Robert is Running in a race that is 3 miles long. A Distance marker is placed evenly every 1/2 mile from the beginning of the race until the end. What is the total number of distance markers on the trail?

Answer:

[tex]x + y = 650[/tex]              

Step-by-step explanation:

We are given the following in the question:

Total calories in a bag of carrot and a container of hummus dip = 650

Rosarita's snack:

Some of the bag of carrots and some of the container of hummus.

Total calories in Rosarita's snack = 260

Let x represents the total number of calories in the bag of carrots and y represents the total number of calories in the container of hummus.

Then, we can write the following equation to represent total number of calories in both a bag of carrot and a container of hummus dip:

[tex]x + y = 650[/tex]

Since Rosarita did not eat the whole bag of carrot and the whole container of hummus and also x and y are the total calories in whole bag of carrot and container of hummus respectively.

Answer:

x+y=650

Step-by-step explanation:

its right on edge 8th grade math

Answer:

Finance Charge = $1.42

New Account Balance = $90.02

Step-by-step explanation:

APR (Annual Percentage Rate) = 22%

Periodic Rate = 1.83% (APR/12)

Beginning Balance = $102.33

Payment made on 15th day = $25.00

Purchase made on 25th day = $11.27

Finance Charge = (Beginning Balance - Payment made on 15th day) x Periodic Rate

Finance Charge = ($102.33 - $25.00) x 0.0183

Finance Charge = $77.33 x 0.0183

Finance Charge = $1.42

New Account Balance = Beginning Balance - Payment made on 15th day + Purchase made on 25th day + Finance Charge

New Account Balance = $102.33 - $25.00 + $11.27 + $1.42

New Account Balance = $90.02

The finance charge is approximately $1.67, and the new account balance after accounting for the payment and purchase is $90.27.

We start with the account balance on April 1st, which is $102.33. On April 15th, a payment of $25.00 is made, and on April 25th, a purchase of $11.27 is made.

1: Calculate the Average Daily Balance

Average Daily Balance = ( (14 * 102.33) + (10 * 77.33) + (6 * 88.60) ) / 30 = $91.22

2: Calculate the Finance Charge

Given the annual interest rate of 22%, we first find the monthly rate: 22% / 12 = 1.833%.

Then we calculate the finance charge:

Finance Charge = Average Daily Balance * Monthly Rate
Finance Charge = $91.22 * 0.01833 ≈ $1.67

3: Calculate New Account Balance

New Balance = Previous Balance - Payment + Purchase + Finance Charge

New Balance = $102.33 - $25.00 + $11.27 + $1.67 = $90.27

The new account balance is $90.27.

Attached is a graph of the function [tex]f(x)=\sqrt{9}[/tex]

Answer:

Below.

Step-by-step explanation:

a  = tangential velocity

b  = tangential acceleration

c  = Angular acceleration

d  = angular displacement

e  =  Angular velocity

f   =   radius.

Answer:

Step-by-step explanation:

The cost of the three books that James bought from the bookstore.

He has a coupon for 25% off the original price. This means that the amount by which the original price was reduced would be

25/100 × 39.99 = 0.25 × 39.99 = $9.8325

The cost of the books would be

39.99 - 9.8325 = $30.1575

He is charged 8.5% sales tax. This means that the amount paid for tax would be

8.5/100 × 30.1575 = 0.085 × 30.1575 = $2.56

the total cost of his purchase would be

2.56 + 30.1575 = $32.7175

Answer:

$32.7175

Step-by-step explanation:

Answer:

Cost per Electricity Unit= $0.61

Cost per Gas Unit= $0.22

Step-by-step explanation:

Suppose,

Cost per Electricity Unit: e

Cost per Gas Unit: g

for the first month condition, equation would be

[tex]600*e+100*g=388...........................................(i)[/tex]

and for the next month condition, equation would be like

[tex]400*e+150*g=277...........................................(ii)[/tex]

By solving both linear equations simultaneously, we get

e=0.61    and     g=0.22

Question is Incomplete;Complete question is given below;

Caleb made $105 mowing lawns and walking dogs, charging the rates shown. If he mowed half as many lawns as dogs walked, how many lawns did he mow and how many dogs did he walk? $7.50 for walking dogs and $20 for mowing lawns

Answer:

Caleb mowed 3 lawns and walked 10 dogs.

Step-by-step explanation:

Let the number of dogs he walked be 'd'.

Let number of lawn he mowed be 'l'.

