A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?

Answer:

D -6.4

Step-by-step explanation:

Opposite numbers are the same numbers but with opposite signs.

the answer should be -6.4

Answer:

135 jokes

Step-by-step explanation:

3 months = 90 days

90/2 = 45 days of new jokes

45 days x 3 jokes per day = 135 jokes

Answer:

Company balance$2,170

Service fees: $(67)

NSF check: $(170)

Note received: 1,100

Interest earned: 17

Reconciled company balance: $3,050

Step-by-step explanation:

Reconciled cash balance = 2345 - 74 + 1200 - 240 +24

= $ 3255.

Conclusion : Reconciled cashbalance = $ 3255.

Hope this answers it.

Answer:

His weekly expense is $12.50.  You did not mention how much he earned but you would subtract the 12.50 to find out how much he earned after his expense.

Step-by-step explanation:

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

$365

Step-by-step explanation:

did the math

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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Answer: I think its A

Step-by-step explanation:

it's a

Answer:

1/4

Step-by-step explanation:

3/12 simplified is 1/4 because both the numerator and the denominator are divisible by 3. After dividing the numerator and denominator by 3, you get 1/4.

Answer:

1/4

Step-by-step explanation:

Dived both the numerator and denominator by the gcd of 12 and 3 which is 3.

3/3=1 and 12/3=4 ==> 3/12=1/4

Answer:

75 dollars

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

3 3/4 = 3.75

9/3.75 = 2.4

Answer: (z + 2)(z - 3)

Step-by-step explanation:

First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:

(z - 3)(z + 2).

Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.

Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.

\(27^{\frac{2}{3} }\) in radical form is \(\sqrt[3]{27^{2} }\)

The value of the expression is 9. The correct option is A

From the question, we are to write the given expression in radical form and then evaluate

The given expression is

\(27^{\frac{2}{3} }\)

From one of the laws of indices

\(x^{\frac{m}{n} } =\sqrt[n]{x^{m} }\)

∴ \(27^{\frac{2}{3} }\) in radical form is \(\sqrt[3]{27^{2} }\)

Now, we will evaluate the expression

\(\sqrt[3]{27^{2} }\)

= \(\sqrt[3]{729}\)

= 9

Hence, the value of the expression is 9. The correct option is A

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Answer:

336 ft³ or 336 cubic feet

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2(8 x 14)

Area triangle = 1/2(112) = 56 ft²

56 ft² * 6 ft = 336 ft³

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Answer:

Step-by-step explanation:

Given the perimeter of a rectangle P = 80 inches

Let 'x' be the width of a rectangle.

i.e.

x = width

As the length of a rectangle is three times its width. Thus,

length = 3x

We know that perimeter is the sum of all the sides (width and length) of a rectangle. So,

The Perimeter of a rectangle = 2(width + length)

substituting P = 80, width = x, length = 3x

80 = 2(x + 3x)

80 = 2x + 6x

80 = 8x

divide both sides by 8

80/8 = 8x/8

10 = x

Thus, the value of x = 10

Therefore,

The width = x = 10 inches

The length = 3x = 3(10) = 30 inches

Thus,

Answer:

Answer is B

Step-by-step explanation:

because is if z is divided by 2

the z is variable and 2 is constant

so I automatically convert into given question

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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Answer:

5

Step-by-step explanation:

Answer:

₹66,000

Step-by-step explanation:

If 5/6 is 55,000 then just multiply 55,000 by the reciprocal  6/5 to get 66,000

11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Answer:

C.34

Step-by-step explanation:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

9514 1404 393

Answer:

  Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)

Step-by-step explanation:

Each of the individual coordinate values is multiplied by 3.

  (x, y) ⇒ (3x, 3y)

__

  Q(-2, 3) ⇒ Q'(-6, 9)

  R(-3, 1) ⇒ R'(-9, 3)

  T(2, -1) ⇒ T'(6, -3)

  W(2, 4) ⇒ W'(6, 12)

The probability that 35 or more people from the sample of 215 customers are concerned about the digital environment is 0.7043.

To calculate the probability that 35 or more people from the sample of 215 customers are concerned about the digital environment, we can use the binomial distribution formula.

The binomial distribution is applicable here because we have a fixed sample size (215 customers) and each customer can be categorized as either concerned or not concerned.

Let's denote p as the probability that a randomly selected customer is concerned about the digital environment.

From the given information, we know that 29% of technology experts believe our lives will be more harmed than helped, so p = 0.29.

The formula for the probability mass function of the binomial distribution is:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of k successes (in this case, customers concerned about the digital environment)

C(n, k) is the number of combinations of n items taken k at a time

\(p^k\) is the probability of k successes

\((1 - p)^{(n - k)\) is the probability of (n - k) failures

Now, let's calculate the probability of having 35 or more customers concerned:

P(X ≥ 35) = P(X = 35) + P(X = 36) + ... + P(X = 215)

Using this formula, we can calculate the probability using a cumulative approach:

P(X ≥ 35) = 1 - P(X ≤ 34)

Calculating this probability requires summing up a large number of individual probabilities, which can be time-consuming.

Therefore, it is more practical to use statistical software or calculators to obtain an accurate answer.

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Answer:

7/24

Step-by-step explanation:

1/8 + 1/6

First get a common denominator of 24

1/8 * 3/3 = 3/24

1/6 * 4/4 = 4/24

3/24 + 4/24 = 7/24

9514 1404 393

Answer:

  x = 22, y = 123

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (2x +13)° +57° +3x° = 180°

  5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °

  5x = 110 . . . . . . . . . . . subtract 70

  x = 22 . . . . . . . . divide by 5

__

Angles in a linear pair are supplementary.

  y° + 57° = 180°

  y = 123 . . . . . . . . divide by °, subtract 57

\(y = x^{3} + 2\)

\(y = g(x) + c\)

Here,  \(g(x) = x^{3}\) and \(c = 2\), the parent function is \(g(x)\). Because \(c > 0\), the graph undergoes a vertical shift 2 units up along the y-axis.

1) The cubic function is \(x^3+1\) and the parent function is \(x^3\).

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is \(ax^3+bx^2+cx+d=0\), where a, b, c and d are real numbers.

Let the cubic function be \(x^3+1\) and the parent function be \(x^3\).

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is \(x^3+1\) and the parent function is \(x^3\).

2) The transformation from parent function to function is vertical stretch.

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