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Answer:

#1) 116= -4 + 5(-6 - 5a) : a = -6

#2) 8m + 4(4m -5) = -92 : m = -3

#3) -3(8 - 6x) = -96 : x = -4

#4) -126 = -3 (6+6x) : x = 6

#5) -8 -8(5a + 7)=-224 : a = 4

#6) -2(-5x -1) = 82 : x = 8

#7) -7(4x + 6) = -182​ :x = 5

Step-by-step explanation:

Remember: An equation must be equal at all times. This means if something is added to one side, it must also be added to the other. This holds true for addition, subtraction, division, and multiplication.

Problem 1:

116= -4 + 5(-6 - 5a)

move the -4 to the left side by adding 4 to both sides:

116 + 4 = -4 + 5(-6 - 5a) + 4

now 120 = 5(-6 - 5a)

divide both sides by 5:

120/5 = (5(-6 - 5a))/5

now 24 = -6 - 5a

move the -6 to the left side by adding 6 to both sides:

24 + 6 = -6 - 5a + 6

now 30 = - 5a

divide each side by -5:

(30)/-5 = (- 5a)/ -5

now -6 = a or a = -6

___________________________

Problem 2:

8m + 4(4m -5) = -92

begin by diving both sides by 4:

(8m + 4(4m -5))/4 = (-92)/4

now 2m + 4m - 5 = -23

move the -5 to the right side by adding 5 to both sides:

2m + 4m - 5 + 5 = -23 + 5

now 2m + 4m = -18

restate the left side and combine:

now 6m = -18

divide both sides by 6:

6m/6 = -18/6

so m = -3

___________________________

Problem 3:

-3(8 - 6x) = -96

divide both sides by - 3:

(-3(8 - 6x)) / -3 = -96/-3

now 8 - 6x = 32

move 8 to right side by subtracting 8 from both sides:

8 - 6x - 8 = 32 - 8

now -6x = 24

divide both sides by -6:

-6x/ -6 = 24/-6

x = -4

___________________________

Problem 4:

-126 = -3 (6+6x)

divide both sides by - 3:

-126/-3 = (-3 (6+6x)) /-3

now 42 = 6 + 6x

move 6 to left side by subtracting 6 from both sidesL

42 - 6 = 6 + 6x - 6

now 36 = 6x

divide both sides by 6:

36/6 = 6x/6

x = 6

___________________________

Problem 5:

-8 - 8(5a + 7)= -224

add 8 to both sides:

-8 - 8(5a + 7) + 8 = -224 + 8

now -8(5a + 7) = - 216

divide both sides by -8:

(- 8(5a + 7))/-8 = - 216 /-8

now 5a + 7 = 27

move 7 to right side by subtracting 7 from both sides:

5a + 7 - 7 = 27 - 7

now 5a = 20

divide both sides by 5:

5a/5 = 20/5

a = 4

___________________________

Problem 6:

-2(-5x -1) = 82

divide both sides by -2:

(-2(-5x -1))/-2 = 82/-2

now -5x -1 = -41

move -1 to right side by adding 1 to both sides:

-5x - 1 + 1= -41 + 1

now -5x = -40

divide both sides by -5:

-5x/-5 = -40/-5

x = 8

___________________________

Problem 7:

-7(4x + 6) = -182

divide both sides by -7:

(-7(4x + 6))/-7 = -182/-7

now 4x + 6 = 26

move 6 to right side by subtracting 6 from both sides:

4x + 6 - 6 = 26 - 6

now 4x = 20

divide both sides by 4:

4x/4 = 20/4

x = 5

Answer: 12

Step-by-step explanation:

4 hours plus 8 hours together is 12 hours.

Answer: Choice C

[tex]y = x^2+2, \ x \ge 0[/tex]

=============================================

Work Shown:

[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]

Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]

The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)

So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]

Answer:

I think that the side length is 25.8 and the angle length is 180 degrees

Step-by-step explanation:

I'm not 100% sure but all I did was add the side lengths to get 25.8 (8.6 + 8.6 + 8.6) and the angle length is 180 degrees (because all triangles has to equal to 180 degrees and 60 plus 60 plus 60 is equal to 180).

There you go. Just to remind you that I'm not 100% sure about this answer, but hope this helps.

Answer:

(2.0, 2.5)

g(2) = 2.5

Explanation:

We can use Euler's Method by creating a table with 5 columns. The headers will be labeled, from left to right:

We are given the starting point of (-1, -2). We can write this under the (x, y) column.

Check the given table for the dy/dx of the x-value we start with. We start with -1.0, so the chart says the change at this point is 2. Therefore, we can write 2 under the dy/dx column.

We are told the change in x is 1.5, so write 1.5 under Δx.

To calculate the change in y, multiply dy/dx times Δx.

Write 3.0 under the Δy column.

For the last column, take the previous columns and add them together for the new point. Use this new point to repeat the process until you find g(2).

I've attached an image of the chart that I drew to represent this process. Let me know if you have any questions!

Answer:

Yes, 40 is correct. The valuable r is basically just a blank line and you have to fill it in this problem.

Step-by-step explanation:

Answer:

I think its c

Step-by-step explanation:

I think that's right

Answer:

22.33 feet tall / 267.96 inches tall

Step-by-step explanation:

The statue is 36 inches wide. If Chase made his model of the statue 16 inches wide, he decreased it by 20 inches. Now change the inches into feet. 36 inches would be 3 feet, 16 inches would be 1.33 feet and 20 inches would be 1.67 feet. 24ft - 1.67 = 22.33ft. Now change the answers to inches.  22.33ft will be 267.96 inches tall.

The maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.

