There are 450 students, 20 teachers and 5 teacher's aides at Canyon Hills Middle School. What is the ratio of students to teachers and their aides?
A
9:2

B
90:1

C
1:18

D
18:1

Answer:

20.397

Step-by-step explanation:

The expression below shows a number in expanded form:

[tex](2\times 10) + \left(3\times  \dfrac{1}{10}\right)+ \left(9 \times \dfrac{1}{100}\right) +\left (7 \times \dfrac{1}{1,000}\right)[/tex]

This expanded form tells you that the number has

Hence, this number is [tex]20.397[/tex]

Answer:

true

Step-by-step explanation:

Answer:

20 points

Step-by-step explanation:

key words: difference

Take the amount of points she has and subtract what she has

25-5

Answer:

$12 per hour

Step-by-step explanation:

3600/6=600

600/50=12

Complete Question

A baker's dozen (13) of cookies is on sale  for $2.08. What is the cost of an individual  cookie?

Answer:

The cost of an individual cookie is $0.16

Step-by-step explanation:

Given

Specifically, it was stated that the baker's dozen is 13 pieces

Hence. A dozen cookies = 13 cookies

Price of a dozen cookies = $2.08

In other words, the price of 13 cookies is $2.08

To get the cost of an individual cookie, we have to divide the price of a dozen cookies by the number of cookies. This is calculated as follows:

[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]

By Substituting the right values,

[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]  

becomes

[tex]Cost of Cookies = \frac{2.08}{13}[/tex]

[tex]Cost of Cookies = 0.16[/tex]

Hence, the cost of an individual cookie is $0.16

Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet

Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3

Perimeter of the quadrilateral = 56 feet

Need to determine length of the sides

As length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3  

lets assume that four sides of rectangle = 1x, 1x, 2x and 3x

Perimeter of quadrilateral = sum of length of four sides  

=> Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x

As given that perimeter = 56 feet

=> 56 = 7x

x = 8

Then the length of sides are:

1x = 1(8) = 8 feet

1x = 1(8) = 8 feet

2x = 2(8) = 16 feet

3x = 3(8) = 24 feet

Answer:

She ran 6.71km in the evening

Step-by-step explanation:

3km 290m = 3.29km

10 - 3.29 = 6.71km

Sylvia ran 6 km 710 m in the evening.

Given that, Sylvia ran a total of 10 km and 3 km 290 m in the morning.

We need to find the number of kilometres she ran in the evening.

When we are dealing with two numbers that are expressed in units, if the units are the same, we can add or subtract normally. However, if the units are different, then we can add or subtract only if the units can be converted into the same units.

Now, 3 km 290 m can be written as 3.29 km

So the distance ran in the evening =10-3.29

=6.71 km

=6 km 710 m

Therefore, Sylvia ran 6 km 710 m in the evening.

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Answer:

None of these choices are correct.

Step-by-step explanation:

The quoted value of 99.875, means that this bond is sold at 99.875%  of the face value and not at a price of  $99.875.

Therefore, calculate price;

Price = 0.99875 * 1000

Price = $998.75

Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;

Brokerage fees = (0.055*998.75) = $54.93

Total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the choices is correct.

Answer:

the first one should be 2 because

if you put 2 it would look like this:

7x + 2 = 7x + 2

and if you answer it or try to simplify

7x + 2 = 7x + 2            or                7x + 2 = 7x + 2

    - 2           - 2                              -7x         -7x

7x = 7x                                                   2 = 2

/7      /7

x = x

and for the second one could be any number but 2

to prove this lets choose 5

and now to solve:

7x + 2 = 7x + 5          or                7x + 2 = 7x + 5

-7x          -7x                                       - 2           - 2

2 ≠ 5                                             7x = 7x + 3

                                                    -7x    -7x

                                                      0 ≠ 3

Answer:

I just did it and got it right so hoped it helped you ;)

1/2

1/2

1/4

Step-by-step explanation:

The probability that both coins will land heads up when Miranda flips them twice, assuming each coin is fair and has an equal chance of landing heads or tails, is 1/4. Each flip has a probability of 1/2 for heads, and these probabilities multiply for sequential independent events.

