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coldgirl [10]
3 years ago
12

Solve this system of equations 3x+4y=36 y= -1/2x+8 x= y=

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36

3x + 4(-1/2x + 8) = 36

3x - 2x + 32 = 36

x + 32 = 36

x + 32 - 32 = 36 - 32

x = 4

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

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(x + 5 1/2) 0.75= 5/8 What is x?
swat32
<span>(x + 5 1/2) 0.75= 5/8<span>
Convert 0.75 into a fraction
</span></span><span>(x + 5 1/2) 3/4= 5/8
Use distributive property
3/4x + 5 1/2*3/4 = 5/8
Convert 5 1/2 into improper fraction
3/4x + 11/2*3/4 = 5/8
Multiply
3/4x + 33/8 = 5/8
Subtract 33/8 from both sides
3/4x = 5/8 - 33/8
Subtract the numerators but NOT the denominators
3/4x = -28/8
Divide 3/4 on both sides
x = -28/8 divided by 3/4
Convert the division sign to multiplication while flipping the fraction 3/4 to 4/3
x = -28/8 * 4/3
Multiply
Final Answer: x = -112/24 or -4 16/24 or -4 4/6 or -4 2/3 *All answers are equivalent to each other.</span>
7 0
3 years ago
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
Read 2 more answers
What is the difference of the rational expressions below?
Rom4ik [11]

Answer:

** +2x

Step-by-step explanation:

All the other ones can be it any thing will have difference but how can you do it?

* -sign mutipulcation

2x+* can be different.

O c, OA is N X+2 and more is not a equation. * - can be times really any number.

3 0
3 years ago
Please answer it now in two minutes
Pepsi [2]

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

CosC = \frac{\text{DC}}{\text{BC}}

CosC = \frac{7}{8}

C=\text{Cos}^{-1}(\frac{7}{8})

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

4 0
3 years ago
What was the total amount of all checks vera deposited
BlackZzzverrR [31]

Answer: 1120.70

Step-by-step explanation:

3 0
4 years ago
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