Please answer thank you

Answer:

Colby makes more money by teaming with Danielle

Step-by-step explanation:

Colby's income =f(x) = 3x+12

and Danielle's income = g(x) = 5x+10

If they combine their efforts the combined income would be

h(x) = 3x+12+5x+10 = 8x +22

If shared equally between them

Colby would get 1/2(8x+22) = 4x+11  and

Danielle would get  1/2(8x+22) = 4x+11

Since given they worked each for 4 hours

Colby income = Danielle income= 4(4) +11 = 27

If not combined, then

Colby income 3(4) + 12=24 and

Danielle income= 5(4) +10 = 30

Because of combining Colby makes more money by teaming with Danielle.

The difference is 3 for 4 hours work.

Answer:

B

Step-by-step explanation:

team with Danielle , h(x)=8x+22

There was no increase. There was actually a decrease of people in the population. If you are asking for the percent of decrease, the answer is 3200/25000=0.128 0.128*100=12.8%.

Answer:

(x-7)(x+6)

Step-by-step explanation:

The solution of the equation is -6 and 7 for factorization of the given polynomial [tex]x^{2} - x - 42[/tex].

Given equation :-   [tex]x^{2} - x - 42[/tex]

For finding factors of the equation, we have equate the given polynomial with zero.

∴    [tex]x^{2} - x - 42 = 0[/tex]

Factorizing the above equation,

⇒   [tex]x^{2} - 7x + 6x - 42 = 0[/tex]

⇒   [tex]x (x -7) + 6(x - 7) = 0[/tex]

⇒   [tex](x + 6)(x - 7) = 0[/tex]  

∴ Either x + 6 = 0  or  x - 7 = 0  

∴ x1 = -6  and  x2 = 7

Where x1 and x2 are the respective factors of the given polynomial in the question.

Thus, the solution of the equation is -6 and 7 for factorization of the given polynomial [tex]x^{2} - x - 42[/tex].

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i think that its is w,k,j. i could be wrong though

The girl walked a distance of [tex]\boxed{{\mathbf{5 miles}}}[/tex]  in her way.

Further explanation:

The time can be calculated as,

[tex]{\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}[/tex]  

Given:

It is given that a girl stands 20 miles away from the school at [tex]6:50{\text{ am}}[/tex]  and she started walking at the rate of [tex]3{\text{ mi/hr}}[/tex]  and then after some time her dad pick up and he drives at the rate of [tex]30{\text{ mi/hr}}[/tex] . They reach the school at [tex]9:00{\text{ am}}[/tex] .

Step by step explanation:

Step 1:

Consider [tex]x[/tex]  as the distance she walked in her way.

The speed of the girl when she walked is [tex]3{\text{ mi/hr}}[/tex] .

Now use the formula of time to obtain the walk time.

[tex]\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}[/tex]

Since the total distance is [tex]20{\text{ miles}}[/tex] .

Then consider [tex]20-x[/tex]  as the distance driven by the car.

The driving speed is [tex]30{\text{ mi/hr}}[/tex] .

Now use the formula of time to obtain the drive time.

[tex]\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}[/tex]

Step 2:

Now we calculate the total time took by girl to reach the school.

  [tex]9:00-6:50={\text{2 hrs 10 min}}[/tex]

Now convert the timing into hours as,

[tex]\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}[/tex]

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

[tex]\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}[/tex]

Now solve the above equation by cross multiply method.

[tex]\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}[/tex]

Now simplify the further equation.

[tex]\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}[/tex]

Simplify the further equation.

[tex]\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}[/tex]

Therefore, the girl walked 5 miles.

Learn more:  

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

Answer:

5 miles

Step-by-step explanation:

Answer:

The answer is B, I just took the test.

Step-by-step explanation:

Answer:

hello there the answer is b hope this helps

Step-by-step explanation:

Hi there! :)

Answer:

$4.06 of taxes is added on an item that costs $56.00 is the sales tax rate is 7.25%.

Step-by-step explanation:

You are looking for 7.25% of $56.00

7.25% is the same thing as 7.25/100, which is the same thing as 7.25 ÷ 100

7.25 ÷ 100 = 0.0725

The word "of" is the same thing as a multiplication sign (×).

