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lidiya [134]
2 years ago
11

2015 #11

Mathematics
1 answer:
lora16 [44]2 years ago
5 0

Answer:  27/14

Step-by-step explanation:

(x+2)/x +(x-6)/3x = (2x+9)/5x      

(3x+6)/3x + (x-6)/3x = (2x+9)/5x       First term:  [(x+2)/x]*(3/3) = (3x+6)/3x

(4x)/3x = (2x+9)/5x                             Combine (3x+6)/3x + (x-6)/3x  [=(4x)/3x]

(4/3)*5x = 2x + 9                      [(4x)/3x = 4/3] and multiply both sides by 5x

(20/3)x - 9 = 2x                     [(4/3)*5x] = (20/3)x;   Subtract 9 from both sides

20x - 27 = 6x                Multiply both sides by 3

14x = 27                          Simplify

x = 27/14                          And solve

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— 7x — бу = — 15 Determine the intercepts of the line.
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Answer:

see below

Step-by-step explanation:

— 7x — бу = — 15

To find the x intercept set y = 0 and solve for x

-7x - 0 = -15

-7x= -15

Divide by -7

-7x/-7 = -15/-7

x = 15/7

The x intercept is (15/7,0)

To find the y intercept set x = 0 and solve for y

o— бу = — 15

— бу= -15

Divide by -6

— бу/-6= -15/-6

у= 5/2

The y intercept is (0,5/2)

8 0
2 years ago
Mrs. thomas has 18 cups of popcorn. she wanted to divide the popcorn into 2/3 cup bags.how many bags can she make ?
Usimov [2.4K]
18 ÷ (2/3) = 18 × (3/2) = 18×3/2 = 9×3 = 27
The answer is 27
3 0
3 years ago
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Sonja [21]
To find the amount of soup in the soup-milk mixture, we just need to subtract the amount of milk from the amount of soup-milk mixture.

2 5/8 - 1 1/3 = 1 7/24.

There were 1 7/24 cups of soup in the can.
Hope that helped =)
8 0
3 years ago
Evaluate the expression (-6) squared
fiasKO [112]

\huge \boxed{\mathfrak{Question} \downarrow}

  • Evaluate the expression ⇨ (-6) squared.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\sf (-6)  \: squared

This will be equal to..

\sf( - 6 ) ^ { 2 }

Multiply -6 by itself (squaring a number means to multiply the number by itself twice)

\sf- 6 \times  - 6  \\

-6 multiplied by-6 will get you 36 as the answer.

=    \boxed{\boxed{\bf \: 36}}

7 0
3 years ago
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, m
lisov135 [29]

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

5 0
3 years ago
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