Answer: Gordon:16
Henry: 24
Sarah:1
Step-by-step explanation:
Add up the ratios and divide 48 by 6(added up ratios) and you get 8. Multiply that by individual ratios.
Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week 4, Maggie's rate was 60 steps per minute. What is the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4?
Answer: 60%
Step-by-step explanation:
Given: Climbing rate at the end of week 1 = 25 steps per minute.
Climbing rate at the end of week 4 = 60 steps per minute
The percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 will be :
[tex]\dfrac{\text{Climbing rate after week 4 - Climbing rate after of week 1}}{\text{Climbing rate after week 1}}\times100[/tex]
[tex]=\dfrac{40-25}{25}\times100\\\\=\dfrac{15}{25}\times100=15\times4=60\%[/tex]
Hence, the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%
a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?
Answer:
80.5 kilometers/h
Step-by-step explanation:
S=80.5km/h
D644
T8 hours
The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.
What is the average speed?
Average speed is the total distance travelled per time. It is used to determine the total distance per time.
Average speed = total distance / total time
644 / 8 = 80.50 km/h.
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There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)
Answer:
196 students are going on the field trip
Step-by-step explanation:
Y = 98% * 200
Converting percent to decimal:
p = 98%/100 = 0.98
Y = 0.98 * 200
Y = 196
I hope this helps
Given the following function, find f(-4), f(0), and f(4).
f(x) = x + 2
f(-4)=
f(0) =
f(4)=
Answer:
-2, 2, 6
Step-by-step explanation:
f(-4)= -4+2=-2
f(0)=0+2=2
f(4)=4+2=6
Substitute x for the number in parentheses
The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function f(x) = x + 2
To find the value of f(-4):
Plug x = -4 in the function:
f(-4) = -4 + 2 = -2
To find the value of f(0):
Plug x = 0 in the function:
f(0) = 0 + 2 = 2
To find the value of f(4):
Plug x = 4 in the function:
f(4) = 4 + 2 = 6
Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
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perform the operation (9x^2+7x-6)-(3x^2-8x+7)
Answer:
6x^2 + 15x - 13
Step-by-step explanation:
Combine Like Terms
9x^2 - 3x^2 = 6x^2
7x - (-8x) = 15x
-6 - 7 = 13
Write Equation
6x^2 + 15x - 13
I’ll give brainliest I need help
Answer:
1, -1, -3, 3
Step-by-step explanation:
f(x) = 2x-1
f(1)=2*1-1 = 2-1 = 1
f(0) = 2*0 - 1 = -1
f(-1) = 2* -1 -1 = -2-1 = -3
f(2) = 2 * 2 -1 = 4-1 =3
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.
Answer:
The tanks by volume per fish from least to greatest:
Tank C, Tank A, Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Order the tanks by volume per fish from least to greatest.
Tank A holds 40 L and 5 fish.
= 40L/5 fishes
= 8 volume per fish
Tank B holds 100 L and 12 fish
= 100L/12 fishes
= 8.3333333333 volume per fish
Tank C holds 180 L and 23 fish.
= 180L /23 fish
= 7.8260869565 volume per fish
The tanks by volume per fish from least to greatest
Tank C, Tank A, Tank B
Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?
Answer:
Step-by-step explanation:
find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer
I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?
Answer:
your numnber is 15
Step-by-step explanation:
3x-3=n
nx=90
nx=90
(3x-3)x=90
3x^2-3x=90
x=6
3x-3=n
3(6)-3=n
18-3=n
15=n
15 - 5k ≥ 0
solve the inequality
The solution is, the value of the inequality is, 3 ≥ k.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
15 - 5k ≥ 0
now, we get,
Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign
3 - k ≥ 0
adding k on both side,
3 ≥ k
Final Answer : 3 ≥ k
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What is the reciprocal of 6 1/5
Answer:
0.16129032258 or maybe just 0.161
Step-by-step explanation:
determine 3,000,000,000 is how may times the value of 15,000,000 in standard form and scientific notation.
Answer:
200 times and 2x10^2
Step-by-step explanation:
I hope this helps ( ps love the Killua Profile pic !)
solve b
3b / 7-1 = 5
Answer:
b= 2 over 7
Step-by-step explanation:
exact form b= 2 over 7
decimal form b= 0.285714
Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?