SO, 7.25% of $56.00 = 0.0725 × 56

0.0725 × 56 = 4.06 ⇒ YOUR ANSWER

There you go! I really hope this helped, if there's anything just let me know! :)

The tax on that item will be 4.06$.

A tax is a necessary fee or financial charge imposed by a government on an individual or an organization in order to raise funds for public works projects that provide the greatest services and infrastructure. The gathered funds are subsequently utilized to finance other government activities.

Given, The sales tax rate is 7.25%. for an item whose cost is 56.00$.

Tax added on that item  = 56* 7.25%

Tax added on that item  = 4.06$

Therefore, the total tax added on the item whose total value is 56 will be 4.06$.

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Answer:

1/2

Step-by-step explanation:

(4-2)

----------

2^2

The numerator is 4-2 = 2

The denominator is 2^2 = 4

2

------

4

1/2

Answer:

62 kg: A

Step-by-step explanation:

The black line is called line of best fit. This line shows the points plotted and how they compare to the predicted amounts. The reason why A is the correct answer is because all of the other blue points line up with the line of best fit. Since the point 62kg is NOT on the line of best fit, that is the point where experimental error may have occurred.

1) [tex]x+2=\sqrt{3x+10}[/tex]

Square both sides to get

[tex](x+2)^2=(\sqrt{3x+10})^2\implies x^2+4x+4=3x+10\implies x^2+x-6=0[/tex]

Factorize and solve:

[tex]x^2+x-6=(x+3)(x-2)=0\implies x=-3,x=2[/tex]

2) I assume we take [tex]\sqrt x[/tex] to be defined only for [tex]x\ge0[/tex]. Under this condition, a solution would be extraneous if [tex]\sqrt{3x+10}[/tex] is undefined, which happens if [tex]3x+10<0[/tex].

If [tex]x=-3[/tex], then [tex]3x+10=-9+10=1[/tex], so it is not extraneous.

If [tex]x=2[/tex], then [tex]3x+10=6+10=16[/tex], so it is not extraneous.

So there are not extraneous solutions to this equation.

3) Lots of information on this on the web...

The solution for the given equation is x=2. -3 is an extraneous solution caused by the squaring operation and it doesn't satisfy the original equation. An extraneous solution is a solution that does not satisfy the original equation.

To find the solution of the equation x+2=√(3x+10), we first square both sides to eliminate the square root: (x+2)2=3x+10.

This simplifies down to x2 + 4x + 4=3x+10. Rearranging terms then gives us x2 + x - 6=0. The solutions of this quadratic equation are x=2 and x=-3.

However, if we substitute x=-3 back into the original equation, it does not hold true. Thus, -3 is an extraneous solution. This extraneous solution arises in this case because we applied the squaring operation, which is not a reversible process. An extraneous solution, generally, is a solution to a transformed equation that does not satisfy the original equation.

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Answer:

[tex]13\frac{1}{3}[/tex] cups

Step-by-step explanation:

We are told that a recipe calls for one half cup of ingredient A for every 1 and two thirds cups of ingredient B.      

To find the number of cups of ingredient B we will use proportions.

[tex]1\frac{2}{3}=\frac{5}{3}[/tex]

[tex]\frac{\text{Number of cups of ingredient A}}{\text{Number of cups of ingredient B}} =\frac{\frac{1}{2}}{\frac{5}{3}}[/tex]

[tex]\frac{\text{Number of cups of ingredient A}}{\text{Number of cups of ingredient B}} =\frac{3}{10}[/tex]  

Now let us substitute our amount of Ingredient A =4 in our proportions.

[tex]\frac{4}{\text{Number of cups of ingredient B}} =\frac{3}{10}[/tex]

[tex]\frac{\text{Number of cups of ingredient B}}{4}=\frac{10}{3}[/tex]

Multiplying both sides of our equation by 4.

[tex]4*\frac{\text{Number of cups of ingredient B}}{4}=4*\frac{10}{3}[/tex]

[tex]\text{Number of cups of ingredient B}=\frac{40}{3}[/tex]

[tex]\text{Number of cups of ingredient B}=13\frac{1}{3}[/tex]

Therefore, we need [tex]13\frac{1}{3}[/tex] cups of ingredient B to make our recipe.

Answer:

Proportion states that the  two ratios are equal.

