Answer:
a = -3
b = -8
Step-by-step explanation:
Equation for a line is:
y-coordinate = (slope * x-coordinate) + y-intercept
For (3, -4): -4 = (-2 * 3) + y-intercept
y-intercept = 2
Equation for all points on this line is:
y = -2*x + 2
For (a, 8): 8 = (-2 * a) + 2
For (5, b): b = (-2 * 5) + 2
You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to buy seven of the grab bags.
Answer:
10.5
Step-by-step explanation:
4.50 ÷ 3 = 1.5
1.5 × 7 = 10.5
Answer:
$10.50
Step-by-step explanation:
Divide 4.50 by three. (1.5)
Multiply by 7 (10.5)
I hope this helps!
Plz, marl brainliest!
A game and a controller are on sale for 45% off. The regular price of the game is $80. The regular price of the controller is $120. What is the sale price for the game
The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10
Answer: Van: 10, Bus: 46
Step-by-step explanation:
Let the number of students in each van be represented by v.
Let the number of students in each bus be represented by b.
The question given can be formed into an equation as:
3v + 13b = 628 ...... i
9v + 2b = 182 ......... ii
Multply equation i by 9
Multiply equation ii by 3
27v + 117b = 5652 ........ iii
27v + 6b = 546 ....... iv
Subtract iv from iii
111b = 5106
b = 5106/111
b = 46
Bus = 46
Recall that 9v + 2b = 182
9v + 2(46) = 182
9v + 92 = 182
9v = 182 - 92
9v = 90
v = 90/9
v = 10
Van = 10
If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.
Answer:
x = 6
y = 13
Step-by-step explanation:
since DE and JK are congruent, they are both 18
to find 'y':
3y - 21 = 18
3y = 39
y = 13
DF and JL are diagonals that are congruent so:
9x - 23 = 7x - 11
2x = 12
x = 6
Write an recursive formula for an, the nth term of the sequence 7, 10, 13,
Answer:
What's the nth term for 7,10,13,16? The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.
Step-by-step explanation:
expand the following: 4(2x + 1)
Answer:
the equivalent expression is 8x + 4
Step-by-step explanation:
4(2x + 1) = 4x2 = 8 =
8x + 1 = 4x1 = 4 =
8x + 4
To check your work substitute 1
4(2(1) + 1) = 4(2 + 1) = 4(3) = 12
8(1) + 4 = 8+4 = 12
therefore they are both equivalent
hope this helped!
Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2
A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.
Answer:
y = 40 + 45x
Step-by-step explanation:
Fixed administrative fee for the cleaning and maintenance of the car = $40
rental cost = $45 per day
x = number of days
y = total cost in dollars
y = 40 + 45x
This shows the relationship between the number of days and the total cost of renting a mid-size car.
What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3
AnswerAnswer:
420
Step-by-step explanation:
The volume of the prism is 840 units³ which is correct option (C).
What is volume of prism?The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
Base area (rectangle) of prism = L × W
Base area (rectangle) of prism = 12 × 14
Base area (rectangle) of prism = 168 units²
Height of prism(H) = 5 units
The volume of the prism = B × H
Substitute the values in above formula,
The volume of the prism = 168×5
The volume of the prism = 840 units³
Hence, the volume of the prism is 840 units³.
Learn more about volume of the prism here:
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if an angle is three times of its supplement, find the angle
Answer:
135° angleLet the angle be x it's supplement = (180-x)
x = 3 (180-x)
⇒x=540−3x
⇒4x=540⇒x=135°
Step-by-step explanation:
Hope it is helpful....
Can someone please help me ASAP
Answer:
Look down below!
Step-by-step explanation:
Fist, make your inequality:
-x + 5y > -10
5y > x - 10
y = .2x - 2
Now, plug in any value of x to find y!
Ex: x = 5...
y = .2 (5) - 2
y = -1
Your first coordinate could be (5, -1)
Hope this helps!
Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?
