Answer:
I'm pretty sure it's -15
Step-by-step explanation:
Adam and Barb planned a used book sale for the weekend so they gathered their books and agreed on a price for hardbacks and a lower price for paperbacks. Adam sold 14 hardcover books and 20 paperbacks and earned $234 for his efforts. Barb sold 15 hardcover books and 9 paperbacks. Barb made $201. How much did they charge for each hardcover book and for each paperback?
You must show your work.
1) Mathematically what kind of problem is this called? (What concept did you apply to this problem that allowed you to solve it?)
2) Set up the problem showing the equations you’ll use. Please make sure you label or explain what your variables mean.
3) Show the math work to arrive at the answer. Please make it clear which price is hardcover and which is paperback.
Answer: hardcover books x=11 and paperbacks y=4
Step-by-step explanation:
14x+20y=234
15x+9y=201
Multiply the top equation by 9 and the bottom equation by 20 so the outcome of both equations would be 126x+180y=2106 and 300x+180y=4020 then you subtract the two equations once you do that you get 174x=1914, and the y variable cancels out, once you divide 174 from 1914 you get 11x. So the answer for how much hardcover books cost is 11 dollars. Now we have to find the y variable which we can just plug in 11 (x) into the equation. So 15(11)+9y=201 we get 165+9y=201, subtract 165 from both sides and we get 9y=36 and divide 9 from both sides and we get 4 so y=4 the cost of paperbacks are 4 dollars
The two figures below, a regular hexagon and regular pentagon, have the same perimeter. What is the length of one side of the pentagon?
Find the perimeter of this triangle.
Answer:
15.67 unitsStep-by-step explanation:
Points on the graph:
(3,6), (7,3) and (10,5)Perimeter is the sum of side lengths
Side length is the distance between points
Distance is found by the distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Sides:
1. [tex]\sqrt{(7-3)^2 + (3-6)^2}= \sqrt{16+9} = 5[/tex]2. [tex]\sqrt{(10-3)^2 + (5-6)^2} = \sqrt{49 + 1} = \sqrt{50}[/tex] = 7.073. [tex]\sqrt{(10-7)^2 + (5-3)^2} =\sqrt{9 + 4} =\sqrt{13}[/tex] = 3.60Perimeter:
P = 5 + 7.07 + 3.6 = 15.67It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar
It Is Going To Be 5 Because 15÷3=5 And 15÷5=3 And 5×3=15 3×5=15
Lupe put $12,000 in a certificate of deposit that gained interest at a rate of 6.5%. How much interest did the account gain after 3 months?
Answer:
$195
Step-by-step explanation:
We use the simple interest formula.
I = Prt
I = Interest
P = Principal (initial value)
r = Interest rate
t = Time (years)
P = $12,000
r = 6.5% which we convert to a decimal by dividing by 100 6.5/100 = .065
t = 3 months which we convert to years by dividing by 12 3/12 = 1/4 = .25
Plug in the values
I = 12000 * .065 * .25
I = $195 interest gained
Answer:
195
Step-by-step explanation:
3 month is .25 years
6.5/100 = .065
12000 x .065 x .25 = 195
If x = -2, then 2x = -4.
A. Addition Property of Equality
B. Subtraction Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
E. I'm not sure.
The statement "If x = -2, then 2x = -4" can be demonstrated using the Multiplication Property of Equality.
Option C is the correct answer.
We have,
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the equality still holds true.
In this case, x = -2.
Multiply both sides of the equation by 2,
2x = 2(-2) = -4
Thus,
The statement "If x = -2, then 2x = -4" can be demonstrated using the Multiplication Property of Equality.
Learn more about expressions here:
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A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters?
Answer:
Total time taken = 12.5 second
Step-by-step explanation:
Given:
Speed of runner = 8 m/s
Total distance cover = 100 m
Find:
Total time taken
Computation:
Time taken = Distance / Speed
Total time taken = 100 / 8
Total time taken = 12.5 second
What is the slope of the line ?
Answer:
The slope of a line characterizes the direction of a line.
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. also You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
Write an equation models the following statement:
17 less than h equals 42
Answer:
17 < h = 42
Step-by-step explanation:
Hoped this helped! :)
we cannot have a negative number for x (its against the laws of math), so the domain would be all non-negative numbers
Answer:
h - 17 = 42
Step-by-step explanation:
I know this because it was the answer on quizziz
Round 2.93 to the nearest whole number.
Answer anyone ?
Answer:
3
Step-by-step explanation:
2.9 is closest to 3
Answer:
3
Step-by-step explanation:
2.93 rounded to the nearest whole number is 3.
Any values between 2.0 and 2.5 get rounded to 2, while any values between 2.5 (incl. 2.5) to 3.0 get rounded to 3.
Examples:
2.93 -> 3
2.73 -> 3
2.5 -> 3
2.49 -> 2
2.35 -> 2
2.1 -> 2
Find the midpoint
(12,15) and (-8, -22)
Find the distance between the points R(0, 1) and S(6, 3.5). The exact distance between the two points is .
Answer:
the answer 6.5
........
The distance between the points R(0, 1) and S(6, 3.5) is 6.5 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
Two points are:
R(0, 1) and S(6, 3.5)
To find the distance between points R and S we can use the distance formula.
[tex]\rm d=\sqrt{(6-0)^2+(3.5-1)^2}\\[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
d = √(36 + 6.25)
d = √42.25
d = 6.5 units
Thus, the distance between the points R(0, 1) and S(6, 3.5) is 6.5 units after using the distance formula.
Learn more about the distance formula here:
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What is 16x4 – 100y4 factored completely
Answer:
[tex]16x^4-100y^4[/tex]
Step-by-step explanation:
[tex]16x^4-100y^4[/tex]
Since there aren't any like terms, the answer would be:
[tex]16x^4-100y^4[/tex]
Hope this helps!
