finding side length of the 90-degree angle triangle

Answer:

3/5 for 13

Step-by-step explanation:

add 2 to the numerator and the denominator

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Answer:

The dimensions of the cube would be:

Step-by-step explanation:

For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):

How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:

In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.

Answer:

Both are correct

Step-by-step explanation:

Rico got 6/8

Nita got 3/4

Equivalent fraction

2/2 x Nita point

2/2 x 3/4

6 / 8

So,

Nita point = Rico point

6/8 = 6/8

Answer:

Both are corre

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

2(-4)^2=32

-10(-4)=40

32+40+13=85

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]

The value of x from the figure is 4

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Answer:

c i think

Step-by-step explanation:

The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1 Cups = 0.0625 Galloon.

Peter make 48 cups of drink.

So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt

= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt

= 3 gal

Hence, 48 cups of the drink.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ2

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

Answer:

30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens

Answer:

1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

2.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

Answer:

4.5/9 = 0.5

half a pie each

Answer: 4.8 Newton’s

Step-by-step explanation:

Force = mass x acceleration

Answer:

the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.

so 4 newtons

Answer:

t>-2

Step-by-step explanation:

So Act like this is an equation and add -3 to both sides:

t>-2

Thats your answer!

The correct choice should be #1

Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

13/4 = 3.25

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

1.y=2/3x +9

2.y=-7x+(-3)

Step-by-step explanation:

Answer:

Answer in image below :)

Step-by-step explanation:

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

Answer:

-b²

Step-by-step explanation:

a's coefficient is -b² because that is what a is being multiplied by.

Answer: (x^2-y^2) (x^2+y^2)  and  (x-y)(x+y)(x^2+y^2)

Step-by-step explanation:

Expand (x2 − y2) (x2 + y2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2 ) − y^2 (x^2 + y )

Apply the distributive property.

x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2

Combine the opposite terms in x^2 x^2 + x^2  y^2 - y^2  x^2 - y^2 y^2.

Reorder the factors in the terms x^2 y^2 and − x^2 y^2.

x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2

Subtract 2 2 from 2 2.

x^2 x^2+ 0 - y^2 y^2

Add 2  2 and 0.

x2 x2- y2 y2

Simplify each term.

Multiply x2 by x2 by adding the exponents.

x^4 − y^2y^2

x^4 − y^4

(x − y) (x + y) (x^2 + y^2)

Expand (x − y) (x + y) using the FOIL Method.

(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)

Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.

(x ⋅ x − y ⋅ y) (x^2 + y^2)

(x^2 − y^2) (x^2 + y^2)

Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2) − y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2

Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.

x^2x^2 − y^2y^2

x^4 − y^4

please give me brainliest :)

Answer:

Max

Step-by-step explanation:

Since the vertex is on top and the graph is opening down, there is a max value at the top.

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Answer:

3 kilograms

Step-by-step explanation:

one is for liquids and the others are too small i think

Answer:A

Step-by-step explanation:

If they both go down from 3 then it is 3 and then -infinity.

(this is my best answer without a picture, hope you get it right!)

9514 1404 393

Answer:

  3479

Step-by-step explanation:

Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...

  11000 · 0.316289 ≈ 3479