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hammer [34]
3 years ago
9

7y - 2y + 8 = 19 + 4y

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0

7y - 2y + 8 = 19 + 4y

7y - 2y - 4y = 19 - 8

1y = 19 - 8

1y = 11

Ans is y = 11
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An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
Factorise -75ab² - 15ac
krok68 [10]

Answer:

9) 51 × 10⁻⁵ = 0.00051

10) Cash price = #54,000 × (1 - 0.125) = #47,250

11) -40·p·q÷(-2)² = -10·p·q

12) 0.003 × 0.045 = 1.35 × 10⁻⁴

13) N40°W = 320°

14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm

15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²

16) 636,000 = 6.36 × 10⁵

17) 1/3·π·r²·h₁ = π·r²·h₂

h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3

h₂/12 =  1/3

h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm

18) The angle = 180 + 45 = 225°

19) The total surface area = 22/7×14²/4 +  22/7 ×14 × 20 = 1034 cm²

20) The number is 58/2 = 29.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Explain the distance formula. Then use it to calculate the distance between A(1,1) and B (7,-7)
crimeas [40]

The distance formula is given by:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

d=\sqrt{(7-1)^{2}+(-7-1)^{2} }

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

4 0
3 years ago
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A shelf measures 720 mm long.
snow_lady [41]
A how many centimeters long is the shelf
3 0
3 years ago
Read 2 more answers
Solve for t. t + 19 = 45) it will give u 29 points if u help me!
Oksi-84 [34.3K]

Hi there!

<u><em>Answer:</em></u>

<u><em>t=26</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

Step-by-step explanation:

First, you subtract by 19 from both sides of an equation.

t+19-19=45-19

Then, you subtract by the numbers from left too right.

45-19=26

<u><em>Final answer is t=26</em></u>

I hope this helps you!

Have a nice day! :)

-Charlie

:D

8 0
3 years ago
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