Answer:
7 quarts of punch
Step-by-step explanation:
62/8 is 7.75,
Help! I already tried -6.6/20
Answer: 0.33 or 1.32 or 6.6%
Step-by-step explanation:
A________is a_________ in which a figure is enlarged or reduced
Answer:
Center of Dilation
Step-by-step explanation:
in a dilation, the fixed point about which the figure is enlarged or reduced
HELP ME ASAP PLEASE AHHHH
Answer:
A
Step-by-step explanation:
Answer:
-7.5
Step-by-step explanation:
Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...
Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...
A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].
Therefore the answer is -7.5.
Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.
What was her Mistake?
She Mixed Up the slope and the y-intercept.
She got the sign of the slope wrong.
She git the sign of the y-intercept wrong.
She found reciprocals of the slope and the y-intercept.
ASAP Please Right Answer
Answer:
She got the sign of the slope wrong
Step-by-step explanation:
She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.
Please mark brainliest if this helped you!
Answer:
she got the sign of slope wrong
Step-by-step explanation:
took test on edg
T-shirts cost $4.50 each and shorts cost $6.You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts
How much are you going to spend on shorts?
Answer:
$54
Step-by-step explanation:
WHO CAN HELP ME ITS DUE IN 5 minutes!
A line passes through the point (-10, 2) and has a slope of 1/2
Write an equation in slope-intercept form for this line.
We have to find b first: 3 = -3/2(10)+b3 = -15+b18 = bNow right the equation, your slope will be the same one....Y = -3/2x + 18
More
Express 48 as a product of its primes.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^
please answers soon and answer correctly.
What is the answer to a+2/2 in two step equation?
Answer:
No its not be smartfjfkdnxnfnfn
(b) Factorise fully.
10x²+6x
Answer:
2x(5x + 3)
Step-by-step explanation:
Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.
Note the factors of both 10 & 6:
10: 1 , 2 , 5, 10
6: 1 , 2 , 3, 6
Note that the greatest factor shared is 2. Divide 2 and x out from both terms:
(10x² + 6x)/2x = 5x + 3
2x(5x + 3) is your answer.
~
Soren is flying a kite on the beach the String forms a 45 angle with the ground if he has let our 16 made of line how high above the ground is the kite
Answer:
Hope the picture helps
Step-by-step explanation:
Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.
Answer:
gdgdgdgdgddggddggdgddggd
Step-by-step explanation:
find the slope of the line
Answer:
[tex]m=2[/tex]
General Formulas and Concepts:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define points
(-2, 2)
(0, 6)
Step 2: Find slope
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{6-2}{0-(-2)}[/tex]
[tex]m=\frac{4}{0+2}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]m=2[/tex]
The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
Width of the rectangle = 6.325 units
Length of the rectangle = 12.65 units
Side length of the square the 6.325 units.
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 80 square units.
The area of the rectangle = Length × Width
Length = 2W
80 square units = 2W × W
80 = 2W²
W² = 80/2
W² = 40
W = √40
Width of the rectangle = 6.3245553203 units
Approximately = 6.325 units
Length = 2 × Width
= 2 × 6.325
= 12.65 units
• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square?
We you divide a rectangle into 2 squares,
The length is divided into two.
Hence, the length of the rectangle = 12.65 units
12.65 units ÷ 2 = 6.325 units.
Hence, the side length of the square the 6.325 units.
A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?
Answer:
4 mins
Step-by-step explanation:
The time taken by the rocket to reach the ground is 8 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The toy rocket is launched from a platform
The height of the platform = 12 feet
The initial velocity of the rocket = 128 feet / second
Let the height of the launch be = h
Let the time taken by the rocket be = t
The height after the launch after t seconds is given by the equation
h ( t ) = -16t² + 128t + 12
Now , for the rocket to reach the ground , the equation will be
h ( t ) = -16t² + 128t
Since , it is launched from the 12 foot platform , the equation will be
h ( t ) = -16t² + 128t
The height of the rocket on reaching the ground h ( t ) = 0
Substituting the value of h ( t ) in the equation , we get
h ( t ) = -16t² + 128t
0 = -16t² + 128t
16t² - 128t = 0
16t ( t - 8 ) = 0
t - 8 = 0
Adding 8 on both sides , we get
t = 8 seconds
Hence , the time taken by the rocket to reach the ground is 8 seconds
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a- b for
for a= (-7) and b = 30
Answer:
-37
Step-by-step explanation:
-7-30
=-37
You are adding the negatives therefore, you will get a larger number of negatives.