Janet and Bill leave their home at the same time, Janet has 60 miles to travel and drives at 40 mph. Bill has 80 miles to travel and also drives at 40 mph.
a) How long does Janet's journey take?
b) How much longer does Bill spend driving than Janet?

Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.

The number of hours she worked to earn $146.25 is,

The Number of hours = ($146.25)/($11.25) = 13 hours

Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.

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Answer:

I would be a right angle or 90°

Explanation:

If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.

hope i helped :)

Answer:

16

Step-by-step explanation:

50-50 chance for each

2x2x2x2=16

The statement third “by highlighting one of the benefits that comes from reading” is correct.

Reading is a thinking process that entails interpreting words in deriving information.

We have statements about the importance of reading:

According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.

Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.

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Answer:

C

Step-by-step explanation:

The height of the triangular pyramid will be equal to H=12 feet.

A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.

It is given that:-

The Volume of the pyramid=80 cubic meters

The Base area of the pyramid=20 square meters

The height of the pyramid=?

We know that the volume of a pyramid is given as:-

V=(1÷3)x Base area x height

V=(1÷3)x20 x H

H=(80x30)÷20

H=12 feet

Hence the height of the triangular pyramid will be equal to H=12 feet.

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Answer:

9π cm

Step-by-step explanation:

Given diameter of circle (d) = 6cm

radius (r) = d/2 = 6/2 = 3cm

Area of circle = πr²

= π × 3²

= π × 9

= 9π

The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

[tex]A=\pi\dfrac{d^2}{4}[/tex]

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

[tex]d=6[/tex]

Put this value in the above formula to find the area of the circle as,

[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

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Answer:

nCr = 14!/3!11! =364

Step-by-step explanation

Answers:

P(A) = 1/6

P(B) = 5/6

=========================================================

Explanation:

Let's calculate P(A).

Refer to the dice chart below.

We have

There are 3+2+1 = 6 sums that are greater than 9.

This is out of 6*6 = 36 sums total

P(A) = 6/36 = (1*6)/(6*6) = 1/6

----------------------

Now to calculate P(B).

The multiples of 6 in the table are: 6, 12

There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6

P(B) = 30/36 = (5*6)/(6*6) = 5/6

Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

Step-by-step explanation:

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

Hence the answer is 61....

The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

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Answer:

if this is 4.88/16 then the answer is 0.305.

Answer:

6.228

Step-by-step explanation:

The series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is C. reflection, translation.

It should be noted that transformation simply means the movement of object in a coordinate plane.

The common type of transformation in mathematics include translation, rotation, reflection, and dilation.

Here, the series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is reflection, and translation. Reflection is flipping the pre image and producing the mirror image while translation is movement of the pre image

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Answer:

A

Step-by-step explanation:

Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

Answer:

Answer:

step 1. 6x2=12 first place way

step 2. 12×2=24

step 3. 24+6=30 second place way

Answer:

7 × 10^9 (that 9 is a exponent)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

IT IS B OK LETS GO YES

Answer:

The answer is D I hope this helps

The required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

Given that,
A graph of a function is shown that has 3 distinct functions for its domain, we have to determine which of these 3 functions shows an exponential function.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Since, as we can see throughout the graph the graph constantly decreases to -4 and then shows a parabolic function from -4 to 0.9 afterward it starts increasing exponentially.

Thus, the required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

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Answer:

m = 60

Step-by-step explanation:

log is another way to write an exponent.

Example:

exponent form:

7^2 = 49

log form:

log_7 (49) = 2



In your question, we need to change to exponent form, from log form.

log_5 (2m+5)=3

5 is the base. 3 is the exponent.

Now it can be solved.

5^3 = 2m+5

125 = 2m + 5

120 = 2m

60 = m