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Mars2501 [29]
3 years ago
15

What is the solution to the system of equations y= -3x+6 and y =9

Mathematics
1 answer:
Lilit [14]3 years ago
7 0
Plug the value of 9 in for y
9=-3x+6

Subtract 6 from both sides
3=-3x

Divide both sides by -3
-1=x

Final answer: x=–1
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. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the
FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

====================

<h2>Given</h2>

  • Two bottles of similar shape;
  • Larger bottle has volume of 100 ml;
  • The length of larger bottle is 10 cm;
  • The length of smaller bottle is 5 cm.

<h2>To find </h2>

  • The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

  • k = 5/10 = 1/2

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

  • V_{small}/V_{large} = k^3\\

Substitute the known values and find the volume of small bottle:

  • V_{small}/100= (1/2)^3\\
  • V_{small}/100= 1/8
  • V_{small}= 1/8*100=12.5

The smaller bottle holds 12.5 ml of perfume.

4 0
2 years ago
Read 2 more answers
a school has 450 learners.the ratio of boys to the number of girls is 7:8 determine the number of boys and girls in the school​
Tom [10]

Answer:

Boys : 210

girls: 240

Step-by-step explanation:

7+8=15

450/15=30

boys: 30*7= 210

girls: 240

to make sure......

210+240=450

6 0
3 years ago
in the town of pleasant hill there is an average of 16 sunny days each month. write an expression to represent the approximate n
denis23 [38]
32 divided by 2 would equal 16 sunny days.
6 0
3 years ago
Line CH contains points (-2, 6) and H(5, -3) What is the slope of G?
Xelga [282]

Answer:

The slope of line G is \dfrac{- 9}{7}  .

Step-by-step explanation:

Given as :

The points of the line CH contains

C = x_1 ,  y_1 = - 2 , 6

H = x_2 ,  y_2 = 5 , -3

Let The slop of line CH = G

<u>Now, slope of line is </u>

G = \dfrac{y_2 - y_1}{x_2-x_1}

i.e G = \dfrac{- 3 - 6}{5 -(-2)}

Or, G = \dfrac{- 9}{5 +2}

Or,G = \dfrac{- 9}{7}

So, The slope of the line CH = G = \dfrac{- 9}{7}

Hence, The slope of line G is \dfrac{- 9}{7}  . Answer

4 0
3 years ago
Find the length of AC
aleksandr82 [10.1K]

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

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A)

Here,

A to B = 13

A to C = 26

total = ?

now,

A to B + A to C

13 + 26 = 39

Therefore,

total number is 39

4 0
3 years ago
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