write the following rational numbers in their lowest terms:
1. 24/192
2. 12/168
3. 21/49​

Answer:

79.25 mm³

Step-by-step explanation:

The figure can be decomposed into 2 different half cylinders and a rectangular prism

Volume of the figure = volume of the smaller half cylinder + larger half cylinder + rectangular prism

✔️Volume of smaller half cylinder = ½(πr²h)

r = ½(2) = 1 mm

h = 5 mm

π = 3.14

Volume of smaller half cylinder = ½(3.14*1²*5)

= 7.85 mm³

✔️Volume of larger half cylinder = ½(πr²h)

r = ½(4) = 2 mm

h = 5 mm

π = 3.14

Volume of smaller half cylinder = ½(3.14*2²*5)

= 31.4 mm³

✔️Volume of rectangular prism = L*W*H

L = 5 mm

W = 4 mm

H = 2 mm

Volume = 5*4*2 = 40 mm³

✅Volume of the figure = 7.85 + 31.4 + 40

= 79.25 mm³

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent

Therefore, 6/8 would be the answer which simplifies to 3/4.

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.

[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.

Answer:

just multiply 95 times 1.2 which is 114

Answer: See below. I did the first one as an example

Step-by-step explanation:

to find slope between 2 points use the formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

1) (19,-16) ( -7,-15)

the first value in each pair is the x, the 2nd value is the y

19= x1

-7-x2

-16=y1

-15=y2

[tex]m=\frac{-15--16}{-7-19} \\m=\frac{1}{-26} \\m=-\frac{1}{26}[/tex]

Answer:

we can substract the power 4 by taking up with 15 because using indices rule

Answer:

53092.92 square inches

Step-by-step explanation:

Surface Area of a Sphere = 4πr2

Radius = ½D = 130÷2 = 65

4 × 3.14 × 65² = 53092.92

Answer:

4

Step-by-step explanation:

4 students studied 4 hours or more.

Answer:

8

Step-by-step explanation:

at least means minimum so how many students studied a minimum of 4 hours?

Answer:

False, False, True, False

Step-by-step explanation:

1. False. D and F are not parallel as they are intersecting in the diagram.

2. False. Angles 1 and 3 are not corresponding. They are opposite. A pair of corresponding angles would be angles 1 and 5.

3. True. A transversal line is a line that passes through two other lines.

4. False. Angle 6 = 63˚ through corresponding angles. Angle 6 + Angle 7 = 180. 63 + Angle 7 = 180. Angle 7 = 117˚.

i hope this helped :)

Answer:

approximately 2.44 per hour, and 175.92 per day

Step-by-step explanation:

We can use 7.33 as 7 and 1/3rd.

If you take 7.33 and divide by 3, representing 3 hours, it equals 2.44333333.

If you round this to the nearest hundredth, you get the answer 2.44

For each day, you take the original number, 7.33, and multiply it by 8 to assume that the trip was 24 hours.

7.33 * 24 = 175.92.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to rewrite this part word problem completely into numbers

2⁴ ÷ [(3.35 × 0.8) + 5.32]

Now we must solve. Remember to do parenthesis first.

3.35 × 0.8 = 2.68

2.68 + 5.32 = 8

Now we need to find the value of 2⁴

2⁴ = 2 × 2 × 2 × 2 = 16

Finally we need to divide 16 by 8

16 ÷ 8 = 2

So our final answer is 2

Answer: 4.40

Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11

so 4.40x2.5=11

Answer:

k =  6 : 5 : 4

Step-by-step explanation:

BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4

EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4

Answer:

48 in²

Step-by-step explanation:

4x1/2x4x6=48

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)

Answer:

B

Step-by-step explanation:

Do 115000/100x6.5    You get 7.475k

Answer:

the answer is 480 cubic feet

Answer:

A

Step-by-step explanation:

It's correct but you don't show other answers

Answer:

Question Unclear

Step-by-step explanation:

Is this relating to your topic?

1.1.4 Practice: Scale Drawings

Practice

Math 7 Sem 2

Points Possible:5

Name:

Date:

Tips for Success

Read the assignment carefully and make sure you answer each part of the question or questions.

Check your work when you're done.

Your Assignment

Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.

Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.

Adam says he knows another way.

Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.

1. What is the area of the board shown on the scale drawing? Explain how you found the area.

Write your answer in the space below.

2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.

Write your answer in the space below.

3. What is the area of the actual electronics board?

Write your answer in the space below.

Answer:

The answer is 7/20 miles.

Step-by-step explanation:

Just multiply 7/6 x 2/5, then you have the answer

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  a.  1

Step-by-step explanation:

"y is inversely proportional to the cube of x" means ...

  y = k/x³

The value of k can be found from ...

  k = x³y

The second table entry lends itself to easy computation of k:

  k = 1³·8 = 8

Then the third table entry is ...

  y = 8/2³

  y = 1 . . . . matches choice A

Answer:

its a.) 1

Step-by-step explanation:

i got 100 on the test

Answer:

0.3542 = 35.42% probability that the third light is red

Step-by-step explanation:

For each light:

If it is green, 77% probability that the next is green.

If it is red, 77% probability that the next is red.

If the first light is green, what is the probability that the third light is red?

These following outcomes are desired, for the second and third lights:

G - R(0.77, then 1 - 0.77 = 0.23 probability)

R - R(0.23, then 0.77 probability).

So the desired probability is:

[tex]p = 0.77*0.23 + 0.23*0.77 = 0.3542[/tex]

0.3542 = 35.42% probability that the third light is red

Answer:

he needs to increase the length to 17 feet

Step-by-step explanation:

[tex]12 \times 7 \\ = 84 \\ to \: get \: {119}^{2} feet \: he \: must \: say \: \\ 119 \div 7 \\ = 17 \\ = 17 \times 7 = 119 \\ [/tex]

Answer:

28

Step-by-step explanation:

f58t85h85y8578

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

#SPJ2

The slope of the given line d = 7t is 7 kilometers per hour. Then the correct option is A.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Each evening, Billy jogs around the high school track at a constant rate.

The following equation describes the relationship between t, the time he jogs in hours, and d, the distance he jogs in kilometers.

d = 7t

The slope of the line will be 7,

Then graph A is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The formula for the equation of a circle is (x – h) 2 + (y – k) 2 = r 2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

Answer:

A. leg

Step-by-step explanation: