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2 years ago

Seven more than twice a number is six less than three times the same number

Mathematics

2 answers:

tresset_1 [31]2 years ago

8 0

<h2>Answer: x = 13</h2>

Step-by-step explanation:

7 more = + 7

twice a number = 2*x = 2x

6 less = -6

3 times the same number = 3 * x = 3x

Putting this together we get:

2x + 7 = 3x - 6

subtract two from both sides to isolate x

(-2x) + 2x + 7 = 3x - 6 (-2x)

7 = x - 6

add 6 to both sides to get your answer

7 (+6) = x - 6 (+6)

13 = x

x = 13

iren [92.7K]2 years ago

5 0

Answer:

Step-by-step explanation:

7+2x=3x-6

knowing this then you solve it

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Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when

solong [7]

Answer:

A) Area as function of H ,

F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = $\frac{1}{2}$ × height × base

F (a) = $\frac{1}{2}$ × H × ( 4ft + H ft)

Or, F (a) = $\frac{1}{2}$ × ( 4H + H² )

Now, here Area is function of height ,

So , F'(a) = $\frac{1}{2}$ (4 + 2H)

Hence Area as function of H ,

F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = $\frac{1}{2}$ × height × base

= $\frac{1}{2}$ × H × ( 4ft + H ft)

= $\frac{1}{2}$ × ( 4H + H² )

= $\frac{1}{2}$ × ( 24 + 36 )

= $\frac{1}{2}$ × ( 60 )

= 30 ft²

Hence Area of triangle with height 6ft = 30 ft² Answer

6 0

3 years ago

On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on thi

maxonik [38]

Answer:

50%: day 13

100%: day 26

Step-by-step explanation:

We are given two days and the amount of the moon that is illuminated. The two days are points on a straight line.

(1, 0.02), (2, 0.06)

y = mx + b

m = (0.06 - 0.02)/(2 - 1) = 0.04

y = 0.04x + b

0.02 = 0.04(1) + b

b = -0.02

y = 0.04x - 0.02

We want y = 50% = 0.5

0.04x - 0.02 = 0.5

0.04x = 0.52

x = 13

y = 100% = 1

0.04x - 0.02 = 1

0.04x = 1.02

x = 25.5

7 0

2 years ago

Read 2 more answers

[Inequalities]<br> Please help and thanks.

kondor19780726 [428]

Answer:

First blank is >=

Second blank is <=

Step-by-step explanation:

At least means the sign is greater than or equal to

No more than means the sign is less than or equal to

5 0

3 years ago

Solve the following equation: <br>(n + 1) + 3(n - 1) = 2(n - 1)(n + 1)

Mnenie [13.5K]

Answer:

n = 0, n =2

Step-by-step explanation:

Given

(n + 1) + 3(n - 1) = 2(n - 1)(n + 1) ← distribute parenthesis on both sides

n + 1 + 3n - 3 = 2(n² - 1), that is

4n - 2 = 2n² - 2 ( subtract 4n - 2 from both sides )

0 = 2n² - 4n ← factor out 2n from each term )

0 = 2n(n - 2)

Equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

n - 2 = 0 ⇒ n = 2

7 0

3 years ago

Onyango bought p oranges and later on 1%are bad how many oranges remained

Paraphin [41]

Answer:

100% all of them

Step-by-step explanation:

he bought (p) oranges so if 1% are bad they are still there, so there are still 100% of the oranges remaining because he hasn't aten any or disposed of any.

3 0

2 years ago