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Simora [160]
3 years ago
9

What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

the answer is -3

Step-by-step explanation:

Licemer1 [7]3 years ago
5 0

Answer:

The quotient is -3

Step-by-step explanation:

we have

\frac{a-3}{7}:\frac{3-a}{21}

Multiply in cross

\frac{(a-3)21}{(3-a)7}

Simplify

Remember that

\frac{21}{7}=3

substitute

\frac{(a-3)3}{(3-a)}

we know that

(3-a)=-(a-3)

substitute

\frac{(a-3)3}{-(a-3)}=-3

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Suki is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 7 quarts. If she
Alex73 [517]

Answer:

40 cups

Step-by-step explanation:

7 0
3 years ago
The area of a triangle is 20 cm², and the
grandymaker [24]

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( b^{2} + 4b)

20*2 = b^{2} + 4b

40 = b^{2} + 4b

0 = b^{2} + 4b-40

rewrite the above so it's in x format

x^{2} + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±\sqrt{b^{2}-4*a*c } ) / 2*a

a = 1

b = 4

c = -40

x = (4±\sqrt{4^{2}-4*1*(-40) }  ) /2*1

x = ( 4±\sqrt{16+160} ) / 2

x = (4±\sqrt{176} ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

5 0
1 year ago
Pls tell me the slope of the graph
Leya [2.2K]
The slope of the graph is 3
8 0
3 years ago
Read 2 more answers
Which side of DEF is the longest ? Please help
Minchanka [31]

∠D= 87°, ∠E = 50°

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∠F = 180 - 137

∠F = 43°

Side opposite to greatest angle is the longest side.

Among angle D, E and F, angle D is the greatest angle

So side opposite to angle D is the longest side which is EF

Option B is the answer

8 0
3 years ago
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X + y = 7<br> 2x - 3y = -21
kotykmax [81]
There is only one solution

When you graph both equations, they intersect therefore the intersection point tells you there is one solution. If it was infinitely many solutions then it would be the same line. If it was no solution then the graph would show to parallel lines.

3 0
3 years ago
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