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KATRIN_1 [288]
2 years ago
5

Expand this expression by using the distributive property. 4( -2g + 4 -3t)

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
4 0

Answer:

-8g + 16 + 12t

Step-by-step explanation:

multiply 4 with -2g

multiply 4 with 4

multiply 4 with -3t

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
What is 1 3/4 as a percent
KiRa [710]

Answer:

267% and 400%

6 0
3 years ago
Read 2 more answers
The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of
Ilia_Sergeevich [38]

Answer:

position: (-6, -4)

range: 6

Step-by-step explanation:

The equation is that of a circle centered at (-6, -4) with a radius of √36 = 6. We presume that the "position" is that of the circle's center, and the "range" is the radius of the circle.

___

The standard form equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

Matching parts of the equation, we find ...

h = -6, k = -4, r = √36 = 6.

7 0
3 years ago
The average sunflower has 34 petals. What is the best estimate of the total number of petals on 9 sunflowers?
Rainbow [258]

Answer:

~306

Step-by-step explanation:

34 * 9 = 306

4 0
3 years ago
What is the square root of 24? show your steps.
yawa3891 [41]

Step-by-step explanation:

√24= √(<u>2×2</u>×2×3)

=2√2×3

=2√6

8 0
3 years ago
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