David took three exams. The median score of his exams was 88, the mean score was 90, and the range was 14. What were David's three exam scores?
Group of answer choices

88, 88, 90

84, 88, 98

81, 88, 95

84, 88, 90

86, 88, 90

The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).

The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3              .. ... ...(1)
and x  = -2.          .. .... ...(2)

We already know the first part of the solution (x) which is -2.  We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3

Taking the L. C. M of denominators which will be '3', we get:

y = \(\frac{-4 + 9}{3}\)

y = \(\frac{5}{3}\)

So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).

Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).

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Step-by-step explanation:

this is only multiplications and divisions. the brackets don't change anything, you can do the single pertains in any sequence you want, it will always be the same result.

2×2(2×4)/8 = 2×2×2×4/8 = 8×4/8 = 4

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer:

Enter your answer as a decimal in the b

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.

Given:

Distance from the light to the wall, r = 15 feet

Rate of rotation, dθ/dt = 1 rotation every 4 seconds

We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.

Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).

tan(θ) = dx / r

Differentiating both sides of the equation with respect to time t, we get:

sec^2(θ) * dθ/dt = dx/dt

Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.

sec^2(15°) * (1 rotation / 4 seconds) = dx/dt

Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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By answering the presented question, we may conclude that Evidence expression that is unrelated to the matter at hand may be rejected.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Evidence that is unrelated to the matter at hand may be rejected.

Hearsay is an out-of-court statement made for the truth of the thing expressed, and it is normally excluded from trial unless an exemption applies.

Evidence concerning a person's character or reputation may be excluded if it is provided to demonstrate that the individual acted in line with that character.

Some forms of information, such as attorney-client or doctor-patient conversations, are considered confidential and may be omitted from trial.

Prejudicial Effect: Information that is strongly prejudicial to one party or the other may be removed if the risk of undue prejudice, misunderstanding of the issues, or deceiving the jury outweighs its probative value.

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Answer:

someone else tell me to thank you

Answer:

32

Step-by-step explanation:

4(2)+8(3) is the equivalent to 8+24, getting you to the answer of 32 once you add them together. Hope this helped! <3

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

Step-by-step explanation:

\(\{A\cup B \}=\{1,2,3,7,10,11,12,14,16,17,18,19 \}\\\\\{A \cap B \}=\{ 1,7,10,14\}\)

A∪B: Any element which is in either or both sets.

A∩B: Only elements that are in both A and B.

Answer:

a) Means: 24 and 2; Extremes: 4 and 12

b) Means: 6 and 16; Extremes: 24 and 4

c) Means: 8 and 8; Extremes: 4 and 16

d) Means: 50 and 3; Extremes: 6 and 25

Step-by-step explanation:

The Means and Extremes in a proportion are defined based on the writing the proportion in one lie using colons the indicate the fraction, like in:

a : b = c : d The extremes values here are those that you see at the extreme left and extreme right of that expression. That is: a, and d.

The Means are the values that appear in the middle of the one line expression, that is: b and c.

Recall as well that the proportion can also be written with fractions:

a : b = c : d  is the same as:   a / b = c / d

so convert the expression to a one line with colons when the question comes in fraction form, and that way you can answer.

So we know that Amy bought some cans of paint and 5/8 of a liter of special paint additive formulated to reduce mildew. before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. So for each can she use 1/8 of a liter, and she have 5/8 of a liter, so we need to do a division to know the amount of cans

So the answer is that she bought 5 cans.

​

Answer:

(4, -1) and (-6, 9).

Step-by-step explanation:

To find the fourth vertex of a parallelogram, we need to find the vector that represents the displacement from one of the given vertices to another, and then add that vector to the third given vertex. Since parallelograms have opposite sides that are equal in length and parallel, adding the same displacement vector to two of the given vertices will give us the coordinates of the other two vertices.

One possible displacement vector is the difference between the first and second given vertices, or (1 - (-4), -2 - 3) = (5, -5). Adding this vector to the third given vertex, (-1, 4), gives us the fourth vertex at (4, -1).

Another possible displacement vector is the difference between the second and third given vertices, or (-1 - 1, 4 - (-2)) = (-2, 6). Adding this vector to the first given vertex, (-4, 3), gives us the fourth vertex at (-6, 9).

So the two possible locations of the fourth vertex are (4, -1) and (-6, 9).

Answer:

x^3-6x^2-4x-8

Step-by-step explanation:

First you would multiply (x-2) by itself (x-2) to get

x^2-2x-2x+4

then you would combine like terms

x^2-4x+4

Then you would multiply that by x-2

(x^2-4x+4)(x-2)

x^3-2x^2-4x^2-8x+4x-8

then you combine like terms

x^3-6x^2-4x-8

Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

The value of sin A is, 7/25.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.

