Gary's Pizzeria made 45 pizzas. 31 of the pizzas had thin crust and the rest had thick crust,
What is the ratio of the number of thin crust pizzas to the number of thick crust pizzas?
Write your answer as two numbers separated by a colon (for example, 2:3)

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

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Answer: 8/9

Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.

Answer:

c.375

Step-by-step explanation:

l×b×h, then 2(l+b)

The area of the composite figure is 375 cm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Height of triangle = Height of rectangle

The base of the triangle is half the base of the rectangle.

So, Area of Triangle

= 1/2 x b x h

= 1/2 x 15 x 10

= 75 cm²

and, Area of rectangle

= l w

= 30 x 10

= 300 cm²

Thus, the required area is

= 300 + 75

= 375 cm²

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To know how much lemonade you can buy with $320, we first need to determine the price of a pint of ice cream. Since you can buy 80 pints with $320, the price of one pint of ice cream is $320 divided by 80, which equals $4.

Next, we need to find the price of a glass of lemonade, which is 3.2 times less than the price of ice cream. Therefore, the price of a glass of lemonade is $4 - (3.2 * $4) = $4 - $12.8 = -$8.8.

Since the price of lemonade is negative, it indicates that you will receive money back for every glass of lemonade you buy. However, since you cannot have a negative quantity of lemonade, the answer would be zero.

In summary, with $320, you can buy zero glasses of lemonade.

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The cost of gas was 3.051, the profit made by Mank is $366.96.

The amount of old copper tubing removed from air conditioning units is 68.8 kg.

The price paid per pound of copper tubing is $2.50.

The amount of gas used is 4 gallons.

The cost of 1 gallon of gas is $3.051.

By using dimensional analysis, we can convert 68.8 kilograms into pounds as shown below,

1 kg = 2.20462 lbs

68.8 kg = 68.8 × 2.20462 lbs= 151.663856 lbs

Using the above obtained value in pounds and the given price per pound, we can determine the total amount he was paid as shown below,

Total amount paid = 151.663856 × 2.5 = $379.16

The cost of 4 gallons of gas is 4 × 3.051 = $12.204

.Subtracting the gas cost from the amount paid, we get the profit,

Mank's profit = Total amount paid - Cost of gas= $379.16 - $12.204 = $366.956 or $366.96 (rounded to two decimal places)

Therefore, the profit made by Mank is $366.96.

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Answer:

its only 5 points tho :c

Step-by-step explanation:

Constructing a 98% confidence interval with a larger sample size would result in a wider, yet more precise interval compared to a 95% confidence interval with a smaller sample size.

If you construct a 98% confidence interval for the population mean instead of a 95% confidence interval and the sample size is larger for the 98% interval, with everything else being the same, the confidence interval would:

1. Be wider than the 95% confidence interval:

A higher confidence level (98% vs. 95%) requires a wider interval to capture the true population mean with greater certainty.

2. Be more precise due to the larger sample size:

A larger sample size provides more information about the population, which generally leads to a more precise estimate of the population mean.

To summarize, constructing a 98% confidence interval with a larger sample size would result in a wider, yet more precise interval compared to a 95% confidence interval with a smaller sample size.

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The probability that the small business owner's annual profit will not exceed $100,000 is about 0.0571

We can use the central limit theorem to approximate the distribution of the annual profit. The central limit theorem states that the sum of a large number of independent and identically distributed random variables will be approximately normally distributed.

Let X be the daily profit, then the annual profit, Y, is given by Y = 105X. The mean of Y is:

μY = 105μX = 105(975) = 102375

The variance of Y is:

σY^2 = 105σX^2 = 105(129)^2 = 2244385

The standard deviation of Y is:

σY = sqrt(2244385) ≈ 1498.12

We want to find the probability that the annual profit will not exceed $100,000, which is equivalent to finding the probability that Y ≤ 100000. We can standardize Y using the formula:

Z = (Y - μY) / σY

Substituting the values, we get:

Z = (100000 - 102375) / 1498.12 ≈ -1.58

We can use a standard normal distribution table or calculator to find the probability that Z ≤ -1.58. This probability is approximately 0.0571.

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The given question is incomplete, the complete question is:

A small business owner estimates his mean daily profit as $975 with a standard deviation of $129. His shop is open 105 days a year. What is the probability that his annual profit will not exceed $100,000?

Answer:

V =960 in ^3

Step-by-step explanation:

V = l*w*h

V = 12*8*10

V =960 in ^3

Answer:

Manau, kad tai D.

Answer:

y- intercept = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope( gradient ) and c the y- intercept )

Here m = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 10) into the partial equation

10 = 6 + c ⇒ c = 10 - 6 = 4

Thus y- intercept c = 4

The function f(-3) when evaluated graphically has its value to be 4 on the graph

To evaluate a function graphically, you need to follow these steps:

In this case, the function f(-3) has its value to be 4 on the graph

This means that

f(-3) = 4

Hence, the function has a value of 4

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A total of 1470 boxes are there all together if there are seven separate, equal-size boxes, and inside each box there are six separate small boxes, and inside each of the small boxes there are five even smaller.

Starting from the smallest boxes, we have 5 boxes inside each of the 6 small boxes, giving us a total of 5 x 6 = 30 boxes in each of the 7 medium boxes.