If Miranda flips a coin twice, the probability that both coins will land heads up needs to be calculated by multiplying the probability of the first coin landing heads up by the probability of the second coin doing the same. Since the chance of a coin landing on heads (assuming it is a fair coin) is usually 50%, that is 1/2 for each flip. Therefore, to find the probability of both coins landing heads up, we multiply these probabilities together: 1/2 × 1/2 = 1/4.

In a broader context, the more times you flip a coin, the closer you are likely to get to 50% heads due to the law of large numbers. Notably, in experiments such as one conducted by Karl Pearson, after 24,000 coin flips, the relative frequency of heads was 12,012/24,000 ≈ 0.5005, closely aligning with the theoretical probability of 1/2. An essential assumption in determining these probabilities is that the coin is fair and each flip is independent of the others.

To find out what percent of the distance Ava has walked so far, we can set up a proportion and solve for x. Ava has walked 60% of the distance to the train station.

To find out what percent of the distance Ava has walked so far, we can set up the following proportion:

15/25 = x/100

Where 15 is the distance Ava has walked, 25 is the total distance to the train station, x is the unknown percentage, and 100 represents 100%. To solve for x, we can cross multiply and divide:

15 * 100 = 25 * x

1500 = 25 * x

Dividing both sides by 25, we get:

x = 1500/25

x = 60

Therefore, Ava has walked 60% of the distance to the train station.

Final answer:

To find the percent of the distance Ava has walked so far to the train station, divide the distance she has walked by the total distance and multiply by 100. In this case, Ava has walked 15 blocks out of 25 blocks, so she has walked 60% of the distance.

Explanation:

To find the percent of the distance Ava has walked so far, you can divide the distance she has walked by the total distance to the train station and then multiply by 100.

In this case, Ava has walked 15 blocks out of 25 blocks to the train station. So, the percent of the distance she has walked so far can be calculated as:

Percentage = (15/25) * 100 = 60%

Answer:

Step-by-step explanation:

1x117 = 117

3x39 = 117

9x13 = 117

The result of the division , 117 divided by 13 is 9.

Given the parameters which can be used in our calculation:

We can write the expression thus :

Now we have :

The result of the division operation is 9

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Answer:

4/35

Step-by-step explanation:

5/7-3/5=

find common denominator =35

5/7*5/5=25/35

3/5*7/7=21/35

25/35-21/35=4/35

Answer:

[tex]x + \frac{3}{5} = \frac{5}{7}[/tex]

[tex] \times = \frac{5}{7} - \frac{3}{5} [/tex]

[tex]x = \frac{25}{35} - \frac{21}{35} [/tex]

[tex]x = \frac{4}{35} [/tex]

Answer:

1 meter is 100 centimeters

Henry misread the meters part and assumed his desk was 1 centimeter, which is why he thought his nametag was 7 cm longer.

In reality, his desk is 92 cm longer (100 cm - 8 cm = 92 cm)

Answer:

negative

Step-by-step explanation:

The slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table

y = - 6x + 50

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a table as given in the question as follows -

Time (in minutes)         Water (in gallons)

0                                         50

1                                          44

2                                         38

3                                         32

4                                         26

5                                         20

We can write the slope of the line as follows -

The slope of the line will be -

m = (y₂ - y₁)/(x₂ - x₁)

m = (44 - 50)/(1 - 0)

m = -6

At [x] = 0, the [y] coordinate is 50. Therefore, the equation of the line representing the table -

y = - 6x + 50

Refer to the graph attached.

