Ask question

Ask question

All categories

3 years ago

11

The larger of two numbers is 7 times the smaller number. 3 times the larger number is 7 more than 4 times the smaller number. Fi

nd the numbers. Please answer!!!!!!!!!! I BEG!!!!!

1 answer:

zhenek [66]3 years ago

5 0

So the larger number is x, and the smaller number is y
7y=x
3x=7+4y

(So plug in the 7y=x information into the second equation)

3(7y)=7+4y
21y=7+4y
17y=7
y=7/17

You might be interested in

Which property is this an example of?

Diano4ka-milaya [45]

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

<u>Inverse Property of Multiplication</u>

The <em>product </em>of a <u>number</u> and its <u>reciprocal</u> is always 1.

The <em>reciprocal</em> of a number is <u>1 divided by the number</u>.

Therefore, the reciprocal of a rational number is its inverse (swap the numerator and denominator).

For example:

$\textsf{The reciprocal of 6 is}\:\:\sf \dfrac{1}{6}$

$\implies \sf 6 \times \dfrac{1}{6}=\dfrac{6 \times 1}{6}=\dfrac{\diagup\!\!\!\!6 \times 1}{\diagup\!\!\!\!6}=1$

$\sf \textsf{The reciprocal of }\:\dfrac{3}{4} \sf \:\:is\:\:\sf \dfrac{4}{3}$

$\sf \implies \dfrac{3}{4} \times \dfrac{4}{3}=\dfrac{3 \times 4}{4 \times 3}=\dfrac{12}{12}=1$

3 0

1 year ago

Read 2 more answers

inn [45]

2*(-11) if its multiple choice but im not sure

6 0

3 years ago

PLEASE HELP ASAP AND THANKS Find x

baherus [9]

Answer:

The value of x is 2.

Step-by-step explanation:

First, you have to make the left side into 1 fraction by making the denorminator the same :

$\frac{x}{x - 2} + \frac{1}{5}$

$= \frac{5x}{5(x - 2)} + \frac{x - 2}{5(x - 2)}$

$= \frac{5x + x - 2}{5(x - 2)}$

$= \frac{6x - 2}{5(x - 2)}$

Then you have to do cross multiplication :

$\frac{6x - 2}{5(x - 2)} = \frac{2}{x - 2}$

$(6x - 2)(x - 2) = 5(2)(x - 2)$

$6 {x}^{2} - 12x - 2x + 4 = 10x - 20$

$6 {x}^{2} - 14x + 4 = 10x - 20$

$6 {x}^{2} - 14x + 4 - 10x + 20 = 0$

$6 {x}^{2} - 24x + 24 = 0$

$6( {x}^{2} - 4x + 4) = 0$

${x}^{2} - 4x + 4 = 0$

${x}^{2} - 2x - 2x + 4 = 0$

$x(x - 2) - 2(x - 2) = 0$

$(x - 2)(x - 2) = 0$

$x = 2$

5 0

3 years ago

The length of the box is 2 1/2 m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4 m3?

skelet666 [1.2K]

Answer:

$3\frac{3}{16}$ meter

Step-by-step explanation:

We have to write first what is known from the information.

Let's say, length is L, width is W, and height is H

1. The length of the box is 2 1/2 m = 2,5 m = 5/2 m, it is 1 9/16 = 25/16 times it's width (L). So we have the equation :

L ≡ $\frac{5}{2} = \frac{25}{16} W$

Then we find the W. From the fraction above, we found W equals to $\frac{8}{5} = 1,6$ meter

2. What is the height of the box, if its volume is 12 3/4 m^3 = 51/4 m^3

Formula of a volume is :

The area wide times the height

In this problem, the equation is :

L × W × H = Volume

Insert the numbers,

$\frac{5}{2}$ × $\frac{8}{5}$ × H = $\frac{51}{4}$

From the fraction above, we can find that H equals to

$3\frac{3}{16}$ meter

3 0

3 years ago

R(-5, 5) S(1, 7) T(2, 4) U(-4, 2)

natali 33 [55]

Would you like to solve this problem or give you the description of it

4 0

3 years ago