the pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.

Answer:

[tex]5.3\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]A=\$9,000\\ P=\$6,500\\ r=0.0625\\n=2[/tex]  

substitute in the formula above  and solve for t

[tex]9,000=6,500(1+\frac{0.0625}{2})^{2t}[/tex]  

[tex]1.38462=(1.03125)^{2t}[/tex]  

applying log both sides

[tex]log(1.38462)=(2t)log(1.03125)[/tex]  

[tex]t=log(1.38462)/2log(1.03125)=5.3\ years[/tex]  

Answer: 14.4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

divide the miles by the time

283 divided by 5 is 56.6 which is the greatest so it is the fastest

Answer:

[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 24in, then the radius r = (24in) : 2 = 12in.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(12)^2=144\pi\ in^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]

Final answer:

The area of a bicycle wheel with a diameter of 24 inches can be calculated using the formula A = πr² and is approximately 452.16 square inches.

Explanation:

To calculate the area of a bicycle wheel with a diameter of 24 inches, we first need to find the radius of the wheel. The radius is half of the diameter, so in this case, the radius is 12 inches. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. Substituting the known radius into the formula, we find:

A = π * (12 inches)² = π * 144 inches² ≈ 3.14 * 144 inches² = 452.16 square inches

Therefore, the area of the bicycle wheel is approximately 452.16 square inches.

Answer:

.5/q+4

Step-by-step explanation:

➷ 8) (10 x 15) / 2 = 75

(this is the area of the whole shape, including the non shaded part)

Now work out the area of the non shaded part:

(6 x 9) / 2 = 27

Subtract this area from the total area:

75 - 27 = 48

The area of the shaded part is 48 square yards

9) Find the area of the whole shape (including the non shaded parts)

13 x 7 = 91

Work out the areas of both non shaded regions:

4 x 3 = 12

2 x 1 = 2

Add these two values together:

12 + 2 = 14

Subtract this value from the total area:

91 - 14 = 77

The area of the shaded part is 77 cm^2

➶ Hope This Helps You!

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➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

do what you want

Step-by-step explanation:

Answer

Maybe you can ask a good question that can help you?

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

[tex]\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95[/tex]

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

Answer:

[tex]\large{60^o\to\dfrac{19\pi}{3}\\\\288^o\to\dfrac{18\pi}{5}\\\\315^o\to\dfrac{23\pi}{4}\\\\80^o\to\dfrac{22\pi}{9}}[/tex]

Step-by-step explanation:

[tex]\text{The formula of conversion of degrees to radians:}\ \dfrac{\theta \pi}{180}\\\\360^o=2\pi\\\\60^o=\dfrac{60\pi}{180}=\dfrac{\pi}{3}\qquad\dfrac{19\pi}{3}=6\pi+\dfrac{\pi}{3}=\dfrac{\pi}{3}\\\\288^o=\dfrac{288\pi}{180}=\dfrac{8\pi}{5}\qquad\dfrac{18\pi}{5}=2\pi+\dfrac{8\pi}{5}=\dfrac{8\pi}{5}\\\\315^o=\dfrac{315\pi}{180}=\dfrac{7\pi}{4}\qquad\dfrac{23\pi}{4}=4\pi+\dfrac{7\pi}{4}=\dfrac{7\pi}{4}\\\\80^o=\dfrac{80\pi}{180}=\dfrac{4\pi}{9}\qquad\dfrac{22\pi}{9}=2\pi+\dfrac{4\pi}{9}=\dfrac{4\pi}{9}[/tex]

Answer:

Step-by-step explanation:

To take a radian measure that is over 2π (360°), to an equivalent measure that is less than 2π, subtract intervals of 2π until the value is where you want it.

(23π)/4 - 2π =  (23π)/4 - (8π)/4 = 15π/4

This is still more than 2π, so subtract another 2π...

(15π)/4 - 2π = (15π)/4 - (8π/4) = (7π)/4

This is less than 2π, so stop here...

following similar steps on the other 3 given radian measures give you...

(18π)/5 = (8π)/5

(22π)/9 = (4π)/9

(19π)/3 = π/3

To convert from degrees to radians, multiply the degree measure by π/180°

We have

60°(π/180°) = (60°π)/180° = π/3

288°(π/180°) = (288°π)/180° = (8π)/5

315°(π/180°) = (315°π)/180° = (7π)/4

80°(π/180°) = (80°π)/180° = (4π)/9

Add everything up together it equals 6/10 in simplest form it would be 3/5

Answer:

The answer is B. 10.5 feet

Step-by-step explanation:

In every one yard there's three feet.

3.5 X 3 = 10.5

Hope this helps :)

Answer:

$4.99

Step-by-step explanation:

If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99

The cost in dollars and cents for each pair of socks is $4.99

The first step is to determine the total cost of the three pairs of socks

Total cost of the socks bought = amount paid - change received

$20 - $5.03 = $14.97

The second step is to determine the cost of each pair of socks

Cost of each pair of socks = total cost of socks / pairs bought

$14.97 / 3 = $4.99

A similar question was solved here: https://brainly.com/question/19823543?referrer=searchResults

DOMAIN: -\infty \:<x<\infty    

RANGE: f(x) < or equal to 8

Step-by-step explanation:

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

Answer:

the third graph

Step-by-step explanation:

put the equation into the app desmos and you'll see where the graph should be

hope this helps!!

