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3 years ago

The sum of twice a number and seven is equal to the sum of a number and six. find the number

Mathematics

1 answer:

Ber [7]3 years ago

3 0

<u>The number is -1</u>

Steps:

2x + 7 = x + 6 (Sum of twice a number and 7 is equal to sum of the number and 6.)

2x = x - 1 (Subtracted 7 from both sides.)

x = -1 (Subtracted x from both sides.)

Hope this helped :)

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Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month,

NeX [460]

Answer:

D -$7.20

Step-by-step explanation:

If she takes (substance) $2.40 every times she forgets to do a chores you have to substance
but first you have to multiply because she forgets 3 times
2.40 × 3 is 7.20
but since she taking it away it would be negative

so your answer is -$7.20

I hope this helps

4 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Rus_ich [418]

Answer:

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

$u=lnx$ $dv=(1/x)dx$

$du=(1/x)dx$ $v=lnx$

$\int\limits {lnx/x} \, dx = (lnx)^2-\int\limits {lnx/x} \, dx$

We can add

$\int\limits {lnx/x} \, dx$ to both sides

$\int\limits{lnx/x} \, dx = (1/2)\cdot{(lnx)^2}$

We can evaluate the limit between 2 and infinity.

If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞

6 0

3 years ago

A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr

OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

$area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}$

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

$\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4 ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852$