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Based on the distance between the park bench and the basketball court, the distance between the park bench and the pond is 57¹/₈ feet

The distance between the park bench and the basketball is the sum of the distance between the park bench and the pond and the pond and the basketball court.

The distance between the park bench and the pond is therefore:

= Distance between park bench and basketball court - Distance between pond and basketball court

Solving gives:

= 75³/₄ - 18⁵/₈

= 75.75 - 18.625

= 57.125

= 57¹/₈ feet

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Answer:h

el]lo you commented on a post that helped me alot

Step-by-step explanation:

Answer:

1.If you are to check  the figure you will find that it is a rectangles. You should know the properties of a rectangle.

3x+6+(5x-4)=90°

3x+5x+6°-4°=90°

8x+2°=90°

8x=90°-2°

8x=8°

[tex]\frac{8x}{8} =\frac{88}{8} \\x=11[/tex]

2.m ∠SUT is donated by 3x+6

and now we know the value of x=11°

m∠SUT=3(11°)+6

m∠SUT=33°+6°

m∠SUT=39°

The name of all segments on the line that contain point c are AD, BD, AE, BE

The points on the number line are given as:

A, B, C, D and E

On this number line, the point either sides of point C are

A and B & D and E

This means that the point C is on the lines AD, BD, AE, BE

Hence. the name of all segments on the line that contain point c are AD, BD, AE, BE

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Answer:

27 kilometers

Step-by-step explanation

i big brain and u not

u can use a calculator lol

Answer:

13 players

Step-by-step explanation:

1353 - 943.50 = 409.50

$31.50 per player for meals

31.50*x = 409.50

x = 13

13 players

Step-by-step explanation:

ABCD is a rectangle.

so, it has 2 pairs of equal and parallel sides.

all 4 angles are 90°.

both diagonals are equally long and intersect each other at their midpoint. so, all 4 half-diagonal segments are equally long.

(1)

2x + 4y = 4x - y = 36/2 = 18 cm

we can split this into 2 equations

2x + 4y = 4x - y

5y = 2x

x = 5y/2

and e.g.

4x - y = 18

now we use the first equation in the second

4(5y/2) - y = 18

20y/2 - y = 18

10y - y = 18

9y = 18

y = 2

x = 5y/2 = 5×2/2 = 5

(2)

I cannot draw here, but the shortest distance between a point and a line is always a height (a line segment from the point meeting it intersecting the line at a right angle, 90°).

(3)

e.g.

AE, AD/2 and the drawn height from E to AD create a right-angled triangle.

we know AD/2 = 15 cm

from (1) we know AE = 4x - y = 4×5 - 2 = 20 - 2 = 18 cm.

the height E to AD we get via Pythagoras

AE² = (AD/2)² + height²

height² = AE² - (AD/2)² = 18² - 15² = 324 - 225 = 99

height = sqrt(99) = sqrt(9×11) = 3×sqrt(11)

remember trigonometry ?

this height = sin(theta) × AE

sin(theta) = height / AE = 3×sqrt(11) / 18 = sqrt(11)/6 =

= 0.552770798...

theta = 33.55730976...° ≈ 34°

(4)

the diagonals of a square bisect the angles of the square, so that theta would become 90/2 = 45°.

The average velocity is  -10 ft/s.

Average velocity is just the average speed with a direction. If a trip starts and ends at the same point, the total displacement is zero, so the average velocity is zero.

For example, someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph).

Given:

f(t) = 20t - 10t²

Now, from t=1 to t=2

f(1)= 20*1 - 10 * 1*1

f(1)= 10

and, f(2)=20*2-10*2*2

f(2)= 40-40

f(2)=0

Now,

Average velocity:

v = ( 0-10 ) / ( 2- 1 )

  = -10 ft/s

hence, the average velocity is  -10 ft/s.

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Answer:

Go to Khan Academy and Search "Finding Slope from graph"

Step-by-step explanation:

That video will help better instead of typing it!

The carnations to place in each arrangement is 6.

