Answer:
Shop A is more expensive by $11.50 per hour
Step-by-step explanation:
I solved this three ways.
1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...
Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours
= $210 +105 = $315 . . . for 6 hours
This is way more than what Shop B charges for 6 hours.
__
2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.
__
3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.
Shop A = $210/(4 h) = $52.50 /h
Shop B = $246/(6 h) = $41.00 /h
The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.
_____
Comments on How Much More
* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.
Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.
If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.
Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.
What is the solution of x^2-1/x^2+5x+4<_0
Answer:
[tex]\frac{x}{(x-1)(x+4)}[/tex]
Step-by-step explanation:
from what i can read and understand the equation is:
[tex]\frac{x^{2-1} }{x^{2+5x+4} }[/tex]
If I'm correct then [tex]\frac{x}{(x-1)(x+4)}[/tex] Would be your answer
And all you have to do is simplify the Expression
Hopefully this Helps
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the drop-down menus to complete the statements below about the paddleboard rentals.
Solution:
Given that,
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours
Each paddleboard rental costs $3.75 per hour
So there are two persons = mike and his friend
1 hour = $ 3.75
Therefore, for 3 hours:
[tex]3 \times 3.75 = 11.25[/tex]
Thus for two person:
11.25 + 11.25 = 22.5
Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours
Remaining amount = 25 - 22.5 = 2.5
Thus Mike has $ 2.5 remaining after rental
Answer:
.
Step-by-step explanation:
What is an equivalent mixed number for 5 2/6
Answer: 32/6
I hope this answer helps!
Answer: 5 1/3
Step-by-step explanation:
Step 1: change to a proper fraction to give 32/6
Step 2: minimize the fraction part by dividing the numerator and denominator by 2
=5 1/3
HELPPPP me this shyt annoying me lol
Answer:
Angle A is 80 degrees
Step-by-step explanation:
In a game that you are playing, your friends says that she has -6 points“give or take”4 points.You currently have -3 points in the game.can you say who is winning?why or why not? Use a number line to explain.
Answer:
Your are losing
Step-by-step explanation:
-6 + 4 = -2 points
-3 = -3
-2 > -3
Answer:
No
Step-by-step explanation:
She has -6 points,
And you have -3
If she takes points from you:
She has -6+4 = -2
You have-3-4 = -7
She wins
If she gives you 4 points:
She had -6-4 = -10
You have -3+4 = 1
You win
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
If John pays for 12 weeks of guitar classes from his account, his account balance will be?
Answer:-47.5
Step-by-step explanation:
Step 1:Find out how much 12 week of guitar is 15*12=180.
Step 2:Subtract 180 from 132.55 132.55-180+-47.5.
Step 3:Answer -47.5.
The number 0.936 rounded to the nearest whole number is
Answer:
1
Step-by-step explanation:
Cause 9 is larger than 5 so the 0 is rounded to one
Answer:
1
Step-by-step explanation:
The digit behind the ones place is a 9, so you would round the number up to 1.
Can I please get Brainliest? I haven’t had it yet AT ALL.
Have a good day!
Riley used this graph to compare two movie-rental plans.
Choose the three statements that are true about the graph.
The 3 statements that are correct about the graph are:
1. "Plan A offers fewer movies than Plan B for monthly costs greater than 20$"
2. "The two plans cost the same for 10 movies per month"
3. "The two plans offer the same number of movies for 20$ a month."
What is the plan about?In terms of the above, the graph shows Plan A's line is consistently lower than Plan B's before the equilibrium point. Hence, statement 1 is true.
From the image, one can locate where Plan A and Plan B intersect on the graph at around 10 movies per month, as both plans cost the same. So when you follow the line to the cost axis, Plan A and Plan B have the same monthly cost so statement 2 is true.
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See text below
PLEASE HELP ME ASAP!!!!!
Riley used this graph to compare two movie-rental plans.
Choose the three statements that are true about the graph
Plan A offers fewer movies than Plan B for monthly
costs greater than $20.
Plan A costs more than Plan B for fewer than 10
movies per month
The two plans cost the same for 20 movies per
month.
Monthly Cost (5)
Plan A
(10,20)
Plan B
Number of Movies Rented
Plan A costs less than Plan B for fewer than 20
movies per month.
The two plans cost the same for 10 movies per
month.
The two plans offer the same number of movies for
$20 a month
You have a field 250 feet wide and 325 feet long planted in strawberries. How many acres of strawberries are in this field?
Answer: 81,250
Step-by-step explanation: find the area. Multiply the length x width. I got 81,250 by multiplying these numbers.
A field that is 250 feet wide and 325 feet long, can be calculated as 81,250 square feet. Since one acre equals 43,560 square feet, this field's size is approximately 1.87 acres.
Explanation:The question is about converting a field measure in feet into acres. Given that the field is 250 feet wide and 325 feet long, the total area in feet is found by multiplying these two dimensions. Thus, the total area is 250 * 325 = 81,250 square feet.