Given:

If he mowed half as many lawns as dogs walked

So we can say that;

[tex]l=\frac{1}{2}d=0.5d \ \ \ \ equation\ 1[/tex]

Now given:

Cost for mowing each lawn = $20

Cost for walking each dog = $7.50

Total amount made = $105

Now we can say that;

Total amount made is equal to Cost for mowing each lawn multiplied by number of lawn he mowed and Cost walking each dog multiplied by number of lawn he mowed.

framing in equation form we get;

[tex]20l+7.5d=105 \ \ \ \ \ equation \ 2[/tex]

Substituting equation 1 in equation 2 we get;

[tex]20(0.5d)+7.5d=105[/tex]

Applying distributive property we get;

[tex]10d+7.5d=105\\\\17.5d=105[/tex]

Dividing both side by 17.5 we get;

[tex]\frac{17.5d}{17.5}=\frac{105}{17.5}\\\\d= 6[/tex]

Substituting the value of 'd' in equation 1 we get;

[tex]l=0.5d=0.5\times6=3[/tex]

Hence Caleb mowed 3 lawns and walked 10 dogs.

Answer: C) 44 mph

Step-by-step explanation:

We know that [tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

Given : A car drives 40 miles on local roads at 20 mph.

i.e. Time taken : [tex]t_1=\dfrac{40}{20}=2\ hour[/tex]

Also, it drives 180 miles on the highway at 60 mph.

i.e. Time taken : [tex]t_2=\dfrac{180}{60}=3\ hour[/tex]

We know that the formula for Average speed is given by :-

[tex]A.V.=\dfrac{\text{Total distance}}{\text{Total Time}}[/tex]

So the average speed of the entire trip will be :-

[tex]\dfrac{40+180}{t_1+t_2}\\\\\\=\dfrac{220}{2+3}=\dfrac{220}{5}\\\\=44[/tex]

Hence, the average speed of the entire trip is 44 mph.

Therefore , the correct answer is C) 44 mph.

Answer:

There were 25 problems on the science quiz

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Grade Manuel got on the science quiz = 80% or 80/100

Number of correct answers = 20

2. How many problems were on the science quiz?

Let's use the Rule of Three Simple, this way:

Problems on the science quiz   Percentage

20                                                    80

x                                                       100

x * 80 = 20 * 100

80x = 2,000

x = 2,000/80

x = 25

There were 25 problems on the science quiz

Answer:

25

Step-by-step explanation:

20 x 100/80 = 25

or 20/80 = x/100

Answer:

In step 2, the LCD was not used correctly to make equivalent fractions.

Step-by-step explanation:

Answer:

In step 2, the LCD was not used correctly to make equivalent fractions.

Step-by-step explanation:

Answer D.It will increase 8 times.

Step-by-step explanation:

Answer: It will increase 8 times

Step-by-step explanation:

Range simply means the smallest number subtracted from the biggest number. Initially, the scores were 70, 72 and 68 then making the range 68-72 = 4. Now a new score is added which is 100 and it is obviously the biggest number now. So we subtract 68 from 100 that is ; 100-68= 32. This new range is 8 times more than the former. That is, 32/4 = 8.

The bonds are being sold at 110.611% of their face value, so each bond costs roughly $1,106.11. Therefore, to purchase three bonds, Sean would need to pay roughly $3,318.33.

When the question states that the bonds are 'selling at 110.611', it means that each bond is sold at 110.611% of its face value, which is $1,000. So to find the price of one bond you would multiply $1,000 by 1.10611 (110.611%), which equals roughly $1,106.11. Thus, if Sean wishes to purchase three bonds, you would simply multiply the price of one bond by three: $1,106.11 times 3 equals $3,318.33. So, Sean should expect to pay approximately $3,318.33 if he wants to purchase three bonds from the city of Tavel Gorge.

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Answer:

The bonds are being sold at 110.611% of their face value, so each bond costs roughly $1,106.11. Therefore, to purchase three bonds, Sean would need to pay roughly $3,318.33.

Step-by-step explanation:

Answer:

2,400cm^2

Step-by-step explanation:

This is quite an interesting question.

Now, we know the frame measures 60 by 80. We also know that the thickness of the frame is 10cm in length. Hence from the side of the mirror to the other side of the frame is 10cm.

We have the 10cm on each side of the frame. Making a total of 40cm and 20cm each allowance on the length and breadth of the mirror. The length and breadth of the mirror is thus 40cm by 60cm.

The area of a rectangle is L * B

The area of the mirror is 40 * 60 = 2,400cm^2

The fact that the width of each side of the frame is 10 cm means that each side of the mirror is 20 cm smaller than the corresponding side of the frame. Therefore, the mirror measures 40 cm by 60 cm, with an area of 2400.

