Step-by-step explanation:
the inverse function simply calculate the original x it of a given y. so, we need to transform the original function to calculate x instead of y.
and then, at the end to make it a formally correct function definition, we rename x to y and y to x.
y = x + 3
x = y - 3
=> to make it a formally correct function definition
y = x - 3 = h(x)
Simplify fraction 17/51=
Answer:
17/51 simplified in lowest terms is 1/3
Step-by-step explanation:
Answer:
Exact from: 1/3
Decimal form: 0.3
So I Reduce the expression, if possible, by cancelling the common factors and simplify 17/51
You and your friends Jose and Sarah all live on the same street. You know that Jose lives 7 blocks away from you. Jose says that Sarah lives 6 blocks from him, but he didn't say whether she lives closer to you than he does or further. Let represent the number of blocks from you that Sarah might live.
Answer:
farthur
Step-by-step explanation:
Which is 3,200 divided by 40?
A.
6
B.
8
C.
60
D.
80
Answer:
80
Step-by-step explanation:
40 x 80 = 3200
The solution of the expression is, 80
We have to give that,
3200 divided by 40.
Now, Divide the numbers as,
⇒ 3200 ÷ 40
⇒ 3200 / 40
⇒ 320/4
⇒ 80
So, The solution after dividing is, 80
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Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Estimates are used to make prediction about an actual value
Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimationThe chart is given as:
Fruit Cost Estimated
Apple $1.75/pound 8.75
Orange $2.35/pound 9.40
Banana $1.50/pound 4.50
The number of pounds of each fruit Annie bought are:
[tex]Apples= 5[/tex]
[tex]Orange = 4[/tex]
[tex]Banana = 3[/tex]
(a) The estimated amount
To do this, we make use of the estimated column.
So, we have:
[tex]Estimated = \sum Cost \times Pounds[/tex]
[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]
Approximate the prices
[tex]Estimated =2*5+9*4+2*3[/tex]
[tex]Estimated =52[/tex]
Hence, Annie estimated spending $52
(b) The actual amount spent
To do this, we make use of the cost column.
So, we have:
[tex]Actual = \sum Cost \times Pounds[/tex]
[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]
[tex]Actual =48.25[/tex]
Hence, Annie actually spent $48.25
(c) The decision
By comparison, the estimated spending is greater than the actual amount spent.
Hence, your estimation is an overestimation
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The cost of bananas varies directly with their weight. Miguel bought
3 1/2 pounds of bananas for $1.12. Write an equation that relates the cost of the bananas
to their weight. Then find the cost of 4 1/4 pounds of bananas
y= k x
c= k p
1.12 = k(3.5)
0.32 = k
y = 0.32x or c = 0.32p
y = 0.32x
y = 0.32(4.25)
y = $1.36
5339 x 6 and explain
32,034
Step-by-step explanation:
5,339
6 ×
32,034
9 × 6 = 54 write 4, remainder 53 × 6 = 18 plus 5 = 23 write 3, remainder 23 × 6 = 18 plus 2 = 20 write 0, remainder 25 × 6 = 30 plus 2 = 32A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. Each suit has 13 cards.
Count the number of ways in which four cards, each of a different face value, can be chosen.
Answer: 17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
What is 12 14/15 ( an mixed number) as a decimal.
answer: 11.2
explanation:
Can someone help……….
Jacob said the product of 89 and 234 is 314.
How can you tell that his answer is wrong?
The product of 89 and 234 is 20826, not 314.
How to infer the correctness of a product
The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:
[tex]89 \times 234[/tex] Given[tex](80 + 9) \times (200+30+4)[/tex] Definition of decimal numbers[tex](80 + 9)\times 200 + (80 + 9)\times 30 + (80+9)\times 4[/tex] Distributive property[tex]80\times 200 + 9\times 200 + 80\times 30 + 9\times 30 + 80 \times 4 + 9\times 4[/tex] Distributive property[tex]16000 + 1800 + 2400 + 270 + 320 +36[/tex] Definition of multiplication[tex]20826[/tex] Definition of addition/ResultBased on real algebra properties, we know that the product of 89 and 234 is 20826, not 314. [tex]\blacksquare[/tex]
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A flagpole casts a 32 ft. Shadow. A boy who is six feet tall is standing near the flagpole casting a 16 ft. Shadow. How tall is the flagpole?
Answer:
The flagpole is 12 feet
Step-by-step explanation:
The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.
One dozen eggs equals 12 eggs. How many dozens of eggs equals 1,896 eggs?
A.133 dozen eggs
B. 158 dozen eggs
C.158 dozen eggs
D. 696 dozen eggs
Answer: B: 158 dozen eggs
Step-by-step explanation:
If one dozen eggs is 12, and you need to know how many groups of 12 go into 1896, all you need to do is divide 1896 by 12 to get 158. I hope this helps!
Answer:
C
Step-by-step explanation:
Divide 1896 by 12 and you get 158
Express the distance 4,300,000 meters using scientific notation in meters, and then in millimeters.
Answer:
4.3 x[tex]10^{6}[/tex] meters
4.3x[tex]10^{9}[/tex] millimeters
Step-by-step explanation:
HELP PLEASE I NEED HELPPPP!!!!!!!!!!
two triangles is equal to 12 ft squared
the area of rectangles is equal to 8 ft x 6 ft which will give you 48 feet squared
you add them together to get the total area and you will get 84 feet sqaured
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answer:
a
Step-by-step explanation:
just cuzyfhyf
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
4 Kilometers
Step-by-step explanation:
if 2 centimeters = 1 kilometer than 8 centimeters = 4 kilometers
A satellite flies 87100 miles in 16.75 hours, How long would it take to fly 104520
miles?
