Ask question

Ask question

All categories

3 years ago

7

Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly all

owance if she ended with seventeen dollars?

2 answers:

Nata [24]3 years ago

4 0

Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.

The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

0.5x+7=18

Where, 18-7=11

0.5x=11

11/.5 = x

x = $22

Thus, Mary has a weekly allowance of 22 dollars.

Step-by-step explanation:

Schach [20]3 years ago

4 0

The answer is 20 because you have to subtract 7 from 17 because you work backwards. Then you are left with 10, which is half of 20. So, her weekly allowance is $20

You might be interested in

X/8 =.42 solve for X

uysha [10]

Answer:

x = 3.36

Step-by-step explanation:

$\frac{x}{8} = \frac{.42}{1}$ , if we have a fraction = fraction then we can cross multiply to have a multiplication problem

x · 1 = 8 · 0.42, multiply

x = 3.36

7 0

2 years ago

Find the distance between the points (2,3) (-3,-6)

Valentin [98]

Answer:

10.3

Step-by-step explanation:

As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).

We apply the Pythagorean Theorem here:

d^2 = x^2 + y^2, or

d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106

Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.

10.3.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

saul85 [17]

$\large\underline{\sf{Solution-}}$

<u>Let us assume that:</u>

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

<u>Therefore:</u>

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

<u>But x cannot be negative. </u>

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality

V125BC [204]

Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
$4x + 8 \geqslant 32$
$4x \geqslant 24$
$x \geqslant 6$
Sally was paid at least 6 dollars /hour.

6 0

3 years ago

Indica si el siguiente número es primo o compuesto<br> 84

Irina-Kira [14]

Answer:

84 es un número compuesto. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14 o 7 x 12. Factores de 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28 , 42, 84.

Step-by-step explanation:

6 0

2 years ago