Answer:
1.75
Step-by-step explanation:
First I converted
8 3/4 to 8.75
then I divided
8.75 / 5
= 1.75
The team ran 1.75 miles each day if they ran the same distance each day.
What is the division operation?
In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A track team ran 8 and 3/4 miles (mi) in 5 days.
To find out how far the track team ran in one day, you need to divide the total distance run by the number of days.
8 and 3/4 miles = 8.75 miles (by converting mixed numbers to decimal)
total distance = 8.75 miles / 5 days
Apply the division operation, and we get
total distance = 1.75 miles/day
Therefore, the team ran 1.75 miles each day.
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Find the inverse: f(x) = 4 + 4/5 x.
Answer:
f−1(x)=5x4−5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
PLEASE HELPPPP!!
Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?
A: (x,y) (x+6,+6)
B:(x,y) (-x,y)
C: (x,y) (6x,6y)
D: (x,y) (-y,x)
Answer:
qwsedfgh
Step-by-step explanation:
What is the unit price of 12 gallons of gasoline that costs $39.48 ?
The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
How to determine the unit price?The given parameters are:
Gallons = 12
Cost = $39.48
The unit price is calculated as:
Unit = Cost/Gallon
So, we have:
Unit = $39.48/12
Divide
Unit = $3.29
Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
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Jennifer wants to buy a new television set that regularly sells for $900. Because she works at the store, Jennifer will receive an employee discount of 30% off the regular price, but she will have to pay 6% sales tax on the adjusted price. What will be Jennifer's final cost to buy the television?
Answer:
$667.80
Step-by-step explanation:
30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80
Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B
Answer:
A if i'm not mistaking
Step-by-step explanation:
Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?
Answer:
44%
Step-by-step explanation:
40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%
help!! how do i solve this and what is the answer??
Answer:
Yes you got it right.
Step-by-step explanation:
x= -7/4
x= -1 3/4, x= -1.75
Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
I need help ._. Can u plz help me?
Answer:
#3
Step-by-step explanation:
I NEED HELP W 36
pls pls pls pls help help!
Answer:
1
Step-by-step explanation:
When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.
Use the Distributive Property to write an equivalent expression. 20 + 24g A. 4 (5 + 6g) B. 20 (1 + 4g) C. 5 (4 + 6g)
Answer:
A.
Step-by-step explanation:
4(5+6g)
4*5+4*6g
20+24g
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
The given expression is 20+24g.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression can be simplified as follows:
20+24g
= 4(5+6g)
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
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List the number from greatest to least 3/2, 0.75,-24,-3/2
Answer:
3/2, 0.75,-3/2, -24
Step-by-step explanation:
I think that's the answer
Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing
Answer:
436.8 x 100 / 62.08 x 100 = 43680/6208
Step-by-step explanation:
When you write the problem as a fraction, multiply the numerator and denominator by 100. Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.
If i=sqr-1, what is the value of i^3?
-1
i
1
-i
Answer:
After solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
If [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]
Solving:
[tex]i=\sqrt{-1}[/tex]
Taking cube on both sides
[tex]i^3=(\sqrt{-1})^3\\[/tex]
We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:
[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]
So, after solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?
Answer:
6.28 or 7
Step-by-step explanation:
you have to time pie x inches
pie x inches
3.14 x 2
=6.28 rounded up 7
FAST!!!
Which graph shows the point M(3, 5)?
5
M
4
4
3
3
M
2
2
1
1
A
B
1
3
2
4
0
5 X
0
1
4
2
5 X
3
5
4
4
3
3
2
N
M M
1
M
4
3
0
1
2
5 X
4
3
0 1 2
5 X
Answer:
graph A is the answer because the M is at the 3 and it move up 5
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
Solve for the variable 4-14=5x
Answer:
X = 2
Step-by-step explanation:
4-14=5x
10=5x
10/5=5x/5
2=x
Answer: x = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
4−14=5x
Step 1: Simplify both sides of the equation.
4−14=5x
4+−14=5x
(4+−14)=5x
(Combine Like Terms)
−10=5x
−10=5x
Step 2: Flip the equation.
5x=−10
Step 3: Divide both sides by 5.
5x/5=−10/5
x=−2
Which number line correctly shows -3-(1.5)
A square has a side that is 5 meters long. What is the diagonal length of the square?
Answer:
5 meters
Step-by-step explanation:
a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters
Over 10 days it snowed 80 inches, how much did it snow in 1 day?
Answer:
8
Step-by-step explanation:
Answer:
0.125
Step-by-step explanation:
2500 + 110h < 3000 can you pls answer this
Answer:
4.5454545454545454. . .
Step-by-step explanation:
Original equation:
2500 + 110h < 3000
Subtract 2500 from both sides
110h < 500
Divide both sides by 110
h < 4.5 (rounded to the nearest tenth)
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As an estimation we are told 5 miles is 8km Convert 4 km to miles
Answer: 2.5
Step-by-step explanation:
For this problem, we see that 4km is 1/2 of 8km.
So, we will have to find 1/2 of 5km.
1/2 of 5km = 2.5km
Your answer is 2.5km
Answer:
2.48548 Miles or simplified 2.5
Step-by-step explanation:
You Divide by 1.609 to find the answer.
(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
In a classroom, for every 8 girls there are 5 boys. What is the ratio of boys to girls?
Answer:
5:8
Step-by-step explanation:
Answer:
8 to 5
Step-by-step explanation:
The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need
Answer:
5.44 gallons of paint
Step-by-step explanation:
First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.
Area=(length*width)4
Area=(12*8.5)4
Area=(102ft^2)4
Area=408ft^2
Therefore, the total area of the walls is 408ft^2.
Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.
408/75
=5.44 gallons
Therefore, we would need 5.44 gallons of paint to paint the four walls.
I hope this helps!
Which is the graph of f(x) = 2(3)x
plz help me out if you can
Answer:
D $26
Step-by-step explanation: