ANSWER: 47 .....................................................................................................................................................................................
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At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.
Answer the questions to find out which store's apples are the least expensive.
1. What is the unit price of apples at store A? Explain how you found this unit price.
Write your answer in the space below.
2. What is the unit price of apples at store B? How did you use the equation to find the unit price?
Write your answer in the space below.
3. What is the unit price of apples at store C? How did you use the graph to find the unit price?
Write your answer in the space below.
4. Which store has the lowest unit price for apples?
Write your answer in the space below.
Answer:
The unit price is the cost per unit of an item or the cost/price for each item.
1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.
2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.
3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.
4) Store B. Because 2 is less than 3 which is less than 4.
Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answer:
C
Step-by-step explanation:
EDGE2021
PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA
Answer:
b
Step-by-step explanation:
i just took the test
The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.
The correct option is (1).
What are congruent triangles?Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.
here, we have,
As per the given data:
In ΔABC :
∠A = 63°
AC = 2.2
In ΔFED :
∠F = 63°
FE = 2.2
By using the distance formula, we can find AB and FD.
From the coordinates, as we can see in the diagram
FD = 2 units
Similarly,
AB = 2 units
Now from SAS congruence rule:
AB = FD (Both are 2 units)
∠A = ∠F (given)
AC = FE (given)
Hence, ΔABC ≅ ΔFDE by SAS congruence rule.
To learn more about congruent triangles, click:
brainly.com/question/12413243
#SPJ7
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.
Answer:
4/18
Step-by-step explanation:
H
S
45°
299
N
106
E
29°
А A A
Answer:
Can you pls write it straight
Step-by-step explanation:
Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.
Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
The perimeter of a rectangular painting is 348 centimeters. If the width of the painting is 82 centimeters, what is its length?
1 centimeters
Answer:
Step-by-step explanation
Given
The perimeter of a rectangular painting =348 centimeter
the width of the painting=82cm
Solution
Perimeter of the rectangular painting=2(length+width)
2(Length +width)=348
2(Length+82)=348
2l+164=348
2l=348-164
2l=184
Length=184/2
So length =92cm.
Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8
Answer:
x = 0
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Answer:
x = 0
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
20 – 3n > 7n show work
Answer:
n>5
Step-by-step explanation:
move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side
now you have
-3n>7n-20
move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have
4n>20
this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.
n/4>20/4.
you are left with n>5
Answer:
n<2
Step-by-step explanation:
Subtract 20 from both sides 20-3n-20>7n-20
Simplify -3n>7n-20
Subtract 7n from both sides -3n-7n>7n-20-7n
Simplify again -10n>-20
multiply both sides by -1 (-10n)(-1) < (-20)(-1)
Simplify 10n<20
Divide both sides by 10 Then you get your answer
5) y=-2
4x – 3y = 18
This
Answer:
x=3
Step-by-step explanation:
if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18
18-6=12
12/4=3
x=3 I hope you learned something
In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?
Answer:
At most 8 hours
Step-by-step explanation:
Given
[tex]Maximum = -20F[/tex]
[tex]Rate = 6.5/hour[/tex]
[tex]Base\ Temperature =-72F[/tex]
Required
Determine the time taken
Represent time by t.
The relationship between all parameters is:
[tex]Maximum = Base\ Temperature + Rate * t[/tex]
[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]
This is so (≤) because, according to the question, the temperature can not exceed the maximum.
So, we have:
[tex]-72 + 6.5*t \leq -20[/tex]
[tex]-72 + 6.5t \leq -20[/tex]
Collect Like Terms
[tex]6.5t \leq -20 + 72[/tex]
[tex]6.5t \leq 52[/tex]
Solve for t
[tex]t \leq 52/6.5[/tex]
[tex]t \leq 8[/tex]
Hence, they have at most 8 hours
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
Step-by-step explanation:
y=1/2-5x
Answer:
y = -1/3x - 5Step-by-step explanation:
Using points on the graph to get the equation
Slope intercept form:
y = mx + bFrom the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3So the line is:
y = -1/3x - 5A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?
I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?
–5
5
5.25
–5.25
Step-by-step explanation:
The decimal number 5.25 is equal to the fraction 21/4.
Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?
Please help
Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?
Answer:
Step-by-step explanation:
qual é 33⅓% de 108?
What is the graph for f (x)=-2(x-3)2+4
Answer:
hnahnahnahnahhnahnahnahnah
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
I would appreciate if u guys would help me rn.
Answer:
11 is 18.54 ft 12 is 351.86 cm 13 is 109.96 inches
Step-by-step explanation:
Hi... can you tell me is this formula is right or wrong??
Answer:
this formula is right
Madhu bought a washing machine for Rs 13,000. He then sold it for Rs 15,000. He also paid Rs 300 to arrange the delivery of the washing machine at the buyer's house.
How much profit did Madhu make by selling the washing machine?
cost price=1300
selling price=1500
1500_1300=2000
madhu use 300 from his profit so
2000_300=1700
answer=1700
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70
f(-4)=5(2-3(-4)
f(-4)=10+60
f(-4)=70
I participated in a math competition but I did not do very good. Does anybody have some tips?
Please help me I will really appreciate it!!!
Which is the best estimate of 20,168 ÷ 21?
Answer:
Use the algorithm method.
9 6 0
2 1 | 2 0 1 6 8
1 8 9
1 2 6
1 2 6
8
960
Step-by-step explanation:
May I have brainliest plz
Which expressions represent this model? Check all that apply. 4 + 5 4(5) 20 5(4) 05(5
Answer:
4(5), 20, and 5(4)
Step-by-step explanation:
i just did it! have an amazing day
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
Greg earns a salary of $300 per week plus an additional 6% commission on his sales. If his weekly salary increases by $50 and his commission increases to 7% how much will Greg earn if his weekly sales are $4,000?
Answer:
630
Step-by-step explanation:
350+4000(0.07)
350+280
=630
I think this is right