The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1
Part A: Write a sentence to describe the number of cups of blue paint that Lara mbxed with each cup of red paint. (4 points)
Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning. (4 p
Part of Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)
B i Font Family
- AAE
AES
Answers
Answer:
A. Lara added 3 cups of blue paint to every cup of red paint.
B. 1/3 because 3*1/3 is 1
C. $8 because 6*8=48
Step-by-step explanation:
Lara mixed three cups of blue paint with one cup of red paint to make a shade of purple paint, 0.33 cups of red paint should Lara add to each cup of blue paint to make the shade of purple and unit price of blue paint is 8.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that 3:1 is the ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint.
The sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint is lara mixed three cups of blue paint with one cup of red paint to make a shade of purple paint.
Now we have to find cups of red paint should Lara add to each cup of blue paint to make the shade of purple
1/3 = about 0.33.
About 0.33 cups of red paint should Lara add to each cup of blue paint to make the shade of purple.
If Lara purchased 6 cups of blue paint for $48.
Then unit price of blue paint is 48/6 which is 8.
Hence, Lara mixed three cups of blue paint with one cup of red paint to make a shade of purple paint, 0.33 cups of red paint should Lara add to each cup of blue paint to make the shade of purple and unit price of blue paint is 8.
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Related Questions
use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
Answers
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
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help me asap pleaseeee
Answers
If the measures, in degrees, of the three angles of a triangle, are x, x+10, and 2x-6, the triangle must be:A. RightB. Equilateral,C. ScaleneD. Isosceles
Answers
The triangle is a scalene triangle.
The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:
x + x + 10 + 2x - 6 = 180
This simplifies to,
4x + 4 = 180,
or 4x = 176, or x = 44
Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.
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blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answers
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
at a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P\left(\overline{x}>22\right)\approx0.05P(x>22)≈0.05?
Answers
The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.
What is Normal probability distribution?The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.
Central limit theorem
The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation , the z-score of a measure X is given by:
Z = x-μ/σ
Given ,
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
The number of standard deviations is measured by the Z-score. The average is used as the measure.
We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.
1 is subtracted from the p value.
We calculate the likelihood that the measure exceeds X.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
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What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
Answers
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
Answers
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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wayne is taking a digit span test. when he hears this series of digits, 3 9 4 2 6 1 2, he realizes the digits match the ages of people in his family; his mother is 39, his father is 42, his little sister is 6, and he is 12. he decides to remember the series of four ages rather than try to recall each digit separately. wayne is using a strategy called
Answers
Instead of attempting to remember each numeral individually, Wayne chooses to memorize the series of four ages. Wayne is employing a tactic known as "chunking."
Define the term called chunking?In a "chunking" project, students rewrite the "portions" of a challenging material in their own words after breaking it down into more digestible chunks.
This method can be applied to difficult texts of every length. Chunking teaches students how to recognize important words and concepts, improves their paraphrasing skills, and makes it simpler for any of them to organize as well as synthesize material.Chunking is an illustration of a technique that aids pupils in breaking up challenging content into more manageable chunks. The ability to paraphrase is developed as a result of breaking up the content into smaller chunks, which also makes it simpler for students acquire organize and synthesize knowledge.Thus, when instead of attempting to remember each numeral individually, Wayne chooses to memorize the series of four ages. Wayne is employing a tactic known as "chunking."
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Can someone help solve?
Answers
Can someone please help me!!!!!!
Answers
2. Is 17
3. Is 59
4. Is 105
5. Is 54
6. Both of them are 73
7. A is 79 B is 112
8. Q is 89 R is 123 S is 91
I’m not doing you’re whole homework so I did the first 8 for you
Ps you’re welcome bud
Which ordered pairs are solutions to the inequality 2x+y>−4?
Select each correct answer.
