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qaws [65]
3 years ago
8

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, bu

t it must spend $15 per race to cover the cost of the race.
Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
Show your work.
Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

race entry costs 55, they use 15 of it to cover costs so they get 55-15 = 40 per entry

 x = race entries

equation becomes 55000>= 40x +10000

45000>= 40x

x >= 45000/40 >= 1125

 they need at least 1125 race entries to make $55,000

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Given the Arithmetic series A1+A2+A3+A4
natali 33 [55]

Answer:

S _{19}  = 760

Step-by-step explanation:

a1 = 13 \\ a2 = 16 \\ d = a2 - a1 = 16 - 13 = 3 \\ d = 3 \\ a _{n}  =  l = 67 \\

now,

a _{n} = a + (n - 1) \times d \\ 67 = 13 + (n - 1) \times 3 \\ 67 = 13 + 3n - 3 \\ 67 - 13  + 3 = 3n \\ 57 = 3n \\ 3n = 57 \\  \\ n =  \frac{57}{3}  \\  \\ n = 19

now the sum of the numbers

S _{n} =  \frac{n}{2} (a + l) \\  \\ S _{19}  =  \frac{19}{2}   (13 + 67) \\  \\ S _{19}  =  \frac{19}{2} (80) \\  \\ S _{19}  =  \frac{19}{2}  \times 80 \\  \\ S _{19}  = 19 \times 40 \\ S _{19}  = 760

8 0
3 years ago
Question 1
Alex777 [14]
Riki ...
Most questions on Brainly offer 5 points in return for answering one question,
but here you've listed five of them to be answered for 5 points.  That's kind of
much.
Also, it's not clear what cylinders Question-2 and Questioin-3 refer to. 
They might be the two pictures under the question, but we don't rally know.
Fortunately, all five of your questions are answered with the same formula ...
the formula for the volume of a cylinder.
Here it is:

         Volume of a cylinder = ( π ) · (radius)² · (height or length)  .

                                       V  =  π  R²  H  .

That's it.  That's all you need to answer any or all of the five questions.
So I've actually given you everything you need to answer them, and in
doing that, I've already earned 5 points.  But, being the ever helpful guy
that I am, I'll work out two of the questions for you, to show you how to
use the formula.

Question #1).  <span>A cylinder has a radius of 14 m and a height of 6 m.

              </span>Volume  =  π  R²  H 

                           =  (π)  (14m)²  (6m)

                           =  (π)  (196m²)  (6m)

                           =      1,176 π  m³  =  71,763,930 π in³

(Notice how confusingly and sloppily the question is written . . .
the dimensions of the cylinder are given in meters, but the
answer choices are listed in cubic-inches.  I've shown the
answer in both units.)

Question 5).  <span>A can has a radius of 2.8 feet and holds 86.21 cubic feet.

           </span><span>Volume  =  π  R²  H

           86.2 ft³  =  π (2.8 ft)² (Height)

            86.2 ft³  =  π (7.84 ft²) (Height)

           Height  =  (86.2 ft³) / (7.84 π ft²)

                        =         3.5 ft

</span>
5 0
3 years ago
If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided
Westkost [7]

The value of cos x⁰ from the information given is; g/h.

<h3>What is the value of cos x⁰?</h3>

According to the task content;

  • The value of cos x° from the information contained in the task content is required.

From conventional Trigonometry;

  • It follows that tan x = sin x/cos x.

On this note, it follows that;

cos x⁰ = sin x⁰/tan x⁰.

cos x⁰ = 6/h ÷ 6/g

cos x⁰ = g/h

Ultimately, the value of Cos x⁰ by evaluation is g/h.

Read more on Trigonometry;

brainly.com/question/24349828

#SPJ1

7 0
2 years ago
Read 2 more answers
PLS HELP! WILL GIVE BRAINLIST!
Vlad [161]

Answer:

y = 3x

Step-by-step explanation:

y = 13

x= 4

here

y∝x

that is

y= k x where k is constant

Since the equation is in the formy=kx we know that

13=K×4

k=13/4=3.25

so we can write this

y = 3.23 x ≅ 3x

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3 years ago
Solve and graph the absolute value inequality
weeeeeb [17]

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3 years ago
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