Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
John is going to the store. His house is located 3 miles south and 4 miles east from the
store, as shown below. What is the shortest distance from his house to the store? Explain
your reasoning.
1
3 miles
HA
BE
4 miles
Answer:
im so sorry but i need to finish my challenge
Step-by-step explanation:
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation:
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
solve each equation. 7(x+4)-6(x+3)=x+5
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=
Someone please help me
Answer:
Hundreds is 8, tenths is 5, and thousandths is 1!
Answer:
Hundreds: 8
Tenths: 5
Thousandths: 1
pls help i will give brainliest
Answer:
( -4 , 13 )
Step-by-step explanation:
2 ( -4 ) + ( 13 ) = 5
5 = 5
3 ( 13 ) = 15 - 6 ( -4 )
39 = 39
( -4 , 13 )
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
Find the inequality represented by the graph
Answer:y<3/4x
Step-by-step explanation:
Its proportional
y intercept is 0 which means nothing
slope is 3/4
so
y<3/4x
BTW dotted lines are < not ≤
how many subsset can be obtained from the set A={ m, a ,t ,h}
Answer:
Step-by-step explanation:
{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.
If you found my answer useful then please mark me brainliest.
Find each function value f(-7) if f(x) = 3x + 6
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
Can y'all help meh please!
Answer:
__________________the answer is C _____________
Answer:
C.
Step-by-step explanation:
The y intercept is when x=0
so (0, -7) is the y-intercept
slope is found when you subtract y-y1/x-x1
-10- (-7) / 9-0
-3/9
simplified is -1/3
slope is -1/3 and y intercept is (0, -7)
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Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
How to write the question using the follow sentence#1
Will mark Brainliest
Answer:
7 times 4 = 28
28 + 6 = 34
Step-by-step explanation:
can someone see and answer this
Answer:
D
Step-by-step explanation:
you can rule out answers A through C because the y values never match up to the ones on the table. D shows an increase in y by 4
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
14) Find the slope of the line containing the points (5, 3) and (-7, 2).
A. −52
B. 112
C. -4
D. 12
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts
Find the value of w°
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
Find the rate of discount for a pair of pants that cost $65 and are on sale for $42.25.
Answer:
35%
Step-by-step explanation:
42.25÷65 = .65
1-.65 = .35
the difference of a number t and 9
t-9 or 9-t
what is 5x – 8x + 2 + 5=
Answer: -3x+7
Step-by-step explanation: Good luck! :D
Answer:
-3x+7
Step-by-step explanation:
(5x-8x)+(2+5) Like terms together
(-3)x+7 Combine within each group
-3x+7 Simplify the signs in the product
-3x+7 Is your answer
Hope that helps :)
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answer:
108.16
Step-by-step explanation:
how many feet tall is the building
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
factor the expression -20x - 15
Answer:
−5(4x+3)
Step-by-step explanation:
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
Need the answer pls!!!!!
Answer: the y-intercept would be -3
mark takes a 40 question test for which he receives 2.5 for each correct answer and losses 1 point for each wrong answer. If mark answers all the questions and gets a grade of 65% of the test, what percent of the questions did he answer correctly?
Answer:
he answered 26% correctly
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430