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olganol [36]
3 years ago
5

Kavi solved the system

Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

She should have substituted y = 17 - 2x in the first equation

Step-by-step explanation:

3x + 4y = 33

2x + y = 17

y = 17 - 2x

3x + 4(17 - 2x) = 33

3x + 68 - 8x = 33

5x = 35

x = 7

y = 17 - 2(7)

y = 3

x = 7, y = 3

Only one solution

You might be interested in
A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....
frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7%</em>

<em>about 41.5%</em>

<em>about 42.5%</em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>

<em>As the red grapes are 15..</em>

<em>Thus,</em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22</em>

<em>=105/253</em>

<em>=0.415</em>

<em>= 41.5%</em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

5 0
2 years ago
4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Zanzabum

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

7 0
2 years ago
When using a ruler, where is the unit?
Afina-wow [57]

Answer:

Is it The numbers on the ruler?

Step-by-step explanation:

6 0
2 years ago
Which statement is true?
ASHA 777 [7]
C is the correct answer!
8 0
3 years ago
For the equation, y=-x+4 tell whether its graph passes through the first quadrant. Explain how you know. Please help asap!
marysya [2.9K]
Yes it does because when you graph it the next point would be (1,0).
4 0
3 years ago
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