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Eva8 [605]
2 years ago
13

In each equation below, the letter x stands for an unkn

Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

x=35

Step-by-step explanation:

Given the following question:

\frac{x}{5} =7

When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.

\frac{x}{5} =7
\frac{5x}{5} =x
7\times5=35
x=35

Hope this helps.

erastovalidia [21]2 years ago
5 0

Answer:

x = 35

Explanation and Chcek part below

Hope this helps :)

Step-by-step explanation:

x

Fraction bar/divide ---> --- = 7

5

1. <u>Isolate the variable</u> since it says dividing by 5 we must do the <u>inverse operatio</u>n which is multiplying by 5 to cancel them out. We are <u>multiplying by 5 on one side of equation so we must multiply on the other side too.</u> When a number is <u>next to parenthesis</u> it means to <u>multiply</u> the 2 numbers.

x

(5) -- = 7 (5)

5

x = 35

Check:

35

---- = 7

5

7 = 7

True statement.

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which of the ordered pairs is a solution of the given system? y=3x-2 y=-x A.(2,9)B.(1,4)C.(1/2,-1/2)
lesantik [10]

Step-by-step explanation:


7 0
3 years ago
On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs
SIZIF [17.4K]

Answer:

30 first-class tickets were sold and 260 coach tickets were sold.

Step-by-step explanation:

Let a first-class ticket be represented by f and let a coach ticket be represented by c.

On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:

f+c=290

The total income was $95,280. Therefore:

680f+288c=95280

We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:

85f+36c=11910

From the first equation, we can subtract f from both sides:

c=290-f

Substitute:

85f+36(290-f)=11910

Distribute:

85f+10440-36f=11910

Simplify:

49f=1470

So:

f=30

From the previous equation:

c=290-f

Substitute:

c=290-30=260

30 first-class tickets were sold and 260 coach tickets were sold.

5 0
3 years ago
At a local print shop, 18 copies can be made for $6. At this rate, how much would it
Ber [7]

Answer: to make 78 copies it cost 26 dollars.

Step-by-step explanation:

18 copies - 6 dollars

78 copies - x dollars

Hence,

\displaystyle\\x=\frac{78*6}{18} \\\\x=\frac{26*3*6}{3*6} \\\\x=26 \ dollars

5 0
2 years ago
On a piece of paper graph y=-2x-4
Snezhnost [94]

Answer:

Use a graphing calc or desmos to help guide you.

Step-by-step explanation:

3 0
3 years ago
Write the equation of a line that passes through the points (-2, -8) and (2, -6).
Anna [14]

Answer:

y = \frac{1}{2} x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)

m = \frac{-6+8}{2+2} = \frac{2}{4} = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 6), then

- 6 = 1 + c ⇒ c = - 6 - 1 = - 7

y = \frac{1}{2} x - 7 ← equation of line

5 0
3 years ago
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