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Arturiano [62]
3 years ago
14

12m-(-5m-4) without parentheses

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0

Answer:

17m +4

Step-by-step explanation:

12m-(-5m-4)

Distribute the minus sign

12m +5m +4

Combine like terms

17m +4

miss Akunina [59]3 years ago
6 0

Steps to solve:

12m - (-5m - 4)

~Distribute minus sign

12m + 5m + 4

~Combine like terms

17m + 4

Best of Luck!

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A glass is 4/7 full. Then 70 cm³ orange juice is poured in. The glass is now 3/4 full.
Nataly_w [17]

Answer:

The volume of the glass is 217.8 cm³

Step-by-step explanation:

If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.

Let v represent the volume of the glass.  

Then (3/7)v + 70 cm³ = (3/4)v.

We need to solve this for v.

Here the LCD is 28.  Thus,

(3/7)v + 70 cm³ = (3/4)v →  (12/28)v + 70 cm³ = (21/28)v.

Subtracting  (12/28)v from both sides, we get:

70 cm³ = (9/28)v.

We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:

(28/9)(70 cm³) = v

The volume of the glass is 217.8 cm³

3 0
3 years ago
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How do you find the surface area of a regular triangular prism
Dmitry [639]
So a triangular prisim is like a triangle stacked on top of x number of identical triangles making a height, like a piece of paper made into a stack

so
basically find the area of each side and add

look at diagram/attachment
find area of triangle
1/2 b times h= area of 1 triangular face

multiply by 2 because 2 sides so 1/2 times 2 b times h=b times h

then 3 other sides
find area of each side and add
areas=(H times B)+(H times c)+(H times a)

so SA=(b times H)+(H times B)+(H times c)+(H times a)



8 0
3 years ago
Clare mixes 2 and one half cups of water with one third cup of orange juice concentrate.
Keith_Richards [23]

Answer:2 1/2 + 1/3 = 5/2 + 1/3 = 15/6 + 2/6 = 17/6 cup

(2/6)/(17/6) = (2/6)(6/17) = 2/17 (two parts in 17), or 11.8%

1 2/3 + 1/4 = 5/3 + 1/4 = 20/12 + 3/12 = 23/12 cup

(3/12)/(23/12) = (3/12)(12/23) = 3/23 (three parts in 23), or 13.04%

Step-by-step explanation:

8 0
3 years ago
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1: Ken earned $176 from his part-time job this summer. He spent 25% of his money on games. ​He is going to donate 14 of the rema
tatiyna

The charity will receive $ 11

<h3><u>Solution:</u></h3>

Ken earned $176 from his part-time job this summer

Amount earned = $ 176

He spent 25% of his money on games

Therefore,

Money spent on games = 176 - 25 % of 176

\text{Money spent on games } = 176 - \frac{25}{100} \times 176\\\\\text{Money spent on games } = 176 - 0.25 \times 176\\\\\text{Money spent on games } = 176 - 44\\\\\text{Money spent on games } = 132

He is going to donate 1/4 of the remaining money to charity

Reamining amount = 176 - 132 = 44

Therefore,

Money\ given\ to\ charity = \frac{1}{4} \times 44 = 11

Thus he gave $ 11 to charity

8 0
3 years ago
On the attached drawing what is the name for Angle LHJ? Obtuse, acute, complementary or right?
Natasha2012 [34]

Answer: Right (Last option)

Step-by-step explanation:

As you can see in the figure, the parallel lines AD and GJ are intersected  by two lines.

The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but  on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:

 ∠LHJ and ∠EBA

You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).

Therefore, if ∠EBA=90°, then ∠LHJ =90°

4 0
3 years ago
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