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3 years ago

Help me please I will really appreciate it

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

For the parallel one the gradient will stay the same, so you just need to work out the y-intercept

3=(-12)-6+c

3=12+c

c=-9

equation for parallel line y=-6x-9

Then for perpendicular the gradient is the reciprocal

so you substitute again

3=1/6(-2)+c

3=-1/3+c

c=10/3

the equation for perpendicular is y=1/6x+10/3

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A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t

gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

$C = 9 + P$

Cakes sold = 8

Pies sold = 14

$Total = \$402$

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

$8C + 14P = 402$

Substitute 9 + P for C

$8(9+P) + 14P = 402$

Open the bracket

$72 + 8P + 14P = 402$

Collect Like Terms

$8P + 14P = 402 - 72$

$22P= 330$

Divide both sides by 22

$P = \frac{330}{22}$

$P = 15$

Recall that

$C = 9 + P$

$C = 9 + 15$

$C = 24$

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

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3 3/5 + 9 3/5 answer with a mixed number in simplest form

Romashka [77]

Both fractions have the same denominator so it's going to be easy. First set up your equation:

$3 \frac{3}{5} + 9 \frac{3}{5}$

Add the whole numbers:

$3 + 9 = 12$

Now add the fractions:

$\frac{3}{5} + \frac{3}{5} = \frac{6}{5}$

add both together:

$12 + \frac{6}{5} = 12 \frac{6}{5}$

$\frac{6}{5}$ is an improper fraction so change it:

$12 \frac{6}{5} = 13 \frac{1}{5}$

Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with $13 \frac{1}{5}$

Your answer is $13 \frac{1}{5}$

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Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

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2πr = 36π

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