There are two pizzas. Conor ate 1?4 of a pizza, Brandon 2?8, Tyler 3?4, and Audrey 4?8. Who ate the most of the two pizzas?

Answer:

[tex]304\dfrac{4}{7}\ milliliters[/tex]

Step-by-step explanation:

If there are 3 milliliters of compound A used for every 4 milliliters of compound B, then we can denote that we use 3x milliliters of compound A and 4x milliliters of compound B to get 533 milliliters of the drug. Thus,

[tex]3x+4x=533,\\ \\7x=533,\\ \\x=\dfrac{533}{7}\ milliliters.[/tex]

Hence, a chemist must take

[tex]4\cdot \dfrac{533}{7}=\dfrac{2132}{7}=304\dfrac{4}{7}\ milliliters[/tex]

of compound B.

Answer:

228.43 ml

Step-by-step explanation:

The ratio of compound A to compound B will be; 4: 3

4:3 is the same as 4x:3x where 4x is compound A and 3x is compound B.

We can solve for "x":

If amount of compound A is 4x  and compound B is 3x;

Then; 4x + 3x = 533

            7 x = 533

               x = 533/7

Then amount of compound B is 3x = 3(533/7)

                                                          = 228.43 ml

Answer:

The height of the cone is [tex]6.9\ units[/tex]

Step-by-step explanation:

we know that

The volume of the cone is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the circular base of the cone

h is the height of the cone

In this problem we have

[tex]V=29\ units^{3}[/tex]

[tex]r=2\ units[/tex]

Find the area of the base B

[tex]B=\pi r^{2}[/tex]

substitute the value of r

[tex]B=\pi (2)^{2}=4 \pi\ units^{2}[/tex]

Find the height of the cone

[tex]29=\frac{1}{3}(4 \pi)h[/tex]

[tex]h=29*3/(4 \pi)[/tex]

assume [tex]\pi=3.14[/tex]

[tex]h=29*3/(4*3.14)=6.9\ units[/tex]

Answer:

Part 1) The direct proportion is [tex]y=0.8x[/tex]. The graph is located on quadrants I and III

Part 2) The direct proportion is [tex]y=-0.4x[/tex]. The graph is located on quadrants II and IV

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Part 1) we have

[tex]y=0.8x-1.6[/tex]

Remember that

If two lines are parallel, then their slopes are the same

In this problem, the slope of the given line is [tex]m=0.8[/tex]

therefore

The direct proportion is [tex]y=0.8x[/tex]

The graph is located on quadrants I and III

see the attached figure to better understand the problem

Part 2) we have

[tex]y=-0.4+1[/tex]

Remember that

If two lines are parallel, then their slopes are the same

In this problem, the slope of the given line is [tex]m=-0.4[/tex]

therefore

The direct proportion is [tex]y=-0.4x[/tex]

The graph is located on quadrants II and IV

see the attached figure to better understand the problem

Answer:

2 spoonfuls of sugar in each coffee.

Step-by-step explanation:

If there are 10 spoonfuls of sugar in 5 coffees, simply divide 10 by 5. Then you find that for every 1 coffee, she puts 2 spoonfuls.

Answer:

Ava puts two spoons of sugar in each coffee.

Step-by-step explanation:

We can find this by dividing the total number of spoons of sugar by the total number of coffees.

10 spoons/5 coffees = 2 spoons per coffee

Equation: y= mx + b

y = -3x +5

Graph the y intercept first.

Go down three times on the y axis.

Go across one because of -3/1 .

The equation of the line is y = -3x + 5. To graph the equation, plot the y-intercept and use the slope to find additional points on the line.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -3 and the y-intercept is 5, so the equation of the line is y = -3x + 5. To graph the equation, start by plotting the y-intercept of (0, 5). Then use the slope to find additional points on the line. For every increase of 1 on the x-axis, the y-value decreases by 3. You can use this pattern to plot more points and draw a straight line connecting them.

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Answer:

30°

Step-by-step explanation:

Call the other end of the chord point B and the center of the circle point O. Then triangle AOB is an equilateral triangle, since OA = OB = AB.

Angle OAB is the internal angle of that triangle, so is 60°. Since OA is perpendicular to the tangent line (makes an angle of 90°), The angle between the tangent line and the chord must be ...

90° - 60° = 30°

___

The other way you know this is that central angle AOB is 60°, and the tangent-to-chord angle is half that, or 30°.

