brett needs 2/3 cups of yogurt for one smoothie. He wants to know how many smoothies he can make with 2 4/6 cups of yogurt. which division expression can be used to represent the situation

Question: \(2*3y^{2} -2(x-y^{2} )\)

Answer: \(8y^{2} -2x\)

The requried game should start no later than 10:30 am to ensure that the team finishes on time.

If the game is at most 1 3/4 hours long, then the latest it can end is 1:45 pm (which is 1 hour and 45 minutes after the start time).

If the team needs to be off the field by 12:15 pm, then the latest the game can start is:

12:15 pm - 1 hour and 45 minutes = 10:30 am

Therefore, the game should start no later than 10:30 am to ensure that the team finishes on time.

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The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

Step-by-step explanation:

The Kevin leans 24.58 feet high up the wall does the ladder reach.

We have given that,

Kevin leans a 26-foot ladder against a wall so that it forms an angle of \(71^{\circ}\)ground.

and we have to find the  high up the wall does the ladder reach.

we have to use the trigonometric ratio.

\(sin(\theta)=\frac{opposite}{hypotenuse}\)

So find the height of the wall we have to use the sine ratio suppose the height is x feet

We can see in diagram,

\(sin(71)=\frac{x}{26} \\26 sin(71)=x\\x=24.58\)

Therefore,the Kevin leans 24.58 feet high up the wall does the ladder reach.

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Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

⇢∠V + ∠T = ∠x

⇢53° + 103° = 156°

⇢∠VUX = 156°

‌

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Hence , option b is the correct answer.

Answer:

B) 156 is correct

Hope it helps

Answer:

4x - 8

Step-by-step explanation:

k - H(x)

(9x -2) - (5x + 6)

4x -8

Answer:

35

Step-by-step explanation:

The answer might be 7 i don't know

Answer:

w = 7 feet

Step-by-step explanation:

The area of the rectangle, 70 ft², is equal to the length, 10 ft, times the width, w.

So, to find w, we can divide the area by the length.

w = 70 / 10

w = 7

The width is equal to 7 feet.

We can check this by multiplying the given length by the width that we've calculated to see if the area is equal to 70 feet².

10 · 7 = A

70 = A

Because the area we found is equal to the given area, our calculations are correct.

I hope this helps ^^

Good luck n.n

Check the picture below.

so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)

Answer:

A = πx² - 2πx + π

Step-by-step explanation:

The area of the new cup opening :

We are given the area formula to use :

Area, A = πr²

r = Radius = x-1

Area = π(x - 1)²

A = π(x - 1)(x - 1)

A = π(x² - x - x + 1)

A =π(x² - 2x + 1)

A = πx² - 2πx + π

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

It’s siu

Step-by-step explanation:

Answer:x≤4.6

Step-by-step explanation: 2x-6(x-3)≥5. 1).combine the like terms. 2x+x=3x & -6+-3=-9. 2). isolate the "x". 3x-9≥5. 3x≥14. 3). divide both sides by your coefficient. 3x≥14/ 3

x≥4.6

4) flip your sign. x≤4.6

The area of the composite figure in this problem is given as follows:

284.5 mm².

The figure in this problem is composed as follows:

The area of the rectangle is given as follows:

18 x 10 = 180 mm².

The area of the triangle is given as follows:

0.5 x 19 x 11 = 104.5 mm².

Then the total area is given as follows:

180 + 104.5 = 284.5 mm².

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Probability of winning, you guess the position of each digit is 0.00833 and Probability of winning when you know the first correct piece is 0.04167.

There are 5 pieces to form a car.

Total number of arrangement of these 5 pieces is 5! = 5×4×3×2×1 = 120 ways

Of these 120 arrangements only 1 arrangement will form a proper car

(a) Probability that each position's guess is correct is = 1/ 120

Thus, the probability of getting all the guesses correct is 0.00833 or 0.833%.

(b) It is given that we know the first correct piece.

That is we need to guess the other 4 from the 4 remaining pieces.

Total number of arrangement of these 5 pieces is 4!

= 4×3×2×1 = 24 ways

Of these 24 arrangements only 1 arrangement will form a correct arrangement with the known first piece.

