80 divided by 70 plus 90 x 200 divided by 5

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

To solve the problem, we need to remember the following property of square roots:

[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]

We are given the expression:

[tex]\sqrt{200}[/tex]

We can rewrite it by the following way:

[tex]\sqrt{100*2}[/tex]

Now, applying the square root property we have:

[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

Have a nice day!

Answer:

h = 6 cm  

l = (32-2(6)) =  20 cm

w = (40-2(6)) = 28 cm

Step-by-step explanation:

Given in the question a piece of cardboard having dimensions 32 by 40

Suppose we cut square of length x

When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths

Formula for the volume of box

v = height * length  * width

v = x  (32-2x)  (40-2x)

v = 4x³ - 144x² + 1280x

Find derivative and equal it to 0

dv/dx = 4(3)x² - (2)144x + 1280

      0 = 12x² - 288x + 1280

x1 = 18.110

x2 =5.88

Select x and plug value of x to find dimension

(32-2x) > 0

2x < 32

 x < 16

so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm

h = 6 cm  

l = (32-2(6)) =  20 cm

w = (40-2(6)) = 28 cm

Answer:

A.

Step-by-step explanation:

To make a decimal into a percent you just move the decimal 2 times to the right.

0.24 = 24%

The percentage of females polled supported Wilson is about 44%

Given:

Total frequency of females polls = 0.54

Frequency of polls got by Wilson = 0.24

We have to find the percentage of female polls supported Wilson.

[Percentage Polls) × (Total frequency of females polls)] / 100 = Frequency of polls got by Wilson

⇒ Percentage polls = (0.24 × 100) / 0.54

⇒ Percentage polls = 44.44%

Therefore, the percentage of females polled supported Wilson is about 44%.

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Answer:

A coordinate pair that works as a solution is (1,3)

Answer:

A coordinate pair that works as a solution is (1,3)

Step-by-step explanation:

Answer:

two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

Step-by-step explanation:

Answer:$4.23

Step-by-step explanation:

Answer:

4.23 is the answer if its wrong let me know what mistakes i made

Answer:

B

Step-by-step explanation:

45+27=72

A- 15 times 9 equals 135

B- 8 times 9= 72

C 45 times 18 equals 810,

D- 14 times 12 equals 68

Answer:

4x - 12

Step-by-step explanation:

Expand 8 - 4(-x + 5) as follows:

              8 + 4x - 20

               4x - 12    (First answer is the correct one)

8-4(-x+5)

Multiply the bracket by -4 first .

8+4x-20

--=positive

-+= negative

4x-12

8-20=-12 because 12 is bigger than 8

Answer:A

The simplified expression is 3.5r - 7.

To simplify the expression 6.4r - 7 - 2.9r, first, combine like terms by subtracting the coefficients of 'r'.

This yields (6.4 - 2.9)r. Simplifying the coefficients gives 3.5r. Then, subtract 7. Therefore, the simplified expression is 3.5r - 7.

This means that when you distribute the 'r', you multiply it by 3.5, then subtract 7 from the result.

The simplified expression is 3.5r - 7.

Complete question :- Simplify 6.4r - 7 - 2.9r.

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

She make total number of 8 batches.

Amount of sugar required per batch =  [tex]\frac{2}{3} [/tex] cup

Since, Elena used [tex]5\frac{1}{3} [/tex]  cups of sugar to make multiple batches of cookies.

To find number of batches she make, divide total amount of sugar by amount of sugar per batch.

Number of batches she make,

                             [tex]=5\frac{1}{3}\div\frac{2}{3}\\ \\ =\frac{16}{3}*\frac{3}{2}=8 [/tex]

Hence, She make total number of 8 batches.

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Answer:

1. 0.09

2. 0.21

3. 0.49

Step-by-step explanation:

If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.

1. The probability that Yuri will make two consecutive free throws is

[tex]0.3\cdot 0.3=0.09[/tex]

2. The probability that he will make the first and not the second in two free throws is

[tex]0.3\cdot 0.7=0.21[/tex]

3. The probability that he will make neither of the two free throws is

[tex]0.7\cdot 0.7=0.49[/tex]

Answer:

0.78

Step-by-step explanation:

Divide: 5/18

Answer:

[tex]y=-x+4[/tex]

Step-by-step explanation:

We want to find the equation of the line passing through (2,2) and perpendicular to the line with equation y=x.

