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2 years ago

Question 7 of 10

Mathematics

1 answer:

Ganezh [65]2 years ago

3 0

Answer:

Option B

Step-by-step explanation:

Given Equation :

$\qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2$

Using distribute property:

$\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2$

Adding the like terms we get :

$\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2$

$\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13$

Transposing the variables on the right side and constant terms on the left side :

$\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9$

$\qquad \sf \dashrightarrow \: 5x = - 22$

Dividing both sides by 5 :

$\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5}$

$\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5}$

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Using data set from 1.19

Dahasolnce [82]

Answer:

Step-by-step explanation:

Honestly I think that is a whole bunch of gibberish

6 0

3 years ago

Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and

andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

$\frac{n!}{n1!*n2!*...*nk!}$

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

$\frac{15!}{7!*5!*3!}$

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.

5 0

2 years ago

Lines a and b are parallel.

VashaNatasha [74]

I have added a screenshot with the complete question along with a diagram representing the scenario.

Answer:
s = 22°

Explanation:
1- getting the top right angle of line B:
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
Top right angle of line B = 158°

2- getting the value of s:
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
s = 22°

Hope this helps :)

8 0

3 years ago

Complete the following a) 3/5 = ?/20 b) ?/6 = 25=30

vlada-n [284]

Answer:

a) 3/5=12/20

b)5/6=25/30

8 0

3 years ago

Little Snail is going to visit his friend over at the next pond, 3 miles away. He can crawl ( 1/2. 1/3, 1/4, 3/4, 2/3 ) of a mil

KIM [24]

Solution :

It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.

When the snail crawls 1/2 of a mile per day, it will take him, $1 \times \frac{2}{1} \times 3$

= 6 days to get to the next pond.

When the snail crawls 1/3 of a mile per day, it will take him, $1 \times \frac{3}{1} \times 3$

= 9 days to get to the next pond.

When the snail crawls 1/4 of a mile per day, it will take him, $1 \times \frac{4}{1} \times 3$

= 12 days to get to the next pond.

When the snail crawls 3/4 of a mile per day, it will take him, $1 \times \frac{4}{3} \times 3$

= 4 days to get to the next pond.

When the snail crawls 2/3 of a mile per day, it will take him, $1 \times \frac{3}{2} \times 3$

= 4.5 days to get to the next pond.

3 0

3 years ago