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3 years ago

Solve the inequality 7x - 35 < 2 [x - 5]

Mathematics

2 answers:

Daniel [21]3 years ago

8 0

Answer:

x < 5

Step-by-step explanation:

Step 1: Simplify

7x−35<2x−10

Step 2: Substract 2x from both sides

7x−35−2x<2x−10−2x

5x−35<−10

Step 3: Add 35 to both sides

5x−35+35<−10+35

5x<25

Step 4: Divide by 5

5x/5 × 25/5

x < 5

prohojiy [21]3 years ago

8 0

Answer:

x=5

Step-by-step explanation:

7x-35<2(x-5)

7x-35<2x-10

7x-2x<-10+35

5x<25

x<25/5

x<5

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Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0

4 years ago

The cost of a jacket increased from $85.00 to $99.45. What is the percentage increase of the cost of the jacket?

trapecia [35]

Answer:

17%

Step-by-step explanation:

99.45-85=14.45

14.45/85= 0.17

0.17= 17%

6 0

4 years ago

What is 10:16:3 simplified?

WITCHER [35]

It would be just that. There is nothing to divide with the same number... If you need any more questions, just ask me.

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3 years ago

Given the points (-1,3) and (2,-3), what's the slope of the line? A) m = -6 B) m= -2 C) m = 1/4 O D) m = 5 D= 5

Anna007 [38]

Answer:-2

Step-by-step explanation:

Slope = y2-y1/x2-x1

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6/-3

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2 years ago

1. A chord is 22 cm long. It is 60 cm from the center of the circle.

mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

$r^2=60^2+11^2\\\\r=61\ cm$

So, the radius of the circle is 61 cm.

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3 years ago