Simplify -3 (n - 7) using the distributive
property

Answers

Answer 1
Answer:

Answer:

-3n-+21

Step-by-step explanation: 1. Get rid of the Parenthesis , so times -3 by what’s inside

2. If you multiply -3 by n you get -3n

3. if you multiply -3 by -7 you get 21 , you get a positive because a negative times a negative is a positive

4. so now you have -3n + 21 you don’t add these because -3n has a variable and 21 doesn’t have a variable , and if 21 did have a variable it would need to also be n

Answer 2
Answer:

Answer:

−3n  +  21

Step-by-step explanation:

This is the answer because:

1) You have to distribute everything from outside of the parenthesis to the inside

2) -3 times n is -3n

3) -3 times -7 is 21

4) Therefore, the answer is −3n  +  21

Hope this helps!


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PLZ HAAAALPOne winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?

Answers

Answer:

-3°F

Step-by-step explanation:

-15 + 12 = -3

Answer:

-3

Step-by-step explanation:

Jeremy is 29 years old and in good health. What is the annual premium for the cheapest policy having a $90,000 face value that Jeremy can buy?For age 29, a male whole life if 18.25, 20-payment life is 31.39, and 20-year endowment is 39.69.


a.

$1,825

b.

$1,294

c.

$1,929

d.

$1,643

i just did it and its D

Answers

1643 is the annual premium for the cheapest policy Jeremy can buy.

What is Annual Premium?

The amount of money a business or an individual pays for a policy annually is called the annual premium.

Face value is the amount of benefits in the form of money or other beneficiaries a policy holder receives at maturity.

Age of Jeremy = 29

Face value of the policy = $90,000

Estimated annual premium = (Face value ÷ 1000) × rate

Annual premium payable for a man whole life = (90,000 ÷ 1000) × 18.25

                                                                             = 90 × 18.25

                                                                             = 1642.5 ≅ 1643

Hence, Annual premium for the cheapest policy having a 90,000 face value that Jeremy can buy is $1643.

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Answer:

Step-by-step explanation:

D

Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =12? Which ones would work?

Answers

Answer:

Step-by-step explanation:

The given linear equation can be reduced, ending up as  

y - x = 4   or   y = x + 4

If we choose our own x values, we can calculate the corresponding y value in each case:

x     y = x + 4    ordered pairs

0     4                (0, 4)

1      5                 (1, 5)

3      7                (3, 7)

-2     2                (-2, 2)

A farmer harvested 35 arces of corn. Animals ate 1/8 of the corn he orginally planted. How many arces of corn did the farmer plant?

Answers

The farmer planted 39.37 acres of corn because 1/8 of 35 is 4.37, and if you add the amount he harvested to the amount the animals ate, you get 39.37 acres of corn originally planted.

Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

Answers

The rectangle with a certain area and the smallest perimeter
is always a square.

343 = 7³

If the area is 343 m², then the rectangle with the smallest perimeter
is the square with sides of

               √343  =  (7)^ ¹·⁵  =  7 √7 meters

Final answer:

To find the dimensions of a rectangle with the smallest possible perimeter given an area of 343 m², we must determine the dimensions that will minimize the sum of the lengths of the four sides. The dimensions of the rectangle are 7 m by 49 m.

Explanation:

To find the dimensions of a rectangle with the smallest possible perimeter given an area of 343 m², we must determine the dimensions that will minimize the sum of the lengths of the four sides. Since the perimeter is the sum of the lengths of the opposite sides of a rectangle, we can rewrite the perimeter formula as P = 2l + 2w, where l represents the length and w represents the width.

Now, let's solve for the dimensions:

1. Start with the formula for the area of a rectangle: A = lw.

2. Substitute the given area: 343 = lw.

3. Rewrite the perimeter formula: P = 2l + 2w.

4. Express one variable in terms of the other using the area formula: l = 343/w.

5. Substitute the expression for l in the perimeter formula: P = 2(343/w) + 2w.

6. Simplify the equation: P = (686/w) + 2w.

7. To find the minimum perimeter, differentiate the equation with respect to w and set it equal to zero: 0 = (686/w²) + 2.

8. Solve the equation for w: (686/w²) + 2 = 0. Subtract 2 from both sides: 686/w² = -2. Multiply both sides by w²: 686 = -2w².

9. Divide both sides by -2: -343 = w². Take the square root of both sides (ignoring the positive value since the width cannot be negative): w = -√343 = -7.

10. Substitute the value of w back into the area formula: 343 = l(-7). Solve for l: 343 = -7l. Divide both sides by -7: l = 343/-7 = -49.

Since both dimensions cannot be negative, we ignore the negative values and take the absolute values of w and l: w = 7 and l = 49.

Therefore, the dimensions of the rectangle with an area of 343 m² and the smallest possible perimeter are 7 m by 49 m.

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Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians