Answer:
7.14
Step-by-step explanation:
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
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What is the discriminant of the quadratic equation 9x^2+5x-9=0
Answer:
Δ = 349
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
9x² + 5x - 9 = 0 ← is in standard form
with a = 9, b = 5 , c = - 9 , then
b² - 4ac
= 5² - (4 × 9 × - 9)
= 25 - (- 324)
= 25 + 324
= 349
HELPPP ASAP
A:60
B:75
C:10
D:30
Answer:
look at the photo...............A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.
What is the cylinder volume?The formula for the volume of a cylinder is seen as:
V = πr²h
where
V = volume
r = radius of the base
h = height of the cylinder.
Then by Substituting the given values, we will have:
V = π(10m)²(18m)
= π(100m²)(18m)
= 18000π cubic meters
To be able to find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:
V ≈ 18000 × 3.14
= 56520 cubic meters
Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.
Learn more about cylinder from
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#SPJ1
Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101
-PLEASE HELP IM FR HALF ASLEEP-
Answer:
y = 14
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
Step-by-step explanation:
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
7y=98
y=14
Answer: 14
Step-by-step explanation:
First you do 3 - 3 which cancels each other out.
2nd step :
you do 101 - 3 which equals 98
3rd step :
Divide 98 by 7 and your final answer is 14 !! <3
Please help it’s so hard for me
Answer:
Answer is d
Step-by-step explanation:
I need assistance on this question please
X-3y=24
Answer:
x = -24 + 3y
Step-by-step explanation:
Help needed! Please and thanks
Answer:
8.125 inches
Step-by-step explanation:
Ok so basically what you needed to do was this
Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5
Then you will do
3.25 x 2.5 and get your answer
8.125
There you go! Have a Wonderful Day
Which graph has exactly one y-intercept
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
4/5 x 2/35 I need help pls!
Answer: 8/175
Step-by-step explanation:
Answer: 8/175
Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.
4x2=8
35x5=175
3 feet + 7 inches = ___ inches
Answer:
10
because when you plus 3+7 is 10
Hey can someone please help me in this question?
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
what is the pathgoren therem
Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui
Answer:
m
Step-by-step explanation:
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old
Answer:
It would be 2 times the old perimeter.
Which is equivalent to the expression below?
5(x + 5)
Group of answer choices
x + 25
5x + 25
5x + 10
x + 10
Answer:
The answer is 5x + 25
Explanation:
Apply distribution
distribute 5 to the equation inside the parenthesis
5x + 5 × 5
5x + 25
he directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables Which brand would Cala need more of to fertilize her vegetables? Explain
Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.
Feed - All Fertilizer :
2 pounds = 100 foot row
x pounds = 450 foot row
Cross multiply
100x = 900
Divide both sides by 100
x = 900 / 100
x = 9 pounds
Grow better Fertilizer :
25 pounds = 1000 foot rows
x pounds = 450 foot rows
Cross multiply
1000x = 450 × 25
1000x = 11250
Divide both sides by 1000
x = 11250 / 1000
x = 11.25 pounds
Hence, Cala will need more of Grow better Fertilizer.
Learn more : https://brainly.com/question/25677544
A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)
Answer:
1
Step-by-step explanation:
If the plane goes 250 per HOUR, then it will take that one hour to get to 250
5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
x - 4y = 8 ( subtract x from both sides )
- 4y = - x + 8 ( divide through by - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Since the slopes are not equal the lines are not parallel
- 4 × [tex]\frac{1}{4}[/tex] = - 1
Then the lines are perpendicular
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
If Rick buys a remote control car for $33.00, what is his selling price?
Answer:
a
Step-by-step explanation:
Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?
Answer:
1. 1+6
2. 2+5
3. 3+4
4. 4+3
5. 5+2
6. 1+6
Step-by-step explanation:
Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answer: 3
Step-by-step explanation:
There are 24 students
1 student = 250 ml
24 students = 250ml x 24
= 6000 ml
To convert from millilitres to litres, divide by 1000
6000ml = 6000/1000l = 6 litres
2litres = 1 bottle
6 litres = 6/2 = 3 bottles
Therefore, she will need 3 2-litre bottles of soda
Answer:
The answer is 3
Step-by-step explanation:
10. What is the value of c?
Answer:
VALUE OF C = SUCK IT BRO
Step-by-step explanation:
Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________
Answer:
Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.
Step-by-step explanation:
y = mx+b, where y and x are variables and m is the slope and b is the y-intercept
Hope that helps
Jemina has 4 dogs, 8 cats and 12 fish as pets at her house.
What is the ratio of cats to all of her pets?
Answer:
8:16
Step-by-step explanation:
Please help, will mark brainliest!!! :D
btw, you can just answer in A B C D; A is upper left, B is upper right, C is lower left, D is lower right.
THANK YOUUUUUUUUUUUUU
Answer:
D because that the only that make sense
Step-by-step explanation: