simplify 8-(3a+8)=
havent done these in a while so...​

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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much love <333 good bye!!

Answer:

3

Step-by-step explanation:

42 is 2 x 3 x 7

81 is 3 x 3 x 3 x 3

3 is the greatest common factor

Answer:

3

Step-by-step explanation:

3 is the greatest common factor of 42 and 81

Answer:

7 seconds

Step-by-step explanation:

Given the height equation of the motion;

s = -16t^2 + 256t

At s = 1008 ft

The equation becomes;

1008 = -16t^2 + 256t

16t^2 - 256t + 1008 = 0

Solving the quadratic equation for t;

Factorising, we have;

16(t-7)(t-9) = 0

t = 7 or t = 9

When the ball is going up it would reach the given height at time t = 7 seconds.

When it is coming down it would reach the given height at time t = 9 seconds.

Answer

2(7x + 3) - x

= 13x + 6

Explanation

2(7x + 3) - x

= 14x + 6 - x

= 14x - x + 6

= 13x + 6

Hope this Helps!!!

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The quotient will be :

Remainder :

Solution is in attachment ~

Answer:

\(1828 \div 56 \\ = 32\)

\(remainder = 36\)

Please refer the attachment for step by step explanation

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

The Population Changes table indicate the following percent of change of the three towns

Question 1: The percent of change for Centerville is about 29.6%

Question 2: The town with the greatest percent of change is Riverview

Question 3: The percent of change for Riverview is about 51%

A percent of change is the change in the value of a parameter, expressed as a percentage.

Question 1: The population Centerville in 2000 = 37,065

The population of Centerville in 2010 = 26,102

The percentage change can be found using the formula;

\(Percentage \ change=\dfrac{New \ value - Initial \ value}{Initial\ value} \times 100\)

The percentage change for Centerville is therefore;

\(Percentage \ change=\dfrac{Population \ in \ 2010-Polulation \ in \ 2000}{Population \ in \ 2000} \times 100\)

From which we get;

\(Percentage \ change \ for \ Centerville=\dfrac{26102-37065}{37065} \times 100 \approx -29.6\%\)

Question 2:

The percent of change for the town of Lakeside is found as follows;

Percentage change = ((45,863 - 51,342)/(51,342)) × 100 ≈ -10.7%

The percent of change of the population of Riverview is found using the percentage change formula as follows;

Percentage change = ((63017 - 41726)/(41726)) × 100 = 51%

Therefore, the town that had the greatest percent of change is is Riverview

Question 3: The percent of change for Riverview is about 51%

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The pieces of rope measuring a yard can he divide his rope into1/4 would be 96.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Chad has a rope that is 24 yards long. He wants to divide the rope so each piece will be 1/4 yards

= 24÷1/4

= 24× 4

= 96

Hence he can divide the rope into 96 pieces.

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(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer: You get to keep 1,673.24

You pay 272.38 in taxes.

Answer:

23

Step-by-step explanation:

this is because it is 23

Answer:

speed=distance ÷time

speed=748÷12

speed=6.333

The component form of the path the airplane will actually travel is (635.2 mph, -42.3 mph), the resultant vector magnitude is approximately 639.5 mph, and the resultant vector direction is approximately -3.0°.

To find the component form of the path the airplane will actually travel, we need to consider the effect of the wind on the airplane's motion.

Let's break down the airplane's velocity and the wind's velocity into their respective horizontal (x) and vertical (y) components.

Given:

Airplane's velocity = 700 mph due east

Wind's velocity = 80 mph at an angle of 63° East of South

The horizontal component of the airplane's velocity remains unchanged since it is traveling due east. Therefore, the horizontal component is 700 mph.

The wind's velocity can be resolved into its x and y components as follows:

Wind's horizontal component = wind's speed * cos(angle)

Wind's vertical component = wind's speed * sin(angle)

Wind's horizontal component = 80 mph * cos(63°)

Wind's vertical component = 80 mph * sin(63°)

Now, we can calculate the resultant vector of the airplane's motion by adding the horizontal components and the vertical components separately.

Resultant horizontal component = Airplane's horizontal component + Wind's horizontal component

Resultant vertical component = Airplane's vertical component + Wind's vertical component

Resultant horizontal component = 700 mph + (80 mph * cos(63°))

Resultant vertical component = 0 + (80 mph * sin(63°))

Next, we can express the resultant vector in component form:

Resultant vector = (Resultant horizontal component, Resultant vertical component)

To find the magnitude of the resultant vector, we can use the Pythagorean theorem:

Resultant magnitude = sqrt((Resultant horizontal component)^2 + (Resultant vertical component)^2)

Finally, we can find the direction of the resultant vector by calculating the angle it makes with the positive x-axis using the inverse tangent:

Resultant direction = tan⁻¹(Resultant vertical component / Resultant horizontal component)

Now, let's calculate the values:

Resultant horizontal component ≈ 635.2 mph

Resultant vertical component ≈ -42.3 mph

Resultant magnitude ≈ 639.5 mph

Resultant direction ≈ -3.0° (rounded to the nearest degree)

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Answer:

A

Step-by-step explanation:

The expected number of coupons that will be redeemed is 0.96.

