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What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Ainat [17]

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX

4 0

2 years ago

Autumn is working two summer jobs making $16 per hour tutoring and making $12 per hour landscaping.In a giving week she can work

Darya [45]

Answer:

{13,14}

Step-by-step explanation:

Let

x ----> number of hours per week of tutoring

y ----> number of hours per week of landscaping

we know that

She can work no more than 17 hours

so

$x+y\leq 17$ -----> inequality A

She must earn at lest $240

The term " at least" means, "greater than or equal to"

$16x+12y\geq 240$ ----> inequality B

If Autumn worked 3 hours landscaping

then

$y=3\ hours$

substitute in the inequality A and in the inequality B

Inequality A

$x+3\leq 17\\x \leq 17-3\\x\leq 14\ hours$

Inequality B

$16x+12(3)\geq 240\\16x\geq 240-36\\x\geq 12.75\ hours$

The solution of the system is the interval {12.75,14]

All possible values for the number of whole hours tutoring that she must work to meet her requirements are

{13,14}

8 0

2 years ago

Sarah will buy bracelets and necklaces in order to sell them in her schools fund raising activity. The bracelets cost $2 and the

Alborosie

Answer:

The answer will be:

b ≥ 10

Step-by-step explanation:

The bracelets cost $2 and the earrings cost $3.

She needs to make at least $60.

She will need to sell more than 10 bracelets.

b = bracelets

e = earrings

2b+3e ≥ 60

6 0

2 years ago

It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1

3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts $=1114$ $\text{miles}$