Answers
Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Represent the time the Hill family and the Moore family use the sprinkler with H and M.
So, the total time is:
[tex]H + M = 60[/tex]
And the rate is:
[tex]25H + 20M = 1325[/tex]
Make H the subject in [tex]H + M = 60[/tex]
[tex]H= 60 - M[/tex]
Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]
[tex]25(60 - M) + 20M = 1325[/tex]
Open brackets
[tex]1500 - 25M + 20M = 1325[/tex]
Collect like terms
[tex]- 25M + 20M = 1325 - 1500[/tex]
[tex]- 5M = -175[/tex]
Divide both sides by -5
[tex]M = 35[/tex]
Recall that:
[tex]H= 60 - M[/tex]
So, we have:
[tex]H = 60 - 35[/tex]
[tex]H = 25[/tex]
Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Read more about system of equations at:
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Related Questions
A parallelogram and some of its
dimensions are shown below.
2
15 in.
T
hin.
The area of the parallelogram is
90 square inches. What is h, the height
in inches of the parallelogram?
A.
6
B.
8
C. 10
D. 12
Which of the following expressions
3
Answers
Answer:
8?
Step-by-step explanation:
i am not sure
90➗15=6
so that A is the correct answer
Which inequality is graphed below
Answers
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $18,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $9,000 down payment be? Their down payment is enter your response here% of the purchase price. (Type a whole number.) A $9,000 down payment would be enter your response here% of the purchase price. (Type a whole number.)
Answers
Answer:
$180,000 is 10% $9,000 is 5%
Step-by-step explanation:
To solve for this, you would set up a ratio and cross-multiply.
$18,000/$180,000 = x%/100%
(18,000)(100) = 180,000x
1,800,000 = 180,000x
10 = x
9,000/180,000 = x/100
900,000 = 180,000x
5 = x
OR
$18,000 ÷ 2 = $9,000
10% ÷ 2 = 5%
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answers
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
Please Help Question In Picture
Answers
Answer:
A
Step-by-step explanation:
Since Angle XYZ is equal to Angle YZX,
XY=XZ
The two triangles are congruent.So,
VW=YZ
XY=UV
XZ=UW
Thus;
XY=UV
XZ=UW
XZ=XY=UV=UW
So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm
Basket A had 7 times as many plums as Basket B at first. Zoe put 58 more plums in each basket. Now Basket A has thrice as many plums as Basket B. How many more plums are there in Basket A than Basket B now?
Answers
Answer:
174 plums
Step-by-step explanation:
a=7b
a+58=3b
7b+58=3b
4b=58
b=14.5
29,203 earlier
87,261 now
261-87=174
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.
Answers
Answer:
1/36.
Step-by-step explanation:
She gets 1 on the first dice and 1 on the second.
This is the only way Sarah can get a sum of 2.
The total possible outcomes is 6*6 = 36.
So the required probability is 1/36.
What is an equivalent expression to 7x - 3y + 8x ?
Pls look at the image that I uploaded
Answers
Answer:
15x - 3y
Explaination:
Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.
I hope this helps you.
the state of California keeps track of how many millions of students are learning English as a second language each year: English Learners are shown in millions in the table.
find an equation for the median fit line
Answers
Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?
0.22
0.45
0.50
0.78
Answers
Answer: D) 0.78
Step-by-step explanation:
Add all the given probabilities to find the answer:
45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78
Which of these actions would decrease heat transfer between two objects?
increasing the temperature of the warmer object
increasing the area of their contact
reducing the thermal energy of the cooler object
reducing the time of their contact
(Fr ran out of free answers)
Answers
Answer:
increasing the area of their contact
Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?
Answers
Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark ( 1 ) as the fraction bar if necessary.
10
(-4,8).
(-6,-4)
Answer here
Answers
Answer:
slope = 6
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line
m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6
The slope of the line given in the task content is; m = 6.
What is the slope of the line?The slope of the line is the rate of change of the dependent variable with respect to the independent variable.
On this note, the slope of the equation is;
Slope, m = (-4-8)/(-6-(-4))
m = -12/-2
m = 6.
