1. Solve for x. Show your solution and justify every step.

Equation. Justification
4(x - 3) + 5 = 17. Given​

Answers

Answer 1

Given:

The equation is

[tex]4(x-3)+5=17[/tex]

To find:

The solution of given equation.

Solution:

We have,

[tex]4(x-3)+5=17[/tex]

Using distributive property, we get

[tex]4(x)+4(-3)+5=17[/tex]

[tex]4x-12+5=17[/tex]

[tex]4x-7=17[/tex]

Adding 7 on both sides, we get

[tex]4x-7+7=17+7[/tex]

[tex]4x=24[/tex]

Divide both sides by 4.

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.


Related Questions

A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.

What is the cost of a 3-mile ride?
$1
$10
$12
$14

Answers

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? Show your work.

Answers

Answer:

18.9271 liters

Step-by-step explanation:

i googled it

$60 is the original price and the sale price is $45 what is the percent discount

Answers

Answer:

your discount would be 25

Step-by-step explanation:

start, first subtract 45 from 60 to find the amount of money taken off from the discount:

60-45

=15

Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:

15/60=x/100

Now, cross multiply and solve for x:

1500=60x

x=25

Therefore, your discount would be 25%.

Answer:

25% !

Step-by-step explanation:

I looked it up and it makes sense!

HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED

Answers

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)

Bert and Ernie ran the 100-meter
dash. The difference of their times
was 1.5 s. If Bert won the race in a
time of 12.6 s, what was Ernie's
time?

Answers

Answer:

the answer is 14.1 because it says that ernie lost so it must be addition so it is 14.1

Step-by-step explanation:

14.1 s because 12.6+1.5=14.1

solve by elimination 3x+y=5 -2x-y=-10

Answers

Answer:

(-5, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

3x + y = 5

-2x - y = -10

Step 2: Solve for x

Elimination

Add 2 equations together:                    x = -5

Step 3: Solve for y

Define original equation:                    3x + y = 5Substitute in x:                                     3(-5) + y = 5Multiply:                                                -15 + y = 5Add 15 on both sides:                          y = 20

Step 4: Graph systems

Check the solution set and graph.

Answer:

x = -5

y = 20

Step-by-step explanation:

3x + y = 5 ⇒ y = 5 - 3x

-2x - y = -10 ⇒ 2x + y = 10

2x + (5 - 3x) = 10

5 - x = 10

x = -5

Substitution of x-value into "y = 5 - 3x":

y = 5  - 3(-5)

y = 5 + 15

y = 20

sole w - 12 = -3 using mental math

Answers

Answer:

-15

Step-by-step explanation:

Answer:

w=9

Step-by-step explanation:

w - 12 = -3

w-12+12=-3+12

w=9

Please help me my homework is due tomorrow use the screen shot

Answers

Answer:

1/5

Step-by-step explanation:

(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)

= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)

= 1/5^1 (anything to the first power is itself)

= 1/5

Write an equation of a line parrallel to y=-3x+5 that has a y-intercept of 8.

Answers

Answer:

y=-3x+8

Step-by-step explanation:

if u want them to be parallel make the slope the same

(in this case, -3x)

and the y-int at the end is +8

Write an equation in slope-intercept form of the line that passes through the points.

Answers

Answer:

y=-2x

Step-by-step explanation:

slope is -2 and the y intercept is 0 so if you plug these answers into slope intercept form (y=mx+b) then it comes to y=-2x

answer: y = 2x

explanation: slope intercept form is y = mx + b. the letter m represents the slope. the letter b represents the y intercept. the slope is 6/3 which simplifies to 2. the y intercept is 0 because that’s where the line crosses the y axis. when you plug it in you get y = 2x + 0 but you don’t have to write the 0 meaning it’s just y = 2x

What is the value of x?



Enter your answer in the box.

x =

Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 3 x plus 6. The length of side A B is labeled as 6 x minus 3. The length of side B C is labeled as 5 x.

Answers

Answer:

x=3

Step-by-step explanation:

took the quiz

Answer:

x=3

Step-by-step explanation:

5-5 Medians and Altitudes

Triangle EFG has an incenter and orthocenter of D. What kind of triangle is triangle EFG?

