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

Answers

Answer 1

Answer:

The Answer is gonna be 1. 24/192

Answer 2

Answer:

24/192 = 1/8

12/168 = 1/14

21/49 = 3/7

Step-by-step explanation:


Related Questions

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

Answers

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.

Can someone please help me I will mark u brilliant

Answers

Answer:

The answer is 7/20 miles.

Step-by-step explanation:

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

What is the area of this?

Answers

Answer:

just multiply 95 times 1.2 which is 114

Please help me out!! :)

Answers

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent

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

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 Which graph represents the relationship between the amount of time Billy jogs and the distance he jogs?

Answers

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

What is the linear system?

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

please help with these questions

Answers

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 :)

HELP PLEASE ALGEBRA 1

Answers

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]


Volume of Prisms
1. A pool in the shape of a rectangular prism is being filled with water. The
length and width of the pool is 24 feet and 15 feet. If the height of the water
in the pool is 1 &1/3feet, what is the volume of the water in cubic feet?

Answers

Answer:

the answer is 480 cubic feet

Tyler sold a total of $115,000 of exercise equipment last month. If his commission is 6.5% of sales, how much commission did he earn?

A.
$2,342

B.
$7,475

C.
$12,719

D.
$115,065

Answers

Answer:

B

Step-by-step explanation:

Do 115000/100x6.5    You get 7.475k

How to write 4 508 300
in words?​

Answers

four million five hundred and eight thousand three hundred

Use the given information to write the standard form equation of a circle:

a) x²+y²+10x+14y+70=0 translated 1 unit to the right and 2 units down. ​

Answers

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:

A welder is making a metal sphere. The diameter will be 130 inches. What is the surface area of the metal sphere? Use 3.14 for π and round to the nearest tenth.

Answers

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

Help me I having a hard time with This one

Answers

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?

Plz plz plz plz help

Answers

Answer:

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

PLEASE HELP!!!!!!!! HELP NEEDED ASAP PLS PLS

Answers

Answer:

A

Step-by-step explanation:

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

Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF

Answers

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


question is in the image I put!



Answers

The value for x is 6

A small airplane used 7 1/3 gallons of fuel to fly a 3 hour trip. How many gallons were used each hour? Each day?

Answers

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:

I dont understand
NOOOOO LINKSSSSSS

Answers

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


Pls help

If a varies jointly as b and c, find a when b = 4 and c = -3.

a = -96 when b = 3 and c = -8

a=

Answers

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

1.1.4 practice scale drawing

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.

Which rational number represents a decrease in water level from 8 feet to 6 feet?

A.
6

B.
2

C.

2
D.

6

Answers

Answer:

C

Step-by-step explanation:

The net of a triangular pyramid is shown.

Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net?

Answers

Answer:

48 in²

Step-by-step explanation:

4x1/2x4x6=48

Find the volume of the figure below. Use 3.14 for π, and round your final answer to the nearest tenth.

Answers

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

Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?

Answers

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

i’m confused? this lesson was so confusing

Answers

Answer:

A. leg

Step-by-step explanation:

2 to the 4th power divided by [(3.35 x 0.8) + 5.32]

Answers

Answer:

2

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

29:07
Using the patterns of inverse variation, complete the following table if y is inversely proportional to the cube of x:
x
0.5
64
2
Y
16
a.
1
0.037
4
b.
2
C.
d.
8
Please select the best answer from the choices provided
A
B
С
D

Answers

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

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?

Answers

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)

A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has noticed the following Markov dependence. If he sees a green light at an intersection, then 77% of time the next light is also green. However, if he sees a red light, then 77% of time the next light is also red. (Assume the chance of him seeing a yellow light is zero.) If the first light is green, what is the probability that the third light is red

Answers

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

Other Questions
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