Now, to convert this into acres, we should know that 1 acre is equal to 43,560 square feet. So, to calculate how many acres is 81,250 square feet, we divide 81,250 by 43,560.
This gives 1.87 acres (rounded to two decimal places). So, this field's size, planted with strawberries, is approximately 1.87 acres.
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150% of 48 as a percent
Answer:
72, 150%
Step-by-step explanation:
The answer for this is 72.
Change 150 to 1.50 and multiply it by 48
cos ■ = 7/14
A. 39°
B. 30°
C. 26.57°
D. 60°
Option D:
[tex]$\cos60^\circ=\frac{7}{14}[/tex]
Solution:
Given data:
[tex]$\cos -- = \frac{7}{14}[/tex]
Let the unknown degree be x.
To find the degree x:
[tex]$\cos x = \frac{7}{14}[/tex]
Cancel the common factor 7 in the numerator and denominator.
[tex]$\cos x = \frac{1}{2}[/tex]
Using trigonometry basic formula,
we know that [tex]\cos60^\circ = \frac{1}{2}[/tex].
So, x = 60°.
The unknown degree measure is 60°.
[tex]$\cos 60^\circ= \frac{7}{14}[/tex]
Hence option D is the correct answer.
5,680 divided by 80 with the remainder division by 2-digits
The quotient of 5,680 divided by 80 with a remainder division by a 2-digit number is 71 with a remainder of 1 and 15/25.
Explanation:When dividing 5,680 by 80, we get a quotient of 71 and a remainder of 40. Now, we divide the remainder by a 2-digit number. Let's say the 2-digit number is 25. When we divide 40 by 25, we get a quotient of 1 and a remainder of 15. Therefore, the final quotient is 71 with a remainder of 1 and 15/25.
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A spherical ball has a radius of 1.5 in. Find the exact and approximate volumes of the ball. Use 3.14 for π and round to the nearest hundredth to find the approximate volume.
Enter your answers in the boxes.
Answer:
V = 14.14in^3
Step-by-step explanation:
Use the formula V = 3/4πr^2 to get the volume of a sphere
Substitute r for 1.5 in
V = 3/4π(1.5)^2
V = 14.137166941154in^3
Round to the nearest hundredth to find the approximate volume
V = 14.14in^3
A circle has a diameter of 40 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi .
Group of answer choices
D. 1133.5 in.
A. 31.4 in.
C. 283.4 in.
B. 62.8 in.
Answer: something is wrong circumference is solved by pi times the diameter or pi times the radius times 2
40 x 3.14 = 125.6
Step-by-step explanation:
Sorry man
Final answer:
The circumference of a circle with a diameter of 40 inches using 3.14 for pi is 125.6 inches, rounded to the nearest tenth.
Explanation:
The student's question is asking for the circumference of a circle with a given diameter using 3.14 for π (Pi). According to the relationship between the diameter and the circumference of a circle, the circumference (C) can be found by multiplying the diameter (d) by π. The formula for the circumference is thus C = πd.
In this case, the diameter is given as 40 inches. Therefore, we calculate the circumference as follows:
C = πdC = 3.14 × 40 inC = 125.6 inSince we are asked to round to the nearest tenth, the circumference of the circle is 125.6 inches.
(5xy+x-2) + (x-2xy+9)
Type a coefficient with integer coefficients and a leading coefficient of 1. Zeros: -3,-1,1,5; degree:4
Answer:
I may not be right, because I didn't get the context of the question, but my answer is:
[tex]y=x^{4}+8x^{3}+14x^{2}-8x-15[/tex]
On which of the following lines does the point 7, 1 lie?
A. Y-5x = 4
B. Y = x- 10
C. Y = -4x +3
D. Y= -x +8
Answer:
the answer is D
Step-by-step explanation:
x is 7 and y is 1 . just replace the x and y with 7 and 1 , so its 1= -7+8
Answer: y=-x+8
Step-by-step explanation: When 1 is plugged in as x for another equation, y is not equal to 7. However, when you plug 1 in here, you get y equal to 7. Therefore, this is the solution.
What is the area around the fence if it’s 6 around and 7 length
Answer:
42
Step-by-step explanation:
The formula for area is length multiplied by width
7 X 6 = 42
hope this helps :)
what is the product of the rational expressions shown below ? make sure your answer is in reduced form
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{x+2}{x-5}[/tex] × [tex]\frac{8x}{x+2}[/tex] ← cancel the common factor x + 2 on the numerator/ denominator
= [tex]\frac{8x}{x-5}[/tex] → D
The sum of a number and its square is 182. Find the number.
