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3 years ago

What is the value of x? Show work.

Mathematics

1 answer:

ella [17]3 years ago

5 0

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

x=5

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You place $4,000.00 in a bank account with an interest rate of 5.25% APR and another $2,000.00 in an account with an interest ra

Mila [183]

First account
interest = 6/12 × 5.25% × 4,000
interest = 1/2 × 5.25/100 × 4,000
interest = 1/2 × 210
interest = 105 dollars

Second account
interest = 6/12 × 6% × 2,000
interest = 1/2 × 6/100 × 2,000
interest = 1/2 × 120
interest = 60 dollars

After 6 months, the first account will have earned more interest than the second account

7 0

3 years ago

What is the y-intercept of the graph that is shown below?

Gnoma [55]

Answer:

(0,4)

Step-by-step explanation:

The y intercept is where the x value is zero

x=0 and y =4

The y intercept is (0,4)

7 0

3 years ago

joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each

masya89 [10]

So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
$Jeff's\ weight = 86 \frac{2}{3} \ lbs.$

Substitute again.
$x = 2(86 \frac{2}{3} )-20$

Multiply.
$x = 173 \frac{1}{3} -20$

Subtract.
$Joe's\ weight = 153 \frac{1}{3}\ lbs.$

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

$Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.$
$Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.$

3 0

3 years ago

-2.8f+0.4f-11-4=? <br><br><br><br> HELP

Alexxandr [17]

<h2>Answer: −2.4f − 15</h2><h2>_____________________________________</h2><h3>Honey, just simplify the expression to get your answer.</h3><h3>−2.4f − 15</h3><h2>_____________________________________</h2>

Hope you have a good day, Loves!~ <3

6 0

3 years ago

A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.

valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

7 0

3 years ago