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Stella [2.4K]
3 years ago
12

Billy is helping to make pizzas for a school function. He's made 25 pizzas so far. His principal asked him to make at least 30 p

izzas but no more than 75. Solve the compound inequality and interpret the solution.
30 ≤ x + 25 ≤ 75
Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer: Number of pizzas would be less than 5 but not more than 50.

Step-by-step explanation:

Since we have given that

Number of pizzas so far = 25

His principal asked him to make at least 30 pizzas but no more than 75.

According to question, we have

30 ≤ x + 25 ≤ 75

First we subtract 25 from both the sides:

30-25\leq x \leq 75-25\\\\=5\leq x\leq 50

Hence, number of pizzas would be less than 5 but not more than 50.

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What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)
gizmo_the_mogwai [7]

The circumference of the circle is 75.36 cm.

  • Step 1: Given data:

Diameter of the circle is 24 cm,

\pi = 3.14

  • Step 2: Formula used and calculation:

Circumference of the circle is 2\pi r.

So, Radius, r = 24/2 = 12 cm.

Now, Putting the value in the above formula, we get

2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.

Hence, the circumference of the circle is 75.36 cm.

Learn more about circumference of the circle, refer:

brainly.com/question/23964435

8 0
2 years ago
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
liraira [26]

APR refers to annual interest rate i e 4.5%

Difference:-

  • 800-640
  • 160$

Now

Interest:-

  • 160(0.045)
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Total savings:-

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Remember the code:-

  • Question's calculations mostly given in its options
4 0
2 years ago
The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with
Sidana [21]

Answer:

(a) y = 6250x +17850 --- The function

(b) y = 49100 --- The salary in 5 years

Step-by-step explanation:

Given

y = 1250x + 22850

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{36600 - 24100}{3 - 1}

m = \frac{12500}{2}

m = 6250

The function is then calculated as:

y = m(x - x_1) + y_1

y = 6250(x - 1) + 24100

y = 6250x - 6250 + 24100

y = 6250x +17850

Solving (b): Salary in 5 years

Here:

x = 5

So:

y = 6250x +17850

y = 6250*5 +17850

y = 49100

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3 years ago
In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show
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Answer:

260

Step-by-step explanation:

Number of hours in one year = 365 x 24 x 60 = 525600

(365 days, 24 hours per day, 60 minutes per hour)

One prize is won every 2018 minutes so in 525600 minutes

525600 / 2018 = 260 prizes will be won  (The answer is 260.46, which rounds to 260)

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Darina [25.2K]

Answer: I’m assuming that these are Angle measures. S=3

Step-by-step explanation:

180/3=60

20*3=60

S=3

3 0
3 years ago
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