Answer:
13 and -14 satisfy this condition
Step-by-step explanation:
Let's represent that number as x
and the square of x is x^2
So,
x + x^2 = 182
Subtract 182 from both sides
x + x^2 - 182 = 182 - 182
x + x^2 - 182 = 0
rearrange the quadratic equation
x^2 + x -182 = 0
let's use the quadratic formula
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1, b = 1, c = -182
[tex]\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}[/tex] or [tex]\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]
[tex]\frac{-1+\sqrt{1+728} }{2}[/tex] or [tex]\frac{-1-\sqrt{1+728} }{2}[/tex]
[tex]\frac{-1+\sqrt{729} }{2}[/tex] or [tex]\frac{-1-\sqrt{729} }{2}[/tex]
[tex]\frac{-1+{27} }{2}[/tex] or [tex]\frac{-1-{27} }{2}[/tex]
[tex]\frac{26}{2}[/tex] or [tex]\frac{-28}{2}[/tex]
13 or - 14
Lets check
13 + 13^2 = 13 + 169
= 182
Also,
-14 + (-14^2) = -14 + 196
= 182
Find the area of each circle. Use 3.14 forp
12 cm,
The area of the circle is 113.04 cm²
Step-by-step explanation:
The given information are,
The diameter of the circle = 12 cmThe diameter must be converted into radius.Radius = diameter / 2
Radius = 12/2 = 6 cm
Now, the formula for area of the circle is given by πr²
where,
r is the radius of the circle.π has the default value 3.14To calculate the area of circle :
Substitute r=6 and π=3.14,
Area of the circle = (3.14) × (6²)
⇒ 3.14 × 36
⇒ 113.04 cm²
The area of the circle is 113.04 cm²
Answer:
113.04 cm²
Step-by-step explanation:
A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?
Here we know the following data:
A fire hydrant 2.5 feet high casts a 5 foot shadow. A street light that casts a 26 foot shadowSo we want to know the height of the street light. Below you have the representation of this problem. We can solve this using proportions because triangles ABC and DEF are similar, so:
[tex]\frac{h}{26}=\frac{2.5}{5} \\ \\ \frac{h}{26}=\frac{1}{2} \\ \\ h=26\times\frac{1}{2} \\ \\ h=13[/tex]
Finally, the height of the street light is 13 ft
Find the answer to
SHOW YOUR WORK!
(pls help with dis)
-2x – 6 = -6x – 2
Answer:
x = 1
Step-by-step explanation:
For this type of equation, you want to combine all like terms. So you can combine the x and the constants. So
-2x - 6 = -6x - 2
+6x +6x
---------------------------
4x - 6 = -2
+6 +6
-----------------
4x = 4
4 multiplied by what number is 4? well 1 so x = 1
adam wants to know the mean number of minutes students commuting back and forth to school each day. he selects a sample of 5 students using the random digit table beginning on line 12 shown.
Line 12: 29621 66583 62966 12468 20345 14015 04014 35713 03980 03024
A. What is the sample size?
B. Adam assigns each student a two digit number beginning with 12 and ending with 30. Which students are chosen for the sample?
Answer:
A. 5
B. 29, 16, 24, 20, and 15
Step-by-step explanation:
The sample size is 5.
Each student is assigned a two digit number, so split the random digit table into two digit numbers.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24
Identify the first 5 unique numbers between 12 and 30.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24
Write an equation in slope intercept form for the line with slope 1/5 and y intercept -2
Equation is y = 1/5x - 2
Step-by-step explanation:
Step 1: Given slope, m = 1/5 and y-intercept, b = -2. Write the equation in slope intercept form which is y = mx + b⇒ y = 1/5x + (-2)
∴ y = 1/5x - 2
Find the output, f , when the output, t , is 7. f=-2t-3
Answer:
-17
Step-by-step explanation:
You replace the t with 7 making the equation , f=-2(7)-3. Using PEMDAS, you solve -2 x 7 making it -14. Finally, subtract -3 from -14 making it -17.
A carrot has 5 grams of sugar per serving.
A banana has 15 grams of sugar per serving.
Which statement is true?
CLEAR CHECK
There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.
For an equal number of servings, the bananas will always have 10 more grams of sugar.
For an equal number of servings, the bananas will have three times as much sugar.
The amount of sugar in two servings of carrots is 30 grams.
Answer:
C. For an equal number of servings, the bananas will have three times as much sugar.
Step-by-step explanation:
This is because the amount of sugar will change proportionally with the number of servings, so the ratio of sugar in bananas and in carrots will stay the same as long as the serving size is equal. For example, three servings of bananas would have 45 grams of sugar and 3 servings of carrots would have 15 grams of sugar. If you divide these you will still get a ratio of 1/3, which makes this statement true. Hope this helps! :)
Can you help me with this problem
7y-2(8y+1)=4
Answer:
y=-2/3
7y-16y-2=4
7y-16y=6
-9y=6
-y=6/9
simplify
y=-2/3
what is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake.
Answer: M=3.7
Step-by-step explanation:
Circle O has a circumference of 36π. What is the length of the radius, r? 6cm 18cm 36cm 72cm
Answer:
The exact radius is 17.99 but I guess you can round it to get 18cm.
Step-by-step explanation:
Next time if you still get these questions, you can use a online calculator to help you!