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3 years ago

Can someone help me with this math question & show steps ?

Mathematics

2 answers:

forsale [732]3 years ago

7 0

a xuz if u work it out ull get a

d1i1m1o1n [39]3 years ago

7 0

A=2πrh+2πr2=2·π·11·7+2·π·112≈1244.07069

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1/4(-8x - 12) + -4 = 3/4(-8x - 12)

nekit [7.7K]

Here's our equation:

$\frac{1}{4} (-8x-12)-4=\frac{3}{4} (-8x-12)$

Factor out the left side

(-2x - 3) - 4 = 3/4 (-8x - 12)

Simplify

-2x - 7 = 3/4 (-8x - 12)

Factor out the right side

-2x - 7 = -6x - 9

Add 7

-2x = 6x - 2

Add 6x to isolate the variable

4x = -2

Divide by 4

x = - 1/2

Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.

Begin with 3/4 (-8x - 12)

Use rule $a*\frac{b}{c} = \frac{a * b}{c}$ to multiply

3(-8x-12)/4

Factor 3(-8x-12)

(-8x - 12) = (-4 * 2x - 4 * 3)

Simplify (-4 * 2x - 4 * 3)

-3 * 4 (2x+3)

- 12 (2x + 3)

Now that we've factored 3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.

12/4 =3, giving us -3(2x + 3)

Distribute and simplify, then you're done.

8 0

3 years ago

Daniel traveled to his cabin on the lake and back. On the trip there he traveled 40 km/h and On the return trip he went 60 km/h.

Keith_Richards [23]

Answer:

The trip took total of 5 hrs out of which 3 hrs took for going to the trip and 2 hours for returning from the trip.

Step-by-step explanation:

Given:

Speed to the cabin = 40 km/h

Speed on return trip = 60 km/h

Time for return trip = 2 hrs.

We need to find the time for total trip.

Solution:

First we will find the Distance of the trip.

Now we know that Distance is equal to Speed times Time.

Now we can say that;

$\textrm{Distance of return trip} = \textrm{Speed of the return trip}\times \textrm{Time of return trip}$

Distance of return trip = $60\times 2 =120\ km$

Now we can say that Distance of return trip will equal to Distance to the trip.

Now we will find the time required to travel the trip.

time required to travel the trip can be calculated by dividing distance from the speed.

framing in equation form we get;

time required to travel the trip = $\frac{120}{40} = 3\ hrs$

Total time is equal to time took to travel the trip and Time took for return trip.

framing in equation form we get;

Total time = 3 + 2 = 5 hrs

Hence The trip took total of 5 hrs out of which 3 hrs took for going to the trip and 2 hours for returning from the trip.

5 0

3 years ago

. Nine people are going to share a 128-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct e

EleoNora [17]

Answer:

$Each = 14.22\ oz$

Step-by-step explanation:

<em>The options are missing. However, the question is still solvable</em>

Given

$People = 9$

$Soda = 128\ oz$

Required

Determine the amount each person will drink

To do this, we simply divide the size of the soda by the number of people.

$Each = \frac{Soda}{People}$

$Each = \frac{128\ oz}{9}$

$Each = 14.22\ oz$

4 0

3 years ago

Colton takes out a $16,000 student loan to pay his expenses while he is in college. After graduation, he will begin making payme

lyudmila [28]

If I am doing the problem correctly the answer is $977.25 :)

5 0

3 years ago

This table shows the ratio of the number of people to the number of pizzas needed. A 2-column table has 4 rows. Column 1 is labe

Bezzdna [24]

Answer:

Step-by-step explanation: if you multiply 5*4 you get 20 both of these numbers are on the chart so if you compare the numbers in the other column that go along with these numbers you'll see that those numbers are 2 and 8 and if you do 8/2 you get 4 and 2*4 = 8

3 0

3 years ago