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lukranit [14]
3 years ago
9

There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the numbe

r of students in Class B to Class C is 5:3. How many students are there in Class A?
Mathematics
2 answers:
morpeh [17]3 years ago
6 0

Answer:

A = 40

Step-by-step explanation:

A+B = 75

A+C = 61

Subtract

A+B = 75

-A-C = -61

----------------------

B-C = 14

B:C

5:3

for every 5B there are 3C

Replace B with 5/3 C

5/3C-C = 14

2/3C = 14

C = 21

A+C = 61

A +21 = 61

A = 40

Bezzdna [24]3 years ago
3 0

Answer:

40

Step-by-step explanation:

A +  B=75

A + C = 61

B = 5/3 *C

A+C * 5/3 = 75 then we got the answer

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F(j) = 6j + 5. Find f(⅓)
galben [10]

Answer:

f(j) = 6j + 5 if f(1/3)

f(j) = 6(1/3) + 5

f(j) = 2 + 5

f(j) = 7

Step-by-step explanation:

  1. replace j by 1/3
  2. distribute 6(1/3)
  3. do addition

4 0
3 years ago
Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among
Paha777 [63]

Answer:

A.) Population : All employees at a firm

B.) μ = 5.4

C.) Sample : 80 employees at a firm

D.) Sample mean, x bar = 4.5

Step-by-step explanation:

From the question :

E.)

H0: μ ≥ 5.4

H1 : μ < 5.4

F.)

If Pvalue < α ; Reject H0

G.)

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.5 - 5.4) ÷ (2.7/sqrt(80))

-0.9 ÷ 0.3018691

= - 2.98

H.)

Pvalue fro Zscore calculator, α = 0.10 = 0.002882

I.)

Decision :

0.002882 < 0.10

Since, Pvalue < α ; We reject the Null

J.)

We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced

6 0
2 years ago
What property is used in the second step of solving the inequality below?
Free_Kalibri [48]

Answer:

The Multiplication  property

Step-by-step explanation:

The Multiplication  property by a constant was used

For real numbers a and b, and c different from zero:

If c is positive and a then a*\frac{1}{c}.

If c is negative and a then a*\frac{1}{c} >b*\frac{1}{c}.

In this case we have

5x  Then  \frac{5}{5}x

Finally

x

8 0
3 years ago
A RIGHT TRIANGLE HAS SIDES OF LENGTHS 3,4, AND X.
Diano4ka-milaya [45]

Answer:

1) hypotenuse = 5

2) leg = 2.65

Step-by-step explanation:

1) x² = 3² + 4² = 9 + 16 = 25

x = √25 = 5

2) x² = 4² - 3² = 16 - 9 = 7

x = √7 = 2.65

7 0
3 years ago
When a number, n, is increased by two and then the result is divided by five the quotient is equal to 14. write an equation and
zavuch27 [327]

Step-by-step explanation:

We have (n + 2)/5 = 14.

=> (n + 2) = 14 * 5 = 70 (multiply 5 on both sides)

=> n = 70 - 2 = 68. (subtract 2 on both sides)

Hence the number n is 68.

3 0
3 years ago
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