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3 years ago

Help with last math question!! Will mark and star!! ⚓ (>‿◠)✌

Mathematics

2 answers:

muminat3 years ago

6 0

The answer is either B or D

Vanyuwa [196]3 years ago

4 0

The domain is simply the interval of x values...

-2<x<4

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Pierre uses 30 grams of chocolate to make

Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

3 0

3 years ago

Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What

scZoUnD [109]

Answer: 6.25 is her profit

Step-by-step explanation: cost-price= protect

2.25 - 8.50=6.25

4 0

3 years ago

Scott stood on a 42 in. high chair, then jumped into a 8 in.

Mamont248 [21]

Answer:

8-42 = -34 will be applied

4 0

2 years ago

For their wedding, Rajai and Carly received $1000. Their financial advisor laid out 4 different options for them to invest in. A

dolphi86 [110]

Answer:

Their best investment when they retire in 40 years would be option B.

Step-by-step explanation:

Ragai and Carly invest the $1000 received for their wedding for 40 years.

From the diagram,

In option A, the initial investment do not increase at a constant rate yearly.

In option B, the amount invested increase by $75 yearly.

In option C, the yearly increase does not have a steady value.

In option D, the amount invested increases by a n + consecutive odd values yearly. Where n is the increase of the previous year.

Their best investment when they retire in 40 years would be option B because it would yield the highest profit.

8 0

3 years ago

What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +

Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵ is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0

1 year ago