_____

One way to remember the angle relationship between a tangent line and a chord is this:

Consider a point C on long arc AB. The measure of inscribed angle ACB is half the measure of central angle AOB, no matter where C is on the circle. (If C happens to be on the short arc AB, then central angle AOB is a reflex angle, but the relationship still holds.) Consider what happens when C approaches A. The angle at vertex C is still the same: 1/2 the measure of central angle AOB. This remains true even in the limit when points A and C become coincident and line AC is a tangent at point A.

Graph both equations and find the X value when the lines cross.

See attached picture of the graph

X = 1

Or you could take logarithms of both sides where log(a^b) = b loga to also find the value of x.

Answer:

x = 1

Step-by-step explanation:

Given in the question,

[tex](16/9)^{-2x+5} = (3/4)^{(x-7)}[/tex]

Take logarithm on both sides

[tex]ln(16/9)^{-2x+5} = ln(3/4)^{(x-7)}[/tex]

Apply power rule of logarithm

(-2x+5)ln(16/9) = (x-7)ln(3/4)

cross multiply

(-2x+5)/(x-7) = [tex]\frac{ln(3/4)}{ln(16/9)}[/tex]

-1/2 = (-2x+5)/(x-7)

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

-x + 7 = -4x + 10

rearrange the terms, x terms to left and constant to right

-x + 4x = 10 - 7

3x = 3

x = 1

Answer:

i think its d

Step-by-step explanation:

because thats 18 times 72

Answer:

the answer is c i just answered this on usatestprep

Step-by-step explanation:

Using the two smallest sizes divide the larger of the two by the smaller one:

1 / 0.618 = 1.618

The scale factor is 1.618

Now multiply 1 by that:

1 x 1.618 = 1.618

The missing font size is 1.618.

Can check by multiplying the missing size by the scale factor:

1.618 x 1.618 = 2.618

Answer:

1.618

I hope this helps.

40 units2˛

   Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

  The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

 L = sqrt((2 - -6)^2 + (1 - -1)^2)

 L = sqrt(8^2 + 2^2)

 L = sqrt(64 + 4)

 L = sqrt(68) = 2*sqrt(17)

  W = sqrt((2-3)^2 + (1- -3)^2)

 W = sqrt((-1)^2 + 4^2)

 W = sqrt(1 + 16)

 W = sqrt(17)

  And the area is length * width, so:

 2*sqrt(17)*sqrt(17) = 2 * 17 = 34

  And the total area is the sum of the areas, so

 34 + 6 = 40

  So the area of the figure is 40 square units.

Answer:

40 units ^2

Step-by-step explanation:

when finding an odd shaped figure, make sure to divide it up into porportions. Then figure out the square and then the triangles.

the answer would be: 40 units ^2

hope this helps!!

So to estimate, I would look at each set of numbers and determine which ones have higher numbers. For example in the first set the highest I see is 12x5=60

In the second set I see 14 AND 16 automatic telling me to estimate that Destiny has more using 14x4=56, but keeping in mind there is a 16 as well...

Answer:

I think the answer would be 42 Km.

Step-by-step explanation:

So i multiplied 17 x 2 which is 34, and then i multiplied 4 x 2 which is 8 . Then I added 34 + 8 and got 42. So 42Km

ANSWER

A. (8,9)

EXPLANATION

The point that divides,

[tex]A(x_1,y_1), B(x_2,y_2)[/tex]

in the ratio m:n is given by

[tex]x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex]y= \frac{my_2 + ny_1}{m + n} [/tex]

The given points are A(0,15) B(20,0)

the ratio is 2:3.

This implies that, m=2,n=3.

[tex]x_1=0,x_2=20,y_1=15,y_2=0[/tex]

We plug in the values to get:

[tex]x = \frac{2 \times 20 + 3 \times 0}{2+ 3} [/tex]

[tex]x = \frac{40}{5} = 8[/tex]

[tex]y= \frac{2 \times 0 + 3 \times 15}{2+ 3} [/tex]

[tex]y= \frac{45}{5} = 9[/tex]

Hence the required point is

(8,9)

The correct answer is A.

Answer:

Refer to step-by-step.

Step-by-step explanation:

Fixed Cost Per Deck = Total Fixed Cost/Estimated Deck Sales

Fixed Cost Per Deck = 85000/13000

Fixed Cost Per Deck  = $7.08

Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost

Break Even Point in Units = 85000/11.95 - 3

Break Even Point in Units = 9497

Fixed Cost Per Deck = Total Fixed Cost/Estimated Deck Sales

Fixed Cost Per Deck = 85000/10000

Fixed Cost Per Deck  = $8.50

Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost

Break Even Point in Units = 85000/12.95 - 3

Break Even Point in Units = 8543

Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost

Break Even Point in Units = 85000/13.45 - 3

Break Even Point in Units = 8134

1.Total Cost = Variable Cost/unit x Units Produced + Fixed cost

Total Cost = (3 x 13000) + 85000

Total Cost = 39000 + 85000

Total Cost = $124000

2.Total Cost = Variable Cost/unit x Units Produced + Fixed cost

Total Cost = (3 x 10000) + 85000

Total Cost = 30000 + 85000

Total Cost = $115000

3. $12.95 and $13.45.

