Express the following rate as a unit rate:

Biking 16 miles in 2 hours

Answer:

[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]

Step-by-step explanation:

Given:

In a class the ratio of boys to girls is 4:7.

The total number of students is between 24 and 40.

Solve for:

The total number of students

Solution:

The total number of student could be divided in portions with ratio 4:7

=> It must be the divisor of (4 + 7) or 11.

Otherwise, it is a number between 24 and 40.

There is only one divisor of 11, lying between 24 and 40. That is 33

=>  The total number of students: 33

Hope this helps!

:)

Answer:

Step-by-step explanation:

tan x-cot x

[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]

Answer:

6 units cubed

Step-by-step explanation:

The volume will simply be the volumes of all the little cubes added together.

The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:

V = s³ = (1/2)³ = 1/8 units cubed

We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:

48 * (1/8) = 6 units cubed

Thus, the prism is 6 units cubed.

~ an aesthetics lover

Answer:

[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]

Given:

Total numbers of cubes in a prism = 48

Side length of each cube = [tex] \frac{1}{2} [/tex] unit

Step-by-step explanation:

[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]

[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]

Answer:

6564.696

Step-by-step explanation:

A=6,000×(1+0.046)^(2)

A=6,564.696

Answer:

18x = 90

x = 5

Step-by-step explanation:

Since it is a 90° angle, you can use 11x + 7x = 90

18x = 90

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

6k-3 or 3(2k-1)

Step-by-step explanation:

First, you need to multiply 1/2 by both the numbers in the parentheses

1/2(12k-6)=

Then, you need to simplify your answer

*If needed, you can simplify further by taking out a factor of 3

Answer:

[tex]3(2k-1)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}(12k-6)[/tex]

Expand the bracket by multiplying by 1/2:

[tex]6k-3[/tex]

Simplify further by taking out a factor of 3:

[tex]3(2k-1)[/tex]

Answer:

x= 13

Step-by-step explanation:

10*10+8*8=x2

100+64=x2

164=x2l

Answer:

Both A and D

Step-by-step explanation:

Not absolutely 100%, but I think it's the answer.

Answer:

2.88449914

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think you are right

Hope it helps

Answer:

- 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 9x - 9 ← is in slope- intercept form

with y- intercept c = - 9

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

==========================================================

Work Shown:

x = side length of cube = 6 inches

SA = surface area of cube

SA = 6x^2

SA = 6*6^2

SA = 6*36

SA = 216 square inches

------------

side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area

SA = 2*(L*W+L*H+W*H)

where L,W,H are the length, width and height respectively.

Answer:2,3,4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

just see the slope of FG

from F to G is 5 to the right and 1 goes up.

then, see the F'G' slope

its 10 to the right and 2 goes up

it TWICE

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

Read more:

https://brainly.com/question/11288844

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The answers are in the attachment already; I guess you need an explanation.

For the first answer

- The bars of Paris, Oslo and Munich are not properly drawn.

This is so because distance between the bats of a bar chart is expected to be the same between all bars.

From the attachment above, it doesn't look so because the bats of these three cities are out of position.

In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.

- The Temperature in the y axis doesn't start with 0

When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.

- In Munich, the bar graph for x axis is taken more than 1 unit.

The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars

Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer:

Correct option: second one

Step-by-step explanation:

To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).

[tex]V(t) = 10t[/tex]

[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]

Correct option: second one

Answer:BBBBBBBBB

Step-by-step explanation:

Answer:

The volume of the oven is 75 ft^3

Step-by-step explanation:

Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.

Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.

Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2

Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3

Answer: -7.875

Step-by-step explanation:

Answer:A

Step-by-step explanation:  The range are all othe y values (the outputs) in chronological order

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation: