What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? SHow your reasoning.

Answers

Answer 1

Answer:

27/2 in^3 or 13.5 in^3 as a mixed fraction

Step-by-step explanation:

V=whl

Simplify the following:

(1 + 1/2) (2 + 1/4)×4

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(2/2 + 1/2) (2 + 1/4)×4

2/2 + 1/2 = (2 + 1)/2:

((2 + 1)/2) (2 + 1/4)×4

2 + 1 = 3:

3/2 (2 + 1/4)×4

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(3×4)/2 ((4×2)/4 + 1/4)

4×2 = 8:

(3 (8/4 + 1/4)×4)/2

8/4 + 1/4 = (8 + 1)/4:

(3×4)/2 ((8 + 1)/4)

8 + 1 = 9:

3/2×9/4×4

3/2×9/4×4 = (3×9×4)/(2×4):

(3×9×4)/(2×4)

(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:

(3×9)/2

3×9 = 27:

Answer: 27/2 or 13.5 as a mixed fraction


Related Questions

. The ratio of the measures of the sides of a
triangle is 4:7:5. If the perimeter of the
triangle is 128 yards, find the length of the
longest side.

Answers

Step-by-step explanation:

4+7+5=16

128:16=8

8*7=56 yards

Please help me. I am struggling. Question is in image. ​

Answers

Answer:

a = -15 when you add -28 f by 13 f

b -51 f lower if you subtract st Louis by chicago

Using side lengths only, could the triangles be similar?

Answers

Answer:

Option A

Step-by-step explanation:

Step 1:  Compare the sides

We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.

[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]

[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]

[tex]0.5\neq 0.6667\neq 0.75[/tex]

Answer:  Option A

Which one is the correct answer, a b c d

Answers

Answer:

[tex]g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]

Step-by-step explanation:

[tex]Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]

I hope this helps you

:)

Find the equation of the line shown (first to do gets brainlist)

Answers

Answer:

y = -2x + 9

Step-by-step explanation:

Can anyone solve this today?

Answers

Answer:

  C

Step-by-step explanation:

The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.

__

  A(x) = x²

  A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____

Additional comment

The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.

The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)

Please help! Will mark brainlyest.

Answers

270 degree rotation

Ten friends played slot machines in Las Vegas. Their average loss was $60 and the standard deviation of the loss was $10. What does the standard deviation of $10 mean

Answers

Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

What is the standard deviation of a data-set?

The standard deviation is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values.It represents by around how much the distribution varies around the mean.

Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

More can be learned about standard deviation at https://brainly.com/question/24754716


The sections of a spinner are divided into five
equal sections and are lettered A to E. Myla spins
the pointer of the spinner once and rolls a number
cube numbered 1 to 6. What is the probability of
landing on B and rolling an even number?

Answers

Answer: 0.066, or a 6.6% Statistical Probability.

Step-by-step explanation:

When dealing with Statistical Probability, you are attempting to find the theoretical chance of an action occuring.

With the two actions described, one being a wheel with five set outcomes, and a dice with six set outcomes, you can find the probability of random numbers/outcomes by taking

[tex]\frac{1}{6} \\and\\\frac{1}{5}[/tex]

1/6 being number cube, 1-2-3-4-5-6

and

1/5 being spinner. A-B-C-D-E

In the Event, (made up by actions), it is described that The Cube AND Spinner are rolled and spun at random.

Also, The description asks: what is the probability of landing on B and rolling an even number?

So, the 1/6 chance of the dice becomes 1/3, or .33 or 33%.

And, the 1/5 chance for the spinner stays the same, because it is a single unit. So, probability of landing on B is still 1/5, or .2 or 20%.

When two actions are present in an Event, you are to procedurally multiply the outcomes by the decimal percentage, fraction, or actual percentage, to find the chance of occurence.

In this scenario, I used .2 x .33 and got 0.066

Which, equals 6.6%

I found this by multiplying the decimal percentage by 100, to scale the chance on a 100/100 based scale. In this case, the multiplier on the numerator is .066 ... creating 6.6/100, or .066 or 6.6%

Hope this Helped!

Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c-300=250, where c is the selling price of each costume. What was the selling price of one costume in dallars?