Probability that each position's guess is correct = 1/24

Thus, the probability of getting all the guesses correct when we know the first correct piece is 0.04167 or 4.17%.

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Answer: 3/4

Step-by-step explanation:

Both 81 and 108 are divisible by 27

7:1 2:14 3:21 4:28 5:35 6:42 7:49

Hope you do your best

Answer: $15,000

Step-by-step explanation:

Given the following :

Percentage earned as commission = 20% of profit.

What is Graydon’s gross pay for the month.

Sales for the month = $350,000

Profit on sales for the month = $75,000

Graydon’s earning is 20% of the profit made :

Hence, Graydon's gross pay for the month :

20% of $75,000

= 0.2 × $75,000

= $15,000

Graydon’s gross pay for the month is $15,000

Answer:

Step-by-step explanation:

180 - ( 37+67) = 180 - 104

                      = 76°

Trigonometry is best used in navigation to estimate where to point the compass to get a straight line. It will be simple to pinpoint a location as well as find distance and see the horizon using a compass and trigonometric functions in navigation.

The area of mathematics known as trigonometry examines the correlation between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are used to study this relationship. The concept of trigonometry was developed by the Greek mathematician Hipparchus, and the word trigonometry is a derivative of Latin from the 16th century.

One of the most significant area of mathematic is rigometry. The words "Trigonon" and "Metron," which mean respectively "triangle" and "measure," are combined to form the word "trigonometry." It is the investigation of how a right-angled triangle's sides and angles relate to one another. Therefore, using formulas and identities based on this relationship aids in determining the measure of a right-angled triangle's unknown dimensions.

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Full question:

What is the best use of trigonometry?

9 orangess + 8 apples - 2 apples

Here apples are the like terms...

9 oranges + 8 apples - 2 apples

= 9 oranges + 6 apples

¢αяσυѕєℓ :)

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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It has exactly two zeros .

f (x) = x^2 + 0x + 0 is it's extended form so I think the answre is number B.

Answer: This data can be proven to be incorrect using the Principle of Inclusion-Exclusion.

The Principle of Inclusion-Exclusion states that for two events A and B, the number of elements in the union of A and B is equal to the sum of the number of elements in A and the number of elements in B minus the number of elements in their intersection.

Let's denote the number of students who failed in Maths as M, Accounts as A, and Costing as C.

From the information given, we have the following relationships:

M = 750

A = 600

C = 600

A ∩ C = 150

M ∩ A = 450

M ∩ C = 400

M ∩ A ∩ C = 75

Applying the Principle of Inclusion-Exclusion, the number of students who failed in at least one subject is:

M + A + C - (A ∩ C) - (M ∩ A) - (M ∩ C) + (M ∩ A ∩ C) = 750 + 600 + 600 - 150 - 450 - 400 + 75 = 925

However, the number of students who appeared for the exams is 1000, which means that the number of students who passed in all subjects should be 1000 - 925 = 75.

But we have already determined that the number of students who failed in all subjects is 75, which means that there are 75 students who are counted twice. This leads to a contradiction, and therefore the data given cannot be correct.

Step-by-step explanation:

The cost of wrapping both boxes would be = $1.13

Surface Area of a rectangular prism = 2 (lh +wh + lw )

where length = 0.6

width = 1

height =1.2

The surface area of Box A

= 2( 0.6×1.2+1×1.2+0.6×1)

= 2( 2.52)

= 5.04ft²

where length = 0.5

width = 1.6

height =1.6

Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)

= 2(4.16)

= 8.32ft²

The total area of the boxes = 5.04+8.32 = 13.36

But 6.79 = 80 ft²

X = 13.36ft²

make X the subject of formula;

X = 13.36×6.79/80

X = 90.7144/80

X= $1.13

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The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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The two factors of the first number 36 which their sum is equal to 13 are 4 and 9.

Factor is a number that divides another number without a remainder. That is if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product.

The first number 36 have the following factors:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

the factors 4 and 9 will be the factors in question because;

4 × 9 = 36

4 + 9 = 13

Therefore, 4 and 9 are the two factors of 36 that their product is the first number 36 and their sum is the second number 13.

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.