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hram777 [196]
3 years ago
14

2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
Answer:

k= -8

Explaining:


Move variable to the left-hand side and change its sign.

2.25k - 6.5k - 20= 6.5k - 6.5k + 14


Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

-4.25k = 35


Divide both sides of the equation by -4.25

So you will get the answer: k= -8
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Last summer ,at camp okey fun okey,the ratio of the number of boys campers to the girls campers was 8:7. If there were a total o
olya-2409 [2.1K]
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.

We are told that there are 195 total campers.

To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104  boys

To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls

Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.




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3 0
3 years ago
A flagpole broke in a storm. It was originally 81 8181 feet tall. 28 2828 feet are still sticking straight out of the ground, wh
solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

hyp^2 = adj^2 + opp^2

=> 53^2 = x^2 + 28^2

3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft

The end of the flagpole is 50.79 ft away from the base of the pole.

7 0
3 years ago
Find the volume of the prism below. ​
prohojiy [21]

Answer:

72 units³

Step-by-step explanation:

length = 12 units

height = 4 units

width = 3 units (8 - 5 = 3)

12 x 3 x 4 = 144

144 / 2 = 72

8 0
3 years ago
Read 2 more answers
Use distributing property : (-11) x (-15) + (-11) x (-25) plzz answer fast
Semmy [17]
The answer is 440.
What I do is just take the -11 and -15 out of the parentheses so it is -11*-15 and the answer is 165. Then, you take -11 and -25 out of the parentheses and find the answer.
Add them together.
Hope that helped :)
5 0
3 years ago
7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
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