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3 years ago

5

What is the sum of 1/9, 2/3, and 5/18? A. 12/9 B.19/18 C.8/30 D.4/15

1 answer:

KiRa [710]3 years ago

5 0

The correct answer ir B.19/18

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Laura received a box of chocolates for her birthday. The chocolates in the box have five different fillings. The table below sho

Kitty [74]

In this question we are asked to find the ratio of the number of chocolates which Lauren liked and the total of chocolates.

We know she doesn't like coconut and toffee, so she likes caramel, mint and cherry. When we count the ones she liked, we got $16+12+14=42$ .

When we add to find how many chocolates are there, we got $16+10+12+14+8=60$ .

To find the ratio we need to divide the first one and the second one: $\frac{42}{60} = \frac{7}{10} = 0.7$ is our probability.

7 0

3 years ago

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

You have 17 coins. They are pennies and quarters. They amount to $3.53. Write and solve a syste of equations to determine how ma

Vlada [557]

You will only get 5 million dollors so eat my D***

8 0

3 years ago

The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of t

RideAnS [48]

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

5 0

3 years ago

What is the best approximation for the area of this circle?

Svetradugi [14.3K]

Area of circle = πr² = 3.14×4² = 50.24m²

The best approximation is C.

6 0

4 years ago

Read 2 more answers