F(x) = 2x + 4
Answer:
sorry need points
Step-by-step explanation:
Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 60n
f(n) = 4 – 55n
f(n) = 4n – 55
f(n) = 60 + 4n
Answer: I don't know/ A. f(n) = 4 + 60n
60+4n=cost. Because the number of children is multiplied by the cost for each child
i would say f(n)=60 +4n but i am probably wrong
Step-by-step explanation: other brainly's
f(n) = 4n + 60...or f(n) = 60 + 4n
f(n)=60+4n that is the correct answer!!!!!!
does this make sense more food less active less weight
Answer:
no
Step-by-step explanation:
because more food less active
so if you eat more food, and you are less active you don't exercise off the weight
So you would gain weight not lose weight
Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
1.9
Step-by-step explanation:
7.6/4= 1.9
1.9*1= 1.9
ans is 1.9 pints
juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.
Answer:
1 - (1/4 + 2/3)
1 - (3/12 + 8/12)
1 - 11/12
1/12 left
If the height of a cylinder is halved, its volume becomes how many times?
Answer:
[tex]volume \: of \: cylinder = \pi {r}^{2} h \\ if \ \: \: h \: \: is \: halved \: then \\ volume = \frac{\pi {r}^{2} h}{2} [/tex]
hope my answer is correct
an anchor line for a tower needs to be replaced the tower is 96ft tall. the anchor line is 105ft long. how far from the tower can it be placed, to the from the nearest tenth
a). 142.3ft
b). 42.5ft
c). 9ft
d). 60 ft
Answer: 42.5ft
Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.
If so, you can use the Pythagorean Theorem.
a^2 + b^ = c^2
96^ + b^2 = 105^2
Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)
Happy to help
At midnight in Minnesota, the temperature was -59. Over the next three hours, the
temperature dropped 7. What was the temperature at 3:00 a.m.?
A-12
B-5°
C -2°
D 2
PLEASE HELP!!!
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Answer:
A. -12°
Step-by-step explanation:
The final value is found by adding the change to the initial value.
final temp = initial temp + change in temp
final temp = -5° + (-7°) = (-5 -7)°
3 am temp = -12°
Answer:
A
Step-by-step explanation:
1. Write the equation: -5-7. We get that equation because we start at -5 and then it drops 7 degrees. "dropped" is the keyword that tells us to subtract.
2. Solve the equation: -12 degrees. You can solve it very easily by plugging it into a calculator or mentally.
P.S: You typed the question wrong, you said 56 degrees instead of 5. That really had me stumbled lol.
MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
I will mark you brainliests help me with this please
Answer:
[tex]G=cos(x) -1[/tex]
X/4=8
Solve that using the opposite operation
Answer:
x = 32
Step-by-step explanation:
4 • (x/4) = 8 • 4
x = 32
Step-by-step explanation:
[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]
[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]
[tex]\qquad\sf\dashrightarrow x=32 [/tex]
Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, and the pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring. Laid end to end, the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth is about 12600 miles every spring. How far does each species travel?
Answer:
Distance travelled by Monarch butterfly = 2000 miles
Distance travelled by desert locust = 2800
Distance travelled by pink-spotted hawk moth= 7800 miles
Step-by-step explanation:
Let the distance travelled by Monarch butterfly be "X" miles
Distance travelled by desert locust is equal to X + 800 miles
Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles
The total distance travelled by the three is equal to 12600 miles
[tex]X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000[/tex]
Distance travelled by Monarch butterfly = 2000 miles
Distance travelled by desert locust = 2000 + 800 = 2800
Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles
what is not a composite number out of 2 4 6 8
Answer:
2
Step-by-step explanation:
2 has the factors 2 and 1 while the others have:
4- 4, 2,1
6- 6, 3, 2, 1
8- 8, 4, 2, 1
Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2
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Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10
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Answer:
86.6 inches
Step-by-step explanation:
The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...
P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches
if 6n = 0, what does n equal?
Answer:
6n=0
n=0/6
n=0
hope it helps.
Answer:
n=0
Step-by-step explanation:
6n is the same of 6×n
∴ 6×0 = 0
5(4x - 1.5x) + 12 = 4x - 2
Answer:
-1.647058824
Step-by-step explanation:
search on googl
Answer:
x=0.6072
Step-by-step explanation:
open bracket
20x-7.5x-4x+12=4x-2
20x-7.5x-4x=-12-2
8.5x=-14
x=0.6072
1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°
If the formula for finding the area of a rectangle is A=bh, then how could you describe the formula for finding the area of a triangle
Answer:
A=LxW
Step-by-step explanation:
Answer:
El perímetro de un triángulo es igual a la suma de sus tres lados.
b x h
2