Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?

Answer:

x=44

Step-by-step explanation:

If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:

3(x-8)=2(x+10)

3x-24=2x+20

x=44

Hope this is helpful! :)

Answer:

x=36.8

Step-by-step explanation:

We know that the two angles given are supplementary so we can do:

3(x-8)+2(x+10)=180

Then we simplify.

3x-24+2x+20=180

Simplify

5x-4=180

Combine like terms

5x-4=180

    +4  +4

5x=184

Divide to make it x alone.

5x=184

/5      /5

x    =    36.8

I hope this helped

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Answer:

  Decrease the quantity of the input

Step-by-step explanation:

The general assumption is that productivity is a curve that is concave downward, Hence marginal product is decreasing until it reaches zero. The way to increase it is to reduce the input quantity to a value below the point where the curve reaches zero marginal product.

Answer:

e) Nothing, as more workers decreases total product.

Step-by-step explanation:

I got it right on the test.

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

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

------------------------

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from  {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

Answer:

A

Step-by-step explanation:

Answer:

x = 0.36

Step-by-step explanation:

6x^2 +5x - 4 = 0

6x+5x-4 = 0÷2

11x = 0+4

x = 4÷11

Therefore, x = 0.36

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

  28 m

Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

  c = √784 = 28

The longer side is 28 meters.

Answer:range is -2

Step-by-step explanation:

Answer:

Since it is a negative degree it’s a counter clockwise meaning the fourth picture or D with the vertexs being p’(-2,-1),q’(1,-1),r’(1,-3)

Step-by-step explanation:

Answer:

question 1: 5/9 question 2: 9/5

Step-by-step explanation:

10/18 can be simplified to 5/9

18/10 can be simplified to 9/5

Answer:

21

Step-by-step explanation:

Chickens - 2x

cows - 4x

goats = 4x

2x+4x+4x+210

10x=210

x=21

CHECK:

21 chickens = 42 legs

21 cows = 84 legs

21 goats = 84 legs

42+84+84=210 legs

Answer: $20 <= X < = $21

Step-by-step explanation:

According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Answer:

1.20 for each bag of sunflower seeds

Step-by-step explanation:

Answer:  $1.20 per bag

Step-by-step explanation:

[tex]\dfrac{\$7.20}{6\ bags}\div \dfrac{6}{6}\quad = \quad \dfrac{\$1.20}{1\ bag}[/tex]

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1 \times 1&2 \times 1\\3 \times 5&4 \times 5 \end{array}\right][/tex]

Answer:

point D

Step-by-step explanation:

moving 270 degrees clockwise from point R would result in the point being in quadrant I

point D is the only point in quadrant I

Answer:

Banks require home insurance all the way until the house is payed off. This also goes as far as things like taxing, government funding, and collecting money.

Answer:

A

Step-by-step explanation:

The correct answer is A.

"3 less than" represents -3

"half of x" represents x/2

"is 15" represents =15

Answer:

5.8

Step-by-step explanation:

Mean= Sum of votes/No of Votes

Sum of votes: 9+4+8+3+5= 29

No of votes= 5 (9,4,8,3,5)

Mean= 29/5= 5 4/5

5 4/5= 5.8

The mean number of votes are 5.8.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given table is below

Color         Number of votes

Blue                 9

Green              4

Red                  8

Yellow             3

Pink                  5

We have to find the mean number of votes.

Mean = sum of observations/total number of observations

=9+4+8+3+5/5

=29/5

=5.8

Hence,  the mean number of votes are 5.8.

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Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Answer:

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Step-by-step explanation:

Answer

The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

Answer: [tex]f(x)=2(0.5)^x[/tex]

Step-by-step explanation:

Given, the exponential function [tex]y = ab^x[/tex] for a graph that includes (–3, 16) and (–1, 4).

On putting these points, we will have

[tex]f(-3)=16=ab^{-3}\\\\ f(-1)=4=ab^{-1}[/tex]

Now,

[tex]\dfrac{f(-3)}{f(-1)}=\dfrac{16}{4}=\dfrac{ab^{-3}}{ab^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b^{-3}}{b^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b}{b^3}=\dfrac{1}{b^2}\\\\\Rightarrow\ b^2=\dfrac{1}{4}\\\\\Rightarrow\ b=\pm\dfrac{1}{2}=\pm0.5[/tex]

since the multiplicative factor cannot be negative, so b= 0.5.