Therefore, the slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table y = - 6x + 50

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Answer:

28/8=3.5...so probably just 3

Step-by-step explanation:

Answer:

The speed of River's mom drove for 10 miles distance is 0.234 mph

The speed of  River's mom drove for 25 miles is 10.234 mph  

Step-by-step explanation:

Given as :

The first distance cover by River's mom = 10 miles

The rate of speed = x mph

The second distance cover by river's mom = 25 miles

The rate of speed = x + 10 mph

The total driving time = 45 min

Now, According to question

Time = [tex]\dfrac{\textrm Distance}{\textrm speed}[/tex]

So, 45 = [tex]\dfrac{10}{x}[/tex] +  [tex]\dfrac{25}{x + 10}[/tex]

Or, 9 = [tex]\dfrac{2}{x}[/tex] +  [tex]\dfrac{5}{x + 10}[/tex]

Or, 9 × x × ( x + 10 ) = 2 × ( x + 10 ) + 5 x

Or, 9 x² + 90 x = 2 x + 20 + 5 x

Or, 9 x² + 90 x = 7 x + 20

Or, 9 x² + 90 x - 7 x - 20 = 0

Or, 9 x² + 83 x - 20 = 0

Solving this quadratic equation

x = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]

Or, x = [tex]\frac{-83\pm \sqrt{83^{2}-4\times 9\times (-20)}}{2\times 9}[/tex]

Or, x = [tex]\frac{-83\pm \sqrt{7609}}{18}[/tex]

∴  x = [tex]\frac{-83+87.22}{18}[/tex] , tex]\frac{-83-87.22}{18}[/tex]

I.e x = 0.234 , - 9.4567

We consider x = 0.234

So, The speed for 10 miles distance = x = 0.234 mph

and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph

Hence The speed of River's mom drove for 10 miles distance is 0.234 mph

and The speed of  River's mom drove for 25 miles is 10.234 mph   Answer

Final answer:

To find the two driving speeds, use the distance formula and set up two equations. Simplify the equations to find the speeds.

Explanation:

To find the two driving speeds at which River's mom drove, we can use the formula distance = speed x time. We know that the total driving time was 45 minutes. We can set up two equations using the given information:

10 = x ⋅ (45/60)

25 = (x + 10) ⋅ (45/60)

Simplifying the equations, we get:

x = 20 mph

x + 10 = 30 mph

Therefore, River's mom drove at speeds of 20 mph and 30 mph.

Answer: B

Step-by-step explanation:

Slope = rise/run (aka change in y/change in x)

Slope = (-9-(-9.75))/(-4-(-1)) = 0.75/-3 = -1/4

Answer:

1. Figure 4

2. Figure 2

3. Figure 4

Answer:

1. Figure 2

2. Figure 3

3. Figure 1

Step-by-step explanation:

Brainlest?

Answer:

2 pennies 2 nickels and a dime 22 cents

Answer:

The zeros of the function are x=-7 and x=2

Step-by-step explanation:

we have

[tex]A(x)=(x-2)(x+7)[/tex]

we know that

The zeros or roots of the function are the values of x when the value of the function is equal to zero (also is called the x-intercepts)

so

For A(x)=0

[tex](x-2)(x+7)=0[/tex]

Remember that

The Zero Product Property states that

if ab = 0, then either a = 0 or b = 0, or both a and b are 0

so

Let

[tex](x-2)=0[/tex] ----> [tex]x=2[/tex]

[tex](x+7)=0[/tex] ----> [tex]x=-7[/tex]

therefore

The zeros of the function are x=-7 and x=2

Answer:5/3

Step-by-step explanation: plug in 1/2 for x

Answer

ITS A (–∞, –3)

Step-by-step explanation:

Answer:

y<[tex]\frac{-1}{3}[/tex]x+1 is inequality shown on graph.

Step-by-step explanation:

The graph shows representation of inequality,

Here, Line passes through points say, A(3,0) and B(0,1)

The slope of line is given by m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]

m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]

m=[tex]\frac{1-0}{0-3}[/tex]

m=[tex]\frac{-1}{3}[/tex]

and Y-intercept is c=1

The equation of line is given by y=mx+c

y=[tex]\frac{-1}{3}[/tex]x+1 is equation of line in graph.

To decide which side you are going to shaded area on the graph

Take test of origin.

If (0,0) is statisfy the equation then, shaded the graph towards the origin.

