You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?

Answer:

A) x+y=4

B) x-y=-6​

We add both equations and get

2x = -2 so x = -1

and y = 5

So the ordered pair (-1, 5) is the solution to the equations.

Step-by-step explanation:

Answer:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

We can use the slope formula in order to find the slope of the line

[tex]m=\frac{-2-2}{0-(-3)} \\m=\frac{-4}{3}[/tex]

For a line to be perpendicular, it must have a slope that is the negative reciprocal, so that means that we swap the numerator and denominator and then multiply it by -1, this means that

[tex]m=\frac{-4}{3}\\\\m=\frac{3}{-4} \\\\m=\frac{-3}{-4} \\\\m=\frac{3}{4}[/tex]

Answer:

[tex]\large\boxed{x=-\dfrac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}[/tex]

Answer:

1. Simple random sampling

2. Systematic random sampling

Answer: 1,760 centimeters

Step-by-step explanation: Your Answer is above

Answer:

The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.

Hope this helps ya :D

Final answer:

The simplified square root of 130 is √130 and cannot be further simplified using integers as 130 does not have pairs of identical prime factors.

Explanation:

The question asks for the simplified form of the square root of 130. To simplify a square root, you want to factor the number under the square root into its prime factors and look for pairs of identical factors, because the square root of a pair of identical factors is just that number. In this case, 130 = 2 x 5 x 13, and since there are no pairs of identical factors, we cannot simplify it further without using a decimal or fractional answer. Therefore, the simplified square root of 130 is √130, which cannot be further simplified using integers.

Answer:

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

Step-by-step explanation:

We have the functions

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

And

[tex]g(x)=4x+2[/tex]

We want to find [tex](f + g) (x)[/tex]

Then

[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]

finally we find [tex](f + g) (2)[/tex]

[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]

Answer:

(f+g)2 = 20

Step-by-step explanation:

18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?

We know, (f+g)2= f(2) + g(2)

We will put 2 in the place of x for f(x) and g(x) and then find their result.

Solving:

(f+g)2= f(2) + g(2)

         =3(2)^2 -2 + 4(2) +2

         = 3(4) -2 + 8 +2

         = 12 -2 +8 +2

         = 20

So, (f+g)2 = 20

Answer:

It would take them 6.667 minutes to paint 50 square feet together.

Step-by-step explanation:

This is a classic work problem.  If Sam can do the job in 10 minutes, she can get done 1/10 of the job in one minute.  If you can do the job in 5 minutes, you can 1/5 of the job done in one minute.  To find out how many minutes it will take them together to paint 25 square feet, set the addition of their times equal to 1/x:

[tex]\frac{1}{10}+\frac{1}{5}=\frac{1}{x}[/tex]

x is how long it takes them to get the job done together.  Find the common denominator and multiply it through be everything to get rid of the denominators altogether.  That denominator is 10x:

[tex](10x)\frac{1}{10}+(10x)\frac{1}{5}=(10x)\frac{1}{x}[/tex]

Simplify to get the simple equation x + 2x = 10 and 3x = 10.  That means that x=3 1/3.  That's how long it takes to do 25 square feet.  Double that time for 50 square feet.

Answer: 3×607

Step-by-step explanation:

Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.

The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure

[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]

Exterior angles are complementary to interior angles, which means each interior angle has measure

[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]

Answer:

Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.

Step-by-step explanation:

0.8/100 = x/618

618(0.8) = 100x

494.4 = 100x

/100. /100

x = 4.944

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.

Let "N" be the number of runners who completed the race. Then the equation is given as,

0.8% = (N / 618) x 100

0.008 = N / 618

N = 0.008 x 618

N = 4.944

N ≈ 5

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

More about the percentage link is given below.

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-35

First, add the contents of the parentheses. 3 + 4 = 7. This gives you -5 * 7.

Now, just multiply. -5 * 7 = -35, so -35 is the answer.

To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.

To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:

Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1

Substitute the given annual rate of decay (-0.08 or -8%) into the formula:

Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1

This calculation gives us:

Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734

Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.

Answer:

0.42

Step-by-step explanation:

There are 12 different paths to the end. Five of those paths lead to money.

p(winning money) = 5/12 = 0.42

Answer is -11/17.

I've attached an image to show you how I got this answer.

11/17 THERE YOU GO YOU ARE WELCOME

Answer: Third option

[tex]V_s=14\ m^3[/tex]

Step-by-step explanation:

The volume of a sphere is:

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

Where r is the radius of the sphere

The volume of a cylinder is:

[tex]V_c = \pi r ^ 2 h[/tex]

Where h is the height of the cylinder and r is the radius

We assume that the height of the sphere is its diameter or 2 times its radius.