Answers

Answer:$11

Step-by-step explanation: 50c - 300= 250

Add 300 to both sides

Divide both sides by 50

A rectangle measures 4 3/4 inches by 1/3 inches . What is the area ?

Answers

Answer:

A = [tex]\frac{1}{4}[/tex] in²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth ) , then

A = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] ( cancel 3 on numerator/ denominator )

   = [tex]\frac{1}{4}[/tex] × 1 = [tex]\frac{1}{4}[/tex] in²

what is 7x7+89 i want to know what the b is to

Answers

Answer:

138

Step-by-step explanation:

According to PEMDAS (explains which operation you do first)

(Parentheses

Exponents

Multiplication or Division

Addition or Subtraction),

1. multiplication comes before addition

2. Even if it was 89+7x7, it would still be 7x7 first.

3. 7x7=49. Add it to 89 and you get 138

7x7+89
In PEMDAS multiplication comes first
49+89
Add (7x7) and 89
The answer is 138

what is p to the power of 2

Answers

Answer:

It really depends if there is more work with this, but of it is just p to the power of two. it would be p².

You go shopping and buy shoes for $112 if the tax is 7%

Answers

I dont know how to delete a answer and i got it wrong apparently so sorry

Answer:
The tax you would pay:
112*(7/100)=7.84$
Your total:
112-7.84=104.16$



PLSS HELP
I NEED THIS ASAP
Find angle relationship and solve for X!!
(WILL GIVE BRAINLIEST)

Answers

Answer:

Same side exterior anglesx = 15

Step-by-step explanation:

The indicated angles are same side exterior angles since located on the same side of the transversal and exterior to parallel lines.

Same side exterior angles are supplementary, so their sum is 180.

Solve the following equation for x

7x + 3 + 4x + 12 = 18011x + 15 = 18011x = 165x = 165/11x = 15

Angles are supplementary as they are same side exterior angles

7x+3+4x+12=18011x+15=18011x=165x=15

Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller
angle find the measure of each angle
Define variables

Answers

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

smallest angle = 12Larger angle = 4*12 + 30 = 78

Simplify the algebraic expression below. m + m + m + m + m + m − m + m - m = __?

Answers

Answer:

Simplify the following:

m + m + m + m + m + m - m + m - m

m + m + m + m + m + m - m + m - m = 5 m:

Answer: 5 m

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.

Answers

Answer: You d u m b. -3/4

Step-by-step explanation:

In which year did Carlos and Andrew have the largest difference in their salaries?



2003
2004
2005
2006

Answers

Answer:

the answer to this is D. 2006


. Calculator
The price of a visit to the dentist is calculated according to the formula 50 + 100n where n is the number of
cavities the dentist finds.
On your last visit to the dentist, 2 cavities were found.
What was the cost of your visit?

Answers

Answer:

$250

Step-by-step explanation:

50+100n= 50+100(2)= 50+200=250

Sincerest Apologies if this is incorrect

What is the area, in square feet, of the shape below?

Answers

Answer:

17.4 ft²

Step-by-step explanation:

The formula to find the area of a triangle:

1/2 x b x h, where b is the base and h is the height.

1) Substitute the given values into the formula and solve it.

= 1/2 x 6 x 5.8

= 1/2 x 34.8

= 17.4

Answer:

Area= 17.4 ft²

Step-by-step explanation:

The formula of the area of any triangle is given by: A = [tex]\frac{b*h}{2}[/tex]

where A: area of the triangle

           b: base of the triangle

           h: height of the triangle

in this figure we have:

b= 6ft

h= 5.8ft

A= [tex]\frac{6 * 5.8}{2}[/tex] = [tex]\frac{34.8}{2}[/tex]=17.4 ft²

HOPE THIS HELPS :)

complete the function table and write the function rule

Answers

Answer:

6 and -22

Step-by-step explanation:

See attached image.

The function rule for the linear function is y = y = x - 12

The missing values are: x = 6; and y = -22.

What is a Linear Function Rule?

Where, m is the average rate of change, and b is the initial value when x is 0, therefore, a linear function rule is given as, y = mx + b.

Find m and b using the table of values given.