Given statement: A recipe calls for one half cup of ingredient A for every 1 and two thirds cups of ingredient B. You use 4 cups of ingredient A.

By using proportion definition to find ingredients B;

[tex]\frac{\frac{1}{2} }{1\frac{2}{3} } = \frac{4}{B}[/tex]

Simplify:

[tex]\frac{\frac{1}{2} }{\frac{5}{3}} = \frac{4}{B}[/tex]

By cross multiply we get;

[tex]B \cdot \frac{1}{2} = 4 \cdot \frac{5}{3}[/tex]

or

[tex]\frac{B}{2} = \frac{20}{3}[/tex]

Multiply both sides by 2 we get;

[tex]B = \frac{20}{3} \times 2 = \frac{40}{3} = 13\frac{1}{3}[/tex]

Therefore, [tex]13\frac{1}{3}[/tex] cups of ingredients B needs.

Answer:

.5 inches a month

Step-by-step explanation:

52 - 43 = 9 inches

9/18 = .5

Answer:

0.5 inches a month

Step-by-step explanation:

subtract 43 from 52 and divide that answer by 18

52-43=9 9÷18=0.5

please mark me brainliest

An3x=2x+1

subtract 2x from both sides

x=1 answer

Step-by-step explanation:

it will only take one day

Answer:

a * b^(n-1)

Step-by-step explanation:

I guessed and got it right :/

Answer: p(x) = steeper

               q(x) = less steep and reflection

               r(x) = reflection

Step-by-step explanation:

The parent graph is: f(x) = 1.5x³

p(x):  2 > 1.5 , so it is stretched (steeper).

p(x): coefficient has a positive sign, so it is NOT a reflection

q(x):  1  < 1.5 , so it is shrunk/compressed (less steep).

q(x): coefficient has a negative sign, so it is a reflection over x-axis

r(x): 1.5 = 1.5 so it is neither a stretch or a shrink

r(x): coefficient has a negative sign, so it is a reflection over x-axis

The graph of the function f(x) = 1.5x^3 has a steep increase or decrease, exhibits symmetry, and passes through the origin.

When comparing the graphs of different functions, it's important to analyze their key characteristics. In the case of the function f(x) = 1.5x^3, the graph will be a cubic function. Here are three significant differences between the graph of f(x) = 1.5x^3 and other functions:

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Answer:

The vertex form of the function is [tex]f(x)=(x-1)^2+3[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=4+x^2-2x[/tex]

The vertex form is

[tex]f(x)=(x-h)^2+k[/tex]

Rewrite the given function

[tex]f(x)=(x^2-2x)+4[/tex]

[tex]-\frac{b}{2a}=-\frac{-2}{2(1)}=1[/tex]

Add and Subtract [tex](-\frac{b}{2a})^2[/tex].

[tex]f(x)=(x^2-2x+1)+4-1[/tex]

Use [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex]f(x)=(x-1)^2+3[/tex]

Therefore the vertex form of the function is [tex]f(x)=(x-1)^2+3[/tex].

Answer: A on Edge 2020

Step-by-step explanation:

Answer:

The correct answer option is 42.6.

Step-by-step explanation:

We know that in a arithmetic sequence, [tex]a_{13}=1.9[/tex] and the common difference is [tex](d)=3.7[/tex].

The standard form of an arithmetic sequence is given by:

[tex]a_n=a_1+(n-1)d[/tex]

So we will substitute the given values in this formula to find the value of [tex]a_1[/tex].

[tex]a_{13}=a_1+(13-1)3.7[/tex]

[tex]1.9=a_1+(12)3.7[/tex]

[tex]1.9=a_1+44.4[/tex]

[tex]a_1=-42.5[/tex]

Now finding the 24th term"

[tex]S_{24}=a_1+(n-1)d\\\\S_{24}=-42.5+(24-1)3.7\\\\\\S_{24}=42.6[/tex].

Therefore, the 24th term of the given arithmetic sequence is 42.6.

Answer:

Just took this test the correct answer is 1.2

Answer:

Step-by-step explanation:

the answer is 26

Answer:

45 units^2

Step-by-step explanation:

Think of this polygon as being the combination of a rectangle and a triangle. The rectangle is at the bottom. It has length 9 and width 2.

