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3 years ago

Perform the indicated operation. (-9 + 21) - (-12 + 4) =

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

Step-by-step explanation:

-9+21= 21

-12+4=-8

21-(-8)=29

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A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue, let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b (substitution)

2b = 45 - b ( add 4 to both sides)

3b = 45 (add b to both sides)

b = 15 (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0

3 years ago

Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements f

oksian1 [2.3K]

Answer:

105°, 75°, and 105°.

Step-by-step explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

$180 - 75 = 105 \degree$

Therefore the three other angles will be , 105°, 75°, and 105°.

5 0

3 years ago

What is the slope of this line? <br> The coordinates are: (-4,5),(0,6), and (8,8).

Elodia [21]

Answer:

Step-by-step explanation:

we have to use the formula of slope here.

we know,

slope of the line passing through (x1,y1) and (x2,y2) is-

$\frac{y2-y1}{x2-x1}$

Here, the first two points are -

(-4 , 5) and (0,6)

So, the slope will be-

$\frac{6-5}{0-(-4)}=\frac{1}{0+4}=\frac{1}{4}$

So, the slope is-

$\frac{1}{4}$

4 0

3 years ago

Read 2 more answers

Given that L is the centroid of triangle FGH, find LG.

olga55 [171]

Well the centroid is the point that connects the median of a side with the opposite vertex. This means that each line is split i half. Notice that line HG is split in half by point K. that means that each of the segments that K splits is equal. so we know
HK = KG

and we know
HK = 3x
KG = x + 8

since
HK = KG then
3x = x + 8
2x = 8
x = 4

now we have x. we know that the each line that runs from a midpoint to a vertex is seperated by the centroid. the 2 line segments are a 2:1 ratio. so
2*JL = 1LG

we know
JL = x + 3

so
2 * (4 + 3) = LG
LG = 14

5 0

3 years ago

Please please can anyone help me solve these

QveST [7]

The answer is 4 apples

8 0

3 years ago

Read 2 more answers