Camille has no more than $20.00 to spend each week for lunch and bus
fare. Lunch costs $3.00 each day, and bus fare is $0.75 each ride. Write an inequality for
this situation. Can Camille buy lunch 5 times and ride the bus 8 times in one week?

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

learn more on angles here:https://brainly.com/question/25779160

#SPJ1

Answer:

y = 2x + 10

Step-by-step explanation:

Hi there!

We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope (m) of the line

The slope can be calculated from 2 points using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes

\(x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2\)

Substitute these values into the formula (note: remember that the formula has subtraction in it!)

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-2--4}{-6--7}\)

Simplify

m=\(\frac{-2+4}{-6+7}\)

Add the numbers

m=\(\frac{2}{1}\)

Divide

m=2

The slope of the line is 2

We can substitute that in:

y = 2x + b

Now we need to find b

As the equation passes through both  (-7,-4) and (-6,-2), we can use either point to help solve for b

Taking (-6, -2) for example:

Substitute -6 as x and -2 as y into the equation.

-2 = 2(-6) + b

Multiply

-2 = -12 + b

Add 12 to both sides

-2 = -12 + b

+12  +12

___________

10 = b

Substitute 10 as b.

y = 2x + 10

Hope this helps!

Topic: Finding the equation of a line

See more on this topic here: https://brainly.com/question/27319082

Using Venn sets, the number of elements in the sets are given as follows:

For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.

For the set A, we have that:

Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.

For the set B, we have that:

In total, there are 31 elements, of which:

31 - 31 = 0, hence set B has only 1 element, that is also present in set C.

For the set C, we have that:

Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.

More can be learned about Venn sets at brainly.com/question/24388608

#SPJ1

Answer:

what? I don't understand what your trying to say

Step-by-step explanation:

The attachment above is a table summarizing everything.

so the answer should be - 0.5

Answer:

4.083g

Step-by-step explanation:

12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years

Starting with half life, we want to find k.

In a 4 year period, t=8 and A quantity will be reduced to (1/2)*A.

(1/2)= e^k8

In(1/2)

Answer:

Is this from VLA in ohio? Which school do you go to?

Answer:

depends on the options

Step-by-step explanation:

a parallel line would be y = 1/2x + b, where b is any number

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

\(S'(t)=-24^{1/3}\) SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given \(S'(t)=-24^{1/3}\) ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from \(S'(t)=-24^{1/3}\)

\(\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\\)

On Integrating both sides

\(S(t)=-18t^{4/3}+c ~...~...~(2)\)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\(\therefore\)from eq (2)

\(S(t)=-18t^{4/3}+1200 ~...~...~(3)\)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) \(300=-18t^{4/3}+1200\)

\(t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030\)

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

Answer:

  2082.12 was the total invested

Step-by-step explanation:

Let x represent the amount invested at 14%. Then the amount invested at 12% was (x-580). The total accumulated amount was ...

  112%(x -580) +114%(x) = 2358.60

  2.26x -649.60 = 2358.60

  2.26x = 3008.20 . . . add 649.60

  x = 1331.06 . . . . . . divide by 2.26

  x -580 = 751.06

The total invested was 1331.06 +751.06 = 2082.12 cedis.

__

Check

The investment at 12% was 751.06, so the accumulated amount of that investment was 751.06×1.12 = 841.19.

The investment at 14% was 1331.06, so the accumulated amount of that investment as 1331.06×1.14 = 1517.41.

The accumulated total amount was 841.19 +1517.41 = 2358.60.

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

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

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

Learn more about trigonometric functions here:

https://brainly.com/question/14746686

#SPJ1

Answer:

Step-by-step explanation:

(u + 6)² =

u² + 36 + 12u

Answer:

\(u^2+12u+36\)

Step-by-step explanation:

\(\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}\)

Answer:

could I have a picture of the line

Answer:

secondary sources cause that what makes them

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = \(\frac{0-9}{9-0}\) = \(\frac{-9}{9}\) = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer:

x = 7

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{AC}{XZ}\) = \(\frac{BC}{YZ}\) ( substitute values )

\(\frac{12x-63}{7x-14}\) = \(\frac{6}{10}\) = \(\frac{3}{5}\) ( cross- multiply )

5(12x - 63) = 3(7x - 14) ← distribute parenthesis

60x - 315 = 21x - 42 ( subtract 21x from both sides )

39x - 315 = - 42 ( add 315 to both sides )

39x = 273 ( divide both sides by 39 )

x = 7

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

The area and perimeter of 2D shape of Rectangle is 6.8448cm and 11.04cm repectively. The area and perimeter of 2D shape of circle is 5.0761cm and 8.0028cm respectively.

2D shape of Rectangle with dimensions of Length is3.72 cm and Width is 1.84 cm. we can find the area of rectangle with formula Area = length x width and the formula of perimeter is Perimeter = 2(length + width).

