Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the

same section of the trip is displayed below.

Who had a head start, and how many miles was the head start?

Rita's Drive

y

(4, 288)

280-

Roger's Drive

240

Time (hr)

Distance (mi)

(3,223)

200-

1

65

160-

• (2, 158)

2

130

Distance (mi)

120-

3

195

(1,93)

80-

4.

260

40-

0

0

Time (hr)

Who Had the head start?

Answer:

B- 44

Step-by-step explanation:

87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.

hope this helped! -brooke :))

''Store A'' has the least amount to pay for an item at price of 291.60.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Price : 360

Hence,

Store A: Sale of 10% off and a successive discount of 10% off.

360 x (100-10)% = 360 x 90% = 324

324 x (100-10)% = 324 x 90% = 291.60

Store B: Sale of 15% with no additional discount

360 x (100-15)% = 360 x 85% = 306

Store C: Sale of $35 off and a successive discount of 10% off

360 - 35 = 325

325 x (100-10)% = 325 x 90% = 292.50

Hence, Store A has the least amount to pay for an item at price of 291.60

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Answer:

y + 3x = - 20

Step-by-step explanation:

x - 3y + 25 = 0

- 3y = - 25 - x

3y = 25 + x

y = ( 25 + x )/3

y = ( 1/3 )x + 25/3

Y= mX+ c

m= gradient= 1/3

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(1/3) = -3

Now for the perpendicular line equation, we have:

y = 1

x= 7

m= -3

y - y1 = m ( x - x1 )

y - 1 = -3 ( x + 7 )

y-1 = -3x -21

y + 3x = -20

Answer:

x = .28

y = 0

Step-by-step explanation:

Voume of disk = pi *r^2 = pi * e^-3x deltax

x = integal 0 to 1 of x * delta*pi*e^-3x deltax / mass = (delta*pi) integal 0 to 1 of x * e^-3x deltax/mass = (delta*pi)0.08898/mass

mass = sigma *(volume)=delta(pi/3*(1-e^-3)) =delta(.995)

x = (delta*pi)0.08898/delta(.995) = .28

by symmetry y=0

A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the x axis.  Then value of x is 0.28 and y is 0.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of disk is given by formula πr²

Volume of disk =  πr²= π × e⁻³ˣ Δx

[tex]x=\int\limits^0_1 {x} \, \pi e^{-3x} dx[/tex]

= (delta.π) integal 0 to 1 of x × e⁻³ˣ delta x/mass

= (delta. π) 0.08898/mass

mass = sigma ×(volume)=delta( π/3*(1-e⁻³)) =delta(0.995)

x = (delta*π)0.08898/delta(0.995) = 0.28

x=0.28

and by symmetry y=0

Hence the value of x is 0.28 and value of y is 0.

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Answer: x=40

Step-by-step explanation:

x+2x+x+20=180

first you combine the like terms which are (x, 2x, x) and get 4x.

now you have 4x+20=180

next you subtract 20 on both sides:

4x+20=180

     -20 -20

and get 4x=160

finally you divide 4 on both sides and get a final answers of x=40

Answer:

constant of proportionality = 10

Step-by-step explanation:

Direct proportion equation :

y = kx, where k is the constant of proportionality

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

Answer:

It is irrational

Step-by-step explanation:

Rational numbers do not have decimals.

Answer:

use a contractor or protractor or whatever theyre called

Step-by-step explanation:

i just need points to ask another question

Answer:

15, 11, 7, 3, -1, -5, -9, -13

Step-by-step explanation:

Inserting Arithmetic Means (AM's)

Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].

To place n numbers, we need to open n+1 spaces, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1).

We need to insert 6 AM's between 15 and -13. Each AM will be inserted at a space of (-13-15)(6+1)=-28/7=-4.

Thus the sequence is formed subtracting 4:

15

15-4=11

11-4=7

7-4=3

3-4=-1

-1-4=-5

-5-4=-9

-9-4=-13

The sequence is (numbers in bold are the AM's):

15, 11, 7, 3, -1, -5, -9, -13

Answer:

Commutative property of multiplication.

