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3 years ago

Rosa has 3 1/2 bottles of juice. A bottle of juice contains 6 servings. How many total servings does Rosa have?

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

6×3.5=21
Rosa has 21 total servings.

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To which sets of numbers does −1/4 belong? Select each correct answer.

Pachacha [2.7K]

-1/4 will be ration because all fractions are rational

8 0

3 years ago

5<br> 8<br> y<br> Find the exact value of y.<br> y =

inn [45]

Answer:

$y=2\sqrt{10}$

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

$\frac{AD}{DB}=\frac{DB}{CD}$

By substituting values in the given ratio,

$\frac{5}{y}= \frac{y}{8}$

$y^2=8\times 5$

$y^2=40$

$y=2\sqrt{10}$

Exact value of y is $2\sqrt{10}$ .

8 0

3 years ago

Which of these is not a possible r-value?

Y_Kistochka [10]

Answer:

a. 1.75

Step-by-step explanation:

r values, or the correlation coefficient must be between -1 and 1, inclusive

-1 is a perfect negative correlation

0 is no correlation

+1 is a perfect positive correlation

1.75 is not between -1 and 1

7 0

3 years ago

Dave has 8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money wi

Lynna [10]

Answer: he will have $12720 after 15 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $8000

r = 3.1% = 3.1/100 = 0.031

n = 12 because it was compounded 12 times in a year.

t = 15 years

Therefore,

A = 8000(1 + 0.031/12)^12 × 15

A = 8000(1 + 0.00258)^180

A = 8000(1.00258)^180

A = $12720

4 0

3 years ago

You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y

Alona [7]

Answer:

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0

3 years ago