The owner of Nuts20 Snack Shack mixes cashews worth $5.75 a pound with peanuts worth $2.00 a pound to get a half-pound mixed nut bag worth $1.70. How much of each kind of nut is included in the moved bag?OA. 0.313 lb of cashews and 0.187 lb of peanutsOB. 0.10 lb of cashews and 0 90 lb of peanutsOC. 0.187 lb of cashews and 0 313 lb of peanutsOD. 0.07 lb of cashews and 0.93 lb of peanuts

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

Answer: 11.2 because I know trust me. I did a worksheet with this same question and got 11.2 and it was correct.

$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

To know more about interest, visit:

https://brainly.com/question/30393144

#SPJ1

The evaluation of the given fraction is 1 2/19

From the question, we are to evaluate the given fraction

From the given information,

The given fraction is

(11/15 + 2/3) ÷ (1 1/2 - 7/30)

Simplifying

((11 + 10)/15) ÷*(3/2 - 7/30)

(21/15) ÷ ( (45 - 7)/30)

(21/15) ÷ (38/30)

Then,

21/15 × 30/38

(21 × 30) / (15 × 38)

630 / 570

21/19

= 1 2/19

Hence, the evaluation is 1 2/19

Learn more on Evaluating fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

Step-by-step explanation:

15.) \(\sqrt{12}\)

      \(\sqrt{4}\) * \(\sqrt{3}\)

      Answer: 2\(\sqrt{3}\)

17.) Distribute 3\(\sqrt{3}\) into both sides of the parentheses

     3\(\sqrt{3}\) * 4 = 12\(\sqrt{3}\)

     3\(\sqrt{3}\) * -3\(\sqrt{5}\) = -9\(\sqrt{15}\)

     Answer: 12\(\sqrt{3}\) - 9\(\sqrt{15}\)

19.) Distribute 4\(\sqrt{15}\) into both sides of the parentheses

      4\(\sqrt{90}\) + 4\(\sqrt{75}\)

      4*\(\sqrt{9}\)*\(\sqrt{10}\) + 4*\(\sqrt{25}\)*\(\sqrt{3}\)

      4*3*\(\sqrt{10}\) + 4*5*\(\sqrt{3}\)

      12\(\sqrt{10}\) + 20\(\sqrt{3}\)

21.) Distribute \(\sqrt{15}\) into both sides of the parentheses

      2\(\sqrt{150}\) - 4\(\sqrt{90}\)

      2*\(\sqrt{25}\)*\(\sqrt{6}\) - 4*\(\sqrt{9}\)*\(\sqrt{10}\)

      2*5*\(\sqrt{6}\) - 4*3*\(\sqrt{10}\)

      10\(\sqrt{6}\) - 12\(\sqrt{10}\)

Answer:

Step-by-step explanation:

sry ion no 11

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The volume of the cube is 729 dm³

Remember that all the dimensions on a cube are the same ones, then we have:

Length = Width = Depth.

And for any prism, the volume is the product between the 3 dimensions, then for any cube the volume is:

V = Length*Width*Depth.

In this case we know that the depth is 9dm, then also is the length and the width, and thus, the volume of this cube is:

V = 9dm*9dm*9dm = 729 dm³

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

For more questions on the area of the shaded region

https://brainly.com/question/23973962

#SPJ8

The point representing 0 on the real number line is the origin.

A number line is a visual representation of a set of real numbers. It is a straight line that is usually represented horizontally and it has a starting point, usually labeled as 0, which is called the origin.

Numbers to the right of the origin are positive, and numbers to the left of the origin are negative. The numbers on a number line are evenly spaced, and each point on the line represents a specific real number.

Number lines are useful in mathematics to represent numerical relationships, such as order, magnitude, and distance between numbers. They are also useful in teaching mathematical concepts, such as addition, subtraction, and fractions.

Learn more about number line here: https://brainly.com/question/12399107

#SPJ4

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Given:

The height is 7 ft.

The length of the ramp is 22 ft.

To find the angle:

Using the trigonometric ratio,

Hence, the angle is 18.6 degrees.

