(07.03)

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step.

Answers

Answer 1

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5(2x - 8) + 15 = -15

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 15 on both sides:                   5(2x - 8) = -30[Division Property of Equality] Divide 5 on both sides:                               2x - 8 = -6[Addition Property of Equality] Add 8 on both sides:                                 2x = 2[Division Property of Equality] Divide 2 on both sides:                                x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                               5(2(1) - 8) + 15 = -15(Parenthesis) Multiply:                                                                                   5(2 - 8) + 15 = -15(Parenthesis) Subtract:                                                                                 5(-6) + 15 = -15Multiply:                                                                                                         -30 + 15 = -15Add:                                                                                                               -15 = -15

Here we see that -15 does indeed equal -15.

∴ x = 1 is the solution to the equation.

Answer 2

Answer: x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−8)+15=−15

Step 1: Simplify both sides of the equation.

5(2x−8)+15=−15

(5)(2x)+(5)(−8)+15=−15(Distribute)

10x+−40+15=−15

(10x)+(−40+15)=−15(Combine Like Terms)

10x+−25=−15

10x−25=−15

Step 2: Add 25 to both sides.

10x−25+25=−15+25

10x=10

Step 3: Divide both sides by 10.

10x/10=10/10

x=1


Related Questions

The point M is the midpoint of LN where M(-12, 6) and N (-2,-5).
What are the coordinates of point L?

Answers

Answer:

The coordinates of point L are:

(x₁, y₁) = (-22, 17)

Step-by-step explanation:

We know that the Midpoint Formula is given by:

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

In our case:

M(-12, 6) is the midpoint. Thus,

(x, y)  = (-12, 6)

N(-2, -5) is the second point, Thus,

(x₂, y₂) = (-2,-5)

We have to determine the coordinates of point L.

Let (x₁, y₁)  be the coordinates of point L.

substituting (x, y)  = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula

[tex]\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)[/tex]

Determining the x₁ coordinate of the point L

[tex]\frac{-2+x_1}{2}=-12[/tex]

[tex]-2+x_1=-24[/tex]

Add 2 to both sides

[tex]-2+x_1+2=-24+2[/tex]

Simplify

[tex]x_1=-22[/tex]

Determining the y₁ coordinate of the point L

[tex]\frac{-5+y_1}{2}=6[/tex]

[tex]-5+y_1=12[/tex]

Add 5 to both sides

[tex]-5+y_1+5=12+5[/tex]

Simplify

[tex]y_1=17\:\:\:[/tex]

Therefore, the coordinates of point L are:

(x₁, y₁) = (-22, 17)

Answer:

the person up top is correct

In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?

Answers

Answer:

37/12

Step-by-step explanation:

sec A hyp/adj

For angle K, the adjacent leg is LK. JK is the hypotenuse.

sec K = hyp/adj

sec K = 37/12

#3 (1 pt) A certain baseball card is very rare and is currently worth $2000. If the price of this card increases by 3% a year,
write an exponential equation for how much the card will be worth x years from now.

Answers

Answer:

$2000x(1.03)ˣ

Step-by-step explanation:

This is known as compound interest.

100% + 3% = 103%, so we put this into a decimal: 1.03

We now put this into the equation:

$2000x(1.03)ˣ

If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes

$2000x(1.03)³

You can then use a calculator to work out the answer.

help me please. Can somebody please help me.

Answers

Answer:

oh my :o

Ok so just mutiply

Step-by-step explanation:

Please help me to complete the impact on equity

Please answer

Answers

Answer:

Equity is same as equility it is for making students fools.

Step-by-step explanation:

Equity=Equality

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X

Answers

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

Corresponding sides are proportional.

  full length/right segment = 36/20 = (x+5+30)/30

Multiplying by 30 gives ...

  54 = x +35

  19 = x . . . . . . . subtract 35

What is the value of the expression 7x (5-3) + (100 ÷ 5)

Answers

Answer:

Step-by-step explanation:

HELP PLS DUE TOMORROW WILL GIVE BRAINLIEST

what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls​

Answers

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR. She placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the IQR of the population is 161616. She then took a random sample of 555 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 505050 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 555 balls. 00551010151520202525Sample IQR Based on these results, does sample IQR appear to be a biased or unbiased estimator of population IQR

Answers

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: Checked by Khan Academy

Sample IQR appear to be a biased estimator of population IQR.

What is a biased estimator?

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR.

She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The IQR of the population is 16.

She then took a random sample of 5 balls and calculated the IQR of the sample.

She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample IQR from a sample of 5 balls.

Sample range appears to be a biased estimator since it consistently underestimated the population range.

The sample ranges appear to be centered below 32.

Therefore, the sample IQR is a biased estimator.

