All categories

3 years ago

What is the answer to 7/8-(-1/10)+(-3/5)

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

Answer:

3/8

Step-by-step explanation:

Find and apply the LCD. In this case we have the three denominators 8, 10 and 5, which in factored form are 2(4), 2(5) and 1(5). The factors that make up the LCD are 2, 4 and 5, or 40. Note that 8, 10 and 5 all divide evenly into 40.

So our expression, 7/8-(-1/10)+(-3/5), can be rewritten as:

35/40 + 4/40 - 24/40, which simplifies first to 39/40 - 24/40, and then to:

15/40.

This 15/40 reduces to 3/8.

You might be interested in

If point OR=20 and PR=5, would OP=15?

mina [271]

Answer:

Step-by-step explanation:

If OR = 20,

PR = 5

<u><em>OP would be</em></u>:

=> 20+5

=> 25

3 0

3 years ago

How do I do this problem?

anyanavicka [17]

That's D. n² ÷ 5 because it says the division of n squared and 5.

7 0

3 years ago

Can someone help me with these questions, don’t mind the answers written already

Rina8888 [55]

Answer:

a) x value is -2, min is -3(if thats y)

b) x value is 3, max is 21(if thats y)

Step-by-step explanation:

yes you do quadratic formula and such :)

8 0

2 years ago

An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of

Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = $\pi r^{2} \frac{h}{3}$

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

$r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm$

We will now find the volume of the cone.

Volume of cone $\pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}$

We know the density of ice is 0.93 grams per $1cm^{3}$

$1cm^{3} =0.93g\\\frac{168175\pi }{24} cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g$ (Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = $\pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}$

Volume of cone being melted = New Volume - Original volume

= $\frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}$

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = $\pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}$

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = $5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}$

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= $\frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}$

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0

2 years ago

An airplane is at an elevation of 4,280 ft. It ascends 600 ft. and later descends 1,500 ft. What is its final elevation?

Iteru [2.4K]

3380 Feet is the final elavation

4 0

3 years ago

Read 2 more answers