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Luda [366]
3 years ago
6

Use intercepts to graph the linear equation 5x + 3y = 30.

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer x=6 and y=10

Explanation:

Replace each variable in turn with 0 and solve

5x+3y=30  Put zero in place of x and solve for y

5(0)+3y=30

\frac{3y}{3} =\frac{30}{3}

y=10 The y- intercept is 10

5x+3y=30 Put zero in place of y and solve for x

5x+3(0)=30

\frac{5x}{5} =\frac{30}{5}

x=6  The x-intercept is 6

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In a completely randomized design involving four treatments, the following information is provided. Treatment 1 Treatment 2 Trea
NeTakaya

Answer:

Option (b) 36.7

Step-by-step explanation:

Data provided in the question:

                       Treatment 1     Treatment 2     Treatment 3      Treatment 4

Sample Size          50                   18                     10                          17

Sample Mean        32                   36                    42                         48

Now,

The overall mean is calculated as

= \frac{\sum_{i = 1}^{4} n_i X_i}{\sum_{i = 1}^{4} {n_i}}

Here, Xi = Sample mean

n = sample sizes

Thus,

Overall mean

= [ (50 × 32) + (18 × 36) + (10 × 42) + (17 × 48) ] ÷ [ 50 + 18 + 10 + 17 ]

= [ 1600 + 648 + 420 + 816 ]  ÷ 95

= 36.67 ≈ 36.7

hence,

Option (b) 36.7

7 0
4 years ago
it costs $20 for 4 play tickets and $35 for 7 play tickets. Is cost per ticket constant? why or why not?
KonstantinChe [14]

Answer:

The cost per ticket is<u> constant</u>.

Step-by-step explanation:

Given:

It costs $20 for 4 play tickets and $35 for 7 play tickets.

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So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.

Now, we check it:

4 play tickets costs  = $20.

1 play tickets costs  = $20 ÷ 4 = $5.

So, 7 play tickets costs = $5 × 7 = $35.

Thus, the cost of ticket for play is not changing and it is constant.

So the cost per ticket is constant.

Therefore, the cost per ticket is constant.

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Answer:

The answer is

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