Chris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

\frac{y}{z} = \frac{4}{11}

z

y

=

11

4

So

11y = 4z11y=4z

y = \frac{4z}{11}y=

11

4z

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

\frac{x}{y} = \frac{13}{9}

y

x

=

9

13

9x = 13y9x=13y

x = \frac{13y}{9}x=

9

13y

All of them is 100%

This means that:

x + y + z = 1x+y+z=1

We need to find z.

y = \frac{4z}{11}y=

11

4z

x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=

9

13y

=

9∗11

13∗4z

=

99

52z

Then

x + y + z = 1x+y+z=1

\frac{52z}{99} + \frac{4z}{11} + z = 1

99

52z

+

11

4z

+z=1

The lcm(least common multiple) between 11 and 99 is 99. Then

\frac{52z + 9*4z + 99z}{99} = 1

99

52z+9∗4z+99z

=1

187z = 99187z=99

z = \frac{99}{187}z=

187

99

z = 0.5294z=0.5294

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Answer:

4.65

Step-by-step explanation:

13.78 - m = 9.13

13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)

m = 13.78 - 9.13  (adding m to both sides)

m = 4.65

Answer:

m=22.91

Step-by-step explanation:

13.78+9.13=22.91

Answer:

Step-by-step explanation:

Answer:

−2.4(m−2/3)=−9  First you do the problem inside the parenthesis. Then figure out the answer for that and then -2.4 with whatever the answer was. then you will have the answer

Step-by-step explanation:

hope this hels

Answer: 4.416 (the 6 should have a line on top to show it goes on)

Step-by-step explanation:

Answer:

105 in^3

Step-by-step explanation:

V=whl

Volume = width x height x length

Volume = 3 x 5 x 7

Volume = 15 x 7

Volume = 105

Answer:

107 patients

Step-by-step explanation:

This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer

Answer:

which question

Step-by-step explanation:

Answer:

1. y = 12.50x + 30

Step-by-step explanation:

A holiday meal cost $12.50 a person plus a delivery fee of 30$

Let x = number of people ordering a meal and y = total cost

It cost 12.50 per person so the cost regarding the number of people that orders food can be represented by 12.50x.

There is also a $30 delivery fee.

So the total cost would (y) = 12.50x + 30

The answer would be 1. 12.50 and 30 just swapped places.

Answer:

28 ft

Step-by-step explanation:

since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board

Answer:

28 feet

Step-by-step explanation:

To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.

well, change 15/4 into a decimal, 3.75. And now, we can see which is greater. Considering the wholes, 2 and 3,   3 is greater than 2, so it would be 2.2 < 15/4.

So, basically A I think.

Answer:

B

Step-by-step explanation:

The distance if you look at the graph has started on 20 so that will be it when they drive

Answer:

7 ÷ 1/4 = 7 × 4

2/3 ÷ 4/5 = 2/3 × 5/4

4/5 ÷ 3/2 = 4/5 × 2/3

1/4 ÷ 1/7 = 1/4 × 7

Answer:

Green is with C, Blue is with A, Orange is with D, Purple is with B

Step-by-step explanation:

Hi!

So, it's been a while since I've done math like this, so the way I solved this was simply by doing the equations themselves and seeing which one matches. I'm sure there is an algebraic way to find which ones match, but this is all I know how to do :)

(By the way...I got the decimals by doing the fraction itself. 1 divided by 4(1/4th)=.25, as an example)

1(left)-7/1/4 is the same as 7/ .25. This is 28.

2(left) 2/3/ 4/5 is the same as .6666666/ .8. This is .83333repeating

3(left) 4/5 / 3/2 is the same as .8/1.5. This is .53333repeating

4(left) 1/4 / 1/7 is the same as .25/.143. This is 1.74(approx.)

1(right) 2/3 x 5/4 is the same as .66666 x 1.25 This is .8333 approx.

2(right) 1/4 x 7 is the same as .25*7. This is 1.75

3(right) 7*4 is 28.

4(right) 4/5 x 2/3 is the same as .8x.66666. This is .533

Now, we can match.

