A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?

Answer:

-8

Step-by-step explanation:

\( - 9 \frac{1}{3} - ( - 1 \frac{1}{3} )\)

\(- \frac{28}{3} + 1 \frac{1}{3}\)

\( - \frac{28}{3} + \frac{4}{3} \)

\( \boxed{\green{= - 8}}\)

c.) 1/2³ i got it right on assignment

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

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9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Answer:

Number of black counters = 5

Step-by-step explanation:

Let,

x be the total number of counters

Number of red counters = \(\frac{1}{3}x\)

Number of black counters = \(\frac{1}{6}x\)

Number of green counters = 15

Now,

Red counters + Black counters + Green counters = Total counters

\(\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90\)

Dividing both sides by 3

\(\frac{3x}{3}=\frac{90}{3}\\x=30\)

Number of black counters = \(\frac{1}{6}*30\) = 5

Hence,

Number of black counters = 5

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

The distribution of snowfall amounts is best described as bimodal, with modes at 2 inches and 7 inches. So, the range is a more appropriate measure of variation than the standard deviation.

A bimodal distribution can be identified in a histogram when two distinct groups can be seen there. A bimodal distribution actually has two modes or two different data clusters.

In a bimodal distribution, no particular data value has the highest frequency of occurrence, rather two data values have the highest frequency.

The line plot of the distribution by Damon has two modes and is, therefore, bimodal.

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Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

Answer:

$352

Step-by-step explanation:

76.58+13.61=90.19

261.81+90.19=352

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

Step-by-step explanation:

in this kinda question, you need to know that if a line is

parallel to another line, it will have the same slope if it's

perpendicular, it will be negative reciprocal of the slope

thus, if the line is parallel to the one in the question, it will have a slope of 3/4.

and now just substitute the point that is given. (it's a solution of the equation btw)

so -6 = 3/4 (0) + b (the reason we dont include the (-4) is because it will have a different y-interecept, so we need to solve for b)

b=-6.

so y=3/4x - 6

i'll answer more questions if you mark me brainliest!

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}\)

\(A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}\)

Answer:

Step-by-step explanation:

make a right triangle to find the lenght of a side  which is also the hypotenuse of the triangle

c² = a² + b²

c² = 7² + 5²

c²  = 49 + 25

c²  =  = 74

Since the area of a square is s² and c = s

a = c²

a = 74 units²

The total number of transistors in the Titan is equal to 5.950 × 10²¹ transistors.

A supercomputer simply refers to one of the most powerful computers that is designed and developed for handling, evaluating, and solving very complicated problems, calculations, or tasks, better than ordinary desktop or laptop computers.

In order to determine the total number of transistors in the Titan, we would multiply the number of transistors in its central processing unit (CPU) by the number of transistor in its graphics processing unit (GPU) as follows:

Total number of transistors = 4.485 × 10¹⁰ × 1.3268 × 10¹¹

Total number of transistors = (4.485 × 1.3268) × (10¹⁰ × 10¹¹)

Total number of transistors = 5.950 × (10⁽¹⁰ ⁺ ¹¹⁾)

Total number of transistors = 5.950 × 10²¹ transistors.

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Complete Question:

Supercomputers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer, the Titan, has 4.485 × 10¹⁰. transistors in its central processing unit (CPU) and another 1.3268 × 10¹¹. transistor in its graphics processing unit (GPU). Find the total number of transistors in the Titan. Show your working and give your answers in standard form.

Answer:

Step-by-step explanation:

It looks, by the markings, that ABC is equilateral.

That means that all three sides should be equal.

4x - 30 = 3x - 5             Subtract 3x from both sides

4x-3x - 30 = - 5             Combine

x - 30 = -5                      Add 30 to both sides

x = - 5 + 30

x = 25

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

To confirm, you need to involve BC

3x - 5 = 2x + 20            Subtract 2x from both sides

3x - 2x - 5 = 20             Add 5 to both sides

x = 20 + 5

x = 25

Conclusion: x = 25

Answer:

70

Step-by-step explanation:

( X/100)*73 - (51/100)*48=26.62

73x-2438= 2662

73x=5110x=70

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Answer:

10 ? or 7.6 ?

(not 100% sure)

Answer:

6/30

Step-by-step explanation:

20 percent of 30 is 6 ^_^

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70