Area = length x width = 3.72 cm x 1.84 cm = 6.8448 square cm (rounded to four decimal places)

Perimeter = 2(length + width) = 2(3.72 cm + 1.84 cm) = 11.04 cm

2D shape of Circle with dimension of diameter of 2.54 cm. we can find the area with formula Area = πr^2 and circumference with formula Circumference = 2πr

Radius = diameter / 2 = 2.54 cm / 2 = 1.27 cm

Area = πr^2 = π(1.27 cm)^2 = 5.0761 square cm (rounded to four decimal places)

Circumference = 2πr = 2π(1.27 cm) = 8.0028 cm (rounded to four decimal places)

To know more about 2D shapes.

https://brainly.com/question/18719120

#SPJ4

____The given question is incomplete, the complete question is given below:

Calculating area and circumference or perimeter of a 2D shape. Use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle. Rectangle Length: 3.72 cm Width: 1.84 cm  Circle : 2.54 cm Diameter of circle

Answer:

\(\boxed {\tt \$15.75 \ per \ hour}\)

Step-by-step explanation:

We want to find Jean's hourly pay rate. In other words, his pay per hour.

We can find the pay rate by dividing the money he is paid by the number of hours worked.

\(pay \ rate =\frac{money \ paid }{hours}\)

He is paid $630 for 40 hours.

\(money \ paid= $630 \\hours= 40\ hours\)

\(pay \ rate = \frac{\$630}{40\ hours}\)

Divide.

\(pay\ rate = \$15.75 / hour\)

His hourly pay rate is $15.75 per hour.

Answer:

reste 10 de r, luego reste 4

Step-by-step explanation:Lets say the result is x x is a letter driving from spain so x=Spanish so translating that sentence to spanish is easy

Answer:

-r+6

Step-by-step explanation:

Answer:

B is the answer

Answer:

130 cm^2

Step-by-step explanation:

split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.

4x5 = 20

11x10=110

20+110 = 130 cm^2

Answer:

y = (5/3)x + 4

Step-by-step explanation:

-5x + 3y = 12 (What you start with)

3y = 12 + 5x (Adding 5x to both sides)

y = (5/3)x + 4 (Dividing the equation by 3)

a) To calculate SSTr, we need to first find the overall mean of the samples and then use it to calculate the sum of squares due to treatments (SSTr).

The overall mean of the samples can be found by adding up all the sample means and dividing by the number of samples:

Overall mean = (650 + 750 + 700 + 650) / 4 = 687.5

Next, we can calculate SSTr using the formula:

SSTr = n * (sample mean - overall mean)^2

where n is the number of observations in each sample. In this case, n = 5 for each sample.

So for the first sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5

For the second sample, SSTr = 5 * (750 - 687.5)^2 = 14062.5

For the third sample, SSTr = 5 * (700 - 687.5)^2 = 3062.5

For the fourth sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5

Therefore, the total SSTr is:

SSTr = 5362.5 + 14062.5 + 3062.5 + 5362.5 = 27750

b) The degrees of freedom (df) for SSTr is k-1 where k is the number of groups/populations, and df for SSE is N-k where N is the total number of observations.

df(SSTr) = k - 1 = 5 - 1 = 4

df(SSE) = N - k = 20 - 5 = 15

The mean square for treatments (MSTr) is calculated as:

MSTr = SSTr / df(SSTr) = 12 / 4 = 3

The mean square for error (MSE) is calculated as:

MSE = SSE / df(SSE) = (20 - 5) / 15 = 1

Finally, we can calculate the F-test statistic as:

F = MSTr / MSE = 3 / 1 = 3

Therefore, the MSTr is 3, the MSE is 1, and the F-test statistic is 3.

Visit here to learn more about mean brainly.com/question/31101410

#SPJ11

Answer:

6

Step-by-step explanation:

substitute x = 2 into f(x) , that is

f(2) = 2(2) + \(\frac{1}{2}\) (2)² = 4 + \(\frac{1}{2}\) (4) = 4 + 2 = 6

Explanation

Step 1

we have the recursive formula

A recursive formula is a formula that defines each term of a sequence using the preceding term(s), we can see in the formula that the new term ( f(n)) equals the previous term minus 2

so

and so on,

Now for n=3

for n=4

so, the answer is

D) 17,15,13,11

I hope this helps you

Answer:

54.7

Step-by-step explanation:

all you have to do id divide 136.75 by 2.5

Hope tis helps

Answer:

5 walnuts = 4 cups of pecans

8 walnuts = 9 cups of pecans

Answer:

10 cups of pecans.

Step-by-step explanation:

The ratio between pecans and walnuts are:   \(\frac{4}{5}\)×8

So if we make a smaller batch with 1 cup of walnuts, we will need \(\frac{4}{5}\) cup of pecans.

So for 8 cups of walnuts, we will need \(\frac{4}{5}\) x 8 = 6,4 cups or \(6 \frac{2}{5}\) cups of pecans.

I'm vietanh and good luck studying!

Answer:

-8 < 8

Step-by-step explanation:

-8 is less than 0 so it is definitely less than 8

Hope this helped :)

Answer:

24sq.ft

Step-by-step explanation:

Here,

→Base = 6ft, Height = 4ft

→ 6*4ft

→24sq.ft

Please mark me as brainliest

Answer:

17 years old.

Step-by-step explanation:

5 years than 3 times can be represented as 5*3.

5*3=15.

If Eva is 2, and Bill is 15 years older, 2+15=17.

Therefore, Bill is 17 years of age.