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Maslowich
3 years ago
7

Substitution 4x-2y=10 y=2x-5

Mathematics
1 answer:
Reil [10]3 years ago
5 0

4x - 2y = 10

y = 2x - 5

Because we have a value for y, we can plug it into the first equation to solve for x.

4x - 2(2x - 5) = 10

Distributive property.

4x - 4x + 10 = 10

Combine like terms.

<h3>10 = 10</h3><h3>The equation is true, and so there are infinite solutions, meaning both lines are on top of each-other. </h3>
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A carpenter needs 9.3 feet of rope for a project. How much will the carpenter spend if the rope costs $3.82 per foot?
den301095 [7]

The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>

The length of rope is given as:

Length = 9.3 feet

The price per rope is given as:

Price per rope = $3.82 per foot

The total amount spent by the carpenter is calculated as:

Total amount = Length * Price per rope

Substitute the known values in the above equation

Total amount = 9.3 feet * $3.82 per foot

Evaluate the product

Total amount = $35.526

Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

Read more about products at:

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2 years ago
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Geometry question 2, Thanks if you help!
wlad13 [49]
A. 113 because vertical angles are congruent.
8 0
3 years ago
Find the equation of the line that passes through point (7,5) and (-9,5)
Papessa [141]

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = \frac{5-5}{-9-7} = \frac{0}{-16} = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

4 0
3 years ago
Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that
Burka [1]

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.

Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).

To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.

To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.

6 0
3 years ago
Reuben walks 2.5 km every day. How far does he walk in 7 days?<br> Write your answer in meters.
Fed [463]

Answer:

1day=2.5km

7days=?

<u>7</u><u>×</u><u>2</u><u>.</u><u>5</u>

1

=17.5km

1km=1000m

27.5km=?

=27500m

5 0
3 years ago
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