A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. One of the expressions should use only a single multiplication and no other operations.

Answers

Answer 1

Answer:

7% of 45=3.15   and   3.15= 7% of 45

Step-by-step explanation:

Answer 2

The final cost of the book is, 45-7% of 45=41.85   and  

41.85= 45-7% of45.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

A book costs $45.

Sales tax on the book is 7%.

So, the final cost =$45-$( 7% of 45)

                            =$45-3.15

                            =$41.85

Hence, The final cost of the book is, 45-7% of 45=41.85   and  

41.85= 45-7% of45.

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Related Questions

Define the following vocabulary words
A.Factor
B.Variable
C.Product
D.Coefficient

Answers

Answer:

c

Step-by-step explanation:

Answer:

A factor is a circumstance or action that will/would influence an outcome.

A variable is something that is liable to change or something that isn't temporary.

A product is a result of an action or a process.

Coefficient means a quantity is being multiplied by the variable, for instance:

4 (the coefficient) X (the variable) - (the operator) 7 (the constant) = 5 (the constant)

What that looks like is: 4x-7=5.

A Speedboat increases in speed uniformly from 20m/s to 30m/s for 12.2 s. What is the acceleration of the speedboat?

Answers

Answer:

0.82 m/s^2

Step-by-step explanation:

Given data

initial velocity=20m/s

Final velocity= 30m/s

Time = 12.2s

Applying the formula

a= v-u/t

a= 30-20/12.2

a= 10/12.2

a= 0.819

a=0.82 m/s^2

Figure ABCD is a trapezoid. Find
the value of x.
3x+3
B
13
4x+2
A
D
X = ?

Answers

Answer:

x = 3

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

[tex]\frac{1}{2}[/tex] (3x + 3 + 4x + 2) = 13

[tex]\frac{1}{2}[/tex] (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

How many groups of 2/3 are in 5?

Answers

Answer:

7.5

Step-by-step explanation:

The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below: Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x Step 3: 5x − 2x = 12 + 6 Step 4: 3x = 18 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6

Answers

Answer:

B: Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

the student added  2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.

Answer:

b

Step-by-step explanation:

For the triangle shown, find sec x

Answers

You have the three basic trig functions: sine, cosine, and tangent.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent

You have three other trig functions: secant, cosecant, and cotangent.
Cosecant = hypotenuse/opposite
Secant = hypotenuse/adjacent
Cotangent = adjacent/opposite

The way I’ve always remembered these is the 3 other trig functions are sine, cosine, and tangent flipped. Sine’s opposite is cosecant. Cosines opposite is secant, and tangents opposite is cotangent.

If you notice, each of these functions has a word starting with co-, and a word starting without co-. That’s how I’ve always remembered that sine goes to cosecant and cosine goes to secant.

Now that we know secant (or sec for short) x = hypotenuse/adjacent, you can find it.

First, find the hypotenuse of the triangle. Use Pythagorean’s theorem to do this.

a^2 + b^2 = c^2
5^2 + 7^2 = c^2
25 + 49 = c^2
c^2 = 74
c = √74

Now plug the values for hypotenuse and adjacent into sec(x)
sec(x) = √74/7

Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, (7)2 + (5)2 = c2 ⇒ c = 72

.

Since x =  1 /cos x =  hypotenuse /adjacent , then sec x = √ 74/7

If you are finding the median of a data set, are you finding a measure of center or a measure of variation?

Answers

Median is a measure of center. To find the median, you find the middle, or center, of the data set. Mean would be an example of a measure of variation.

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hope it helps

BEST ANSWER GETS BRAINLIEST

Central Fencing has been hired to fence the perimeter of a rectangular field. The length of the field is 42 - W feet, where W is the width of the field, and the area of the field must be more than 432 square feet. Find the bounds on the width of the field.

Answers

Answer:

10.3 is the width

Step-by-step explanation:

set up an equation

42w=432

divided both sides by 42

W=10.2857142857

to rounded it to nearest tenth it will be 10.3

to check your answer multiply 10.3 by 42 it will be 432

check check

Answer:

18 ≤ w ≤ 24

Step-by-step explanation:

A = l * w

A ≥ 432 sq ft.

l = 42 - w

432 ≤ (42 - w) (w)

432 ≤ -w² + 42w

w² - 42w ≥ 432

Substitute values for w

w = 18

w = 24

Jose has $400 in the bank. Each week, he saves $130. He wants to know when he will have at least $1000

Answers

Answer:

Do 400 x 130 then whatever you get divide it by 1000

Step-by-step explanation:

Answer:

In at least 5 weeks, Jose will have at least 1000$

Step-by-step explanation:

Hope this helps!!!

Christopher has a points card for a movie theatre
He receives 30 rewards points just for signing up
He earns 5.5 points for each visit to the movie theatre
He needs 63 points for a free movie ticket
Write and solve an equation which can be used to determine x, the number of visits Christopher must make to earn a free movie ticket

Answers

Answer:

63 = 5.5 * x + 30

x = 6

Step-by-step explanation:

Answer:

63 = 5.5 * x + 30

x = 6

Step-by-step explanation:

just answered the question

Themla spent 1/6 of her weekly allowance on dog toys. 1/4 on a dog collar, and 1/3 on dog food. What fraction of her weekly allowance is left?

Answers

Answer:

¼ remaining

Step-by-step explanation:

Convert to common numerator of 12:

1/6 = 2/12

1/4 = 3/12

1/3 = 4/12

Total: 9/12

1 - 9/12 = 3/12 = ¼

Which equation models this situation?
25 more than a number is 32.
O A. x+ 25 = 32
B. x + 32 = 25
O C. x - 25 = 32
D. x = 25 + 32

Answers

A, because x is the number and when you add 25 more to it, it equals 32

Brittany and Stephanie went shopping together and spent $118 altogether. Stephanie spent $8 less than twice the amount as Brittany. How much did each girl spend

Answers

Answer:

4. x+y=11

3x+5y=45

Step-by-step explanation:

Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?

