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vladimir1956 [14]
3 years ago
6

Please could someone help with this ? Thankyou

Mathematics
2 answers:
katovenus [111]3 years ago
4 0

Answer:

1 2/7

Step-by-step explanation:

4.5:3 1/2

45/10 ÷ 7/2

45/10 x 2/7

90/70=9/7

=1 2/7

murzikaleks [220]3 years ago
4 0

Answer:

four point five is to three point five

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marishachu [46]
The answer is 1.8 :)
6 0
3 years ago
Graph the equation 4x−4y=12 using the intercepts.
Verdich [7]
X-intercept: (3,0)
Y-intercept: (0,-3)

3 0
3 years ago
How do I do question 9? Please give answer thank you
kvasek [131]
<h3>Given</h3>
  • a cone of height 0.4 m and diameter 0.3 m
  • filling at the rate 0.004 m³/s
  • fill height of 0.2 m at the time of interest
<h3>Find</h3>
  • the rate of change of fill height at the time of interest
<h3>Solution</h3>

The cone is filled to half its depth at the time of interest, so the surface area of the filled portion will be (1/2)² times the surface area of the top of the cone. The filled portion has an area of

... A = (1/4)(π/4)d² = (π/16)(0.3 m)² = 0.09π/16 m²

This area multiplied by the rate of change of fill height (dh/dt) will give the rate of change of volume.

... (0.09π/16 m²)×dh/dt = dV/dt = 0.004 m³/s

Dividing by the coefficient of dh/dt, we get

... dh/dt = 0.004·16/(0.09π) m/s

... dh/dt = 32/(45π) m/s ≈ 0.22635 m/s

_____

You can also write an equation for the filled volume in terms of the filled height, then differentiate and solve for dh/dt. When you do, you find the relation between rates of change of height and area are as described above. We have taken a "shortcut" based on the knowledge gained from solving it this way. (No arithmetic operations are saved. We only avoid the process of taking the derivative.)

Note that the cone dimensions mean the radius is 3/8 of the height.

V = (1/3)πr²h = (1/3)π(3/8·h)²·h = 3π/64·h³

dV/dt = 9π/64·h²·dh/dt

.004 = 9π/64·0.2²·dh/dt . . . substitute the given values

dh/dt = .004·64/(.04·9·π) = 32/(45π)

7 0
3 years ago
There are 27 students in a class. There are 5 less girls than boys. Let x = the number of boys and y = the number of girls. How
vredina [299]

Answer:

Step-by-step explanation:

x + y = 27

We know that there are 5 less girls that boys, so:

x + (x-5) = 27

x + x - 5 = 27

Solve for x:

2x - 5 = 27

2x = 32

x = 16 boys

y = 11 girls

tell me if you see anything wrong

4 0
3 years ago
Please help with this question! i will mark you brainliest!
IrinaK [193]

Step-by-step explanation:

3) y=4x-2

since x is already 3, simply substitute

y= 4(3)-2

y=12-2

y=10

second pair for number 3 is 10

4) y=16+7x

since y is already 37, simply substitute

37=16+7x

37-16=7x

21=7x

x=21/7

x=3

second pair for number 4 is 3

4 0
3 years ago
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