Answer:

The number of fiction books is 500 and non fiction books is 1500.

Step-by-step explanation:

Given:

Total book library contains = 2000.

There are 3 times as many non fiction books as fiction books.

Now, to determine the number of non fiction books and fiction books.

Let the fiction books be [tex]x.[/tex]

And the non fiction books be [tex]3x.[/tex]

Total books = 2000.

Now, to get the number of non fiction books and fiction books we put an equation:

[tex]3x+x=2000.[/tex]

[tex]4x=2000.[/tex]

Dividing both sides by 4 we get:

[tex]x=500.[/tex]

Fiction books = 500.

Non fiction books = [tex]3x=3\times 500=1500.[/tex]

Therefore, the number of fiction books is 500 and non fiction books is 1500.

To solve for the number of nonfiction and fiction books in the library, set up a system of equations and solve them to find there are 500 fiction books and 1500 nonfiction books.

To determine the number of nonfiction and fiction books in the library, we can use a system of equations. Let's denote the number of fiction books as F and the number of nonfiction books as NF. According to the problem, the total number of books in the library is 2000, and there are 3 times as many nonfiction books as there are fiction books.

Our two equations will be:

F + NF = 2000 (Total number of books)

NF = 3F (3 times as many nonfiction books)

To solve these equations:

Substitute the second equation into the first one:

F + 3F = 2000

4F = 2000

Divide both sides by 4 to find F:

F = 2000 / 4

F = 500

There are 500 fiction books. Now we can find the number of nonfiction books by multiplying 500 by 3:

NF = 3 * 500 = 1500

So, the library has 500 fiction books and 1500 nonfiction books.

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Answer:

Step-by-step explanation:

The figure has 4 sides, so is a quadrilateral. Opposite sides are parallel, so the figure is a parallelogram.

Angles are not 90°, so the figure is not a rectangle. Sides are not all the same length, so the figure is not a rhombus. Because the figure has two pairs of parallel sides (not just one pair), it is not a trapezoid.

Answer:

a and b on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check the attachment for solution

Answer:

[tex]g(x)=|x+4|-2[/tex]

Step-by-step explanation:

All the absolute value functions given in the option are of the form:

[tex]g(x)=|x-h|+k[/tex], where (h,k) is the vertex

From your description the absolute value graph has vertex at (-4,-2)

Hence h=-4 and k=-2.

We substitute to get:

[tex]g(x)=|x--4|+-2[/tex]

We simplify to get:

[tex]g(x)=|x+4|-2[/tex]

Answer:

Continuous observation

Step-by-step explanation:

Generally, the weight of any person is displaced in whole numbers without the inclusion of decimal numbers. The decimal numbers are mostly rounded up to the whole number. Based on the argument made in the given problem, the type of weight variable for this type of analysis is known as continuous observation.

Answer:

  y = (8/5)√10

Step-by-step explanation:

You seem to have ...

  [tex]y=kx\sqrt{z}[/tex]

We can find k from the given values ...

  [tex]\dfrac{y}{x\sqrt{z}}=k=\dfrac{6}{3\sqrt{9}}=\dfrac{6}{3\cdot 3}=\dfrac{2}{3}[/tex]

Then for the new values, ...

  [tex]y=\dfrac{2}{3}\cdot 4\sqrt{3.6}=\dfrac{8\sqrt{90}}{3\cdot 5}=\dfrac{8\sqrt{10}}{5}[/tex]

Answer:

Step-by-step explanation:

let the eq. of circle be a(x²+y²)+bx+cy+d=0

x²+y²+b/a x+c/a y+d/a=0

if it passes through (0,0)

0²+0²+b/a*0+c/a*0+d/a=0

so d=0

Hence x²+y²+b/a x+c/a y=0

if it passes through (1,2) and (3,-1)

1²+2²+b/a×1+c/a×2=0

5+b/a+2c/a=0   ...(1)

and 3²+(-1)²+b/a*3+c/a*(-1)=0

10+3b/a-c/a=0   ...(2)

(1)+2(2) gives

5+b/a+2 c/a+20+6 b/a -2 c/a=0

7 b/a+25=0

b/a=-25/7

from (1)

5-25/7+2 c/a=0

2 c/a+10/7=0

2 c/a=-10/7

c/a=-5/7

so eq. of circle is x²+y²-25/7 x-5/7 y=0

7(x²+y²)-25 x-5 y=0

Answer: 0.25 or 25%

Step-by-step explanation:Women have two chromosomes XX and men have two also XY.

From the question, it can be seen that colorblindness is an X-linked recessive condition.

