P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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Answer:

5:7

Step-by-step explanation:

A pet store has two types of betta fish which is red and blue

She noticed that 7 out of the 12 beta fishes are red

This means that there are 7 red beta fishes and 5 blue betta fishes

Therefore the ratio of blue betta fish to red betta fish is

= 5:7

Answer:

Step-by-step explanation:

2

Answer:

Serena earns $7.50 per hour more than Gabe

Step-by-step explanation:

Given

Serena:

[tex]m = 21h[/tex]

Gabe

Earnings: $13.50 per hour  ----- Missing Part of equation

Required

How much more does Serena earn per hour

For Serena

[tex]m = 21h[/tex] implies that She earns $21 per hour

So, to determine how much more She earns, we simply calculate the difference.

[tex]Difference = \$21 - \$13.50[/tex] (per hour)

[tex]Difference = \$7.50[/tex] (per hour)

The difference implies that Serena earns $7.50 per hour more than Gabe

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360  (or 5/18 × 37.7)

The arc is 10.5 m

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

Answer:

5  7/24

Step-by-step explanation:

Answer:

5.29

Step-by-step explanation:

Answer: 64 fluid ounces

Step-by-step explanation:

Amount of water in the container = 128 fluid ounces

Amount drank by Toya every hour = 8 fluid ounces

For 8 hours, Toya would have drank:

= 8 × 8 fluid ounces

= 64 fluid ounces

To calculate the amount of fluid ounces

thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:

= 128 fluid ounces - 64 fluid ounces

= 64 fluid ounces

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

Answer:

I believe it is -94m-2n

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

The value of the variable 'x' will be 8.5. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

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Answer: x=10 y=5 = 15xy

Step-by-step explanation:

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

Answer:

corresponding angles

Alternate angle

cointerior angle

Answer:

10x⁵ + 8x⁴

Step-by-step explanation:

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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Luis' speed in miles per hour is 136.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

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Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Answer:

y=mx+b is slope-intercept form

where m is the slop, and b is the y intercept

if m is the slop then we can plug that into the equation

y=2x+b

next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.

y=2x+0

eliminate the 0

y=2x is your equation

Step-by-step explanation: