A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water shoul
used with 2 cups of sugar?

Answer:

min250 max507 Q1=307  Q2=255  Q3=435

Step-by-step explanation:

The five-number summary of this data set is {250, 255, 307, 435, 507}

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]

We are given that;

The data set= {425, 255, 267, 507, 307, 435, 253, 250, 433}

Now,

The five-number summary of a data set consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum12.

To find the five-number summary of this data set, follow these steps:

Put the numbers in ascending order: {250, 253, 255, 267, 307, 425, 433, 435, 507}

Find the minimum: The smallest number is 250

Find the maximum: The largest number is 507

Find the median: The middle number is 307

Find Q1: The median of the lower half of the data is 255

Find Q3: The median of the upper half of the data is 435

Therefore, by the mean the answer will be {250, 255, 307, 435, 507}

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#SPJ3

The angle of the water slide is 60 degrees.

The equation that models his work is 3 × 20 = 60 degrees.

He wants to measure the angle of a water slide at the lake.

He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.

He noticed three folded paper angle fits in the angle made by the slide and the ground.

Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:

20 × 3 = 60 degrees

learn more on angles here: https://brainly.com/question/16746032

Answer:

B

Step-by-step explanation:

-6x + 6 = 2x - 9

-6x + 15 = 2x

15 = 8x

x = 15/8

Answer:

[1] 8

[2] 10

[3] 8.5

[4] 8

Step-by-step explanation:

[1] What is the mode of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8

Explanation: Mode = Appears Most

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[2] How many people were in the sample?

Answer = 10

Explanation:

Each x = 1 person

Hence, it a total of 10 "x" (10 People)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the median of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8.5

Explanation:

Median = Middle

5,8,8,8,8,9,9,9,10,10

5,8,8,8,8,9,9,9,10,10

8 + 9 = 17/2 = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4]  What is the mean for the data set, to the nearest whole number?

Answer = 8

Explanation:

Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count

5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4

8.4 Round = 8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Answer:

1/72

Step-by-step explanation:

16 * 18 = 288

4/288 = 1/72

Answer: x-3

Step-by-step explanation:

It’s a variable

Answer:

As it ایس the correct answer is 45

78

7.90

Answer:

Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well

Step-by-step explanation:

Let C be the total cost;

[tex]c = 28 \times 30 = 840[/tex]

Let R be the total revenue;

[tex]r = 28 \times 25 = 700[/tex]

Let P be the net profit;

[tex]p = r - c[/tex]

[tex]p = 700 - 840 = - 140[/tex]

There was a 140$ net loss.

Answer:

A and E  MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

[tex]=================================[/tex]

Option A is correct & here's why.

When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)

So if we have 1/4, then its reciprocal is 4/1, or just 4.

Hence, Option A (1/5÷4) is correct.

[tex]==============================[/tex]

~DiamonD~

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = -1/3 x +4

So : product for two slopes = -1   means : m×-1/3=-1

m = 3

now : y = 3 x+b

but this line :

through the point (4,3) : 3 =3(4)+b.......    b=-9

conclusion :

the equation is : y =3x -9

Answer:  49.44807

Round that however you need to. Unfortunately the rounding instructions on the screenshot are cut off, so I cannot see what that part says.

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(22) = h/132

h = 132*sin(22)

h = 49.44807

Answer:

{ - 2 , 8 }

Step-by-step explanation:

[tex]log_{4}[/tex] ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8

{ - 2 , 8 }

the answer is D i added then subtracted

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736

Answer:

C. Reflection, translation

Step-by-step explanation:

If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.

I hope this helps! Have a lovely day!! :)

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.

The determinant of the matrix A is as follows:

|A| = 48

Therefore,

48 = (3x × 2x) - (4x × 3)

48 = 6x² - 12x

6x² - 12x - 48 = 0

3x² - 6x - 24 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2 -4(x + 2) = 0

(x - 4)(x +2) = 0

Therefore,

x = 4 or -2

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Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:

[tex]\frac{h}{64} = \frac{105}{24}[/tex]

Applying cross multiplication:

24h = 64 x 105

h = 64 x 105/24

h = 280

The height of the pineapple is of 280 inches = 23 ft 4 in.

More can be learned about proportions at https://brainly.com/question/24372153

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: https://brainly.com/question/26484024

Answer:

d. 72

Step-by-step explanation:

Answer :D

64

Step-by-step explanation:

We have, 125% x x = 80

or [tex]\frac{125}{100}[/tex] x x = 80

Multiplying both sides by 100 and dividing both sides by 125,

we have x = 80 x [tex]\frac{100}{125}[/tex]

x = 64

(or just divide 80 x 100 ÷ 125)

Hope this helps - Answered by Lilo

Answer:

12,600

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

Together they equal 7/12

The different is 5/12

5/12 = .416666 =.42

.42 x 30,000 = 12,600

One way to test if a graph is a function or not is by doing a vertical line test.

The vertical line test is tested by testing if any vertical line is drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function, if there isn't any such line, the graph is a function.

Hope that helps!

Answer:

Vertical line test. (literally what it say)

Step-by-step explanation:

Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Therefore you would have x value being the same for several points.

Answer:

15 outfits

Step-by-step explanation:

Given

Probability : No. of outfits

P.S. Sorry I couldn't create the probability table.

Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.

Weight:

Using this formula

Chocolate weight=Current weight-Actual weight

Where:

Current weight=0.384

Actual weight=0.3798

Let plug in the formula

Chocolate weight=0.384-0.3798

Chocolate weight=0.0042 ounce

In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.

First graph

#A

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]

#B

Vertex will be maximum

Coordinates are

#C

[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]

Part A

To find x-intercepts, the f(x) will be 0

[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]

[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]

[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]

[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]

[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]

[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]

find y-intercept:

to find y-intercept, x will be 0

[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]

[tex]\sf f(x) = 3[/tex]

Part B

To find vertex use the formula: x = -b/2(a)

[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]

[tex]\sf \rightarrow x = 0.6875[/tex]

find y coordinates:

[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]

[tex]\sf f(x) =10.5625[/tex]

coordinates of vertex: (0.6875, 10.5625)

As its positive and greater than 0, the vertex will be Maximum.

part C

To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.

Graph attached:

Answer:

k^2+25

Step-by-step explanation:

Factor k^2+25

=k^2+25

Doesn't factor

Using the unit circle, it is found that the approximate decimal value of tan(α) is given by -3.274.

For an angle [tex]\alpha[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\alpha}, \sin{\alpha})[/tex].

In this problem, we have point (-0.292, 0.956), hence [tex]\cos{\alpha} = -0.292, \sin{\alpha} = 0.956[/tex].

Applying the definition of the tangent, we have that:

[tex]\tan{\alpha} = \frac{\sin{\alpha}}{\cos{\alpha}} = \frac{0.956}{-0.292} = -3.274[/tex].

Hence the second option is correct.

More can be learned about the unit circle at https://brainly.com/question/16852127

The answer: -3.274.
Hope you got it right! :)