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Katen [24]
2 years ago
11

Try to solve the system of equations. Explain the result.

Mathematics
1 answer:
Sauron [17]2 years ago
5 0

Answer:

x = -95, y = 22.75, z = -6.625

Step-by-step explanation:

We start with the line that only has 1 variable, since that's easiest to solve.

2y + 162 = -28

2y = -190

y = -95

Then we go to the line that has 2 variables and substitute y with -95, since that's what y is equal to.

4x -95 = -4

4x = 91

x = 22.75

Then we do the last line with the answers we've gotten so far.

-14(22.75) - 3(-95) + 4z = 7

-318.5 + 285 +4z = 7

4z = -26.5

z = -6.625

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1. A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicl
hichkok12 [17]

Answer:

(a) 2% (b) 15

Step-by-step explanation:

(a):

80 - blue (32%)

60 - white (24%)

50 - red (20%)

45 - black (18%)

10 - silver (4%)

Total: 245

5 - other (2%)

(b):

60 - white

45 - black

Difference: 15

4 0
3 years ago
Find the value of x.
V125BC [204]

Answer: B. 14

Step-by-step explanation:

because 140 divided by 10 equals 14

3 0
3 years ago
Read 2 more answers
Mike drank more than half the juice in his glass. what fraction of the juice could Mike have drunk?
maxonik [38]
He drank more than half of his drink... So we need to look for fractions greater than 1/2.

First, lets find equivalents of 1/2

\frac{1}{2}= \frac{2}{4} = \frac{3}{6}= \frac{4}{8}

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.

 2 +1 3
__= ___
 4      4

3/4 is greater than 1/2

Mike could have drunken 3/4 of the juice

4/6>1/2 Mike could have drunken 4/6 of the juice

5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.

Answer=3/4, 4/6, 5/8 and many more possible fractions

4 0
3 years ago
Read 2 more answers
When measuring distance 43 peas are approximately equal to 19 beans. How many peas are equal to 133 beans?
nikdorinn [45]

Answer:

  301

Step-by-step explanation:

Assuming the proportion holds over longer distances, the ratios can be written ...

  peas/beans = p/133 = 43/19

  p = 133(43/19) = 301

301 peas are equal to 133 beans.

4 0
2 years ago
Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0
3 years ago
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