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alexira [117]
2 years ago
14

A car and a motor bike are priced at $23440. If the value of the car is four times the value of the motor bike, how much is the

motor bike worth? Write the answer without the dollar sign and round to the nearest cents.
Mathematics
1 answer:
LenKa [72]2 years ago
6 0

x + y = 23440

x = 4y

y = ?

23440 / 5 = 4688

y = $4688

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A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
4 years ago
Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
Tamiku [17]

Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y=1/4x+5

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

(2,-9) and slope 1/4 is

<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

8 0
3 years ago
9. Given 8x+4y = 4, identify the slope and y-intercept.
Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0
3 years ago
Simplify
denis23 [38]

Hello!

<u><em>Answer: </em></u>

<u><em>1. =-6</em></u>

<u><em>2. =39</em></u>

<u><em>3. =-603</em></u>

_________________________________________________

Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

1. -4(3-1)+2

Do parenthesis first.

(3-1)=2

-4*2+2

Then do multiply left to right.

-4*2=-8

Add left to right.

-8+2

8-2=6

*Answer should be have negative sign.*

Answer: → \boxed{=-6}

______________________________________________________

2. 3⋅[(30−8)÷2+2]

Do parenthesis first.

(30-8)=22

22/2+2

Then divide left to right.

22/2=11

Add left to right.

11+2=13

Multiply left to right.

3*13=39

*Answer should be have positive sign.*

Answer: → \boxed{=39}

_____________________________________________________

3. 14(1-23)2+13

Do parenthesis first.

(1-23)=-22

14(-22)*2+13

Then, you multiply left to right.

14(-22)=-308

-308*2=-616

Add/subtract left to right.

-616+13

616-13=603

*The answer must be have a negative sign*

Answer: → \boxed{=-603}

____________________________________________________________

Hope this helps!

Thank you!

Have a great day!

-Charlie

7 0
3 years ago
The answer is C that’s why it has a 1 pt in front <br><br> Plz just help me explain how to get that
Ierofanga [76]

First lets get the formula for a triangular prism

v =( \frac{1}{2} bh)h

First lets plug in our numbers

v =( \frac{1}{2} \times 7 \times 4)8.5

It really doesnt matter how you multiply everything, but you end up with 119cubic feet.

3 0
3 years ago
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