The given line y=x has slope n=1.

The line that is perpendicular to this line has slope m=-1

The equation is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex]

we plug in the slope and the point to get;

[tex]y-2=-1(x-2)[/tex]

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

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

The required equation is

[tex]y=-x+4[/tex]

Answer:

C. 17 - 12 = d + 12 - 12

Step-by-step explanation:

You need to get d by itself and in order to do that you need to subtract 12

The answer for this problem is 40167.

To round this up to the nearest 10, if the ones is above 5, round it up.

To the nearest 10

40170

Answer:

40,170

Explanation:

 25,222

+14,945

 40,167

Then to round, we look at the ones column. Since there is a 7, which is greater than or equal to five, we round up to 70 from 67.

So our final answer is 40,170

Hope this was helpful, let me know of you need any further explanation!

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {2}, 4 \sqrt {3})\\(x_ {2}, y_ {2}) :( 3 \sqrt {2}, - \sqrt {3})[/tex]

Substituting:

[tex]d = \sqrt {(3 \ sqrt {2} -3 \sqrt {2}) ^ 2 + (- \sqrt {3} -4 \sqrt {3}) ^ 2}\\d = \sqrt {(0) ^ 2 + (- 5 \sqrt {3}) ^ 2}\\d = \sqrt {0+ (25 * 3)}\\d = \sqrt {75}\\d = 5 \sqrt {3}\\d = 8.66[/tex]

Answer:

[tex]d = 8.66[/tex]

Answer:

A=1/2 h(b1+b2)

Step-by-step explanation:

h being the height and b1 being base one and b2 being base two

Answer:

d only balance sheet accounts.

Step-by-step explanation:

Only permanent accounts are on the balance sheet which includes

assets, liabilities and equity acct.

A trial balance contains all accounts in the general ledger with their account balances, which are used to prepare financial statements such as the balance sheet and income statement.So,option a is correct.

A trial balance is an accounting report that lists all the accounts in the general ledger of an entity along with their respective account balances. It is prepared to check the arithmetical accuracy of the accounting records - to ensure that debits equal credits. Therefore, the correct answer to the question is:

a) All accounts contained in the general ledger with account balances.

The trial balance includes both income statement accounts, such as revenue and expenses, and balance sheet accounts, which include assets, liabilities, and equity accounts. It is commonly used as a step in the process of preparing the financial statements, which include the balance sheet, income statement, and statement of retained earnings. These components provide a more comprehensive view of an entity's financial health at a certain point in time or over a specified period.

Exact Form: √3/3

Decimal Form: 0.57735026

sorry if i got it wrong, i tried my best on this :)

The value of the expression tan π/6 is √3/3 or approximately 0.5774.

The value of the expression tan π/6 is √3/3 or approximately 0.5774.

To find this value, we can remember that tan θ = sin θ / cos θ. So, tan(π/6) = sin(π/6) / cos(π/6).

Thus, tan(π/6) = (√3/2) / (1/2) = √3/3.

Answer:

8 projects

Step-by-step explanation:

28 : 3,5 = 8

Final answer:

Mia can complete 8 full projects with 28 yards of ribbon by dividing the total yards by the yards needed per project, after converting 3 1/2 yards to an improper fraction (7/2).

Explanation:

The subject of this question is Mathematics, and the question would typically fall under a middle school grade level. To solve the problem about the number of projects Mia can complete, we need to use division. Mia has a total of 28 yards of ribbon and needs 3 1/2 yards of ribbon for each project. By converting the mixed number to an improper fraction, we get 7/2 yards per project; then we can divide the total yards by the yards needed per project.

To calculate how many full projects Mia can complete:

Mia can complete 8 full projects with the ribbon she has.

No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4

In comparing 1/2 gallon and 5/8 gallon, using equivalent fractions shows that 5/8 gallon is larger than 1/2 gallon.

In the comparison of 1/2 gallon and 5/8 gallon, it's important to remember that fractions provide a way of representing parts of a whole. With fractions, the numerator represents the part while the denominator represents the total parts. So here, the fraction 5/8 represents 5 parts of a total 8 parts, where 1 gallon is considered the 'whole' or 'total' amount.