Answers

Answer:

I think the answer is 183.28

Step-by-step explanation: I divided 68.75 by 3 and got 22.91

so I multiplied 22.91 and 9.

What does the symbol≅for?

Answers

Answer:

approximately equal to/approximate equality/congruent or congruence (in geometry)

Answer: It means Approximate equality Congruence

a different rectangle has a perimeter of 144 feet. The difference between its length and width is 12 feet. Solve it by elimination.

Answers

Answer:

12

Step-by-step explanation:

What are the coordinates of the vertex of the parabola?

Answers

Answer:

A

Step-by-step explanation:

f(x) = a(x – h)^2 + k

Vertex (h, k)

according to the equation h= -3  k= -8

Please help, Trigonometry. Will mark brainliest.

Answers

Answer:

Cosine = Adjacent/Hypotenuse

Cosine A = 267/391

Cosine^-1 = 267/391

Angle A = 47 degrees.

Let me know if this helps!

If RSTU is a rhombus, find m< UTS.
R
S
(10x - 23)
T
(3x + 19)

Answers

Answer:

106°

Step-by-step explanation:

The requried measure of the angle m∠ UTS is given as 106°.

What is an angle bisector?

An angle bisector is the line segment that bisects the angle into two equal halves.

here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,

10x - 23 = 3x + 19
x = 37

Now,

∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°

Thus, the requried measure of the angle m∠UTS is given as 106°.

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Angle B and angle C are complementary. If angle B is five times the size of angle C what is the measurements of both angles.

Answers

Step-by-step explanation:

Let Angle C be x

So angle B will be 5x

Since they both are complementary, we can come up with this equation.

x+5x=90 degrees

6x=90 degrees

x=90/6,x=15

Measures of Angles

Angle C=x=15 degrees

Angle B=5x=5*15=75 degrees

PLEASE FOLLOW ME AND MARK AS BRAINILIEST

Find the distance between the points​

Answers

Answer:

5

Step-by-step explanation:

Grace earns $7 for each car she washes. She always saves $29 of her weekly earnings. This week, she wants to have at least $58 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation.
SOMEONE PLEASE HELP!!!!!!!!

Answers

In order to figure out how many cars she must wash, first you should figure out how much money total you need.  This week, she needs $25 for her weekly earnings + $65 for spending money = $90.  Then you divide the total amount of money, $90, by 7.  The answer is 12.8, but because you can't wash 12.8 cars, the answer is 13.

i NEED UR HELP CAUSE I DON'T KNOW WHAT I'M DOING PLS

Answers

Answer:

D) x > -4

Step-by-step explanation:

6x - 5 > -29

6x > -29 + 5

6x > -24

x > -4

what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21

Answers

Answer:

it must be y=-5x+21

Step-by-step explanation:

lets type the equation in front of us and make it simple so we can deal with it

y-1=-5(x-4)

first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this

y-1=-5x+20             -5*x=-5,,  -5*-4=20 (note: when you multiply negative with

                                                               negative result is positive)

then add each side by 1 so it will be

y=-5x+21

Please what’s the value of x

Answers

The value of z is 20
Hold on ima get it for you

Which sum or difference is modeled by the algebra tiles?
A. (x2 - 2x + 3) - (-x - 4x - 2) = 2x - 1
B. (x - 2x - 3) + (x2 - 4x + 2) = 2x - 1
C. (x2 - 2x-3) - (x + 4x + 2) = 2x - 1
D.(X2-2x-3) + (-x2 +4x+2)=2x-1​

Answers

The answer is B!!!!!!!!!!!

The sum or difference modeled by the algebra tiles shown in the image is: [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1[/tex]. The correct option is C.

What is algebra?

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols.

The tiles on the left side of the equation represent the polynomial x^2 - 2x - 3, which can be factored as (x - 3)(x + 1).

The tiles on the right side of the equation represent the polynomial -x - 4x - 2, which can be simplified as -5x - 2.

Substituting these expressions into the original equation, we get:

(x - 3)(x + 1) - (-5x - 2) = 2x - 1

Expanding the left side and simplifying, we get:

[tex]x^2 - 2x - 3 + 5x + 2 = 2x - 1[/tex]

Simplifying further, we get:

[tex]x^2 + 3x - 2 = 2x - 1\\x^2 + x - 1 = 0[/tex]

This is a quadratic equation that can be factored as (x + 1)(x - 1) = 0, which has roots x = -1 and x = 1.

Therefore, the sum or difference modeled by the algebra tiles is C. [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1.[/tex]

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I need help with studying​

Answers

Whenever you study try not to study in your bed so that you don’t fall asleep too easily also set a timer for maybe 20 minutes and then take five minute breaks in between to get a snack or glance at your phone or just relax. Try not to overwork yourself.

please help me ill mark you brainlyest

Answers

Answer:

A is false it said it could be greater than 35 or equal to and 100 x 5 = 500 + 1 = 501 therefore a is false

B is false 6.8 could be possible and it could be a decimal it can't only be a whole number

C is false 6 4/5 is a solution so c is false

D is I'm not sure, I think infinite except for 7 and below so maybe true

E is false because any number greater than 7 that are multiplied to 5 can be as long as its greater than or equal to 35

Ok this is what I think. Id rather wait for more answers to be sure thank you.

The topics is law of cosines and sines and I really need help with this

Answers

Answer:

i guess it is correct

Explain how you found the unit rate for the previous activity. Then, explain how you used this information to graph this relationship.

Answers

Answer:

.

Step-by-step explanation:

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