Responses
(5, −12)
(4, −12)
(0, 1)
(−3, 0)
(−1, −1)
Answers
The ordered pairs which are solutions to the inequality 2x + y > −4 are (0, 1) and (−1, −1)
The correct answer option is option C and E
How to find solution to the inequality?2x + y > -4
Check all optionsA. (5, −12)
2x + y > -4
2(5) + (-12) > -4
10 - 12 ≠> -4
B. (4, −12)
2x + y > -4
2(4) + (-12) > -4
8 - 12 > -4
-4 ≠>-4
C. (0, 1)
2x + y > -4
2(0) + 1 > -4
0 + 1 > -4
1 > -4
D. (−3, 0)
2x + y > -4
2(-3) + 0 > -4
-6 + 0 > -4
-6 ≠> -4
E. (−1, −1)
2x + y > -4
2(-1) + (-1) > - 4
-2 - 1 > -4
-3 > - 4
Therefore, the ordered pairs which are solutions to the inequality 2x + y > −4 are (0, 1) and (−1, −1)
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An adult gerbil at Fish 'n' weighed 1/5 lb. A young gerbil weighed 1/4 of that amount. How many did the young gerbil weigh?
Answers
During one year, the mass of a child increased from 10 kg to 20 kg. Calculate the percentage increase.
Answers
Answer:
i guess by 100%
Step-by-step explanation:
increased in weight= 10
percentage increase=( increased weight by initial weight)×100
= (10/10)*100
100%
Answer:
Step-by-step explanation:
mass of a child increased=10 kg
increased percentage =10/10*100%
=1*100%
=100%
dy/dt =y+2u, y(0)=5, u= step change of unity
Answers
The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2
The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.
To solve this differential equation, we can use the method of integrating factors.
First, let's rearrange the equation in the standard form:
\(\[\frac{{dy}}{{dt}} - y = 2u\]\)
Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.
In this case, the coefficient of y is -1:
Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)
Multiplying both sides of the equation by the integrating factor gives:
\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)
The left side of the equation can be rewritten using the product rule of differentiation:
\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)
Integrating both sides with respect to t gives:
\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)
Since u is a step change of unity, we can split the integral into two parts based on the step change:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)
Simplifying the integrals gives:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)
Evaluating the integral on the right side gives:
\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)
\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)
Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:
\(\[e^{-t}y = 2(-e^{-t})\]\)
Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2
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Simplify 4(6 - 2x) - 3(3 - 4x)
a)15 - 6 x
b)15 - 20 x
c)4 x + 15
Answers
Answer:
c) 4x + 15
Step-by-step explanation:
4(6-2x) - 3 (3-4x) is the given equation
The first thing that needs to be done is to distribute
24-8x - 9+12x (Remember a negative + negative = positive)
The second step is combing like terms.
24-9=15 -8x+12x=4x
The last step is making the equation.
4x + 15
Someone help pls I forgot how to do it
Answers
(2,4)
Step-by-step explanation:
I'm not sure in the slightest but with the formula I learned I think this is correct
solve the equation 7x-2(x-10)=40
Answers
Answer:
7
−
2
(
−
1
0
)
=
4
0
7x{\color{#c92786}{-2(x-10)}}=40
7x−2(x−10)=40
7
−
2
+
2
0
=
4
0
Step-by-step explanation: therefore your answer would be x=4
BRAINLIEST PLEASE
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7x−2(x−10)=40
7x+(−2)(x)+(−2)(−10)=40(Distribute)
7x+−2x+20=40
(7x+−2x)+(20)=40(Combine Like Terms)
5x+20=40
5x+20=40
Step 2: Subtract 20 from both sides.
5x+20−20=40−20
5x=20
Step 3: Divide both sides by 5.
5 divided by 20 = 4
5 divided by 5 =1
x=4
Use the long division method to find the result when 3x³ +19x² + 23x + 15 is
divided by 25.
Answers
The result by using long division method for the given polynomial equation is: 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]
What is long division method?
In mathematics, the long division method can be performed on the polynomial equations. Basically, in this big equation can be solved by making smaller group of equations to make the calculation simple. It divide the dividend with divisor.
According to the question, the given polynomial equation is 3x³ +19x² + 23x + 15. Using long division method, divide it by 25
Therefore, the expression can be written as:
Required expression: \(\frac{3x^{3} +19x^{2} + 23x + 15 }{25}\)
Dividing it by 25, we get:
(25/3x³) +(25/19x²) + (25/23x) + (25/15)
⇒ 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]
Hence, the result by using long division method for the given polynomial equation is: 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]
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Se quiere formar un cuadrado con el menor lado posible utilizando rectángulos de 12 cm de base y 15 cm de altura disponiendolos como se muestra en la figura. Encuentra la medida del lado del cuadrado que se muestra a continuación:
Answers
The side lengths mentioned in option E are the sides of the right angled triangle.
