MATHEMATICS HIGH SCHOOL

Find the value of x in the figure below and give the reason.

Answers

Answer 1

Answer:

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

Step-by-step explanation:

Answer 2

Answer:

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

Related Questions

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.
5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 5L that is 12% orange juice? How many liters of the 15% orange juice should be in the mixture?
Lydia made $56,750 last year. She paid $1200 in student loan interest and made a $3000 contribution to her IRA. On her federal tax return, she will claim $4200 to be the amount of her _____. A.standard deduction B.AGI C.taxable income D.adjustments
What is 8.170 in word form
Yasmine is serving ice cream with the birthday cake at her party.She has perchased 19 1/2 pints of ice cream.She will serve 3/4 of a pint to each guest. How many guests can be served ice cream? Will there be any ice cream left?Justify your thinking

Dianna has 7 quarters, 3 dimes, and 8 nickels in her purse. She reaches into her purse and randomly grabs two coins. What is the probability that Dianna grabs a dime first and then a nickel?

Answers

There are 18 coins total in her bag:

7+3+8=18coins

3 of the 18 coins are dimes, so the odds of first drawing a dime are 3/18

P(dime)=3/18

Since the nickel was taken out and not replaced, there are now 17 coins in her purse.

18-1=17coins

8 of the 17 remaining coins are nickels, so the odds of drawing a nickel are 8/17.

P(nickel)=8/17

Now we multiply the two probabilities by eachother to find out the odds of both occurring...

P(dime)*P(nickel)=

3/18*8/17=24/306=8/103=0.078=8%

The probability of grabbing a dime and then a nickel are 8/103 or 0.078 or an 8% chance, whichever way you'd prefer to write it.

Liam bought 34
of a pound of strawberries. He used the strawberries to make 6 smoothies. If each smoothie had the same amount of strawberries, how many pounds of strawberries did Liam use to make 1 smoothie?

One-fourth pound
One-eighth pound
One-sixth pound
StartFraction 1 Over 12 EndFraction pound

Answers

Answer:

Step-by-step explanation:

Quantity of strawberry = $(3)/(4)$ of a pound

Number of smoothies = 6

To find the pounds of strawberries used to make 1 smoothie, divide the total quantity of strawberry by number of smoothies.

Pounds of strawberries used to make 1 smoothie = $(3)/(4)$ ÷ 6

Use Keep Change Flip method

$= (3)/(4)*(1)/(6)\n\n=(1)/(4)*(1)/(2)\n\n= (1)/(8)$

= one-eighth of a pound

Answer:

Step-by-step explanation:

3/4 ÷ 6

Keep the numerator exactly the same (3) and multiple the denominator by the whole number:

3/4 x 6 = 3/24

(3/24) can be simplified down to a smaller fraction:

1/8

Is x=4
X=7
Parallel, perpendicular, or neither

Answers

Answer: Parallel.

Step-by-step explanation:

Because both points run across the x-axis, never cross, and are in straight lines, the points would be known as parallel to one another.

Put it into greatest and least

Answers

Answer:

3, 1, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.) 10.5

2.) 3 $\pi$ + 1

3.) $√(105)$

Step-by-step explanation:

Simplify each first

3 $\pi$ + 1 ≈ 10.42

$√(105)$ ≈ 10.25

10.5

Order

1.) 10.5

2.) 3 $\pi$ + 1

3.) $√(105)$

A college freshman started the year with $4000 in spending money and after three months, she has $2800 left. Assume that she will continue to spend her money at this same rate.

Answers

To solve this question, you need to know the rate in which the money is being spent. First, you know the y-intercept, which is 4000, or the money she owned before spending it. Next, you know, how much she had spent in the duration of 3 months. So, if you substitute those numbers into y=ax+b, it would be 2800=-3a+4000 (or 2800=4000-3a either way it is equivalent) If you solve this, you know that the college freshman is spending her money at a rate of $400 per month. Hope this helps :)

4000-2800=1200

1200/3 equals 400 a moth

If she continues, she will have enough money for 7 more months

Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. In addition, Tamora paid $939.25 in service charges. What was Tamora’s total finance charge? Round all dollar values to the nearest cent.a.
$939.25
b.
$11,614.25
c.
$3,403.53
d.
$2,464.28

Answers

Answer : $3403.53

Detailed Solution:
principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91

principal = 10,675
interest rate = 4.75% per year compounded monthly.
additional $939.25 was paid in service charges.

Annuity Payment PV
10,675 * (4.75%/12) ÷ [1 - (1+ 4.75%/12)^-12*9]
10,675 * 0.00396 ÷ [1 - (1.00396)^-108]
42.273 ÷ (1 - 0.655)
42.273 ÷ 0.345 = 122.53

122.53 * 108 = 13,233.24 interest and principal

13,233.24 + 939.25 - 10,675 = 3,497.49

The answer is closer to Choice C. The minimal difference in amount is due to the rounding off of decimal places.

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Samir bought snacks for his team's practice. he bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. the total cost before tax was $31.19. write and solve an equation which can be used to determine xx, how much each bottle of juice cost.

What is the square root of 53

A triangle with two congruent sides is called a(n) triangle.

Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?