Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?

The three consecutive integers are

x, (x+1), and (x+2)

Where (x+2) is the largest of them.

22 more than means to add 22.

Twice the largest means 2 times the largest.

So, let us equate the sum of three consecutive integers to 22 plus 2 times (x+2)

Therefore, the above equation correctly models the given word problem.

4398.22 cm³ the volume of cylinder.

What is volume of cylinder?

Given,

          Height of cylinder = 14 cm

         radius of cylinder = 10 cm

Now using formula volume of the cylinder = π r² h

          put value in formula,

                                               3.14 × 10× 10 × 14 = 4398.22 cm³

Therefore, 4398.22 cm³ the volume of cylinder.

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Answer:

A) ( -7,-2)

Step-by-step explanation:

-3x + 6y = 9  ⇒ multiply by 5⇒(5) -3x + (5)6y = (5)9 ⇒ -15x + 30y = 45

5x + 7y = -49 ⇒ multiply by 3⇒3(5x) + (3) 7y = (3) -49 ⇒15x + 21y = -147

Add the two bold equations together and solve for y

15x + 30y = 45

-15x + 21y = -147

         51y =  -102  Divide both sides by 51

          \(\frac{51y}{51}\) = \(\frac{-102}{51}\)

            y = -2

Substitute -2 into either of the two original equation to solve for x.

-3x + 6y = 9

-3x + 6(-2) = 9

-3x - 12 = 9  Add 12 to both sides

-3x -12 + 12 = 9 + 12

-3X = 21  Divide both sides by -3

\(\frac{-3x}{-3}\) = \(\frac{21}{-3}\)

x = -7

Solution: (-7, -2)

Check:

-3x + 6y = 9

-3(-7) + 6(-2) = 9

21 -12 = 9

9 = 9 checks

5x + 7y = -49

5(-7) + 7(-2) = -49

-35 -14 = -49

-49 = -49 Checks

Answer:

19 dollars

Step-by-step explanation:

What you have to do is find a way to make sure each book is the same price and it lowers to 16. First rule out 1-10. It wouldn't be possible. Next, try and start with the even numbers (16, 18, 20, and so on). It can't be twenty because 20 x 8 equals 160 and you're left with 16 dollars, not 8. so it's either 14, 15, 16, 17, 18, or 19. I calculated with my calcuator that it's not any of the answers but 19. So try it out!

Approximately 9.4 weeks (or about 2.3 months) to reach 75% awareness.

Using the formula

\(E = B x (1 + R)^T\),

we can solve for the time it will take to reach 75% awareness:

Let B = 3% (the beginning value of awareness)

Let R = 5% (the rate of growth per week)

Let E = 75% (the ending value of awareness)

75% = 3% x (1 + 5%)^T

Divide both sides by 3%:

25 = (1 + 5%)^T

Take the logarithm of both sides:

log(25) = T log(1 + 5%)

Solve for T:

T = log(25) / log(1 + 5%)

Using a calculator, we get:

T ≈ 9.4 weeks

Therefore, it will take approximately 9.4 weeks (or about 2.3 months) to reach 75% awareness.

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Answer:

b jnmnjbh  nmjhn

Step-by-step explanation:

Answer:

88.164

Step-by-step explanation:

First you find 82 percent of 489.8 and to do the we do

489.8 times .82

which equals 401.636

now we decrease 489.8 by 401.636

489.8 minus 401.636 equals

88.164

Answer:

i think it's 88.164

Step-by-step explanation:

if im wrong plz forgive me

a.  a11C11 + a12C12 + a13C13

b.  a11C11 - a21C21 + a31C31

c.  a21C21 - a22C22 + a23C23

d. -a12C12 + a22C22 - a32C32

e.  a31C31 - a32C32 + a33C33

f.  -a13C13 + a23C23 - a33C33

To evaluate the determinant in exercise 13 by a cofactor expansion along a, the first row. b, the first column. c, the second row. d, the second column. e, the third row. f, the third column, we can use the following steps:

First, we can use a cofactor expansion to evaluate the determinant along each of the six rows or columns in exercise 13. The cofactor expansion along the first row is shown below: a11C11 + a12C12 + a13C13.The cofactor expansion along the first column is shown below: a11C11 - a21C21 + a31C31.The cofactor expansion along the second row is shown below: a21C21 - a22C22 + a23C23.The cofactor expansion along the second column is shown below: -a12C12 + a22C22 - a32C32.The cofactor expansion along the third row is shown below: a31C31 - a32C32 + a33C33.The cofactor expansion along the third column is shown below: -a13C13 + a23C23 - a33C33.

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The function that describes the situation is given by:

A(t)=3400\(e^{0.04t}\)

Here, we have,

The function that describes the situation is given by:

A(t)=3400\(e^{0.04t}\)

Where:

A(t) represents the amount of money in the account at time t.