It should be noted that from the information, the florist makes the greatest number of identical arrangements with the carnations and asters and she has 72 carnations and 42 asters.

In order to know the carnations to place in each arrangement, this can be done by finding the common factor. This will be illustrated that the numbers have a highest common factor of 6.

Therefore, the number of carnation is 6.

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Answer:

Step-by-step explanation:

OB is perpendicular bisector of AC (since AB = BC) so triangle OBC is right triangle.

We have:

Use Pythagorean to find the missing value:

The answers will be :

A. The possible prices at flat discount of $ 20 will be $195 and at flat discount of 20% will be $218.75

B. The discount of flat 20 % gives a bigger savings in cost for the customer.

What do you mean by discount ?

The discount is the difference between the purchase price and the item's par value or simply deduction from the cost price of a good.

It is given that the final purchase price of the item is $175.

A.

Let's try to find out the possible price of item before each discount.

So , price before discount can be calculated by using formula which is :

Price before discount = Discount + Final purchase price

As in first case the flat discount is of $20 , so :

Price before discount = $20 + $ 175

Price before discount = $195

Now as per the question , there is a flat discount of 20% off the total purchase price .

So , let's assume if price before discount is P then :

[ P - ( 20P / 100) ] = 175

P - 0.2 P = 175

0.8 P = 175

or

P = $ 218.75

B.

From the above calculations which we have done , we can conclude that the discount of 20 % represents a bigger savings in cost for the customer because customer is saving an amount of $218.75 which is greater than $195.

Therefore , the answers will be :

A. The possible prices at flat discount of $ 20 will be $195 and at flat discount of 20% will be $218.75

B. The discount of flat 20 % gives a bigger savings in cost for the customer.

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Answer:

(6x+10)+(10x+10)=180

16x+20=180

16x=160

x=10

Step-by-step explanation: Due it being a supplementary angle which means 180 degrees in total.

Answer:

  10,350.98

Step-by-step explanation:

The decimal number is the sum of the terms of the expression.

  (1×10,000) +(3×100) +(5×10) +(9×1/10) +(8×1/100)

  = 10,000 +300 +50 +0.9 +0.08

  = 10,350.98

__

Additional comment

If you can't do this in your head, you can input the expression to your calculator, and it will give this same result.

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

Work Shown:

Let A = P/i = 475/0.0035417 = 134116.384787 approximately

Then,

[tex]n = \frac{\text{Ln}(A) - \text{Ln}(A-L)}{\text{Ln}(1+i)}\\\\n \approx \frac{\text{Ln}(134116.384787) - \text{Ln}(134116.384787-20000)}{\text{Ln}(1+0.00354)}\\\\n \approx \frac{11.80646 - 11.64497}{0.00353}\\\\n \approx \frac{0.16149}{0.00353}\\\\n \approx 45.74788\\\\n \approx 46[/tex]

It will take about 46 months to pay off the loan.

Divide by 12 to convert from months to years.

46 months = 46/12 = 3.83333 years approximately

That rounds to 4 years

The required midpoint of the given data is 16,  and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.

Here,
Arranging the time in minutes spent on reading a political blog in a day,
3 3 11 12 13 13 15 16 19 19 20 22 25 26 26
The required mid-point is 16.

Since the values vary from 3 to 26 and we have to make 5 classes,
So the number of
          classes     midpoint            frequency            cumulative
         0 - 5              2.5                          2                       2
         5 - 10             7.5                          0                       2
         10 - 15           12.5                         5                       7
         15  - 20         17.4                         4                       11
        20  - 25         22.5                        3                       14
        25  - 30         27.5                        2                       16

Thus, the required midpoint of the given data are shown, and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.

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Step-by-step explanation:

the y-intercept is the y value when x = 0.

the x-intercept is the x value when y = 0.

for x = 0

y = 0 / (0² - 1) = 0/-1 = 0

this automatically answers also our question about the x value when y = 0. we found this out already with the y-intercept.

the interception point with both coordinate axis is (0, 0).

