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Margaret [11]
3 years ago
9

What is this answer?

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

b

Step-by-step explanation:

b because 1 and 2 are mentioned in the passage below

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Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will
makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0
3 years ago
Read 2 more answers
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Vladimir79 [104]

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

6 0
2 years ago
Read 2 more answers
PLS HELP DUE IN 10 MINUTES I WILL GIVE BRAINLIEST FIVE STARS AND A THANKS NO JOKE IM RLLY DESPERATE SO PLS HELPPPPPP :c IF U DID
frutty [35]

Answer:

-1/2

Step-by-step explanation:

counting down by 2 over one

6 0
2 years ago
this year cornell's class took one more than three times as many field trips as last year's class. this year, cornell's class to
Cloud [144]
If he took x trips last year
3x+1=7
3x=6
x=2
he took 2 trips last year
3 0
3 years ago
 A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat? 
zaharov [31]
We calculate 40% from 369,00 $, this is discount

40%*369=\frac{40}{100}*369= 147,60

After sale coat costs 147,60 less so:

369 -147,60=221,40 $

Now I will pay for the coat 221,40$.
3 0
3 years ago
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