in six months the membership at a fitness center went from 3,500 to 4,200. what was the percent of increase in the membership?
A:10%
B:15%
C:20%
D:16 out of 2 over 3%

please show work thank you!

4x+10 >= 11

4x+10-10 >= 11-10 .... subtract 10 from both sides

4x >= 1

4x/4 >= 1/4 .... divide both sides by 4

x >= 1/4

x >= 0.25

This means  x must be 0.25 or larger. The next integer closest to 0.25, that is above 0.25, is the value 1.

So x = 1 is the smallest integer solution possible.

5.5 because it much larger and faster

i believe Courtney would win because she is going furthest per cm/minute

Answer:

answer is 77

Step-by-step explanation:

The required, based on the provided information and the properties of parallel lines and transversals, the angle ∠7 measures 77° as well.

In the given scenario, it is stated that line m and line n are parallel lines, and they intersect at a point when a transversal line is introduced. This situation is depicted in the accompanying figure.

Within this configuration, Angle ∠2 is measured to be 77°, and it is situated opposite Angle ∠4. Due to the nature of parallel lines and transversals, corresponding angles are congruent. Consequently, the measure of ∠7, which corresponds to ∠2, will also be 77°.

Therefore, based on the provided information and the properties of parallel lines and transversals, we can ascertain that angle ∠7 measures 77° as well.

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A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true.

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5   [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3

So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.

74.7° C

90° - 74° + 58.7° = 74.7° C

Rebecca's tea was 74.7°C at the point of drinking after cooling and reheating.

Rebecca's tea started at a temperature of 90°C. After leaving it to cool for 20 minutes, its temperature dropped by 74°C, so the new temperature was

90°C - 74°C = 16°C.

When she reheated the tea in the microwave, the temperature increased by 58.7°C, resulting in a final drinking temperature of

16°C + 58.7°C = 74.7°C.

the change will be 1.50 because 7.50 minus 9.00 is 1.50

The percent change between $7.50 and $9.00 is calculated by subtracting the initial value from the final value, dividing that by the initial value, and multiplying by 100%. This results in a percent change of 20%.

The percent change between two values is calculated by subtracting the initial value from the final value, dividing the result by the initial value, and then multiplying by 100%. In your case, you want to find the percent change between $7.50 and $9.00.

Start by subtracting the initial value ($7.50) from the final value ($9.00). This gives us $1.50.

Then, divide $1.50 by the initial value ($7.50), giving us 0.2.

Finally, multiply 0.2 by 100% to get the percent change, which is 20%. So the percent change between $7.50 and $9.00 is 20%.

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jackie brought 3/4 gallon of ice tea to a party

bill brought 7/8 of a gallon of ice tea to party.

To find total gallons of ice tea they hav[tex]\frac{3}{4} + \frac{7}{8}[/tex]e, we add the fractions

[tex]\frac{3}{4} + \frac{7}{8}[/tex]

To add two fractions , we make the denominators same

[tex]\frac{3*2}{4*2} + \frac{7}{8}[/tex]

[tex]\frac{6}{8} + \frac{7}{8}[/tex]

Now add the numerators

[tex]\frac{13}{8}[/tex]

So, They have [tex]1\frac{5}{8}[/tex] gallons of ice tea.

n = 8

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n )} }{1-r}[/tex]

where a is the first term and r the common ratio

here a = 16 and r = [tex]\frac{64}{-32}[/tex] = [tex]\frac{-32}{16}[/tex] = - 2

[tex]S_{n}[/tex] = ( 16( 1 - ( - 2 )^n )/1 - (- 2 )) = - 1360

[tex]\frac{16}{3}[/tex] ( 1 - (- 2 )^n ) = - 1360

multiply both sides by [tex]\frac{3}{16}[/tex]

1 - (- 2 )^n = - 255

- (- 2 )^n = - 256

)-2)^n = 256

note that [tex]2^{8}[/tex] and [tex](-2)^{8}[/tex] = 256

hence n = 8

2.4×10¹¹=240000000000

8×10'9= 8000000000

240000000000÷8000000000=30

so A is ×30 greater that B

The square is either 25 or 16.

Number puzzles have specific set of rules, you first has to figure out the pattern being followed and then answer the puzzle according to the pattern.

According to question,

the sum of two digits must be 7.

Take some instances,

where 16 is a square of 4.

where 25 is square of 5.

where either 34 or 43 both are not the perfect square of any number.

The possibilities of a number can be either 16 or 25.

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Answer:

y=9x+1.6

This is the right answer but there are slightly different equations similar

1/30 simplified your welcome for the help

is it multiple choice

Two consecutive odd numbers are 71 and 73 such that their sum is 144.

Continually following one another in a regular counting order or in the order of smallest to greatest are numbers known as consecutive numbers.

Let first odd number is x

then second consecutive odd number will be x+2

Given that the sum is 144

So,

x+(x+2)=144

On solving and adding like terms

2x+2=144

On subtracting 2 both sides

2x+2-2=144-2

2x=142

On dividing 2 both sides

x=142/2

x=71

Thus, two consecutive odd numbers are 71 and 73.

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Aswer:  9 /  4  sqrt 3

Solution:

Perimeter: P=9 inch

Area: A=?

A=(1/4) sqrt(3) L^2

Side of the triangle: L

We need the side "L" of the triangle:

We know: P=3 L

Replacing the perimeter in the equation above:

9 inch=3 L

Solving for L: Dividing both sides of the equation above by 3:

(9 inch) / 3 = 3 L /3

3 inch = L

L = 3 inch

Replacing L=3 inch in the formula of Area:

A=(1/4) sqrt(3) L^2

A=(1/4) sqrt(3) (3 inch)^2

Squaring:

A=(1/4) sqrt(3) (9 inch^2)

Multiplying:

A=(1*9)/4 sqrt(3) inch^2

A=9/4 sqrt(3) inch^2

Answer:

9√3/4

or

9/4√3

Step-by-step explanation:

P=3a=9⇒a=3 inches.

The area of the equialteral triangle is

A=\dfrac{a^2\sqrt{3}}{4}=\dfrac{3^2\sqrt{3}}{4}=\dfrac{9\sqrt{3}}{4}\ \text{sq. in}.A=4a23=4323=493 sq. in.

If you cancel out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b)

To solve the equation 5a/x = 5b/(x-1) for x, multiply both sides of the equation by x(x-1) to clear the fractions. Simplify and solve for x by isolating it on one side of the equation.

To solve the equation 5a/x = 5b/(x-1) for x, we need to clear the fractions by multiplying both sides of the equation by the common denominator, x(x-1). This gives us 5a(x-1) = 5bx. Expanding the equation, we get 5ax - 5a = 5bx. Rearranging the terms, we have 5ax - 5bx = 5a. Factoring out x, we get x(5a-5b) = 5a. Finally, dividing both sides by (5a-5b), we can solve for x as x = 5a/(5a-5b).

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[tex]-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7[/tex]

Answer:

  x  <  6.4  

Step-by-step explanation:

given,

       -8 - 5 x + 2 > -38

           - 5 x - 6 > -38

adding both side by 6

           - 5 x - 6 + 6  > -38 + 6

             - 5 x  > -32

multiplying both side by (-1)

                5 x  <  32        

on multiplying by negative sign the inequality direction changes

                  x  <  6.4  

the graph is shown in the figure attached below. the shaded region shows the required area.

Answer: A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.

Step-by-step explanation:

Law of Syllogism which is also known as reasoning by transitivity is a valid argument method of a deductive reasoning that follows a sequence.

