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yuradex [85]
3 years ago
6

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x-y=3 y=2x+2

Mathematics
2 answers:
vazorg [7]3 years ago
6 0

We have been given that

3x - y = 3 and

y = 2x + 2

Substitute y = 2x + 2 in the first equation, we get,

3x - (2x + 2) = 3

3x - 2x - 2 = 3

x - 2 = 3

x = 5

y = 2x + 2

= 2(5) + 2

= 12

Hence, the solution is (5, 12).

Anvisha [2.4K]3 years ago
6 0

Answer:

B. (5,12)

Step-by-step explanation:

APEX

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Coffee costs $12 per case and tea cost $8 per case. If an order comes in for 250 cases for a total of $2,600 how many cases of c
Harlamova29_29 [7]
Coffee = $12
Tea = $8
Total cost = $2600
Total Case = 250

Assumed all 250 cases are Tea
250 x 8 = 2000

Difference in amount
2600 - 2000 = 600 (so $600 was from the coffee)

Difference between the price of coffee and tea
12 - 8 = $4

Number of cases of coffee
600 ÷ 4 = 150 

Number of cases of tea
250 - 150 = 100

150 cases of coffee were ordered


7 0
4 years ago
Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to
galben [10]
Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use Cos (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which Cos, Hypotenuse, and Adjacent side.

Cos^{-1} =45/100

Now, let's solve the left part of this function


Cos^{-1} =0.45

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

Cos^{-1} =0.45
63.25631605

Awesome. Let's round this number to the closest tenth

63.3 is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0
3 years ago
HELPPP !! If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be
sveticcg [70]

Answer:

x=12 and y=4.3

Step-by-step explanation:

Given the sides of quadrilateral that are  O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO  be a parallelogram.

we know opposite sides of parallelogram are equal.

Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.

Equating opposite sides equal, we get

8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12

implies, NM=x-5=12-5=7

NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3

Hence, x=12 and y=4.3

4 0
3 years ago
Pls, help me there's a lot of problems! Sorry, I'm kinda dumb!
alisha [4.7K]

Answer:

u did'nt put any problems?

Step-by-step explanation:

4 0
3 years ago
Only do # 23 and explain please
Tresset [83]

Answer:

a) 12x + 20y = 300

b) No

Step-by-step explanation:

You can define your variables however you like. Let x = number of caps and y = number of shirts.

Using the costs given the equation would be

12x + 20y = 300.

For part b the answer is no, only points with positive x and y values would be solutions, since you cannot have a negative number of caps or shirts.

4 0
3 years ago
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