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Svet_ta [14]
3 years ago
12

153 is 0.9% of what number? Tell which equivalent ratios you used to find the solution

Mathematics
2 answers:
Sholpan [36]3 years ago
6 0

Answer:

153 is 0.9% of 17000.

We used this equivalent ratios :

\frac{153}{0.9}=\frac{x}{100}

Step-by-step explanation:

Given that 153 is 0.9% of a number, we denote this number as ''x''.

Also, we know that exists a linear relationship between the number and the percentage, and this linear relationship is a direct proportional relationship.Meaning that a higher number indicates a higher percentage and also a lower number indicates a lower percentage.

We know that the number ''x'' will be 100% of the number. Using this following equivalent ratios :

\frac{153}{0.9}=\frac{x}{100}

Solving for ''x'' :

\frac{153}{0.9}=\frac{x}{100}\\x=\frac{(153).(100)}{0.9}=17000

We find that If 153 is 0.9% of a number, the 100% of the number is x = 17000

being 17000 the number.

Naddik [55]3 years ago
3 0
0.9% / 100% = 0.009
= 9/1000

equivalent ratio:
9/1000 = 153/x

cross multiply
9x = 153,000
x = 153,000/9
x = 17,000

153/17,000 = 0.009
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- 3 + 3x = 2x – 13 <br><br> I have to use more characters...
DENIUS [597]

- 3 + 3x = 2x – 13

Bring -3 to the right side of the equation by adding 3 to both sides

(- 3 + 3) + 3x = 2x – 13 + 3

0 + 3x = 2x - 10

3x = 2x - 10

Bring 2x to the other side by subtracting 2x to both sides

3x - 2x = 2x - 2x - 10

x = -10

Check:

-3 + 3(-10) = 2(-10) - 13

-3 + (-30) = -20 - 13

-33 = -33

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
2 years ago
Help pls look at the picture
Alika [10]

Answer:

Option A: -\frac{4}{3} is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = \frac{3}{4}

Let,

m be the slope of the line perpendicular to the line with slope \frac{3}{4}

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

\frac{3}{4}.m=-1\\

Multiplying both sides by \frac{4}{3}

\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\

m = -\frac{4}{3}

-\frac{4}{3} is the slope of the line perpendicular to the line having slope \frac{3}{4}

Hence,

Option A: -\frac{4}{3} is the correct answer.

3 0
3 years ago
a fall dance sold 18 tickets during the first day of sales. this was 25% of the total sales. how many tickets were sold to the f
alexandr402 [8]

Answer:

72

Step-by-step explanation:

I have a weird way of doing it

so if 18 is 25%

18+18=36

then 36 would be 50%

36+36=72

so then 72 would be 100%

72*.25=18

6 0
3 years ago
Read 2 more answers
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Answer It With Solution!
Leya [2.2K]

The correct answer is 2.8 liters

Explanation:

The volume of the water in the bottle can be calculated by subtracting 3.5 liters from the volume of water the pail can hold (6.3 liters) because the volume in the bottle is 3.5 liters less than the one in the pail. Below, you can find the process.

volume in the pail - 3.5 liters = volume in the bottle

6.3 liters - 3.5 liters = 2.8 liters

This means the volume of water in the bottle is 2.8 liters. Also, you can double-check this answer by adding the volume in the bottle and the 3.5 liters (2.8 + 3.5 = 6.3).

6 0
2 years ago
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