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grandymaker [24]
3 years ago
8

Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution

. Show all the steps and write the solution in (x, y) form.
Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
Y = -2x +8
y = x-1

y=y

-2x+8 = x-1

-3x = -1 -8

-3x = -9

3x = 9

x = 3


 
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help. If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?
Semmy [17]

Answer: 29 cans.

Step-by-step explanation:

20 can survive 24 days with 15 cans.

If X is the number of days that a man can survive with one can of rations.

so X is in the units can/day

then we have that:

24/15*X = 20

X = 20*15/24 = 12.5

This means that a man can live 12.5 days with a can of food.

then, for 16 men and 36 days we have:

(36/C)*12.5 = 16

C = (36/16)*12.5 = 28.1215

And we can not have a 0.1215 of a can, so we should round it up to 29 cans.

4 0
3 years ago
- There are 24 bottles of water in a case.
muminat

Answer:

96

Step-by-step explanation:

No. Of bottles in a case × No. Of cases bought

24 × 4

= 96

7 0
3 years ago
Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!
Westkost [7]

Answer:

In radical from 169/50 , 177/200

Step-by-step explanation:

Given:

2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6

Find:

Value of x

Computation:

Using quadratic formula:

\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885

Value of x 3.38 , 0.885

In radical from 169/50 , 177/200

8 0
4 years ago
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS
kari74 [83]

Answer:

a) Null and alternative hypothesis:

H_0: \pi=0.1\\\\H_a:\pi>0.1

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

H_0: \pi=0.1\\\\H_a:\pi>0.1

7 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = −3 and dilation by a scale factor of 3 from the origin. Which equation shows
Allisa [31]

Answer:

  see below

Step-by-step explanation:

Each segment in ΔA"B"C" is 3 times the length of the corresponding segment in ΔABC. This is due to the dilation by a scale factor of 3.

Then you have ...

  \overline{A''B''}=3\overline{AB}\quad\text{or}\\\\\dfrac{\overline{AB}}{\overline{A''B''}}=\dfrac{1}{3}

The latter relation matches the second choice.

5 0
4 years ago
Read 2 more answers
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