The triangle is above it. Its base is also 9 like the rectangle's length. The height of the triangle is the segment from point (2, -1) to (2, 4). The length of the height is 6.

Now use the area formulas for a rectangle and a triangle to find the two areas and add them,

Rectangle: A = LW

Triangle: A = bh/2

Total area = LW + bh/2

Total area = 9 * 2 + 9 * 6/2

Total area = 18 + 54/2

Total area = 18 + 27

Total area = 45 units^2

Answer:

Correct choice is A

Step-by-step explanation:

If a function has an inverse, then there is at most one x-value for each y-value.

The tangent function is periodic with period [tex]\pi.[/tex] Hence, at each value for which [tex]f(x)=\tan x[/tex] is defined, [tex]f(x+n\pi )=\tan x[/tex] for each integer n. Therefore, the function [tex]f(x)=\tan x[/tex] does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form

[tex]\left((2k−1)\dfrac{\pi}{2},(2k+1)\dfrac{\pi}{2}\right)[/tex]

where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes [tex]x=(2k−1)\dfrac{\pi}{2}[/tex] and [tex]x=(2k+1)\dfrac{\pi}{2}.[/tex]

Answer:

The total number of people at the movie theatre is 700.

Step-by-step explanation:

Formula

[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]

As given

At the movie theatre 30% of the audience members were children.

If the number of children at the movie theatre was 210.

Percentage = 30%

Part value =  210

Put in the formula

[tex]30 = \frac{210\times 100}{Total\ value}[/tex]

[tex]Total\ value = \frac{21000}{30}[/tex]

Total value = 700

Therefore the total number of people at the movie theatre is 700.

Answer:

Red = 30 drops

Blue = 20 drops

Step-by-step explanation:

The ratio red to blue is 3 : 2

Sum of ratios = 3 + 2 = 5

Required purple paint = 50 gallons

So,

[tex]Multiplier = \frac{50}{5} = 10[/tex]

Now, Red drops = 3×10 = 30

Blue drops = 2×10 = 20

Answer:

Step-by-step

Start with a line segment connecting two points, A and B. [tex]\dfrac{DA}{BA}=3[/tex] means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with [tex]\dfrac{DB}{BA}=2[/tex], or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, [tex]\dfrac{AB}{CB}=\dfrac12[/tex], so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let [tex]d[/tex] be the length of AB. Then the length of CD in terms of [tex]d[/tex] is [tex]4d[/tex]. We have the coordinates of C and D, and the distance between them is [tex]\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2[/tex]. So

[tex]4d=4\sqrt2\implies d=\sqrt2[/tex]

The slope of the line through C and D is

[tex]\dfrac{0-4}{4-0}=-1[/tex]

and so the equation of the line through these points is

[tex]y-4=-(x-0)\implies x+y=4[/tex]

So the coordinates of A are [tex](x,y)=(x,4-x)[/tex]. The distance between C and A is [tex]d=\sqrt2[/tex], so we have

[tex]\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1[/tex]

Since A falls to the right of C (in the [tex]x,y[/tex] plane, not just in the sketch), we know to take the positive value [tex]x=1[/tex]. Then the [tex]y[/tex] coordinate is [tex]y=4-1=3[/tex].

All this to say that A is the point (1, 3), so

[tex]2x+y=2+3=5[/tex]

The value 2x + y of  is 5.

Start with a line segment connecting two points, A and B. [tex]\frac{DA}{BA} =3[/tex] means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with [tex]\frac{DB}{BA} =2[/tex], or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, [tex]\frac{AB}{CB} =\frac{1}{2}[/tex], so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let  be the length of AB. Then the length of CD in terms of  is . We have the coordinates of C and D, and the distance between them is

[tex]\sqrt{(4-0)^2+ (4-0)^2} =4\sqrt{2}[/tex]

So

4d= 4√2 = d= √2

The slope of the line through C and D is

[tex]\frac{0- 4}{4-0} = -1[/tex]

and so the equation of the line through these points is

y- 4 = -(x- 0) =x + y =0

So the coordinates of A are (x, y) = (x,4 -x). The distance between C and A is d= √2, so we have

[tex]\sqrt{(x-0)^2+(4- x - 4)^2} = \sqrt{2x^3} = |x| \sqrt{2} = \sqrt{2} = |x| = 1[/tex]

Since A falls to the right of C (in the x, y plane, not just in the sketch), we know to take the positive value . Then the  coordinate is .