Three given side lengths of a triangle a, b and c are said to be the sides of the right triangled triangle if -
a² = b² + c²
We can write for the given set of numbers in option 5 as -
(13)² = (12)² + (5)²
169 = 144 + 25
169 = 169
LHS = RHS
So, the side lengths mentioned in option E are the sides of the right angled triangle.
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simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answers
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
Answered by GAUTHMATH
Question 5 of 10
Which pair of functions are inverses of each other?
O A. f(x) = 2 + 15 and g(x) = 12x - 15
O B. f(x) = √3x and g(x) = () ³
O c. f(x) = 3 - 10 and g(x) = +10
3
D. f(x) = 11x-4 and g(x) = +4
Answers
The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11
To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.
Let's test each option:
Option A:
f(x) = x/2 + 15
g(x) = 12x - 15
f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x
g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x
Option B:
f(x) = ∛3x
g(x) = (x/3)^3 = x^3/27
f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x
g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x
Option C:
f(x) = 3/x - 10
g(x) = (x + 10)/3
f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x
g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x
Option D:
f(x) = 11x - 4
g(x) = (x + 4)/11
f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x
g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x
Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:
D. f(x) = 11x - 4 and g(x) = (x + 4)/11
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What is solve -x+4=x+6
Answers
1+4=-1+6
5=5
I hope that helped there’s the step by step to explain a little more that first x was already a negative so so to plug it in you would have to bring that negative in ground of the answer of x like so -(-1) those negative would then cancel each other out making it just 1 but if x=1 then it would be -(1) and it was make it -1 hope this helped :)
name the geometric solid suggested by a typical american house. a. rectangular pyramid
b. sphere triangular
c. pyramid pentagonal
d. prism
Answers
The geometric solid suggested by a typical American house is:
d. Prism
A typical American house often has a rectangular base and parallel, congruent faces.
This shape is best represented by a rectangular prism.
The geometric solid suggested by a typical American house is a prism, specifically a rectangular prism.
A prism is a three-dimensional solid that has two congruent and parallel bases that are connected by a set of parallelograms.
A rectangular prism has two rectangular bases and rectangular faces that are perpendicular to the bases.
Most American houses are rectangular in shape and have a flat roof, which suggests that they are in the form of a rectangular prism.
The walls of the house form the rectangular faces of the prism, and the roof forms the top face of the prism.
The rectangular shape of the house provides a practical and functional design that allows for efficient use of interior space.
It is also an aesthetically pleasing design that has become a standard for American homes.
d. Prism.
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how many seconds in an hour
Answers
Answer:
there are 3,600 seconds in one hour.
(60 x 60)
Conversion Factors -
1000 milliseconds = 1 second
60 seconds = 1 minute
60 minutes = 1 hour
Find the partial fraction decomposition for the following rational expression. t-5t² - 6 (t + 4)(t − 1)(t − 2) Answer: A B = Answer: and C Using the partial fraction decomposition above, evaluate the integral J = A t +4 t-5t² - 6 (t + 4)(t − 1)(t − 2) - B dt. + 1 t C ▶ 2
Answers
The partial fraction decomposition for the rational expression t-5t² - 6 / ((t + 4)(t − 1)(t − 2)) is:
t-5t² - 6 / ((t + 4)(t − 1)(t − 2)) = A/(t + 4) + B/(t - 1) + C/(t - 2)
Using the partial fraction decomposition, the integral ∫(t-5t² - 6 / ((t + 4)(t − 1)(t − 2))) dt becomes:
∫(A/(t + 4) + B/(t - 1) + C/(t - 2)) dt
To find the values of A, B, and C, we need to find a common denominator for the right-hand side of the partial fraction decomposition. In this case, the common denominator is (t + 4)(t - 1)(t - 2).
Setting up the equation:
t-5t² - 6 = A(t - 1)(t - 2) + B(t + 4)(t - 2) + C(t + 4)(t - 1)
Expanding and simplifying:
t-5t² - 6 = A(t² - 3t + 2) + B(t² + 2t - 8) + C(t² + 3t - 4)
Now, let's equate the coefficients of the corresponding terms:
For the constant term:
-6 = 2A - 8B - 4C
For the coefficient of t:
-5 = -3A + 2B + 3C
For the coefficient of t²:
1 = A + B + C
We have a system of three equations with three unknowns. Solving this system of equations will give us the values of A, B, and C.