She ran the distance on the day of 5 is 2miles.

Shreya did not plot the distance she ran on day 5 of her training, but you can calculate the distance she ran that day using the trend in the data she did record. Shreya ran 8 miles on day 5. Shreya ran 6 miles on day 5. Shreya ran 3 miles on day 5. Shreya ran 7 miles on day 5.

⇒ (8-6-3-7)/5

⇒ (-8)/5

⇒ 1.8

⇒ 2 miles

The fraction whose numerator is 8 minus 6 minus 3 minus 7, whose denominator is 5 which is equal to the fraction of 2 miles.

Hence, Shreya ran on the day of 5 in her training is 2 miles.

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Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $13,567

What is cash inflow from sales?

The cash inflow from sales indicates the amount of cash received from customers in the current based on sales made to customers, which is the sales revenue, cash and credit added together minus the balance of credit sales left uncollected from customers at the end of the year.

Cash inflows for Year 1=credit sales+cash sales+receivables

credit sales=$13249

cash sales=$6167

receivables= $5849

Cash inflows for Year 1=$13249+$6167-$5849

Cash inflows for Year 1=$13,567

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Full question:

Bailey Co earns$13249  of revenue on account and in $6167 cash revenue transactions in Year 1. Cash collections of receivables amount to $5849 in Year 1 with the remainder being collected in Year 2. Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $_

The student can take 5 number of lessons if they pay no more than $175

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of music lessons. The student can pay no more than $175, hence:

25x + 50 ≤ 175

x ≤ 5

The student can take 5 number of lessons if they pay no more than $175

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The slow machine did the job is 39 minutes as calculated with the help of a linear equation in one variable.

A linear equation in one variable is given by the combination of the variable with constants and coefficients such that a unique relationship is established between the terms.

Let us consider the faster machine takes x minutes the finish the job.

Hence the slower machine will take one and a half times .

∴ slower machine takes 1.5 x minutes.

Total time taken by the two machines = x + 1.5x = 2.5 x

But together the two machines will take 65 minutes to complete the job .

So now we form a linear equation with the variable x to solve for the value of x

∴ 2.5 x = 65

or, x = 65 ÷ 2.5

or, x = 26 minutes

Therefore the faster machine takes 26 minutes.

Hence the slower machine will take 1.5 x = 1.5 × 26 = 39 minutes.

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Using the z-distribution, it is found that since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

At the null hypotheses, it is tested if there is not enough evidence that the proportion is less than 0.75, that is:

[tex]H_0: p \geq 0.75[/tex]

At the alternative hypotheses, it is tested if there is enough evidence that the proportion is less than 0.75, that is:

[tex]H_1: p < 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]n = 72, \overline{p} = \frac{42}{72} = 0.5833, p = 0.75[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.5833 - 0.75}{\sqrt{\frac{0.75(0.25)}{72}}}[/tex]

z = -3.27.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -3.27, the p-value is < 0.01.

Since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

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Answer: 36 combinations

Step-by-step explanation:

Since you have 4 toppings, 3 bases and 3 sauces, you can just multiply them to get the different combos.

4 * 3 * 3

= 36

Hills region has the advantage for sheep production because when a farmer raised 2 bushels of grain, then gaze 4 sheep.

The most popular animal fiber is sheep's wool, which is often gathered by shearing. In Commonwealth nations, ovine meat is referred to as lamb when it comes from younger animals and mutton when it comes from older ones; in the United States, meat from both older and younger animals is often referred to as a lamb.

Today, sheep are still farmed for their meat and wool, as well as on occasion for their pelts, as dairy animals, or as scientific model organisms. Most of the world's populated areas engage in sheep farming, which has been a foundational activity for several civilizations.

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Answer:

5/8

Step-by-step explanation:

Get LCD of 24  and do the math

9/24 - 4/24 - 10/24

15/24

Divide top and bottom by 3

5/8

Answer:

1 1/2 yards

Step-by-step explanation:

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