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3 years ago

Solve the equation using the distributive property and properties of equality.

Mathematics

2 answers:

user100 [1]3 years ago

8 0

Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

So we multiply -5 times a and 3 so we get:

-5a-15=-55

+15 +15

____________-

-5a=-40

÷-5 ÷-5

____________

a=8

Hope this helped :D

Zigmanuir [339]3 years ago

5 0

The answer is number 1. you’re welcome:) because -5 times (-14 +3) is 55. so therefore the answer is -14

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I have 100 points<br> i need some help!!

allsm [11]

Answer:

Option D: $\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}$

Step-by-step explanation:

GIven the following inequality statement:

$\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}$

Start by eliminating the fraction on the right-hand side.

Multiply both sides of the inequality statement by 2:

$\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}$

2(7x + 6) ≥ -x

Next, distribute 2 into the terms inside the parenthesis:

14x + 12 ≥ -x

Subtract 12 from both sides:

14x + 12 - 12 ≥ -x - 12

14x ≥ -x - 12

Add x to both sides:

14x + x ≥ -x + x - 12

15x ≥ - 12

Divide both sides by 15 to isolate x:

$\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}$

$\displaystyle\mathsf{x\geq -\frac{4}{5}}$ or $\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}$

Therefore, the correct answer is <u>Option D</u>: $\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}$

8 0

2 years ago

given jl with J(-9, -5) and L(5,16), if K lies on JL and partitions it such that the ratio of JK to KL is 2:5, find the coordina

grigory [225]

Answer:

The coordinates of K is (-5,1)

Step-by-step explanation:

Given

$J = (-9,-5)$

$L = (5,16)$

$JK:KL = 2:5$

Required

Determine K

Using Line ratio formula;

We have:

$K(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

$(x_1,y_1) = (-9,-5)$

$(x_2,y_2) = (5,16)$

$m:n = 2:5$

So; we have:

$K(x,y) = (\frac{2 * 5 + 5 * -9}{2+5},\frac{2 * 16 + 5 * -5}{2+5})$

$K(x,y) = (\frac{10 -45}{7},\frac{32 -25}{7})$

$K(x,y) = (\frac{-35}{7},\frac{7}{7})$

$K(x,y) = (-5,1)$

4 0

3 years ago

A firefighter is standing on the middlemost rung of a ladder, extinguishing a fire. In order to get a better position, the firef

wlad13 [49]

Answer:

29 rungs

Step-by-step explanation:

In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.

Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.

From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4

Now, he climbed 18 rungs again, making x -4+18 = x + 14

This is equal to the topmost rung i.e the topmost rung is at a position x + 14

This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself

14+ 14 + 1 = 29 rungs

8 0

3 years ago

PLS HELP FAST!!! NO LINKS

emmasim [6.3K]

The top answer is correct.

3 0

2 years ago

Read 2 more answers

at a school number of boys : number of girls =9:7. There are 116 more boys than girls. Work out the total number of students at

Amanda [17]

X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406

x=y+116
x=406+116=522

answer: At the school there are 522 boys and 406 girls.

to chek.
522/406=1.2857...
9/7=1.2857...

The number of boys (522) is equal to 406+116=522.

5 0

4 years ago

Read 2 more answers