Green is with C.

Blue is with A

Orange is with D

Purple is with B

Hope I could help!

Answer:

a. Meg needs to find the part

b. Steve needs to find the percent.

Step-by-step explanation:

A. Does Meg need to find the part, the whole, or the percent.

Meg already knows the whole and the percent.

The whole is the entire number of dogs seen: 16 dogs.

The percent is 50%.

Hence, she needs to find the part: this is how many (what part) of the 16 dogs she saw were boxers.

And she can do with a simple operation:

Part = whole × percent = 16 × 50% = 8. This is 8 dogs of 16 were boxers.

B. Does Steve need to find the part, the whole, or the percent.

He already knows the part (7 of the 35 dogs were boxers) and the whole (35 dogs).

Then he needs to find the percent, which he can do using the next operation:

Percent = (part / whole) × 100 = (7/35)×100 = 20%

Step-by-step explanation:

Part 1:

Meg needs to find the whole as 50% of the dogs = 5 therefore 100% equals 10 dogs.

Part 2:

Steve saw 50% out of two dogs meaning that he only saw 1 dog that is a boxer.

Answer:

375 - 243.75 = 131.25

Step-by-step explanation:

The length of fabric still needed is 131.25 m.

Hope this helped!

Answer:

115; 115

Step-by-step explanation:

In this case, 1380 is the dividend, 12 is the divider, and the answer is the quotient. Thus we get the quotient, or each payment, is 1380/12=115

Answer:

A

Step-by-step explanation:

the numerator always goes into the dividend, and in this case the dividend is 7, so 7/9 is correct rather than 9/7. and the decimal form is 0.7777777+ it is not 0.7 because the question keeps adding zeros when the whole number is supposed to be 7, not 7.000. hope that helps.

Answer:

3 1/3 feet

Step-by-step explanation:

Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.

Hope this helps :)

Answer: 1

Step-by-step explanation: 1 is the greatest common factor of 70 and 33.

Answer:

x = 3

Step-by-step explanation:

720x + 10 = 2170

=> 720x = 2160

=> x = 3

Hoped this helped.

Answer:

x = 3

Step-by-step explanation:

First subtract 10 from 2,170 to get 2,160.

Next isolate the x variable by dividing 720 on both sides to get x = 3.

Hope this helps you :)

Answer:

5

Step-by-step explanation:

The rules for the hypotenuse is side a^2+side b^2=hypotenuse^2

a=3

b=4

3^2=9

4^2=16

9+16=25

5^2=25, so 5 is the hypotenuse.

:)

Answer:

The scale of the map is 20cmx30cm

The dimensions of the garden is 6cm for width and 20 cm for the length

Step-by-step explanation:

Answer: the scale of the thing is  20cm x30cm

Answer:

Part A - Yes; y=5/3w        Part B - No; e=h+2

Step-by-step explanation:

The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements            Proportional

White 3 6 9 12 15

Yellow 5 10 15 20 25

Hector’s Flower Arrangements          Not Proportional

White 4 8 12 16 20

Yellow 6 10 14 18 22

Part A

Are the numbers of white and yellow flowers in Cara’s arrangements proportional?

Which equation relates the number of white flowers, w, to the number of yellow flowers, y?

Yes; y=3/5w

Yes; y=5/3w CORRECT ANSWER

No; y=3w+5w

No; y=5+3w

Part B

Are the numbers of white and yellow flowers in Hector’s arrangements proportional?

Which equation relates the number of white flowers, h, to the number of yellow flowers, e?

Yes; e=3/2h

Yes; e=2/3h

No; e=h+2 CORRECT ANSWER

No; e=h−2

They are correct because Part A is 1.666667  thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.

Answer:

B. 0.7

Step-by-step explanation:

3.5/5=0.7

Answer:

B 5*2*8

Step-by-step explanation:

To calculate the volume multiply the 3 dimensions together. you don't use the diagonal.

Answer:

w=-6

Step-by-step explanation:

-2(-6)>-4

12>-4

This is true.