All this to say that A is the point (1, 3), so 2x + y= 2+3=5

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Question

Let us have four distinct collinear points a, b, c, and d on the cartesian plane. the point c is such that [tex]\dfrac{ab}{cb} = \dfrac{1}{2}[/tex] and the point d is such that [tex]\dfrac{da}{ba} = 3[/tex] and [tex]\dfrac{db}{ba} = 2[/tex] c = (0, 4), d = (4, 0), and a = (x, y), what is the value of 2x + y?

There are 8 pints in 1 gallon, so 50×8 = 400 pints in 50 gallons.

400 × 3 red drops = 1200 red drops

400 × 2 blue drops = 800 blue drops

Answer:

From Online Buying is more suitable

The difference between per diaper price is $0.04

Step-by-step explanation:

Given:

56 diapers can be bought for $ 28

and

online 112 diapers for $ 52

TO find:

Better deal = ?

Per diaper save= ?

Solution:

Let the first type be x

Now for x

Price of 56 diapers are $ 28

Price of one diaper = [tex]\frac{28}{56}[/tex]

                                 =$0.5 / diaper

Now for online let it be represented by O

Price of 112 diapers are $52

Price of one diaper = [tex]\frac{52}{112}[/tex]

                                 =$0.46 / diaper

Price of one diaper from online is less then price of one diaper from we bought not online

Difference of per diaper price = 0.5 - 0.46

                                                  =$0.04

So buying diapers from online would be suitable

Answer:

m = 4√2

Step-by-step explanation:

This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.

So = 8 / √2

= 8 *√2 / 2

= 4√2

Answer:

the first one is 371 and the second one is 46

Step-by-step explanation:

Answer:

side of the octagon = 46.38 mm

Perimeter of the octagon = 371.04 mm

Step-by-step explanation:

Area of octagon = 10,391.9 mm²

But, area of octagon is given by the formula = 2(1 + √2)side²

⇒ 2(1 + √2)side² = 10391.9

⇒ 4.83 × side² = 10391.9

⇒ side² = 2151.53

⇒ side of the octagon = 46.38 mm

Perimeter of the octagon = 8 × side

⇒ Perimeter of the octagon = 8 × 46.38

⇒ Perimeter of the octagon = 371.04 mm

Answer:

-60 3/4m

Step-by-step explanation:

The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.

-50-10=-60

-(1/4)-(1/2)= (1/4)+(1/2)

(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.

=6/8 (simplifies down to 3/4)

She saves $100.She saves 10% more.They want to know how much they will save after 6 months. Multiply 10% by 6months and you get 60%.Then you multiply the answer of .60 (60%) by 100 and you get 60. Lastly, since you wanna know how much you saved,subtract $100-60 and your final answer you get is that she saves $40.Hope that helped!

Answer:

a. 0.2981

Step-by-step explanation:

We are told that the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

Let us find z-score for 260 days.

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

[tex]x[/tex] = Sample score,

[tex]\mu[/tex] = Mean  

[tex]\sigma[/tex] = Standard deviation.

Upon substituting our given values in z-score formula we will get,

[tex]z=\frac{260-268}{15}[/tex]    

[tex]z=\frac{-8}{15}[/tex]  

[tex]z=-0.53[/tex]  

Now we will use normal distribution table to find the area that corresponds to z-score of -0.53.  

From normal distribution table we get 0.29806 as our answer. Upon rounding our answer to four decimal places we will get 0.2981 as our answer.

Therefore, probability of selecting the woman whose length of pregnancy is less than 260 days will be 0.2981 and option a is the correct choice.

Answer:

After 15 month of membership, Brian will pay $164.5 and Seth will pay $100.

Step-by-step explanation:

Brian

y=9.50(15)+22

y=142.5+22

y=164.5

Seth

(15,100)

Answer:

y=6x+1

Step-by-step explanation:

First you must find the slope of the two points...

[tex]\frac{4--3}{-23-19}[/tex] which then would equal 6

Then you take the slope and put into point-slope form

(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.

so I used (-3,19).

(y-19)=6(x--3)

I would then get y-19=6x+18

Add 19 to both sides and you will get y=6x+1