What is the solution to the system of equations? 6x-2y=10 and y=3x-5

Six students in Mrs. Lola’s class like strawberry pie; this represents 30% of the total class.

natta225 [31]

Answer: Total class = 20 students

Step-by-step explanation: 30/6 = 5, which means that 1 student would make up 5 percent of the class.

100/5 = 20, which represents the total amount of students in that classroom because 5*20 is 100 and 5 percent represents 1 person of the class

6 0

3 years ago

One scientific team determened that the avrage thickness of a chickens egg shell is 0.311 millimeters

rosijanka [135]

Answer:

As we can see the average for the thickness of a chickens egg shell is 0.311 mm and if we want to round this number to the nearest tenth we just need to see the second decimal place and round to one decimal place.

This second decimal place for this number is 1 and this number is $\leq 5$ so then if we round to the nesrest tenth we will get:

$0.3 mm$

Step-by-step explanation:

We use the following info in order to complete the qeustion:

Round the thickness of the shell to the nearest tenth.

0.3

0.5

0.92

9

As we can see the average for the thickness of a chickens egg shell is 0.311 mm and if we want to round this number to the nearest tenth we just need to see the second decimal place and round to one decimal place.

This second decimal place for this number is 1 and this number is $\leq 5$ so then if we round to the nesrest tenth we will get:

$0.3 mm$

7 0

3 years ago

For the function G defined by G(x)=5x+3, find G(r+5).

ycow [4]

Answer:

8x+5

Step-by-step explanation:

any letter will mean 1

4 0

3 years ago

Read 2 more answers

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

Estimate 17.5 times 8.4

aniked [119]

Answer:

147/150

Step-by-step explanation:

7 0

3 years ago