Driving down the highway in separate vehicles, two friends realized that there were mile markers along each side of the road. They counted ten green markers for every mile they traveled. They also counted 8 yellow markers for each green marker. They text to each other their observations and wondered who was driving faster. Dev said he saw 110 green markers in 20 minutes. Mike said she saw 88 yellow markers in 2 minutes. Based on their observations, who is traveling faster?

**Answer:**

Mike

**Step-by-step explanation:**

Mike is the traveling faster.

1. At an elementary school, it's picture day. Two picture packages are available. Package 1

contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two

class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an

individual class picture and the cost of an individual wallet-size picture.

9514 1404 393**Answer:**

**Step-by-step explanation:**

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

c +10w = 19

2c +15w = 31

Subtracting the second equation from twice the first, we get ...

2(c +10w) -(2c +15w) = 2(19) -31

5w = 7

w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

c + 10(1.40) = 19

c = 5 . . . . . . . . . . . subtract 14

**A class picture costs $5; a wallet-size picture costs $1.40**.

The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5

in., what are its width, perimeter, and area?

**Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches, the area is 260.1 inches.
**

**Step-by-step explanation:**

25.5/5=5.1

5.1*2=10.2

**The width is 10.2 inches**

25.5*2+10.2*2=71.4

**The perimeter is 71.4 inches**

20.5*10.2=260.1

**The area is 260.1**

1) The **width of the rectangle** is **10.2 in.**

2) The **perimeter of the rectangle** is **71.4 in.**

3) The **area of the rectangle** is** 260.1 sq.in.**

[tex]P=2\times(l+w)[/tex]

where, 'l' is the length of the **rectangle**

'w' is the width of the **rectangle**

[tex]A=l\times w[/tex]

For given example,

The sides of a **rectangle** are in the ratio 2:5

The longer side of the **rectangle** is 25.5 in.

This means the length of the **rectangle** is [tex]l=25.5~in.[/tex]

Let 'x' represents the width of the **rectangle**.

⇒ [tex]\frac{2}{5} =\frac{x}{25.5}[/tex]

⇒ 2 × 25.5 = 5 × 'x'

⇒ 51 = 5x

⇒ x = 51/5

⇒ x = 10.2 in.

This means the **width of the rectangle** is **10.2 in.**

**⇒ **[tex]l=25.5~in,~w=10.2~in.[/tex]

Using the formula of **perimeter of the rectangle**,

⇒ P = 2 × (25.5 + 10.2)

⇒ P = 2 × 35.7

⇒** P = 71.4 in.**

Using the formula of **area of the rectangle**,

⇒ A = 10.2 × 25.5

⇒ **A = 260.1 sq. in.**

Therefore, the **width of the rectangle** is **10.2 in.**

The **perimeter of the rectangle** is **71.4 in.**

The **area of the rectangle** is** 260.1 sq.in.**

Learn more about **rectangle** here:

https://brainly.com/question/15361972

**#SPJ2**

The average salary for all 27 Arizona Diamondbacks in the 2005 baseball season was $2,308,488, with a standard deviation of $3,427,508. The population, all National League baseball players in 2005, earned an average salary of $2,585,804, with a standard deviation of $3,500,708. Does the average salary of the Diamondbacks players differ from that of all players in the National League

**Answer:**

The average salary of the Diamondbacks players does not differ from that of all players in the National League.

**Step-by-step explanation:**

1) Formulate null and alternate hypothesis

H0: u1= u2 Ha: u1 ≠ u2

The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League

against the claim

that the average salary of the Diamondbacks players differ from that of all players in the National League

The data given is

x1`= $2,308,488, s1= $3,427,508 and n1 = 27

x2`= $2,585,804, s2=$3,500,708 and n2 = 27

2) The test statistic is

z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)

Putting the values

z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)

z= -0.294

3) The significance level is 0.05

The critical region is Z =±1.96

4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.

5) the P-value can be calculated using the calculator.

The p-value is p = 0.7687

The average salary of the Diamondbacks players does not differ from that of all players in the National League.

A survey asks students who walk or ride a bike to school whether they live more than one

mile from school. The results are shown in the table. Based on the results, which conclusion is

best?

Way to Get

to School

Walk

Bike

Total

Live More Than 1 Mile from School

Yes

No

Total

10

31

41

32

27

59

42

58

100

of the students who ride a bike, about 27% live

more than one mile away.

of the students who ride a bike, about 76% live

more than one mile away.

of the students who live more than one mile

away, about 32% ride a bike.

of the students who live more than one mile

away, about 76% ride a bike.

Answer:

of the students who live more than one mile

away, about 76% ride a bike.

Step-by-step explanation:

Write any two laws of indices in division and multiplication

**Answer:**

The first law: multiplication. If the two terms have the same base (in this case. ...

The second law: division. If the two terms have the same base (in this case. ...

The third law: brackets. If a term with a power is itself raised to a power then the powers are multiplied together. ...

Negative powers. ...

Power of zero. ...

Fractional powers.