Its similar to the transitive property of equality, which states that if a=b and b=c then a=c

The given statement :  If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.

let a →" two lines meet at a 90 angle"

b→ "two lines are perpendicular are perpendicular"

c→" two lines have opposite reciprocal slopes"

Since a→b and b→c

Therefore by law of syllogism, a→c

i.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

it is b i know it -5-5=0

Final answer:

The correct expression to find the temperature difference between the low and high temperatures when the temperature rose as much above zero as it was below zero is 5 + 5 degrees, which equals 10 degrees in total.

Explanation:

The question involves finding the difference in temperature from a low of -5 degrees Fahrenheit to a high that is as many degrees above zero as the low was below zero. To calculate the difference, we consider the increase in temperature from the low to 0 degrees, which is 5 degrees, and then the additional increase to the high temperature, which is also 5 degrees above zero. Therefore, the total change in temperature is 5 degrees (to get to zero) plus another 5 degrees (to reach the high), totaling 10 degrees.

The correct expression to find the number of degrees between the low and high temperatures would be C. 5 + 5, representing the increase from -5 degrees to 0, and from 0 to +5 degrees, respectively.

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and neede 5 more

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and needs 5 more in order to get the next

Please mark brainiest

Given the radius [tex] r [/tex], the volume of a sphere is

[tex] \dfrac{4}{3}\pi r^3[/tex]

So, in your case, the volume is

[tex] \dfrac{4}{3}\cdot 7^3 \pi= \dfrac{1372}{3}\pi \approx 1436.7550402[/tex]

So, the closest option is 1436.8 cm3

Hey there!!

The volume of a sphere =

... [tex]\frac{4}{3} \pi r^{3}[/tex]

'r' is the radius.

The radius is given by 7 in.

The volume =

... [tex]\frac{4}{3} \pi 7^{3}[/tex]

... [tex]\frac{4}{3}(3.14)(343)[/tex]

... [tex]\frac{4}{3}(1077.02)[/tex]

... [tex]4(359.19)[/tex]

... [tex]1436.76[/tex]

Hence, the volume is 1436.8 cm³ as stated in option(B)

Hope my answer helps!

Let P = Pecan trees and H = Hazelnut trees.

Multiply the number of acres of each by the number of pounds of each acre:

45 pounds per acre of Pecan trees would be 45p

25 pounds per acre of hazelnut trees would be 25h

You would then add those together to get the total pounds of nuts:

45p + 25h = 900

The answer would be D, 45p + 25h = 900

150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours

It will fly 150 in 5 hours

Answer:

The answer is Timing Difference  

Explanation:

Timing distinction is the idea of the bookkeeping that happens because of the change issues. The planning contrast is the term that is amazingly utilized in the money related announcing or tax collection purposes. The technique for computation of the devaluation is distinctive in both monetary bookkeeping and tax collection. Timing contrasts definition. Transitory contrasts between the detailing of an income or cost for budgetary explanations (books) and the revealing of the thing for money impose reason.

365064.96 thats what i got hope it helps

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.

b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

ISS completes 21,900 orbits around the Earth in four years.

To calculate how many times the International Space Station (ISS) orbits the Earth in 4 years, we would set up a column addition problem where we add the number of orbits per year 5475 times for each of the four years. Here is the problem set up for column addition:

 5475
+ 5475
+ 5475
+ 5475
------

When we add these numbers, the total will give us the number of orbits completed in four years.

The addition is as follows:

 5475
+ 5475
+ 5475
+ 5475
------
21900

Therefore, the ISS completes 21,900 orbits around the Earth in four years.

Answer:

16π cm^2

Step-by-step explanation:

circumference of a circle = 2 * radius * π = 8π cm

so radius = 4 cm

area of a circle = radius * radius * π

= 4 * 4 * π

= 16π cm^2

Answer:

ans is 16pi cm2

Step-by-step explanation:

Circumference = Dia x pi = 8pi

Dia = 8

Area = Dia^2 x pi / 4 = 8^2 x pi / 4 =64 x pi /4

= 16pi

You need to show the pictures for us to answer.