the function that represents Talia's earnings for driving ℎ hours is E(ℎ) = 34ℎ + 50.
To find Talia's earnings for driving ℎ hours, we need to add her daily pay to the amount she earns for her bonus.
Her daily pay is given by the function P(ℎ) = 25ℎ + 50.
Her bonus earnings for picking up passengers is given by the function B(ℎ) = 45ℎ * 0.20.
To find her total earnings, we add her daily pay and bonus earnings:
E(ℎ) = P(ℎ) + B(ℎ)
= 25ℎ + 50 + 45ℎ * 0.20
= 25ℎ + 50 + 9ℎ
= 34ℎ + 50.
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Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.
Step-by-step explanation:
Given
diameter (d) = 9 ft
radius (r) = 9/2 = 4.5 ft
Area of the circle
= πr²
= 3.14 * ( 4.5) ²
= 3.14 * 20.25
= 63.585
= 63.59 ft
Hope it will help :)
can you guys help me out
Answer:
a. S = 3n + 2
b. There while be 62 squares.
Step-by-step explanation:
We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?
8 - 5 = 3
11 - 8 = 3
14 - 11 = 3
We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.
To find the 20th term of this sequence, substitute n for 20 and do the operations.
S = 3(20) + 2
Multiply 3 by 20, then add 2.
S = 62
The 20th term will have 62 squares.
Scientists have found fewer fossils of plants than of animal bones. Why do you think this is?(You may state your opinion!)
Evaluate the expression when a=−15 and b=−5.
hat would -
A divided by b = ?
be?
Answer:
3Step-by-step explanation:
Given the following values a=−15 and b=−5.
We are to find a/b
a/b = -15/-5
a/b = 15/3
a/b = 5*3/5*1
a/b = 5/5 * 3
a/b = 1*3
a/b = 3
Hence a divided b will be 3
Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5
1 9/26
Convert any mixed numbers to fractions.
Then your initial equation becomes:
7/2÷13/5
Applying the fractions formula for division,=7×5
2×13
=35/26
Simplifying 35/26, the answer is...35/26=1 9/26
Answer:
1 [tex]\frac{9}{26}[/tex]
Step-by-step explanation:
Given
3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions
= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{35}{26}[/tex]
= 1 [tex]\frac{9}{26}[/tex]
how do you work out this problem?
Answer:
7 meters long
Step-by-step explanation:
Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)
Answer:
1080
Step-by-step explanation:
540x2/ or 540 + 540
Select the correct answer,
What is the value of x?
log3 x = 4
A.27
В.7
С.12
D. 81
Answer:
D. 81
Step-by-step explanation:
Raise
3
to the power of
4
.
81
=
x
Rewrite the equation as
x
=
81
.
x
=
81
What is the rate of change of
the function when x=-1 and
x = 1?
A
A. 2
B. 4
C. -2
D. -4
0.
Answer:
c!!!!!!!!!!!!!!!!!!!
40 is 8% of what number?
Answer:
500
Step-by-step explanation:
40×100÷8=500
Number 40 is 8 percent of 500.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition to the shorthand "pct," which is used less frequently, the symbol "%" is used to indicate that a number is a percentage.
Let the unknown number be "x" whose 8% is 40.
Hence,
8% of x = 40
1% of x = 40/8 = 5
Thus, the value of x = 500
Therefore, 8 percent of 500 if 40.
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How do I know if it is sss, sad, asa, or aas?
i have attached a image which may help u <3
olve for x: 3(x + 1) = −2(x − 1) + 6.
Which point is the intersection of RS and VT?
Answer:
point U
Step-by-step explanation:
I learned this before
Hope this helps
List the possible rational roots of the equation. 0 = 22x4 - x2 + 121
Answer:
22×4=88÷2=44+121=165
Answer:
±1
±1/2
±1/11
±1/22
±11
±11/2
±121
±121/2
Claire borrows money from a bank. She has to pay a $50 fee for borrowing money and $0.55 every day until the money is paid back. Which function below represents this situation?
A f(x) = 50 +0.55x
B f(x) = 50x +0.55
C f(x) = 55 +0.50x
D f(x) = 55x +0.50
Answer:
The correct answer is A)
Step-by-step explanation:
8123 divided by 7 please help!
