On the 6th grade math test, twelve students had a score of 80 points. Eight students had a score of 88 points.

What was the class average?

Answer: x=5, y=(5\(\sqrt{3}\))/2

Step-by-step explanation:

Using the 30-60-90 triangle rule, we know that the sides follow 1-(\(\sqrt{3}\)/2)-2. The ratio between the side and the rule is 5/2, meaning that we know that y=(5\(\sqrt{3}\))/2 and x=5.

Answer:

15

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

The rate at which water is draining when the water is  8 feet deep is calculated to be 2.54 ft³/ h

The vertex angle of the conical-shaped reservoir can be given as follows;

tan θ = R/H

Here R represents the radius and H illustrates the depth

so here we can say that the vertex angle will remain constant; therefore;

r/y = R/H

r/8 = 10/20

r = (10/20) × 8

r = 4

now for the volume, we can say;

V=1/3πr^2h

also, we can say;

r = y/2

Therefore here we will have;

V = 1/3π(y/2)^2y = 1/12 πy³

now for volume flow rate, we can determine as follows;

Q = dV/dt = 3/12πy²(dy/dt)

Q = 1/4 πy²v

Substituting the values as follows;

Q = 1/4 π(8)²(1/2)ft³/h

Q = 2.54 ft³/ h

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Answer: bottom right

Answer:

Step-by-step explanation:

(2+10)/2 = 12/2= 6

(2+8)/2 = 10/2= 5

(6,5)

Answer:

2/6 (1/3 simplified), 0.33333, 33.33%

Step-by-step explanation:

Answer: 2/3 or 4/6 0.6 66.666%

Step-by-step explanation:

The grams of cocoa does it contains is 36.57 grams

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

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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Answer:

1 / 2 is smaller than 3 / 5.

Step-by-step explanation:

Compare 1/2 and 3/5. 1 / 2 is smaller than 3 / 5. Steps for comparing fractions. Find the least common denominator or LCM of the two denominators: LCM of 2 and 5 is 10; For the 1st fraction, since 2 × 5 = 10, 1 / 2 = 1 × 5 / 2 × 5 = 5 / 10; Likewise, for the 2nd fraction, since 5 × 2 = 10, 3 / 5 = 3 × 2 / 5 × 2 = 6 / 10 Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

To rewrite the formula to find the base b₂ is A/hb

From the information given, we have that:

The formula for area of a trapezoid is given as:

A = bb₂. h

Where:

Now, let's make b₂ the subject of formula

A = bb₂. h

Divide both sides by 'h'

A/ h = bb₂. h/h

We then have;

A/h = bb₂

Divide both sides by 'b'

A/hb = bb₂/b

b₂ = A/hb

Thus, to rewrite the formula to find the base b₂ is A/hb

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer:

If you mix red and white paint together, you will get pink paint. The more white you add, the lighter color of pink it will be.

Answer:

C or 9,9

Step-by-step explanation:

M=(xM,yM)

M=(x1+x22,y1+y22)

M=(4+142,5+132)

M=(182,182)

M=(9,9)

Answer:  15 X (7 - 7) + (5 X 2) = 10

Step-by-step explanation:

Believe me, I am too

Answer:

I believe the answer should be 10, as long as the X's aren't letter variables. If the X's are letters variables the answer would be 10x

Step-by-step explanation:

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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The total number of possible license plates will be 17,576,000.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

There are 26 letters in the English alphabet and 10 digits,

So there are (26 x 26 x 26 )26³ possible letter combinations and 10³ (10 x 10 x 10) possible digit combinations.

The total number of possible license plates is the product of these two:

26³ x 10³ = 17,576,000

Thus, the total number of possible license plates will be 17,576,000.

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\(\\ \sf\longmapsto f(x)=x+2\)

\(\\ \sf\longmapsto f(8)\)

\(\\ \sf\longmapsto 8+2\)

\(\\ \sf\longmapsto 10\)

Answer:

$34,000

Step-by-step explanation:

Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:

340(100) = 34000

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

\(Selling\ price = \$190.65\)

Step-by-step explanation:

Given

\(Price = \$123\)

\(Marked\ up = 55\%\)

Required

The selling price

This is calculated as:

\(Selling\ price = Price + Marked\ up* Price\)

\(Selling\ price = \$123 + 55\% * \$123\)

\(Selling\ price = \$123 + \$67.65\)

\(Selling\ price = \$190.65\)

Answer:

$66.00

Step-by-step explanation:

We are asked to find the amount of markup on Regina's quilt. The amount of markup is given by

markup rate×original price=amount of markup.

The markup rate is in decimal form.

Since the original price was $120, and the markup rate is 55%=0.55, we have

0.55×120=66.

Thus, the amount of markup on Regina's quilt was $66.00.

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

\(100 + 35 + E = 180\)

\(E\) here represents the measure of angle E.

Add together like terms:

\(135 +E = 180\)

Then subtract 135 from both sides:

\(E = 45\)

We can, likewise, form another equation for angle J :

\(100 + 45 + J = 180\)

Add together like terms:

\(145 +J = 180\)

Then subtract 145 from both sides:

\(J = 35\)

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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Answer:

a is -1, -2

b is -1, 2

c is 2, 2

Step-by-step explanation:

i hope i helped

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

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

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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To solve this problem, we just need to use the margin of error formula. This formula is given by

Where ME is our margin of error, sigma is the standard deviation, n is the sample size, and z is the critical value(associated with the confidence level).

From the text, we have:

Plugging those values in our equation, we have

And this is our margin of error.

Recall that a function is linear if all the variables have exponents equal to one.

Answer: It is a linear function.