the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4

Answer:

28 miles

Step-by-step explanation:

[tex]\frac{1}{3.5}: \frac{8}{y}[/tex]

1 × y = 3.5 × 8

y = 28

The actual distance of the map is 28 miles.

Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.

Example: 2 + 3 means that 2 has been increased by 3 or that 3 has been increased by 2 times.

A map's scale is 1 inch = 3.5 miles.

If the distance on the map is 8 inches

To find actual distance:

Use multiplication operation,

8 x 3.5

= 28 miles

Therefore, the distance is 28 miles.

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Answer:

4π

Step-by-step explanation:

Answer:

720 degrees is 4pi

Step-by-step explanation:

mathematically;

1 pi is 180 degrees

x pi is 720 degrees

x * 180 = 1 * 720

x = 720/180

= 4 pi

Answer:

Circumference of given circle = 154 cm² (Approx.)

Step-by-step explanation:

In given diagram:

Diameter of given radius = 49 cm

Value of π = 3.14

Find:

Circumference of given circle

Computation:

Radius of given circle = Diameter of given radius / 2

Radius of given circle = 49 / 2

Circumference of given circle = 2πr

Circumference of given circle = 2(3.14)(49/2)

Circumference of given circle = (6.28)(49/2)

Circumference of given circle = 153.86

Circumference of given circle = 154 cm² (Approx.)

Answer: 15

Step-by-step explanation:

Answer:

$2.00

Step-by-step explanation:

For cost $4.23  cost of 1 pound apple = $1.9

For cost $5.9   cost of 1 pound apple = $1.7

For cost $7.61   cost of 1 pound apple = $1.7

For the given mixed fraction,

[tex]2\frac{1}{2}[/tex] pound

The simple faction of  it = 5/2 pound

Now dividing 5 by 2 to get decimal form,

Therefore,

5/2 pound = 2.25 pound

2.25 pound apple cost = $4.23

Hence 1 pound cost = 4.23/2.25

                                  = $1.9

For the given mixed fraction,

[tex]3\frac{1}{2}[/tex]

The simple faction of  it = 7/2

Now dividing 5 by 2 to get decimal form,

Therefore,

7/2 = 3.5

Since, cost of 3.5 pound apple = $5.9

Therefore,

1 pound apple = 5.9/3.5

                        = $1.7

For the given mixed fraction,

[tex]4\frac{1}{2}[/tex]

The simple faction of  it = 9/2

Now dividing 5 by 2 to get decimal form,

Therefore,

9/2 = 4.5

Since, cost of 4.5 pound apple = $7.61

Therefore,

1 pound apple = 7.61/4.5

                        = $1.7

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Answer:

CORRECT ME IF THERE'S WRONG!

Answer:

The correction answer is y = - 2

Step-by-step explanation:

10-5y=20

-5y=10

y=10/-5

y=-2

Answer:

2500

Step-by-step explanation:

The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Marquise has 200 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:

A(x)= - x² + 100x

The perimeter of the rectangle = 2( length + Width)

                                            200 = 2( length + Width)

                                        100 - x = L

The area of the rectangle = length × Width

                                           = x(100 - x)

                                           = (-x)²+ 100x

So,  (-x)²+ 100x where, a = -1 and b = 100

w = -100/2(-1)

w = 50

The area of the rectangle = (-x)²+ 100x

                                           = (-50)²+ 100(50)

                                          = 2500

Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

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Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

Answer:

The first term is 3 and the common difference is 4.

The nth term is:

The first term is -3 and common ratio is -3.

The nth term is:

The numerator and the denominator are both AP.

The numerator:

The nth term is:

The denominator:

The nth term is:

The nth term of the sequence is:

Answer:

x=2   y=-3

Step-by-step explanation:

We first need to isolate x to get x+2y=-4:x=-4-2y

-4-2y-2y=8

simplify:

-4-4y=8.

We can also do the same for y which is -4-4y=8:y=-3

for the x, we can now substitute it to give us:

x=-4-2(-3)

-4-2(-3)=2

x=2

So, our answers are x=2 and y=-3

Answer:

Step-by-step explanation:

x+2y=-4

x-2y=8                       Add

2x = 4                        Divide by 2

2x/2 = 4/2

x = 2

x + 2y = - 4                Substitute 2 for x

2 + 2y = - 4               Subtract 2 from both sides

2y = - 4 - 2

2y = - 6                     Divide by 2

2y/2 = - 6/2

y = - 3

Answer:

Fre.e points im guessing?