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

Know more about circle here: https://brainly.com/question/20489969

#SPJ1

The area of the trapezoid is 2.2 square units

The formula for the area of a trapezoid is expressed as;

A = a+ b/h

Given that the parameters are;

Substitute the values

Area = 15 + 7 + 7/13

Add the values

Area = 29/13

Divide the values

Area = 2.2 square units

Hence, the value is 2.2 square units

Learn about area at: https://brainly.com/question/25292087

#SPJ1

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

Answer:

110°

Step-by-step explanation:

180°-60°-50°=70°

×=180°-70°=110°

Answer:

x = 110

Step-by-step explanation:

x = A + B                   (Exterior angle Property)

=> x = 50 + 60

=> x = 110

According to the given distance, the dog can run on 22.5 miles

Distance:

Distance refers the the length of the line joining the two points. Here the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.

Given,

On his trip to meet Clare, Kiran brought his dog with him.

Here at the same time Kiran and Clare started walking, the dog started running 6 miles per hour.

When they got to Clare it turned around and ran back to Kiran. And when it got to Kiran, it turned around and ran back to Clare, and continued running in this fashion until Kiran and Clare met.

Here we know that they meet after 3.75 hours.

And we know that the dog was running 6 miles per hour

So, for 3.75 hours, it can be calculated as,

=> 3.75 x 6

=> 22.5

Therefore, then the dog can ran 22.5 miles.

To know more about Distance here.

https://brainly.com/question/15256256

#SPJ1

Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

The possible coordinates for the fountain are (-11/4, -5/2) and (-11/4, 5/2),

To find the possible coordinates for the fountain that is 5 units away from both statues A and B, we can use the concept of distance formula.

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁))

In this case, the coordinates for statue A are (-2, -1) and the coordinates for statue B are (4, -1).

Let's assume the coordinates for the fountain are (x, y). We want the distance between the fountain and both statues to be 5 units.

Using the distance formula for statue A:

5 = √((-2 - x)² + (-1 - y)²)

Simplifying:

25 = (-2 - x)² + (-1 - y)² (equation 1)

Using the distance formula for statue B:

5 = √((4 - x)² + (-1 - y)²)

Simplifying:

25 = (4 - x)²+ (-1 - y)² (equation 2)

We have a system of equations (equation 1 and equation 2) that represents the conditions for the fountain's coordinates.

By solving this system of equations, we can find the possible coordinates for the fountain.

Note: The solution to this system of equations will provide two sets of coordinates that satisfy the given conditions.

To solve the equations, we can expand and simplify:

From equation 1:

25 = 4 + 4x + x² + 1 + 2y + y²

x² + y² + 4x + 2y - 20 = 0 (equation 3)

From equation 2:

25 = 16 - 8x + x² + 1 + 2y + y²

x² + y² - 8x + 2y - 9 = 0 (equation 4)

Now, we can solve equations 3 and 4 simultaneously.

Subtracting equation 4 from equation 3 we get:

(8x - 4x) + (-9 + 20) = 0

4x + 11 = 0

4x = -11

x = -11/4

Substituting the value of x back into equation 3:

(-11/4)² + y² + 4(-11/4) + 2y - 20 = 0

y² + 2y - 25/4 = 0

Solving this quadratic equation, we can find the possible values of y. Factoring the equation:

(y + 5/2)(y - 5/2) = 0

This gives us two solutions:

y + 5/2 = 0 -> y = -5/2

y - 5/2 = 0 -> y = 5/2

Therefore, the two possible coordinates for the fountain are (-11/4, -5/2) and (-11/4, 5/2).

Learn more about coordinates:

https://brainly.com/question/17206319

#SPJ1

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

Learn more about dice here:

https://brainly.com/question/23637540

#SPJ1

Answer:

he is correct because you add the exponents and then multiply 3 by itself that many times

Answer:

See below

Step-by-step explanation:

x = amount of 30 % alcohol to use     total amount of alcohol = .30 x

25-x = amount of 5% alcohol to use    total amount of alcohol = .05 (25-x)

total alcohol in ingredients = total alcohol in end product

  .30x   +  .05(25-x)             =    .15 (25)

    .25x + 1.25 = 3.75

         x = 10 gal = 30%     then 5 % = 25-10 = 15 gal

Answer: -5b cubed

Step-by-step explanation:

Answer:

24 m²

Step-by-step explanation:

The area of a rhombus is the product of the two diagonals over 2

Answer:

11 red + 24 blue = 35 marbles

If 1 blue is withdrawn

11 red + 23 blue = 34 marbles

P = 23 / 34 = .38   probability of drawing blue marble