Given that the average distance from Earth to the Sun is 92.95 million miles, if the  actual distance varies from the average by up to 1.55 million miles, the then;

Maximum distance = average distance + variation

Minimum distance = average distance - variation

Maximum distance = 92.95 million + 1.55million

Maximum distance = 94.5million miles

Minimum distance = 92.95 million - 1.55million

Minimum distance = 91.4million miles

Hence the maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.

Learn more here: brainly.com/question/24788344

Answer:

$1.10

Step-by-step explanation:

What we know:

Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.

Quarters = 0.25 * 2

Dimes = 0.1 * 4

Nickels = 0.05 * 3

Pennies = 0.01 * 5

$0.50 + $0.40 + $0.15 + $0.05

$0.90 + $0.20 = $1.10 in total

Answer:

Step-by-step explanation:

Answer:

y=3x+14

Step-by-step explanation:

We can use point-slope intercept form to find the equation of the line.

Equation: y-y₁=m(x-x₁)

**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].

1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:

    y-5=[tex]\frac{1}{3}[/tex](x-(-3))

2. Simplify:

    y-5=[tex]\frac{1}{3}[/tex](x+3)

3. Distribute & Simplify

    y-5=[tex]\frac{1}{3}[/tex]x+1

3. Add 5 to both sides of the equation:

    y=[tex]\frac{1}{3}[/tex]+6

The equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.

For the given question;

The equation of the perpendicular line is given as;

y=-3x-1

Compare with the standard slope intercept form.

y = mx + c

m is the slope and c is the y intercept.

Say slope m1 = -3

Then, the relation for the slopes of two perpendicular lines are-

m1 x m2 = -1

m2 = -1/m1

m2 = -1/-3 = 1/3

This, line with the slope 1/3 passes through the points;

(x1, y1) = (-3, 5)

The equation of the line is obtained as;

y - y1 = m2(x - x1)

y - 5 = (1/3)(x + 5)

y = x/3 + 20/3

Thus, the equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.

To know more about the perpendicular lines, here

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Answer:

Step-by-step explanation:

4h/4=92/4

h=23.

thx.

Answer:

h = 23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4h = 92

Step 2: Solve for h

Step 3: Check

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

Here we see that 92 does indeed equal 92.

∴ h = 23 is the solution to the equation.

Answer:

.33

Step-by-step explanation:

r u boy or girl

Answer:

m= -1/3

good luck!

Answer: The third one

Hi again:)

Step-by-step explanation:

Answer

What are the answers?

Step-by-step explanation:

Answery

y =−4x+3

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y =m x+b

Where  m is the slope and b

is the y-intercept value.

Substituting the values from the problem gives:

Answer:

2r+3p=15.50

Step-by-step explanation:

Answer:

The second part are 1 and A

Step-by-step explanation:

Thank me later

Answer:

cost of Croissant =$ 1.5142

cost of Coffee=$0.7571

cost of fruit bowl = $3.229

Step-by-step explanation:

Step 1

A croissant, a cup of coffee, and a fruit bowl cost $5.50 also  a croissant costs twice as much as a cup of coffee

so let cost of a cup of coffee=C

cost of croissant=2C

cost of fruit bowl = F

Such that  

C+2C+F= 5.50

3C+F=5.50.......equation 1

Also, effective next week, the price of a croissant will go up 25% and the

price of coffee will go up 20%  Giving us that

new cost of croissant=(2C)(1+25/100)=2.5C

new price of coffee=(C)(1+20/100)=1.20C

new price of fruit bowl still remains unchanged =F

such that

2.5C +1.20C + F=6.03

3.7C+F=6.03----- equaton 2

Step 2

3C+F=5.50.......equation 1  

3.7C+F=6.03----- equaton 2

By elimination method, we subtract eqn 1 from eqn 2

3.7C - 3C + F -F=6.03-5.5

0.7 C=0.53

C= 0.53/0.7

C=0.7571

2C= 1.5142

3C+F=5.50

3 X 0.7571 + F= 5.50

2.27 + F= 5.50

F= 5.50-2.271= 3.229

cost of Croissant =$ 1.5142

cost of Coffee=$0.7571

cost of fruit bowl = $3.229

Answer:

A

Step-by-step explanation:

Answer:

A is the answer

Answer:

160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

Step-by-step explanation:

To determine how many perfect cube divisors 160,000 has;

We first need to highlight the factors of 160,000 as follows;

(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5

As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;

2 × 2 × 5 × 8 × 8 × 125.

Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

Answer: the original slope is 3/2

The perpendicular slope is -2/3

Slope is rise/run

Step-by-step explanation: For the original slope get  

Find coordinates where the graphed line crosses the grid lines at the intersections. Here, (0,-2) and (2,1) Count the number of squares vertically. That is the rise. It is the difference in y-values. It is the numerator of the fraction. Then count the squares horizontally to get the run. That is the denominator of the fraction.

It is possible to use the expression [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to calculate the slope.

[tex]\frac{1-(-2)}{2-0} = 3/2[/tex]

To find the perpendicular slope, reverse the sign and use the reciprocal of the original fraction.

The reciprocal of 3/2 is 2/3. The opposite sign is negative. -2/3

Answer:

2020 is not it

Step-by-step explanation:15

Answer:

Step-by-step explanation:

Answer:

67-2j

Step-by-step explanation:

thats all i got for you my friend

Answer:-1/6

Step-by-step explanation:

Answer:

slope is 6

Step-by-step explanation:

Answer:

Pretty sure it would be 3.5 or 3.6 somewhere in that zone :)

Answer: (-5,8)

Step-by-step explanation:

X: 1 + (-6) = -5

Y: 2+6 = 8