The system of equations is:
x = 2y
x*$10 + y*8 = $84
Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.
<h3>
How to write the system of equations?</h3>
First, we need to define the variables:
- x = number of hours washing cars.
- y = number of hours landscaping.
We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:
x = 2y
We also know that he earned a total of $84, then:
x*$10 + y*8 = $84
So the system of equations is:
x = 2y
x*$10 + y*8 = $84
To solve it, we just replace the first equation into the second one:
(2y)*$10 + y*8 = $84
y*$28 = $84
y = $84/$28 = 3
So He worked 3 hours landscaping, and:
x = 2*y = 2*3 = 6
6 hours washing cars.
If you want to learn more about systems of equations:
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Answer:
x≥38 points
Step-by-step explanation:
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?
julio has a 24 game basketball season.
he has played 8, it means there are 16 more games to go
therefore=
he has scored 256 nts, wic means there are still 608 points to go .
864-256=608
x is the points he more score per every game.
16x=608
to break the records ,he must score an extra point 1
so 16x≥608
x≥38
Answer:
b. y = 1000x
Constant of proportionality = 1,000
Step-by-step explanation:
The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.
Where,
k = constant of proportionality.
From the three given equations, the only equation that takes the form is b. y = 1000x.
The constant of proportionality (k) of the equation = 1,000.
Answer:
<u>Segment</u><u> </u><u>Addition</u><u> </u><u>Postulate</u>
<u>BC</u> + <u>AB</u> = <u>CA</u> [BOTH answers]
<u>Application</u><u> </u><u>with</u><u> </u><u>Midpoint</u>
<u>BC</u> = <u>BA</u>
1a) 9 = <em>x</em>
1b) 34 = FA
1c) 3 = AT
2a) 11 = <em>x</em>
2b) 37 = BO
2c) 37 = OX
2d) 74 = BX
Step-by-step explanation:
The Segment Addition Postulate is basically saying that if
___
point <em>B</em><em> </em>is in between <em>AC</em><em> </em>[NOT<em> </em>the <em>midpoint</em><em> </em>(or halfway)],<em> </em>then both segments [AB and BC] would make up the whole thing [CA, or vice versa]. They are just explaining it in two unique ways you can word it.
The Midpoint Application tells you that if point <em>B</em><em> </em>is a
___
<em>midpoint</em><em>,</em><em> </em>meaning <em>B</em> is halfway in between <em>AC</em><em>,</em><em> </em>then both segments [AB and BC] are congruent to each other.
1a) 37 = [2<em>x</em> - 15] + [3<em>x</em> + 7]
37 = 5<em>x</em> - 8
+ 8 + 8
____________
45 = 5<em>x</em>
___ ___
5 5
9 = <em>x</em>
1b) Solving for FA

1c) Solving for AT

This obviously had to be the answer because 3 + 34 = 37.
2a) 2<em>x</em> +15 = 4<em>x</em> - 7
- 4<em>x</em> - 4<em>x</em>
_________________
-2<em>x</em> + 15 = -7
- 15 -15
_____________
-2<em>x</em> = -22
<em>x</em><em> </em>= 11
2b) Solving for BO

2c) Solving for OX

2d) Solving for BX

I am joyous to assist you anytime.