Answer:
12
Step-by-step explanation:
12
Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint he will buy. The drawing below shows the dimensions of the wall.
Part A: Given the drawing, what is the area of the wall?
The area of the wall is
square feet.
Part B: If one quart of paint will cover 22 square feet, how many whole quarts will Mr. Chen need to buy?
He will need to buy
whole quarts.
Area of the figure
= (area of rectangle) + (area of triangle)
= (8 × 10) + (½ × 4 × 8)
= 80 + 16
= 96
Area = 96ft²
Quarts of paint needed
= 96/22
= 48/11
= 4.36
Mr. Chen will have to buy 5 quarts of paint.
Yasmine needs to create invitations for the party she has 3/4 of an hour to make the invitations it takes her 1/12 of an hour to make each card how many invitations can Yasmine create?
Answer:
Yasmine can make 9 invitations.
Step-by-step explanation:
[tex]\frac{\frac{3}{4} }{\frac{1}{12} }=\frac{36}{4}=9[/tex]
Solve this system by elimination
10x+6y=14
-x-6y=-23
Answer:
(-1, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
10x + 6y = 14
-x - 6y = -23
Step 2: Solve for x
Elimination
Add 2 equations together: 9x = -9Divide 9 on both sides: x = -1Step 3: Solve for y
Define original equation: -x - 6y = -23Substitute in x: -(-1) - 6y = -23Multiply: 1 - 6y = -23Subtract 1 on both sides: -6y = -24Divide -6 on both sides: y = 4Cassidy has a bag of 72 red beads and 90 blue beads. She would like use the beads to make bracelets that have the same ratio of red to blue beads as in the bag. If a bracelet has 15 blue beads, how many red beads does it have? *
Answer:In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42
(
1
,
2
,
3
,
6
,
7
,
14
,
21
,
42
)
, all the factors of 72
(
1
,
2
,
3
,
4
,
6
,
8
,
9
,
12
,
18
,
24
,
36
,
72
)
, and comparing them to see that their HCF is
6
. Or, it can be done by dividing both numbers,
=
72
42
, simplifying the fraction
=
12
7
, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.
72
12
=
6
or
42
7
=
6
This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:
If
a
=
any number,
b
=
any number and
c
d
is the simplified fraction of
a
b
,
The HCF
=
a
c
or
=
b
d
I hope that helped!
Step-by-step explanation:
4y+36=128 solve the equation
Answer:
128÷ 36=92
92÷ 4=23
y=23
Select the correct answer.
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
Answer:
C.) $835.49
(For plato users)
two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
problem 1. 2/8-2/4+8/16
problem 2. 8/16-1/4+8/16
Answer:
1: 4/16 or simplified to 1/4
2: 12/16 or simplified to 3/4
Step-by-step explanation:
Hope this helps
what is the slope of the line that contains these points (31,10)(36,7)(41,4)(46,1)
For every 72 students there are 16 females. If there are 4 females, about how many students are there?
Answer:
14 im pertty sure
Step-by-step explanation:
Solve the two-step equation 5x + 6 = 26
A. x = 6
B. x = 5
C. x = 32/5
D.None of the above
Answer:
D none of the above becuz x=4
Answer:
D
Step-by-step explanation:
Help don’t understand
What 23 divided by 34
Answer: 0.6764705882
Step-by-step explanation:
Divide. Give the quotient and the remainder
303÷4
Ben Lee earns $86,720 annually. What is his semimonthly pay
Answer:
$3,998 would be the semi monthly pay.
Round 0.93 to the nearest tenth.
Answer:
the answer would be 0.9
Step-by-step explanation:
when rounding anything under 5 remains the same and anything over 5 rounds up to the next number. in this case three is less than five so the 9 would remain the same
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
is 350 and 180 equivalent
Answer:
no
Step-by-step explanation:
Answer:
Both of them have a bit of same factors and both are composite so they are not really
Step-by-step explanation:
2(x-3)+5>39
Thanks!!!!!!!!!!!
Answer:
x > 20
:) hope this helps
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
the product does not exits
The product matrix is,
[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
For example, is a matrix with two rows and three columns.
here, we have,
two matrices,
A = 2×3
and, B= 3×2,
as the no. of column of A = the no. of row of B
the can be a product matrix of order 2×2.
