Use the Distributive Property to create an expression equivalent to 8 x ( 13 + 7 )

Answer:

x = 13

y = -5

Step-by-step explanation:

Let x = the first number

Let y = the second number

x + 2y = 3                            2x + y = 21

You have two unknowns, so you need to equations to solve.

Solve the first equation for x:

x + 2y = 3

x = -2y + 3  Substitute this in for x in the second equation.

2x + y = 21

2(-2y + 3) + y = 21  Distribute the 2

-4y + 6 +y = 21 combine the y's

-3y = 15 Divide both sides by -3

y = -5

Plug -5 back in for either equation

x + 2y = 3

x + 2(-5) = 3

x -10 =3

x = 13

let the probability of Aron going on Saturday be A

A

= {Aaron goes to the gym on Monday},

and the probability of him going on a Sunday be B

B

= {Aaron goes to the gym on Sunday}.

In your post, we have the following pieces of information:

P(A)=0.8

P(A)=0.8

,

P(B∣A)=0.3

P(B∣A)=0.3

,

P(B∣ A)=0.9

P(B∣A¯)=0.9

.

What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event

(A∩ B¯ )∪( A¯ ∩B)

(A∩B¯)∪(A¯∩B)

. [(A∩ B¯)(A∩B¯)

: if he goes on Saturday he won't go on Sunday

A¯∩B

A¯∩B

: if he did not go on Saturday, he will go on Sunday].

We have:

P

((A ∩ B)∪(A ∩B))

=

P(A∩ B )+

P(A∩B)

=

P( B ∣A)

P(A)+

P(B∣ A)

P( A)

=

(1−P(B∣A))

P(A)

+

P(B∣ A)

(1−P(A))

=(1−0.3)×0.8+0.9×0.2

The prob of Aaron going to the gym on exactly one of the two days is =0.74.

P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)

Answer:

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

Step-by-step explanation:

From the given information:

The null hypothesis and alternative hypothesis is given as:

[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]

And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]

The significance level ∝ = 1 - 0.99 = 0.01

We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.

Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01

∴

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

Answer:

x+y-8=0

Step-by-step explanation:

It makes the most sense

Based on the table of Motor Vehicle Deaths, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

When something is said to be per capita, it means that it is per person in the population.

The motor vehicle deaths per capita for Ohio can therefore be found by the formula:

= MV Deaths in Ohio / Ohio population

= 1,021 / 11.35 million

= 0.00009 deaths per capita

In conclusion, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

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Answer:

195.45 in

Step-by-step explanation:

Step one:

given

sphere has a radius of 3.6 centimeters.

Required:

the volume of a sphere

The formula for the volume is

V=4/3πr^3

Step two:

subsituting we have

V=4/3*3.142*3.6^3

v=4/3*3.124*46.65

v= 586.37/3

v=195.457 in

to the nearest hundreth 195.45 in

Answer:

A. Substitution

Step-by-step explanation:

You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are

Answer:

it's A

(15 * 10 ^ 5) binom 5*10^ 3 ) =300

(15 * 10 ^ 5)/(5 * 10 ^ 3)

(10 ^ 5)/(10 ^ 3) = 10 ^ 2

= (15 * 10 ^ 2)/5

: 15/5 = 3

= 3 * 10 ^ 2 = 3 * 10 ^ 2

3 * 10 ^ 2 = 300

=300

The maximum amount to donate to the summer camp fund is $2,250.

2. The equation that shows the maximum amount to donate is y = 4.5x.

An equation is a mathematical statement that two values are equal.

Using an equation, two mathematical expressions are stated to have equivalent values.

Equations are expressed using the equation symbol (=).

The expected number of theater goers = 500 persons

Admission charge per person = $10

Movie Theater's rental fee = $5.50

Ticket fee = $4.50 ($10 - $5.50)

Let y be the maximum amount to donate to the summer camp fund

Let x be = 500

y = (10 - 5.50)x

y = 4.5x

The required equation for the maximum amount to donate is y = 4.5x

y = 4.5 x 500

y = 2,250

Thus, the maximum amount to donate to the summer camp fund is $2,250.

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As part of a community service project at your house score, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.

