What is 15% of 60 ?​

A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.

Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1  1 |   | x |   | 15 |
| 5.90  14.75 |   | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x |   | 1  1 |^-1   | 15 |
| y | = | 5.90  14.75 |      | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877  -0.0576 |
| -0.0059   0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x |   | 0.0877  -0.0576 |   | 15 |
| y | = | -0.0059   0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.

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Answer:

(-10,-7)

Step-by-step explanation:

On the x-line, it is on -10. Therefore, we know that the x-value is -10. On the y-line, the y- value is -7. Therefore, the y-value is -7. Therefore, it is on the point (-10,-7)

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The Subtraction property of equality justifies the conclusion based on the given information.

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal. In simple words, we can say that when a number is subtracted from one side of an equation, the same number must be subtracted from the other side of the equality.

if a = b

then;

a-c = b-c

We have:

If x + 5 = 15

By subtraction property of equality:

Subtract 5 from both sides we have;

x = 10

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Answer:

7ohjh high I did do ya so

Th last four terms of the binomial expansion are 14175x^9y^8 ,  20412x^6y^10  ,  10206x^3y^12  and 2187y^14.

The formula of binomial expansion is

              (x + y)^n = Σ (nCk) x^(n-k) y^k             (1)

We have bee given the expression as (2x^3 + 3y^2)^7

Here, x = 2x^3   ,    y = 3y^2   and  n = 7

Putting the required values in equation (1) we get

        (2x^3 + 3y^2)^7   =   7C0(2x^3)^7(3y^2)^0 +  7C1(2x^3)^6(3y^2)^1 +  7C2(2x^3)^5(3y^2)^2 +  7C3(2x^3)^4(3y^2)^3 + 7C4(2x^3)^3(3y^2)^4 +  7C5(2x^3)^2(3y^2)^5 + 7C6(2x^3)^1(3y^2)^6 +  7C7(2x^3)^0(3y^2)^7        

        (2x^3 + 3y^2)^7    =   128x^21  +  7*(64x^18)*3y^2   +  21*(32x^15)*(9y^4) +  35*(16x^12)*(21y^6) +  35*(5x^9)*(81y^8)  +  21*(4x^6)*(243y^10) +  7*(2x^3)*(729y^12) + 2187y^14

(2x^3 + 3y^2)^7  =   128x^21   + 1344x^18y^2  + 6048x^15y^4  + 11760x^12y^6  +  14175x^9y^8 +  20412x^6y^10  +  10206x^3y^12  +  2187y^14.

Hence the last four terms of binomial expansion are  14175x^9y^8 ,  20412x^6y^10 , 10206x^3y^12  and  2187y^14.

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Answer:

In order the missing terms are:

\(22680x^{9} y^{8}\)

\(20412x^{6}y^{10}\)

\(10206x^{3}y^{12}\)

\(2187y^{14}\)

Answer: 0.28

Step-by-step explanation:

Answer:

I got 35

Step-by-step explanation:

Step-by-step explanation:

5(2x – 3) = x – 15 + 9x

10x - 15 = x - 15 + 9x

10x - 9x - x = -15 + 15

0 = 0

Answer = A) Infinity many solutions

Answer: C

Step-by-step explanation:

Answer:

A)3.125hr

B)53.325mi

Step-by-step explanation:

speed=distance/time

an hour and 15min=1.25hr

32/1.25=25.6mi/hr

80/25.6=3.125hr

B)

2hr and 5min=2+5/60=2.083hr

2.083x25.6=53.325mile

Answer: 30

Step-by-step explanation:

You multiply the base by the height, so 10*6=60

You then take that and divide it by 2 to get 30.

You do this because you assume that the triangle is half of a square.

The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

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The length of the longer diagonal is 6√2 cm.

In a kite, the two adjacent sides (also called adjacent edges) are congruent, and the diagonals intersect at a right angle. Let's denote the angle between the two adjacent sides of length 6 cm as θ.

Since the diagonals of a kite are perpendicular, the angle between the two adjacent sides is equal to the acute angle formed by the intersection of the diagonals.

Let's call the other diagonal of the kite as "d" (the longer diagonal). Since the diagonals intersect at a right angle, we can apply the Pythagorean theorem:

(6 cm)^2 + (d/2)^2 = d^2

36 + d^2/4 = d^2

Multiplying both sides of the equation by 4 to eliminate the fraction:

144 + d^2 = 4d^2

3d^2 - d^2 = 144

2d^2 = 144

d^2 = 72

Taking the square root of both sides:

d = √72 = 6√2 cm (since d cannot be negative)

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Answer:

(x+4)(x+11)

Step-by-step explanation:

x^2+11x+28

What two numbers multiply to 28 and add to 11

4*7 =28

4+11

(x+4)(x+11)

Answer:

(x + 4)(x + 11)

I agree with wegner

bye

9514 1404 393

Answer:

  5n : 7n . . . for any non-zero real number n

Step-by-step explanation:

The terms in the given ratio both have a factor of 5. When that is factored out, the ratio reduces to ...

  25 : 35 = (5)(5) : (5)(7) = 5 : 7

Equivalent ratios can be made by multiplying both parts of the ratio by the same number, any non-zero number. There are an infinite number of equivalent ratios. They can be expressed as ...

  5n : 7n . . . for any non-zero n

_____

Additional comment

We assume your question actually has a list of possibilities from which you are to choose. If you divide the second number in the ratio by the first, you will get 7/5 = 1.4 for any equivalent ratio. A calculator and/or knowledge of multiplication facts can be of help.