Answer:
4(2x^2 + 5y^2)(2x^2 - 5y^2)
Step-by-step explanation:
Rewrite:
=4 * 4x^4 + 25 * 4y^4
Factor out common term (4):
=4(4x^4 - 25y^4)
Answer:
4(2x^2 + 5y^2)(2x^2 - 5y^2)
Simplify by using the distributive property:
[tex]\huge\boxed{\sf{Hi\:there!}}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
4(s+5)
4s+20
2(3r-12)
6r-24
-3(16-3d)
-48+9d
[tex]\huge\boxed{\bf{Hope\:this\:helps!}}[/tex]
[tex]\Large\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Someone please help me, I don't understand these types of questions.
Answer:
a = h/5
Step-by-step explanation:
If you had the equation ...
10 = 5a
and you wanted to find the value of the variable, you would divide by its coefficient:
10/5 = (5a)/5
2 = a
__
Here, we have replaced '10' with 'h'. The same (single) step applies: divide by the coefficient of 'a'.
h = 5a
h/5 = a
To put this in "a = " form, swap the sides of the equal sign:
a = h/5
_____
Literal equations just use different symbols (h instead of 10, here). The operations are the same.
4 less than 2 times the number x
Answer:
2x-4
Step-by-step explanation:
1) Since it says 2 times the number x, it is 2x
2) Then, it says 4 less than 28
3) The equation/answer would be 2x-4
Answer:
The answer is 2x-4
please solve 5p-9=2p+12
The required solution to the equation 5p - 9 = 2p + 12 is p = 7, as of the given condition.
To solve the equation 5p - 9 = 2p + 12, we will follow these steps:
Combine like terms on each side of the equation:
5p - 9 = 2p + 12
Move all the terms containing "p" to one side and the constant terms to the other side. To do this, we'll subtract 2p from both sides and add 9 to both sides:
5p - 2p - 9 + 9 = 2p + 12 - 2p + 9
Simplifying both sides:
3p = 21
Now, to solve for "p," we'll divide both sides of the equation by 3:
3p/3 = 21/3
Simplifying:
p = 7
Therefore, the solution to the equation 5p - 9 = 2p + 12 is p = 7.
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Write a couple sentences to explain how you would find the area of the shaded region:
Answer:
I would find the area of the circle and then find the area of the shape in the middle and then minus that from the area of the whole circle
Answer:
Step-by-step explanation:
1. Find the area of the circle. Area_c = pi * r^2
2.Find the area of the pentagon in terms of the radius Area_P =
3 sqrt(3) r^2 / 2
The answer you want is Area_shade = Area_c - area_P
Area = pi * r^2 - 3 sqrt(3)r^2/2
Area = r^2 (pi - 3 sqrt(3)/2)
Determine whether the pair of lines appear to be parallel or perpendicular.
.. There’s just two lines like this \\
Answer:
option c
Step-by-step explanation:
If 2 lines are like this " \\ " , then they are separated from each other with same distance & will never ever intersect
When muiltplying two exponents, If the base numbers are DIFFERENT can u add the two exponents?
I need help with this
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
C)- 8, - 4 ) → C'(- 4, 8 )
D(0, - 4 ) → D'(- 4, 0 )
E(- 8, - 9 ) → E'(- 9, 8 )
0.4 x 1/10 is what ?
Answer: 4/100
Step-by-step explanation:
The figure is transformed as shown in the diagram. Describe the transformation.
A) reflection, then rotation
B) rotation, then reflection
C) reflection, then dilation
D) translation, then dilation
Answer:
B) Rotation, then Reflection
1. Five gallons of lemonade cost $8.00, which is
a rate of _____per____.
Answer:
1. $1.60
2. gallon
Step-by-step explanation:
Each gallon of lemonade would cost $1.60.
The rate is $1.60 per gallon.
Hope it helps!
Hey there!
[tex]Answer: \boxed{1.60 \text{ per } gallon}[/tex]
[tex]Explanation:[/tex]
If 5 gallons cost 8.00, we will need to divide to find the amount of 1 gallon each.
$[tex]$8.00/5=1.60[/tex]
So that means that each gallon was $1.60. So the answer to your question is:
[tex]\boxed{1.60 \text{ per } gallon}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Tom and Jerry have a pool with a diameter of 12 ft. What is the
circumference of the pool?
Hello!
Answer:
[tex]\large\boxed{C = 12\pi ft\text{ or } C = 37.68ft}[/tex]
[tex]\text{Formula for the circumference of a circle:}[/tex]
[tex]C = d\pi[/tex]
[tex]\text{In this instance, d = 12 ft. Plug this value into the equation:}[/tex]
[tex]C = 12\pi ft \text{ or } C = 37.68 ft (\pi = 3.14)[/tex]
Answer: 37.7
Step-by-step explanation: multiply the diameter by pi
If the value of 2x is 2, then what is the value of x?
12 ?
Answer:
1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
work backwards.
2x=2
divide the constant by the product
2/2=1
so x=1
pls help me 20 points
Answer:
Step-by-step explanation:
Its a real number
Answer:
integer
Real Number
Rational
Step-by-step explanation:
I need to know the answer
round 24,732 to the
nearest thousand.
Answer:
25,000
Step-by-step explanation:
7 is greater than 5 so we need to round UP
what is coefficient of the term 16x
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
We are given the term:
16x
We want to find the coefficient.
A coefficient is a constant that a variable is multiplied by. Essentially, it is the number in front of the variable.
The variable in the term is x. The number that precedes the variable is 16. Therefore, the coefficient of the term must be 16.