Answer:
22.41
Step-by-step explanation:
Set up a proportion where x is the time to fly 174798 miles
Cross multiply and solve for x:
118404x = 2653433.64
x = 22.41
So, it would take 22.41 hours to fly 174798 miles
Determine whether or not the points A(4,7), B(-5, -4), and C(5,2) form a right triangle.
Is the triangle a right triangle?
Answer:
Step-by-step explanation:
No, there would have to be two point that have identical x coordinates
Anyone know ?????? I kind of need help rn
Answer:
2.45 anytime
Step-by-step explanation:
the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45
Answer:
2.45
Step-by-step explanation:
(2.4+2.5) / 2
Write four hundred thirty-five thousand, two hundred two in standard form.
Answer:
four hundred thirty-five thousand : 435,000
two hundred two : 202
$153250 to the nearest 10000
QUICK!!
Which equation represents the relationship shown in the graph??
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
if you write 14 to the power of 6
in expanded form, how many factors will there be?
9514 1404 393
Answer:
6
Step-by-step explanation:
The power is used to signify repeated multiplication in the same way a multiplier signifies repeated addition.
14⁶ = 14×14×14×14×14×14
There are 6 factors of 14.
The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
A)
The ride requires a $14 initial fee, plus 50 cents per mile driven
B
The ride requires a $14 initial fee, plus 51.90 per mile driven
The ride requires a $14 Initial fee, plus 52.15 per mile driven
D
The ride requires a 514 initial fee, plus 52.50 per mile driven
The table is an illustration of a linear function.
The description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
The base fee is the charges, when the number of miles is 0
From the table;
y = $14, when x = 0
So, the base fee is $14
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex]m = \frac{16.5 - 14}{5-0}[/tex]
[tex]m = \frac{2.5}{5}[/tex]
[tex]m = 0.5[/tex]
The above means that:
The cost per mile is $0.5 (i.e. 50 cents)
Hence, the description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
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Find the perimeter of the triangle whose vertices are (−4,4), (−4,1), and (−8,−4). Write the exact answer. Do not round.
Answer:
Step-by-step explanation:
The perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
How to determine the perimeter?The coordinates are given as:
(−4,4), (−4,1), and (−8,−4).
Calculate the distance between the vertices using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-4 + 4)^2 + (4-1)^2} = 3[/tex]
[tex]BC = \sqrt{(-4 + 8)^2 + (1+4)^2} = \sqrt{41[/tex]
[tex]AC = \sqrt{(-4 + 8)^2 + (4+4)^2} = \sqrt{80[/tex]
The perimeter is the sum of the side lengths.
So, we have:
[tex]P = 3 + \sqrt{41} + \sqrt{80}[/tex]
Expand
[tex]P = 3 + \sqrt{41} + 4\sqrt{5}[/tex]
Hence, the perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
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Kim bought a blouse for $17.16, a skirt for $28.19, and a purse for $35.14. The sales tax was 12%. If she hands the clerk a $100 bill how much will she get back?
Based on the cost of her items, if Kim hands over $100, she will get back $9.85.
The total that Kim will pay includes the cost of all three items as well as the sales tax.
The total cost of the three items is:
= Blouse + Skirt + Purse
= 17.16 + 28.19 + 35.14
= $80.49
The total including the sales tax will be:
= Cost + (Cost x Sales tax)
= 80.49 + (80.49 x 12%)
= $90.15
The change she will get is:
= 100 - 90.15
= $9.85
In conclusion, Kim will get a change of $9.85.
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what is the average of 2 1/3 and 3 1/2
Answer:
2 11/12
Step-by-step explanation:
The average of 2 ⅓ and 3 ½ is 2 11⁄12. To find the average, find the sum of the fractions and divide by 2.
2 ⅓ + 3 ½ = 7⁄3 + 7⁄2 = 14⁄6 + 21⁄6 = 35⁄6 or 5 5⁄6
5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12
The average of 2⅓ and 3½ is 2 11/12
2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6
5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12
Finding the Average
Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:
Add the given values.
Divide the sum by the count of values.
Equation:
(2 1/3 + 3 1/2) / 2 = ?
Solution:
(2 1/3 + 3 1/2) / 2 = ?
* Change the mixed numbers to improper fractions.
= (7/3 + 7/2) / 2
* Add the fractions. Find the LCD.
= (14/6 + 21/6) / 2
= ( 35/6 ) /2
To divide change the sign to multiplication, The give the reciprocal of the second fraction
= 35/6 × 1/2
= 35/12 or 2 11/12
Final Answer:2 11/12
hope it helps youThank You !!please help me with this sum
20 - 3 x 6 + 8 =
Answer:
10
Step-by-step explanation:
Use the PEMDAS rule.
20 - 3 * 6 + 8
= 20 - 18 + 8
= 20 - 10
= 10
When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10
What is BODMAS?The meaning of BODMAS is given below:
B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => SubtractionThe above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.
How to determine 20 - 3 × 6 + 820 - 3 × 6 + 8
Carry out multiplication
20 - 18 + 8
Carry out addition
20 - 10
Carry out subtraction
10
Thus,
20 - 3 × 6 + 8 = 10
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A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
-3 1/8 Gallons
Step-by-step explanation:
First, you need to understand how many gallons are being lost per minute.
14 2/3 - 16 3/4 =1 1/12
After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.
There's your answer!
Answer:
the other guy who answered is correct aswell.
The answer is - 3 1/8
need proof? here ya go-
Find an angle between 0 and 2 that is coterminal with the given angle.
Answer:
40degres
Step-by-step explanation: