Pi High School ordered 40 science books. The next week, the school ordered 30 algebra books. The bill for the first order was $360 greater than the bill for the second order. The two bills together totaled $3960. Find the price of an algebra book.

Answers

Answer 1

Answer:

Each algebra book costs $60.

Step-by-step explanation:

A=bill for algebra books; S=bill for science books=A+$360

S+A=$3960 Substitute for S

A+$360+A=$3960 Subtract $360 from each side.

2A=$3600 Divide each side by 2.

A=$1800 The order for 30 algebra books cost $1800.

Individual book=A/30

individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.


Related Questions

Solve the equation 17=5k-3

Answers

Answer:

k = 4

Step-by-step explanation:

17 = 5k - 3

+3.         +3

20/5 = 5k/5

4 = k

k = 4

Answer: k = 4

17=5k-3

1. In order to solve this linear equation, we'll need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In the problem, term -3 will be moved on the left side. Notice the sign changes when you move it to the left.

17=5k-3 ⇒ 17 + 3 = (5k - 3) + 3

20 = 5k - 3 + 3

2. Add the numerical terms.

20 = 5k - (3 + 3) = 6. Note: We don't need the six in the 3rd step.

20 = 5k

3. Switch the variable term. (Ex: 3x + 9 ⇒ 9 + 3x)

20 = 5k ⇒ 5k = 20

5k = 20

4. We will need to isolate the variable, to do that, get rid of the coefficient that it multiples. We can do that by dividing 5 by both sides.

5k/5 ÷ 20/5 = 1k/4

5k/5

5. We'll need to reduce 5k/5 to its lowest terms. We can divide the factors that appear both in the numerator and denominator. If we look at 5k/5, 5 appears both in the numerator and denominator.

5k/5 ⇒ k = 2²· 5/5

6. Lastly, we can do the same thing as we did in the 5th step. That'll lead us to k = 2²

7. Solve for 2²

2 x 2 = 4.

Hence, our answer is 4.

Got any questions? Tell me in the comments.

~ Lily, from Brainly.

-16(d+1)=20

what does d equal

CORRECT answers ONLY please

Answers

Answer:

-1.3125

Step-by-step explanation:

-16(d+1) = 20

-16d - 1 = 20

       +1    +1

-16d = 21

d = -1.3125

or -1.3

(9 +40) + (5 +2b) simplify answer.​

Answers

Answer:

54 + 2b

Step-by-step explanation:

(9 + 40) + (5 + 2b)

49 + 5 + 2b

54 + 2b

The answer is 2 (27+b)

IWrite the word “TRUE” if the statement is true, and if FALSE underline the word that makes the statement incorrect.
1. All squares are rectangles. _______
2. Not every rectangle is a rhombus. ____
3. Every quadrilateral is a parallelogram.
_______
4. Some rectangles are rhombuses. _____
5. Rectangles are squares. ____
6. Every parallelogram is a rhombus. ____
7. All rhombuses are parallelogram. ____ 8. A square has diagonals that are
congruent and perpendicular. _____ 9. The diagonals of a rhombus are
congruent. ______
10. A rectangle is an equiangular quadrilateral. ___

Answers

Answer:

1.false

2.false

3.

4.false

5false

7false

8false

9false

false

Which of the following is a perfect square?

A.) 115
B.) 169
C.) 154
D.) 279

Answers

Answer:

B (169)

Step-by-step explanation:

Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B. Sqrt 34 C 6 D.Sqrt 41 Please select the best answer from the choices provided

Answers

Answer:

Attach a picture of the shape for the sides already known...

Step-by-step explanation:

The measures of three sides of a triangle are 7 inches, 9 inches and 2 inches. Determine whether the triangle is a right triangle.

Answers

Use pythagorean theorem.
2^2 + 7^2 should equal 9^2 (81), but instead equals 53, therefore, the triangle is not a right angle.

Hope this helps!!

PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!!!

Answers

Answer:

1) 27.374

2)9.177

Step-by-step explanation:

1) To get the value of x , we use the appropriate trigonometric ratio

From what we are given;

we have the hypotenuse ( the side facing the right angle) and the adjacent

The trigonometric identity to use here is the cos

The cos of an angle is the ratio of the adjacent to the hypotenuse

cos 64 = 12/x

x = 12/cos 64

x = 27.374

2) Here, we are given the hypotenuse and the opposite

The trigonometric ratio to use here is the sine

the sine of an angle is the ratio of the opposite to the hypotenuse

thus, we have it that;

sin 35 = x/16

x = 16 sin 35

x = 9.177

Emergency please help I have been trying to solve this all day I am stûpid

Answers

Answer: x= 5.3

Step-by-step explanation:

Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3

Help!!!!! Please!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

r = 3cm

Volume of cone = 27π cm³

[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]

                   h   = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]

                    h = 9 cm

aundreys mother has decided to start a college savings account for him. aundrey is about to start kindergarten, and she decides to deposit $1000 in to an account with a 1.3% annual interest rate. How much will be in the account when aundrey starts 4th grade (4 years later) if she makes no deposits or withdrawals and the interest is compounded annually?

a) $27,984.10
b) $1,630.47
c) $1,053.02
d) $949.01

Answers

Answer:

C

Step-by-step explanation:

1.3% of 1000 is 13, 13 X 4 ≈ 53

Solve for m: m/3 + 10 =15

Answers

Answer:

m=15

Step-by-step explanation:

how to multiply fractions

Answers

For example,

[tex]\frac{1}{2} *\frac{1}{2}[/tex]

They both do have the same denominator, so we can multiply them.