Plz help on BOTH of the questions
Answer:
4.30000x(1+3%)x10%=$3090
5. 20x1.5x2.1=63
Step-by-step explanation:
-8a^2+40a=
this is a factoring question
Answer:
-8a(a-5)
Step-by-step explanation:
-8a^2+40a
-8a(a-5)
whats 667453x765678-543
Answer:
511054077591
Step-by-step explanation:
Answer:
511,054,077,591
Step-by-step explanation:
Is this an actual question tho?
How do you find the original price from a coupon or discount?
Answer: ,GJHGFHJGJH HJGLHGLKG HKLGKL G LKJKJLGKJGKGKJKKJ K
Step-by-step explanation:
A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.
Answer:
Step-by-step explanation:
Distance=7cm/1yrx1000yr=
9514 1404 393
Answer:
70 m
Step-by-step explanation:
Perhaps you want to evaluate the expression:
[tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]
__
There are 100 cm in 1 m. The units of yr cancel.
Which scenario best matches the inequality x greater than 3 ?
Answer:
d
Step-by-step explanation:
i got an 100 on the test :)
2.) Find the value of n in the equation 1/2(n+4) = 6 *
Answer:
2
Step-by-step explanation:
4. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function shown in the graph.
A. y = 2x - 2
B. y = -2x + 2
C. y = 1/2x - 2
D. y = -x + 2
Answer:
The answer is A (y = 2x - 2)
Step-by-step explanation:
B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.
Answer:
y = -x+2
Step-by-step explanation:
For first one
3. Plot the points and then answer the questions:
(1, -3) (-3, 9) (2,-6)
a. Is this a proportional relationship?
b. What is the constant of proportionality?
Please help !!
Answer:
a. yes there is a proportional relationship
b. I believe the constant is -3
Write an equivalent expression by distributing the "
−−" sign outside the parentheses:
−(3h−2.3k)−7
Answer:
= -3h + 2.3k -7
Step-by-step explanation:
you want to distribute your negative to each value in parentheses
remember that negative x negative = positive
remember that negative x positive = negative
Parallel or perpendicular
HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
About 1,130.4 Cubic Feet
(My previous answer was a mistake. It has now been corrected)
Step-by-step explanation:
The Volume of a cylinder = Height * Pi * Radius^2
The radius is half the diameter, so 12 ÷ 2 = 6
Pi rounded to the hundredth place is 3.14.
Volume = 10 * 3.14 * 6^2 = 1,130.4
Therefore the Volume is about 1,130.4 cubic feet.
Answer:
Exact Volume = 360pi cubic feet
Approximate Volume = 1130.4 cubic feet
The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.
===========================================================
Explanation:
The volume of a cylinder is found by the formula
V = pi*r^2*h
where,
pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ftSo,
V = pi*r^2*h
V = pi*6^2*10
V = pi*36*10
V = pi*360
V = 360pi ........... exact volume in terms of pi
V = 360*3.14
V = 1130.4 ......... approximate volume if you use pi = 3.14
The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).
In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree
Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
[tex] = \tt100 - 40 + 24[/tex]
[tex] = \tt 100 - 64[/tex]
[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
[tex] = \tt36 \% \: of \: x = 72[/tex]
[tex] = \tt \frac{36}{100} \times x = 72[/tex]
[tex] = \tt \frac{36 \times x}{100} = 72[/tex]
[tex] = \tt \frac{36x}{100} = 72[/tex]
[tex] = \tt 36x = 72 \times 100[/tex]
[tex] = \tt36x = 7200[/tex]
[tex] = \tt x = \frac{7200}{36} [/tex]
[tex] \color{plum} = \tt \: x = 200[/tex]
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
[tex] = \tt40 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{40}{100} \times 200[/tex]
[tex] = \tt \frac{40 \times 200}{100} [/tex]
[tex] = \tt \frac{8000}{100} [/tex]
[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
[tex] = \tt24 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{24}{100} \times 200 [/tex]
[tex] = \tt \frac{24 \times 200}{100} [/tex]
[tex] = \tt \frac{4800}{100} [/tex]
[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, the total number of leaves on the tree = 200
The number of leaves is on the tree is 200.
Given that,
There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.Now as per the above explanation:
The percentage of half yellow trees should be= 100 - 40 + 24
= 100 - 64
= 36
Here we assume the number of leaves on the tree be x
So,
36% of x = 72
x = 200
Therefore we can conclude that the number of leaves is on the tree is 200.
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