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2 years ago

What is the magnitude (size) of -8.5

Mathematics

1 answer:

uysha [10]2 years ago

6 0

Answer:

8.5, because [-8.5] = 8.5

Step-by-step explanation:

A pex

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The ratio of the volume of fruit juice to the volume of smoothies served at a party was 4.5 to 2.4. There were 35 liters more fr

Harrizon [31]

The volume of the smoothies served is 18.67 liters.

Given:
volume of fruit juice = 35 liters
ratio of fruit juice to smoothies = 4.5 to 2.4

Proportion: a:b = c:d where ad = bc
a = 4.5 ; b = 2.4 ; c = 35 ; d = x

4.5 to 2.4 = 35 to x

4.5x = 35 * 2.4
4.5x = 84
4.5x/4.5 = 84/4.5
x = 18.67 volume of smoothies.

to check:
4.5(18.67) = 35*2.4
84.015 = 84

3 0

2 years ago

Alice's average mark for 4 Science exams is 68%. Can Alice score enough marks in a fifth exam so that her average mark increases

Keith_Richards [23]

Answer:

It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.

Step-by-step explanation:

She scored an average 68% in all 4 exams.

This means; (68% + 68% + 68% + 68%)/4

Now, a fifth exam is added and we want to know if her average can now be 75%.

Thus, let the score in the 5th exam be x and we now have;

(68% + 68% + 68% + 68% + x)/5 = 75%

Multiply both sides by 5 to get;

(68% + 68% + 68% + 68% + x) = 375%

272% + x = 375%

x = 375% - 272%

x = 103%

The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%

7 0

2 years ago

A circular plate has circumference 32 inches. What is the area of this plate? Use 3.14 for pi. The area of this plate is about

Novosadov [1.4K]

Answer:

A = 82.53 in²

Step-by-step explanation:

We use the circumference equation C = 2πr and the area equation A = πr².

Using the first equation and the given circumference (32 in), we find the radius of the circle, and then use this result to find the area of the circle.

C 32 in

C = 2πr becomes r = ----------- and here r = ---------- = 5.10 in

2π 6.28

Then the area of the circle is A = πr², which here is A = 3.14(5.10 in)², which, when rounded off to two decimal places, is A = 82.53 in²

6 0

2 years ago

A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l

NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$

Hence, the value of x is 5.970.

4 0

2 years ago

Please help...................

anastassius [24]

Answer:

I would help you

Step-by-step explanation:

But I'm really lazy and I really don't like math. I'm not good at it and I think I failed it last semester. true story bro.

7 0

2 years ago

Read 2 more answers