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2 years ago

find two consecutive even integers such that five times the first integer is equal to four times the second integer

Mathematics

2 answers:

drek231 [11]2 years ago

5 0

Answer:

8 and 10

Step-by-step explanation:

All you need to know to begin setting this up is that to get from one even integer to the next consecutive even integer, add 2.

Start with x = an even integer (yes, because you say so!)

Next even integer = x + 2

"five times the first integer is equal to four times the second integer"

5x = 4(x + 2)

Distribute the 4.

5x = 4x + 8

Subtract 4x

x = 8

The two integers are 8 and 10

5(8) = 4(10) as desired!

Nadya [2.5K]2 years ago

4 0

Answer:

8 and 10

Step-by-step explanation:

"Five times the first is equal to 4 times the second" means the ratio of the smaller to larger is 4 : 5.

Those ratio units differ by 1. You want two numbers that differ by 2, so you can get them by multiplying these ratio values by 2:

4 : 5 = 8 : 10

Your two numbers are 8 and 10.

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3 years ago

for every girl taking classes at the martial arts schools there are 3 boys who are taking classes at the school. if there are 23

Yuliya22 [10]

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3 0

3 years ago

Which symbol makes 3 13/28 and 3 17/30 a true sentence

mixas84 [53]

Answer:

Step-by-step explanation:

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3 0

4 years ago

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 havi

QveST [7]

Answer: $(-0.48,\ -0.04)$

Step-by-step explanation:

The confidence interval for the difference of two population proportion is given by :-

$(p_1-p_2)\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The first sample consists of 20 people with 9 having a common attribute.

Here, $n_1=20$ , $p_1=\dfrac{9}{20}=0.45$

$n_2=2100$ , $p_1=\dfrac{1492 }{2100}\approx0.71$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

A 95% confidence interval for the difference of two population proportion will be :-

$(0.45-0.71)\pm z_{\alpha/2}\sqrt{\dfrac{0.45(1-0.45)}{20}+\dfrac{0.71(1-0.71)}{2100}}\\\\\approx -0.26\pm0.22\\\\=(-0.26-0.22,-0.26+0.22)\\\\=(-0.48,\ -0.04)$

3 0

4 years ago

find two consecutive even integers such that five times the first integer is equal to four times the second integer​

find two consecutive even integers such that five times the first integer is equal to four times the second integer