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3 years ago

Can someone help asap!!:)

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

9514 1404 393

Answer:

5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

2x +3(x+10) = 55

5x +30 = 55

5x = 25

x = 5

The two numbers are 5 and 15.

Check

2·5 + 3·15 = 10 +45 = 55

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If you measure a tds of 1.4%, and you used a brew ratio of 15, what is the percent extraction?

sweet-ann [11.9K]

Answer: the extraction is 18.2%.

Explanation:

Let's see few definitions:
TDS = Total Dissolved Solids = solids dissolved in the brew
PE = Percent Extraction = percent of solids extracted from the dry coffee grounds

The percent extraction can be calculated by the formula:
PE = TDS × Rm

where
Rm = ratio between the mass of the brew and the mass of dry grounds

Now, you need to consider the following facts:
1) every 1g of coffee absorbs 2g of water
2) the given brew ratio is 1:15, which means that for every 1g of grounds we use 15g of water

Let's call
x = grams of coffee grounds we want to use
Therefore the mass of the brew will be:
m(brew) = water we use - water absorbed by the coffee
= 15·x - 2·x
= 13·x

Therefore,
Rm = m(brew) / x
= 13·x / x
= 13

Hence, the percent of extraction will be:
PE = TDS × Rm
= 1.4 × 13
= 18.2

4 0

3 years ago

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).

gtnhenbr [62]

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is $A=\pi r^{2}$ . Pi is about 3.14, and radius ( $r$ ) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

$\pi$ x $3^{2}$ ≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

3 0

3 years ago

Read 2 more answers

How do you take the antiderivative of (sinxcosx)^2?

gtnhenbr [62]

∫(sinx cosx)^2dx = ∫(1/2sin 2x)^2 dx = 1/4∫sin^2 2x dx = 1/4∫1/2(1 - cos 4x)dx = 1/8∫(1 - cos 4x) dx = 1/8[x - sin 4x / 4] + c = 1/32(4x - sin 4x) + c

8 0

3 years ago

A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Whic

Rudiy27

Answer:

A. {(1, 6.7), (2, 6.4), (3, 6.1)}

Step-by-step explanation:

The watering can dispenses water at a rate of 0.3 gallon per minute and the original volume of water in the can was 7 gallons.

Let y represent the volume of water in the can in gallons

Let x represent time in minutes

f(x) = y = 7 – 0.3(x)

When x = 1,

y = 7 – 0.3(1)

= 7 – 0.3

= 6.7

The pair will be (1, 6.7)

When x = 2,

y = 7 – 0.3(2)

= 7 – 0.6

= 6.4

The pair will be (2, 6.4)

When x = 3,

y = 7 – 0.3(3)

= 7 – 0.9

= 6.1

The pair will be (3, 6.1)

The set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water is {(1, 6.7), (2, 6.4), (3, 6.1)}

4 0

3 years ago

Henry has 2 accounts with a credit limit of $6000. He has $500 in monthly debts, including a $200 car payment. He has never made

Volgvan

I think it's D as an answer but I could be wrong

8 0

3 years ago