Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?

Evaluating the expression step-by-step, the final answer is 14. This indicates there may be a misinterpretation or error in the options as 14 is not listed among the provided choices.

Let's break down the expression step-by-step to evaluate –(31 + 2) + 72 – (–5)2.

Therefore, the correct evaluation of the expression is 14, which is not among the provided options, indicating a possible error in the question or the options provided.

12x^2y^2+2xy-2 with problems like these use the app “Photomath” it will help you a lot.

The answer is:

[tex](3xy-1)(4xy+2)=12(xy)^{2}+2xy-2[/tex]

or

[tex](3xy-1)(4xy+2)=12x^{2}y^{2}+2xy-2[/tex]

To solve the problem and identify the resultant expression, we need to apply the distributive property, and the, add or subtract like terms.

Describing the distributive property:

[tex](a+b)(c+d)=a*c+a*d+b*c+b*d[/tex]

Remember, like terms are the terms that share the same variable and same exponent, for example:

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

We were able to add only the terms that have the same exponent (2).

We are given the expression:

[tex](3xy-1)(4xy+2)[/tex]

Now, solving we have:

[tex](3xy-1)(4xy+2)=(3xy*4xy)+(3xy*2)-(1*4xy)-2\\\\(3xy*4xy)+(3xy*2)-(1*4xy)-2=12(xy)^{2}+6xy-4xy-2\\\\12(xy)^{2}+6xy-4xy-2=12(xy)^{2}+2xy-2[/tex]

Hence, we have that:

[tex](3xy-1)(4xy+2)=12(xy)^{2}+2xy-2[/tex]

or

[tex](3xy-1)(4xy+2)=12x^{2}y^{2}+2xy-2[/tex]

Have a nice day!

For this case, we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

A: It's the radio

h: The height of the cylinder

We have the values:

[tex]r = 6 \ cm\\h = 15 \ cm[/tex]

Substituting:

[tex]V = \pi * (6 ^ 2) * 15\\V = \pi * 36 * 15\\V = 1696.46 \ cm ^ 3[/tex]

Answer:

[tex]V = 1696.46 \ cm ^ 3[/tex]

Answer:

Step-by-step explanation:

In this problem, you have to work sort of backwards.

The mean is 2.3 and there are 6 numbers [including this missing one] so multiply 2.3 by 6.

2.3 x 6 = 13.8

Now, subtract the 5 values you know from 13.8

13.8 - 2.3 - 4.1 - 1.2 - 1 - 0.5 = 4.7

Thus, the missing value is 4.7

I hope this helps!

Answer:

its c

Step-by-step explanation:

Answer: Option C.

Step-by-step explanation:

The surface area of the right triangular will be the sum of all its faces.

You can observe in the figure that the faces of the right triangular prism are: Two equal right triangles and three different rectangles.

The formula for calculate the area of a triangle is:

  [tex]A=\frac{bh}{2}[/tex]

Where "b" is the base and "h" is the height.

The formula for calculate the area of a rectangle is:

  [tex]A=lw[/tex]

Where "l" is the length and "w" is the width.

Then, the surface area of the right triangular prism is:

[tex]SA=\frac{ba}{2}+\frac{ba}{2}+dc+db+da\\\\SA=2(\frac{ba}{2})+d(c+b+a)\\\\SA=2(\frac{4cm*3cm}{y})+8cm(5cm+4cm+3cm)\\\\SA=108cm^2[/tex]

The answer is:

The center of the circle is located on the point (-9,-2) and the radius is 6 units.

To solve the problem, we need to use the given equation which is in the general form.

We are given the circle:

[tex]x^{2}+y^{2}+18x+4y+49=0[/tex]

We know that a circle can be written in the following form:

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Where,

h is the x-coordinate of the center of the circle

k is the y-coordinate of the center of the circle

r is the radius of the circle.

So, to find the center and the radius, we need to perform the following steps:

- Moving the constant to the other side of the equation:

[tex]x^{2}+y^{2}+18x+4y=-49[/tex]

- Grouping the terms:

[tex]x^{2}+18x+y^{2}+4y=-49[/tex]

- Completing squares for both variables, we have:

We need to sum to each side of the equation the following term:

[tex](\frac{b}{2})^{2}[/tex]

Where, b, for this case, will the coefficients for both terms that have linear variables (x and y)

So, the variable "x", we have:

[tex]x^{2} +18x[/tex]

Where,

[tex]b=18[/tex]

Then,

[tex](\frac{18}{2})^{2}=(9)^{2}=81[/tex]

So, we need to add the number 81 to each side of the circle equation.

