Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink has 45% sugar.
Each can has 250 milliliters of soda drink .

What is the sugar concentration of the mixed soft drink

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

20.68976

Step-by-step explanation:

Convert the percentage into decimal :

58% = 0.58

0.58 × x = 12

Divide both sides by 0.58 :

x = 12÷0.58

x = 20.689655...

x = 20.68976

So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .

Hope you understood and have a good day

Answer:

Step-by-step explanation:

To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.

Using the distance formula, we can find the length of each side:

AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)

BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)

CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)

DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5

Using the slope formula, we can find the measure of each angle:

Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7

m2 = (-3 - 2)/(9 - 4) = -1/5

tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4

ABC = arctan(3/4) ≈ 36.87°

Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5

m2 = (-4 - (-3))/(2 - 9) = 1/7

tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4

BCD = arctan(3/4) ≈ 36.87°

Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1

m2 = (1 - (-3))/(-3 - 9) = 1/2

tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5

CDA = arctan(7/5) ≈ 54.46°

Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7

m2 = (-4 - (-3))/(-3 - 2) = 1/5

tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4

DAB = arctan(3/4) ≈ 36.87°

Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.

Answer:

5(32)

Whatever will be in the parentheses has to equal 32.

So the possible answer could be:

5(30 + 2)

Step-by-step explanation:

9514 1404 393

Answer:

  13 m

Step-by-step explanation:

The volume formula is ...

  V = (1/3)Bh

where B is the base area and h is the height.

Filling in the given values, we can solve for h.

  351 m³ = (1/3)(81 m²)h

  351/27 m = h = 13 m . . . . . divide by the coefficient of h

The height of the pyramid is 13 meters.

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

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

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

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

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

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

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

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

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

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

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer:

there are 45 pages in the book

Step-by-step explanation:

If Joe has read 40% of the book, then he has 60% of the book left to read. Let's let "x" represent the total number of pages in the book.

If Joe has 18 pages left to read, that means he has already read:

0.6x = x - 18

Solving for x, we get:

0.4x = 18

x = 45

Therefore, there are 45 pages in the book.

Answer:

g= -4 is correct answer

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:

The area of the large circle is 16π

The area of one small circle is 4π

The total area of the two small circles will be one-half of the area of the large circle

Step by step explanation:

Area if circle = πr²

area of one large circle with a diameter of 8:

r = diameter/2 = 8/2 = 4

Area = π×4² = 16π

total area of 2 smaller diameter one-half that of the large circle.

Area = πr²

Diameter of small circle = 1/2(bigger circle diameter)

Diameter = 8/2 = 4

radius = 4/2 = 2

Area of one small circle = π×(2)² = 4π

Total Area of Two smaller circles= 2(4π) = 8π

Area of two smaller circle = 1/2(area of bigger circle) = 1/2(16π) 8π

Therefore, based on the answer:

The area of the large circle is 16π

The area of one small circle is 4π

The total area of the two small circles will be one-half of the area of the large circle

Answer:

The area of the large circle is 16 pi.

The area of one small circle is 4 pi.

The total area of the two small circles will be one-half of the area of the large circle.

Step-by-step explanation:

To shorten this down for ya lazy people like me the answers are 1, 2, and 5!!!

I got this right on my UNit test review!!!!!

I hope this helps!!!!!!

Answer:

Step-by-step explanation:

y = 2x-8

2x = y+8

x = 0.5y+4

inverse function: y = 0.5x+4

Answer:

what

Step-by-step explanation:

why would you even need to know this

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

each wing costs $2.2

Step-by-step explanation:

48.40/22 = 2.2

48.4 - 44    2

4.4 - 4.4      0.2

0            

The division is one of the four fundamental arithmetic operations. The cost of each chicken wing is $2.2.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Peyton bought 22 chicken wings for $48.40. Therefore, the cost of each chicken wing is,

Cost of a single chicken wing = $48.40/22 = $2.2

Hence, the cost of each chicken wing is $2.2.

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Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

Answer:

D

Step-by-step explanation:

f(x) = g(x) at x=5

means

f(5) = g(5)

Answer:

23n=65

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

100% of 20  is 20

use the fact that 2*10 =20 so for every $2 you have anothher 10%

90% of 20 is

100%-10% of 20-2 = $18

Answer:

g = 40/9

Step-by-step explanation:

9/10 * g = 4

Multiply both sides by 10/9

9/10 * 10/9 * g = 4 * 10/9

g = 40/9

Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

Answer:

well what was the garden perimiter

Step-by-step explanation:

Answer:

I'm sorry i could help but I don't have enough time

Step-by-step explanation:

ill do this when i can :)

The width of the brochure is 3/2 inches and the height is 10 inches.

Let's assume that the width of the brochure is x and the height is y.

The area of the brochure is given as 30 square inches:

xy = 30

The perimeter of the brochure is given as 23 inches:

2x + 2y = 23

We can use the second equation to solve for one variable in terms of the other.

2x + 2y = 23

2x = 23 - 2y

x = (23 - 2y)/2

Now we can substitute this expression for x into the equation for the area:

xy = 30

[(23 - 2y)/2]y = 30

23y/2 - y^2 = 60/2

y^2 - 23y/2 + 30 = 0

We can solve for y using the quadratic formula:

y = [23/2 ± sqrt((23/2)^2 - 4(1)(30))]/(2)

y = [23/2 ± sqrt(529/4 - 120)]/2

y = [23/2 ± sqrt(289/4)]/2

y = [23/2 ± 17/2]/2

y = 10 or y = 3/2

Since the height must be greater than the width, we can eliminate y = 3/2 as a solution.

So, y = 10 and

x = (23 - 2y)/2 = (23 - 20)/2 = 3/2

Therefore, the width of the brochure is 3/2 inches and the height is 10 inches.

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The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

1 dz  to make 12 muffins

1 7/24 dz to make 15.5 muffins

Step-by-step explanation:

How many dozen (dz) eggs are needed to make 12 muffins?

See answer options, we are looking for an option with dz indicated along with the number:

The correct option is:

So 1 dozen of eggs required for 12 muffins, that is 12 eggs for 12 muffins or 1 egg for 1 muffin or 1/12 dz per muffin

To get 15.5 muffins:

Or in dozens:

Answer:

2.0 and 4.8

Step-by-step explanation:

each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)

Answer:

non of these because you are a good friend and look at the house to you nanu you nanu to get the house ☺️ to get well and