A. Right

В.

Isosceles

C. Scalene

D

Equilateral

Answers

Answer: D Equilateral

Step-by-step explanation: Center of a triangle is a point where lines intersect. There 4 most popular: centroid, circumcenter, orthocenter and incenter.

Altitude or Height of a triangle is a perpendicular line is draw from a vertex to the opposite side. There are 3 heights and they united (or intersect) at a point called Orthocenter

Incenter is a point where the three angle bisectors meet. Angle bisector is a line that divide the angles of the triangle in two equal angles.

Generally, each center is positioned at a different location on the triangle (in one example, the point is located outside the triangle).

However, there is a case in which incenter and orthocenter are coincidental. That case is for a equilateral triangle, a triangle whose angles and sides are the same.

Please Help

Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)

(There is no equal sign in the math problem)

Answers

Add like terms. Ignore parenthesis. And change the negative in front of the 2 into a positive. 4y minus y and 3 plus 2 makes... 3y+5

−3−(−5)

PLease Help me

Answers

Answer:

2

Step-by-step explanation:

Simplify the expression.

Answer:

2

Step-by-step explanation:

Two subtraction/negative signs make a positive so it's pretty much -3 + 5

So if you take 3 away from 5 you are left with 2

Mary rolls a fair dice and flips a fair coin.
What is the probability of obtaining an even number and a tail?

Answers

Answer:

1/4

Step-by-step explanation:

even number is 3/6 = 1/2

and the coin is 1/2

so 1/2 x 1/2 = 1/4

Answer:

1/4

Step-by-step explanation:

7.) Y 2 x 1
5
w ay
H
2-
1
+
7
+
2 3
1
- 1
1
-6
-5 -4 -3 2
4
-3
-S

Answers

Answer:

Step-by-step explanation:

The equation of line is y = ( 1/4 )x - 1 , where the slope is m = ( 1/4 ) and the graph is plotted

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( 1/4 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 1/4

The y-intercept of the line is b = -1

The graph of the line y = ( 1/4 )x - 1 is plotted

Hence , the equation of line is y = ( 1/4 )x - 1

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In a litter of five puppies, what is the probability of getting
two males and three females, assuming an even chance for
each gender?
1
(A) 32
(B) 0.031
1
(C) 16
5
(D) 16
(E) 4

Answers

Answer:

5/16

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Let's say r is the number of male puppies.

n = 5, r = 2, p = 0.5, and q = 0.5.

P = ₅C₂ (0.5)² (0.5)³

P = 5/16

The probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

Given that,

In a litter of five puppies.There is two males and three females, assuming an even chance for  each gender.

Based on the above information, the calculation is as follows:

Here we use binomial probability:

[tex]P = ^nC_r p^r q^{n-r}[/tex]

Here n denotes the number of trials,

r denotes the number of successes,

p denotes the probability of success,

and q denotes the probability of failure (1−p).

Let's us assume the r be the number of male puppies.

Now  

n = 5, r = 2, p = 0.5, and q = 0.5.

So, put the values

So,  

[tex]P = ^5C_2 (0.5)^2 (0.5)^3[/tex]

= [tex]5 \div 16[/tex]

Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

Learn more: brainly.com/question/24169758

Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. Two Brands of Juice Brand A Brand B 12 ounces 8 ounces $2.55 $1.45 She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?

Answers

Answer:

Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

the rate can be regarded as the change in one entity with respect to the other

From the question, we know brand A

$ 2.55 for 12 ounces of juice, to Know the cost of single once of the juice is

($ 2.55/12ounce)

=$ 0.2125

But the conversation rate for dollar to cent is (1 dollar = 100 cents)

Then to convert $ 0.2125 to cent, we can say

1 dollar = 100 cents

$ 0.2125 =X cent , if we cross multiply we have

= 21.25 cents

Which is approximately 21 cents.