Because the total cost is greater than the revenue.

Let's try at $12.95:

Revenue  = 12.95 x 8000

Revenue = $103600

Total Cost = (3 x 8000) + 85000

Total Cost = 24000 + 85000

Total Cost = $109000

Profit = Revenue - Total Cost

Profit = 103600 - 109000

Profit = $-5400

Now at $13.45:

Revenue = 13.45 x 7000  

Revenue = $94150

Total Cost = (3 x 7000) + 85000

Total Cost = 21000 + 85000

Total Cost = $106000

Profit = Revenue - Total Cost

Profit = 94150 - 106000

Profit = $-11850

4. The fixed costs to produce $13.45 decks is so much greater than the fixed costs to produce 10.95 due to the estimated deck sales.

The domain of Function A, defined as f(x) = -3x + 2, is all real numbers, as it is a linear function with no restrictions on x-values. Function B's domain would depend on its specific definition but is also valid as long as each input maps to a unique output.

The domains of Function A and Function B can be compared based on the definition of a function's domain. The domain is all the input values (x-values) for which a function is defined. Since Function A is defined as f(x) = -3x + 2, it is a linear function without any restrictions on the x values, meaning the domain of Function A is all real numbers.

The description of Function B isn't provided in the question, but from the referenced information, we can understand that Function B is also a function as long as each element of its domain maps to a unique value in its range.

Were we to have the specifics of Function B, we could determine if it also has a domain of all real numbers or whether it has a more restricted domain, such as when a function includes a square root or division by variables which would exclude certain x-values to avoid undefined expressions.

A Polygon is shape with straight sides and must be closed. Polygon sides never touch and are classified according to the number of its sides. So:

If you have the coordinate plane, there are several ways to calculate the perimeter and area. If the polygon meaning that every side must have the same length and every angle must have the same measure, you just need the coordinates of two points and by using the distance formula you can calculate the length of that side. Then you must multiply the number of sides by that distance and this is the perimeter, but if the polygon is irregular you must calculate the length of each side of the polygon using the distance formula and then make the sum. To compute the area, you must divide the entire polygon in triangles, rectangles, parallelograms, etc, and then calculating the area of each figure using the formulas known for each type of figure.

If you don't have the coordinate plane, you need to have the length of each side to calculate the perimeter or each side should be calculated by using trigonometry and other mathematical skills. If the polygon is regular or is a known figure (trapezoid, parallelogram, triangle) you can use the formulas you know to compute the area of that figure. On the other hand, if the polygon is irregular you should divide the polygon in other simple figures and calculate each area and then making the sum.

_______________________

In conclusion, for both ways you need to have the length of each side to find the perimeter and can use well known formulas to find the area of the figure.

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

Let B represents the event that student has blue eyes.

So, P(B) = 60% = 0.60

Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35

We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58[/tex]

Therefore, there is 0.58 or 58% probability that the student will have dark hairs, given that the student has blue eyes.

Answer:

B. None of these plants is yet producing actual widgets.

Step-by-step explanation:

As we can see in the graph, the number of days is on the x axis, and the number of widgets at y axis.

At 10 days, no line is above the '0' means no one is producing widgets at 10 days point.

Since the y axis represents number of widgets produced, this means none of the plants have produced more than 0 widgets yet.

So, option B is the answer.

Answer:

C)  We use csc = [tex]\frac{1}{sinx}[/tex] to verify.

Step-by-step explanation:

Given : [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.

To find : What basic trigonometric identity would you use to verify.

Solution : We have given that  [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.

To  verify we need to show left hand side equal to right hand side.

For right hand side

1 +csc x  

By csc = [tex]\frac{1}{sinx}[/tex].

Plug the value  csc = [tex]\frac{1}{sinx}[/tex].

1 +  [tex]\frac{1}{sinx}[/tex].

Taking least common multiple

[tex]\frac{sinx +1}{sinx}[/tex] = left hand side.

We can see this is equal to left hand side

Hence , left hand side = right hand side.

Therefore, C)  We use csc = [tex]\frac{1}{sinx}[/tex] to verify.

Answer:

[tex]\large\boxed{x\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]f(x)=(52)(47)^{x-4}[/tex]

It's an exponential function.

The domain of an exponential function is the set of all real numbers.

Answer: first option

Step-by-step explanation:

As you can see in the figures shown in the image attached, the lenght of a side of the smaller figure is 2 inches and the the lenght of a side of the larger figure is 4 inches.

Therefore, you can find the ratio as following:

[tex]ratio=\frac{2in}{4in}[/tex]

Now, you must reduce the fraction. Therefore, you obtained that the ratio of the perimeters of the figures is:

 [tex]ratio=\frac{1}{2}[/tex]

Which can be written in the following form:

[tex]ratio=1:2[/tex]

Then, the answer is the first option.

Answer: 1.06

Step-by-step explanation:

This is the answer because the price of the shoes is s, and the tax is 0.06s. The total cost of the shoes with tax is s+0.06s= 1.06s

Answer:

Your answer is 1.06

Step-by-step explanation:

Hey there!

#1 The correct choice is D. Athletic

Anaya was the state track champion for all four years of high school. She likely received a(n) ATHLETIC scholarship.

#2 The correct choice is B. Academic

Ramon was a straight-A student in high school. He likely received a(n) ACADEMIC scholarship.

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

2x-4+50=100

2x-4=50

2x=54

x=27º

2x+4x=90

6x=90

x=15º

1. Simplify 100 = (2x - 4) + 50

x = 27

2. Complementary mean the angles equal 90 degrees when added, so

90  = 2x + 4x

x = 15

Answer:

[tex]\frac{\pi }{10}[/tex]

Step-by-step explanation:

The area (A) of the sector is calculated using the formula

A  = area of circle × fraction of circle

let x be the measure of the central angle, then

A = πr² × [tex]\frac{x}{2\pi }[/tex] ← substitute values

5π = π × 10² × [tex]\frac{x}{2\pi }[/tex]

5π = 100π × [tex]\frac{x}{2\pi }[/tex] (cancel 50π and 2π )

5π = 50x ( divide both sides by 50 )

x = [tex]\frac{5\pi }{50}[/tex] = [tex]\frac{\pi }{10}[/tex] ← central angle

Final answer:

The measure of the central angle that forms a sector with an area of 5π in a circle of radius 10 is 18 degrees.

Explanation:

To calculate the measure of the central angle that forms the sector of a circle with a radius of 10 units and an area of 5π, we need to use the formula for the area of a sector, which is A = (θ/2) × r², where A is the area of the sector, θ is the central angle in radians, and r is the radius of the circle.

First, let's substitute the given values into the formula:

Now, we can set up the equation:

5π = (θ/2) × 10²

5π = (θ/2) × 100

To find the central angle, we solve for θ:

θ = (2 × 5π) / 100

θ = 0.1π radians

To convert radians to degrees, we use the conversion factor that 180° = π radians:

θ in degrees = 0.1π × (180/π)

θ in degrees = 18°

Therefore, the measure of the central angle that forms the sector is 18 degrees.

Answer:

-1066.65  to 2 decimal places.

Step-by-step explanation:

(−800)+(−200)+(−50)+(−12.5)+...

This is a Geometric series with common ratio  r =(-200) / ) / (-800)  = 0.25 and first term  a1 = -800.

Sum of n terms = a1 * (1 - r^n) / (1 - r)

Sum of 8 terms = -800 * (1 - 0.25^8) /  (1 - 0.25)

= -800 * 1.333313

= -1066.65.

The sum of the first eight terms of the geometric sequence is given by: −1066.65

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{a_1(r^n - 1)}{r - 1}[/tex]

In this problem, we have that the first term and the common ratio are, respectively:

[tex]a_1 = -800, q = \frac{-200}{-800} = 0.25[/tex]

Hence, the sum of the first eight terms is given by:

[tex]S_n = \frac{-800(0.25^8 - 1)}{0.25 - 1 } = −1066.65[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

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Answer:the answer is c I literally just took this lol can I get brainliest pls

Step-by-step explanation:it would be helpful and my first

[tex]24 \div 8 = 3 \: photos \: in \: 1 \: minute[/tex]

[tex]3 \: photos \: per \: 1 \: minute\: \times 3 \: minutes \: \\ = 9 \: photos \: per \: 3 \: minutes[/tex]

9 photos

Answer:

True

Step-by-step explanation:

we know that

A non-negative number is a real number greater than or equal to zero

In this problem

we have

[tex]x\geq 0[/tex]

The solution of the inequality is all real numbers greater than or equal to zero   [0,∞)

Therefore

[tex]x\geq 0[/tex] express a non-negative number in symbols