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liraira [26]
2 years ago
5

Which are correct representations of the inequality –3(2x-5) < 5(2 - x)? Select two options.​

Mathematics
1 answer:
Igoryamba2 years ago
3 0

Answer:  All the ways I solved this the answer is the same,

x>5 or (5,∞) That being the Interval Notation {The second one}

Step-by-step explanation:

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Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year
MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

0.11x + 0.06y = 643 - - - - - - - - - -1

Substituting x = 6300 - y into equation 1, it becomes

0.11(6300 - y) + 0.06y = 643

693 - 0.11y + 0.06y = 643

- 0.11y + 0.06y = 643 - 693

- 0.05y = - 50

y = - 50/ - 0.05

y = 1000

x = 6300 - y = 6300 - 1000

x = 5300

7 0
3 years ago
Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.
strojnjashka [21]
Kevin ran 8 miles rounded to the nearest tenth
4 0
2 years ago
Read 2 more answers
There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the
mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = \frac{112 - 2x}{3}

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( \frac{112 - 2x}{3} )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

5 0
3 years ago
Read 2 more answers
there are 28 books on the shelf.one-fourth of the books are about animals. two are adventure. the rest are mystery.How many book
yanalaym [24]

Answer:

19

Step-by-step explanation:

1/4 are animal. 28/4 = 7

2 are adventure.

7+2 = 9

9 are not mystery

28-9 = 19

19 are mystery.

4 0
3 years ago
A cheese box is shaped like a
prohojiy [21]

Answer:

yes because it is a triangle it goes into the box that is equal to 1/4 of its size

Step-by-step explanation:

8 0
3 years ago
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