14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?

Answer:

[tex] \frac{2}{x - 3} - \frac{12}{ {x}^{2} - 9} \\ = \frac{2}{x - 3} - \frac{12}{(x - 3)(x + 3)} \\ = \frac{2(x + 3) - 12}{( {x}^{2} - 9)} \\ = \frac{2x - 6}{( {x}^{2} - 9)} \\ = \frac{2(x - 3)}{(x - 3)(x + 3)} \\ = \frac{2}{x + 3} [/tex]

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6

Answer:

4 minutes

Step-by-step explanation:

I will use ratios for this equation:

[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]

It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.

Answer:

x = 3

Step-by-step explanation:

5(5 + 19) = 6(6 + 4x + 2)

5(24) = 36 + 24x + 12

120 = 48 + 24x

72 = 24x

x = 3

Answer:

For number one the answer is A and the second answer is A too.

Step-by-step explanation:

Answer: Building your house next to a river and Beach restoration by pumping sand from the ocean (While this does not prevent erosion, it can reduce storm damage to coastal development & infrastructure.)

Step-by-step explanation:

Answer:

the variable

Step-by-step explanation:

m is the variable

Answer:

[tex]m = \frac{5}{2} [/tex]

Step-by-step explanation:

Here are the laws which would be used in this question:

Indices:

• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]

• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]

Logarithm

• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]

[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]

[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]

[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]

[tex] = \frac{5}{2} log_{m}(2) [/tex]

Answer: K

Step-by-step explanation:

Ill do it

Answer:

y<-12

Step-by-step explanation:

-3y>36 divide both sides of the inequality by -3 and flip the inequality sign

-3y÷(-3)<36÷(-3) any expression divided by itself equals 1

y<36÷(-3) which equals to y<-12

Answer:

See explanation

Step-by-step explanation:

Reflecting over the y axis does not change the Y value. It multiplies the x value by -1.

So (-1,11) is (1,11)

And (-3,-9) would become (3,-9)

And (2,-7) would become (-2,-7)

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

Answer:

Darnell can run 1100 yards in 6 minutes

Step-by-step explanation:

There are 2 ways you can solve this

Method 1: You would have to divide 550 by 3 which you would get about 183, (the exact answer is very long so I recommend using a calculator). Then you multiply that by 6 to get 1100.

Method 2: This one would probably be easier. Since 3 x 2 is 6 then you can multiply 550 x 2 to get 1100.

I hope this helps!

Answer:

1100 yards

Step-by-step explanation:

Write it as an equation

550/3 = x/6

Cross multiply :

550 * 6 = 3x

3300 = 3x

x = 1100

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

180

Step-by-step explanation: You could of looked it up I did

Answer:

$289 I think

Step-by-step explanation:

$289 I think

sorry if I am wrong

Answer:

Carole's situation :   2x + 11y = 196

Michele's situation:  10x + 11y = 276

Step-by-step explanation:

If x = cost of 1 cupcake, then 2x = cost of 2 cupcakes and 10x = cost of 10 cupcakes, et.

If y = cost of 1 sugar cookie, then 11y = cost of 11 sugar cookies.

Carole's situation :   2x + 11y = 196

Michele's situation:  10x + 11y = 276

Answer:

Simplified it would be 11x^2y^2 - 4xy^

Answer:

11x²y³ - 4xy²

Step-by-step explanation:

is the answer if simplified.

Answer:

6/8     or  1/8       1/8        1/8         1/8             1/8             1/8    

Step-by-step explanation:

6/8 simplified is 6/2=3 8/2=4 so it is 3/4

Answer:

y = 5

Step-by-step explanation:

Equation:

m<DGF = m<DGE + m<EGF

Given:

m<DGF = 12y - 5

m<DGE = 5y + 6

m<EGF = 24

Work:

m<DGF = m<DGE + m<EGF

12y - 5 = 5y + 6 + 24

12y - 5 = 5y + 30

12y - 5y = 30 + 5

7y = 35

y = 5

Answer: It's 92.3521 Hope that helps Goodbye!

Step-by-step explanation: 3.1×3.1= 9.61× 3.1= 29.791 ×3.1 = 92.3521 because it's the power to 4 3.1×3.1×3.1×3.1 so that telling you to multiply 3.1 four times. Can you please make me Brainliest

Answer:

each car have 4 tires, so 24/4=6

there are 6 cars

Answer:

32

Step-by-step explanation:

15+17=32

...........

Answer:

32

Explanation:

All you have to do it add 17 to 15, since the aunt is 17 more years older than kiran.

Answer:

y + 4 = 3(x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 5, - 4) , then

y - (- 4) = 3(x - (- 5) ) , that is

y + 4 = 3(x + 5)

Hi there! The point-slope is shown in the picture.

Both x1 and y1 are the ordered pairs or coordinate points. Not to be confused with the x and y, they are just for to form an equation of a line.

As we know, m is defined as slope.

What we have now are:

Substitute the value of the point and slope in the equation.

[tex] \large{y - ( - 4) = 3(x - ( - 5))} \\ \large{y + 4 = 3(x + 5)}[/tex]

Answer

Step-by-step explanation:

9x-4+6x+4=180 ( being straight angle)

15x=180

x=180/15

x=12

I hope it help you

Answer:

where is the diagram?

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

Answer:

12 units

Step-by-step explanation:

AB = 3 units

BC = 5 units

CA = 4 units

Perimeter of triangle,

→ AB + BC + CA

→ 3 + 5 + 4

→ 12 units is the answer.

Answer:

5, 240

Step-by-step explanation:

Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.

Pythagorean Theorem: a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

c = 8.06

Hope this helps!! :)

Answer:

8.06

Step-by-step explanation:

Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.

First you need to square a and b, like in the formula:

[tex]4^{2}[/tex] = 16

[tex]7^{2}[/tex] = 49

Now you add these together to find [tex]c^{2}[/tex]:

16 + 49 = 65

So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:

[tex]\sqrt{65}[/tex] = 8.0622577...

So its approximately 8, and more accurately 8.06