Explanation:

Commutative property is when you switch the order of the numbers around yet the answer still remains the same.

Ex: ab=ba or a+b=b+a

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Step-by-step explanation:

i dont see a venn diagram but i think the number is probably more than 5

The probability that the number selected is odd or less than five will be 0.20 or 20%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.

One piece of paper is randomly selected from the hat.

Then the probability that the number selected is odd or less than 5 will be

Total event = 10

Favorable event = 2 {1, 3}

Then the probability will be

[tex]\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%[/tex]

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= 3/4 × 3 3/7

= 3 3/7 as an improper fraction = 24/7

= 3/4 × 24/7

= 3 × 24 / 4 × 7

= 72/28

Let us try to simplify it .

We know that both 72 and 28 is divisible by 4 . Hence ,

72 ÷ 4 / 28 ÷ 4

= 18/7

Therefore , 3/7 × 3 3/7 = 72/78 or 18/7 ( simplest form ) .

Answer: 1²³⁄₄₉

Step-by-step explanation:

Convert any mixed numbers to fractions

3³⁄₇ x ²⁴⁄₇

Applying the fractions formula for multiplication

3 x 24

_____

7   x  7

= ⁷²⁄₄₉

Simplifying fraction

1²³⁄₄₉

Answer:

Y= -6x + 1

Step-by-step explanation:

Y=mx + b

M is your slope

B is your y intercept

Answer:

yes i can help you

Step-by-step explanation:

Answer:

The height is the water wheel diameter so if you have 9' of head but are only running a 6 foot diameter wheel the height for this calculation is 6 feet. Most people use 12v batteries to store their electricity and an inverter

Step-by-step explanation:

Sorry if I cant help but that's number 2 answer.

Answer:

flips the sign of the opposing coordinate (-3,-2)

Step-by-step explanation:

9514 1404 393

Answer:

  -8 ≤ x ≤ 2

Step-by-step explanation:

We assume you intend the absolute value equation ...

  [tex]|x+3|\le5\\\\{-}5\le x+3\le5\qquad\text{rewrite as a compound inequality}\\\\\boxed{{-}8\le x\le2}\qquad\text{subtract 3}[/tex]

Answer:

My estimate  think it 1225

Step-by-step explanation:

49 / 2 * (49 + 1) = 1225

Answer:

any number between 0 and 10

Step-by-step explanation:

15 - 3/2y

how many times can 3/2 go into 15?

10 times. The most blankets he can make is 10, so any number less than 10 and greater than zero would be a correct solution

can i get brainliest please?

Answer:

9 and 10

Step-by-step explanation:

Answer:

Tiger=12

glorillas=4

ratio=12\4

=4:1

Answer:

THERE IS NO RESULTS IN MY MIND

Step-by-step explanation:

SORRY IF WE DID NOT ANSWER IT SAD.......

5x+6+92 = 22x-4

5x+98 = 22x-4

add 5x to both sides

98 = 27x-4

add 4 to both sides

102 = 27x

divide both sides by 27

x = 3 and [tex]\frac{7}{9}[/tex]

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

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The answer to your question is -1/4

A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,

[tex]\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8[/tex]

Thus, the amount paid by Marta for the cookbook is $7.80.

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Answer:

(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.

Experimental

Neither blind nor double-blind (unless a placebo is being administered to some participants).

(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).

Observational

There is no blinding issue here.

(c) An investigation of whether the size of the midsagittal plane of the anterior commissure (a part of the brain) of a man is related to the sexual orientation of the man.

Observational

There is no blinding issue here.

Step-by-step explanation:

An observational study happens where some variables are observed to determine their correlations.   On the other hand, in experimental studies, the researcher controls certain variables to determine causality.  Therefore, an experimental study provides evidence of cause and effect, like in (a) above.

Answer:

Step-by-step explanation:

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