Answer:
7.5 gallons
Step-by-step explanation:
the 50% of 5 gallons is 2.5 then add up 5 gallons so the answer is 7.5 gallons of gas
y= 3/4x + 3 Find the y and x intercept
[tex]y - intercept = 3[/tex]
[tex]x - intercept = - 4[/tex]
the sum of three consecutive even numbers is 42. what is the smallest of these numbers
[tex]\qquad[/tex]____________________
It’s given–
The sum of three consecutive even numbers is 42.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)
The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.[tex]\qquad[/tex]____________________
Given :
Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.[tex] \: [/tex]
Solution :
Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .
So,
According to the Question :
x + (x + 2) + (x + 4) = 42
⇢x + x + 2 + x + 4 = 42
⇢ x + x + x + 2 + 4 = 42
⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12
Hence, 12 is the smallest consecutive even number.
Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year?
Answer:
they all read 52.800 pages in that year
Step-by-step explanation:
320 X 55 = 17.600 pages/person
17.600 X 3 = 52.800 pages
What is the slope of the line?
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
Pick two points on the graph: (4, -5) and (1, -3)
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]
[tex] = \frac{ - 5 + 3}{3} [/tex]
[tex] = - \frac{2}{3} [/tex]
Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?
A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = -3x²
Mathematically, these equations can be represented as
g(x) = -3f(x)
The above equations implies that, we have the transformation to be:
The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axisHence, the transformed function is (d)
Read more about transformation at
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Today is my birthday. My age today, in months, is 72 times my age 5 years ago,
in years. My age today, in years, is
Answer:
Happy Birthday!
Step-by-step explanation:
Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.
Answer:
500=2.75c
Step-by-step explanation:
500= 2.75c
Isolate c by dividing 2.75 on each side
500/2.75 =181.818181818 which is about 181.8
So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.
Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)
Answer:
-36/5
- . 2/5-=+2/5
-36/5+2/5
34/5 or 6 4/5
evaluate the following expression . 2*[4+(12+16)/7
Answer:
16
Step-by-step explanation:
[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]
How many meters are equal to 18 kilometers?
Answer:
18000
Step-by-step explanation:
The number of meters in 18 kilometers is 18,000 meters(m)
How to convert meters to kilometers1900 meter(m) = 1 kilometer(km)x meters = 18 kilometers
x meters = 18 kilometers × 1000
x = 18,000 meters
Therefore, 18 kilometers is equivalent to 18,000 meters
learn more about conversion:
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Multiply. Write the answer in simplest form. 3/7 x 2 5/6
193/42
3×6+25×7÷4218+175÷42193/42clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt
Answer:
Step-by-step explanation:
red/blue = 3/4 and you get blue/green = 4/5
= 60/4 = 15
you have 15 red shirts, 20 blue shirts, and 25 green shirts.
15/20 = 3/4
20/25 = 4/5
if you simplify 15/20, you will see that it is equivalent to 3/4
if you simplify 20/25, you will see that it is equivalent to 4/5.
a store have a 12.7% discount on $2002 furniture. what is the new price
Answer:
$1,747.75
Step-by-step explanation:
(12.7% = 0.127)
$2,002 x 0.127 = 254.25
$2,002 - 254.25 = $1,747.75
A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week
128 Bales of hay
Step-by-step explanation:
Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128
X 2
___
128
2 1/2+x=5 1/3 PLEASE HELP
Answer:
Step-by-step explanation:
2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions
5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6
5*3 + 6x = 16*2
15 + 6x = 32 Subtract 15 from both sides.
6x = 32 - 15
6x = 17 Divide by 6
6x/6 = 17/6
x = 2 5/6
Check
5/2 + 17/6 = 16/3
15/6 + 17/6 = 32/6
32/6 = 32/6 The question checks.
100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh
Answer:
100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?
Step-by-step explanation:
please mark my answer in brainlist plz
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?
Answer:
30
Step-by-step explanation:
references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!
Answer:
See below
Step-by-step explanation:
Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.
Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?
A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept
Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.
Answer: D is Correct on edmentum/plato
Step-by-step explanation:
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answer:
C
Step-by-step explanation:
Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?
Answer:
14
Step-by-step explanation:
14+28=42, 28/14=2
There are 28 girls and 21 boys in a class. What is the ratio, in simplest terms, of the number of girls to the number of boys? (show the work please)
Answer: The simplified ratio is 4:3
Step-by-step explanation:
To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:
28 ÷ 21 = [tex]\frac{28}{21}[/tex]
Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.
A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?
The cart slows that at the rate of 20cm/s between 5 and 15secs
Given the rate function expressed as:
r(t) = 2t + 60
If the time is t = 5
r(5) = 2(5) + 60
r(5) = 70cm/s
If the time is t = 15
r(15) = 2(15) + 60
r(15) = 90cm/s
Taking the difference in rate;
Difference = 90cm.s - 70cm/s
Difference = 20cm/s
Hence the cart slows that at the rate of 20cm/s between 5 and 15secs
Learn more on rate of functions here:
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One bridge in Maryland is 6,946 meters
long. It is 46 times as long as another
nearby bridge. How long is the shorter
bridge? Explain.
Answer:
151 meters
Step-by-step explanation:
6946/46=151 meters
Answer:
Step-by-step explanation:
If you want to be formal, let the shorter bridge = x
46x = 6946 Divide by 46
x = 6946/46
x = 151
So the shorter bridge is 151 meters long.
Sumas y restas de polinomios
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
CAN YOU PLS HELP MEEEE
Answer:
10x−2y
Step-by-step explanation:
Just ask!
Hope this helps. :)
[tex] \: \: \: \: \: \: [/tex]
[tex]10x - 2y[/tex]
Step-by-step explanation:
[tex]8x - 2y + x + x[/tex]
Collect like terms[tex] = \: \: \: \: 10x - 2y[/tex]
hope it helpsThe mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?
Answer:
solution
100 tins of corned beef =36 g
1 tin of corned beef = 36÷100=0.36
so, 1 tin of corned beef is 0.36 g.
Find the measure of the angle marked and indicated in bold