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2 years ago

Is 2:7=4:14 a true proportion

Mathematics

2 answers:

Harlamova29_29 [7]2 years ago

7 0

Yes because when you divide 4 by 2 you get 2 and when you divide 14 by 2 you get 7

weeeeeb [17]2 years ago

7 0

Yes,

You multiply 2 by 2 which you get 4, and then you multiply 7 by 2 which u get 14 which gives 4:14

Another way is by simplifying (i belive that is how you spell it) you divide 4 and 14 by 2 and you get 2:7

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Solve this absolute value inequality. <br><br> {14-2x]<8

prohojiy [21]

$|14-2x|6\ \wedge\ 2x3\ \wedge\ x$

6 0

3 years ago

Round 3184.5641 to the nearest hundred

Ede4ka [16]

Find the hundreds place. The digit in it is 1. Now look at the digit directly to the right of it. The digit is 8. If the digit immediately before the digit you want to round is greater than or equal to 5, you round up. 8 > 5, so round up.
The rounded value is 3200.
Hope that helped you.

3 0

2 years ago

Read 2 more answers

The frequency table was made using a box containing slips of paper. Each slip of paper was numbered 0, 1, 2, 3, or 4.

inna [77]

In order to make a frequency plot first we need to find the proportion of each outcome.

Total number of results = 15+20+5+5+5 = 50

Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3

Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4

Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1

Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1

Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1

Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.

4 0

3 years ago

Read 2 more answers

How is 9/5 expressed as the sum of a whole number and fraction

MAXImum [283]

To do this, divide 9 by 5. it is one, with a remainder of 4. so the 4 goes over 5 as a fraction. the answer is then 1 4/5

3 0

2 years ago