Given data:

To find the expected number of coupons that will be redeemed, multiply the probability of redemption for a single coupon by the number of coupons distributed.

Given that 16% of $10-off coupons delivered by mail are redeemed, the probability of redemption for a single coupon is 0.16.

Since six customers are randomly selected and mailed coupons, the number of coupons distributed is 6.

Therefore, the expected number of coupons that will be redeemed is:

Expected number of redeemed coupons = Probability of redemption * Number of coupons distributed

= 0.16 * 6

= 0.96

Hence, the expected number of coupons is 0.96.

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

See the answers below. Thanks!

Step-by-step explanation:

(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."

(b). P(X=15) = 0.1702

(c). P(X<15) = 0.0673

(d). P(X>=15) = 1 - P(X<15) = 0.9327

(e). P(13<=X<=15) = 0.1482

Best Regards!

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.

To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:

Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.

There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.

Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,

So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.

As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.

Number of sets of five marbles that include both the lavender one and exactly one yellow one:

We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.

We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.

To find the number of sets that include both, we can choose any one yellow marble and the lavender one.

There are 2 choices for the yellow marble and 1 choice for the lavender one,

So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.

Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:

Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.

The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,

So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.

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Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

Answer:

100

Step-by-step explanation:

80+20=100

Answer:

100 cubic units

Step-by-step explanation:

I'm just different like that man

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

It is noticed that the factors then the x-intercepts are the same value as that of factors.

Given that, the quadratic equation represented on the graph in factored form is y=(x-3)(x+2).

From the graph, x-intercepts are x=-2 and x=3.

The vertex of the given quadratic graph is (0.5, -6)

Therefore, it is noticed that the factors then the x-intercepts are the same value as that of factors.

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Answer:

Step-by-step explanation:

denote x as total students

lcm of 6 and 8 is 24 (so none left over)

keep trying becuz you wanna find the lowest possible number

48, 72

72 works.

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

With the given compound interest, the required quarterly payment is $38,745.74.

What is Compound interest?

Compound interest is the interest that is calculated on the initial principal as well as the accumulated interest of previous periods. In other words, it is the interest on interest. The interest is added to the principal at the end of each compounding period, and then the new total amount becomes the principal for the next period's interest calculation.

Now,

The amount financed is equal to the purchase price minus the down payment:

Amount financed = $5,000,000 - 0.15($5,000,000) = $4,250,000

To find the quarterly payment,

PV = Pmt * (1 - (1 + r)⁻ⁿ) / r

where PV is the present value (amount financed), Pmt is the quarterly payment, r is the quarterly interest rate, and n is the total number of quarterly payments (11 years x 4 quarters/year = 44 quarters).

The quarterly interest rate is equal to the annual interest rate divided by 4:

r = 0.091 / 4 = 0.02275

Substituting the values, we get:

$4,250,000 = Pmt * (1 - (1 + 0.02275)⁻⁴⁴) / 0.02275

Solving for Pmt, we get:

Pmt = $38,745.74

Therefore, the required quarterly payment is $38,745.74 (rounded to the nearest cent).

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To draw a perpendicular from a vertex of a triangle, we can draw a straight vertical line from the vertex to the base. The base is the side opposite the vertex and the vertex could be any of the corners on a triangle. See the picture shown in the attachment!

A perpendicular is a straight line at an angle of 90° to another line. It is also called right angle. A little square box usually drawn in the figure shows that it is perpendicular.

There are many kinds of triangles. In this case, we try to draw a perpendicular of 3 kinds of triangles shown in the picture.

The simplest way to draw a perpendicular from the vertex of a triangle is as explained above. Let's elaborate it.

The line will give us the height of a triangle. The height can be used to find the area of the triangle.

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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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9514 1404 393

Answer:

  n = 6

Step-by-step explanation:

Add 2 and collect terms

  3n = 18

Divide by 3

  n = 6

Answer: n=6

Step-by-step explanation:

First combine like terms, 6n and -3n to get 3n. Them add 2 to both sides and get 3n=18. Divide both sides by three amd get n=6

Answer:

i think it is between 22 and 35

Step-by-step explanation: