The rectangle below has an area of 70y^8+30y^6. The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. What is the length and width of the rectangle?

Answer: 84%

Step-by-step explanation:

112 grocery shoppers bought a candy bar and 588 grocery shoppers did not.

Number of grocery shoppers that bought candy bar = 112

Number of grocery shoppers that did not buy candy bar= 588

Total number of grocery shoppers= 112+588 = 700

Percentage of shoppers did not buy a candy bar= 588/700 × 100

= 0.84 × 100

= 84%

Answer:

0.84 = 84%

Step-by-step explanation:

First we need to find the total number of grocery shoppers.

If 112 bought a candy bar and 588 did not, the total number of grocery shoppers is:

588 + 112 = 700

Now, to calculate the percentage of grocery shoppers that didn't buy a candy bar, we make a division between the number of grocery shoppers that didn't buy a candy bar and the total number of grocery shoppers:

588 / 700 = 0.84 = 84%

Answer:

The answer to your question is the first option

Step-by-step explanation:

Original expression

                                 -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                              they forgot the negative sign of the

                                                              second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                               original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

Answer:

$4.44

Step-by-step explanation:

$3.70 * 1.2 = $4.44

Answer:

$4.44

Step-by-step explanation:

Step-by-step explanation:

p=5/7-4/7

7p=1

p=1/7

hope it helps

Answer:

Step-by-step explanation:

Answer:

Answer is A. (-1, 3)

Refer below.

Step-by-step explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

Answer:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

Step-by-step explanation:

[tex]\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}[/tex],[tex](denoted \:W_1, W_2, \:and\: W_3)[/tex]

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

The tree diagram of this event is also attached.

Answer:

The measure of angle z is 59°.

Step-by-step explanation:

Final answer:

To find the measure of ∠z when ∠x = 123° and ∠y = 51°, add the angles and subtract the sum from 180°.

Explanation:

Given:

∠x = 123°

∠y = 51°

To find ∠z:

Add ∠x and ∠y: 123° + 51° = 174°

Since the sum of angles in a triangle is 180°, subtract the sum of ∠x and ∠y from 180° to find ∠z: 180° - 174° = 6°

Hence, ∠z = 6°.

1) $56.75-$13.45=$43.3

2) $43.4-$16.32=$27.08

3) $27.08-$7.65=$19.43

Answer: she have left $19.43

Answer:

9-2i

Step-by-step explanation:

(1 + 2i) * (1 - 4i)

(1*1)-(1*4i)+(2i*1)-(2i)*(4i)

(1)-(4i)+(2i)-(8i^2)

i^2 = -1

1-4i+2i+8

1-2i+8

9-2i

The multiplication and simplification of the complex numbers (1 + 2i) x (1 - 4i) results in 9 - 2i.

To multiply and simplify the complex numbers (1 + 2i) and (1 - 4i), we must use the distributive property, just like in normal algebra. We get (1*1) + (1*-4i) + (2i*1) + (2i*-4i), which is 1 - 4i + 2i - 8i². But remember, in complex numbers, i² equals -1, so it simplifies further to 1 - 2i -8(-1), or 1 - 2i + 8, and finally, 9 - 2i which is our final, simplified result.

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Answer:

2.28% is the approximate percentage of the population with an IQ greater than 130.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(IQ greater than 130)

[tex]P( x > 130) = P( z > \displaystyle\frac{130 - 100}{15}) = P(z > 2)[/tex]

[tex]= 1 - P(z \leq 2)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x > 130) = 1 - 0.9772 = 0.0228 = 2.28\%[/tex]

2.28% is the approximate percentage of the population with an IQ greater than 130.

The approximate percentage of the population with an IQ greater than 130 will be 2.28%.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean intelligence quotient (IQ) score is 100, with a standard deviation of 15, and the scores are normally distributed.

Then the approximate percentage of the population with an IQ greater than 130 will be

The value of z-score

z = (130 - 100) / 15

z = 30 / 15

z = 2

Then the probability will be

P(x > 130) = P(z > 2)

P(x > 130) = 1 - P(z < 2)

P(x > 130) = 1 - 0.97725

P(x > 130) = 0.02275

Then the percentage will be

P = 0.02275 x 100

P = 2.275%

P ≅ 2.28%

More about the normal distribution link is given below.

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Answer:

10x10x2

Step-by-step explanation:

10 * 10 * 2 = 200

Answer:

(-135)/4

Step-by-step explanation:

Evaluate -(3 x^2)/4 - 2 x^2 + x - 12 where x = 3:

-(3 x^2)/4 - 2 x^2 + x - 12 = 3 - 2×3^2 - 3/4×3^2 - 12

3^2 = 9:

3 - 29 - 3/4×3^2 - 12

3^2 = 9:

3 - 2×9 - 3/4×9 - 12

-2×9 = -18:

3 + -18 - 3/4×9 - 12

-3×9 = -27:

3 - 18 + (-27)/4 - 12

Put 3 - 18 - 27/4 - 12 over the common denominator 4. 3 - 18 - 27/4 - 12 = (4×3)/4 + (4 (-18))/4 - 27/4 + (4 (-12))/4:

(4×3)/4 - (18×4)/4 - 27/4 - (12×4)/4

4×3 = 12:

12/4 - (18×4)/4 - 27/4 - (12×4)/4

4 (-18) = -72:

12/4 + (-72)/4 - 27/4 - (12×4)/4

4 (-12) = -48:

12/4 - 72/4 - 27/4 + (-48)/4

12/4 - 72/4 - 27/4 - 48/4 = (12 - 72 - 27 - 48)/4:

(12 - 72 - 27 - 48)/4

12 - 72 - 27 - 48 = 12 - (72 + 27 + 48):

(12 - (72 + 27 + 48))/4

| 1 |  

| 7 | 2

| 4 | 8

+ | 2 | 7

1 | 4 | 7:

(12 - 147)/4

12 - 147 = -(147 - 12):

(-(147 - 12))/4

| 1 | 4 | 7

- | | 1 | 2

| 1 | 3 | 5:

Answer: (-135)/4

Answer:

The correct option is;

a. Moderation

Step-by-step explanation:

Here we have that the analysis is to check the hypothesis that drinking caffeine would exacerbate the effect of sleep disturbance caused worry is a form of moderator analysis.

A moderator analysis is one in which we attempt to determine if the  relationship between two investigated variables is dependent on the magnitude or presence of a third variable. We refer to the third variable as the moderator or moderator variable.

I'm guessing 4+-√42 if u can understand it's the last one....

Answer:

20

Step-by-step explanation:

12square + 16 square=400

Square root it = 20

Answer:

Step-by-step explanation:

a^2+b^2=c^2

144+256=?

144+256=400

the square root of 400 is 20

so the missing side is 20

Answer:

400g

Step-by-step explanation:

mass= density × volume

Substitute the given value of density and volume.

Mass of the object

= 4(100)

= 400g

Answer:

The inequality is [tex]25w+200> 750.[/tex]

Step-by-step explanation:

The question is incomplete so the complete question is attached below:

Now, to write an inequality that can be used to find [tex]w[/tex], the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection.

Let the number of weeks be [tex]w.[/tex]

Number of cards Lawrence purchases each week = 25.

Number of cards Lawrence's father gave him = 200.

Total number of cards Lawrence will have more than in his collection = 750.

Now, to write an inequality that can be used to get the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection:

[tex]25\times w+200>750[/tex]

[tex]25w+200> 750.[/tex]

Therefore, the inequality is [tex]25w+200> 750.[/tex]

Answer:

a. 32

b. 27

c. 64

d. 36

e. 1/16

f. 1/9

Answer:

a.32

b.27

c.64

d.36

e.1/16

f.1/9

Step-by-step explanation:

Hope it helps.!

The rule for reflecting a point over the y-axis is this:

(x, y) ---> (-x, y)

The x term becomes the opposite and the y term stays the same

(3, 4) ---> (-3, 4)

Hope this helped! Let me know if you have any further questions!

~Just a girl in love with Shawn Mendes

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

Answer:

11. x=6;y=6.5  12. x=2;y=4

Step-by-step explanation:

hope that helped

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

-2. -3/4, -1/4, 2

-2 = -2

-3/4 = -0.75

-1/4 = -0.25

2 = 2

Answer:

x+y =13

10x + 9y =122

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)

For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-

So, the system of equations is:

Where:

x: number of hours Jose worked washing cars

y: number of hours Jose worked walking dogs  

Based on the information given, the equation will be:

Based on the information given, the sum of the hours he worked washing cars and the hours he worked walking dogs will be equal to the total hours worked. Thia can be represented by:

x + y = 13

On the other hand, the product of the number of hours he worked washing cars and the price per hour plus the product of the number of hours he worked walking dogs and the price per hour can be represented with the equation:

10x + 9y = 122

In conclusion, the equation will be x + y = 13 and 10x + 9y = 122.

Learn more about equations on:

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Answer:

1) 25/144 or 0.1736

2) 5/33 or 0.1515

Step-by-step explanation:

Total marbles: 5 + 7 = 12

1) 5/12 × 5/12

25/144

0.173611111

2) 5/12 × 4/11

5/33

0.151515151515

Answer:

1. 25/144

2. 5/33

Step-by-step explanation:

1. There are a total of 12 marbles. The probability of drawing the first marble red is: 5/12. Since we replace the marble, when we draw the second marble, the probability will also be 5/12. So we multiply them together and get: 25/144.

2. Again the probability of drawing the first marble red is 5/12. However, this time we're not replacing. This means that there are 12 - 1 = 11 remaining marbles and 5 - 1 = 4 remaining red marbles. Then the probability of choosing a second red marble is: 4/11. Multiply these two together: (5/12) * (4/11) = 20/132 = 5/33

Hope this helps!

Answer:

[tex]P(B \cup b) =\frac{4}{7}[/tex]

Step-by-step explanation:

Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28

Let the number of those who play basketball =B

Let the number of those who play baseball =n

Number who play neither sport, [tex]n(B\cup b)'[/tex]=12

From Set Theory,

Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.

Mathematically,From Set Theory,

[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]

The Probability that a student chosen randomly from the class plays basketball or baseball

[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]

Answer:

4/7

Step-by-step explanation:

4/7

Answer: D. 3 17/24​

Step-by-step explanation:

4 3/8 - 1 2/3

No, pet does not eat more dry food than wet food.

Here's the detailed explanation of the table:

The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:

This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.

For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.

The completed table is given below.

The complete question is given below:

Answer:

27

Step-by-step explanation:

4(5) + 3(3) - 2

20 + 9 - 2

27