What is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve it.

The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = 6

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total amount paid = $6.00

Total copies = 68

Cost of black-and-white copy = $0.08

Cost of color copy = $0.15

Now, Let number of black-and-white copies = b

And, Number of color copies = c

Hence, The equation become;

b + c = 68

0.08b + 0.15c = 6

Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = $6

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The total money Paloma made = $117.25

In this question,

The price of Marigold(M) is $5.75.

The price of Daisy(D) is $6.25.

The price of Roses(R) is $2.50.

The price of Lilies(L) is $3.75

She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.

Let s be the total money Paloma made

so we get an expression,

S = 8M + 10D + 5(R/2) + 2(L/3)

Now substitute the respective value

S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)

S = 46 + 62.5 + 6.25 + 2.5

S = $117.25

Therefore,  the total money Paloma made = $117.25

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Answer:

Step-by-step explanation:

[tex]2(6−4x)>18−2x[/tex]

Multiply the terms in the bracket

[tex]12 - 8x > 18 - 2x[/tex]

Move 12 to the other side of the inequality

[tex] - 8x > 18 - 12 - 2x \\ - 8x > 6 - 2x[/tex]

Move - 2x to the other side of the inequality

[tex] - 8x + 2x > 6 \\ - 6x > 6[/tex]

Divide both sides by - 6

[tex] \frac{ - 6x}{ - 6} > - \frac{6}{6} \\ x > - 1[/tex]

Reverse the sign

We have the final answer as

Hope this helps you

Answer:

What the other dude said

Step-by-step explanation:

bruh

Answer:

49.0809

Step-by-step explanation:

Round it up to 49.10

Answer:

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

Ignoring the hexagon in the middle, we'll count the number of squares:

This is an AP with the first term of a₁ = 0 and common difference of d = 6.

Explicit formula for an AP is:

Substitute the first term a₁ and common difference d into equation:

The 24th term is:

Count the number of circles:

This is an AP with the first term of a₁ = 3 and common difference of d = 2.

The explicit formula for this AP is:

The 24th term is:

Answer:

V = 127.5in^3

Step-by-step explanation:

The volume of a rectangular prism is:

Volume = length x width x height

Therefore, in this equation it would look like this:

Volume = (5) x (5) x (5.1)

Volume = 127.5in^3

The volume of the computer is 127.5in^3.

I hope this helps!!

- Kay :)

Answer: The small side is 11, and the other two are 55, 55,

Step-by-step explanation:

So the perimeter adds up to 121 inches.

we know that two of the sides are 5x the 3rd side while being congruent.

11 times 5=55. 55 times 2=110. 110+11=121

Answer:

The third side is 11 inches

the 2 equal sides are 55 inches each side.

Step-by-step explanation:

X + 2(5x) = 121

x + 10x = 121

11x = 121

x = 121/11

x = 11

The statement is False.

Given that the SP is $0.60 per unit and the CP is $0.36 per unit.

So, profit per unit = $(0.60-0.36)

                            = $ 0.24

So, now we have to check whether 2500 units sales is required if we want a profit of $900.

To check we have to multiply the profit per unit with the sales,

      ⇒ 0.24 × 2500

      ⇒ $ 600

We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]

                                                                = 3750 units

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Answer:

I think that it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

Answer:

0.834 hours

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = 1/1/5 = 5 hours

For 1/6 mile = 1/6 *5 = 0.834 hours

It will take 0.834 hours to walk 1/6 mile.

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

[tex] \large{ \boxed{ \tt{Answer : - 3}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 --------

Answer:

It's f(x)=2x^2/x^2+2x-3.

Step-by-step explanation:

The function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have functions shown in the options:

After drawing the functions on the coordinate plane we will  see,

[tex]\rm f(x) = \dfrac{2x^{2}}{x^{2}+2x-3}[/tex]

x = -3 and x = 1

Horizontal asymptote: y = 2

Thus, the function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

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Answer:

1.3

Step-by-step explanation:

Answer:

3x = 15 x=5

1x -10=15 x=25

2x-25= 15 x=20

2x+11=15 x=2

-2x+25=15 x= -5

and so on

Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180