Answer:
(1, -3) is a solution to the system of equations ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = -3 ⇒ (1)
∵ 3x - y = 6 ⇒ (2)
→ Subtract equation (2) from equation (1)
∵ (3x - 3x) + (2y - -y) = (-3 - 6)
∴ (0) + (2y + y) = (-9)
∴ 3y = -9
→ Divide both sides by 3 to find y
∴ y = -3
→ Substitute the value of y in equation (2) to find x
∵ 3x - (-3) = 6
∴ 3x + 3 = 6
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = 6 - 3
∴ 3x = 3
→ Divide both sides by 3 to find x
∴ x = 1
To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right
∵ 3x + 2y = -3
∵ 3(1) + 2(-3) = -3
∴ 3 - 6 = -3
∴ -3 = -3
→ The two sides of the equation are equal
∵ 3x - y = 6
∵ 3(1) - (-3) = 6
∴ 3 + 3 = 6
∴ 6 = 6
→ The two sides of the equation are equal
∴ The solution satisfies the two equations
∴ (1, -3) is a solution to the system
Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.
If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?
Answer:
$12.65
Step-by-step explanation:
Given that the wall is 23 feet long and 8 feet high.
As the wall is rectangular, so the area of the wall,
A=23x8=184 square feet.
As a gallon of paint costs $11 and covers 320 square feet of area, so
Cost of paint for 1 square foot area = $ 11/320 per square foot.
Cost for 1 coat of paint = $ (11/320)x184
Cost for 2 coat of paint = $ (11/320)x184x2= $ 12.65
Hence, cost requires for 2 coats of paint is $ 12.65.
Find the product (у- 2)(5у2 + 3y - 1)
Answer:
5y^3 - 7y^2 - 97y + 2 <<<< Answer
Step-by-step explanation:
(у- 2)(5у2 + 3y - 1)
Multiply the three terms by y
5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y
Multiply the three terms by - 2
-2*5y^2 -2*3y - 2*-1
-10y^2 - 6y + 2
Now combine the like terms
5y^3 + 3y^2 - 10y^2 - y - 6y + 2
5y^3 - 7y^2 - 97y + 2
**FIRST CORRECT ANSWER GETS BRAINLEST**
y varies directly as x, and y = 0.5 when x = 0.4.
A.) y = 4/5 x
B.) y = 0.1 x
C.) y = 5/4 x
D.) y = 0.9 x
Answer:
C.) y = 5/4 x
Step-by-step explanation:
5/4 multiplied by 0.4 is 0.5
please answer this. thank you
Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?
Answer:
[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Step-by-step explanation:
b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]
Area of one triangle
[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]
There are 4 colored triangles so total area of the triangles is
[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]
The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?
Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
What is Sara's number?
Sara's number is |
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28
4x-y= -2
2х + Зу = 13
Answer:
x = 1/2
y = 4
Step-by-step explanation:
4x - y = -2 --------------------(I)
2x + 3y = 13 --------------------(II)
Multiply equation (I) by 3 and then add
(I)*3 12x - 3y = -6
(II) 2x + 3y = 13 {Now add and so y will be eliminated}
14x = 7
x = 7/14
x = 1/2
Plugin x = 1/2 in equation (I)
[tex]4*\frac{1}{2}-y = -2[/tex]
2 - y = -2
-y = -2 - 2
-y = -4
y = 4
Answer:
x=1/2
y=4
Step-by-step explanation:
4x-y=-2
-y=-4x-2
y=4x+2
2x+3y=13
2x+3(4x+2)=13
2x+12x+6=13
14x=7
x=1/2
y=4x+2
y=4(1/2)+2
y=2+2
Y=4
Olivia got a 72% on her quiz, there are 25 questions how many did she get right and how many did she get right
Answer:
18
Step-by-step explanation:
72% of 25 is 18.
Hope this helped! :)
What are the names of three collinear points?
Can someone do this please
what is the answer to 2.6=-0.2t
Answer:
-13
Step-by-step explanation:
Answer:
t = -13
Step-by-step explanation:
2.6 = -0.2t Equation
2.6 / -0.2 . = -0.2t/-0.2 Divide -0.2 on both sides
t = - 13 Simplify
if hector ran 35.5 kilometers last week and 22.5 kilometers this week how many meters did he run over the last two weeks
Answer:
58000m
Step-by-step explanation:
he ran 35.5km+22.5km=58km
58km(1000m/km)=58000m
HELP PLEASE!
a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft
a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s
I'm pretty sure its c
because 5280x65=343200
and 343200/60 is 5720
Answer: It’s 95 ft/s
Step-by-step explanation:
quiz
Solve for x. assume that lines which appear to be diameters are actual diameters.
