what is the solution to this system of equations?
x-2y=15
2x + 4y=-18
Answer:
x = 3; y = -6
Step-by-step explanation:
x - 2y = 15
2x + 4y = -18
Multiply both sides of the first equation by 2. Write the second equation below it, and add the two equations.
2x - 4y = 30
(+) 2x + 4y = -18
---------------------------
4x = 12
4x/4 = 12/4
x = 3
Now we substitute 3 for x in the first equation and solve for y.
x - 2y = 15
3 - 2y = 15
-2y = 12
y = -6
Answer: x = 3; y = -6
Simply 2p(p+2)-3p(2p-3) =
Answer:
p (13 - 4 p)
Step-by-step explanation:
Simplify the following:
2 p (p + 2) - 3 p (2 p - 3)
Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).
Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):
p (2 (p + 2) - 3 (2 p - 3))
Hint: | Distribute 2 over p + 2.
2 (p + 2) = 2 p + 4:
p (2 p + 4 - 3 (2 p - 3))
Hint: | Distribute -3 over 2 p - 3.
-3 (2 p - 3) = 9 - 6 p:
p (2 p + 9 - 6 p + 4)
Hint: | Group like terms in 2 p - 6 p + 4 + 9.
Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):
p (4 + 9) + (2 p - 6 p)
Hint: | Combine like terms in 2 p - 6 p.
2 p - 6 p = -4 p:
p (-4 p + (4 + 9))
Hint: | Evaluate 4 + 9.
4 + 9 = 13:
Answer: p (13 - 4 p)
Help me please 2(x-4) = 6x - 6
Answer:
-1/2 = x
Step-by-step explanation:
2 (x - 4) = 6x - 6 (distribute)
2x - 8 = 6x - 6 ( subtract 2x from each side)
- 8 = 4x - 6 ( add 6 to both sides)
-2 = 4x ( divide each side by 4)
x = -2/4 which simplifies to -1/2
Answer:
x is -1/2 (negative one half)
Step-by-step explanation:
Apply distributive property on the left in order to get rid of the parenthesis, and then group all terms in x on the right, and all numerical terms on the left. Combine like terms, and finally solve for "x":
2 (x - 4) = 6 x - 6
2 x - 8 = 6 x - 6
6 - 8 = 6 x - 2 x
-2 = 4 x
x = -2/4
x = -1/2
Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}
Answer:
g(-1) = 6
g(0) = 5
g(1) = 6
g(2) = 9
Step-by-step explanation:
Step 1: Plug in -1 for x
g(-1) = (-1)² + 5
g(-1) = 1 + 5
g(-1) = 6
Step 2: Plug in 0 for x
g(0) = 0² + 5
g(0) = 0 + 5
g(0) = 5
Step 3: Plug in 1 for x
g(1) = 1² + 5
g(1) = 1 + 5
g(1) = 6
Step 4: Plug in 2 for x
g(2) = 2² + 5
g(2) = 4 + 5
g(2) = 9
A copy machine makes 112 copies in minutes3 and30 seconds. How many copies does it make per minute?
Answer:
32
Step-by-step explanation:
It takes a total of 210 seconds to make 112 copies.
Divide 210 by 60 to get 3.5
(If you divide 210 by 3.5 you get 60 sec.)
Next, divide 112 by 3.5
The copy machine makes 32 copies in one minute.
Identify each of the following variables as categorical or quantitative.(a) Blood type of a randomly selected person. (b) Amount of snow (in inch) of the next snow storm in Ottawa (c) Daily exchange rate of Canadian dollar versus US dollar (d) The number of car accidents in Ottawa area tomorrow
Answer:
Step-by-step explanation:
A
The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the length of the rectangle. Show work.
Answer:
Step-by-step explanation:
width = w
length = 12 + w
Perimeter of rectangle = 2*length + 2*width since perimeter measures the distance around an object.
The perimeter of a certain rectangle is 16 times the width means 2 * (12 + w) + 2 *w = 16w
24 + 2w + 2w = 16w
24 + 4w = 16w subtract 4w from both sides
24 = 12 w divide both sides by 12
2 = w
width = 2 cm
length = 12 + 2 = 14 cm
three less than the product of six and an unknown number is the same as the product of three and the sum of the number and two
Answer:
6x - 3 = 3(x + 2)
Step-by-step explanation:
The battery in camilles old phone can’t last for 4.2 hours .she bought a new phone that’s gas battery that can last 60% longer . How long can the battery on camilles new phone last?