Answer:

B

Step-by-step explanation:

For an easier way to see this problem, let's rearrange the given equation in slope-intercept form ([tex]y=mx+b[/tex]):

[tex]-2y=-3x+6[/tex]

[tex]y=\frac{3}{2}x-3[/tex]

We know in slope-intercept form, the [tex]b[/tex] in the equation is the y-intercept. By process of elemination, we can see that the only answer that crosses at [tex](0, -3)[/tex] is answer B.

Answer:

Its the point (3, 2).

Step-by-step explanation:

x^2 + y^2 = 13

2x - y = 4

From  the second equation  y = 2x - 4 so substituting in first equation:

x^2 + (2x - 4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

5x^2 - 16x + 3 = 0

(5x - 1 )(x - 3) = 0

x = 0.2, 3.

Substitute x = 3 in the second equation:

2(3) - y = 4

y = 6 - 4 = 2.

Answer: OPTION C (119π cm²)

Step-by-step explanation:

Yon can use the following formula for calculate the surface area of a cone:

[tex]SA=rl\pi+r^2\pi[/tex]

Where r is the radius and l is the slant height.

Based on the figure shown attached, you have that:

[tex]r=7cm\\l=10cm[/tex]

Therefore, when you susbtitute these values into the formula shown above, you obtain that the surface area of the cone is:

[tex]SA=(7cm)(10cm)\pi+(7cm)^2\pi=119\pi[/tex]cm²

Answer:

The correct answer option is C. 119[tex]\pi^2[/tex]

Step-by-step explanation:

We are given the radius of the base of the cone and its height and we are to find its surface area.

We know that the surface area of the cone is given by: [tex]\pi rl +\pi r^2[/tex]

Substituting the given values in the above formula to get:

Surface area of cone = [tex] \pi \times 7 \times 10 + \pi \times 7^2 =[/tex] 119

Answer: (-4,0) (1,0) (4,0) (0,2)

The x intercepts are: (-4,0) (1,0) (4,0) and the y intercept is (0,2)

Step-by-step explanation:

The plotted points are intercepts of the graph. It is quite easy to tell what is what by looking at the graph intervals and knowing what is x and y.

Answer: 49

Step-by-step explanation:

HI :)

A confusing question but here's how I got my answer

1/7 is 21 divided by 3, which is 7

So now that we know what one seventh is we can multiply 7 by 7 and we get 49

Hope this helped :)

Answer:

A.) The red cylinder.

Step-by-step explanation:

For a cylinder:

V = (1/3)(pi)r^2h

Red:

V = (1/3)(pi)(2^2)(4) = 16pi/3

Blue:

V = (1/3)(pi)(1^1)(8) = 8pi/3

Since 16pi/3 is greater than 8pi/3, the red cylinder has a greater volume.

A. $27.23

B. $ 467.77

Complete Question goes thus

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5½% of the selling price.

A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Answer:

a. The total commission is $27.28

b. The store will get $468.72 from the sale of the couch

Step-by-step explanation:

a.

Commission can be referred to as the reward given by the company on goods for the employee to sell products in order to make more sales and more money.

Commission is calculated as follows:

Total commission = Total Sales * Commission Percentage

Given

Total Sales = $495

Commission Percentage = 5½%

Substitute in, the above values

Total Commission = $496 * 5½%

Total Commission = $496 * 5.5%

Total Commission = $496 * 0.055

Total Commission = $27.28

Hence, the total commission is calculated as $27.28

b. The amount remitted to the store is calculated as

Amount = Total Sales - Total Commission

Where Total Sales = $496

Total Commission = $27.28

Amount = $496 - $27.28

Amount = $468.72

Hence, the store will get $468.72 from the sale of the couch

ANSWER

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

[tex] log_{4}(x) = 3[/tex]

We take antilogarithm of both sides to base 4.

[tex] {4}^{log_{4}(x)} = {4}^{3} [/tex]

This implies that,

[tex]x = {4}^{3} [/tex]

Answer:

B. 4³=x

Step-by-step explanation:

The log of  a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.

So the base of the log is the base of the index while the index is the log.

Answer:

v = -20.48

Step-by-step explanation:

v/4 + 1 = -4.12

v/4 = -5.12

v = -20.48

Answer: 35% increase

Step-by-step explanation: In order to calculate the percentage change you must first calculate the amount of change, and then divide it by the original number of members.

27 - 7 = 7 member increase

7/20 = .35

There was a 35% increase.

Answer: 16.8

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

3x + 2y

x = 4 and y = 2.4

//replace x and y with it's value and combine like terms.

3(4) + 2(2.4)

12  + 4.8

16.8

The quadratic formula was made by Muhammad al-khwarizmi.

A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function. Al Khwarzmi created the quadratic equation but Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. The Greek mathematician Diophantus solved the quadratic equation in his work Arithmetica,  but giving only one root, even when both roots were positive.

Step-by-step explanation:

He has 15 total shirts. 9+6. So P(Dress shirt) is  6/15 or 2/5 or 40 percent.

They are all divisible by 25.

Answer:

C

Step-by-step explanation:

If we're assuming the graph is linear, we can see that every 1 x value it goes up, the y value is upped by 4.

6+4=10

So therefore the value of y in (3,y) is 10.

Answer:

65

Step-by-step explanation:

29+24+12=65

The answer is 65

Hope this helps : )