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3 years ago

Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.

1 answer:

6 0

14, 18, 22, 26, 30, . . . = 14, 14 + 4, 14 + 8, 14 + 12, 14 + 16, . . . = 14, 14 + 1(4), 14 + 2(4), 14 + 3(4), 14 + 4(4), . . . = 14 + 4(n - 1) = 14 + 4n - 4 = 4n + 10

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a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many cal

Leona [35]

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/4
96 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

7 0

3 years ago

What is the answer to 5+5(x+4)≤20?

Nata [24]

$5+5\left( x+4 \right) \le 20\\ \\ 5\left\{ 1+\left( x+4 \right) \right\} \le 20\\ \\ \frac { 1 }{ 5 } \cdot 5\left\{ 1+\left( x+4 \right) \right\} \le 20\cdot \frac { 1 }{ 5 }$

$\ \\ 1+\left( x+4 \right) \le 4\\ \\ 1+x+4\le 4\\ \\ x+5\le 4\\ \\ x\le 4-5\\ \\ x\le -1$

7 0

3 years ago

Read 2 more answers

Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4.

Fynjy0 [20]

Answer:

Part a) The raisins cost $0.8 per ounce

Part b) 1.25 ounces

Step-by-step explanation:

The correct question is

Jackson bought 5 ounces of raisins for $4 dollars.

a) How much do raisins cost per ounce?

b) How many ounces of raisins can be bought for $1?

Part a) How much do raisins cost per ounce?

we know that

To find out the unit rate divide the total cost by the total weight

$\frac{4}{5} =\$0.8\ per\ ounce$

therefore

The raisins cost $0.8 per ounce

Part b) How many ounces of raisins can be bought for $1?

we know that

The raisins cost $0.8 per ounce

using proportion

Find out how many ounces of raisins can be bought for $1

Let

x -----> the ounces of raisins

$\frac{1}{0.8}=\frac{x}{1}\\\\x= 1.25\ ounces$

8 0

3 years ago

Read 2 more answers

What is the unit price for one cd if 3 cds cost 29.85?

zavuch27 [327]

You would do 29.85 ÷ 3 which equals 9.95. You would do the in verse operation. Hope I helped you.

5 0

3 years ago

If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year

Diano4ka-milaya [45]

We are not told how often the interest is compounded, so assuming it is compounded yearly, you need to keep $9.99 in the account to pay the fee.

Explanation: 
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.

For our problem: 
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.

This gives us: 
9.99=p(1+0.00018)^1;
9.99=p(1.00018).

Divide both sides by 1.00018: 
9.99=p.

3 0

3 years ago

Read 2 more answers