Answer:
6.72 Hours
Step-by-step explanation:
Since the new phone can last 60% Longer than 4.2 hours, we multiply 4.2 by .6 and then add it back to 4.2
4.2 X 60% = 2.52
2.52+4.2=6.72
Therefore, the new phone can last 6.72 hours
Si se reduce en 5 unidades de mil el número 23 657, ¿cuál número se obtiene? a) 23 607 b) 18 657 c) 23 157 d) 23 652
Answer:
a 23 607
Step-by-step explanation:
A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The genetic test is 98% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.98. The test is 97% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition? (Round your answer to four decimal places.)
can someone pleaseee help me
Answer
13/4
Step-by-step explanation:
What is 9+(5x10)+1-(15x2)
Answer:
30
Step-by-step explanation:
=9 + 5 x 10 + 1 + -15 x 2 = ( 5 x 10 ) + ( −15 x 2) + ( 9 +1 ) = 5 x 10 + −15 x 2 + 10
Answer:
30
Step-by-step explanation:
9+(5x10)+1-(15x2)
First, we must evaluate the numbers in the parentheses. (5x10) is 50, and (15x2) is 30. Since we have the answers to that, we can now put the expression as: 9 + (50) + 1 - (30).
9 + (50) = 59
59 + 1 = 60
60 - (30) = 30
Therefore, the answer is 30.
Hope this helped!
Which of the following is equivalent equation
Answer:
Option 1 F
Step-by-step explanation:
If all the terms in an equation have a common factor, then you can divide all the terms by that common factor and receive the same answer. In this question, all the terms are divisible by 3 (3, 12 and 6 can all divide by 3) so we can divide them all by 3 while keeping the equation equal, which gives us:
3y/3 = 12x/3 -6/3
y = 4x - 2
Hope this helped!
7x- 8y = -12
-4x + 2y = 3
Answer:
Step-by-step explanation:
7x - 8y = -12
-16x + 8y = 12
-9x = 0
x = 0
-4(0) + 2y = 3
2y = 3
y = 3/2
(0, 3/2)
For each of the following quadrilaterals, Write all the properties that must be true. Four Right angles Only One pair of parallel sides Two pairs of parallel sides All sides congurantParallelogramSquareRhombus
Answer:
Step-by-step explanation:
THE PROPERTIES:
A. Four right angles
B. Only 1 pair of parallel sides
C. Two pairs of parallel sides
D. All sides congruent - all sides having the same shape and size
FOR A PARALLELOGRAM,
Property C applies
FOR A SQUARE,
Properties A, C and D apply
FOR A RHOMBUS,
Properties C and D apply
42 ÷ [15 − (3 + 5)]
help me on this tricky problem
Answer:
6
Step-by-step explanation:
42 / [15 - (3 + 5)]
42 / [15 - 8]
42 / 7
Answer: 6
357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100 b. Employee B: total job benefits $68,400 and total job expenses $300 c. Employee C: total job benefits $68,700 and total job expenses $800 d. Employee D: total job benefits $69,000 and total job expenses $1,000
Answer:
B is the correct answer
Step-by-step explanation:
Answer:
Which of the following employees has the greatest total employee compensation?
a. )) Employee A: total job benefits $68,100 and total job expenses $100
b. )) Employee B: total job benefits $68,400 and total job expenses $300 {{{ CORRECT }}}
c. )) Employee C: total job benefits $68,700 and total job expenses $800
d. )) Employee D: total job benefits $69,000 and total job expenses $1,000
Step-by-step explanation:
Edge 2021
Let the universal set be the set of integers and let A = {x | ≤ 5}. Write A using the roster method.
Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}
Step-by-step explanation:
We have that the set A is the set of all the integers equal to or smaller than 5.
To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:
A = {...
Which means that it continues in that direction.
Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.
A = {..., -1, 0, 1, 2, 3, 4, 5}
And that is the set A in written with the Roster Method
Astronauts who traveled to the moon were able to float slightly as they walked along its surface. Why wee the astronauts able to do this?
Answer:
C.
Step-by-step explanation:
the farther you get from Earth, the less the gravitational force i, so if your in space, you will have more weight next to earth than you will next to the moon.
