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k0ka [10]
3 years ago
13

What value of M gives the system infinitely many solutions? -x+2y=16 Y=mx+8

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0
First you move. -x for +x
2y = 16 + x
y = 8 + 1/2 x

the answer is

y = 1/2x + 8
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Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.
Dafna11 [192]

Given equation : \frac{x}{42}=\frac{3}{7}.

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

<h3>x = 18.</h3>

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

42\times \frac{x}{42}=42\times\frac{3}{7}

x = 6 * 3

<h3>x = 18.</h3>
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the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

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Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria. Latoya served 10 more orders than Milan, Ho
Tems11 [23]

Orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

<u>Solution:</u>

Given, Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria.  

Let orders served by Latoya ne a, orders served by Milan be b and orders served by hong be c.

Then, a + b + c = 154 ⇒ (1)

Latoya served 10 more orders than Milan, ⇒ a = b + 10

Hong served 4 times as many orders as Milan. ⇒ c = 4b

We have to find how many orders did they each serve?

Now, substitute a and c values in (1)

(b + 10) + b + 4b = 154

b + b + 4b = 154 – 10

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b = 24

Then, a = 24 + 10 = 34 and c = 4 x 24 = 96.

Hence, orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

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3 years ago
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