Laura makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.

Answer:

1.41

Step-by-step explanation:

The maximum walking speed S, in feet per second, of an animal can be modeled by the equation S= √(gL), where g = 32ft/sec² and L is the length, in feet, of the animal's leg. To the nearest hundredth, how many times greater is the maximum walking speed of a giraffe with a leg of 6 feet than a hippopotamus with a leg of 3 feet?

Step 1: Calculate the maximum walking speed of a giraffe

The leg of a giraffe measures L = 6 ft.

Sg= √(g × Lg)

Sg= √(32 ft/s² × 6 ft) = 13.86 ft/s

Step 2: Calculate the maximum walking speed of a hippopotamus

The leg of a hippopotamus measures L = 3 ft.

Sh= √(g × Lh)

Sh= √(32 ft/s² × 3 ft) = 9.80 ft/s

Step 3: Determine how many times greater is the maximum walking speed of a giraffe than a hippopotamus

We will make the ratio Sg/Sh

Sg/Sh = (13.86 ft/s)/(9.80 ft/s) = 1.41

The maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The leg of a giraffe measures L = 6 ft.

S(g)= √(g×L)

S(g) = √(32 ft/s² × 6 ft)

S(g) = 13.86 ft/s

The maximum walking speed of a hippopotamus:

The leg of a hippopotamus measures L = 3 ft.

S(h)= √(g×L)

S(h) = √(32 ft/s² × 3 ft)

S(h) = 9.80 ft/s

The ratio S(g) to S(h)

S(g)/S(h) = 13.86/9.80 = 1.41

S(g) = 1.41S(h)

Thus, the maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

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Answer:

17) m = 35; n = 110

18) b = 90; c = 80; d = 100

Step-by-step explanation:

17)

2m = 70

m = 35

n + 70 + 70 + n = 360

2n + 140 = 360

2n = 220

n = 110

18)

b - 10 + b + 10 = 180

2b = 180

b = 90

b - 10 = c

90 - 10 = c

c = 80

b + 10 = d

90 + 10 = d

d = 100

Answer:

5.25 hours or 5 1/4 hours

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Total time = 4 1/2 hours or 270 mins

Total payment = $27

First we calculate the time for $1, then

So, $27 = 270 mins

$1 = 270 ÷ 27 = 10 mins

Now, we can calculate total time in $31.50 by using following formula,

Total time in $31.50 = 10 mins × 31.50

= 315 mins

= 5.25 hours or 5 1/4 hours

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

Answer:

This is the answer

Step-by-step explanation:

40/50 - 80%

13% - 0.13

1.75 - 1 3/4

155% - 1 11/20

Hope this helps

Answer:

The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.

Step-by-step explanation:

l hope and this can help you

The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99

The decimal number is given as:

0.64⁻

There are two numbers after the decimal point

So, the number of repeating digits is 2

In (a), we have the number of repeating digits to be 2.

So, the value multiplied on both sides is:

Value = 10²

Value = 100

Hence, the value multiplied on both sides of the equals sign is 100

The number is the decimal points is 64.

And the value multiplied on both sides of the equals sign is 100.

So, the fraction is:

64/(100 - 1)

This gives

64/99

Hence, the actual fraction represented by 0.64⁻ is 64/99

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Answer:

2, 100, 64/99

Step-by-step explanation:

The interquartile range of the data will be 9.1.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The table shows the blood pressures of 16 clinic patients.

Now,

Since, The data set is,

⇒ 81.6, 84.1, 87.6, 82.8, 82.0, 88.9, 86.7, 96.4, 84.6, 104.9, 90.8, 94.0, 69.4, 78.9, 75.2, 91.0

Arrange in ascending order as;

⇒ 69.4, 75.2, 78.9, 81.6, 82.0, 82.8, 84.1, 84.6, 86.7, 87.6, 88.9, 90.8, 91.0, 94.0, 96.4, 104.9

Clearly, There are 16 clinic patients.

Hence, The lower quartile (Q₁) = 81.6 + 82 / 2

                                               = 81.8

And, The Upper quartile (Q₃) = 90.8 + 91 / 2

                                             = 90.9

Thus, The interquartile range of the data = Q₃ - Q₁

                                                               = 90.9 - 81.8

                                                               = 9.1

Therefore, The interquartile range of the data = 9.1

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Answer:

B) 0=(2x+3)(x-1)

Step-by-step explanation:

factor the equation f(x) = 2x² + x - 3

=> f(x) = (2x + 3)(x - 1)

Option B is correct.

A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.

According to the given question

we have a function

[tex]f(x)=2x^{2} +x-3[/tex]

[tex]f(x)=2x^{2} + 3x-2x-3[/tex]

[tex]f(x)=2x^{2} -2x+3x-3[/tex]

[tex]f(x)=2x(x-1)+3(x-1)[/tex]

[tex]f(x)=(2x+3)(x-1)[/tex]

for finding the zeros of f(x), substitute f(x)=0

[tex](2x+3)(x-1)=0\\[/tex]

⇒ x=[tex]\frac{-3}{2}[/tex] and x=1

Hence, option B is used for finding the zeros of the given function f(x).

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The required measure of angle value of the m2 is 48°.

Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.

The angle can be defined as the one line inclined over another line.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

m1 + m2 = 90
42 + m2 = 90
m2 = 48°

Thus, the required value of the m2 is 48°.

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Answer:

8x+6y

Step-by-step explanation:

add the coefficients of like terms with the same variable

Answer and Step-by-step explanation:

First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.

x < -6

Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.

#teamtrees #PAW (Plant And Water)

logarithmic form and although the equations will look different, the equations ... To discuss what a logarithm is, we need to take a look at an exponential function. ... If b > 1, then the graph created will be exponential growth. ... To learn how to change an equation from exponential form to logarithmic form, let's look at a specific.

Answer:

-4 x 3/2

Step-by-step explanation:

It will end up being -6 which is less than -4.

Tell me if it is wrong.

Have a nice day!

Answer:

We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.

-4 x  [tex]\frac{3}{2}[/tex]  = -6

So, the answer is less than -4.

Please give Brainliest!

Have a great day!

Answer:

83/5

Step-by-step explanation:

83/5 would be equivalent to 16 3/4.

Answer:

8, or B on Edge.

Just took the quiz. Have a great day

Answer:

(4,8)

Step-by-step explanation:

1=8-8 no

5=12-8 no

8=16-8 YES

10=20-8 no

Answer:

I have that same problem!

Step-by-step explanation:

Answer:

please where is the diagram

Answer:

100

Step-by-step explanation:

Give me Brainllest

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

Answer:

It is not rational

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

Answer:

2x+8

Step-by-step explanation:

Answer:

[tex]4x^{2} +2x[/tex]

Step-by-step explanation:

I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.

So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.

Answer:

Step-by-step explanation:

Answer:

60 ?

Step-by-step explanation:

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

The interest will be $560

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Answer:

Answers

Selecting a green marble on the second

draw if the first marble is blue.

Answer:

Selecting a white marble on the first

draw and red marble on the second

draw.

Answer:

Selecting a red marbles on both draws.

Answer:

Selecting a red or white on the first

draw and green or blue on the second

draw.

Answer:  

Selecting a white marble on the first

draw and a white or blue on the second

draw.

Step-by-step explanation: