The ratio of the number of songs Brody bought to the number of songs Jayliah bought is 2:3. The ratio of the number of songs Jayilah has bought to the number of songs Sadie bought is 4:5. If Sadie has bought 30 songs how many songs has Brody bought.

Answers

Answer 1

Answer:

Brody purchased 16 songs.

Step-by-step explanation:

Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3

[tex]\frac{B}{J}=\frac{2}{3}[/tex] ------(1)

Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5

[tex]\frac{J}{S}=\frac{4}{5}[/tex] -------(2)

If Sadie bought the songs (S) = 30

From equation (2),

[tex]\frac{J}{30}=\frac{4}{5}[/tex]

J = [tex]\frac{4\times 30}{5}[/tex]

J = 24

By substituting the value J = 24 in equation (1),

[tex]\frac{B}{24}= \frac{2}{3}[/tex]

B = [tex]\frac{2\times 24}{3}[/tex]

B = 16

Therefore, number of songs purchased by Brody = 16.


Related Questions

Over the Summer, Ron played video games 5 hours per day. When school began in the Fall, he was only allowed to play video games for an hour per day. What is the percent decrease?

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Answer:

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Step-by-step explanation:

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Answer:

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What value of x makes this equation true? 0.6x − 5 = 0.1x + 7

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

Consider perfect squares on either side of 132, that is

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Answer:

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Step-by-step explanation:

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Answers

y= 4
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Answer:

2y=8

Step-by-step explanation:

your goal is to get y by itself

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles.

Answers

Answer:

Carlos rode further on Sunday by [tex]1\frac{51}{56} miles[/tex] miles.

Step-by-step explanation:

Carlos covered distance on Saturday [tex]=\frac{139}{8}[/tex]

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Equivalent fractions:

[tex]\frac{139}{8} \times \frac{7}{7}=\frac{973}{56}\\ \frac{135}{7} \times \frac{8}{8}=\frac{1080}{56}[/tex]

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So, Carlos rode further on Sunday by [tex]1\frac{51}{56} miles[/tex] miles.

Answer:

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Step-by-step explanation:

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Answers

H(-2) = 2(-2)^2 - 3(-2)
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с
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E
F
А
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Question 5 of 10
Which points are separated by a distance of 7 units?
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Answers

Answer:

d

Step-by-step explanation:

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Help:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(::(:(:(::(:(:(:(:(::(:

Answers

Answer:

2 cups of venigar to 4 cups of water

Step-by-step explanation:

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Answer:

B 2 cups of vinegar to 4 cups of water

Step-by-step explanation:

YOU'RE WELCOME

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian's first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Answers

Answer:

21.9 feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Given parameters

Altimeter of vivian at its lowest point = -9.6 feet

Altimeter of vivian at the top of the wheel = 12.3feet

Note that the sea level is at 0 feet.

change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:

= (12.3-0)+(0-(-9.6))

= 12.3+(0+9.6)

= 12.3+9.6

= 21.9 feet

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The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.

Answer:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Step-by-step explanation:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

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Answers

Answer:

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Step-by-step explanation:

IxI = 4can either be 4 or -4

Answer:

just put the point on 4

Step-by-step explanation:

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Answers

Solutions Solving Steps 8x-3y=6-4x Substitute y = 0 8x-3x 0=6-4x Calculate the product 8x-0 =6-4x Remove 0 8x= 6-4x Move the variable to the left 8x+4x= 6 Collect like terms 12x = 6 Divide both sides Solution X=1/2 Alternative Form X= 0.5 , x=2^-1
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Answers

Answer: 6.32 units

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Study the steps used to solve the equation

Given - 5 = 7

Choose the property that justifies each step of the

solution

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2

Step 2

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ulu olov ulu un

<

Step 1:

Step 2:

Step 3:

Step 4.

= 12

<<

Step 3: Ž=

Step 4:2 (1) = 12(2)

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Answers

Answer:

c = 24

Step-by-step explanation:

The given equation is :

[tex]\dfrac{c}{2}-5=7[/tex]

Adding both sides by 5 both sides,

[tex]\dfrac{c}{2}-5+5=7+5\\\\\dfrac{c}{2}=12[/tex]

Cross multiplying both sides,

[tex]c=2\times 12[/tex]

c = 24

So, the value of c is 24.

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Answers

Answer:

it is 18,920 feet above sea level

Step-by-step explanation:

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Answer:

26

Step-by-step explanation:

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Answer:

26

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The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?

Answers

Answer: -0.55

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Answers

Answer:

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Write an inequality that shows the number
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 1000 pounds. He plans to use his utility vehicle to haul blocks to his backyard.
of 3-pound blocks, b, Derek can haul at one time in his utility vehicle

Answers

Answer:Write an inequality that shows the number

Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 1000 pounds. He plans to use his utility vehicle to haul blocks to his backyard.

of 3-pound blocks, b, Derek can haul at one time in his utility vehicle

Step-by-step explanation:

The inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle is b ≤ 281

Given,

Derek weighs 155 pounds.

The utility vehicle can carry a maximum of 1000 pounds.

He plans to use his utility vehicle to haul blocks to his backyard of 3-pound blocks.

We need to find the inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle.

How do we distribute equally a whole amount into a number of items?

We divide the total amount by the number of items.

Example:

15 kg for 5 boxes.

Each boxes weigh = 15/5 = 3 kg.

Find the pounds the utility vehicle can carry.

= 1000 pounds

Find the remaining pounds the utility can carry.

= 1000 - 155

= 845 pounds

Find the number of 3-pound blocks that can be carried by 845 pounds.

= 845 / 3

= 281.66 blocks

Now,

Since the number of 3-pound blocks can not be in decimal numbers we have,

281 blocks.


We can write this as:

b = number of 3-pound blocks

b less than or equal to 281 blocks.

b ≤ 281

Thus the inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle is

b ≤ 281

Learn more about how to write a sentence as an inequality here:

https://brainly.com/question/26644213

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Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.

100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87

Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its D i took test 2020 edge

A baker is making cakes.

She starts with 48 eggs.
She makes 10 cakes.
She has 18 eggs leftover.
Which equation can be used to find the number of eggs, x, the baker uses in each cake?
A.) 10x+18=48
B.) 18x+10=48
C.) 10(x+18)=48
D.) 18(x+10)=48

Answers

Answer:

A. 10x+18=48

Step-by-step explanation:

She uses x eggs per cake, and she bakes 10 cakes. She has 18 eggs left over. So the product of the 10 cakes and the number of eggs she used for each cake, plus the 18 eggs left over will get you the ending answer of 48.

A railroad car container can hold 42,000 pounds. Mr. Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container? Explain. (each oven weighs 200 pounds)

Answers

Answer:

THe number of freezers that can be shipped along with 50 ovens is 40

Step-by-step explanation:

total weight of ovens being shipped is 18000 lb. and in order to find the excess weight we have to subtract the ovens weight and the total carrier weight.

equation is:

42,000 - 18000= 24000 lbs.

you then divide the left over pounds by the weight of the freezers to get the total amount of freezers that can be put into a railcar.

24000/600=40

So 40 freezers and 90 ovens can fit within one railcar.

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