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Lostsunrise [7]

3 years ago

6

Find the solution for the system of linear equations by substitution: y = x. y = 2x - 4

2 answers:

Ghella [55]3 years ago

6 0

The answer would be Y=4

almond37 [142]3 years ago

4 0

Answer:

y= 4

Step-by-step explanation:

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Joe's father is 15 more than twice Joe's age. How old is Joe's father? Solve algebraically.

dalvyx [7]

Answer:

Joe's father is 45.

Step-by-step explanation:

3x-x+2=4

6 0

3 years ago

Read 2 more answers

There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W

jenyasd209 [6]

Answer:

Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old.

Step-by-step explanation:

Let $k$ be Kirk's age.

Let $b$ be Brian's age.

Let $m$ be Matt's age.

Let $m_{1}$ be the boss/manager's age.

From the information given, we can set up 4 equations:

$k+b+m+m_{1}=106$

$k=2(m_{1}-10)$

$b=2m_{1}-12$

$m=\frac{1}{2}m_{1}+6$

Rewrite the first equation, substituting $k$ , $b$ , and $m$ in terms of $m_{1}$ to get:

$2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106$

Open up the parentheses using the distributive property (which is $a(b-c)=ab-ac$ ) and combine like terms to get:

$5.5m_{1}-26=106$

Add 26 to both sides to reach:

$5.5m_{1}=132$

Thus, $m_{1}=24$ . Substitute $24$ for $m_{1}$ in the second, third, and fourth original equations to find that $k=28$ , $b=36$ , and $m=18$ . Therefore, Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

8 0

2 years ago

What are the common denominator for 4/5and 1/3

Maru [420]

Answer:

15 is the answer hope this helps

7 0

2 years ago

Read 2 more answers

Identify the domain of the function shown in the graph.

Charra [1.4K]

Answer:

C. <em>x</em> is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so <em>x</em> is all real numbers.

4 0

3 years ago

The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

andre [41]

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

$(x_1,y_1) = (70,630)$

$(x_2,y_2) = (100,900)$

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

Substitute the x and y values using

$(x_1,y_1) = (70,630)$ and $(x_2,y_2) = (100,900)$ ;

We have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

$y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}$

$y = 630 + (x - 70)\frac{270}{30}$

$y = 630 + (x - 70)*9$

Open bracket

$y = 630 + 9x - 630$

$y = 9x - 630+630$

$y = 9x$

To solve for y when x = 73.

We simply substitute 73 for x

$y = 9x$

$y = 9 * 73$

$y = 657$

<em>Hence, the yield for 73 cubic feet is 657 pounds</em>

6 0

3 years ago