To learn more about the biased estimator;

brainly.com/question/26415101

#SPJ5

Which of the following is equivalent to 2 x (4 x 3)? *

2 + (4 + 3)
2 x (6 x 4)
(2 x 4) x 3
8

Answers

2×(4×3)?24

4×3=12

12×2=24

(2×4)×3=24

convert 4307 rads / 1 second into inches/sec

Answers

Answer:1 inch per minute in/min = 0.017 inches per second in/sec

Step-by-step explanation:

B. What is the largest whole number to the left of 3.52?​

Answers

Answer:

3

Step-by-step explanation:

<---------1-----------2---------3----3.52----4----->

HELP ASAAPPP I WILL GIVE BRAINIST IF YOUR CORRECT TELL ME THE ANSWER FOR ALL OF THEM

Answers

Answer:

It takes Garret 15 mins to remove one ft of hem.

(cause 4" for 5 mins x 3 = 12" for 15 mins)

He should multiply the number of minutes by 5 to determine the number of minutes to remove 5 ft of hem.

(15 x 5 = 75)

It will take 75 mins to remove 5 ft of hem.

Step-by-step explanation:

Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high

Answers

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

answer and get brainliest

Answers

Answer:

50

Step-by-step explanation:

4 x 1=4

2.5 x 5=12.5

12.5 x 4=50

So 50 is the answer can i have brainliest now please

i need help due tonight

Answers

Answer:

s=6

Step-by-step explanation:

3(s+4)=30

multiply 3×s and 3×4

3s+12=30

-12=-12

3s=18

divide 18 and 3s

s=6

Answer:

s=6

Step-by-step explanation:

What is the constant and variable of 6a in algebra

Answers

Answer:

Constant is 6 and the variable is a

Find the product.

120 ×(0.002). It is 6th grade work don’t worry about where it says college

Answers

Answer:

0.24

Step-by-step explanation:

120 x 0.002 = 0.24

The correct answer is 0.24.

To find the product of 120 ×(0.002).

The zeroes are multiplied by the power of 10 which is 1/10 in particular.

For example.

The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that

1.  N x 0.1 = N/0.1 < N

2.  1 x 0.5 = 0.5

3.  2 x 0.1 = 0.2

4.  100 x 0.55 = 55  

120 ×(0.002) = 0.24.

Therefore, the 120 × 0.002 = 0.24

Learn more about Multiplication here:

https://brainly.com/question/643060

#SPJ6

PLEASE HELP!
Find values for p and q so that the equation has infinitely many solutions.

-7x + p = qx + 1

p =

q =

Answers

Step-by-step explanation:

a1/a2=b1/b2=c1/c2

-7=p=qx+1

p= -7 ,qx+1= -7

p= -7 ,q= -6/x

help hlp hlp hlp pls pls pls pls

Answers

Answer:

10m

Step-by-step explanation:

Hope this helps! Please give me brainliest and tysm!

Answer:

10 m

Step-by-step explanation:

Area of the triangle

=40 m²

height (h) = 8 m

Base (b) = ?

We know

Area of triangle = 1/2 * b * h

40 = 1/2 * b * 8

40 = 4b

b = 10 m

Hope it will help :)

Steve can clean 9 cars in 3 3/4 hours how many cars per hour?

Answers

Answer:

2.4

Step-by-step explanation:

Simplify the expression.
3.59 + 5 - 2.5

Answers

Answer:

6.09

Step-by-step explanation:

3.59 + 5 - 2.5 = 6.09

hope this helps...

Factor the expression completely.
1882 - 32

Answers

Answer:

2 (941 - 16)

Step-by-step explanation:

You need to first find a number that is a factor of 1882 and -32

In this case it would be 2

So you factor out 2

= 2 (941 - 16)

Grace wants to participate in a dance recital. She cannot miss more than 15% of the 40 classes before the recital. What is the minimum number of classes Grace must go to in order to be in this recital?
(BUT DON'T SAY 6 I PUT IT AND IT WAS WRONG!)

Answers

Answer:

She has to attend 6 or more classes

Step-by-step explanation:

PLEASE HELP!!!
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

Answers

Answer:

$7.29 per hour  at her new job.

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do  801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)

What would the radius be?

Answers

Answer:

6m

Step-by-step explanation:

Paul is 32 years old In ten years time Paul's age will be the sum of his 3 sons What do his sons ages add up to now?

Answers

Answer:

39

Step-by-step explanation:

Hope it helps!

A plumber charges $40 to come to your house and $25 for each hour of labor. If the final bill came to $165, how many hours did the plumber work?

Answers

Answer:5 hours

is the amount he worked

The answer is 5 hours.

Step-by-step:

The equation would be

165=25x+40

Subtract 40 from both sides

125=25x

Then, divide both sides by 25 to get

5=x

Answer: 5 hours.

Solve the formula
x − y = −8 for y.

Answers

Answer:

[tex]y = x + 8[/tex]

Step-by-step explanation:

[tex]x - y = - 8[/tex]

[tex]x + 8 = y[/tex]

helppppp!!!!!!!!!!!plz

Answers

Answer:

the answer is point A it's the first one point A

Answer: One of your answers are right. (B and A)

Step-by-step explanation: The opposite of positive 2 will be negative 2, and -2 is at Point A.

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