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muminat
3 years ago
5

4(7-8n)=-2n+8(6-5n) point slope from

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

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A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer p
ludmilkaskok [199]

Answer

Find out the how many pizzas are delivered to a customer who pays $80 .

To prove

As given

A restaurant offers delivery for their pizzas.

The total cost is a delivery fee added to the price of the pizzas.

One customer pay $25 to have 2 pizzas delivered.

Let\ us\assume\ cost\ of\ the\ one\ customer\ pay = x_{1} = 25

Let\ us\assume\ number\ of\ pizza = y_{1} = 2

Another customer pays $58 for 5 pizzas.

Let\ us\assume\ cost\ of\ the\ second\ customer\ pay = x_{2} = 58

Let\ us\assume\ number\ of\ pizza = y_{2} = 5

Thus by using the slope formula

m =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Putting the value in the formula

m = \frac{5 - 2}{58 - 25}

m = \frac{3}{33}

Simplify the above

m = \frac{1}{11}

This represented one pizza cost is $11.

Thus 2 pizza cost = $11 × 2

                              = $22

Thus

Delivery price = Total cost of 2 pizza including delivery fee - Cost of 2 pizza

                       = $25 - $22

                      = $3

Thus 5 pizza cost = $11 × 5

                              = $55

Thus

Delivery price = Total cost of 5 pizza including delivery fee - Cost of 5 pizza

                       = $58 - $55

                      = $3

Therefore the delivery charge is $3.

Now calculate the number of pizza for the customer who pays $80.

Cost of the pizza = Total cost of the pizza including delivery charges - Delivery charges

                            = $80 - $3

                           = $ 77

Let us assume that the number of pizza for the customer who pays $80 = x

Cost of one pizza = $11

Than the equation becomes

11 × x = 77

x = \frac{77}{11}

x = 7

Therefore the number of pizza are 7 delivered to a customer who pays $80 .




4 0
3 years ago
Solve the equation for x:<br> |5x - 61 = -10
shusha [124]

Answer:

x=51/5

Step-by-step explanation:

Add 61 on both sides

You'll have 5x=51

So now 51/5 is your answer.

5 0
3 years ago
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∆abc is isosceles, ab = bc, and ch is an altitude. how long is ac, if ch = 84 cm and m∠hbc = m∠bac +m∠bch?
Tems11 [23]
Given that <span>∆abc is isosceles and ab = bc, then m<bac = m<acb and m<hbc = 180 - m<bac - m<acb

Given that </span><span>m∠hbc = m∠bac +m∠bch, then m<hbc + m<bch = m<bac + 2m<bch

But m<hbc + m<bch = 90°, thus 90° = m<bac + 2m<bch

</span><span>Also, m∠bac + m∠ach = 90° ⇒ m<bac + 2m<bch = m<bac + m<ach ⇒ 2m<bch = m<ach

Since, Δabc is isosceles with ab = bc ⇒ m<bac = m<acb.

Also, m<acb = m<ach + m<bch ⇒ m<acb = 3m<bch = m<bac

</span><span><span>Since m<bch : m<ach = 1 : 2 ⇒ bh : ah = 1 : 2

Thus, bh:bc:ch=1:3:\sqrt{8}

Given that ch = 84 cm, then

\frac{bc}{ch} = \frac{bc}{84} = \frac{3}{\sqrt{8}}  \\  \\ \Rightarrow bc= \frac{3\times84}{\sqrt{8}} =63\sqrt{2}=ab

Now, ah= \frac{2}{3} (63\sqrt{2})=42\sqrt{2}

ac= \sqrt{ch^2+ah^2}  \\  \\ = \sqrt{84^2+(42\sqrt{2})^2}  \\  \\ = \sqrt{7056+3528} = \sqrt{10584}  \\  \\ =42\sqrt{6}
</span> </span>
6 0
3 years ago
Solve the quadratic equation by using the quadratic formula. 2x^2-5x+1=0
ioda

Answer:

x =  \frac{5 +  \sqrt{17} }{4}

5 0
3 years ago
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If set M =[even digits from 2 to 8]. Find n(M)​
laila [671]

Answer:

n(M) = 4

Step-by-step explanation:

M = (2,4,6,8)

n(M) = Number of values in set M.

n(M) = 4

8 0
3 years ago
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