A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 13
ounces of peanuts combined with five ounces of cashews, and costs $6.00. The
second mixture has five ounces of peanuts and 15 ounces of cashews, and costs
$8.00. How much does one ounce of peanuts and one ounce of cashews cost?

Answer:

Step-by-step explanation:

The solution to the system of equations `x=9y` and `3y - 3x =24` can be found by substituting the value of `x` from the first equation into the second equation. This gives us `3y - 3(9y) = 24`, which simplifies to `-24y = 24`. Solving for `y`, we get `y = -1`. Substituting this value of `y` into the first equation, we get `x = 9(-1) = -9`. So the solution to the system of equations is `(x,y) = (-9,-1)`.

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Answer:

Block A has greatest density because it also the biggest.

Step-by-step explanation:

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Answer:

Option 2

Step-by-step explanation:

Because it shows that it is going up in a half not a whole.

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer: y=45

Step-by-step explanation:

y/27 is 9 times as much as 5/3, (because 9 times 3 equals 27, the denominator) and according to that logic, 5 x 9 = 45!

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Answer:

Francis has $1,993.46 left of his pay stub

Step-by-step explanation:

earns $3437 dollars

42% to tax (yikes! almost half of their pay)

42% of $3437 dollars: $3437 x 0.42 = 1,443.54

Francis is paying $1,443.54 in taxes

$3437 - $1,443.54 = $1,993.46

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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20%

1. 4 divided by 20 = 0.2

2. 0.2 times 100 = 20

3. And the final answer is 20%

Hope that helped:)

Answer:

Color the blank with the color that matches the fraction.

Step-by-step explanation:

if the fraction is 1/2, your color is green, 1/3 is orange, 9/12 is red, 5/6 is brown, 2/3 is purple, 1/3 is blue.

Using the numbers 12, 6, 6, the triangle can not be formed.

The given numbers are 12, 6 and 6.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, 6 + 6 = 12 but not greater than 12

Therefore, using the numbers 12, 6, 6, the triangle can not be formed.

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Answer:

X=4

Step-by-step explanation:

Answer:

2x - 3 = 5

+3 +3

2x = 5 + 3

2x = 8

÷2 ÷2

× = 4

Answer:

Step-by-step explanation:

1) first we find the x and y intercepts. Remember the intercepts are where x=0 and y=0

2) To find the x-intercept, substitute y = 0 and solve for x.

given equation:  x +2y= -4

then substitute y=0    so

x+ 2(0) = -4    -> any number multiplied by 0 it will always equal zero

then,  it will be  x=-4

the coordinates will be (-4,0)

3) To find the y-intercept, substitute x =0 and solve for y.

given equation:  x +2y= -4

then substitute x=0    so

(0)+ 2y = -4    -> x disappears since is zero

then,  it will be  2y=-4

then we multiply by 2 :

2y/2 = -4/2

y=-2

the coordinates for the y-intercept will be (0,-2)

Answer:

$17.10

Step-by-step explanation:

theres 1000 millileters in a liter so .38 x 10 = 3.8 500 more millileters so .38 x 5 = 1.93.8+1.9=5.75.7 for one pitcher so multiply 5.7 by 3 = 17.1

Answer:

7.1

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2}\) means that the two shorter legs (a and b) squared and added together equal the hypotenuse (c) you square \(6^{2} + 2.5^{2} = 42.25\) then find the square root of 42.25 which is 6.5

The constant of variation is 1.6, and then the direct variation equation is:

y = 1.6*x

A direct variation between two variables can be written as:

y = k*x

Where k is called the constant of variation.

Here we know that when x = 20, the value of y is 32, replacing that in the above equation we get:

32 = k*20

Solving this for k we get:

32/20 = k = 1.6

Then the equation is:

y = 1.6*x

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Answer:

Step-by-step explanation:

2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5

A = 2(2.5)(3.5) + 2(2.0)(3.5)

A = 7(2.5 + 2.0)

A = 7(4.5)

A = 31.5 cm²

Answer:

Step-by-step explanation:

the median is 89, the mode is 94, and the mean is 84

Answer:

112 calories per cup

Step-by-step explanation:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

Answer:

1 cup =  128 calories

Step-by-step explanation:

you simply have to reverse the fraction and multiply it by that. 96×\(\frac{4}{3}\)=128

Answer:

A. 360 Meters

Step-by-step explanation:

There are 120 seconds in 2 minutes and if a balloon is rising 9 meters every 3 seconds you'll have to take 120 divided by 3 which is 40. You'll then take 40 and times it by 9 which is 360.

The correct statement:

The slope is positive because as the age increases, the value increases.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The table:

x → y

5 →  0.75

10 → 5.75

15 →  10.75

20 → 15.75

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 15.75 - 10.75 / 20 - 15

m = 1

Therefore, the slope is positive because as the age increases, the value increases.

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Answer:

The answer is  M< A= -2.

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

uhm when you are sending a question, there will be a button that an attatchment (its name is 'add attachment') press on it and add your picture!

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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Complete Question

Apabila a =2 b = 3 dan c =12 tentukan nilai dari bentuk :

a⁶× b⁴ × c²

(ab)² ×c³

Answer:

1) a⁶× b⁴ × c² = 746496

2) (ab)² ×c³ = 62208

Step-by-step explanation:

a =2, b = 3, c =12

a) a⁶× b⁴ × c²

2⁶× 3⁴ × 12²

= (2 × 2 × 2 × 2 × 2 × 2) × (3 × 3 × 3 × 3) × (12 × 12)

= 64 × 81 × 144

= 746496

b) (ab)² ×c³

(2 × 3)² × 12³

= 6² × 12³

= (6 × 6 )× (12 × 12 × 12)

= 36 × 1728

= 62208

The perimeter of Max's sandbox is 21 feet.

The sum of each length of external sides or boundary of a given figure is called its perimeter. To determine the perimeter of an object, add up the length of its boundaries.

Given the dimension of the Ohio park, then we have to determine the representative fraction of Max's sandbox.

Representative fraction = 10/ 25

                                       = 2/ 5

So that;

x = 15 * 2/5

  = 6 ft

y = 12.5 *2/5

  = 5 ft

The perimeter of Max's sandbox = 10 + y + x

                                                      = 10 + 5 + 6

                                                      = 21 ft

The perimeter of Max's sandbox is 21 feet.

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Answer:

The opposite side and opposite of angles of parallelogram are equal. An these opposite sides an opposite angles make up for a congruent triangles, with the two diagonal being the sides of these two congruent triangle. Hence the diagonals of the parallelogram are equal.

Hope it will help you.

Answer:

$23.55

Step-by-step explanation:

First we will need to determine the total amount of sales Ryan and Carlos made. To do that we will multiply the amount of products sold by the product cost.

$2.75 x 12 = $33

Now we need to deduct the cost of supplies they need to pay back from their profits.

$33- $9.45= $23.55

Now we are left with Ryan and Carlos' total profit, which is $23.55