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4 years ago

Donald builds desks. Every 8 desks require a pack of 48 screws. If Donald builds 32 desks, how many screws will he need?

Mathematics

1 answer:

user100 [1]4 years ago

3 0

32/8 = 4

48 x 4 = 192 screws will be needed

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3x – 4y> -6<br> 2x + y<7<br> y>-3

Sloan [31]

For the 1st problem, solve the 2nd equation for x.

x = -1 - y

Now, replace x in the 1st equation with (-1 - y)

2(-1 - y) - 3y = 2

-2 - 2y - 3y = 2

-2 - 5y = 2

-5y = 4

y = -4/5

x = -1 - (-4/5) = -1 + (4/5) = -1/5

The solution is (-1/5, -4/5)

For the 2nd problem, multiply the top equation by 15 and the bottom equation by -12. That gives us:

10x - 12y = 15

-36x +12y = 84

Add the two together, which gives us:

-26x = 99

x = -99/26

Now, put this value of x into either equation to solve for y

3(-99/26) - y = -7

-297/26 - y = -7

-y = -7 + 297/26

-y = 115/26

y = -115/26

The solution to this system is (-99/26, -115/26)

8 0

3 years ago

How do I find the difference in the simplest form?

GrogVix [38]

Answer:

Step-by-step explanation:

$\frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2$

5 0

2 years ago

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the a

timofeeve [1]

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

6 0

2 years ago

Need DESPERATE help! I'm taking a unit test for math (k12, 10th grade) I got 3 done already so here's the ones I missed: Questio

wlad13 [49]

Answer:

Step-by-step explanation:

Question 6)

sin Y= m

sin Y = m/1

So, hypotenuse is 1

Since sine is opposite over hypotenuse

So XZ= m and YZ = 1

Similarly, cos Y = k

cos Y = k/1

So adjacent side of angle Y is k

So XY = k

cos z - sin z = $\frac{XZ }{YZ } - \frac{XY}{YZ}$

cos z - sin z = $\frac{m }{1 } - \frac{k}{1}$

cos z - sin z = m - k

Question 7)

the relationship between sine, cosine, and tangent.

tan(x) = sin(x)/cos(x) = (11/61)/(60/61)

tan(x) = 11/60

Question 8)

Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it.

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

The answer is 22

6 0

3 years ago

Attachment look at it

stiks02 [169]

4J-7S
21/7=3

multiply both sides by 3
12J-21S
12 cups of juice to make 21 cups of soda

4 0

3 years ago