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KonstantinChe [14]
3 years ago
10

Twice a number added to another number is –8. The difference of the two numbers is 2. Find

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

-2 and -4

Step-by-step explanation:

→ Make variable's for each number

x is the first variable and y is the second

→ Form equations

2x + y = -8

x - y = 2

→ Solve

3x = -6

→ Divide both sides by 3

x = -2

→ Resubstitute that into one of the equations

-2 - y = 2

→ Add 2 on both sides

-y = 4 therefore y = -4

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One of the tallest living men has a height of 236 cm. One of the tallest living women is 224 cm tall. Heights of men have a mean
Roman55 [17]

Answer:

A. The woman is relatively taller because the z score for her height is greater than the z score for the man​'s height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean \mu and standard deviation /sigma is given by:

Z = \frac{X - \mu}{\sigma}

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

Z = \frac{X - \mu}{\sigma} = \frac{236-170}{6} = 11

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

Z = \frac{X - \mu}{\sigma} = \frac{224-161}{5} = 12.6

The women has a higher z-score, so she is relatively taller.

The correct answer is A

3 0
4 years ago
during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the
d1i1m1o1n [39]

The cash price of the article is 88 cedis.

In this question, the article has a price, but paid in cash, there are two discounts.

  • Price of 115 cedis.
  • Discount of 15%, thus, 1 - 0.15 = 0.85 is paid, that is, the price is multiplied by 0.85.
  • Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.

Thus, the cash price is:

P = 115\times0.85\times0.9 = 88

The cash price of the article is 88 cedis.

A similar question is given at: brainly.com/question/14738783

8 0
3 years ago
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What
stiks02 [169]

Answer:

2 was not multiplied by 5

Step-by-step explanation:

2(x + 5) = 2x + 5

The correct expansion form distributive property should be :

2(x + 5) = 2*x + 2*5 = 2x + 10

2(x + 5) = 2x + 10

4 0
3 years ago
Find the product of (x − 5)2.
Iteru [2.4K]

<u>Answer:</u>

x² - 10x + 25

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

The formula for squaring any binomial (an expression with two terms) is:

(a ± b)² = a² ± 2ab + b²

Let a = x and b = 5.

∴ Substituting:

   (x - 5)² = x² - 2(x)(5) + (-5)²

               = x² - 10x + 25

7 0
2 years ago
Which is the graph of f(x)=2(3)x​
larisa86 [58]

Answer:A 1st graph

Step-by-step explanation:

4 0
3 years ago
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