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3 years ago

Kenyon ran for 8 miles each week while training. Here is his record of the number of miles he ran.

Mathematics

1 answer:

diamong [38]3 years ago

8 0

Step-by-step explanation:

Let x be the miles Kenyon ran on tuesday

Let y be the miles Kenyon ran on thursday

Given,

Mon + Tues + Wed + Thu = 8mi

$1.2 + x + 1.6 + y = 8 \\ 2.8 + x + y = 8 \\ x + y = 8 - 2.8 \\ x + y = 5.2$

also given,

$y = x + 0.4 \\ - x + y = 0.4$

Now we have x + y = 5.2 as equation 1 and -x + y = 0.4 as equation 2

Using equation 1,

$x + y = 5.2 \\ x = 5.2 - y$

Substitute this equation into equation 2.

$- (5.2 - y) + y = 0.4 \\ - 5.2 + y + y = 0.4 \\ - 5.2 + 2y = 0.4 \\ 2y = 0.4 + 5.2 \\ 2y = 5.6 \\ y = 5.6 \div 2 \\ = 2.8mi$

Substitute y = 2.8 into equation 1.

$x + 2.8 = 5.2 \\ x = 5.2 - 2.8 \\ = 2.4mi$

Therefore Kenyon ran 2.4 miles on tuesday, and ran 2.8 miles on thursday.

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3 years ago

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Answer:

Step-by-step explanation:

11 1/2 = 11.5

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3 years ago

You measure 33 backpacks' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 12

saul85 [17]

Answer:

$E=3.4363$

Step-by-step explanation:

#Given a significance level of $\alpha=1-CI=1-0.90=0.1$ and

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3 years ago

At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.

Viefleur [7K]

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

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3 years ago

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