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schepotkina [342]
2 years ago
11

Which algebraic expression represents the phrase "seven more than half of a number"?

Mathematics
1 answer:
Vika [28.1K]2 years ago
4 0

Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

Then 7 more than  (add)

1/2x +7

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Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i
jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0
2 years ago
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Jean can swim 100 meters in 1.86 minutes. Sean can swim the same distance in 2.12 minutes. Sean takes _____ of a minute longer t
attashe74 [19]
.26 of a second, subtract 2.12 and 1.86 and you get .26 
4 0
2 years ago
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According to the number line, what is the distance between points A and B?
Ainat [17]

Answer:

D)14 units

Step-by-step explanation:

Just counts how many numbers you get from point A to B. Its pretty simple.

3 0
2 years ago
20 is 40% of what number
tensa zangetsu [6.8K]
Is means equal

of means multiplication

so

20 = 40% x a

40% = 40/100 = 4/10 = 2/5

So

20 = 2/5 x a

Multiply both sides by 5/2

20 x 5/2 = a

10 x 5 = a

a =50

So your final answer is \boxed{\bf{50}}
5 0
2 years ago
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A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 83 feet and then dr
Evgen [1.6K]

Answer:

HEY WUV!!

The answer is 189ft above

Step-by-step explanation:

20+83=103

103-42=61

61-128=189

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2 years ago
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