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4 years ago

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Consecutive integers are 1,2,3,4 and so on. Consecutive even integers are 2,4,6,8 and so on. The sum of an integer and twice the

next consecutive even integer is 178. Write and solve an equation to find the two integeres. Let 2x represent the first even integer

1 answer:

antiseptic1488 [7]4 years ago

4 0

the numbers are x=58 & x+2=60 , i.e. 58 and 60 .

<u>Step-by-step explanation:</u>

Here we have , Consecutive integers are 1,2,3,4 and so on. Consecutive even integers are 2,4,6,8 and so on. The sum of an integer and twice the next consecutive even integer is 178. We need to Write and solve an equation to find the two integers. Let's find out:

Let the integer be x , and the next consecutive even integer be x+2 .Now , According to question , The sum of an integer and twice the next consecutive even integer is 178 i.e.

⇒ $x + 2(x+2)=178$

⇒ $x + 2x+4=178$

⇒ $3x+4=178$

⇒ $3x=174$

⇒ $\frac{3x}{3}=\frac{174}{3}$

⇒ $x=58$

Therefore , the numbers are x=58 & x+2=60 , i.e. 58 and 60 .

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Step-by-step explanation:

Given that a recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean number of minutes spent watching television was 48.4 minutes, with a standard deviation of 18.1 minutes.

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(Right tailed test where x stands for single earner and y for double)

Let us assume sample sizes are 500 each.

Difference -12.600

Standard error 1.066

95% CI -14.6913 to -10.5087

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Since p is less than alpha we reject null hypothesis.

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3 years ago

What is the answer!!! 35.00 for a jacket. 10% discount 5% sales tax whats the final cost? PLEASE HELP ME

ASHA 777 [7]

Firstly, you should find the discount that is taken off of the jacket, and then also find the sales tax.
As the discount is 10%, you simply have to divide 35 by 10. 35/10= 3.50.
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However, if the sales tax is on the discounted price, then it will be 31.50/10= 3.15/2= 1.58, and you've then got to add this is to discount price, which is 31.50+1.58= 33.08

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3 years ago

Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 Is she correct? How do you know?

yan [13]

Answer:

The point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1) $y=4x-2$

2) $y=\frac{1}{2}x+5$

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of $y$ from first equation in the second equation and solve for $x$

So, we have

$4x-2=\frac{1}{2}x+5$

Multiplying both sides by 2 to remove fraction.

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Using distribution.

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Adding 4 to both sides.

$7x-4+4=10+4$

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$\frac{7x}{7}=\frac{14}{7}$

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So, the point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

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3 years ago

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Answer:

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Step-by-step explanation:

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$P(Event)=\frac{3}{8}\cdot \frac{5}{7}=\frac{15}{56}$

<u>First Draw Not Blue, Second Draw Not Blue:</u>

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To get the probability of the event, since each draw is independent, we multiply both probabilities.

$P(Event)=\frac{5}{8}\cdot \frac{3}{7}=\frac{15}{56}$

To get the probability of exactly one blue, we add both of the events:

$\frac{15}{56}+\frac{15}{56}=\frac{15}{28}$

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3 years ago