From the question, Brand B cost $ 1.45 for 8 ounces of juice.

to Know the cost of single once of the juice is ( $ 1.45/8 ounce)

=$ 0.18125

We can convert to cent like we did above

1 dollar = 100 cents

$ 0.18125 =X cents, if we cross multiply, we have

= 18.125 cents

which is approximately: 18 cents

Therefore, the true statement about the unit rate are"Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce"

Jane worked for 10 hours on the weekend. She was paid $7.00 per hour. How much Medicare tax was withheld from her paycheck if the tax rate is 1.45%?

Answers

Answer:

The Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

Step-by-step explanation:

First, you have to determine the amount that Jane earned by multiplying the amount she earns per hour for the number of hours she worked:

$7*10=$70

Then, you need to calculate 1.45% of $70:

$70*1.45%=$1.015

According to this, the answer is that the Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

hi, I think the answer is c, but I need some help to be sure.
will give brainliest.

Answers

Answer:

Yes, it's c.

Step-by-step explanation:

3 to the 0th power is 3x3 zero times. It's zero. 0 to the 26th power is just 0x0 26 times. It's just 3x3 0 times multiplied with 0x0 26 times.

21x/2 = 2(x-1)+3

I need this quick if that’s ok

Answers

step-by-step answer:21x/2=2x+1

multiply both sides by 2

21x/2 · 2=2x·2+1·2

simplify

21x=4x+2

subtract 4x from both sides

21x- 4x=(4x)+2-(4x)

divide both sides by 17

17x=217   17

simplify

x=2/17

An employee took 5 vacation days bringing his new vacation day balance to 8 days.Which equation can be used to find, x, the number of vacation days the employee had before using 5 vacation days?

Answers

Answer:

[tex]x + 5 = 8[/tex]

Step-by-step explanation:

Given

[tex]Total = 8[/tex]

[tex]Additional\ Vacation = 5[/tex]

Required

Determine the equation to find initial days of vacation

This is represented with x.

To get a total of 8 days vacation, we must have the following expression.

[tex]Initial\ Days + Additional\ Days = Total[/tex]

Substitute values for initial days, additional days and total. So, we have

[tex]x + 5 = 8[/tex]

Hence, the required expression is: [tex]x + 5 = 8[/tex]

Write the equation in vertex form given the vertex (4, 7) and passing through the point (0, 10).

Answers

Answer:

              f(x) = ³/₁₆ (x - 4)² + 7  

Step-by-step explanation:

The vertex form of the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

so the equation of parabola with the vertex (4, 7) is

f(x) = a(x - 4)² + 7  

passes through the point (0, 10)  means if x=0 then f(x)=10

10 = a(0 - 4)² + 7  

10 -7 = a(-4)² + 7 -7

3 = 16a

a = ³/₁₆

Therefore the equation of parabla is:

                                  f(x) =  ³/₁₆ (x - 4)² + 7  

a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a black marble on the second?

Answers

Answer:

4/15

Step-by-step explanation:

Probability = 6/10 x 4/9 = 4/15

Topic: Probability

If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!

The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of drawing a white marble on the first draw, followed by a black marble on the second  = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)

6/10 x 4/9 = 24/90 = 4/15

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given the function g(x)=10x-2


what is g(7)?​

Answers

Answer:

g(7)=68

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

10(7)-2

70-2

68

9) through: (1, 2), slope = 7

Answers

Y = 7x + b
2 = 7 + b, b = -5
Y = 7x - 5


I need help answering this question

Answers

Answer:

A

Step-by-step explanation:

If you plug in 3 to both values of x, we would get both side lengths of 8. We know this is an equivalent triangle because the angles are all the same.

Answer:

Step-by-step explanation:

3x -1 = x+5

-2x = -6

x = 3

If an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v=v0−32t, where t is time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 39ft/s.

Answers

Answer:

96m/s

Step-by-step explanation:

Given the velocity, v, in ft/s of an object given by the formula v=v0−32t,

Given

V = 39ft/s

t = 2secs

Required.

Initial velocity v0

Substitute the given parameters into the formula

v=v0−32t,

32 = v0-32(2)

v0 = 32+64

v0 = 96m/s

Hence the initial velocity of the object is 96m/s

Pls answer fast thx

Answers

The correct answer is option A:)

Hazel has $50 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years?

Answers

Answer:

$66.55 dollars i took the same question

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