To determine if 1/2 is greater or less than 5/8, we want to make the denominators the same for comparison. Multiply the numerator and the denominator of the first fraction (1/2) by four to get it to the same denominator as the second one. This results in 4/8 for the first fraction.

Now, comparing 4/8 and 5/8, we find that 5/8 is greater than 4/8. Therefore, 5/8 gallon is indeed more than 1/2 gallon.

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This may be what you're looking for:

Answer:

36 in.³

Step-by-step explanation:

volume = length × width × height

volume = 6 in. × 3 in. × 2 in.

volume = 36 in.³

Answer:90+33 = 123

123-180=77

So 77

Step-by-step explanation:

Answer:

The answer is 77

Answer:

Step-by-step explanation:

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

Answer:

C) The traffic is heavier around the stadium when a game is being played. Games being played cause more traffic.

Step-by-step explanation:

Final answer:

The width of the parking lot is 11 meters and the length is 33 meters.

Explanation:

To find the width of the rectangular parking lot, let's assume that the width is 'x'. According to the given information, the length of the parking lot is three times the width, so the length is 3x.

The formula for the perimeter of a rectangle is P = 2(length + width). In this case, the length is 3x and the width is x. Plugging in these values, we get:
P = 2(3x + x) = 2(4x) = 8x

We know that the length of the parking lot is 88 meters, so we can set up an equation:
88 = 8x
To solve for x, divide both sides of the equation by 8: x = 11.

Therefore, the width of the parking lot is 11 meters and the length is 3 times the width, which is 33 meters.

median: 3

lower quartile: approximately 2.25

higher quartile: approximately 4.75

minimum: 0

maximum: 6

hope that helps

Substitute all values for x and y into their placement

y<1-6x

(1)<1-6(-1)

1<7

The coordinate pair is (-1,1)

Answer:

The equation of the line is y = -2x + 7

Step-by-step explanation:

* Lets study how to make an equation of the line from two point

- If the line passes through points (x1 , y1) and (x2 , y2)

- The form of the equation is y = mx + c, where m is the slope of the

 line and c is the y-intercept

- The rule of the slope is m = (y2 - y1)/(x2 - x1)

- The y-intercept means the line intersect the y-axis at point (0 ,c)

* Now lets solve the problem

∵ The line passes through points (-3 , 13) and (4 , -1)

- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (-1 - 13)/(4 - -3)

∴ m = (-14)/7 = -2

- Lets write the form of the equation

∵ y = mx + c ⇒ substitute the value of m

∴ y = -2x + c

- To find the value of c use one of the two points to substitute the

  values of x and y in the equation

∵ The line passes through (4 , -1)

∴ -1 = -2(4) + c

∴ -1 = -8 + c ⇒ add 8 to both sides

∴ -1 + 8 = -8 + 8 + c

∴ 7 = c

∴ y = -2x + 7

* The equation of the line is y = -2x + 7

Answer:

the answer is A and C

Step-by-step explanation:

Answer:

The student spent 60 minutes studying and got a 90 on the test

Step-by-step explanation:

The x coordinate is 60, which means they spent 60 minutes studying

The y coordinate is 90 which means they got a score of 90 on the test

The student spent 60 minutes studying and got a 90 on the test

Answer:

A)

Step-by-step explanation:

The expression (a + b)(x + y) is not equivalent to (a + x)(b + y). When the terms are distributed, (a + x)(b + y) yields a different result compared to the original expression.

The expression (a + b)(x + y) is equivalent to a(x + y) + b(x + y) and (b + a)( y + x) because the order of addition in each element doesn't change the overall result. However, the expression (a + x)(b + y) is not equivalent to the original expression.

To understand why, let's distribute the terms in each equivalent expression:

(a + b)(x + y) = ax + ay + bx + by

(b + a)( y + x) = ay + ax + by + bx = ax + ay + bx + by

a(x + y) + b(x + y) = ax + ay + bx + by

As you can see, all these three expressions give the same result when distributed. But, if we now distribute the terms in (a + x)(b + y):

(a + x)(b + y) = ab + ay + bx + xy

It's clear that it does not yield the same result. Thus, option A) (a + x)(b + y) is not equivalent to the original expression (a + b)(x + y).

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