Jake joins a soccer club. There is a registration fee of $35 dollars, and a charge of $60 a month. If m is the number of months that Jake plays in the club and c is the total amount he pays, write an equation to represent the relationship between c and m?

whats the answer??

Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

The solution to the system of equation is (4.75, -11)

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

add equation(i) to equation(ii)

Therefore,

1.6x = 7.6

divide both sides by 1.6

x = 7.6 / 1.6

x = 4.75

Therefore,

3.2(4.75) + 0.5y = 4.2

0.5y = 4.2 - 15.2

0.5y = -11

y = - 11 / 0.5

y = - 22

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Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer:

If yo translate ABC down 5 units and to the right 2 units, it coincides with GHI.

Step-by-step explanation:

You just have to follow the directions

Answer+Step-by-step explanation:

1)

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

                  [tex]=x^{2}+4x + 4 - 3[/tex]

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

then

[tex]x^{2}+4x+1=0[/tex]

[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]

[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]

2)

[tex]\left( x+2\right)^{2} =3[/tex]

⇔ |x + 2| = √3

⇔ x + 2 = √3 or x + 2 = -√3

⇔ x + 2 = ±√3

⇔ x = -2 ± √3

The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing

The given parameters are:

The error margin is calculated using:

[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]

Where z is the critical value.

At 95% confidence level, the critical value is:

z = 1.96

So, we have:

[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]

Evaluate

[tex]E = 1.96 * \sqrt{0.002475}[/tex]

Evaluate

E = 0.0975

Hence, the error margin is 0.0975

This is calculated using:

I = p ± E

So, we have:

I = 0.55 ± 0.0975

Expand

I = (0.55 - 0.0975, 0.55 + 0.0975)

Evaluate

I = (0.4525, 0.6475)

Express as percentage

I = (45.25%, 64.75%)

Hence, the interval estimate for the true population proportion is 45.25% to 64.75%

From the simulation,

The values are approximately the interval estimates.

i.e.

45.25% ≈ 45% and 64.75% ≈ 65%

Hence, we can conclude that the majority of the community supports water rationing

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Answer:

10

Step-by-step explanation:

Square root of 74 is 8.6.

Using the pythagoras theorem,

7²+x²(half)=8.6²

49+x²(half)=74

x²=25, x=5

Now we found the half of x, we are going to add the other side which is 5+5=10

Answer:

C

Step-by-step explanation:

To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.

The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

The points are given as:

Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)

The rule of rotation around the origin counterclockwise by 90 degrees is

(x,y) => (-y,x)

Using the above rule, we have:

Z' = (4,-1)

Y' = (2,0)

X' = (0,4)

W' = (4,3)

Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

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Answer:

[tex]3\sqrt5[/tex]

Step-by-step explanation:

The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

so, [tex]3^2+6^2=c^2[/tex]

9 + 36 = 45

[tex]\sqrt45=\sqrt{c^2}[/tex]

c = [tex]3\sqrt5[/tex]

Answer:

the correct answer is 2nd hope this will help u i have find the value of x also hope it will help

Step-by-step explanation:

[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]

Answer:

The solution is in the image

Answer:

the top answear

Step-by-step explanation:

the top aka 16^15/5 it should be 16^15 not that 5

Answer:

The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.

This should have been done instead:

                                     [tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵

                                           = 6¹⁰

Hope this helps!

It is a pythagorean triple.

The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.

Let's suppose the total minutes of uses for cell phone is x

and total minutes of uses of for tablet is y

Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.

Then total minutes will be:

x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)

And total cost = $450

0.10x + 0.15y ≤ $450

Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

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Answer:

6.6 ft

Step-by-step explanation:

The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].

In this case, the base b equals the height h.

[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]

Given: A = 22 ft²

[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]

Answer:

why don't u send the pictures so I can help u out

The model could be improved by using a step function.

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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boat speed= 8 m/s

river current= 5 m/s

the resultant speed of the motorboat rounded to the nearest 10.

use pythagorean theorem.

let the unknown be "x".

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]x = \sqrt{ {8}^{2} + {5}^{2} } [/tex]

[tex]x = \sqrt{64 + 25} [/tex]

[tex]x = 9.4 \: m |s[/tex]

hence, the resultant speed of the motorboat is 9.4 m/s

Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.

In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.

First we will find the radius of the sphere

We know,

[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]

Substituting the values we get

[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]

[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]

Now we will calculate the volume of the sphere

We know,

[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]

Where,

Substituting the values we get

[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]

[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]

[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]

[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]

Hence the volume of the sphere is 66.98 cm³.

[tex] \underline{\rule{71mm}{4pt}}[/tex]

Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

The volume of the square pyramid will be equal to V = 648 square centimetres.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Given that:-

The volume will be calculated as:-

V = L  x  W  x  H

V = 9  x   9  x  8

V = 648 square centimters.

Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.

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Answer:

An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.

Answer:

D. Ray

Step-by-step explanation:

Point: A dot in an exact location or position on a plane surface.

Line: A straight line that goes on infinitely in both directions and has no endpoints.

Line segment: A line between two points on each end.

Ray: A line with one endpoint and extends in one direction infinitely.

If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation

BN/BQ = AN/AB = AB/AQ

Now

AN/AB = AB/AQ   ⇒   AQ = AB²/AN = 36/AN

and

BN/BQ = AN/AB   ⇒   BQ = (BN • AB)/AN =  6 • BN/AN

where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.

Answer: 48 feet

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Containers are generally in the shape of a rectangular prism.

Formula

Answer: D

Step-by-step explanation:

The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.

Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.

Given:

The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.

The scatter plot is given in the attached image.

Highest college GPAs are  4, 3.5, 2 and so on.

And their respective high school GPAs are 2, 4, 3.25 and so on.

That means, students with higher high school GPAs have lower college GPAs.

Let students with lower high school GPAs repeat their performance and get low college GPAs.

But here a student has GPA 2 in high school and 4 GPA in college.

That gives us contradiction.

There is one exception, with college GPA as 4 and HS GPA as 2.

All other points show that a lower college GPA could result in lower HS GPA.

Therefore, the correct answer is option D.

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