if y=12 and x=89, then what is the value of z?

Answer:

Try B

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

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

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

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

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Answer:

The length of each side is (2a-5) units

Step-by-step explanation:

4a^2 - 20a +25

= (2a)^2 - 20a + (-5)^2

=(2a - 5)^2

(9a^2 - 16b^2)

= (3a)^2 - (4b)^2  this is the difference of two squares, the factors are therefore

= (3a + 4b) * (3a - 4b)

The dimensions of the rectangle are:

one pair of opposite sides are 3a + 4b

and the other pair of opposite side perpendicular to the first pair is 3a - 4b

Answer:

Step-by-step explanation:

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

Learn more about the perimeter of a rectangle here:

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Answer:

it would be -11x^2+11x-4

Answer:

A) can be used to conduct a test about a hypothesized population regression function slope.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

A because the circle is empty and the line is going backwards

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Answer:

The weight unit is 200 pounds per tire

Answer:

just count how many shapes like the front triangle is one face

Answer:

2 triangle faces, 3 rectangle faces. Thank me later

Answer:

800

Step-by-step explanation:

First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.

Hope this helps!

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

Answer and Step-by-step explanation:

To subtract 8 from 10, it would look like this:

10 - 8.

Now, we add n to the result.

(10 - 8) + n

The question said not to simplify any part of this, so this is the expression.

(10 - 8) + n

#teamtrees #PAW (Plant And Water)

Answer:

Charlotte started with 65.

Step-by-step explanation:

In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.

Answer:

x=7°      y=4°

Step-by-step explanation:

7x+131=180

7x=180-131=49

x=49/7=7°

11x+y+99=180

77+y+99=180

y=180-99-77

y=4°

The midpoint of the tallest bar of the histogram is the mode of the data point.

Graph is a graphical representation that shows the relationship between a group of points. Types of graphs are histogram, bar chart, pie chart etc.

A histogram is a graphical representation that arranges a group of data points into specific ranges.

The midpoint of the tallest bar of the histogram is the mode of the data point.

Find out more on histogram at: https://brainly.com/question/2962546

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Answer:

No solution

Step-by-step explanation:

1. Distribute the right side.

8w+5=8w+4

2. This has no solution.

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:

Student H

Step-by-step explanation:

He did the most amout of assiments in the least amout of time

Answer:

Student G

Step-by-step explanation:

They did 7 assignments in 8 hours, while student B did 3 in 8 hours

I think

Answer:

Step-by-step explanation:

1) the formula for the area of the square is:  side^2

2) by solve the square root of the area

3) √81 ; √89

4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).

the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.

Any angle that measures less than 90 degrees

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20