Let the X-linked recessive gene be specified as [tex]X^{-}[/tex] and the dominant gene which is not colorblind linked as [tex]X^{+}[/tex].

The question says the woman has a father who is colourblind which means her father possesses the X-linked recessive gene [tex]X^{-}[/tex] which means he has chromosomes [tex]X^{-}Y[/tex] and therefore must have given his daughter the recessive gene

For her husband who has normal vision his chromosomes will be [tex]X^{+} Y[/tex].

So, the probability that their son will be colourblind will be;

Chromosomes [tex]X^{+}[/tex] Y

[tex]X^{+}[/tex] [tex]X^{+} X^{+}[/tex] [tex]X^{+}Y[/tex].

[tex]X^{-}[/tex] [tex]X^{-} X^{+}[/tex]. [tex]X^{-}Y[/tex].

Therefore, the probability that their son will be color blind = ¼ or 0.25 or 25%

Answer:

0.4

Step-by-step explanation:

Equation is

x-(-3.8)=2(x-1.7)

solving for x,

x+3.8=2x-3.4

x=0.4

Final answer:

The value of x is found by setting up an equation based on the distances provided and considering two separate cases for the absolute value. After solving the equation, the positive value of x is determined to be 7.2.

Explanation:

To solve for the value of x in this problem, we need to set up an equation based on the information given about the distances on a number line. The distance between x and -3.8 is twice the distance between x and 1.7. This translates to the following equation:

|x - (-3.8)| = 2|x - 1.7|

We then solve this equation step-by-step:

Therefore, the value of x to the nearest tenth is 7.2.

Answer: 17.3

Step-by-step explanation:

Since it is a right angled triangle , we will use the application of SOHCAHTOA in solving it  ,which means

sine Ф = opposite / hypotenuse

cosine Ф = adjacent / hypotenuse

Tangent Ф = opposite / adjacent

Ф stands for the given angle.

From the diagram , the given angle is 25 ,this means that

opposite = x

hypotenuse = 41

This means that we will use sine Ф = opposite / hypotenuse to find the value of x.

Therefore:

sin 25 = x/41

x = 41 sin 25

x = 41 x 0.4226

x = 17.3273

x ≈ 17.3

Answer:

The answer to your question is height = 12 mm

Step-by-step explanation:

Data

l = w = 9 mm

V = 324 mm³

h = ?

Formula

V = [tex]\frac{Ab x h}{3}[/tex]

Solve for h

                       3V = Ab h

                       3V / Ab = h    or     h = 3V / Ab

Find the area of the base

Ab = l x w

     = 9 x 9

     = 81 mm²

Substitution

                       h = [tex]\frac{3(324)}{81}[/tex]

Simplification

                       h = [tex]\frac{972}{81}[/tex]

Result

                       h = 12 mm                    

Answer:

The area is 54

Step-by-step explanation:

6x18 = 108

108 x 1/2 = 54

Answer:

area 51

Step-by-stareaep explanation:

Answer:445 student tickets were sold.

75 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of student tickets that were sold in the talent show.

Let y represent the number of adult tickets that were sold in the talent show.

The talent show committee sold a total of 530 tickets in advance. This means that

x + y = 530

Student tickets cost $3 each and the adult tickets cost $5 each. The total receipts were $1740. This means that

3x + 5y = 1740 - - - - - - - - - - - - 1

Substituting x = 530 - y into equation 1, it becomes

3(530 - y) + 5y = 1740

1590 - 3y + 5y = 1740

- 3y + 5y = 1740 - 1590

2y = 150

y = 150/2 = 75

x = 530 - y = 530 - 75

x = 455

.

Answer:

Step-by-step explanation:

The histogram depicts the year-by-year damage in millions of dollars caused by tornadoes from 1950 to 1999. It uses class intervals to display the frequency of damage costs, where each bar represents a specific cost range.

In the given question, we discuss a histogram that represents the commutative property damage caused by tornadoes from 1950 to 1999 across the 50 US states and Puerto Rico. The histogram's class intervals are set from 0 to < 10, 10 to < 20, and so forth, and the data are in millions of dollars. A histogram is a type of graphical representation used in statistics to display the distribution of data. Each bar in a histogram represents the tabulated frequency at each interval. In this case, the frequency is the year count in which the commutative property damage caused by tornadoes falls within a specific monetary range.

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Answer:

y = (7/8)x

Step-by-step explanation:

Exponential decay is represented when the number used is less than 1. 7/8 is the only choice that is less than 1.

y = (7/8)ˣ is an exponential decay because b = 7/8 < 1.

An exponential decay is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.

From the question y = (7/8)ˣ is an exponential decay because b = 7/8 < 1.

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