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ehidna [41]
3 years ago
13

What is the solution to this system of equations?

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

(x,y) = (3, 1/2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..

To solve this, add the equations;

x + 2x + 2y - 2y = 4 + 5

3x = 9

x = 3

substitute the value of x into the first equation,

3 + 2y = 4

2y = 4 -3

2y = 1

y = 1/2

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Write the sentence as an equation. 392 plus the product of f and 340 is equal to f
prohojiy [21]

392+340f=f product is multiplying and plus is add

3 0
3 years ago
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product. How many total cup
givi [52]

Answer:

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

Step-by-step explanation:

This question can be solved by a rule of three.

A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.

1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.

How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?

2 and 1/2 batches is 2 + 0.5 = 2.5 batches.

1.75 cups for one batch. How many cups for 2.5 batches? So

1 batch - 1.5 cups

2.5 batches - x cups

c = 2.5*1.5 = 3.75

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

8 0
3 years ago
Read 2 more answers
L need help with this​
soldi70 [24.7K]

Answer:

$24.11

Step-by-step explanation:

Let the cost of the present be c.

Then (3/4)c = $18.33.

To isolate (solve for) c, mult. both sides of this equation by (4/3):

(4/3)(3/4)c = (4/3)($18.33), or

             c  =  $24.11

5 0
3 years ago
scores on a test have a mean of 67 and a standard devation of 10. michelle has a score of 87. convert michelle score to a z-scor
klasskru [66]

Answer:

z-score = 2.

Step-by-step explanation:

The z-score = (x - m) / d   where x =the person's score, m = the  mean and d = the standard deviation.

So we have (87-67)/10

= 2.

6 0
3 years ago
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Reil [10]

Answer:

13.36

Step-by-step explanation:

I will first create a table

X. Y. XY. X²

1. 20. 20. 1

2. 24. 48. 4

3. 35. 105. 9

4. 46. 184. 16

5. 67. 335. 25

6. 80. 480. 36

1. 12. 12. 1

2. 34. 68. 4

3. 34. 102. 9

5. 78. 430. 25

ΣX = 32

ΣY = 430

ΣXY = 1744

ΣX² = 130

n = 10

The formula for regression line is given as :

Y = a + bX

a = intercept

b = slope

The question requires us to find b which is the slope.

b = nΣXY-ΣXΣY/nΣX²-(ΣX)²

= 10x1744-32x430/10x130-(32)²

= 17440-13760/1300-1024

= 3680/276

= 13.36

b = 13.36

6 0
3 years ago
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