Answer:

B. Survey 1,000 people aged below 25 who read newspapers

Step-by-step explanation:

It's the youth in the community so it's obviously people below 25 and we need more responses to get a more unbiased opinion.

Answer:

is that a unit assesment?

Step-by-step explanation:

Answer: 17 miles

Step-by-step explanation:

47 - 30 = 17

Answer:

Correct graph

[tex]slope \frac{(175 - 105)}{(9 - 2)} \\ = \frac{70}{7} \\ = 10[/tex]

Incorrect graph

[tex]slope = \frac{(175 - 105)}{(8 - 2)} \\ = \frac{70}{6} \\ = 11.7[/tex]

Slopes are not the same

The slope of the correct graph is 10 and the slope of the incorrect graph is 11.7. The slopes of both graphs are different.

Slope formula =  [tex]y_{2}-y_{1} / x_{2}-x_{1}[/tex]

Writing the equation in correct graph:

Slope = 175 - 105 / 9 - 2

⇒ 70 / 7

⇒ 10

Slope of correct graph is 10.

Writing the equation in incorrect graph:

Slope = 175 - 105 / 8 - 2

⇒ 70 / 6

⇒ 11.7

Slope of incorrect graph is 11.7 .

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Answer:

B. 51.6

Step-by-step explanation:

All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...

Answer:

13.85

Step-by-step explanation:

Answer:

The null hypothesis is [tex]H_0: \mu = 6658[/tex]

Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.

The test statistic is [tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Step-by-step explanation:

A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.

At the null hypothesis, we test if they paid the same, that is:

[tex]H_0: \mu = 6658[/tex]

At the alternate hypothesis, we test if they paid more, that is:

[tex]H_a: \mu > 6658[/tex]

Test statistic:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

State the decision rule for 0.05 significance level.

Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.

So

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.

6658 is tested at the null hypothesis:

This means that [tex]\mu = 6658[/tex]

Sample mean and standard deviation:

With the given data-set:

Mean of [tex]X = 7163.6[/tex]

Standard deviation of [tex]s = 902.25[/tex]

Sample of 12:

This means that [tex]n = 12[/tex]

Compute the value of the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]

[tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Answer:

x=36

y=54

Step-by-step explanation:

tan(x) = 15/21

x=tan^-1(15/21)

x=35.537677792

x~36

To solve for y, either repeat the same process:

tan(y)=21/15

y=tan^-1(21/15)

y=54.462322208

y~=54

OR

180-90-x=y

180-90-36=54

y=54

This question is incomplete

Complete Question

A right rectangular prism with dimensions 1 5/8 inches by 1 1/2 inches by 1 3/8 inches is made up of small cubes with side lengths of 1/8 inch. How many 1/8 inch cubes make up the right rectangular prism?

a) 429

b) 858

c) 1287

d) 1716

Answer:

d) 1716 cubes

Step-by-step explanation:

Step 1

Find the volume of the rectangular the rectangular prism

Volume = Length × Width × Height

Length = 1 5/8 inches

Width = 1 1/2 inches

Height = 1 3/8 inches

Hence, Volume = 1 5/8 inches × 1 1/2 inches × 1 3/8 inches

= 13/8 inches × 3/2 inches × 11/8 inches

= 429/128 cubic inches

Step 2

We find the volume of 1 cube

Volume = (side length)³

= (1/8 Inches)³

= 1/8 × 1/8 × 1/8

=1/512 cubic inches

From the above question

The number of 1/8 inch cubes make up the right rectangular prism is calculated as:

= Volume of right rectangular prism ÷ Volume of 1 cube

(429/128)cubic inches ÷ (1/512) cubic inches

= 429/128 × 512/1

= 429 × 4

= 1716 cubes

Therefore, the number of cubes in the rectangular prism is 1716 cubes.

Answer:

256??? I think???

Answer:

a. the final cost will be $12,960

b. your monthly payment will be $216

Step-by-step explanation:

a. if the sales tax is 8%, that means that you will need to pay 8 cents for every dollar of the original cost. you can find the total cost by multiplying 1.08 (108%) by 12,000 in order to get the original price PLUS the sales tax added on. Thus, leaving you with $12,960 as the final price.

b. to find the monthly payment, you will multiply the number of years the payment is spread out over (5) by the number of months in a year (12) in order to get 60 months in total. Then divide the $12,960 by 60 in order to get a final monthly payment of $216.

Answer:

32 minutes or .5333 of an hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

the area of the square is 16 in² and the area of the circle is 12.566in² divide the two to get 0.7852 and then multipy by 100 to make a percentage

Answer:

Step-by-step explanation:

(x-4)*x=21

x can be either 7 or -3