Answer:
x=10
Step-by-step explanation:
5x+17 = 67
The angles are vertical angles which means they are equal. This means the arc lengths are equal
5x+17-17 = 67-17
5x = 50
5x/5 = 50/5
x =10
What is the solution to the system graphed below?
Answer:
I'm pretty sure it is (2,0)
In November mr.Lee’s students read 50 books. In December they read 40 books what is the percent increase or decrease in the number of books they read?
Answer:
percentage decrease,20%
Step-by-step explanation:
50_40 books=,10 bus
10|50 ×100%=20%
Answer:
decrease 20% trust me i got it right
Step-by-step explanation:
PLEASE HELP ME HURRY
2/5 of the class is male
40% of the class is male
3/5 of the class is female
60% of the class is female
Not sure if this is right, but this is what I got.
Miguel wants to have at least $500 in his account to spend over the summer. He already has $150. If he deposits $25 each week, write and solve an inequality to determine how many weeks it will take him to reach at least $500.
Answer:
listen to the other guy
or girl
Step-by-step explanation:
It will take at least 14 weeks to have at least $500.
What is inequality?The relation between two unequal expressions is defined as inequality.
Given that, the person has $150 in his account and he deposits $25 each week into this account.
The amount in the account after w weeks is:
150 + 25w
Let the amount in the account after w weeks is at least $500, then it follows:
150 + 25w ≥ 500
25w ≥ 500 - 150
25w ≥ 350
w ≥ 14
Hence, it will take at least 14 weeks to have at least $500.
To learn more about inequalities, click here:
https://brainly.com/question/28823603
#SPJ2
Put the following numbers in order from least to greatest.
0.52
0.6
14/25
57%
Answer:
57% 0.52 14/25 0.6
Step-by-step explanation:
all you have to do is change all of the numbers into decimals
hope this helps :)
First, convert each to the same (#/#, 0.#, or #%). I'll use decimals (usually the easiest). 0.52 and 0.6 remain the same. 14/25 may seem hard at first, but you can change it to 56/100 (14*4/25*4=56/100), then you can use that to convert to 56%. Multiply by 0.01, or divide by 100, remove the %, and you will get 0.56. For 57%, you just need to do repeat the last step again, which will give you 0.57. From least to greatest, the list would be 0.52, 0.56, 0.57, and 0.6, or 0.52, 14/25, 57%, and 0.6.
HELP MEEE PLEASEEEEE!!!!! I NEED HELPPP!!
Which the ordered pair that is a solution of the system for linear equations?
Answer:
(2,2)
Step-by-step explanation:
Lets check:
(2,2)
2(2)-2=2 Correct !
2=-2+4 correct !
Hope this helps plz hit the crown :D
Answer:
i believe the answers (2,2)
Step-by-step explanation:
if you add it in for y and x you will see it right
what is 574 ÷ 82 my math say use compatible numbers to round first then awnser the actual queston
Answer: 7 explanation:574[tex]%[/tex]%82=7 7x82=574
Answer:
compatible answer= 7.5
Real answer: 7
Step-by-step explanation:
Quick I need the answer
Answer:
x = 25!
Hope This Helps!
please show work
23 lbs of onions cist $250.70. How much will 50 lbs cost
Answer:
$545.00
Step-by-step explanation:
250.7 / 23 = 10.9
$10.9 is the cost of every lb of onions.
Then we multiply 10.9 by 50 because there are 50 lbs. like this
10.9 * 50 = 545
So $545.00 is our answer.
What’s the equation?
Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite
Answer:
21 minutes
Step-by-step explanation:
Using the formula to calculate the time expressed as;
Speed = Distance/Time
Given:
Distance = 7/8 miles
Speed = 2 1/2 mi/hr
Required
Time in minutes
Substitute the given values into the formula;
Recall that:
S = D/T
T = D/S
Time = 7/8 ÷ 2 1/2
Time = 7/8 ÷ 5/2
Time = 7/8 * 2/5
Time = 7/4 * 1/5
Time = 7/20 hour
Since 1 hour = 60 minutes
7/20 hour = (7/20 * 60)minutes
7/20 hour = 7 * 3
7/20 hour = 21 minutes
Therefore it will take them 21 minutes to get to the campsite
Mai earns $7 an hour mowing lawns. Her friend Priya earns $8.50 an hour. If Mai started with $15, how many hours will it take both friends to make the same amount of money?
7x+15=8.5x
x=10
Standard form:
−3
2
x + 15 = 0
Factorization:
−3
2
(x − 10) = 0
Solutions:
x = 30
3
= 10
Aida applied the distributive property to write the equivalent expressions below.
15 + 21 = 3 (4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
Answer:
The answer is b
Step-by-step explanation:
Answer:
Aida's error was B
Step-by-step explanation:
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?
Answer:
There's no options
Step-by-step explanation:
Answer:
Options please
Step-by-step explanation: