Explain how to use the distributive property to find an expression that is equivalent to 20+16.​

Answers

Answer 1

Step-by-step explanation:

distributive property is a*(b+c) = a*b + a*c

20+16 = 4* (5+4)


Related Questions

The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per person. How many people need to be in a group to save $500?

Answers

Answer:  20 people

=========================================

Explanation:

x = number of people

Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.

Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

------------

If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.

I would really appreciate some help. Thanks!
Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?

A. 2:3
B. 2:5
C. 3:2
D. 5:2

Answers

Answer:

D

Step-by-step explanation:

the question says that he has 5 to 2 and if you put it in a fraction you cant reduce it so therefore the answer has to be 5:2

Answer:

D. 5:2

Step-by-step explanation:

He has 5 games so 5: for every 2 school apps so 5:2

10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?

Answers

Answer:

20

Step-by-step explanation:

20 - 3

Sarah is 3 years older so 23 is going to be subtracted.

Which expression is a prime polynomial, x^3-1, x^2+1, x^3+1, x^2-1

Answers

Answer:

[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial

Step-by-step explanation:

A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.

One of the following expressions is prime. The rest of them can be factored.

[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:

[tex]x^3-1=(x-1)(x^2+x+1)[/tex]

[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:

[tex]x^3+1=(x+1)(x^2-x+1)[/tex]

[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:

[tex]x^2-1=(x-1)(x+1)[/tex]

[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial

At Sakaro's Sushi, you can get 18 wraps for $30.06 What is the price for 1 wrap?

Answers

Answer: $1.67

Let's make an equation for the problem. To find the price for each sushi roll, divide the price by the number of sushi rolls.

30.06 ÷ 18 = 1.67

12x + 7 < -11
OR
5.2 – 8 > 40

Answers

Answer:

x < - 3/2  or x > 48/5  (option a in your list of answers)

Step-by-step explanation:

We solve for x in each inequality:

12 x + 7 < -11

subtract 7 from both sides:

12 x < - 11 - 7

12 x < -18

divide both sides by 12 to isolate "x" on the left:

x < - 18 / 12

simplify a common factor 6 in numerator and denominator on the right:

x < - 3 / 2

Now the other inequality:

5 x - 8 > 40

add 8 to both sides:

5 x > 40 + 8

5 x > 48

divide both sides by 5:

x > 48 / 5

So the answer is:

x < - 3/2  or x > 48/5

which coincides with answer a) in your list.

3 people take 90mins to water a garden how long does it take 6 people

Answers

Answer:

hope it is helpful

Step-by-step explanation:

mark as branlist

^ ^

(3+sqrt-16)(6-sqrt-64)

Answers

Answer:

12i + 9

Step-by-step explanation:

Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.

sqrt -16=4i

sqrt -64=8i

3 and 6 cannot be grouped with them, so you would add these two

3+6=9

8i+4i=12

I believe this would be the answer:

12i + 9.

Answer:

18-32i

Step-by-step explanation:

(3+sqrt(16i)(6-sqrt(64i)

= 18-32i

A.(-2,3)
B.(-2,-3)
C.(2,3)
D.(4,3)

Answers

three answer is b) (-2,-3)

The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:

Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)

b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.

c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?

d. Find the correlation r (
±
0.001) between beak heat loss and temperature.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator

Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.

Answers

Answer:

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Step-by-step explanation:

The objective of this question is to solve:

[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]

Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:

Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:

i.e.

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]

To Replace:

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]

[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]

[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]

Thus;

[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0

[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]

In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:

[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]

By Factorization:

[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]

[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]

However;

The root [tex]\lambda = -6 \pm i[/tex] yield;

[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]

[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]

The root [tex]\lambda = 3[/tex] yield;

[tex]y_3(x) = c_3 e^{3x}[/tex]

The general solution is:

[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]

Using Euler's Identity ;

[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]

[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Text a friend and write a clear set of instructions on how to find a ratios amount

Answers

Answer:

Hi ___

A ratio is created from two numbers it can also be a fraction.

