Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answers

Answer 1

Answer: Call the number of bracelets sold x. Gvien that there are 100 bracelets: x < or equal than 100 Earnings = 5x => 5x > or equal than 300 => x > or equal than 300 / 5 => x > or equal than 60. Then, you obtain 60 < or equal than x < or equal than 300.

Answer 2

Answer:

Answer:

Amount needed by Zoya to meet her fundraising goal ≥ $ 300

Number of Bracelets possessed by Zoya = 100

Cost of single bracelet = $ 5

To meet her goal , we need to convert these statement into equation

Let number of Bracelets sold = x

1. x≤ 100

2. 5 x ≥ 300

Dividing both sides by 5, we get

x ≥ 60

The two inequality are : x ≤ 100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

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Which expression can be used to model the phrase “the sum of three and a number”? 3+x x-3

Answers

Answer:

3+x

Step-by-step explanation:

“the sum of three and a number”

Frame an expression for the given statement

Expression contains variables and operators like add, subtract , multiply and divide

LEt the unknown number be x

Sum represents the addition of two numbers

Sum of three and a number means the addition of 3 and number x

So the expression become 3+ x

a=3+b. That is a reasonable expression, because a= the sum of 3 and b, an unknown number.

Solve what is 1/2 x 15

Answers

The equivalent value of the expression (1/2 x 15) is 7.5.

What is algebraic expression?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is to solve the expression as -

1/2 x 15

We can write the expression as -

{x} = 1/2 x 15

{x} = 15/2

{x} = 7.5 x 2/2

{x} = 7.5

Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.

To solve more questions on expressions, visit the link below -

brainly.com/question/27911936

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Answer:

7.5

Step-by-step explanation:

it's basically just 15 divided by 2

How do i graph this inequality y < -3

Answers

put a point on -3 on y-axis and graph a straight line that is parallel to x-axis then color under the line because -3 is greater :)))
i hope this is helpful
have a nice day

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

$f(x)=A(1+r)^x$ , where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

$f(4)=60(1.15)^4\approx104.94$

Now, at x=6

$f(6)=60(1.15)^6=138.78\approx139$

Now, at x=7.86

$f(7.86)=60(1.15)^(7.86)=179.98180=3(60)$

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

$f(8)=60(1.15)^8=183.54\approx184$

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

Joey can assemble all of his factory work in four hours. Phil takes six hours to assemble the same amount of factory work. If they worked together to assemble the same job together, how long would it take?

Answers

Mean time : $\frac{4+6}2=5$

Since they're two, it would take $\frac{5}2=\boxed{2.5\text{ hours}}$

Determine the number of ways to choose a set of 9 pencils from a selection of 10.

Answers

Answer:

The number of ways to choose a set of 9 pencils from a selection of 10 is 10.

Step-by-step explanation:

According to the combination formula, the total number of ways to select r items from total n items is

$^nC_r=(n!)/(r!(n-r)!)$

Total number of pencils = n = 10

Number of selected pencils = r = 9

The number of ways to choose a set of 9 pencils from a selection of 10 is

$^(10)C_(9)=(10!)/(9!(10-9)!)$

$^(10)C_(9)=(10* 9!)/(9!1!)$

$^(10)C_(9)=10$

Therefore the number of ways to choose a set of 9 pencils from a selection of 10 is 10.

label the pencils:
a b c d e f g h i j
choosing 9 of them will exclude one. There are 10 pencils, so 10 opportunities to exclude one of them. So there are 10 ways, to answer your question.

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