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svlad2 [7]
3 years ago
12

A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

63

Step-by-step explanation:

Make a ratio:

5 : 7 = 45 : x

x = 63

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Beth is making fruit salad. She adds 3 grapes for every 2 strawberries. If she uses 12 strawberries, how many grapes will she us
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The answer is 18. she will use 18 grapes.
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What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18
Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

4 0
3 years ago
Mallorie has $3 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowance?
LiRa [457]
Ok so let me tell you how can this be done:
<span>The part she has is $3. The percent is 10%. So,
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3 years ago
Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
lana [24]

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

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Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

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Simplifying this gives;

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(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

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3 years ago
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4 0
3 years ago
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