Explain when it is appropriate to use a benchmark percent in solving a problem.

Answers

Answer 1

Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

These benchmark values are sometimes used when estimating a solution involving percentages.

Real-World Example

If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.

10% of 36, done mentally, is 3.6.

Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:


Related Questions

The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)

Answers

Answer:

318.6

Step-by-step explanation:

(3x-9) + (x+15) = 180

3x (x+15) -9 (x+15)

4x + 45x - 9x + 6 = 180

40x + 6 = 180

40x = 180 - 6

40x = 174

x = 4.34

(3x-9) = 4.34 * 3x-9 = 4.02

(x+15) = 4.34 + 15 = 19.34

180 - (4.02 + 19.34)

= 180 - 23.36

= 156.64

hope this answer helps!!

The total cost C for p pounds of ham if each pound cost $3.55

Write a function rule using C and p as variables.

Answers

Answer:

If each pound costs $5.46, then

p

pounds can be multiplied to 5.46 to find the costs of different amounts of lithium.

Total cost: C

5.46

p

=

C

Step-by-step explanation:

(02.02 LC)
If f(x) = 3(x + 4), find f(2).


I NEED HELP IMMEDIATELY

Answers

Answer:

f(2) = 18

Step-by-step explanation:

f(2) = 3(2 + 4)

f(2) = 3(6)

f(2) = 18

.

An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.

Answers

Answer:

24 i can be rong

Step-by-step explanation:

round 17 21/30 to the nearest whole number

Answers

Answer:

i think 18

Step-by-step explanation:

dont come at me if im wrong

An investment that you bought for __________ and sold for __________ made a profit.
700-600
700-500
600-500
600-700

Answers

Step-by-step explanation:

600-700 is the correct answer

pls mark me as BRAINLIAST

600-700 !

explanation:
to make profit, you have to sell for a higher price than what you bought it for (:

the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth

Answers

Answer:

length=12; breadth=8

Step-by-step explanation:

l=w+4

w(w+4)=96

w²+4w-96=0

(w+12)(w-8)=0

width=8

length=w+4=12

Answer:

length=12; breadth=8

Step-by-step explanation:

Hope this helped have an amazing day!

HELP ASAP!!

the questions are in the picture​

Answers

Answer:

1. Y≤2x-4

2. Yes, since its a solid line it includes points on the line

Step-by-step explanation:

Answer: y [tex]\leq[/tex] 2x - 4

Formula is   y = mx + b

m is the slope and b is the y-intercept.

Yes its a solution because the line passes through the point (2,0).

Mark me brainllest :D

Maria paid $240 for a table set after a discount of 40%. What was the original price?

Answers

Answer:

The original price was 400 dollars.

Step-by-step explanation:

400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.

If Frances can paint 1/5 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?

A. 60 minutes
B. 100 minutes
C. 400 minutes
D. 500 minutes

Answers

Answer:

C. 400 minutes

Step-by-step explanation:

20 *5 = 100

she needs 100 minutes to paint 1 wall

so for 4

100*4 =400 minutes

what is the answer to this problem 9.87 x 10^1

Answers

Answer:

=9.87x10

Step-by-step explanation:

Simplifies to:

9.87x10

=9.87*x10

=9.87*(x*x*x*x*x*x*x*x*x*x)

=9.87x10

HELP ME SOLVE THIS... BRAINLIEST AND 25 POINTS WILL BE GIVEN

Answers

it says 13 points dont lie now but ill solve it wait
Here is the answer to problem 2. I could not post all answers at once because it would not let me. Please find the answers on the other questions you have written (comment if you can’t find them)

A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.

Answers

Answer:

5t = 4b

Step-by-step explanation:

Here, we want to write a proportional relationship for b in terms of t

From the question, b represent the amount of candle burned away in a given time t hours

From what we have initially, 13 3/4 burnt in 11 hours

So in 1 hour, the amount burnt will be;

55/4/11 = 5/4

5/4 inches of candle burnt in 1 hour

5/4 inches = b/t

So b inches burnt in t hours

5/4 = b/t

5t = 4b

James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.

Answers

Answer:

I believe the answer is B let me know if it's wrong

Answer:

(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.

a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour

Answers

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

having trouble with this graph

Answers

Answer:its a

Step-by-step explanation:i did this before

A is your answer you’re welcome!

An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?

Answers

Answer:

22 cents per ounce

Step-by-step explanation:

SAS Congruence Theorem Two Column Proof, Pictures Included.


WILL GIVE BRANIEST

Answers

Answer:

we prove the both triangle

first we profe sides

two years late but hope this helps !!

0.075,0.75%, 3/4.. Which of the following correctly orders the values above from least to greatest

Answers

Answer:

0.075,3/4,0.75

Step-by-step explanation:

Answer:

0.75%, 0.075%, 3/4

Step-by-step explanation:

Took the test and this is the correct answer

FIRST GETS BRAINLIEST HURRY

Answers

Answer:

C is the answer

Step-by-step explanation:


Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation:

Answers

Answer:

Its either A or B:

The length of diagonal PS and diagonal P'S' are in the ratio 1:3.

The lengths of side PT and side R'Q' are in the ratio 1:3.

I can’t solve or bring myself to understand it :/ I’m having difficulties

Answers

Answer:

x = 50

Step-by-step explanation:

Since the output is 0, x^2 is 2500 but written differently.

Just take the square root of 2500, which is 50.

50^2 = 2500

2500 - 2500 = 0

what is 100,000,000,000,000,000, divided by 100

Answers

Answer:

1e+14

Step-by-step explanation:

Please help me ! Please!

Answers

It’s 19 so the answer would be B

Answer:

B) 19

Step-by-step explanation:

The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1

The second step is to square 3 which equals 9. f(2) = 2(9)+1

The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1

The fourth step is to add 18+1 which equals 19. f(2) = 19

Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160

Answers

Answer:4 10

Step-by-step explanation:

Answer:4 √10

Step-by-step explanation:

edgy

What is the remainder after you divide the polynomials?
(2x^4+3x^3-x-5) divided (x+2)

Answers

The remainder is 5/x+2

Explanation: full equation is 2x^3-x^2+2x-5+(5/x+2)

What is the formula of circumference of a
circle?

Answers

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.

The formula is C=2πr

Name:
BARALAR
Index No asuelon
25. The average of 5 girls is 21 years. If the age of one of them is 8 years
calculate the average age of the remaining girls.​

Answers

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = [tex]\frac{sum}{5}[/tex]

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is [tex]\frac{97}{4} = 24.25[/tex] years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

This formula gives the yearly depreciation D for
an item in terms of its cost C, its salvage value
S, and the number of years 71. Solve the
equation below for C.
C-S
De

Answers

Answer:

C = 71D + S

Step-by-step explanation:

The computation of the equation for C is as follows:

Given that

Yearly Depreciation = D

Cost = C

Salvage value = S

Number of years = 71

Based on the above information

The formula for the yearly depreciation i.e. D is

D = (C - S) ÷ 71

71D = C - S

71D + S = C

So, the equation would be

C = 71D + S

There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?​

Answers

Answer:

There are 33 cows and 26 chickens

Step-by-step explanation:

Problem Solving

This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.

Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.

Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.

We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.

Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.

62 more legs are 66/2 = 33 changes or 33 cows.

The number of chickens is 59 - 33 = 26

Answer: There are 33 cows and 26 chickens

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