Six times a certain number is 16 more than twice the number

Answers

Answer 1

Answer: x - the number

$6x=2x+16 \ \ |\hbox{subtract 2x from both sides} \n4x=16 \ \ |\hbox{divide both sides by 4} \nx=4$

The number is 4.

Answer 2

Answer: 6n=2n+16

6n-2n=16

4n=16

n=16/4

n=4

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Factor x2 + 11x + 24A. (x + 6)(x + 4) B. (x + 2)(x + 12) C. (x + 3)(x + 8) D. (x + 1)(x + 11) Factor 2m2 + 27m + 70 A. (2m + 7)(m + 10) B. (m + 10)(2m + 7) C. (2m + 3)(m + 20) D. (2m + 7)(m – 10) Factor g2 – 64 A. (g – 1)(g + 64) B. (g + 8)(g – 8) C. (g – 8)(g – 8) D. (g + 8)(g + 8) Factor 49t2 – 9 A. (7t + 3)(7t + 3) B. (7t + 3)(–7t – 3) C. (7t + 3)(7t – 3) D. 7t – 3 The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field? A. t – 9 B. t – 5
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A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,800 from each sold-out event. How many seats does each section hold?

Answers

a + b + c = 45,000
30a + 24b + 18c = 1,168,800 reduces to 5a + 4b + 3c = 194,800
a = b + c

b + c + b + c = 45,000
2b + 2c = 45,000
b + c = 22500 <=== this is A
c = 22500 - b

5a + 4b + 3c = 194,800
5(22500) + 4b + 3(22500 - b) = 194,800
112500 + 4b + 67500 - 3b = 194,800
b + 180,000 = 194,800
b = 194,800 - 180,000
b = 14,800 <===here is b

a = b + c
22500 = 14800 + c
22500 - 14800 = c
7700 = c <== here is c

so....A = 22,500, B = 14,800, and C = 7,700

SAT HelpJack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job?

How do you solve this?

Answers

Well, their speeds are ( $V_1$ is Jack's speed, and $V_2$ is Richard's.
$V_1 = (1)/(5) houses/day \n V_2 = (1)/(7) houses/day \n V = V_1 + V_2 = (1)/(5)+(1)/(7) = (7+5)/(35) = (12)/(35)$
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate $(35)/(12)$ which is very close to 3 (a bit below)

Answer:

In 7*5 = 35 days, Jack can paint 7 houses.

In 5*7 = 35 days, Richard can paint 5 houses.

So in 35 days, the two of them can paint 12 houses. To paint just one house, they'll need 1/12 the time, or 35/12 = 2 11/12 days.

Step-by-step explanation:

An airplane is currently at an elevation of 8500 feet above sea level. The airplane is losing elevation at a rate of 150 feet per minute to land. Whichequation represents the elevation of the plane, y, after m minutes
Oy=150-8500m
O y=8500m-150
O y=8500-150m
O y=150m-8500

Answers

Answer:the answer is y=8500-150m

Step-by-step explanation:I say this because 150 is the amount of feet that it drops per minute m stands for minute so you would be multiplying 150 by whatever m would be.

Final answer:

The equation representing the airplane's elevation after m minutes is y = 8500 - 150m, where 8500 is the original elevation and 150m is the cumulative loss of elevation.

Explanation:

The question is trying to establish an equation that represents the elevation of the airplane in relation to time. Given the airplane starts at an elevation of 8500 feet and is losing height at the rate of 150 feet per minute, to find the elevation y after m minutes, we need to subtract the total feet lost from the original elevation. Therefore, the equation that represents this situation is: y = 8500 - 150m.

In this equation, 8500 is the original elevation and 150m represents the cumulative loss of elevation for each minute (encompassing m minutes).

Learn more about Linear Equation here:

brainly.com/question/32634451

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Margaret drove to a business appointment at 60 mph. Her average speed on the return trip was 50 mph. The return trip took one fifth 1 5 hr longer because of heavy traffic. How far did she travel to the appointment?

Answers

She traveled 60 miles to the appointment place.

Step-by-step explanation:

Let the distance to appoint be s and time for appointment trip be t.

The return trip took one fifth hr longer because of heavy traffic.

Time for return trip = t + one fifth hour = (t + 0.2) hr

Speed of appointment trip = 60 mph

Speed of return trip = 50 mph

We have

s = 60 t and

s = 50 (t + 0.2)

s = 50 t + 10

60t = 50 t + 10

10 t = 10

t = 1 hour

Distance to appointment = 60 t = 60 x 1 = 60 miles

She traveled 60 miles to the appointment place.

A sailboat depreciates at 15% of its original value each year. If the sailboat was $9500 at its time of purchase, what is the value of the sailboat after 7 years?

Answers

The sailboat would be fully depreciated when the 7th year comes when it was depreciated 15% every year. This is because when you try to multiply 15% by 7 it would give you 105%, it already exceeds the 100% value of the sailboat.

Rite the sentence as a mathematical expression. z is less than or equal to 13 .

Answers

Answer:

z ≤ 13

Step-by-step explanation:

note that the symbol ≤ means ' less than or equal to'

then the expression z is less than or equal to can be written as

z ≤ 13

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