The graph shows the amount of money paid when purchasing bags of candy at the zoo:A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy?
$2
$4
$0
$6
Answers
Answer:
$2 because the x axis is bags of candy 1 and the y axis is the cost 2 therefore 1 bag of candy cost $2 and 2 bags of candy cost $4
Answer:
A ($2)
Step-by-step explanation: i got 100% on test
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Derrick earned 1472 during the 4 weeks he had his summer job. If he earned the same amount each week, how much did he earn each week?
Two problems here- 1) Find the total cost to the nearest cent, $100 dinner; 20% gratuity 2) Find the total cost to the nearest cent, 12300 car; 5% sales tax
One bag holds 12 bolts.Several bags filled with bolts are packed into a box and shipped to the factory. The box contains a total amount of 2,760 bolts. How many bags of bolts are in the box?
Answers
Answer:
C x = 4096
Step-by-step explanation:
log8 x = 4
Raise each side to the base of 8
8^ log 8 (x) = 8^4
x = 8^4
x = 4096
where x represents the car's speed in miles per hour. Determine the fuel economy
when the car is traveling 40, 50, and 60 miles per hour.
Answers
Answer:
a) 29.50 miles per gallon b) 29.87 miles per gallon c) 28.19 miles per gallon
Step-by-step explanation:
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056x^4 - 0.000018x^3 - 0.016x^2 + 1.38x - 0.38
where x represents the car speed in miles per hour.
when x = 40 miles per hour
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(40)^4 - 0.000018(40)^3 - 0.016(40)^2 + 1.38(40) - 0.38 = 1.4336 - 1.152 - 25.6 + 55.2 - 0.38 = 29.50 miles per gallon
Similarly,
when x = 50
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(50)^4 - 0.000018(50)^3 - 0.016(50)^2 + 1.38(50) - 0.38 = 3.5 - 2.25 - 40 + 69 - 0.38 = 29.87 miles per gallon
Similarly,
when x = 60
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(60)^4 - 0.000018(60)^3 - 0.016(60)^2 + 1.38(60) - 0.38 = 7.26 - 3.89 - 57.6 + 82.8 - 0.38 = 28.19 miles per gallon
Answers
Determine the area, in square meters, of the new rectangular garden.
Answers
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= a² + 0.25·a²
= 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(a - 3)
1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
Therefore, the equation that could be used to determine the length of a side of the original square garden is:
2a² - 6a = 1.25a²
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Answers
It is to be noted that 171 divided by 9 equals 19. This is a division prompt.
How to compute the above
19
___________
9 | 171
- 9
-----
81
- 81
-----
0
Therefore, 171 divided by 9 equals 19.
Note that division is a mathematical operation that involves dividing a number (the dividend) by another number (the divisor) to find the quotient.
The quotient represents the result or answer obtained from dividing the dividend into equal parts determined by the divisor.
Learn more about division at:
#SPJ6
9/171
-9
➖➖
81
-81
➖➖
00
The answer would be 19
I tried my best to show my work.
y 5 10 15 20
A.
1
B.
2
C.
3
D.
5
Answers
Answer:
Option D - 5
Step-by-step explanation:
Given : Table
x 1 2 3 4
y 5 10 15 20
To find : The constant of variation for the relationship shown in the following table?
Solution :
The constant of variation means the relationship between variables does not change.
The constant of variation for an equation is , where k is the constant of variation.
Now, We have given the value of x and y substitute in the formula,
x=1,y=5
x=2,y=10
x=3,y=15
x=4,y=20
Therefore, The constant of variation is 5.
So, Option D is correct.
Formula: k = y/x
5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5