At b= 0.5

[tex]4=a(0.5)^{-1}\\\\\Rightarrow\ 4=a(\dfrac{1}{2})^{-1}\\\\\Rightarrow\ 4=a(2)\\\\\Rightarrow \ a=2[/tex]

So, the required function is [tex]f(x)=2(0.5)^x[/tex].

Answer:

Step-by-step explanation:

Taking the base 2 log of both sides, we get:

log-base 2 of 2 + log-base 2 of y = log-base 2 of 5, or

            2            + log-base 2 of y = approx. 2.3, or

                              log-base 2 of y = approx 2.3 - 2, or

                               log-base 2 of y = approx 0.3

Please, if you are given a graph or graphs, share them along with all instructions for the problem at hand.  Thank you.

Answer:

easy, heres a hand y≈12⋅1.85x :)

P.s. have a good day :)

Answer:

see below

Step-by-step explanation:

f(x)=3(1.85)^x  +3

Let x = - ∞

f(x)=3(1.85)^-∞  +3

    = 3* 0 +3

    = 3

The graph goes to 3

The graph has a horizontal asymptote of y=3

Let x =  ∞

f(x)=3(1.85)^∞  +3

    = 3* ∞ +3

    = ∞

The graph goes to ∞

Answer:

y = 4/3

Step-by-step explanation:

The required value of fraction y is 4/3.

Given that,

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.

The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.

⇒Simplification

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]                                                                          ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex]               (Transposition of 16/9 from the denominator to the right)
y  = 3 / 4 * 16 / 9
y = 4 / 3

Thus, the required value of fraction y is 4/3.

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Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest

Answer:

(3, -1) -> (5, 4) = √29 or 5.38516

(2, 3) -> (4, 5) = 2√2 or 2.82843

(-5, 7) -> (8, 5) = √173 or 13.1529

(-2, 4) -> (3, -1) = 5√2 or 7.07107

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug the coordinates into the distance formula:

[tex]d=\sqrt{(5-3)^2+(4+1)^2} = \sqrt{29}[/tex]

[tex]d=\sqrt{(4-2)^2+(5-3)^2} = 2\sqrt{2}[/tex]

[tex]d=\sqrt{(8+5)^2+(5-7)^2} = \sqrt{173}[/tex]

[tex]d=\sqrt{(3+2)^2+(-1-4)^2} = 5\sqrt{2}[/tex]

To get the decimals, we evaluate the square roots:

√29 = 5.38516

2√2 = 2.82843

√173 = 13.1529

5√2 = 7.07107

Answer:

d = √[(x₂ - x₁)² + (y₂-y₁)²]

(3, -1) and (5, 4)

√(5−3)²+(4-(-1)²

√(2)²+(5)²

√4+25

√29 = 5.385164807134504 = 5.39

(2,3) and (4,5)

√(4-2)v+(5−3)²

√(2)²+(2)²

√4+4

√8 ≈2.8284271247461903 = 2.83

(-5, 7) and (8,5)

√(8−−5)²+(5−7)²

√(8++0)2+(5−7)²

√(13)²+(−2)²

√169+4

√173 ≈ 13.152946437965905 = 13.15

(-2, 4) and (3, -1)

(3− −2)²+(−1−4)²

√(3++0)²+(−1−4)²

√(5)² + (−5)²

√25+25

√50 ≈ 7.0710678118654755 = 7.07

5/6 divided 1/6, this is the correct answer

:))))

Answer:

5/6 ÷ 1/6

Step-by-step explanation:

*see attachment below for the dot plots that completes the question.

Answer:

B. Centers: The sea turtles have a greater median age than the koi.

D. Spreads: The ages of the koi are more spread out.

Step-by-step explanation:

The measure of center that can be used for comparison is the median, while the spread can simply be visualised by mere looking at how spread out the dots on the number line are. The spread of both can also be compared using their range. The greater the range, the more spread a data is.

=>Median Differences:

The median age for turtle = the middle value = 55

The median age for koi = 30

Therefore, sea turtles have a greater median age than the koi.

=>Spread Differences:

Range for turtle = the highest age - the least age represented on the dot plot = 65 - 45 = 20

Range for koi =  55 - 10 = 45

Koi has a greater range value than koi. Therefore, the ages of the koi are more spread out.