Please help
Leila will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.08 per mile driven
Answers
9514 1404 393
Answer:
260 miles$73.80Step-by-step explanation:
The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).
First Plan: y = 40 +0.13x
Second Plan: y = 53 +0.08x
__
We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:
(y) -(y) = (40 +0.13x) -(53 +0.08x)
0 = -13 +0.05x
Multiplying by 20 gives ...
0 = -260 +x
Adding 260, we have ...
x = 260
The plans cost the same for 260 miles of driving.
__
The cost of the plans for that distance is ...
y = 40 +0.13x = 40 +0.13(260) = 40 +33.80
y = 73.80
The cost when the two plans cost the same is $73.80.
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Step-by-step explanation:
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Step-by-step explanation:
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Calculator
A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3
1
2
3
4
5
Answers
Answer:
91.125 in³
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Eli is following this recipe to bake bread rolls.
He uses 400 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
480 g flour
12 g salt
9 g yeast
45 mL oil
300 ml water
Answers
Answer:
640g flour
16g salt
12g yeast
60ml oil
Step-by-step explanation:
300 x (4/3) = 400
so multiply all by 4/3
Find the difference: (11x2+2x+16) – (2x2+x+2)
Answers
Answer:
im a little confused so i hope this is right
Step-by-step explanation
(11*2+2x+16)= 38+2x
(2*2+x+2)= 6+x
38+2x-6+x= 32+x ??
38-6=32
2x-x= x or 2x+x=3x
Please help it due asap
Helppppppp
Answers
Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
GBF = CBD (opposite angle)
; 2x+x+3x = 180° (Size of straight angle)
6x = 180
x = 180÷6
x = 30°
substitution x in 2x ; 2×30 = 60°
substitution x in 3x ; 3×30 = 90°
hope it helps ☺️
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Answer:
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Step-by-step explanation:
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Answer:
log b (xy) = log b (x) + log b (y)Step-by-step explanation:
Log of the product is equal to the sum of the logs
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Answers
Answer:
735 cm²
Step-by-step explanation:
The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.
The other part of the figure will be a square of sides 21 cm by 21 cm
Area of the square section
Area = l²
Area = 21* 21 = 441 cm²
Area of the triangle using Heron's formula
Sides of the triangle are ;
a= 28 cm
c= 35 cm
b = 21 cm -----height of the trapezium
The Heron's formula is given as;
[tex]A=\sqrt{s( s-a)(s-b )(s-c )}[/tex]
where s is half the perimeter of the triangle
Perimeter of the triangle is given as ;
P= 35 + 28 + 21 =84 cm
s= 84/2 = 42 cm
[tex]A=\sqrt{42*(42-21 )*(42-35 )*(42-28 )} \\\\A=\sqrt{42*(21 )*(7 )*( 14)} \\\\A=\sqrt{86436} \\\\A=294\\\\[/tex]
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Answer:
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Step-by-step explanation:
Determine the solutions to the following equation.
(x - 4)^2 = 81
A) x = -5 and 13
B) x = -4 and 9
C) x = -13 and 5
D) x = -9 and 4
Answers
Hope this helps :)
Answer:
A- -5 and 13
Which of the following lists of numbers is closed under division?
O Rational Numbers
O Whole Numbers
O Natural Numbers
O Irrational Numbers
Answers
Answer:
The set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined) because if you complete any of these operations on rational numbers, the solution is always a rational number
Step-by-step explanation:
Rational Numbers closed under division
What are rational numbers?Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers is a rational number.
Given:
we have to find the Numbers closed under division
Whole numbers are not closed under division because denominator can't be equal to 0.
Similarly, Natural Numbers and Irrational Numbers are not closed under division.
Since the result of any of these operations on rational numbers is always a rational number, the set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined).
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Answers
Answer:
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Step-by-step explanation:
sorry if im wrong
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Answers
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Answer:- 975 quarts of Ice cream is prepared in 13 hours.
Step-by-step explanation:
If 375 quarts of ice cream is made in 5 hours
then in 1 hour quantity of ice cream prepared is = 375/5=75
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The following graph shows the sales records of four employees over a period of six months.
A graph titled Sales has month on the x-axis and sales (dollars times 1,000) on the y-axis. Mary: Starts at 6.4 and ends at 8.6. Lewis: starts at 5.5 and ends at 6.9. Todd: Starts at 4.6 and ends at 3.3. Paige: Starts at 7.1 and ends at 7.1.
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a.
Mary
b.
Lewis
c.
Todd
d.
Paige
Answers
Answer: D Paige
Step-by-step explanation:
Took the test
The employee who experienced the single greatest decline in sales between two months is Paige.
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A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
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Mary: Starts at 6.4 and ends at 8.6.
Lewis starts at 5.5 and ends at 6.9.
Todd: Starts at 4.6 and ends at 3.3.
Paige: Starts at 7.1 and ends at 7.1.
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Step-by-step explanation:
WILL GIVE BRAINLIEST IF RIGHT
The graph below shows the relationship between the number of miles traveled and the time.
Which statement about the unit rate of the graph is true?
A. The unit rate is 1.
B. The unit rate is 30.
C. The unit rate is 1/12.
D. The unit rate is 12.
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Answer:
I think c
Step-by-step explanation:
When y=1 x=12
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Step-by-step explanation:
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Answer:
x + 8*19
Step-by-step explanation:
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If P is the incenter of triangle JKL, find the measure of JKP.
Answers
Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
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Given m ||n, find the value of x.
(7X+9)
(9x+5)°
Answers
Answer:
x = 2Step-by-step explanation:
(7x + 9)° is corresponding angle to (9x + 5)° angle
Therefore:
m║n ⇒ (7x + 9)° = (9x + 5)°
(7x)° + 9° = (9x)° + 5° {subtract (7x)° from both sides}
9° = (2x)° + 5° {subtract 5° from both sides}
4° = (2x)° {divide both sides by 2°}
x = 2
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro
Answers
Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]
Percentage = [tex]\frac{25}{75}*100[/tex]
Percentage = 33.33%
Hence,
Absolute error = $25
Given that € 1 = £0.72
b) What is the £ to € exchange rate?
Answers
I can’t type the symbols rn but here’s the answer