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Tatiana [17]
3 years ago
15

Solve the following system of equations

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

y= 28/17

x= 57/17

Step-by-step explanation:

5x + 2y = 22

-2x + 6y = 3

(2)(5x + 2y = 22)→ 10x + 4y = 44

(5)(-2x + 6y = 3)→ -10x +30y = 15

Add this last eq → 34y=56 → y= 28/17

Replace this in any equation

-2x + 6(28/17) = 3 →  x= - (54/17-168/17)/2 =  57/17

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Help me please past due! Complete all 5 problems in simplest form and tell me what you did
Sonbull [250]
3/6= 1/2 because 3 is the half of 6 and 1 is the half of 2

5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20

9/27= 1/3 because 1 x 9 =9 and 3 x 9=27

1/2 is the simplest form already

12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36
6 0
3 years ago
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
A milkshake recipe calls for 1/3 cup of milk for each milkshake. If a server has 15/8 cups of milk, what is the maximum number o
Zepler [3.9K]

Answer:

5 milk shakes

Step-by-step explanation:

From the above question, we know that for the recipe

1/3 cup of milk = 1 milk shake

15/8 cup of milk = y milk shakes

We cross Multiply

15/8 cup × 1 = 1/3cup × y

y = 15/8 cup × 1 /1/3cup

= 15/8 ÷ 1/3

= 15/8 × 3

= 45/8

= 5.625 of 5 5/8 cups of milk

Therefore, the maximum number of

milkshakes the server can make following the recipe porpotians is 5 milk shakes.

4 0
3 years ago
There are 68 calories in 1 serving of cereal. If a bowl holds 7 ​servings, how many calories are in the​ bowl?
maria [59]

Answer:

476

Step-by-step explanation:

68 \times 7 = 476

because there are 68calories per serving and there are 7 servings

6 0
3 years ago
If the farmers market sold 35% of its produce and has 280 peaches remaining, how many peaches did it have?
PSYCHO15rus [73]

100-35 = 65%

280/0.65 = 430

 he had 430 peaches


3 0
3 years ago
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