Now, By definition we get;

⇒ cos A = - 24/25

⇒ Sin A = 7/25

Thus, The value of sin A is, 7/25.

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Answer:

38

Step-by-step explanation:

This expression can be written as the function f(g):

\(f(g)=5g-7\)

If you want to evaluate this function at g = 9, just substitute 9 in for g:

\(f(9)=5(9)-7\\f(9)=45-7\\f(9)=38\)

Answer:

The value of the expression when g = 9 is \(\boxed{\bf 38}\).

Step-by-step explanation:

Given algebraic expression:-

\(5g - 7\)

We need to evaluate this expression.

When ,

\(g = 9\)

Solution:-

\(\sf = 5g - 7\)

Put the value of g [ 9 ] on the given expression :-

We know that g is multiplied with 5 on this expression.

So,9[Value of g which is given] is also be multiplied by 5 on this expression.

\(\sf = 5 \times 9 - 7\)

Now Simplify :-

Multiply 5 and 9 :-

\(\sf = 45 - 7\)

Subtract :-

\(\sf = 38\)

We are done!

Hence the value of the expression when g = 9 would be ;

\(\boxed{\tt38}\)

\( \rule{225pt}{2pt}\)

I hope this helps!

Good luck!

Let me know if you have any questions.

Answer:

1/7140

Step-by-step explanation:

42x5=210

210x34=7140

Can you please mark me brainliest? I'm trying to become a Virtuoso.

Answer:

6

Step-by-step explanation:

So I think I had this for Imagine Math, so here is what I got :D;

Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34

Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19

Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17

I really hope this helps :DDDDDDDD

The biggest length stick that will fit is 16.49 units long.

The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.

The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.

So, the diagonal length of the tank, using Pythagorean theorem, is

= √(12² + 8² + 8²)

= √(144 + 64 + 64)

= √272

≈ 16.49.

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Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

It takes Brian 1.5 hours to get home from school

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.

For Brian:

4 = d/t

d = 4t

For Scott:

6 = d / (t - 1/2)

d = 6t - 3

4t = 6t - 3

2t = 3

t = 1.5 hours

Therefore it takes Brian 1.5 hours to get home from school

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Answer:

2.52

Step-by-step explanation:

4.2 × 0.6

Multiply the terms.

= 2.52

Answer:

2.52

hope it helps

Step-by-step explanation:

4.2 x 0.6

To solve this first, you simply multiply 42*06

(Exclude the decimal point)

42 x 6

= 252

Now since there are two numbers after the point (one is 4.2 and one is 0.6)

Move 252 two decimal places to left

= 2.52

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

The area of the cross-section of the cone that is parallel to the base and 3 inches from the vertex is 27/8 square inches or 3 3/8 square inches

From the question, we are to determine the area of the cross-section of the cone

To determine the area of the cross-section of the cone, we will determine the radius of the cross-section.

Let the radius of the cross-section be x and radius of the base of the be r.

The height of the cone is 8 inches and the height of the cone formed from the cross-section is 3 inches

By similar triangle theorem, we can write that

8/r = 3/x

x = (3r)/8

From the given information,

The area of the base is 24 square inches

Thus,

πr² = 24

Therefore, r² = 24/π

The area of the cross-section will be

A = πx²

But, x = (3r)/8

Thus,

A = π [(3r)/8]²

A = π × 3²/8² × r²

A = π × 9/64 × 24/π

A = 27/8 square inches

Hence, the area is 27/8 square inches or 3 3/8 square inches

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Answer:

\(a = 7.5\)

Step-by-step explanation:

Given

\(\frac{10}{14} = \frac{a}{10.5}\)

Required

The value of a

Cross multiply

\(a * 14 =10 * 10.5\)

Make a the subject

\(a = \frac{10 * 10.5}{14}\)

\(a = \frac{105}{14}\)

\(a = 7.5\)

Answer:

a = -17/30

Step-by-step explanation:

So the first step is to distribute the negative sign, if that's a bit confusing think of the negative sign as a -1 instead of just a negative sign, and then think of distributing that negative 1 to the 23a and -13.

Original Equation:

-(23a - 13) + 53a

Distribute negative sign

-23a + 13 + 53a

Group like terms:

(-23a + 53a) + 13

Simplify

30a + 13 = -4

Subtract 13 from both sides

30a = -17

Divide both sides by 30

a = -17/30