32ax + 12bx - 48ay - 18by

factor the polynomial​

Answer:

9.16

Step-by-step explanation:

We know that

Total expense = price of sugar * consumption

let price of sugar was 100

So total expense = 100*10=1000

But now new expense =1100 (I,e.10% more than 1000)

and new price =120(i,e. 20% more than 100)

So new consumption = new expense/ new price=

1100/120

=110/12

=9.16

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

16 2/3 %   or approx. 16.67%

Step-by-step explanation:

Original price = 100%

New price = 100+20% = 120%

To reduce back to 100%

we need to reduce 20% from 120 % = 20/120 = 1/6 = 16 2/3 % = 16.7% approx.

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

[tex]\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min[/tex]. Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

[tex]\frac{10.6666}{1.33333}=\frac{x}{1.75}[/tex] Cross multiply to get

18.666655 = 1.3333x so

x = 14.000 minutes

Answer:

[tex]y = 2g - 2[/tex]

[tex]y + g = 16[/tex]

Step-by-step explanation:

Given

Let g represent the green marbles

Let y represent the y marbles

Required

Determine the relationship between both marbles

The question says that y is 2 less than twice of g

This implies that: [tex]y = 2g - 2[/tex]

The question further states that, Sarah has a total of 16 marbles;

This implies that [tex]y + g = 16[/tex]

So, the system of equation that defines the relationship between y and g are:

y = 2g - 2

y + g = 16

Answer:

edge 2021

Step-by-step explanation:

If you let g be the variable for the green marbles and y be the variable for the yellow marbles, which equation represents the relationship between yellow and green marbles?

✔ y = 2g - 2

Sarah has a total of 16 marbles. Which equation represents the total number of marbles she has?

✔ y + g = 16

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season,                       Derek Jeter                           David Justice

1995,                           12/48 = 0.250                         104/411 ≈ 0.253

1996,                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

,         (183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

Which shows that  Derek Jeter's overall average was better than Justice's average  

Answer:

Step-by-step explanation:

a. Given,

v = 34 , a = 5 , t = 3

[tex]v = u + at[/tex]

plugging the values:

[tex]34 = u + 5 \times 3[/tex]

Calculate the product

[tex]34 = u + 15[/tex]

Move 'u' to L.H.S and change its sign

[tex] - u + 34 = 15[/tex]

Move constant to RHS and change its sign

[tex] - u = 15 - 34[/tex]

Calculate

[tex] - u = - 19[/tex]

The difference sign (-) will be cancelled in both sides:

[tex]u = 19[/tex]

b. Given,

v = 50 , u = 20 , a = 5

[tex]v = u + at[/tex]

plugging the values

[tex]50 = 20 + 5 \times t[/tex]

[tex]50 = 20 + 5t[/tex]

Move 5t to L.H.S and change its sign.

Similarly, Move 50 to R.H.S and change its sign

[tex] - 5t = 20 - 50[/tex]

Calculate

[tex] - 5t = - 30[/tex]

The difference sign (-) will be cancelled in both sides

[tex]5t = 30[/tex]

Divide both sides of the equation by 5

[tex] \frac{5t}{5} = \frac{30}{5} [/tex]

Calculate

[tex]t = 6[/tex]

c. Given,

v = 22 , u = 8 , t = 7

[tex]v = u + at[/tex]

plugging the values

[tex]22 = 8 + a \times 7[/tex]

[tex]22 = 8 + 7a[/tex]

Move 7a to LHS and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - 7a = 8 - 22[/tex]

Calculate

[tex] - 7a = - 14[/tex]

The difference sign (-) will be cancelled in both sides

[tex]7a = 14[/tex]

Divide both sides of the equation by 7

[tex] \frac{7a}{7} = \frac{14}{7} [/tex]

Calculate

[tex]a = 2[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

pretty sure this is right

Answer:

-2.

Step-by-step explanation:

4x + 5y = -12

-23.4x + 3y = -16

23.4[4x + 5y = -12]

4[-23.4x + 3y = -16]

93.6x + 117y = -280.8

-93.6x + 12y = -64

129y = -344.8

y = -2.672868217

That is about -2.

Hope this helps!

