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The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

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The number of balloons on each package will be 15

From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.

Therefore, the number of balloons on each package will be:

= 1860 / 124

= 15

When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:

= 2800/560

= 5

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Answer:

5.1m

Step-by-step explanation:

Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Answer:

32π

Step-by-step explanation:

The equation for the circumference of a circle is as follows:

C = 2 π r

Since r = 16:

C = 2 π (16) = 32π

Answer:

8%

Step-by-step explanation:

Let’s first determine the cost before any discount.

To do so, we first need to determine the area to be carpeted:

Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.

To find the cost before discount we need to multiply the area by the cost per square foot:

Cost Before Discount = Area × Cost per square foot

Cost Before Discount = 432 square feet × $8.14 per square foot

Cost Before Discount = $3,516.48

We can now determine the discount percentage he received:

Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)

$3,235.16 = $3,516.48 – (Discount % × $3,516.48)

To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.

We find that a discount of 8% is the correct solution.

If you instead prefer to use algebra to solve for the discount percentage, here are the steps.

We will rewrite the equation, using x to represent “Discount %”.

$3,235.16 = $3,516.48 − (x × $3,516.48)

$3,235.16 = $3,516.48 − $3,516.48x

Factoring out $3,516.48 we have:

$3,235.16 = $3,516.48(1 − x)

Note: Once you get comfortable with this type of problem you should skip straight to the step above.

Dividing both sides by $3,516.48 we have:

$3,235.16$3,516.48=1−x

0.92 = 1 − x

x = 0.08 = 8%

Answer:

262 Masks

Step-by-step explanation:

190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.

The total number of masks in Emma's collection is 262 Masks.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.

The total number of masks will be calculated as,

190×0.38=72.2

But there cannot be 0.2 masks so it becomes 72.

Total mask = 190+72

Total mask =262.

Therefore, the total number of masks in Emma's collection is 262 Masks.

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Answer:

44

Step-by-step explanation:

The mode will be a as it is the most in frequency.

Calculating 'a' by taking the mean

c=√a2+b2 I really hope this helps

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability of a high school diploma person having less than $40,000 income will be

P(HSD) = 51/78

P(HSD) = 0.6538

The probability of a Bachelor's degree person having less than $40,000 income will be

P(BD) = 24/78

P(BD) = 0.3077

The probability of a master's degree person having less than $40,000 income will be

P(MD) = 3/78

P(MD) = 0.0385

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

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Answer:

89

Step-by-step explanation:

8, 8, 12, 41, 64, 97

We can clearly see that our highest value is 97, and our lowest in 8.

b. and d.

Step-by-step explanation:

the sentence is true

Answer:

y = -3x

Step-by-step explanation:

Equation of the line going through the origin: y = mx

Substitute any point in the above equation.

Here, Chosen point( 1 ,-3)

-3 = m*1

m = -3

Equation of the line: y = -3x

Answer:

210

Step-by-step explanation:

the sample is one 15th of the total population, and thus Yosemite's 14 should be scaled back by 15

1500/100 = 15

15 * 14 = 210

Answer:

210

Step-by-step explanation:

I did the test

Answer:

-3y^2+5xy

Step-by-step explanation: Just cancel out all of the numbers with the variable "y"

Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives  polynomial  that does not contain the variable y .

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]

when added with  [tex]-3y^{2}+5xy[/tex]  

= [tex]2x^{2}+1[/tex]   (as [tex]3y^{2} -5xy[/tex] got cancelled )

that does not contain the variable y

Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives that does not contain the variable y .

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The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'

Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)

Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.

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Answer:

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

m∠DCE = (180-m∠CDE)/2

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

Then

m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2

                                = [360-(m∠CBA+m∠CDE)]/2

                                = [360 - 180]/2

                                = 90

finally,

m∠ACE= 180 - (m∠BCA + m∠DCE)

             = 180 - 90

             = 90

Answer + Step-by-step explanation:

a) GE = r = GM

Then GEO is an isosceles triangle

b) since GEO is an isosceles triangle  then :

m∠SEG = m∠GOM = measure of the arc GM (mGM)  (result 1)

On the other hand :

m∠SEG = m∠SEG = (1/2)×(mAS - mGM)  (it’s a formula)   (result 2)

Now ,we equate  (result 1) and  (result 2) :

m∠SEG = mGM  

m∠SEG = (1/2)×(mAS - mGM)

Then

mGM = (1/2)×(mAS - mGM)

c) mGM = (1/2)×(mAS - mGM)

⇔ 2mGM = mAS - mGM

⇔ 3mGM = mAS

⇔ 3m∠SEA = m∠SOA

Remember:

mGM = m∠GOM = m∠SEA

The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.

The graph below represents data that was collected by students on the number of social media posts they made the previous day.

Then the mean will be

The sum of the observation will be

Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3

Observation sum = 20

Then the mean will be

Mean = 20/8

Mean = 2.5

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Answer:

C

Step-by-step explanation:

Answer:

I think its 4.9

Step-by-step explanation:

i used a calculator

Answer:

6+33/9 ≈ 9.67

Step-by-step explanation:

first you have to divide 33 by 9 getting roughly 3.67

once you have that u add 6

roughly giving you 9.67

median = the middle number {always remember this}.

To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).

so we are given :

20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .

we rearrange in ascending order (I chose ascending order).

Soo...

13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.

so we cancel out (we cancel out left number, right number)

I mean

cancel out 13, cancel out 23

cancel out 15, cancel out 22

cancel out 15, cancel out 20 and so on.....

after that we will be left with 2 numbers which are 17 and 17.

NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)

so...

17 + 17 = 34

34/2 = 17.

the median of the set of numbers is equal to 17.

Hope this helps.

Good luck ✅.

Answer:

the answer is k=-4 hope this helps

Answer:

∠G = 53°

∠H = 90°

∠I = 37°

Step-by-step explanation:  

∠H = 90°  because it is a right angle and all right angles = 90°

The sum of all angles in a triangle = 180°

∠H + ∠G + ∠I = 180°

90° + (5x - 7)° + (3x + 1)° = 180°

5x - 7 + 3x + 1 = 90°                         Subtract 90° from both sides

8x - 6 = 90                                       Adding like terms

8x = 96                                            Adding 6 to both sides

 x = 12                                             Dividing both sides by 8

Now solve for ∠G and ∠I using 12 as the value for x

∠G = (5x - 7)°                 ∠I = (3x + 1)°

∠G = 5·12 - 7                  ∠I = 3·12 + 1

∠G = 53°                         ∠I = 37°

Answer:

Step-by-step explanation:

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

12 meters = 12000 mm

(1m = 1000 mm)

12 * 1000 = 12000

Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²

x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²

answer: x = [tex]\sqrt{11}[/tex]  - [tex]\sqrt{11}[/tex]/2

Answer:

133

Step-by-step explanation:

Line PYF is straight. Therefore, its angle measures 180°. One of the angles is 95°. The other angle measures (h-48)°.

Based on this info, we can form an equation:

95°+h°-48° = 180°

h°-48° = 180°-95°

h = 85°+48°

h = 133°

Hence, the value of h is 133°.

Hope this helps!!!

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Answer:

3 hours and 30 minutes

Step-by-step explanation:

8:15+3=11:15

11:15+30=11:45

Answer:

15 hr 30 min

Step-by-step explanation:

8:15 - 9 am = 45 min

9 am to 11 pm = 14 hours

11pm - 11:45 pm = 45 min

90 min = 1 hr 30 min

14 hr + 1 hr 30 min = 15 hr 30 min