Now, for the variable "y", we have:

[tex]y^{2} +4y[/tex]

Where,

[tex]b=4[/tex]

[tex](\frac{4}{2})^{2}=(2)^{2}=4[/tex]

So, we need to add the number 4 to each side of the circle equation.

Therefore, we have:

[tex](x^{2}+18x+81)+(y^{2}+4y+4)=-49+81+4[/tex]

Then, factoring, we have that the expression will be:

[tex](x+9)^{2}+(y+2)^{2}=36[/tex]

- Writing the standard form of the circle:

Now,  from the simplified expression (after factoring), we can find the equation of the circle in the standard form:

[tex](x+9)^{2}+(y+2)^{2}=36[/tex]

Is also equal to:

[tex](x-(-9))^{2}+(y-(-2))^{2}=36[/tex]

Where,

[tex]h=-9\\k=-2\\r=\sqrt{36}=6[/tex]

Hence, the center of the circle is located on the point (-9,-2) and the radius is 6 units.

Have a nice day!

Answer:

Full question attached below.

Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1

Step-by-step explanation:

There is no difference between the systems of line 1 and 4

1st system

5x + 3y = 14

4x - 2y = -2

4th system

10x + 6y = 28

12x - 6y = -6

In the fourth system, we factor number 2 from the first line, and number 3 from the second line

4th system

2[5x + 3y] = 2[14]

3[4x - 2y] = 3[-2]

If we simplify,

4th system

[5x + 3y] = [14]

[4x - 2y] = [-2]

We get the same system as the 1st

Therefore, the solution is the same.

Answer: Its C

Step-by-step explanation: its equivalent

[tex]\text{Hey there!}[/tex]

[tex]\text{What is the greatest common factor of 86 and 43?}[/tex]

[tex]\text{Factors of 86}\rightarrow\text{1, 2, 43, 86}[/tex]

[tex]\text{Factors of 43}\rightarrow\text{1, 43}[/tex]

[tex]\text{Common factors of BOTH NUMBERS: 1, 2, 43}[/tex]

[tex]\text{Out all the common factors of those we listed just now, 43 is the biggest one}[/tex]

[tex]\boxed{\boxed{\text{Answer: 43}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

The Greatest Common Factor(GCF) of 86 and 43 is 1 because 43 is a prime number and does not have any other factors apart from 1 and itself, and 43 does not divide evenly into 86.

To find the Greatest Common Factor (GCF) of 86 and 43, we first need to understand what a GCF is. The GCF of two or more numbers is the largest number that divides evenly into each of the numbers. The GCF for these numbers is 1 because the number 43 is a prime number and does not have any other factors apart from 1 and itself. In addition, 43 does not divide evenly into 86, leaving us with 1 as the higher factor that divides both 43 and 86.

So, the Greatest Common Factor of 86 and 43 is 1.

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Answer: 10

Step-by-step explanation:

1. Add all the types of meat, cheese, and bread

2. 10 Is your answer because it’s asking for 1 and 10 of all the items will be in 1 meal consisting all the types.

Answer:

(5,-37/9)

Step-by-step explanation:

Divide the first equation by 2 and the second equation by 2.

8x=3-9y, -5x=-12+9y

Isolate the 9y's

8x-3=-9y, -5x-12=9y

Add the equations together so that the two y's cancel out

8x-3=-9y

-5x-12=9y   +

3x-15=0

Solve this equation to get...

x=5

Plug that in to the original equations to get y=-37/9

Answer:

(x,y) = (-3,3)

Step-by-step explanation:

16x=6-18y

-10x=-24+18y

We need to solve the above equations to find the values of x and y.

Rearranging the above equations

16x + 18y - 6 = 0 => eq(1)

-10x -18y +24 =0 => eq(2)

Adding eq(1) and eq(2)

16x + 18y - 6 = 0

-10x -18y +24 =0

-----------------------

6x + 18 =0

6x = -18

x= -18/6

x= -3

Putting value of x in eq(1) i.e

16x + 18y - 6 = 0

x= -3

16(-3) + 18y - 6 =0

-48 + 18y -6 =0

18y - 54 = 0

18y = 54

y= 54/18

y= 3

So, value of x = -3 and y = 3

(x,y) = (-3,3)

ANSWER

a=1 and b=-12

EXPLANATION

The hyperbola has a hole at:

x=3

and a vertical asymptote at x=-4.

