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satela [25.4K]
3 years ago
5

Ms. Grayson has budgeted $6500 for a computer lab in her school.

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

c.750+60t s6500

this is the correct one

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From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C.
o-na [289]
<h3>Answer: B. 6</h3>

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

6 0
2 years ago
A product costs $48.50 for 75 feet. How much does it cost per inch?
gayaneshka [121]
0.0538888889 per inch
3 0
3 years ago
Read 2 more answers
An investment of P dollars increased to A dollars in t years. If interest was compounded continuously, find the interest rate. (
Gemiola [76]

Answer: the interest rate is 6%

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

A = $4482

P = 1000

t = 25 years

Therefore,

4482 = 1000 x 2.7183^(r x 25)

4482/1000 = 2.7183^25r

4.482 = 2.7183^25r

Taking ln of both sides, it becomes

Ln 4.482 = 25rLn2.7183

1.5 = 25r

r = 1.5/25 = 0.06

r = 0.06 × 100 = 6%

5 0
3 years ago
Chen rode his skateboard 3 1/4 miles in 1/3 of an hour. What was his average speed in miles per hour
sdas [7]

Answer:

9.75 mph

Step-by-step explanation:

3 1/4 ÷ 1/3 = 9 3/4

7 0
3 years ago
deja bought a bag of mixed nuts the bag has 1/3 pounds of nuts she and her three friends split the nuts equal how much did each
Ira Lisetskai [31]

Answer:

Each friend gets 1/12

Step-by-step explanation:

1/3 pounds of nuts in total

4 people

1/3 / 4

1/3 * 1/4 = 1/12

6 0
3 years ago
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