Answer:

40

Step-by-step explanation:

area is length times width for 2d shapes. do 4x10 the are is 40

Answer:

3,896 have signed up from other countries

Step-by-step explanation:

In this problem we are required to calculate the number of signups from other countries.

well, since we know the total sign ups to be 3,922

And also we know that 26 out of the total signed up from the USA

This means that the sign ups from other countries will be

3,922-26=3,896

=================================================

Explanation:

For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4

Check out the attached image below for the sorted table I'm referring to

We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one

4 times 1/2 = 2

2 times 1/2 = 1

1 times 1/2 = 1/2

1/2 times 1/2 = 1/4

and so on. Effectively we can say the decay rate is 50%

Answer:

Real interest rate= 3%

Step-by-step explanation:

Giving the following information:

Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.

The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.

Real interest rate= nominal interest rate - inflation rate

Real interest rate= 0.08 - 0.05= 0.03

Answer:

(g + f) (x) = (2^x + x – 3)^1/2

Step-by-step explanation:

The following data were obtained from the question:

f(x) = 2^x/2

g(x) = √(x – 3)

(g + f) (x) =..?

(g + f) (x) can be obtained as follow:

(g + f) (x) = √(x – 3) + 2^x/2

(g + f) (x) = (x – 3)^1/2 + 2^x/2

(g + f) (x) = (x – 3)^1/2 + (2^x)^1/2

(g + f) (x) = (x – 3 + 2^x)^1/2

Rearrange

(g + f) (x) = (2^x + x – 3)^1/2

Answer:

  (x -9)^2 +(y -12)^2 = 225

Step-by-step explanation:

The equation of a circle with center (h, k) that passes through point (a, b) is ...

  (x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For your given points, the equation is ...

  (x -9)^2 +(y -12)^2 = (0 -9)^2 +(0 -12)^2 = 81 +144

  (x -9)^2 +(y -12)^2 = 225

Answer:

Step-by-step explanation:

If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.

R(75) = 150(1.03)^75

R(75) = 150*9.1789

R(75) = 1,376.835

Hence, the company have about 1377 representatives after 75 days.

Answer:

1.148 repetent

Step-by-step explanation:

hope this helps

Answer:

x.

Step-by-step explanation:

you know that x is a function because for one x-value there is only one possible y-value

Answer: X

Step-by-step explanation:

x because it doesn't fail the vertical line test

Answer:

(C)[tex]-6x+8(-x+6) = 6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x+y=6 \\-6x+8y = 6[/tex]

From the first equation:

x+y=6

Making y the subject, we have:

y=-x+6

Substituting y=-x+6 into the second equation, we obtain:

[tex]-6x+8(-x+6) = 6[/tex]

The correct option is C.

NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5+2=7

Answer:

43 cups

Step-by-step explanation:

Subtract the height of the one cup from the stack

73 - 10

63

The rest of the cup each add 1.5 cm to the stack

take the remaining height and divide by 1.5 for each cup

63  cm/ 1.5 cm per cup

42 cup

There are 42 cups in the remaining part of the stack

Plus the 1 cup that is 10 cm

42+1 = 43 cups total in the stack

Answer:

[tex]\boxed{\sf 43 \ cups}[/tex]

Step-by-step explanation:

The stack is 73 cm tall, one cup is 10 cm.

Let’s subtract the height of the one cup from the height of the stack.

[tex]\sf 73 - 10\\=63[/tex]

The cups left each add 1.5 cm.

Let x be the cups left.

[tex]\sf 1.5x=63\\x=\frac{63}{1.5} \\x=42[/tex]

Add the 1 to the cups left, because that first cup was subtracted from the height of the stack.

[tex]\sf 42+1\\=43[/tex]

Answer:

Yes, the ordered pair is correct.

Explanation:

You can check the if the ordered pair by substituting the values into the equation. If you substitute the ordered pair (1, 3), then you can make sure the ordered pair is correct. The equation with the substitution will be 3 = 1 + 2, which results in the true equation 3 = 3, therefore the ordered pair is correct.

Answer:

$32

Step-by-step explanation:

the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.