To find a ratio you have to have 2 numbers

You can take these 2 numbers and divide them so they are a unit ratio

For example 3:6 can be reduced to 1:3

Step-by-step explanation:

Hope this helps please give brainliest

The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient? There are fraction 6 and 1 over 4 two-thirds in fraction 4 and 1 over 6.
a. There are fraction 6 and 1 over 4 five and one-sixths in fraction 2 over 3.
b. There are fraction 8 and 1 over 6 two-thirds in fraction 5 and 1 over 6.
c. There are fraction 8 and 1 over 6 five and one-sixths in fraction 2 over 3.

Answers

The answer is going to be C hopethis helps thank you

Answer:

C. D. E. or 3. 4. 5.

Step-by-step explanation:

Quickkkk!!!!!!!! Help

Answers

Answer:

2143

Step-by-step explanation:

Find the value of
5x^2 if x = -3.

Answers

Step-by-step explanation:

5x²

If x = 3

Then,

5(3)²

= 5×9

= 45

Please help I would appreciate

Answers

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference of the two numbers is 15

Answers

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

Also find the count of all distinct number pair differences

Number pair which have a difference of 15 = 85

Total distinct number pair differences = 4950

Probability = required outcome / Total possible outcomes

P(difference of 15) = 85/4950 = 17/990

please help me with this i will mark you brainliest ​

Answers

Answer:

(-3,7)

Step-by-step explanation:

Hope it helps

A simple index of three socks have opening values on day 1 and day 8 as shown in the table below. What is the rate of change of this simple index over one week? Round your answer to the nearest tenth

Answers

Answer: -7.7%

Step-by- A P E X

Jon used 64.4 cups of flower to make 8 loaves of bread. How much flower did he use for each loaf?

Answers

Answer:

8.05 cups per loaf

Step-by-step explanation:

divide 64.4 and 8

equation

64.4÷8=8.05

Rewrite the following using the GCF and Distributive properly ?

63 + 27

Answers

45 is the GCF I’m pretty sure
the GCF is 90

Distributive property can be written as
(9)(7) + (9)(3)
or
9(7 + 3)

David has 574 cereal bars that he wants to fit in bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number bags of 10. How many bags of 8 and 10 can david pack the cereal bar into

Answers

Answer: lol have the same question

Step-by-step explanation:

574 = 8(x+2) + 10x
574 = 8x + 16 + 10x
574 = 18x + 16
558 = 18x
31 = X

31 bags of 10
33 bags of 8

State the domain of the relation (1,2,3,3,4,5) (-3,-1,1,2,3)

Answers

the domain is all of the x values. so the answer would be (-2,-1,0,1,2)

A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.​

Answers

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.

If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?

A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c

Answers

Answer:

could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed

Answer:

D

Step-by-step explanation:

just took this test

Helppp me plssss! ASAP

Answers

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

how many number of subsets in set D

Answers

Answer: A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets. Listing the sets is fine if you have only a few elements.

What is the image of point (-3,-1) under a reflection in the origin?

Answers

Answer:

3,1

Step-by-step explanation:

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

The Y-intercept is the Y value when X = 0.

Find the change in X:

-56 to -42 = 14

-42  to -28 = 14

The X value changes by 14.

For every change in X the Y change:

66-58 = 8

58-50 = 8

For X to get from -28 to 0 would be 2 more changes:

-28 +14 = -14

-14 + 14 = 0

2 more changes of Y would be:

50-8 = 42

42-8 = 34

So when X = 0, Y = 34

The Y-intercept would be (0,34)

Step-by-step explanation:

like if it helps <3

the value of x in logx(9/63)=1/2 is​

Answers

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

What is a logarithmic equation?

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

Learn more about logarithmic equation here

https://brainly.com/question/14406114

#SPJ2

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