**Step-by-step explanation:**

What is the product of 2r2 - 5 and 3r

**Answer: 6r^3 - 15r**

**Step-by-step explanation:**

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

plz answer these questions without putting links and files

what is 3/4 multiplied by 1/2 then add 3/4

what is 1 and 1/8 multiplied by 1/2 then add 3/4

**Answer:**

11/8 and 21/16

**Step-by-step explanation:**

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

---

hope it helps

=3/4 × 1/2 + 3/4

=3/8 + 3/4

=9/8

2nd questions ans

=1×1/2 + 3/4

=1/2 + 3/4

=5/4

how do I complete these questions a bit confused . (extra credit work )

**Answer:**

(1)

[tex]a = \frac{3\sqrt 3}{2}[/tex]

[tex]b = \frac{3}{2}[/tex]

(2)

[tex]a = \sqrt 6[/tex]

[tex]b = \sqrt 2[/tex]

**Step-by-step explanation:**

**Solving (1):**

**Considering **

[tex]\theta = 60^o[/tex]

**We have:**

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

**This gives:**

[tex]\sin(60^o) = \frac{a}{3}[/tex]

**Solve for a**

[tex]a = 3 * \sin(60^o)[/tex]

[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]

**So:**

[tex]a = 3 * \frac{\sqrt 3}{2}[/tex]

[tex]a = \frac{3\sqrt 3}{2}[/tex]

**To solve for b, we make use of Pythagoras theorem**

[tex]3^2 = a^2 + b^2[/tex]

**This gives**

[tex]3^2 = (\frac{3\sqrt 3}{2})^2 + b^2[/tex]

[tex]9 = \frac{9*3}{4} + b^2[/tex]

[tex]9 = \frac{27}{4} + b^2[/tex]

**Collect like terms**

[tex]b^2 = 9 - \frac{27}{4}[/tex]

**Take LCM and solve**

[tex]b^2 = \frac{36 - 27}{4}[/tex]

[tex]b^2 = \frac{9}{4}[/tex]

**Take square roots**

[tex]b = \frac{3}{2}[/tex]

**Solving (2):**

**Considering **

[tex]\theta = 60^o[/tex]

**We have:**

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

**This gives:**

[tex]\sin(60^o) = \frac{a}{2\sqrt 2}[/tex]

**Solve for a**

[tex]a = 2\sqrt 2 * \sin(60^o)[/tex]

[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]

**So:**

[tex]a = 2\sqrt 2 * \frac{\sqrt 3}{2}[/tex]

[tex]a = \sqrt 2 * \sqrt 3[/tex]

[tex]a = \sqrt 6[/tex]

**To solve for b, we make use of Pythagoras theorem**

[tex](2\sqrt 2)^2 = a^2 + b^2[/tex]

**This gives**

[tex](2\sqrt 2)^2 = (\sqrt 6)^2 + b^2[/tex]

[tex]8 = 6 + b^2[/tex]

**Collect like terms**

[tex]b^2 = 8 - 6[/tex]

[tex]b^2 = 2[/tex]

**Take square roots**

[tex]b = \sqrt 2[/tex]

X

1 point

Mr.Boxer has organized the features of a credit card and a debit card into the table below. Which description is the best representation for the

missing detail?

CREDIT CARD

DEBIT CARD

?

purchases are withdrawn

immediately from bank

account

may not spend more than

your credit limit

may not spend more than

the balance of the

account

purchases are subject to

interest

no interest charged on

purchases

**Answer:**

Purchases are not withdrawn immediately from bank

**Step-by-step explanation:**

In case of credit cards, purchases are not withdrawn immediately from bank in fact the transaction needs approval and verification from the bank. Once the bank verify with the customer regarding the transaction requested, it will not allow money to flow from one account to other.

amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.

a 350

b 130

c 900

d 630

**Answer:**

He gets 630 dollars a week so the answer is D.

While in flight, some hummingbirds can flap their wings about 500 times in 10 seconds

Is this a true or false?

**Answer:**

50 times in 1 second

**Step-by-step explanation:**

I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)

line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?

**Answer: Section formula**

**Step-by-step explanation:**

Given

The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2

To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.

We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then _______________________________________________.

**Answer:**

too difficult 99%(95%) fraction and decimal of 26.5 and (-36)

Eleanor can type 10 pages in 22 minutes. At this rate, how long will it take her to type 93 pages?

**Step-by-step explanation:**

[tex]93 \times 22minutes = 2046 \\ \frac{2046}{10} = 204.6minutes[/tex]

What two numbers multiply into (-24) and adds up to (-11)?

**Answer:**

-3 and -8

**Step-by-step explanation:**

Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.

If a+b=-11, a=-11-b.

ab=-24

(-11-b)b=-24

b²+11b+24=0

(b+3)(b+8)=0

b=-3, b=-8

a=-11-b=-11+3=-8

a=-11-b=-11+8=-3

So the numbers are -3 and -8

The buu in knees are -3 and -8

The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle.

