7. Choose an appropriate variable for each situation. Then write and solve an
equation.
a. If I doubled the money in my savings account, I would have $150.62.

b. three times the hourly wage plus $7.65 in tips equals $27.90

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

a. Let the money in m savings account be represented by x.

If I doubled the money in my savings account, I would have $150.62. This means that:

(2 × x) = $150.62

2x = $150.62

Divide both side by x

2x/2 = $150.62/2

x = $75.31

The amount in the savings account is $75.31

b. Let the hourly wage be represented by x.

Three times the hourly wage plus $7.65 in tips equals $27.90. This will be:

(3 × x) + 7.65 = 27.90

3x + 7.65 = 27.90

3x = 27.90 - 7.65

3x = 20.25

x = 20.25/3

x = 6.75

The hourly wage is $6.75


Related Questions

Four divided by what number equals 12?

Answers

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

in a sequence 25,22,19,16 what's the formula for the nth term​

Answers

Answer:

x minus 3

is the formula to this question

Answer:

Step-by-step explanation:

Nth term of the given A.P is

here a=25 and d=-3

so Tn=a+(n-1) d

=25+(n-1)-3

=25-3n+3

=28-3n

THIS IS THE Nth TERM

To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)

Answers

Answer:

negative chargedhhdhd

Water flows through a pipe at a rate of 89 quarts per hour. Express this rate of flow
in cubic meters per month. Round your answer to the nearest tenth.

Answers

Answer:

60.6 on delta math

Step-by-step explanation:

The rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

What is the rate of flow?

The rate of the flow of the fluid is defined as the volume of the fluid through a confined space or cross-section in a unit of time. The unit of the rate of flow is gallons per minute or cubic meter per minute.

Given that water flows through a pipe at a rate of 89 quarts per hour the value of the rate of flow in cubic meters per month will be calculated as below:-

1 quartz = ( 1 / 1056.688) cubic meters

1 quartz = ( 89 / 1056.688)

1 quartz = 0.08 cubic meters

1  quartz per hour = 0.08 / ( 24 x 30) cubic meters per month

1  quartz per hour =1.12 x 10⁻⁴ cubic meters per month

Therefore, the rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

To know more about the rate of flow follow

brainly.com/question/27880305

#SPJ2

Simplify the following.


Answers

Answer:

[tex]m^{4}n^{5}[/tex]

Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )

When dividing variables with exponents, you subtract the exponents that has the same variables, like this:

[tex]m^{16-12}n^{10-5}[/tex]

Simplifying this becomes:

[tex]m^{4}n^{5}[/tex]

The dimensions of a wooden bench shaped like a rectangular prism are 6 feet by 3.5 feet by 2.5 feet. What is the
volume of the bench in cubic feet?
14.75 Ft
® 52.5 ft
© 12 ft?
D 36 ft?

Answers

d it’s is. 12 and 52 i really think so

Answer:

12

Step-by-step explanation:

math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.

Answers

Answer:

Step-by-step explanation:

Ok

Answer:

what

Step-by-step explanation:

:(

x^2 + 9x + 14 I need help !

Answers

Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

Can someone plz help me the info is in the photo I'm begging you and I need the equation to show my work.

Answers

Answer:

$65.02

Step-by-step explanation:

15% of 85 = 12.75

sale price = 85-12.75 = 72.25

10% of 72.25 = 7.225 = 7.23

final cost = 72.25 - 7.23 = 65.02

4(6-5x)^2+11=20

quadratic equations

Answers

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

If u want me to give you the step to step explanation let me know

The function f(x) = {}]" is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
0 (-3.375)
o(-22
O (3)
10 (2-23

Answers

Answer:

I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.

I also do exams and quizzes if your interested


Find the value of x.
48°
(7x + 13)

Answers

Answer:

336x + 624

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

i have no idea why there is a degree symbol by it probably an angle

anyway

7x+13=48

subtract 13 from both sides

7x+13-13=48-48 -> 7x=35

divide

7x/35

x=5

uwu

help plz i’ll give extra points

Answers

Answer:

Plot a point at the y-intercept.

