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3 years ago

Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

10*0.25=2.5
2.5/10*100=25 lbs
25-10=15 lbs
Nina need to add 15 lbs of water

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

I know its summer and everyone done with school but someone help

Gemiola [76]

Answer:

1.55

Step-by-step explanation:

3750+900 = 4650

4650/3000 = 1.55

7 0

3 years ago

Read 2 more answers

Which of the following expressions is correct? Select one: a. marginal cost = (change in quantity of output)/(change in total co

Natasha_Volkova [10]

Answer:

b. average total cost = total cost/quantity of output

Step-by-step explanation:

The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:

Marginal cost = change in total cost/ change in quantity

The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:

Average total cost = total cost / quantity of output

The total cost is obtained adding together the fixed costs and the variable costs, its formula is:

Total cost = fixed cost + variable cost

The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:

Average variable = variable cost / quantity of output

I hope you find this information useful and interesting! Good luck!

3 0

3 years ago

Angle Measurements

Naddik [55]

Answer:

X = 11

Complementary angles

Step-by-step explanation:

Complementary angles are when two angles add up to 90 degrees.

3x + 10 + 47 = 90

3x + 10 = 43

3x = 33

x = 11

4 0

3 years ago

The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

2 years ago