Solving the system of equations, we find:
A = 1
B = -2
C = -3
Now we can substitute these values back into the partial fraction decomposition:
t-5t² - 6 / ((t + 4)(t − 1)(t − 2)) = 1/(t + 4) - 2/(t - 1) - 3/(t - 2)
Using this partial fraction decomposition, we can now evaluate the integral:
∫(1/(t + 4) - 2/(t - 1) - 3/(t - 2)) dt
Integrating term by term, we get:
∫(1/(t + 4)) dt - 2∫(1/(t - 1)) dt - 3∫(1/(t - 2)) dt
Applying the integral formula, we have:
ln|t + 4| - 2ln|t - 1| - 3ln|t - 2| + C
Therefore, the integral ∫(t-5t² - 6 / ((t + 4)(t − 1)(t − 2))) dt using the partial fraction decomposition is:
ln|t + 4| - 2ln|t - 1| - 3ln|t - 2| + C
The partial fraction decomposition of the rational expression t-5t² - 6 / ((t + 4)(t − 1)(t − 2)) is 1/(t + 4) - 2/(t - 1) - 3/(t - 2). Using this decomposition, the integral ∫(t-5t² - 6 / ((t + 4)(t − 1)(t − 2))) dt evaluates to ln|t + 4| - 2ln|t - 1| - 3ln|t - 2| + C.
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Find the scalar equation of the plane that contains the point
(2,-1,5) as well as the line (x,y,z) = (1,2,3) + t(3,4,-3)
Answers
The scalar equation of the plane that contains the point (2, -1, 5) and the line (x, y, z) = (1, 2, 3) + t(3, 4, -3) is:
4x + 3y + 17z = 90.
To find the scalar equation of the plane that contains the point (2, -1, 5) and the line (x, y, z) = (1, 2, 3) + t(3, 4, -3), we need to determine the normal vector of the plane.
The direction vector of the line is (3, 4, -3), and any vector perpendicular to this direction vector will be normal to the plane. We can find such a vector by taking the cross product of the direction vector and a vector from the given point (2, -1, 5) to a point on the line (1, 2, 3).
Let's calculate the cross product:
v1 = (3, 4, -3) (direction vector of the line)
v2 = (1, 2, 3) - (2, -1, 5) = (-1, 3, -2) (vector from (2, -1, 5) to (1, 2, 3))
Cross product: v1 x v2 = (4, 3, 17)
Now we have the normal vector of the plane: (4, 3, 17).
Using the general form of the scalar equation of a plane:
Ax + By + Cz = D
where (A, B, C) is the normal vector and (x, y, z) are the coordinates of a point on the plane, we can substitute the values:
4x + 3y + 17z = D
To find the value of D, we can substitute the coordinates of the given point (2, -1, 5):
4(2) + 3(-1) + 17(5) = D
8 - 3 + 85 = D
D = 90
Therefore, the scalar equation of the plane that contains the point (2, -1, 5) and the line (x, y, z) = (1, 2, 3) + t(3, 4, -3) is:
4x + 3y + 17z = 90.
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I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answers
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
Which number sentence is true?
8.5 <2.97
B
8.5 > 2.97
8.5 = 2.97
Please help
Answers
I'm pretty sure it's 8.5 > 2.97
I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answers
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
same has 4 times as many nickels as dimes. he had 0.90 in all. how many coins of each type does he have>
Answers
The number of dimes are 2 and number of nickels are 8 according to the sum and number of coins.
Let the number of dimes be x. The number of nickels will be 4x. Also, as per the known fact, the value of dimes is 0.1 and value of nickels is 0.05. Keeping the values in formula -
0.05x + 0.1×4x = 0.90
0.05x + 0.4x = 0.90
Performing addition on Left Hand Side of the equation
0.45x = 0.9
Rewriting the equation
x = 0.9/0.45
Performing division on Right Hand Side of the equation
x = 2
Number of dimes = 2
Number of nickels = 4×2
Performing multiplication
Number of nickels = 8
Thus, there 2 dimes and 8 nickles.
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