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3 years ago

(-2x + y - 4) - (-3x - 2y)

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

(-2x + y - 4) - (-3x - 2y) = x + 3y - 4

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A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be d

german

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

$\dfrac{x}{8000}=\dfrac{3}{125}$

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

$x=\dfrac{3}{125}(8000)$

$x=0.024(8000)$

$x=192$

So around 192 cell phones are expected to be defective out of 8000 phones.

6 0

4 years ago

What is the answer to 5(1 + 5n)

mario62 [17]

Answer: 5 + 25n

Explanation: Let's simplify this problem using the distributive property.

In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.

So we have 5(1) + 5(5n) which simplifies to 5 + 25n.

3 0

3 years ago

Name the property of equation 8 x 1/8=1

tatiyna

Answer:

Inverse property of multiplication

Step-by-step explanation:

7 0

4 years ago

Help me please thank you

katovenus [111]

Answer:

I believe y = 90°

Step-by-step explanation:

70 + 110 = 180, so you know that both sides are the same angle. The angle of the two straight lines must be 90°

6 0

3 years ago

A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest

solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2

Step-by-step explanation:

The formula for simple interest is

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 % = 0.04

Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

$\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}$

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

$\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}$

OK.

4 0

4 years ago