This implies that the denominator of the rational function is

(x-3)(x+4)

We expand to get;

[tex] {x}^{2} + 4x - 3x - 12[/tex]

This simplifies to:

[tex]{x}^{2} + x - 12[/tex]

comparing to

[tex] {x}^{2} + ax + b[/tex]

We have a=1 and b=-12

Answer:

The answer is $63.6 for a coat

Step-by-step explanation:

80 (times) 0.75 = 60

60 (times) 1.06 = 63.6

25% = 0.75

adding 6% = 1.06

Answer:

The answer is $63.6 for a coat

Step-by-step explanation:

Answer:

[tex]142\ tiles[/tex]

Step-by-step explanation:

step 1

Find the total tiles in the square board

The total area of the square board is equal to

[tex]A=14^{2}=196\ in^{2}[/tex]

Remember that each tile is 1-inch-square

so

by proportion

The total tiles is equal to

[tex]196\ tiles[/tex]

step 2

Find the number of gray tiles in the square board

The total area of gray tiles in the square board is equal to

[tex]A=3[(3)(3)]=27\ in^{2}[/tex]

Remember that each tile is 1-inch-square

so

by proportion

The total gray tiles is equal to

[tex]27\ tiles[/tex]

step 3

Find the number of white tiles in the square board

Subtract the number of gray tiles from the total number of tiles

[tex]196-27=169\ tiles[/tex]

step 4

Find out how more white tiles than gray tiles will Zoey use

Subtract the number of gray tiles from the number of white tiles

[tex]169-27=142\ tiles[/tex]

ANSWER

[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]

EXPLANATION

We want expand:

[tex](12x^2+8y^3)(4x^2+7y^3)[/tex]

We expand using the distributive to obtain:

[tex]12 {x}^{2} (4 {x}^{2} + 7 {y}^{3} ) + 8 {y}^{3} (4 {x}^{2} + 7 {y}^{3} )[/tex]

[tex]48 {x}^{4} + 28 {x}^{2} {y}^{3} + 32{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]

Simplify further by combining the two terms in the middle:

[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]

Answer:

[tex]48 {x}^{4}  + 60{x}^{2} {y}^{3} +  56 {y}^{6}[/tex]

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The given algebraic expression is;

[tex]-x^2-6y+13x+7[/tex]

This is an algebraic expression in x and y.

Any term that is independent  of these two variables is called the constant term.

The term '7' is independent  of these variables.

Hence the constant term is 7.

Answer:

the means absolute deviation is 1.8

the striking deviation is 7

(it is because the data point on the far right of the graph)

Step-by-step explanation:

calculate the absolute deviation:

1.  calculate the mean (add all numbers and divide by 10) = 2.6

2.  find the absolute value of each

2.6 - 0 = 2.6

2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)

2.6 - 3 = 0.4

2.6 - 4 = 1.4 (you have 4's 3 times)

2.6 - 7 = 4.4

3.  Then add all of those values together

2.6 + 1.6 + 1.6 + 1.6 +  1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18

4.  find the mean of the difference

18/10 = 1.8

Answer:

1.8 and 7, just like the other person said<3

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

11.7 cm

Step-by-step explanation:

10^2 + 6^2 = c^2

100+36= 136

find the square root of 136 and you get 11.7 cm

It would be 170.1

Steps:

Each triangle side: 10 × 9 = 90 × 0.50 = 45

Since there are three sides: 45 × 3 = 135

Bottom triangle: 9 × 7.8 = 35.1

135 + 35.1= 170.1

Please mark as Brainliest! :)

Answer:

170.11

Step-by-step explanation:

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

The correct answers are 5, 10, and 15. I'm doing the same subject and I got a 100 on a question similar. Good luck!

Answer:

5, 10, and 15

Step-by-step explanation:

Answer:

On second day: 500 cm^3

On third day: 250 cm^3

Step-by-step explanation:

Let x be the initial amount of helium gas in the balloon.

As it is mentioned in the question that the balloon loses half of it's gas in one day. So after one day the gas will be half of the current volume. And to calculate the volume of gas the next day, the reduced volume will be divided by two.

So,

x = 1000 cm^3

Volume on second day,

x1 = 1000/2

=> 500 cm^3

Volume of gas on third day

x2 = x1/2

=> 500/2

=> 250 cm^3

Answer:

the answer is 500cm^3 and 250cm^3

Step-by-step explanation:

This is the correct answer to your question.

Answer:

They are proportional

Step-by-step explanation:

becaue the length of one of the square's sides is 1/4 the perimeter

Answer:

C

Step-by-step explanation:

The central angle is 20% of 360°, that is

central angle = [tex]\frac{20}{100}[/tex] × 360° = 0.2 × 360° = 72° → C

Answer:

Find the measure of the central angle that you would draw to represent 20% in a circle graph.

A. 18°

B. 60°

C. 72°

D. 20°

Step-by-step explanation:

The central angle is 20% of 360°

20 % of 360 = 72°

About $290.83.

