A student builds a model of a race car. The scale is 1:15 in the scale model,the car is 8cm tall. How tall is the actual car?

Answer:

60 seconds in a minute, so

5460 ÷ 60 = 91 beats per second

Answer:

60

Step-by-step explanation:

180 - 120 = 60

Answer:

2x + 3x

3x + 10x

Step-by-step explanation:

like Terms are individual terms that have the same variable in them

Answer:

(4,0) & (9,5)

Step-by-step explanation:

Where the equations cross are the solutions!

Hope this Helps! :)
Happy Studies

Answer:

116,280 ways

Step-by-step explanation:

Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.

20 runners can get first

19 for second

18 for third

17 for fourth.

To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.

I hope this helps!

-TheBusinessMan

The Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

The two given fractions are -

9/8 and 11/12

We have to find out the Least Common Denominator (LCD) of 9/8 and 11/12.

Firstly, we have to check if we can simplify the two given fractions. In this case, we have 9/8 and 11/12 which cannot be simplified further.

Now, we have to multiply the denominators with natural numbers until they there is a first common number in the denominators of the two given fractions.

Multiplying 8 with 2 gives 16. However, there 16 is not a multiple of 12,

Multiplying 8 with 3 gives 24. 12 when multiplied with 2 also gives 24.

So, the Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

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Answer:

660,430 gallons AKA 2499.9995045071 kilograms

you would proably round it to 2500 kilograms

Step-by-step explanation:

looked it up, had the same measurements as you gave

Answer:

number 4 is 244   number 5 is 43

Step-by-step explanation:

order of operations is key here

4:6 to the power of 3 is first

216+7*4

now do 7*4

216+28

now simplify

244

5: this one is a little bit more tricky

do the stuff inside the parentheses first

4^2+1=17

3(17)-2^3

exponent next

3(17)-8

multiply next

51-8

43 is your answer

there you go

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= \(\frac{f(2)-f(0)}{2-0}\)

= \(\frac{0-(-4)}{2-0}\) [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

The key feature of a function include the intercepts and intervals of the function

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

\(\mathbf{Range = [-4,2)}\)

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

\(\mathbf{Domain = [-5,4)}\)

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

\(\mathbf{x-intercept =-2 \ and\ 2}\)

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

\(\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}\)

\(\mathbf{m = \frac{0 - -4}{2 - 0}}\)

\(\mathbf{m = \frac{4}{2}}\)

\(\mathbf{m =2}\)

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

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Answer: 1,176

Step-by-step explanation:

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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the answer is 180°

Step-by-step explanation:

because it rotated 2x and 90+90 is 180

Answer:

Yes they're equal

Step-by-step explanation:

Umm, I'm not sure what we're supposed to solve here but I'm assuming it's to see if the two equations are equal.

We can simply solve them as --> -2 + 6 + 1 -->  -2 + 6 = 4 -->

4 + 1 = 5

Then 1 + 6 + -2 --> 1 + 6 = 7 -->

7 + -2 = 5

They match up and thus, they're equal

When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles

The number of miles Henry ran is calculated by addition operation

The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all

The procedure involves addition of tractions and done as follows

= 1 5/8 + 9/10

= 13/8 + 9/10

adding both fractions will result to

= 101/40 miles

= 2 21/40 miles (as a mixed number)

Henry ran a sum of 2 21/40 miles

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The five in 35.76 is 100 times bigger than the five in 26.95.

Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.

To compare them we need to compare the place value in which each five is.

To compare them, just write the numbers but replacing all the other values by zeros:

35.76 = 05.00 = 5

26.95 = 00.05 = 0.05

Now take the quotient of these two, we will get:

5/0.05 = 100

Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.

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Answer: 847

Step-by-step explanation:

Hopefully this helped!

Answer:

Step-by-step explanation:

Three times a number plus 8 girls would be

3x+8

The variable is x

The constant is 8

and the coefficient is 3

If Trey now has 9 times as many cards as he did when he began collecting, we can use the number of cards he had before as x.

Trey has 9x cards.

The variable in this equation is x and the constant is 9

If Nina has 3 dimes and 1 nickel in her pocket, we can say the dimes are b and the nickel is c

If she found some quarters on the ground, we can say the quarters are A, but we don't know how many, so we need x to represent how many quarters. the Variables in this equation are B, C, and A (b, c, and a)

We can write this in an equation as

3b+c +(ax) the coefficient is x, and the constant is 3

In the equation 2n+4, the variable is n, the coefficient is 4, and the constant is 2

A word problem for this equation could be:

Ray collects marbles. Ray's friend gave him 2 times as many marbles as he already had, and he found 4 marbles on the way home from his friend's house.

Variable for all be x,y,z

Answers are

#1

\(\\ \tt\hookrightarrow 3x+8\)

#2.

\(\\ \tt\hookrightarrow 9x\)

#3

\(\\ \tt\hookrightarrow 3x+4y+z\)

Answer:

5^2×5

=25×5

=125

hope this will help you

Answer:

125

Step-by-step explanation:

hope this helps you

=25×5

=125

Answer:

A=210ft²

Step-by-step explanation:

h/b=12

Answer:

5π/4 radians or 225°

Step-by-step explanation:

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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We divide the sum of products by the sum of inverse variances to get the weighted mean:

To find the weighted mean of the experimental measurements of the mean lifetime of the K_s meson listed in the Particle Data Tables, we need to calculate the sum of the product of each measurement and its inverse variance, and divide it by the sum of the inverse variances. The inverse variance is the square of the inverse of the uncertainty.

First, we calculate the inverse variances for each measurement:

0.0021^-2 = 226757.3696
0.0014^-2 = 510204.0816
0.0016^-2 = 390625
0.0044^-2 = 51612.90323
0.009^-2 = 12345.67901
0.0032^-2 = 97656.25
0.0048^-2 = 43402.77778
0.0045^-2 = 49450.61728

Next, we calculate the product of each measurement and its inverse variance:

0.8971 * 226757.3696 = 203395.4087
0.8941 * 510204.0816 = 456286.5389
0.8929 * 390625 = 348791.5625
0.8920 * 51612.90323 = 46030.23399
0.881 * 12345.67901 = 10866.02305
0.8924 * 97656.25 = 87133.35024
0.8937 * 43402.77778 = 38787.83558
0.8958 * 49450.61728 = 44315.55869

Then, we sum the products and the inverse variances:

Sum of products = 203395.4087 + 456286.5389 + 348791.5625 + 46030.23399 + 10866.02305 + 87133.35024 + 38787.83558 + 44315.55869 = 1248606.5116

Sum of inverse variances = 226757.3696 + 510204.0816 + 390625 + 51612.90323 + 12345.67901 + 97656.25 + 43402.77778 + 49450.61728 = 1471054.6785

Finally, we divide the sum of products by the sum of inverse variances to get the weighted mean:

Weighted mean = 1248606.5116 / 1471054.6785 = 0.848892685

The uncertainty in the mean is the square root of the inverse of the sum of the inverse variances:

Uncertainty in the mean = (1471054.6785)^-0.5 = 0.000822199

Therefore, the weighted mean of the data is 0.848892685 plusminus 0.000822199 in units of 10^-10 s.

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Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

Answer:

Rome, Italy is 1 hour ahead of Casablanca, Morocco.

Answer:

6

Step-by-step explanation:

a=V⅓=216⅓=6

hope this helped

Answer:

the answer is 6 because on each side there is 36 cubic units meaning you need to multiply 6 by what ever number untill you get to 36 and 6*6=36

Step-by-step explanation:

UwU