Read more on slope;
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Which number line correctly shows 4.5 – 2.5?
a) A number line going from 0 to 4.5 in increments of 0.5. An arrow goes from 0 to 4.5 and then backwards from 4.5 to 2.
b) A number line going from negative 4.5 to 0 in increments of 0.5. An arrow goes from negative 4.5 to negative 2 and then backwards from 0 to negative 4.5.
c) A number line going from negative 2.5 to positive 4.5 in increments of 0.5. An arrow goes from negative 2.5 to 0 and also from 0 to 4.5.
d) A number line going from negative 4.5 to positive 2.5 in increments of 0.5. An arrow goes from 2.5 to 0 and from 0 to negative 4.5.
Answers
Answer:
its A i think
Step-by-step explanation:
Hope this helps!
PLEASE HELP!!!!!!!!!!!!!
Answers
8+(-3)+15-(-40)
8-3+15+40
5+15+40
20+40
60
solve the equation 5x+x-7=4x-2-x
Answers
Answer:
[tex]x=\frac{5}{3}[/tex]
Step-by-step explanation:
Brainliest pls?
lowest common factor of 6 and 12
Answers
Answer:
36
Step-by-step explanation:
It's so obvious lollllll
Answer:
36
Step-by-step explanation:
WHICH PROPERTY IS BEING USED IN THE FOLLOWING?
15 × 1 = 15
Answers
Answer:
This is the Idenity Property
Step-by-step explanation:
The Identity Property for multiplication states that anything times 1 is the same number.
3x1=3, and 8192x1=8192 (Do you play 2048?)
The zero property: Anything multiplied by zero is zero.
1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.
The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.
(6 x 7) x 78 is the same as 6 x (7 x 78)
The commutative property: When you switch the order of numbers, you get the same answer.
256 x 32 is the same as 32 x 256
3x+12-6x less than or equal to -9
Answers
Answer:
less than, it is the answer
Please HELP!!!
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
_,_,_, and _
Answers
Answer:
- 3, 1, 5, 9
Step-by-step explanation:
The first 4 terms are the values of y corresponding to x = 1, 2, 3, 4 , that is
(1, - 3 ) , (2, 1 ) , (3, 5 ) , (4, 9 )
first 4 terms are - 3, 1, 5, 9
2=2m−7 SOLVE FOR M PLS AND THANK YOU
Answers
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
Answer:
m=4.5
Step-by-step explanation: First, add 7 to each side and you get 9=2m. divide each side by 2 and you get m=4.5
If ALMN = AXYZ, which congruences are true by CPCTC? Check all that
apply.
Answers
Answer:
A C E
Step-by-step explanation:
these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.
The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
What is CPCTC?CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.
More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.
Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ
Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
Learn more about CPCTC here:
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At the end of the day, a bakery had 6/7 of a pie left over. Louie, Duey and Huey split the pie, with each taking home the same amount of leftover pie. How much pie did Louie take home?
Answers
because 2/7 * 3 = 6/7
Answer:
2/7 of the pie
Step-by-step explanation:
6/7 / 3 = 2/7
Each box of candy canes has 12 candy canes. How much does each candy cane cost?
Answers
Based on the information given, the cost of each candy cane will be $3.00.
This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.
From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:
= $36 / 12
= $3.
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An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?
Answers
Answer: so Miguel payed $33
steps:
1. first find what 40% of $55 which gives us $22
2. Final Price = Original Price - Discount
Final Price = 55 - 22
Final Price = $33.00
Order the side lengths from least to greatest.
Answers
Answer:
38, 40, and 102
Step-by-step explanation:
when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102
What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answers
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. Astronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.
Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Answers
Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In which [tex]a \in [1, 10)[/tex]To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.In this problem, 1 AU = 150,000,000 km.
The comma has to move 8 places to the right, hence [tex]b = 8[/tex]Then, the measure is: [tex]1.5 \times 10^8[/tex]
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Find the measure of the missing angles. 99° e f d
Answers
Answer:
e = 99 , d = 90 , f = 81
Step-by-step explanation:
Answer:
81º
Step-by-step explanation:
Notice that angle f and 99º form a straight line. A straight line is 180º, so angle f = 180º - 99º = 81º.
They are similar or not similar and why?
Answers
Answer:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
please consider brainliest <3
Answer:
Step-by-step explanation:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
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