Now, we get,
the product matrix is,
[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]
To learn more on matrix click:
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Primitive function for:
1. f(x)=4e2x+e−x, sådan att F(0)=2
The primitive function for [tex]f(x) = 4e^{2x} + e^{-x}[/tex] is given by it's indefinite integral.
To calculate it, recall:
[tex]\frac{d}{dx}e^{ax}=ae^{ax}[/tex]
[tex]\int c f(x)dx = c\int f(x)dx[/tex]
Let's begin
[tex]\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\[/tex]
[tex]F(x) = 2e^{2x}-e^{-x} +c[/tex]
To find the costant, we just need to use the fact that [tex]F(0)=2[/tex]
[tex]F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3[/tex]
Therefore,
[tex]\boxed{F(x) = 2e^{2x} - e^{-x} -3 }[/tex]
May I know this answer
Select all the equations that have the same solution as 2x - 5 = 15
A
2x = 10
B
2x = 20
C С
2(x - 5) = 15
D
2x - 20 = 0
E
43 - 10 = 30
F 15 = 5 – 22
Answer:
Step-by-step explanation:
2x - 5 = 15
Bringing like terms on one side
2x = 15 + 5
2x = 20
Option B is the correct answer
Answer:
b) 2x = 20
c) 2(x - 5) = 15
D) 2x - 20 = 0
Explanation
2x - 5 = 15
2x = 15 + 5
2x = 20
x= 20/2
x= 10
a) 2x = 10
x= 10/2
x= 5 (which is not correct)
b) 2x = 20
x= 20/2
x = 10 (which is correct )
c) 2(x- 5) = 15
2x - 10 = 15.
2x = 15 +10
2x = 20
x = 20/2
x= 10 ( which is correct)
d) 2x - 20 = 0
2x = 20
x= 20/2
x= 10 ( which is correct)
What is the y coordinate in the solution for the system of linear equations 5x-2y=4, 3x-4y=-6
y =3
After you set each equation to terms where you can cancel out the x
you are left with:
14y = 42
y = 3
** sorry
Amy loaned \$5$5dollar sign, 5 to each of 202020 people. She recorded each loan by writing -\$5−$5minus, dollar sign, 5 in her bank book.What is the total change in the amount of money Amy had before the loans?
Answer:
-30
Step-by-step explanation:
Answer:
its actually -100 in khan academy
Step-by-step explanation:
The art teacher buys containers to store 1,314 colored pencils. Each container holds 18 pencils. How many containers does the art teacher need to store all the colored pencils?
Answer:
The art teacher needs 73 containers to store all the colored pencils.
Step-by-step explanation:
1,314 colored pencils ÷ 18 pencils per container = 73 containers total
The number of containers the art teacher need to store all the colored pencils is 73.
Given that, the art teacher buys containers to store 1,314 colored pencils.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, each container holds 18 pencils.
Number of containers = Total number of pencils/Number of pencils in each container
= 1314/18
= 73
Therefore, the number of containers the art teacher need to store all the colored pencils is 73.
To learn more about the unitary method visit:
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what is 1/3x +26 = 23 equal? please help thank you.
Answer:
x= -9
Step-by-step explanation:
If x = -2, then x^2-7x+10 equals
0
20
28
Answer:
28
Step-by-step explanation:
Substitute x = - 2 into the expression, that is
(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28
what is the slope of (-2,4) and (-2,-4)
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
m = (change in y) / (change in x) = 8/0: undefined
Step-by-step explanation:
Note that the x-coordinate of both given points is the same: -2. This means that x does not change and also that y changes from -4 to 4. The slope is undefined because division by zero is not defined:
m = (change in y) / (change in x) = 8/0: undefined
Factoring trinomials and difference of squares. I need to understand the steps.
Answer:
Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]
Step-by-step explanation:
We need to solve the polynomial: [tex]3x^2-75[/tex]
First we see that 3 is common term, so taking 3 as common
[tex]3(x^2-25)[/tex]
We know that 25 = 5x5 = 5²
So, replacing 25 with 5²
[tex]3(x^2-5^2)[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]
[tex]3(x+5)(x-5)[/tex]
So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]