21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
HELPPP
Answer:
42.25 inches²
Step-by-step explanation:
Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².
Where, s = side length of square
Area of 1 tile = 6.5² = 42.25 square inches.
One tile covers 42.25 square inches.
beginning of Tear Assessment Grade 8 Mathematics
37 OT 42
A rectangular prism and its dimensions are shown in the diagram.
6.5 in.
5 in.
7.5 in.
What is the total surface area of this prism in square inches?
Answer: 237.5 square inches
Step-by-step explanation:
Total surface area of rectangular prism = 2 (lw+wh +hl)
, where l= length
w = width
h= height
Given: A rectangular prism and its dimensions are.
6.5 in. ,5 in. ,7.5 in.
Then, the total surface area of this prism = 2 (6.5×5 + 6.5 × 7.5 + 5×7.5)
= 2 (32.5+ 48.75 + 37.5)
= 2 (118.75)
= 237.5
Hence, the total surface area of this prism = 237.5 square inches
Answer:
237.5
Step-by-step explanation:
took a test
The rectangle below has an area of x^2+11x+28x 2 +11x+28x, squared, plus, 11, x, plus, 28 square meters and a length of x+7x+7x, plus, 7 meters. What expression represents the width of the rectangle?
Answer:
[tex]Width = x + 4[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Area = x^2 + 11x + 28[/tex]
[tex]Length = x + 7[/tex]
Required
Determine the width
For a rectangle:
[tex]Area = Length * Width[/tex]
Substitute values for Length and Area
[tex]x^2 + 11x + 28 = (x + 7) * Width[/tex]
Factorize the expression on the left hand side
[tex]x^2 + 7x + 4x + 28 = (x + 7) * Width[/tex]
[tex]x(x + 7) + 4(x + 7) = (x + 7) * Width[/tex]
[tex](x + 7)(x + 4) = (x + 7) * Width[/tex]
Divide both sides by x + 7
[tex]Width = x + 4[/tex]
How many solutions will there be for a quadratic equation of the form ax2 + bx+c = 0 if the discriminant, b2 - 4ac, is negative?
1.)There will be two complex solutions.
2.)There will be one real solution.
3.)There will be two real solutions.
3.)There will be no solutions.
What is the slope of the line that passes through the points (-6, 8) and (−16,33)? Write your answer in simplest form.
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
[tex]\frac{change in Y}{change in X}[/tex]
plug in points:
[tex]\frac{8-33}{-6+16}[/tex]
[tex]\frac{-25}{10}[/tex]
Simplify:
[tex]-\frac{5}{2}[/tex]
Can you solve the equation 3/4(6x+9)=14 by using the divison property of equality.
Answer:
x=28/9 t- 3/2
Step-by-step explanation:
the sum of three numbers is 116. The first number is 6 more than the third. The second number is 3 times the third. What are the numbers?NEED DONE ASAP
Answer:
107
Step-by-step explanation:
sum means addition so 3 + 6 = 9 116 - 9 = 107 hope it helps <3
Please helps What is the base and the exponent of [tex]7^4[/tex]
Answer:
Base: [tex]7[/tex]
Exponent: [tex]4[/tex]
Step-by-step explanation:
What is the base and the exponent of [tex]7^4[/tex]?
If you want to know the base, you will have to look at the whole number. The whole number is 7. So that means the base is 7. The number on top of the whole number(exponent) is gonna be the exponent. The number 4 is on the exponent. So in that case, the number 4 is the exponent. So the base is 7 and the exponent is 4.
Hope this helps!
Answer:
Base(7)
Exponent(4)
Step-by-step explanation:
A base is always the whole number. In this exponent, the whole number you see is 7. So that means 7 is the base number. The exponent is the small number you see on top of the whole number(base). The exponent on top of the whole number is 4. So the base number is 7 and the exponent is 4.
Hope this helped you a lot!
I don't get it can u please show me how to do it step by step
Step-by-step explanation:
6.)
|x - 6| = 5
x + 6 = 5
x = 5 - 6
x = - 1
7.)
|3x - 7| = 12
3x + 7 = 12
3x = 12 - 7
3x = 5
x = 5/3
8.)
|2x + 9| - 10 = 5
2x + 9 - 10 = 5
2x - 1 = 5
2x = 1 + 5
2x = 6
x = 6/2
x = 3