Therefore, there are a total of

30 x 7 = 210 boxes in the medium boxes.

Finally, we have 7 of these medium boxes, giving us a total of

210 x 7 = 1470 boxes in all.

Thus, there are a total of 1470 boxes altogether in the seven separate, equal-size boxes, each containing six separate small boxes, and each small box containing five even smaller boxes.

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Answer:

f(g(2)) = 50

Step-by-step explanation:

evaluate g(2) then substitute the result obtained into f(x)

g(2) = 3(2) - 2 = 6 - 2 = 4 , then

f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

\(f(x)=2(x+1)^2\)

\(g(x)=3x-2\)

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

\(\implies g(2)=3(2)-2\)

\(\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}\)

Step 2: Substitute the found value into the composite function.

\(\\\implies f[g(2)]= 2(4+1)^2\)

\(\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}\)

Hence, the value of the composite function f[g(2)] is 50.

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Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

First you add the ratios together then divide by 170 and mutliply each answer by the answer of 170 divided by the sum of 3.5, 1.25 and 2.33

Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

→ Add the ratios together

3.5 + 1.25 + 2.33 = 7.08

→ Divide the answer by 170

170 ÷ 7.08 = 24.01129944

→ Multiply the answer by 3.5 , 1.25 , 2.33

3.5 × 24.01129944 = 84.04

1.25 × 24.01129944 = 30.14

2.33 × 24.01129944 = 55.95

Answer:

V = πr²h = π · 8²· 28≈  5629.73404 Rounded to 5629.73

Step-by-step explanation:

It does say "which of the following is the best approximation of the volume"

Its might be weird but I would go with b 5626.9 m³.

Hope this helps! <3

Answer:

5626.88 square meters

Step-by-step explanation:

Hye there!

The formula for the area of a cylinder is:

\(A = \pi *r^{2} *h\)

Where r is the radius and h is the height

Now we input the values into the equation and solve

\(A=3.14*8^2*28\\3.14*64*28\\5626.88\)

So the area of this cylinder is 5626.88 square meters

Amir would therefore receive £636.15 in total interest after 12 years.

We can use the following formula to determine the simple interest:

basic interest = (principal amount x annual interest rate x number of years)

In this instance, Amir made a 12-year investment of £3055 at a 1.75% yearly interest rate. As a result of entering these values into the formula, we obtain:

Simple interest is equal to £636.15 (3055 x 0.0175 x 12).

Amir would therefore receive £636.15 in total interest after 12 years. This sum only includes the interest earned; the principal invested is not included.

It's vital to remember that simple interest is calculated solely on the invested principal and not on interest accrued in prior years.

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Answer: I answered the question how many hours he has to work. 25 hours.

Step-by-step explanation:

You divide 181.25/7.25 to get 25.

Answer:

5/3

Step-by-step explanation:

30/t = 18/r

Multiplying by r both sides,

30*r /t = 18

Dividing by 30 both sides,

r/t = 18/30 = 3/5

So, t/r = 5/3

9514 1404 393

Answer:

  t/r = 5/3

Step-by-step explanation:

Every proportion can be written 4 ways. I like to think of them as "upside down and sideways." They are ...

  \(\dfrac{30}{t}=\dfrac{18}{r}\qquad\dfrac{t}{30}=\dfrac{r}{18}\\\\\dfrac{30}{18}=\dfrac{t}{r}\qquad\dfrac{18}{30}=\dfrac{r}{t}\)

__

Knowing this, you can simply rewrite your proportion as ...

  t/r = 30/18

  t/r = 5/3

_____

More formally, you could multiply both sides by t/18:

  (30/t)(t/18) = (18/r)(t/18)

  30/18 = t/r . . . . as above

Reducing the fraction gives ...

  t/r = 5/3

__

Additional comments

The usually-recommended procedure for solving something like this is to "cross-multiply" as a first step. That will give ...

  30r = 18t

Of course, that is equivalent to multiplying both sides by rt, the product of the denominators.

From here, to get t/r, you need to divide both sides by 18r.

  (30r)/(18r) = (18t)/(18r)

  30/18 = t/r

The combination of the two steps, multiply by rt, divide by 18r, is equivalent to multiplying by (rt)/(18r) = t/18, as we did above. That is, you can save some work by doing both steps at once--or by simply rewriting the proportion.

True, the SDLC's planning phase yields a general overview of the company and its objectives. During this initial stage, the project's purpose, scope, and requirements are defined.

True. The planning phase of the Software Development Life Cycle (SDLC) is crucial in determining the direction and scope of the project. During this phase, the project team analyzes the company's goals, objectives, and requirements. This includes identifying the company's strengths, weaknesses, opportunities, and threats (SWOT analysis). The team also determines the feasibility of the project, identifies potential risks, and creates a plan for project execution. The planning phase yields a general overview of the company and its objectives, providing a solid foundation for the rest of the SDLC stages. It is essential to have a well-defined plan during this phase to ensure that the project aligns with the company's objectives and meets the expectations of the stakeholders.

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Answer:

Step-by-step explanation:

4

Answer: 65%, 195 children

Step-by-step explanation: To get this, we just do 100-35 to get 65 percent. We can calculate this further, and do 300*0.65, and we get 195. Thus, there were 195 children.

Answer:

There was 195 people.

Step-by-step explanation:

You divide and subract.

Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Answer:

It's the red option.