We need to multiply the numerators.

Next, multiply the denominators.

We then get:

1/4

--

If the denominators are not the same, find the LCD (Least Common Denominator) of the two fractions. Then, follow above.

--

Need Help? Please leave a comment :D

lowest common factor of 36 and 56??? ​

Answers

Answer:

the lowest common factor of 36 and 56 is 1

you can also have 2,4

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Answers

Answer:

See the solution below

Step-by-step explanation:

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Given data

Let the first number be x

and the second number be y

so

x+y= 8---------1

x*y= 17---------2

from 1

x= 8-y

put the value of x in 2

(8-y)*y= 17

8y-y^2= 17

collect like terms

y^2-8y+17= 0

Let us check the discriminant

y=  √b^2-4ac

y=   √-8^2-4*1*17

y= √64-4*1*17

y= √64-68

y= √-4

Hence the problem has no real solution because the discriminant is negative

Write the word sentence as an inequality.
The sum of a number n and
n
is no less
less than
than 55
An inequality is
What is the inequalities

Answers

The answer I think is an inequality

Ronald’s parents have $35,000 saved and want to save a total of $125,000 for Ronald to go to college. Ronald’s parents began saving when Ronald was born and plan to save until he is 18 years old. Ronald is 5 years old now. About how much money do Ronald’s parents need to save each month?

Answers

Answer:

Money need to save each month  = $576.92 each month

Step-by-step explanation:

Given:

Amount of money need to save = $125,000 - $35,000 = $90,000

Number of year remain = 18 - 5 = 13 year

Number of months = 13 x 12 = 156 months

Find:

Money need to save each month

Computation:

Money need to save each month = 90,000 / 156

Money need to save each month  = $576.92 each month

Some friends went hiking. The very top of a trail was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles than they walked on the trail. How far did the friends walk? How far did the friends drive?
Please give steps.

Answers

they walked 52 and drove 16

26x2=52 and 8x2=16

how do i do sohcahtoha

Answers

Answer:

you mean trigonometry i'm assuming

but essentially:

soh = sin theta (the angle) = opposite length/hypotenuse length

cah = cos theta (angle) = adjacent length/hypotenuse length

toa = tan theta (angle) = opposite length/adjacent length

Step-by-step explanation:

-2/8, -0.2, -3/7 from least to greatest???

Answers

Answer:

-3/7, -2/8, -0.2

Step-by-step explanation:

-0.2 = -1/5

We have -3/7, -2/8 and -1/5

For positive b and d:

a/b < c/d if and only if a*d < c*b

-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true

-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true

so we get -3/7 < -2/8 < -0.2

Please help meh I keep getting it wrong im so sad

Answers

Answer:

1, 2 and 5

Step-by-step explanation:

PLEASE HELPPPPPPPPPPP​

Answers

Answer:

I think it is 20

Step-by-step explanation:

15+15+24+26=80÷4=20

Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
least number of $20 bills he needs to buy the chairs.

Answers

Answer: 5

Step-by-step explanation:

Answer:

5, $ 20 bills

Step-by-step explanation:

27.90× 3 = around 85

$85÷ $20=4.25

So 5, 20 dollar bills because it is more that 4

A 20% increase followed by a 25% decrease

Answers

Answer:

So basically 5%?

Step-by-step explanation:

❗️❗️❗️
Please help!! Will give brainliest!!!

Is the function f(x) = 5x2 even or odd? Why?

Answers

Answer

How can tell if  the function [latex]f\left(x\right)={x}^{3}+2x\\[/latex] even, odd, or neither? Solution Without looking at a graph, we can determine whether the function is even or odd by finding formulas for the reflections and determining if they return us to the original function.

Step-by-step explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on a certain object, the acceleration of the object is 3 m/s2. If the acceleration of the object becomes 5 m/s2, what is the force?

Answers

Answer:

the force is pull

Step-by-step explanation:

They are correct;),.

Explain when you should reverse the inequality symbol when solving an equality.

Answers

You must “reverse” the inequality sign to make the statement true: When you multiply by a negative number, “reverse” the inequality sign. Whenever you multiply or divide both sides of an inequality by a negative number, the inequality sign must be reversed in order to keep a true statement.

Find the volume: 5 cm cm 1ac 6.5cm
Pls help-?​

Answers

Answer:

390 cm

Step-by-step explanation:

How to find Volume

Width x Height x Length

=Volume

--

6.5 x 12 x 5 = 390

390 cm

--

i’m a little bit confused for this one i just need to know what doesn’t belong

Answers

Answer:

C

Step-by-step explanation:

there is no other line

PLEASE HELP!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).

a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum

Answers

Answer:

A rectangle is bounded by the x-axis and the semicircle y = √(25 - x²). What length and width should the rectangle have so that its area is a maximum?

Step-by-step explanation:

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