Let suppose,

Take, y<[tex]\frac{-1}{3}[/tex]x+1

0<[tex]\frac{-1}{3}[/tex](0)+1

0<1

TRUE,

Therefore, y<[tex]\frac{-1}{3}[/tex]x+1 is inequality shown on graph.

One kilogram is made of 1000 grams. So, 1/2kg is made of 500 grams. If we add 250 grams, we have 750 grams, or 0.75kg.

To increase 1/2 kg by 250g, add the two values is 750g.

In mathematics, we often encounter situations where we need to perform operations with different units of measurement. In this case, you want to increase 1/2 kg by 250g. The first step is to convert both quantities to a common unit to facilitate the addition.

Step 1: Convert 1/2 kg to grams

We know that 1 kg is equal to 1000 grams (1 kg = 1000g). To find out how many grams are in 1/2 kg, we multiply 1/2 by 1000:

1/2 kg * 1000g/kg = 500g.

So, 1/2 kg is equivalent to 500g.

Step 2: Perform the addition

Now, we have both quantities in the same unit (grams). The addition becomes straightforward:

500g + 250g = 750g.

Thus, when you increase 1/2 kg by 250g, the result is 750 grams.

In summary, to add quantities with different units, it's crucial to convert them into the same unit before performing the operation. Here, we converted kilograms to grams and then added the values to get the final result of 750g.

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Answer:

byzantine style of architecture is an example of haggis sophias style

Step-by-step explanation:

Final answer:

To find out how much stock is needed for 4 servings of Mrs. Young's haggis recipe, we use proportional relationship calculations to arrive at 3/4 cup of stock.

Explanation:

The student needs to determine how much stock Mrs. Young will need for 4 servings of her haggis recipe if the original recipe, which serves 12, calls for 2 1/4 cups of stock. To solve this, a proportional relationship can be used, as follows:

Multiply the number of servings in the original recipe by the amount of stock to find the stock per serving.

Divide the original number of servings (12) from the result to find the stock needed for one serving.

Multiply the amount of stock for one serving by the new number of servings (4) to determine the total stock needed.

The calculation would be: (2 1/4 cups ÷ 12 servings) × 4 servings. Since 2 1/4 cups is equal to 9/4 cups, the arithmetic gives us: (9/4 cups ÷ 12) × 4 = 3/4 cup of stock needed for 4 servings.

1. 40 units___16 workers

20 units___x= 8 workers

(20*16)/40=8

2. 40 units___16 workers

25 units___x= 10 workers

(25*16)/40=10

3. 40 units___16 workers

100 units___x= 40 workers

(100*16)/40=40

Step-by-step explanation:

1. 40 units: 16 workers    2. 40 units: 16 workers

   20 units: 8 workers          25 units: 10 workers

(20 x 16) /40= 8 workers       (25 x 16) /40= 10 workers

3. 40 units: 16 workers

  100 units: 40 workers

(100 x 16) / 40= 40 workers

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Answer:

130°

Step-by-step explanation:

DEF is an isosceles triangle with base DE and DF = EF.

By definition, base angles of an isosceles triangle are equal.

Hence ∠FDE = ∠DEF = 25°

Angle F = 180° - ∠FDE - ∠DEF

= 180° - 25° - 25°

= 130°

Answer:

30

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

gave picture to explain

9 out of 400 phones are likely to be defective.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

If the probability of a phone being defective is 2.1%, we can use this probability to predict how many of the 400 new phones are likely to be defective.

The expected number of defective phones can be found by multiplying the probability of a phone being defective by the total number of phones ordered:

Expected number of defective phones = probability of a phone being defective × total number of phones ordered

In this case, the probability of a phone being defective is 2.1%, or 0.021 as a decimal.

The total number of phones ordered is 400.

So, we can write:

Expected number of defective phones = 0.021 × 400 = 8.4

We can't have a fractional number of defective phones, so we need to round to the nearest whole number.

Since 0.4 is greater than or equal to 0.5, we round up to 9. Therefore, we can predict that 9 of the 400 new phones are likely to be defective.

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