Then [tex]2r = h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]

We solve the equation for r

[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]

The radius of the cylinder is equal to the radius of the sphere

Finally

[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]

[tex]V_s=14\ m^3[/tex]

The mean is the average, add the numbers together and divide by the quantity of numbers:

10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96

96 / 8 = 12

The mean is 12

The median is the middle value.

Rearrange the numbers from smallest to largest:

10 , 10 , 11 , 12 , 12 , 13 , 13 , 15

There are an even amount of numbers, so find the middle two values, add together and divide by 2:

12 + 12 = 24 /2

Median = 12

Check the picture below.

To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.

The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.

In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.

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Answer:

[tex]f(15)=525\ ft^{2}[/tex]

f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

[tex]f(x)=x(2x+5)[/tex]

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

[tex]f(15)=15(2(15)+5)[/tex]

[tex]f(15)=525\ ft^{2}[/tex]

Answer:f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

Step-by-step explanation:

Answer:

She would need to complete 5.57 each noght to reach her goal of 100%.

Step-by-step explanation:

39/7 is equal to 5.57

Check the picture below.

Answer:

=53 seconds.

Step-by-step explanation:

24ft=7sec

180

180 x 7

_______=52.5=53

24

Answer:

64% as a fraction and decimal: 16/25 and .64

1/8 as a percent and decimal: 12.5% and .125

1.4 as a percent and fraction: 140% and 1 2/5

2 3/4 as a percent and decimal: 275% and 2.75

8 percent as a decimal and fraction: .08 and 2/25

Step-by-step explanation:

.25 is the answer because the next number should be half of the previous number and the opposite sign of the previous number.

0.25 is the best answer for the sequence :D

Answer:

4.5 in²

Step-by-step explanation:

Given that the triangles are similar then

linear ratio of corresponding sides = 3 : 4, then

ratio of corresponding areas = 3² : 4² = 9 : 16

let the area of ΔEDF be x then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )

16x = 72 ( divide both sides by 16 )

x = 72 ÷ 16 = 4.5

Area of ΔEDF = 4.5 in²

sqrt (b^2 -4ac ) =sqrt (4-4•3•4) = sqrt (-44) so the parabola does not have real solutions. Answer C)

Answer:

c

Step-by-step explanation:

Answer:

19 -  8√3

Step-by-step explanation:

(-4 + √2)^2

= (-4)^2 + 2(-4)(√3) + √3)^2

= 16 - 8√3 + 3

= 19 -  8√3

Answer:

D

Step-by-step explanation:

note that ([tex]\sqrt{3}[/tex] )² = 3

Given

(- 4 + [tex]\sqrt{3}[/tex] )² = (- 4 + [tex]\sqrt{3}[/tex])(- 4 + [tex]\sqrt{3}[/tex])

Expand using (a + b)² = a² + 2ab + b²

= (- 4 )² + 2(- 4[tex]\sqrt{3}[/tex] ) + ( [tex]\sqrt{3}[/tex] )²

= 16 - 8[tex]\sqrt{3}[/tex] + 3

= 19 - 8[tex]\sqrt{3}[/tex]

2y^2- 14y+ 20

By splitting the middle term:

2y^2 -10y -4y +20

By taking the common outside:

2y(y-5) -4(y-5)

=(2y-4)(y-5)

=2(y-2)(y-5)

Therefore D is the right answer

Answer:

D

Step-by-step explanation:

Given

2y² - 14y + 20 ← factor out 2 from each term

= 2(y² - 7y + 10)

To factor the quadratic

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the y- term (- 7)

The factors are - 2 and - 5, since

- 2 × - 5 = 10 and - 2 - 5 = - 7, so

y² - 7y + 10 = (y - 2)(y - 5) and

2y² - 14y + 20 = 2(y - 2)(y - 5) → D

Answer:

[tex]\boxed{0.2}[/tex]

Step-by-step explanation:

Convert [tex]\dfrac{12}{60}[/tex] to a decimal

Step 1. Reduce the fraction to its lowest terms.

Divide both numerator and denominator by their greatest common factor (12)

[tex]\dfrac{12}{60} =\dfrac{1}{5}[/tex]

Step 2. Convert the denominator to a power of 10

Multiply both numerator and denominator by 2.

[tex]\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}[/tex]

Step 3. Divide the numerator by the denominator

Dividing by 10 moves the decimal point one place to the left.

[tex]\dfrac{2}{10} = \boxed{0.2}[/tex]