**Answer:**

**Step-by-step explanation:**

8 cm

What is the volume of a cylinder of a radius if 12cm and height 8cm

**Answer:**

V≈3619.11cm³

**Step-by-step explanation:**

**Answer:**

3619.11 cm³

**Step-by-step explanation:**

V = πr²h

π · 12² · 8

3619.11 cm³

the question is in the picture lol

50% or 1/2 because it’s a dice u either have even or odd

Your gross income is

$1945.63 of which you

get to keep 86% after

taxes.

**Answer: You get to keep 1,673.24 **

**You pay 272.38 in taxes.**

f(x) = 2x3 – 3x2 + 5

g(x) = 3x3 + 2x2 – 4x – 9

Find (f - g)(x).

Answer This is (3x-23)(23)

3.) 7:14. Find the value ofr

**Answer:**

1:2 all you have to do is simplify

What is the value of p(24)?

**Answer:**

24p

**Step-by-step explanation:**

I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.

Hope this helped!

Simplify this please.

**Answer:**

The answer is in the picture I couldn't type it sorry.

**Step-by-step explanation:**

A person invests $4000: part of the investment is at 10% interest and the rest at 12% interest. If she received $460 at the end of the year in interest, how much was invested at each rate?(whole number in dollars)

**Let x be the amount invested at 10%;
**

**SO we have;
**

**.10x=amount invested at 10%
**

**(4000-x).12=amount invested at 12%
**

**So our equation would be;
**

**.10x+(4000-x).12=460
**

**Distribute the 12%;
**

**.10x+480-.12x=460
**

**Put like terms together so you can see them better;
**

**
**

**.10x-.12x+480=460
**

**-.02x+480=460;
**

**subtract 480 from both sides;
**

**-.02x=-20
**

**Multiply each side by -.02;
**

**x=1000
**

**Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;
**

**$4000-$1000=$3000
**

**Hope you understand
**

**=)**

A parabola y=x^2 is what type of function?

an even function

an odd function

an asymmetric function

a one to one function

**Step-by-step explanation:**

The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.

275436

divisible by 11

It’s not a perfect number to be divided by 11.

275436/11

=

rounded: 25,039.64

hope this helps

275436/11

=

rounded: 25,039.64

hope this helps

If event A is certain to occur, what is P(A)?

**Answer:**

Unless I'm misunderstanding it should be 100% or 1/1 because something that is 100% likely to happen will always happen.

**Step-by-step explanation:**

If there is anything else that may change my understanding of this please send it otherwise I hope this helps.

The **value **of **P(A) **is **1** where** A **is the **event **that is **certain **to occur because the **probability **of any event is **1 **which means that **event **is **certain **to **occur**.

It is defined as the **ratio **of the number of **favorable **outcomes to the **total **number of **outcomes**, in other words, the **probability **is the **number **that shows the **happening **of the event.

It is given that:

If event** A **is certain to **occur**.

As we know,

From the **definition **of **probability**, the ratio of the number of **favorable outcomes **to the total number of **outcomes**

The **value **of the **probability **lies between **0 **to 1 or [0, 1]

If the **probability **of any event is 0 that means that **event **cannot happen.

If the **probability **of any event is **1 **that means that **event **is certain to occur.

Event A is certain to occure.

P(A) = 1

Thus, the **value **of **P(A) **is **1** where** A **is the **event **that is **certain **to occur because the **probability **of any event is **1 **which means that **event **is **certain **to **occur**.

Learn more about the **probability** here:

brainly.com/question/11234923

#SPJ5

The price of a video game was reduced from $60 to $45. By what percentage was the price of

the video game reduced?

F 15%

G 25%

H 75%

4096

Someone please help

**Answer:**

G. 25%

**Step-by-step explanation:**

given : The price of a video game was reduced from $60 to $45 .

$60 - $45 = $15

then, the percentage was the price of the video game reduced :-

reduction in price/previous price x 100 = 15/60 x 100 = 25%

the percentage was the price of the video game reduced = 25%

The first step in solving a problem is to write a let statement￼

**Answer:**

whats this? can you provide more context?

**Step-by-step explanation:**

i’m confused? no picture.

Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know

**Answer:**

Grapes are less expensive

**Step-by-step explanation:**

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

Help. No links. You need to find volume. Ty :3
Mass media are media that are:O A. intended for a single demographic.B. responsible for all media manipulation.O C. designed for a large audience.O D. created for one specific person.
When a liquid is cooled kinetic energy of the particles remain the same, increase or decrease
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Please factor using the x method ( please do not answer if you don't know how to do it )
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Find the surface area of the regular pyramid.PLS HELP ME
Mi novio y yo nosel verano pasado.conocimosconocamos
hey! ill give brainliest please help!
QUESTION 2.Trevor bought new sneakers originally listed for $64.99. They are 15% off. Which equation can be usedto find the amount Trevor will save?A. X= 1.15(64.99)B. x = 15(64.99)C. x = .85(64.99)D. x = .15(64.99)
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[tex] \sqrt[2]{a} {}^{2} [/tex]
Factor 32x15 . If the expression cannot be factored, write cannot be factored.