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Irina18 [472]
3 years ago
5

A science teacher ordered $1848 worth of microscopes and dissection kits for the new science lab. A total of 30 microscopes and

48 dissections kits were ordered. A microscope costs four times as much as a dissection kit. Find the cost of of the microscope and dissection kit. Show how you got your equations and answer.

Mathematics
1 answer:
andrezito [222]3 years ago
4 0

Answer:

Microscopes cost $44 and Dissection Kits cost $11

Step-by-step explanation:

Using the information given, we can make the system of equations:

30x+48y=1848

x represents the price of microscopes and y represents the price of dissection kits.

We also know that microscopes will be 4x the price of dissection kits. Therefor:

x=4y

We can plug these two equations together to find the answer.

30(4y)+48y=1848

120y+48y=1848

168y=1848

y=11

Using the y-value, can find the x-value.

x=4(11)

x=44

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Computing the rate we get:

\frac{300}{10}\frac{cameras}{\text{hour}}=30\frac{cameras}{\text{hour}}

Then, when the assembly line runs at the same rate for 24 hours they will produce:

24\text{hour}\cdot30\frac{cameras}{\text{hour}}=720\text{ cameras}

Answer: Option C) 720.

7 0
1 year ago
I will mark you. i need help fast thank you!
Ganezh [65]

Answer:

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5 0
2 years ago
Write the equation of the line graphed below
zimovet [89]

Answer:

y = 5/8x + 12

Step-by-step explanation:

Slope = change in y/change in x

slope = 5/8

Using y = mx + b find b.

y = 5/8x + b

-2 = 5/8(-4) + b

b = 1/2

y = 5/8x + 12

<em>good luck, i hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
5.b) If z^(1/2)=x^(1/2)+y^(1/2) , show that (x+y-z)^2=4xy
Rudik [331]

Answer:

Step-by-step explanation:

  • (x+y-z)²= 4xy
  • (x+y-z)²- 4xy = 0
  • (x+y-z)²-(2√x√y)² = 0
  • (x+y-z-2√x√y)(x+y-z+2√x√y) =0
  • [(√x-√y)²-z]*[(√x+√y)²-z]=0
  • (√x-√y)²-z = 0 or (√x+√y)²-z = 0

We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²

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3 0
2 years ago
SAT question <br> Can someone explain to me what this is asking
frozen [14]

Answer:

B

Step-by-step explanation:

The vertex is the turning point of the parabola.

First find the zeros by equating y to zero, that is

(x - 6)(x + 12) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 12 = 0 ⇒ x = - 12

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, thus

x_{vertex} = \frac{6-12}{2} = \frac{-6}{2} = - 3

Thus the x- coordinate of the vertex is x = - 3 → B

6 0
3 years ago
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