A glass of lemonade took 2 1/2 scoops of sugar to make in it. If you wanted to make 3 glasses how many scoops of sugar would you need

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

D, x = 16

Step-by-step explanation:

-12 = (-3/4) * x

Divide both sides by -3/4.

x = 16

I hope this helps! Feel free to ask any questions!

Answer:

\((a)\ \bar x = 1.19\)

\((b)\ \sigma_x = 0.18\)

Step-by-step explanation:

Given

\(n = 4\)

\(x: 1.45\ 1.19\ 1.05\ 1.07\)

Solving (a): The mean

This is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{1.45 + 1.19 + 1.05 + 1.07}{4}\)

\(\bar x = \frac{4.76}{4}\)

\(\bar x = 1.19\)

Solving (b): The standard deviation

This is calculated as:

\(\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}\)

So, we have:

\(\sigma_x = \sqrt{\frac{(1.45 -1.19)^2 + (1.19 -1.19)^2 + (1.05 -1.19)^2 + (1.07 -1.19)^2}{4 - 1}}\)

\(\sigma_x = \sqrt{\frac{(0.1016}{3}}\)

\(\sigma_x = \sqrt{0.033867}\)

\(\sigma_x = 0.18\)

A scatter plot, because it would show the association, or relationship, between the two variables

From the question, we have the following parameters that can be used in our computation:

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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Answer:

A. f(x)= -(x-3)^(2)-2

Step-by-step explanation:

graphing the parabola, using the direction, vertex, focus, an axis of symmetry, we see that the direction it opens is down, like the picture shows. The vertex is at (3, -2), focus is (3,-9/4), axis of symmetry is x=3, and the directrix is y = -7/4 just as the picture shows. Therefore, A is the correct answer.

Hope this helps!!

Answer:

A. \(F(x)=-(x-3)^2-2\)

Step-by-step explanation:

For the function F(x) to flip upside-down, there needs to be a negative sign in front. This eliminates answers "B," and "D." The function F(x) shifted 3 units to the right, meaning there needs to be a -3 being subtracted. The function also shifted downwards 2 units, meaning there's a -2 being subtracted.

This makes the correct answer be "A."

Your rounded number is 18010

The reason for this is because when you multiply 621X29, you get 18009. When you round numbers, you want to see how the numbers are. If a number is 4 or below, you will make that number a zero or not count it, whereas numbers above 5 will go up. I hope this helps and if you have any questions, let me know

Answer:

18010

Step-by-step explanation: You see, 621x29=18009 and rounded is 18,010

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

x=\(\sqrt{\frac{7y+8}{5} }\)

Step-by-step explanation:

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

rawr

Step-by-step explanation:

Answer:

the answer is twelve by multiplying them all.

Answer:

2 , 40,420

Step-by-step explanation:

10 × 11 × 12 × 13 × 14

1,320 × 182

2,40,240

The fraction equivalent to 100% is 100/100

The percentage is given as:

Percentage = 100%

The term % means over 100 i.e. /100

So, we have:

Percentage = 100/100

This means that 100/100 is equivalent to 100%

Hence, the fraction equivalent to 100% is 100/100

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Answer: 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 divided by 1 is 0 similarly to other numbers.

For example 5/1 = 5

Although, 1/0 is undefined as it isn't legal.

Answer:

60

Step-by-step explanation:

24:2 /5=24*5/2=60

Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

x = 35

Step-by-step explanation:

Solve for x:

6 x - 15 = 4 x + 55

Hint: | Move terms with x to the left hand side.

Subtract 4 x from both sides:

(6 x - 4 x) - 15 = (4 x - 4 x) + 55

Hint: | Combine like terms in 6 x - 4 x.

6 x - 4 x = 2 x:

2 x - 15 = (4 x - 4 x) + 55

Hint: | Look for the difference of two identical terms.

4 x - 4 x = 0:

2 x - 15 = 55

Hint: | Isolate terms with x to the left hand side.

Add 15 to both sides:

2 x + (15 - 15) = 15 + 55

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

2 x = 55 + 15

Hint: | Evaluate 55 + 15.

55 + 15 = 70:

2 x = 70

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 70 by 2:

(2 x)/2 = 70/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 70/2

Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.

The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:

Answer: x = 35

The number of cats the nemesis have is 4

A fraction is defined as the part of a whole.

Types of fractions;

From the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three

This is expressed as;

Number of cats =  1 - 5/ 6 + 3

Number of cats = 1/ 6 + 3

Number of cats = 6 + 18 /6

Number of cats = 24/6 = 4

Thus, the number of cats the nemesis have is 4

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

x=18in

Step-by-step explanation:

Answer: 18 inches

Step-by-step explanation:

Answer:

Hey there!

Are there any more options, because the probability is 7/12.

Also, this is a mutually inclusive event.

Let me  know if this helps :)

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer:

2.5, -1.25, 0.625

Step-by-step explanation:

Answer:

Surgery, injections, medicine description.

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A triangle with two equal sides as the following one:

is called isosceles.

Answer: isosceles.