Mathematics : asked on lailalorinda

31.01.2020

Find the missing number in the proportion.
4/3 = x/9

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09.07.2023, solved by verified expert

Nitin Arora

m Master

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

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Mathematics

Find the missing number in the proportion. 4/3 = x/9

Step-by-step answer

P Answered by Master

Step-by-step explanation:

$\frac{4}{3} = \frac{x}{9} \\ \\ \implies \: 3x = 4 \times 9 \\ \\ \implies \: 3x =36 \\ \\ \implies \: x = \frac{36}{3} \\ \\ \implies \: x =12$

Mathematics

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction 2. Use cross product: 9(16) = 6x 3. Simplify: 144 = 4. Divide: = x

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P Answered by Master

6x and 24

Step-by-step explanation:

Mathematics

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction 2. Use cross product:9(16) = 6x 3. Simplify: 144 = 4. Divide: = x

Step-by-step answer

P Answered by PhD

x = 24

Step-by-step explanation:

9/6 = x/169(16)= 6x144 = 6xx = 144/6x = 24

Mathematics

Step-by-step answer

P Answered by Master

6x and 24

Step-by-step explanation:

Mathematics

HELP PLEASE Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction 2. Use cross product: 9(16) = 6x 3. Simplify: 144 = 4. Divide: = x

Step-by-step answer

P Answered by PhD

Without the image of the triangle you had, it is not easy to see what the sides are, but the Step-by-step is there to guide you through the process.

You are supposed to get x = 24 for the missing side That will be in proportion to how much the other sides were enlarged.

Step-by-step explanation:

This is a step by step process to guide you to the solution.

1.) StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction is computer code for

$\frac{9}{6} = \frac{x}{16}$ That is the first step: set up the proportion as an equation to solve.

2.) Use Cross Product means to multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the fraction by the numerator of the second fraction. It is given: 9(16) = 6x

3. Simplify: means do the multiplication (or whatever makes it a "normal" number or value. 9 × 16 = 144 so that is the left side of the equation. The right side of the equation is what it was in the previous step: 6x.

Put them together in the equation: 144 = 6x

4. Divide: To solve for x, we divide both sides of the equation by 6.

$\frac{144}{6} = \frac{6x}{6}$ The 6/6 on the right side "cancels" to 1, leaving x.

On the left, 144÷6 = 24

Now you have an equation that gives the value of x

24 = x

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

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P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

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P Answered by PhD