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avanturin [10]
3 years ago
12

Bill is doing a fundraiser for soccer. He needs to sell at least $100 worth of items. Candy bars cost $2 each and shirts cost $1

0 each. He must sell more than 4 candy bars
Mathematics
1 answer:
katrin [286]3 years ago
5 0

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Which of the following is a solution to the inequality below?
JulsSmile [24]

Answer:1

Step-by-step explanation:

-12 - 8(5)= -52

-6> -52

8 0
3 years ago
Read 2 more answers
3 geometry questions, 30 points!
polet [3.4K]

Answer:

A ) The value of x for  the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

<u>For Figure first  </u>

A circle with center y ,  having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y  and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴       x = \frac{25}{3} = 8.33

<u>For figure second</u>

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = \sqrt{AB^{2}+BC^{2}}

Or, The Length of diameter of circle AC = \sqrt{1.2^{2}+0.5^{2}}

Or, The Length of diameter of circle AC = \sqrt{1.44+0.25}}

Or, The Length of diameter of circle AC = \sqrt{1.69}

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = \pi d

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for  the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

8 0
3 years ago
Read 2 more answers
What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to
xxMikexx [17]

Answer:

The answer to your question is  Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

   circumference = 2πr

-Substitution

   2.9 = 2πr

-Solve for r

   r = 2.9/2π

   r = 1.45/π cm

2) Calculate the volume of the cone

   Volume = 1/3πr²h

-Substitution

   Volume = 1/3π(1.45/π)²(14.9)

-Simplify

   Volume = (1.04)(0.213)(14.9)

   Volume = 3.30 cm³

5 0
3 years ago
After how many years will Mr.Rodriguez have increased his original investment by more than 50%? Explain your reasoning
IgorLugansk [536]

Answer:

elaborate, this is vague

Step-by-step explanation:

3 0
3 years ago
It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?
BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e y \propto\frac{1}{x} or

y =\frac{k}{x} ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with  more pumps, so it is an inverse variation.

By definition of inverse variation;

time = \frac{k}{pump}

Substitute the values to solve for k;

8 = \frac{k}{3}

Multiply by 3 to both sides we get;

8 \times 3 = \frac{k}{3} \times 3

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0
3 years ago
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