Solve the following equation.

|x − 12| + 6 = 56

A.
x = 62 or x = -38
B.
x = 74 or x = -74
C.
x = 50 or x = -50
D.
x = 38 or x = -62

Hi...

Co's 15=x/33...

Cos 15=0.96...

X=31.68

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.

Answer: x=4

Step-by-step explanation: Add 3 to both sides,  Divide both sides by 22

Answer:

x=4

Step-by-step explanation:

2x-3=5

2x-3+3=5+3

2x=8

2x/2=8/2

x=4

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Answer:

Step-by-step explanation:

Gabriela's mass :  Pierre's mass = 3 : 8

Gabriela's mass =  3x

Pierre's mass = 8x

Total mass= (1/4) of  total height

3x + 8x = [tex]\frac{1}{4}(110 + 154)[/tex]

      11x = [tex]\frac{1}{4}*264[/tex]

      11x = 66

         x = 66/11

        x = 6

Gabriela's mass =  3x = 3*6 = 18 Kg

Pierre's mass = 8x = 8*6  = 48 kg

Answer:

The stock lost $14 in 7 days

Step-by-step explanation: I know how to multiply.

The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

The price of a stock by decreased $2 each day for seven consecutive days

The price of a stock decreased by $2 per day for seven consecutive days.

Each day the cost is decreased by $2

Therefore, in 7 days the total reduction in cost is: 7×2= $ 14

So, the total change in the value of the stock is:  -$ 14.

The total change in the value of the stock over the seven-day period is:

It decreased by $ 14

Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

7/9 = 21/27 hope this helps

Step-by-step explanation:

Answer:

The answer is point Q

Step-by-step explanation:

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Answer:

in the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

12x42=504

504 cents earned every day when 42 papers are delivered

For a week= 504x7

3528cents

Answer:

3,528 cents = 35 dollars and 28 cents

Step-by-step explanation:

She earns 12 cents for each paper delivered.

=> She earns: 12 x 42 = 504 cents a day

=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.

That is probably the answer you're expecting.

But you shouldn't.

One customer might need more than 1 paper a day, so there's no clear answer to your question.

Answer:

beesechurger

Step-by-step explanation:

Answer:

[tex]x = 24.8394847[/tex]

[tex]x = 13.69707998[/tex]

[tex]x = 36.24913792[/tex]

[tex]x = 10.72380529[/tex]

Step-by-step explanation:

[tex]1.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {16}^{2} + {19}^{2} } [/tex]

[tex]c = \sqrt{256 + 361} [/tex]

[tex]c = \sqrt{617} [/tex]

[tex]c = 24.8394847[/tex]

[tex]x = 24.8394847[/tex]

[tex]x \approx24.8[/tex]

[tex]2.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {16.5}^{2} - {9.2}^{2} } [/tex]

[tex]a = \sqrt{272.25 - 84.64} [/tex]

[tex]a = \sqrt{187.61} [/tex]

[tex]a = 13.69707998[/tex]

[tex]x = 13.69707998[/tex]

[tex]x \approx13.7[/tex]

[tex]3.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {30 \div 2}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{ {15}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{225 + 1089} [/tex]

[tex]c = \sqrt{1314} [/tex]

[tex]c = 36.24913792[/tex]

[tex]x = 36.24913792[/tex]

[tex]x \approx36.2[/tex]

[tex]4.[/tex]

[tex] {a}^{2} = {c}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {25}^{2} - {16}^{2} } [/tex]

[tex]a = \sqrt{625 - 256} [/tex]

[tex]a = \sqrt{369} [/tex]

[tex]a = 19.20937271[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {22}^{2} - { \sqrt{369} }^{2} } [/tex]

[tex]a = \sqrt{484 - 369} [/tex]

[tex]a = \sqrt{115} [/tex]

[tex]a = 10.72380529[/tex]

[tex]x = 10.72380529[/tex]

[tex]x \approx10.7[/tex]

Step-by-step explanation:

parallel

8g - 3 = 25

8g = 25 + 3

8g = 28

g = 28/8

g = 14/4

f + 30 + 72 = 180 (straight angle = 180°)

f = 180 - 30 - 72

= 78

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

Answer:

Kate did 15/8 part more than that of John.

Step-by-step explanation:

Given that,

John did 3 3/4 of his homework while Kate did 1 7/8 of her homework.

We need to find how much more of their  homework did Kate do than John. It can be calculated as follows :

3 3/4 = 15/4

and

1 7/8 = 15/8

So,

Difference,

[tex]d=\dfrac{15}{4}-\dfrac{15}{8}\\\\=\dfrac{15}{8}[/tex]

So, the required answer is 15/8.

Answer:

80:280

Step-by-step explanation:

Answer: .35x

Step-by-step explanation:

take the 35% and turn it into a decimal (.35)

Since the item is "X" dollars, multiply the x(.35)

This gives you .35x

Answer:

If there is a 35% discount, first convert the percent to a decimal

35% = 0.35

Then multiply the discount rate by the price of the item

x = item price

0.20x = discounted price

Answer: See explanation

Step-by-step explanation:

4x + 20x - 8 = -2 (-12x + 8)

Step 1

Distribute -2 to (-12x + 8)

4x + 20x - 8 = 24x - 16

Step 2

Combine 4x and 20x together

24x - 8 = 24x - 16

Step 3

Add 8 to both sides

24x = 24x - 8

Step 4

Subtract 24x from both sides

0 ≠ -8

That is incorrect so it's not a solution

Hope I helped!

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

Analysis of the elements in the set B

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Answer:

a) 4:6= 2:3 or 2/3 or .666666

b) 10:4= 5:2 or 5/2 or 2.5

Step-by-step explanation: