Darnel uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he make with 1 pint of lemon juice?

Answer:

3.14

Step-by-step explanation:

-8 - 92.5 = -100.5, and then -100.5/(-32) = 3.14

Alternatively, type in (-8 -92.5)/(-32)

Answer:

100 = 4×25

= 1×2×2×5×5

.......

Answer:

n=13

Step-by-step explanation:

When multiplying two numbers with the same base, add the exponents

[tex]8^{9} *8^{4} =8^{13}[/tex]

When dividing two numbers with the same base, subtract the exponents[tex]\frac{(8^{n})^{3}}{8^{2} } =(8^{n})^{3-2}=(8^{n})^{1}=8^{n}[/tex]

So

[tex]8^{13} =8^{n}[/tex]

The bases are the same, so you can cancel them

13=n

n=13

By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.

We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.

Thus, we can write the equation:

14/10 = (x + 9)/(x + 6)

Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:

(14/10)*(x + 6) = x + 9

Now we can multiply both sides by 10 to get:

14*(x + 6) = 10*(x + 9)

14x + 84 = 10x + 90

Now we can solve this linear equation for x.

14x - 10x = 90 - 84

4x = 6

x = 6/4

x = 3/2

That is the value of x.

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Answer:

Cost of 500 g of standard pack = € 7.50

Cost of 1 g of standard pack = 7.50/500

Cost of 100 g of standard pack = 7.50/500 ×100

= 7.50/5

= € 1.50

Hope it helps uh dear

Answer: 39 times

Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.

Answer:

Step-by-step explanation:

5x+8+6x-6=90

11x+2=90

11x=88

x=8

angle BOC = 6x-6 = 48-6 = 42 degrees

In 5 years the population will be fewer than 13000.

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.

20000( 1 - 9% )^5

≈ 12481

12481 < 13000

ie 5 years

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Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

Answer: 30

Step-by-step explanation:

3 times 2 is 6 and divided by 2 is 3 and 3 times 10 is 30

Answer:

The answer is 8.67

Step-by-step explanation:

Divide the distance by 75 since it's the actual distance of the scale factor

325/75=4.33

Multiply the answer by the scale factor

4.33×2=8.67

On a Cartesian (or "coordinate") plane in which  each point is represented by an ordered pair (x , y) belongs to  x coordinate  , y coordinate .

An ordered pair is a set of numbers in which it gives the location of a point on a coordinate plane.

The ordered pair is always expressed exactly the same way (x , y).

The first number  in an ordered pair represents the x coordinate on the plane while the second number in an ordered pair  represents the y coordinate.

The x-coordinate shoes that  how far away the point is horizontally from the x-axis.

The y-coordinate shows that  how far away the point is vertically from the x-axis.

Quadrant I: the upper-right quadrant of the plane in which all points in this quadrant have  the  positive x coordinates and positive y coordinates as { (+,+)}  ,  {(+,+)}

Quadrant II: the upper-left quadrant of the plane in which all points in this quadrant have negative x coordinates and positive y coordinates

{ (+,-)}{ (+,-)}

Quadrant III: the lower-left quadrant of the plane in which  all points in this quadrant have negative x coordinates and negative y coordinates

{ (-,-)}{(-,-)}

Quadrant IV: the lower-right quadrant of the plane in which  all points in this quadrant have positive x coordinates and negative y coordinates

{(+,-)}{ (+,-)}

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To find the difference between (-7*-7) + -(7*7), we first need to calculate the values of each expression.

(-7*-7) = 77 = 49

-(77) = -49

The difference between these two values is 49 - (-49) = 49 + 49 = 98.

Therefore, the answer is A) 98.

The Correct answer is Option (A) = 98.

We need to determine the value of each part and calculate their difference. after that.

Here,    (-7*-7)= 49

and,     -(7*7) = -49

Now, their difference is to be calculated as follows:

          =49 - (-49)

          = 49+ 49

          = 98.

So, the answer is 98.

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Answer: John is 29 years old and Jane is 36 years old.

Step-by-step explanation:

There are many parts to this problem, so let's start by defining John as x and Jane as y.

We know that the sum of their age 10 years ago was 55, which gives us x+y-10=55. The reason we put -10 is because of 10 years ago. If you think about it in terms of now, 10 years back is 55, so now they would be 65 years old. So we can have either x+y-10=55 or x+y=65. For simplicity, I will use x+y=65.

We also know that John is 7 years younger than Jane, which gives x=y-7.

Luckily, we have x defined for us, so we can directly substitute that into our equation.

[tex](y-7)+y=65[/tex]         [combine like terms]

[tex]2y-7=65[/tex]                [add both sides by 7]

[tex]2y=72[/tex]                      [divide both sides by 2]

[tex]y=36[/tex]

Now we know that y=36, we can plug that into either equations to find x.

[tex]x+36=65[/tex]                [subtract both sides by 36]

[tex]x=29[/tex]

This concludes that John is 29 years old and Jane is 36 years old.

Answer:

8 Feet

Step-by-step explanation:

15 feet subtract 7 feet is 8 feet

Answer:

6y² - 30y= 6y (y-5)

Step-by-step explanation:

Answer:

h ≤ 16

Step-by-step explanation:

If he plans to cook 16 of less hotdogs, h is going to be equal to or less than 16. The circle is closed because he could cook 16.

Answer:

For the first question it would be answer 4

Since they ask you "at most 16 hot dogs," that means that it has to be less than or equal to 16.

For the second question, you would put the endpoint on 16 and make the arrow going left.

Answer:

i think you asking for a equation if so here

hope it helps brainiest?

Step-by-step explanation:

x=total cost

x=0.75m+4

The modulus of 2 - 3i is √13. So, the correct option is d.

Modulus is a mathematical operation used to find the remainder when dividing two numbers. This is called a percent sign (%) and is represented by a single number such as 12. Used to determine if two numbers are divisible (no remainder). You can also use the modulus to compare two numbers to see which is greater or lesser. Additionally, this module can be used to calculate the distance between two points on the coordinate plane.

It is computed by taking the square root of the sum of the squares of the real and imaginary components, so √(2^2 + (-3)^2) = √13. The modulus of a complex number, also called absolute value, is a measure of distance from the origin.

Let z = -2 - 3i

z = (-2) + (-3)i

Modulus of z = √((-2)² + (-3)²)

√(4 + 9) = √13

Modulus of z = √13

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Answer:

$6.23

Hope this helps! :)

Answer:

0.35cm

Step-by-step explanation:

Step 1

We find the volume of the container.

The formula = Length × Width × Height

Length = 20cm

Width = 30cm

Height = 50cm

The volume of the tank = 20cm × 30cm × 50cm

= 30000 cm³

Step 2

We are told that:

The tank can fill exactly 200 of these containers

We have to find the volume that 1 cylinder will contain

Hence,

200 containers = 30000 cm³

1 container = x

Cross Multiply

200 × x = 30000cm³

x = 30000cm³/200

x = 150cm³

Step 3

We find the base radius of the cylindrical tank

Height = 4m

Convert to cm

1m = 100cm

4m = x

Cross Multiply

x = 4 × 100cm = 400cm

Volume of the cylinder = πr²h

Radius = √V/πh

Radius = √150/π × 400

Radius = 0.35 cm

Therefore, base radius = 0.35cm

The point that is -2 on the number line is point B. Option B

We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.

In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.

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Answer:

36 units

Step-by-step explanation:

First calculate the length of side a.  Using the Pythagorean Theorem, we find that 15^2 = 12^2 + x^2, or 225 - 144 = x^2.  Thus, x^2 = 81 and the length of side a is √81, or 9, units.

Then the perimeter is the sum of all three side lengths:

15 + 9 + 12 = 36 units

Answer: 875 people

Step-by-step explanation:

The 375 people seated represent 30% of the total number of people who wanted seats but these ones got them.

This means that the number of people who wanted seats is 70% of the number of people who wanted seats.

Assume the number of people who wanted seats is x:

30% * x = 375

x = 375 / 30%

x = 1,250 people wanted seats.

Those who wanted seats but couldn't get:

= 1,250 * 70%

= 875 people

Answer:

-2n - 3

Step-by-step explanation:

5n + 6 + (-7n) - 9

5n + 6 - 7n - 9

5n - 7n + 6 - 9

-2n - 3

Answer:

36mm

Step-by-step explanation:

12^2 + 9^2 = c^2

144 + 81 = c^2

225 = c^2

[tex]\sqrt{225}[/tex] = 15

c = 15mm

12+9+15 = 36

Answer: 75p

Step-by-step explanation:

So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p