Hope this helps!

The police officer will earn approximately $290.83 more each month in his second year, as his annual salary will raise from $26,400 to $29,890.

In this scenario, we are dealing with a salary raise and how it affects the overall monthly income. The first year, the police officer is earning $2,200 per month, which translates to an annual salary of $26,400 (since there are 12 months in a year, you can simply multiply the monthly income by 12 to find this). The second year, his annual salary will be raised to $29,890.

To see how much more they will be making a month, subtract the first year's annual salary from the second year's total ($29,890 - $26,400 = $3,490). This is the total raise for the year, but we want to find out how much more the officer will be making a month. Since the raise is distributed over 12 months, simply divide this total by 12 to get the answer. $3,490 ÷ 12 = approximately $290.83. So, the police officer will be making around $290.83 more each month in the second year.

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Answer:

30 gms

Step-by-step explanation:

half life time means time taken for material to become half of its quantity

120 gms will become 60 gms in 10 mins

then in 20 mins, it will be 30 gms

After 20 minutes 30 grams amount of radioactive form of nitrogen left.

Given

The total amount radioactive form of nitrogen = 120 grams

The time is taken for the radioactivity of a specified isotope to fall to half its original value:

The formula is used to calculate half-life is;

[tex]\rm Half \ life = \dfrac{Amount \ of \ substance}{2}[/tex]

The half-life of the nitrogen after 10 minutes;

[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{120}{2}\\\\\rm Half \ life = 60 \ grams[/tex]

The half-life of the nitrogen after 10 minutes is 60 grams.

The half-life of nitrogen after 20 minutes;

[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{60}{2}\\\\\rm Half \ life = 30 \ grams[/tex]

Hence, after 20 minutes 30 grams amount of radioactive form of nitrogen left.

To know more about Half-life click the link given below.

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Answer:

D. -2x+3y=12

Step-by-step explanation:

ANSWER

D. -2x+3y=12

EXPLANATION

The given line passes through:

(0,4) and (-6,0)

These are the x and y intercepts.

The equation is given by :

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

where a= -6 is the x-intercept and b=4 is the y-intercept.

We substitute the values to get,

[tex]\frac{x}{ - 6} + \frac{y}{4} = 1[/tex]

Multiply through by 12,

[tex]\frac{x}{ - 6} \times 12 + \frac{y}{4} \times 12 = 1 \times 12[/tex]

[tex] - 2x + 3y = 12[/tex]

The correct answer is D .

Answer:

(6.08,170.54)

Explanation:

It goes 6 to the left and 1 up

Using Pythagorean theorem= 1/6=tan(angle)

Inverse tan 1/6= angle

= 9.46 degrees

180-9.46= 170.54 degrees is the angle

1^2+(-6)^2=h^2

1+36=h^2

h= square root of 37

h= 6.08

Hope you get it!

Answer:

[tex]\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]

Step-by-step explanation:

If a 2x2 matrix is given as:

[tex]\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right][/tex]

The inverse is:

[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]

Our matrix given is:

[tex]\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right][/tex]

Using the formula, let's find the inverse:

[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]

Answer:

D 81 pi units^2

Step-by-step explanation:

The circumference of a circle  is given by

C = 2 * pi *r

18 pi = 2 * pi *r

Divide each side by 2 * pi

18 pi / (2 pi) = 2 pi * r/ (2 pi)

9 = r

Now we can find the area.  Area is given by

A = pi r^2

A = pi * 9^2

A = 81 pi units^2

Circumference = [tex]2\pi r[/tex]

[tex]\frac{18\pi}{2\pi} = \frac{2\pi r }{2\pi }[/tex]

18 ÷ 2 = 9

r = 9

-----------------------------------------------------------------------------------------------------------------

Area = [tex]\pi r^{2}[/tex]

= [tex]\pi (9)^{2}[/tex]

= 81[tex]\pi[/tex] units².

Answer:

100

Step-by-step explanation:

"What number" means a variable, like x.

"Is" means equals.

"Less than" means subtracted from.

Percent means out of 100.

"Of" means multiplication.

x = (150/100) 80 - 20

x = 120 - 20

x = 100

Answer:

A scale drawing is a drawing that shows the size of an object reduced or enlarged by a certain amount. The most common example is a map.

If we were to create a real size map of a house it would be a HUGE map. We wouldn't be able to grab it using our hands, and it wouldn't be useful either. The idea of a map is to have a diagrammatic representation of something.

Intead, we create maps where the size of the house is reduced by a certain scale. So we can see the distribution of the house, and -at the same time- know the measures of it.

I am attaching an example of a map. It's the map of mexico, and you can see the scale of the map at the bottom.