All categories

3 years ago

What is the solution to -3(4x - 8) = -36 A)3 B)-5 C)-3 D)5 help please

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

6 0

Answer:

$- 3(4x - 8) = - 36 \\ 4x - 8 = \frac{ - 36}{ - 3} \\ 4x - 8 = 12 \\ 4x = 12 + 8 \\ 4x = 20 \\ x = 20 \div 4 \\ x = 5$

mafiozo [28]3 years ago

3 0

Answer:

Step-by-step explanation:

(given) -3(4x - 8) = -36

(distribute) -12x + 24 = -36

(subtract 24 from both sides) -12x = -60

(divide both sides by -12) x = 5

You might be interested in

| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the

Westkost [7]

Answer:

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

Left Speed(km/h) Time

Car: 12PM X

Van: 12PM 60

Car/Van

DistanceCar AB + z

DistanceVan Az

Ratio: (AB+z)/Az = 7/5

Time until both meet = T (in hours)

Distance Car: xT

Distance Van: 60T

====

xT = AB + z

60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is: time (hr) = 108 km/(84 km/h)

time = 1.286 hours

Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)

distance = 77.14 km

At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let t be the time after 1.286 hours that both vehicles meet/collide.

t*(60 km/h) + t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

==============

CHECK

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

YES

3 0

3 years ago

Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry onl

Lelechka [254]

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95 -95

11.50x ≤ 55

/11.50 /11.50

X=4.78260869565

You would round down since he has a budget.

6 0

3 years ago

Giving brainlist help find the total

Soloha48 [4]

Answer: $6.46

1.40 + .40 + 1.68 + 1.14 + 1.84 = 6.46

5 0

3 years ago

Read 2 more answers

To rent a certain meeting room, a college charges a reservation fee of $46 and an additional fee of $6.70 per hour. The chemistr

atroni [7]

79.50 = 46 + 6.70t

33.50 = 6.70 t

t = 5 hours

3 0

2 years ago

Please help me!!!!!!!! Factor z2 – 3z – 18

Vladimir [108]

First, the factor pairs for 18 are:
1, 18
2, 9
3, 6

Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
z = 3

Set each equal to 0;
z = -6
z + 6 = 0

z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.

4 0

3 years ago