Answer:

Blue Star

a.                                   The Ford TriVan   The Honda CityVan

Total life-cycle costs          $94,368                $90,936

Based on life cycle cost, the Honda CityVan is the best choice.

b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.

c. The crossover point in years = 5 months

Step-by-step explanation:

a) Data and Calculations:

                                        The Ford TriVan   The Honda CityVan

Purchase costs                  $28,000                 $32,000

Fuel efficiency per gallon   24 miles                 37 miles

Operating cost per mile     $0.20                     $0.22

Total operating costs         $4,400                   $4,840

Estimated annual distance 22,000 miles        22,000 miles

Gallons of fuel consumed  916.7 (22,000/24) 594.6 (22,000/37)

Total cost of fuel                 $3,896                  $2,527

Fuel cost per mile              $0.18                      $0.115

Total cost per mile             $0.38                     $0.335

Expected life of truck         8 years                   8 years

Average gas price = $4.25 per gallon

Total costs:

                                        The Ford TriVan   The Honda CityVan

Annual costs:

Total operating costs         $4,400                   $4,840

Total cost of fuel                $3,896                   $2,527

Annual costs                      $8,296                   $7,367

Life cycle costs:

Annual costs for 8 years   $66,368                $58,936

Purchase costs                  $28,000                $32,000

Total life-cycle costs          $94,368                $90,936

Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)

Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan

= Difference in costs divided by total cost per mile of the Ford TriVan

= 9,032 miles ($3,432/$0.38)

Annual distance = 22,000 miles

Monthly distance = 1,833 miles

9,032/1,833 = 4.93 months or 5 months approximately

The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.

A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:

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

Given the following:

Therefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:

Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)

Combine like terms

Perimeter of rectangle = 2(7.3q - 6.7)

Perimeter of rectangle = 14.6q - 13.4

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Answer:

2 acute angles

Step-by-step explanation:

A right triangle HAS to have a right angle, which is 90 degrees. This means the other two angles must add up to:

180-90 = 90 degrees

Acute angles are LESS than 90 degrees. You cannot add two positive integers over 90 to get 90 (obtuse angles), and you can also not have two 90 degree angles since that forms a straight line, therefore meaning the other two angles must be acute.

Answer:

2

Step-by-step explanation:a normal right triangle has 3 angles in total and looking at the bend in each corner only two of them are acute so that makes it 2

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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1) Since we have a cylinder, then we can write out the formula to find the volume as the product of its circular base times its height, simply put:

Remember that the area of a circle is pi times r²

2) So now let's plug into that the given values:

Hence, the volume of that Cylinder is 37.5 in³

Answer:

Step-by-step explanation:

((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<

Multiply both sides by 4, because there are 4 quarters in 1 hour

(4)(.5) = (.25)(4)

2 miles =1 hr

Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour

(3)(.5) = (3)(.25)

1.5 miles = 3/4 of an hour

now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours

***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.

Answer: \(-44\dfrac{4}{9}\)

Step-by-step explanation:

The given expression: \(-36\dfrac{4}{9}-(-10\dfrac{2}{9})-(18\dfrac{2}{9})\)

Here, \(36\dfrac{4}{9}=\dfrac{36\times9+4}{9}=\dfrac{328}{9}\)

\((10\dfrac{2}{9})=\dfrac{92}{9}\\\\(18\dfrac{2}{9})=\dfrac{9\times18+2}{9}=\dfrac{164}{9}\)

That is

\(-36(\dfrac{4}{9})-(-10\dfrac{2}{9})-(18\dfrac{2}{9}) = -\dfrac{328}{9}-(-\dfrac{92}{9})-\dfrac{164}{9}\\\\=-\dfrac{328}{9}+\dfrac{92}{9}-\dfrac{164}{9}\\\\=\dfrac{-328+92-164}{9}\\\\=\dfrac{-400}{9}\\\\=-44\dfrac{4}{9}\)

Answer:

z+5

Step-by-step explanation:

the word more indicates addition

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

circle = 5, triangle = 2, square = 6

Step-by-step explanation:

If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.

Answer:

ghhgggfdhkgdhkhg

Step-by-step explanation:

fffjiobbkk

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).

f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function.

A parabola is the shape of a quadratic function's graph.

Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

So, we have:

Using the tables for f(x) and g, we can establish the type of transformation and the value of k for each of the aforementioned functions (x).

g(x) = 3f(x) (x)

A vertical stretch/compression change takes place in this area. A three-fold vertical expansion or contraction of f is the function g(x) (x). Regardless of whether x is -6 or 6, the value of G(x) is 4, which is the same as the value of k.

g(x) = f(3x) (3x)

A horizontal stretch/compression change takes place in this situation. The function g is obtained by stretching or compressing f(x) horizontally by a ratio of 1/3. (x). K has a value of 1, which is also the value of g(x) and f for x = -3 or 3. (x).

g(x) = (1/3)f(x) (x)

A vertical stretch/compression change takes place in this area. The function g is obtained by stretching or compressing f(x) vertically by a factor of three-quarters (x). Regardless of whether x is -6 or 6, the value of G(x) is 4, which is the same as the value of k.

g(x) = f(x/3)

A horizontal stretch/compression change takes place in this situation. A three-fold horizontal stretching or compression of f results in the function g(x) (x). K has a value of 1, which is also the value of g(x) and f for x = -3 or 3. (x).

Therefore, when x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).

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