Simplify each of the following.
7^2 x 7^3
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Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

[tex] =\tt \frac{14}{25} \times 500 [/tex]

[tex] =\tt \frac{14 \times 500}{25} [/tex]

[tex] = \tt \frac{7000}{25} [/tex]

[tex] \color{plum}= \tt280 \: people[/tex]

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

[tex] = \tt \frac{3}{200} \times 1000[/tex]

[tex] =\tt \frac{3 \times 1000}{200} [/tex]

[tex] = \tt\frac{3000}{200} [/tex]

[tex]\color{plum} = \tt15 \: defective \: cars[/tex]

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.

Answer:

TU= 4 mm

Step-by-step explanation:

a^2+b^2=c^2

3^2+b^2=5^2

9+b^2=25

b^2=16

b=4

Answer:

see explanation

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 = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line

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Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line

Answer:  

distributive property  

9x+15  

Step-by-step explanation:  

The distributive property is whenever you have () and distribute until you have zero of these ()

The equivalent expression simply means write this equation differently.

Answer:

[tex]c. \\ x(x+3)[/tex]

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Answer:

Characteristics? I don't know

Step-by-step explanation:

Answer:

I'm answering so you can give him brainliest!

Step-by-step explanation:

Answer:

2 kg cashews

6 kg pecans

Step-by-step explanation:

System of Equations:

c + p = 8

8c + 7p = 8(7.25)

let c = 8-p

8(8-p) + 7p = 58

64 - 8p + 7p = 58

-p = -6

p = 6

Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Answer:

It will have traveled 375 miles

Step-by-step explanation:

Answer:

You can't solve since there is no variables

The inequality from the question is true

Answer:

the answer is B y=6x+2

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Hope this helps.

Answer:

The track team sold 31 short sleeved t-shirts.

Step-by-step explanation:

If there were 40 t-shirts sold, then you'd have to find how many short sleeved and long sleeved t-shirts were sold to get the amount of money made. Basically, all I did was start with 20:20. I multiplied the cost of each type of shirt by 20, however, the money from selling long sleeved t-shirts is a lot more than the actually amount. So then, I went to 30:10 with short sleeved and then long sleeved. The amount (when added together) was pretty close to the actual amount but it was still a tiny bit higher than the actual. So, I did 31:9 and the amount came out right.

Answer:

27 ³ + 64

Step-by-step explanation:

Answer:

117

(-3) × (-39) = 117

Step-by-step explanation:

hope it helps!

Answer:

4 1/12 is your answer

Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

6.8 hours.

Step-by-step explanation:

200/4 = 50

340/50 = 6.8

Answer:

5.98°

Step-by-step explanation:

Given

with reference angle 50.1°

perpendicular (p) = x

base (b) = 5

Now

tan 50.1° = p / b

1.195 = x / 5

x = 1.195 * 5

x = 5.98

Hope it will help :)

Answer:

2x + 3/10

Step-by-step explanation:

2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10

Hi there!

The substitutions are 10 and 0.

Answer:

(2,8)

Step-by-step explanation:

I'm not so sure but if I were answering I would have picked (2,8)

Answer:

4x(3x+7)

Step-by-step explanation:

12x^2+28x

factor out the 4x

4x(3x+7)

Answer:

Have you tried 5 x pi?

Good luck! Hope that helps!

Answer:

the measure of angle B is 50

Step-by-step explanation:

the measure on the other side of the 120 is 60

hope this helps!!

Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D

Answer:

120 ft squared

Step-by-step explanation:

First you find the areas of all the triangle surfaces and add them up

1/2 * b * h = 21

21 *4 = 84

Find the area of the square base and add the 2 values up

6^2 = 36

36+84 = 120