3400 is the initial deposit.

e is the mathematical constant approximately equal to 2.71828.

0.04 represents the interest rate expressed as a decimal (4% as a decimal).

t represents the time in years.

To find out how much you will have in t years, substitute the value of t into the function A(t) and calculate the result.

For example, if you want to know the amount after 5 years, you would calculate A(5):

A(5)=3400\(e^{0.04(5)}\)

     = 17693.78

Evaluate this expression we get the final amount.

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The total revenue function R(x) for a new computer game is given by R(x) = x • (50.5 - 4 ln(x)), where x is the number of games sold in thousands and p(x) is the price in dollars. To find the derivative of R(x), we use the product rule and obtain R'(x) = 46.5 - 4 ln(x). To determine the number of units sold when the price is $40, we set p(x) = 40 and solve for x, giving x ≈ 13.68 or about 13,680 units sold.

The total revenue function is given by R(x) = x • p(x), where p(x) is the price function. Substituting p(x) = 50.5 - 4 ln(x), we get:

R(x) = x • (50.5 - 4 ln(x))

To find the derivative of R(x), we use the product rule:

R'(x) = p(x) + x • p'(x)

where p'(x) = -4/x. Substituting p(x) and p'(x), we get:

R'(x) = (50.5 - 4 ln(x)) + x • (-4/x)

= 46.5 - 4 ln(x)

To find the number of units sold when the price is $40, we set p(x) = 40 and solve for x:

40 = 50.5 - 4 ln(x)

10.5 = 4 ln(x)

ln(x) = 2.625

x = e^(2.625)

Using a calculator, we get x ≈ 13.68. Therefore, about 13,680 units will be sold if the price consumers are willing to pay is $40.

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Answer:

1) one more day

2) 250 ml

Step-by-step explanation:

in a leap year-

may = 31 days

june = 30 days

july = 31 days

(92 days)

january = 31 days

february = 29 days

march = 31

(91 days)

so, there is 1 more day.

------

to solve, I will write the value of   2 tablespoons as 30 ml (using the conversion rate provided)

so, 1 curry uses 30 ml.

If you have made 8 curries, you have used 240 (8 × 30 = 240) ml

If you have 10mls left over, that means the full bottle has

used + 10 mls

and we know that we have used 240, so in a full bottle,

there must be 250 (240 + 10) ml

250 ml

hope this helps!! :)

Answer:

\(\textsf {See below :}\)

Step-by-step explanation:

\(\textsf {Question 1}\\\)

\(\textsf {The only difference in a leap year is that February will have 29 days.}\)

\(\implies \textsf {Days in May, June, July = 31 + 30 + 31 = 92}\)

\(\implies \textsf {Days in January, February, March = 31 + 29 + 31 = 91}\)

\(\implies \textsf {Difference = 92 - 91 = 1}\)

\(\textsf {There is 1 more day in May, June, and July combined than}\\\textsf {in January, February, and March combined in a leap year.}}\)

\(\textsf {Question 2}\)

\(\textsf {Oil used in making 1 curry = 2(15) = 30 ml}\)

\(\textsf {Full bottle = 8 curries + 10 ml}\)

\(\textsf {Full bottle = 8(30) + 10}\)

\(\textsf {Full bottle = 240 + 10}\)

\(\textsf {Full bottle = 250 ml}\)

Answer:

6, 9, 1

Step-by-step explanation:

a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

6 and 9

Step-by-step explanation:

I hope this helped!

Answer:

Ok so I think the answer is 4.8 points per minute

Step-by-step explanation:

Why because Uncle Drew scored 28 points in 5 \frac{5}{6} minutes. We have to convert the mixed fraction first:

t = 5 \frac{5}{6}=\frac{5\cdot 6+5}{6}=\frac{35}{6}

So, the time is 35/6 minutes.

In order to find the number of points he scored in a minute, we have to divide the total number of points by the number of minutes, so:

mean = \frac{28}{35/6}=28 \cdot \frac{6}{35}=4.8

So, he scored 4.8 points per minute.

I hope you foundthis helpful.

Answer:

Uncle Drew averaged  5/24  ​points per minute.

Answer:

2294

Step-by-step explanation:

Answer:

2294

Step-by-step explanation:

The episode with commercials consists of 60 minutes, and without those, it consists of 41.5minutes; therefore, 60-41.5=18.5 minutes are only commercials when the episode airs.

Divide those 18.5minutes into intervals of 0.5 minutes by calculating

Therefore, the equation is

Solving for c,

Then, the episode included 37 1/2-minute commercials.

