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alexandr1967 [171]
3 years ago
12

14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1 Statements reasons

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

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Looking at the bill in a restaurant Mr. Svoboda had a difficult time reading the price of the meal. But he could see that 5% tax
padilas [110]

Answer:

The tip would be worth $2.19

Step-by-step explanation:

x - is the full bill

1/20 x = $0.73

Solve for x:

Multiply both sides by 20.

<u>20</u>*(1/20 x) = <u>20</u>*(0.73)

x = 14.6

Now we just have to find 15% of x to find the tip.

3/20 (14.6) = 2.19

So, the tip would be worth $2.19

6 0
4 years ago
McDonalds sells quarter-pound cheeseburgers for .99 cents last saturday.they sold 310 of these cheeseburgers. how many pounds of
Anvisha [2.4K]
The first thing you should do is calculate how many pounds of cheese a hamburger has
 1 hamburger = 1/4 pound of cheese.
 Then, you can make a rule of three to know how many pounds of cheese were sold:
 1 ---> 1/4
 310 ---> x
 Clearing x we have:
 x = ((310) / (1)) * (1/4) = 77.5
 Answer
 they sell last saturday 77.5 pounds of cheese
4 0
3 years ago
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have
PolarNik [594]

Answer:

$50 + ($30 x 12) = $410

Step-by-step explanation:

8 0
3 years ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
KatRina [158]

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

3 0
3 years ago
How do I solve and find x?
oee [108]

Answer:

x=60

Step-by-step explanation:

First get x all alone on 1 side of the equation. Add 14.5 to both sides of the equation to cancel out the negative. You will then be left with

x/5= 12

Multiply both sides of the equation by 5 to cancel out the division and you'll get x=60

5 0
2 years ago
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