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3 years ago

The answer is 4.8feet in delta math

Mathematics

1 answer:

abruzzese [7]3 years ago

6 0

Answer:

4.8 feet

Step-by-step explanation:

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A metalworker has a metal alloy that is 15% copper and another alloy that is 60% copper. How many kilograms of each alloy shou

coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

Step-by-step explanation:

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

6 0

3 years ago

Which of these describes the equation –18x + 9y = –416?

Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Important Tip:

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

$18x + 9y = -416$

subtract 18x from both sides

$18x+9y-18x = - 18x-416$

simplify

$9y = -18x - 416$

divide both sides by 9

$y=-2x-\frac{416}{9}$

Now, comparing the equation $y=-2x-\frac{416}{9}$ with a slop-intercept form of linear equation

The slope m = -2

The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

From the attached graph, is also clear that the graph of the equation $y=-2x-\frac{416}{9}$ is a straight line.

Hence, option D is correct.

3 0

2 years ago

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Please help me on math homework! File attached! :D

r-ruslan [8.4K]

Use pythagorena theorme

D= $\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}$
NOTE: x1 and x2 means the first x and second x, not x^1 and x^2

points given are
(1,1)
(5,6)
x1=1
y1=1
x2=5
y2=6
D= $\sqrt{(1-5)^{2}+(1-6)^{2}}$
D= $\sqrt{(-4)^{2}+(-5)^{2}}$
D= $\sqrt{16+25}$
D= $\sqrt{41}$
6.403

answer is B

7 0

3 years ago

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What is 106 divided by 5

Bas_tet [7]

Answer:

21.2

Step-by-step explanation:

5 0

2 years ago

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If AB=9, the diagram blank the case of a degenerate triangle because blank. The case of a degenerate triangle justifies the use