Answer:51273.816238

Step-by-step explanation:

Answer:

they have 490 to buy bean bags

If there is no discount, the amount they can buy is 490/40=12,25>10, so they will get a discount

call the bean bag is X we have: X*40*(100%-10%) ≤ 490

⇒X≤13,6

they can buy at most 13 bag and they will have left 490-40*13*90%=22

Step-by-step explanation:

The value of y is y ≥ 1/6.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

3y + 1/4 ≥ 3/4

Solve for y.

3y + 1/4 ≥ 3/4

3y ≥ 3/4 - 1/4

3y ≥ 2/4

3y ≥ 1/2

y ≥ 1/6

Thus,

y ≥ 1/6 is the value of y.

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The surface area of a regular square pyramid is 332.64 square cm

We know that the surface area of pyramid is nothing but the sum of the areas of its lateral faces and its base.

surface area of pyramid

= areas of lateral faces of pyramid + area of base of pyramid

We know that the formula for the lateral surface area of regular pyramid is:

A = ½ × P × l

where P is the perimeter of the base and l is slant height

Here, a base of regular square pyramid with has sides of 13. 2 cm

a = 13.2 cm and slant height of 6 cm i.e., l = 6 cm

Using the formula of area of square, the base area of pyramid would be,

B = (13.2)²

B = 174.24 sq.cm.

the perimeter of base is:

P = 4 × 13.2

P = 52.8 cm

So, using the above formula of lateral surface area of pyramid the lateral surface area would be

A1 = 1/2 ×  52.8 × 6

A1 = 158.4 sq. cm.

So, the surface area of the pyramid is:

A = A1 + B

A =  158.4 + 174.24

A = 332.64 square cm

Therefore, the surface area of the pyramid = 332.64 square cm

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Answer:

x < 3 or x ≥ 11

Step-by-step explanation:

(-∞, 3) or [11, ∞)

Step-by-step explanation:

subtract 4 from each side

2x < 6 .     or .         3x  ≥ 33

x < 3 or x ≥ 11

make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.  

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

In mathematics, the y-intercept is the point where the graph of a function intersects the y-axis. It is the value of the function when the input variable (x) is zero. Here, the y-intercept for this table of data is 2.436 cm.

Finding the y-intercept can provide important information about the function, such as its starting point or the value of the function when the input is zero.

To find the y-intercept from a table of data, you need to identify the point where the x-value is zero or where the input variable is not present. In this case, we do not have an x-value of zero in the table, so we cannot directly determine the y-intercept from the given data.

However, we can use the data to find an equation that represents the relationship between the x-values and y-values in the table. One common method to find this equation is to use linear regression, which involves finding the line of best fit that passes through the data points.

Using linear regression on the given data, we obtain the equation: y = 0.103x + 2.436 where x represents the force in Newtons, and y represents the length in centimeters. This equation represents a linear relationship between force and length, where the y-intercept is 2.436 cm.

Therefore, the y-intercept for this table of data is 2.436 cm. It represents the value of the length when the force is zero or when there is no applied force.

In summary, the y-intercept is the point where the graph of a function intersects the y-axis, which can provide important information about the function. To find the y-intercept from a table of data, you need to identify the point where the input variable is not present and use regression analysis to find the equation that represents the relationship between the x-values and y-values in the table.

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Yes, Will Byers always made it a habit to pick up and keep all the coins he saw along the road whenever he was going or coming from school. At the end of the year, he counted each coin he had kept and found out that he had 582 pieces of 25-centavo coins, 89 pieces of 1-peso coin, 26 pieces of 5-peso coins, and 8 pieces of 10-peso coins.

Will Byers' habit of picking up coins from the road indicates his thrifty nature. Coins might seem insignificant, but they do add up over time. It's a smart practice to save and add to one's wealth.

To keep oneself accountable, it's also important to monitor and count the coins and cash that one has accumulated. This kind of habit builds discipline, teaches one to be mindful of their finances, and allows them to save up for things they want or need.

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Answer:

Step-by-step explanation:

Basically 3/8 "times" 2

The equations

8/2 = 4

So it will be 3/4

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Answer:

a, cube

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the base part is 20k and so you only have 2 answers left and you see the numbers are going up in value so it cant be lower than 1

Answer:

C

Step-by-step explanation:

I just took the test. Also, if you don't believe me, take a set of x and y values from the table and input them into the equation. :D (remember to round up)

Answer:

Option (4)

Step-by-step explanation:

Equation of a line passing through a point \((x_1,y_1)\) and with slope 'm' is,

y - y₁ = m(x - x₁)

Given → Slope 'm' = -2

Point through which the line is passing is (-1, -2)

x₁ = -1 and y₁ = -2

Therefore, equation will be,

y + 2 = -2(x + 1)

y = -2x - 2 - 2

y = -2x - 4

Option (4) is the correct option.

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."

__

The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.