Answer:

$32

Step-by-step explanation:

discount is $8

Answer:

7 1/4

Step-by-step explanation:

4 3/4 + 2 1/2 =

4 3/4 +2 2/4 =7 1/4

Answer:

7 1/4 hours

Step-by-step explanation:

4 3/4 + 2 1/2

Get a common denominator

4 3/4 + 2 2/4

6 5/4

Rewriting as

6 + 4/4 + 1/4

6 + 1 + 1/4

7 1/4 hours

Answer:

1: yes AB2×4

2:not possible

3:(11,2)

(20,12)

Step-by-step explanation:

1:compare the orders given which is 2×3 and 3×4 so to get if it's possible to multiply you just cancel out the same numbers if present i.e 3

2:so I took the first column of m multiply the first row of n (add values you get i.e -2×1+1×-4+0×2=-6) but on the second value of the first row I got 8 not 3 so I said not possible

3 you multiply row by column

(1×1+0×7+2×5=11. 1×4+0×2+-2×1=2)

(3×1+1×7+2×5=20. 3×4+1×2+2×-1=12)

therefore

(11,2)

(20,12)

y = 2x+1 and y = 2x-2 have the same slope, but different y intercepts. This means the lines are parallel. So the boundary lines are parallel.

y > 2x+1 indicates we'll shade above the y = 2x+1 boundary line

y < 2x-2 tells us to shade below the y = 2x-2 boundary line

Both boundary lines are solid lines (and not dashed line) because of the "or equal to" portion

What results is similar to what you see in choice A. However, the red boundary line should go through (0,1) and not (0,2). The blue boundary line should go through (0,-2) and not (0,-1)

Basically take the graph of choice A and shift everything down 1 unit and you'll have your final answer.

This graph shows the solution to the system of linear inequalities

y ≥ 2x + 1

y ≤ 2x - 2

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Graph is y ≥ 2x + 1 and is the red shaded area and dotted means inequality

Graph is y ≤ 2x - 2 and is the blue shaded area and dotted means inequality

Learn more about graph

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#SPJ2

Answer:

Step-by-step explanation:

The cross section of a right rectangular pyramid is a trapezoid if the pyramid is sliced perpendicularly to the base and NOT passes trough the vertex.

If the pyramid is sliced through the top vertex and perpendicular to the base, the cross section is a triangle that does not have the same dimension as the pyramid

Answer:

Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f

Answer: A) 21.25 ≤ x ≤ 22.75

Step-by-step explanation:

Given, Average weight of basketballs = 22 ounces

It is possible for its weight to vary at most 0.75 ounces from this average.

Let x denotes the weight of the basket ball.

Then, the required range  for a basketball's weight:

Average-0.75 ≤ x ≤ Average+0.75

⇒22-0.75 ≤ x ≤ 22+0.75

⇒21.25 ≤ x ≤ 22.75

Hence, the range for a basketball's weight: 21.25 ≤ x ≤ 22.75 .

Correct option: A) 21.25 ≤ x ≤ 22.75

Answer:

x = [ -b +- sqr root (b^2 - 4ac)] / 2a

a = 1

b = -5

c = -2

x = [- - 5 +- sqr root (-5^2 -4 * 1 * -2)] / 2 * 1

x = [5 +- sqr root (25 + 8)] / 2

x1 =  5.3723

x2 =-0.37228

Step-by-step explanation:

Exact solution for the give quadratic equation are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Quadratic equation of the form [tex]ax^2+bx+c=0[/tex]

For any quadratic equation we get two values for x. we can find the values for x by applying quadratic formula .

Quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Given equation is [tex]x^2-5x-2=0[/tex]

The value of a=1, b= -5  and c=-2

Substitute all the values in the formula.

To find out exact solutions , we need to simplify the final answer.

Exact solutions are without any decimals.

[tex]x=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\pm \sqrt{33}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\p+ \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5+\sqrt{33}}{2}\\\\x=\frac{-\left(-5\right)- \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5-\sqrt{33}}{2}\\[/tex]

Exact solutions are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Learn more information about 'Quadratic formula ' here

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Answer:

0.431 inches

Step-by-step explanation:

We were given the following values:

Height the tennis ball was dropped = 100in

Rebound height = 58in

We have to find the rebound ratio

= 58in/100in = 0.58

The formula to be used

Height on nth bounce = Initial height × (Rebound ratio)ⁿ

Where n = number of bounce

Height on the 10th bounce = 100 × (0.58)^10

Height on the 10th bounce = 0.4308042069inches

Approximately, the height on the 10th bounce = 0.431 inches.