Step-by-step explanation:

You start by plotting the y-intercept because you'll already have the value when you substitute x as 0 in the expression.

y = 0.5(0) -4

y = -4

the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t seconds A. 8=t/32 B. S=32t C. S=32-t D. s=t+32​

Answers

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

5/6x8/9 as an improper fraction

Answers

Answer:

[tex] \frac{20}{27} [/tex]

Step-by-step explanation:

this can not be converted into a improper fraction

consider downloading photomath

If a circle is 9 pi cm what is the radius of the circle

Answers

Answer:

         4.5 cm

Step-by-step explanation:

L = 2×π×r

9π cm = 2πr

9 cm = 2r

r = 4.5 cm

2. If 1/2 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
A) 8 2/3 gallons
B) 8 1/3 gallons
C) 3 gallons
D) 2 gallons

Please help !

Answers

Closest answer would be

C.) 3 gallons

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Please help,
7p + 2 = 5(p-4)

Answers

Answer:

-11

Step-by-step explanation:

7p +2=5p-20

7p-5p= -2-20

2p= -22

p=-11

The answer is p=-11

The steps are in the attached photo

I NEED HELP ASAP!!!!!
Solve the equation and show your work.

Here's the problem: 4x + 3x - 3(4x - 8) = 14

Step 1.) Eliminate parentheses by distributing the -3.

Step 2.) Collect any like terms on the left side of the equation.

Step 3.) Subtract 24 from both sides of the equation.

Step 4.) Divide both sides of the equation by -5.

Answers

Answer:

Step-by-step explanation:

x=2

This is how to solve it

Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

Answers

Answer:

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:

Which is more, 23 ounces or 1 pound?

Answers

23 ounces is more because 1 pound is only 16 ounces
23 ounces cuz 16 ounces is a pound

-8(y + 5) = -8y - 40 TRUE or FALSE

Answers

Answer: true because that’s what you get when you use the distributive property

Step-by-step explanation:

16. During a discount salle, an online video game store sells all puzzle games for $6.00 and all action gernes for
$8.00. Bella plans to spend exactly $19.00 on games from this store.
Which equation represents Bella's purchasing options, where is the number of puzzle games bought and yis
the number of action games bought?
A. (6 + 8) = 404
B. 40+ 62 = 8y
C. 40 +8y=63
D. 6x + 8y = 40

Answers

I think it’s D or a but mostly I would pick d

2. x2 - 11x-26= 0
The number and type of roots

Answers

the answer is 12

because it is

Can’t figure out M<7/12

The options are
A.1
B.-1
C.-9
D.-5

Answers

M < 7 / 12

(1) < 7 / 12

(1) < 0.583333333 (false statement)

(-1) < 7 / 12

(-1) < 0.583333333 (true statement)

(-9) < 7 / 12

(-9) < 0.583333333 (true statement)

(-5) < 7 / 12

(-5) < 0.583333333 (true statement)

B C D maybe?

The equation of line L is 2x+y=3

Line M is parallel to line L and passes through
(1,−6)

Work out the equation of line M.
Give your answer in the form
y=ax+b

(3 marks)

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.

The solution to a system of linear equations is (0,4) one of linear equations in the system is y=8x+4

Answers

Answer:

(-1/2, 4)

Step-by-step explanation:

Get the x intercept. The x intercept occurs at when y = 0

0 = 8x + 4

-8x = 4

x = 4/-8

x = -1/2

Get the y intercept

y intercept occurs at x = 0

y = 8(0) + 4

y = 0+4

y = 4

Hence the required solution is (-1/2, 4)

The perpendicular bisectors of triangle RST intersect at K. Find KR

Answers

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Which sequence is an example of an arithmetic sequence

Answers

Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic

*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?

a.) Quota
b.) Salary
c.) Gross pay

Answers

Answer:

A

Step-by-step explanation:

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