Using (32, 20) and (14, 2):

Average rate of change (m) = change in y / change in x = (20 - 2)/(32 - 14)

Average rate of change (m) = 18/18 = 1.

Find b by substituting m = 1 and (x, y) = (14, 2) into y = mx + b

2 = 1(14) + b

2 = 14 + b

2 - 14 + b

-12 = b

b = -12

Write the rule of the linear function by substituting m = 1 and b = -12 into y = mx + b

y = 1(x) + (-12)

y = x - 12

Find the missing values on the table

Fourth Row: when y = -6

-6 = x - 12

-6 + 12 = x

x = 6

Last Row: when x = -10

y = -10 - 12

y = -22

Therefore, the function rule for the linear function is y = y = x - 12

The missing values are: x = 6; and y = -22.

Learn more about linear function rule on:

https://brainly.com/question/4025726

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x + 3y = 15?

Answers

Answer:

first, we need to know the gradient of the line, 2x+3y=15

Gradient of the line is -2/3

from 3y=-2x+15

Y=-2x/3+5

Step-by-step explanation:

new gradient will be 3/2 since the initial gradient is perpendicular to the new one

therefore, considering the general equation of the line, y-y1=m(x-x1)

where y1=3 and x1=1

we can therefore substitute in the values into the above equation

so, y-3=3/2(x-1)

y-3=3x/2-3/2

2y-6=3x-3

2y-3x=-3+6

2y-3x=3

therefore, the equation of the line perpendicular to line 2x+3y=15 is 3x-2y=-3

Suppose that algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent us dollars) $6,844. if the algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate? a. 9% b. 14% c. 18% d. 26% please select the best answer from the choices provided a b c d

Answers

The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

Algeria has a workforce of 9,416,534

Each entity average annual salary = $6,844

The raise in tax revenue = $ 9 bilion

To find the income tax rate we must find the total income of the workforce,

= 9,416,534×6844

= $64.45 billion

Now for income tax:

[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]

[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]

≈ 14 %

Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.

Learn more about the income tax here:

https://brainly.com/question/17075354

The congruence theorem that can be used to
prove ΔΜΝΡ ΔΑΒC is
O SSS.
O ASA.
O SAS.
O AAS.

Answers

Answer:

SAS

Step-by-step explanation:

AB congruent to MN

Angle B congruent to Angle N

BC congruent to NP

Check both triangles

<N=<BPN=BCNB=AB

So

Two sides are equal and their corresponding angles are equal

SAS should be used

What is the solutior to the equation 5j = 2/3

Answers

Answer:

j = 0.13333333333

j = 4/30

just divide both sides by 5 my friend

Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression tells you the total cost of Pam's 6-month gym membership? 45+(30times6) or (45+30)times6

Answers

Answer:

45 + (30*6)

Step-by-step explanation:

One year, sales increased by 15%. The following year sales increased by 18%. Calculate the overall percentage increase in sales.

Answers

Answer:

35.7%

Step-by-step explanation:

Sales increase in Year 1

Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15x

Sales increase in Year 2

From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357x

Overall Increase

Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%
First year (Year 1):

Let the sales be known as "a".

Given statement:

One year, sales increased by 15%.

This can be written as:Year 1 = a + (a × 15%)

Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)

Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)

Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100

Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100

Next year (Year 2):

Given statement:

The following year sales increased by 18%.

This can be written as:Year 2 = Year 1 + (Year 1 × 18%)

Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)

Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)

Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)

Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000

Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000

Overall percentage increase:

Formula:

Overal percentage increase = (Sales in year 2 - Original sales) × 100

Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100

Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100

Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7a

Step-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%

Therefore, the overal increase in percent is 35.7%.

Answer these questions it’s for my math! Please do all the days!

Day 1

how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?

Day 2

how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?

Day 3

how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?

Answers

Answer:

Day 1

4 times

8 mins

1 time

0 times

1 time

0 times ( I never use it)

Day 2

2 times

5.30 mins

0 times

2 times

0 times

0 times

Day 3

5 times

0 mins

0 times

2 times

1 time

0 times

Step-by-step explanation:

Hope it helped you

Match the numbers in column one with the square roots in column two

Answers

Answer:

1..c

2..h

3..g

4..e

5..b

6..d

7..a

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