All categories

3 years ago

Which of the following is the solution to the equation - n/2 + 14 = 0 ?

1 answer:

4 0

The answer is n=28;

1. Subtract 14 from both sides (-n/2 = -14)

2. Multiply by 2 on both sides to get rid of the fraction (-n = -28)

3. Divide by -1 to get n by itself (n = 28)

You could also eliminate step three by multiplying by -2 instead of just 2.

Hope this helps!

You might be interested in

Apple juice has 216 grams of sugar for every 8 servings. The soda has 234 grams of sugar for every 9 servings

pav-90 [236]

Answer:

Apple juice contains 1728 g sugar whereas soda contains 1404 g sugar

Step-by-step explanation:

3 0

3 years ago

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

NikAS [45]

Answer:

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

$\frac{AB}{AD}$ = $\frac{BC}{DE}$

BC = $\frac{AB}{AD}$ x DE

= $\frac{8}{8 + 4}$ x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0

3 years ago

Natali5045456 [20]

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

3 0

3 years ago

Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)

algol [13]

Answer:

The measures of the angles are 85 and 95 degrees each.

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees.

Therefore, set up an equation and solve for the variable x in the first place.

(8x-3)+(7x+18)=180

8x-3+7x+18=180

8x+7x-3+18=180

15x-3+18=180

15x+15=180

15x=165

x=165/15

x=11

Angle 8x-3=8(11)-3=88-3=85.

Angle 7x+18=7(11)+18=77+18=95.

3 0

3 years ago

Read 2 more answers

Miles draws three cards at random from a standard deck of 52 cards, without replacement.

o-na [289]

Answer:

P( red, red, red no replacement ) = 2/17

P( 3 cards with same rank, no replacement) = 1/425

Step-by-step explanation:

There are 52 cards, 26 are red

P( red) = red/total =26/ 52 = 1/2

Now draw the second card without replacement

There are 51 cards, 25 are red

P( red) = red/total =25/51

Now draw the third card without replacement

There are 50 cards, 24 are red

P( red) = red/total =24/50 = 12/25

P( red, red, red no replacement ) = 1/2 * 25/51 * 12/25 = 2/17

P ( all have the same rank)

There are 52 cards, 4 of each rank

We don't care what the first rank is, now the second and third draw have to have the same rank as the first

P( rank) = 1/1

Now draw the second card without replacement

There are 51 cards, 3 are left with the same rank

P( same rank) = cards with same rank/total = 3/51

Now draw the third card without replacement

There are 50 cards, 2 are left with the same rank

P( same rank) = cards with same rank/total = 2/50 = 1/25

P( 3 cards with same rank, no replacement) = 1 * 3/51*1/25 = 1/425

4 0

3 years ago