Use the distributive property to write two different expressions equal to 96.
Each expression should be the product of a number and a sum. Show your work.

Answers

Answer 1

Answer:

96 = 3 * 32, and 32 = 16 + 16, so we can say:

96 = 3(16 + 16)

96 is also equal to 2 * 48, and 48 equals 36 + 12, so we can also say:

96 = 2(36 + 12)

If you want to go with the ridiculous, you have an infinite number of combinations you could do like that.  For example:

96 = 0.15(1423987123497 - 1423987122857)

Answer 2

The two different expressions can be written as 2 × (30 + 18) and 4 × (13 + 11).

What is Distributive Property?

Distributive property is applied for numbers or algebraic expressions.

For three numbers a, b and c, distributive property states that,

a (b + c) = ab + ac

Given number is 96.

We have to write two expressions such that the expression should be the product of a number and a sum which equals 96.

We know that,

96 = 2 × 48

Using distributive property,

96 = 2 × (30 + 18)

     = (2 × 30) + (2 × 18)

     = 60 + 36

     = 96

So one expression is 2 × (30 + 18).

96 = 4 × 24

     = 4 × (13 + 11)

     = (4 × 13) + (4 × 11)

     = 52 + 44

     = 96

So the other expression is 4 × (13 + 11).

Hence the two expressions are 2 × (30 + 18) and 4 × (13 + 11).

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Related Questions

please help me i really need help please

Answers

Answer:

So, I think you're talking about 180-118, which is 62

Step-by-step explanation:

180-118=62

Type the correct answer in each box.

Answers

Answer:

X = 30 degrees, z = 80 degrees and y = 70 degrees

Isabella and Scarlett hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 55 minutes at the food court. Then they spent 1 hour and 40 minutes at the video arcade before heading home. If it was 12:45 P.M. when Isabella and Scarlett started shopping for clothes, what time was it when they left the mall?

Answers

Answer:

5:35

Step-by-step explanation:

i added the 15 from first to 12:45 (when they arrived) so it was 1 pm already add the other 3 hours to 1pm its 4pm 55 minutes plus 40 minutes is 1 hour and 35 minutes so 4pm +1 hour and 35 minutes = 5:35

also just saw other guys answer if people send links like that its a virus or scam so report it and dont go to the link

find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?

Answers

Answer:

18 books

Step-by-step explanation:

A donut machine can make 3000 donuts in 10 hours. How long would it take the machine to make 600 donuts? How many donuts are made per minute?

Answers

Answer:

it would take it 2 hours to make 600 donuts, it makes 5 donuts a minutes

Step-by-step explanation:

Simple math.

3000/10=300 which means 300 donut per hour.

300 x 2 = 600.

300 / 60 = 5.

PLEASE HELP WHO EVER GET THIS RIGHT WILL MAKE U BRAINIEST

Answers

Answer: 150

Step-by-step explanation:

You got it right, just divide 300 by 2 :)

Answer:

150

Step-by-step explanation:

50% is half if everything... half of 300 is 150

Which expression is equivalent to 1/2(4 + 20m) + 2m - 1?

Answers

Answer: 12m+1

Step-by-step explanation:

[tex]\frac{1}{2} (4+20m)+2m-1\\2+10m+2m-1\\12m+1[/tex]

(20 POINTS) answer ASAP

Answers

Lo siento muchísimo, no lo sé Necesito la versión en español plz 21

Can y’all help me on question 15?!

Answers

Answer:

B. 2⁵ + 7²

Step-by-step explanation:

2 to the fifth power is: 2⁵

7 squared (7 to the second power) is: 7²

Belle is playing a game where the probability of drawing a card with a value greater than 12 is 1/16. If she draws 64 cards throughout the game what is the best prediction of the number of cards she will draw with a value greater than 12?

Answers

0.8 repeting

Step-by-step explanation: 1/6 times 64 divded by 12.

Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cover? Give your answer correct to 2 decimal places.​

Answers

Answer:

55.5 percent of the way!!!!!!

please answer me without spamming

Answers

THE ANSWER :- h = 93.88 cm

Step by step:-

Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?

Answers

Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

What is the surface area of the rectangular prism?



16 cm 2
48 cm 2
96 cm 2
80 cm 2

Answers

Answer:

Surface area = 80 cm²

Step-by-step explanation:

Surface Area of rectangular prism = 2(LW + LH + WH)

L = 4 cm

W = 4 cm

H = 3 cm

Plug in the values

Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)

Surface Area = 2(40) = 80 cm²

GameStop has a sale on Xbox games. Yusuf buys $50 worth of video games. Each game is on sale for $10. How many games did Yusuf buy?

Answers

Answer:

He bought 5

Step-by-step explanation:

Yusuf bought 5 games

8/9+8/9
enter answer as a fraction​

Answers

16/9 also known as 1 7/9

Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative

Answers

Answer:

zero

Step-by-step explanation:

the slope does not change in y at all.

Zero! Hope this helps

Can someone tell me the answer pls

Answers

Answer: The second and the last answer are correct

Step-by-step explanation:

A random sample of 10 shipments of stick-on labels showed the following order sizes. 45,424 38,958 53,726 24,760 27,866 46,843 26,478 23,983 34,088 57,814
(a) Construct a 95 percent confidence interval for the true mean order size. (Round your standard deviation answer to 1 decimal place and t-value to 3 decimal places.) The 95 percent confidence interval _______to ________
(b) The confidence interval can be made narrower by:________.
i. decreasing the sample size or decreasing the confidence level.
ii. increasing the sample size or increasing the confidence level.
iii. increasing the sample size or decreasing the confidence level.
iv. decreasing the sample size or increasing the confidence level.

Answers

Answer:

way too hard

Step-by-step explanation:

Which undefined term can contain parallel lines?
line
plane
point
ray

Answers

Answer:

i tthat hink it is a plane

Answer:

PLANE

Step-by-step explanation:

Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Write two equations that models the price of the bike after 5 years.

Answers

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure
in degrees Celsius:
F=
9
C + 32
5
Rearrange the formula to highlight the measure in degrees Celsius.

Answers

Answer:

The rearrenged formula is [tex]C = \frac{5(F - 32)}{9}[/tex]

Step-by-step explanation:

Celsius to Fahrenheit:

To realize the conversion of the temperature in degrees Celsius to degrees Fahrenheit, we use the following equation:

[tex]F = \frac{9C}{5} + 32[/tex]

Rearrange the formula to highlight the measure in degrees Celsius.

We want to find C in function of F. So

[tex]F = \frac{9C}{5} + 32[/tex]

[tex]\frac{9C}{5} = F - 32[/tex]

[tex]C = \frac{5(F - 32)}{9}[/tex]

is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials

Answers

B......……...................

No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is x(4x²+8x+12).

Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.

So, group and factor out the greatest common factor (GCF), then combine.

That is, 4(x²+2x+3)

Now, x(4x²+8x+12)= 4x(x²+2x+3)

Therefore, option C is the correct answer.

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3/5 and 2/5
what is the common denomenator?

Answers

Answer:

5 is their common denominator

Step-by-step explanation:

A common denominator is when both denominators are the same.

Answer:

5 is the common denominator of 3/5 and 2/5

Help need to find the answer

Answers

Answer:

242 ft²

Step-by-step explanation:

The shape can be decomposed to give us a trapezium and a rectangle

Area of the shape = area of the trapezium + area of the rectangle

✔️Area of the trapezium = ½(a + b)h

a = 14 ft

b = 20 ft

h = 13 - 7 = 6 ft

Area = ½(14 + 20)*6

Area of trapezium = 102 ft²

✔️Area of rectangle = L*W

L = 20 ft

W = 7 ft

Area = 20*7 = 140 ft²

✔️Area of the shape = 102 + 140 = 242 ft²

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (1.999)3

Answers

Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is

f(x)L(x) = f (2) + f ' (2) (x - 2)

Compute the derivative:

f(x) = x ³   →   f ' (x) = 3x ²   →   f ' (2) = 12

Then

L(x) = 8 + 12 (x - 2) = 12x - 16

Now approximate 1.999³ :

f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988

(Compare this to the actual value, 7.98801.)

The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.

Answers

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = [tex]a(e)^{nt}[/tex]

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = [tex]91.8(e)^{n\times 1}[/tex]

eⁿ = [tex]\frac{84.4}{91.8}[/tex]

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = [tex]98.6(e)^{-0.08403t}[/tex]

[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]

[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

26. Which expression is NOT closed for polynomials? O Addition Multiplication O Division Subtraction.​

Answers

Answer:

Division

A polynomial divided by a polynomial is not necessary another polynomial. Therefore it is not closed


Sandra is making a vegetable soup. if she makes 12 cups of soup, how many cups of onions does she need? carrots 1/3 cup onions 1/8 cup peas 1/4 cup

(please answer fast)

Answers

Answer:

1 1/2 cups you multiply 1/8 ×12

You are traveling from New York to los angeles to visit mickey mouse and his friends at disneyland. Given a map scale of 1 in. = 400 miles, find acutal distance you will be traveling if they are 7 inches apart on the map

Answers

Answer:

it is 2,800 miles from ny to la

Step-by-step explanation:

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