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Anastaziya [24]
2 years ago
15

In a family, each brother has as many sisters as broth, but

Mathematics
1 answer:
irina [24]2 years ago
8 0

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

<u>Each boy has as many brothers as sisters</u>

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

<u>Now, each girl has twice as many brothers as that of sisters</u>

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

<u>y = 3</u>

Substituting value of Y in equation (1),

x - 3 = 1

Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

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Matthew is 3 times as old as jenny. in 7 years, he will be twice as old as she will be then. how old is each now? Explain how to
Nataliya [291]

Let m and j be the current ages of Matthew and Jenny, respectively.

Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:

m=3j

In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:

m+7=2(j+7)

Now, remembering that m=3j, we can rewrite the second equation as

3j+7=2j+14 \iff j = 7

So, Jenny is 7 and Matthew is 21 (he's 3 times older).

In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.

7 0
3 years ago
How do you solve twelve less than the quotient of a number and 7 is -2
Drupady [299]

Remark

One of the things you need to do is learn to read phrase by phrase.

What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.

x/7 is what you know so for. Now the first part says you take 12 away from that.

x/7 - 12 is what you have after doing that.

The result you get is - 2

x/7 - 12 = - 2 Add 12 to both sides

x/7 - 12 + 12 = - 2 + 12

x/7 = 10 Now multiply by 7

x = 10 *7

x = 70 <<< Answer the number is 70


6 0
3 years ago
1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0
3 years ago
the sum of the measures of two complementary angles is 90 degrees. find the measure of the angle labeled x
adoni [48]
3x - 10 + x = 90
4x = 100
x = 25 degrees
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3 years ago
Which letter represents the y-intercept in the slope-intercept equation of a line: y = mx + b?
jeka94
Y = mx + b
m represents the slope
b represents the y intercept
8 0
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