Thabiso is riding a bicycle at a speed
of 8,5m/s convert 8,5 m/s to km/h.​

The candy bar will each person get will be 4 / 15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally.

The amount of candy shared by each person will be,

Amount = ( 4 / 5 ) ÷ 3

Amount = 4 / 15

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Answer:

4 is next in NUMBER OF DAYS

9 is the first in NUMBER OF TADPOLES

41 is the 2nd answer ON NUMBER OF TADPOLES

Step-by-step explanation:

hope this helps a lot!!

All of the equations that are true include the following:

B. 56 + 70 = 14(4 + 5).

C. 28 + 49 = 7(4 + 7).

In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

In order to determine the true equation, we would apply the distributive property of multiplication and then check whether or not the right-hand side is equal to the left-hand side.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

32 + 96 = 8(4 + 14)

32 + 96 = 32 + 112 (False).

56 + 70 = 14(4 + 5).

56 + 70 = 56 + 70 (True).

28 + 49 = 7(4 + 7).

28 + 49 = 28 + 49 (True).

27 + 36 = 3(9 + 13)

27 + 36 = 27 + 39 (False).

25 + 35 = 5(5 + 6)

25 + 35 = 25 + 30 (False).

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Answer:

6a. 0.02623

b. 0.5692

Thank you :)

Sorry I over complicated the answer that i wrote, I think the answer is 18

Answer: y = −0.7, -5

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

[tex]14^{2} - 8^{2} = 132\\\sqrt{132}= 2\sqrt{33} = 11.48912529\\answer-is -11.5[/tex]

Answer:

11.48

Step-by-step explanation:

Pythagoras Therum

8^2 + x^2 = 14^2

64 +×^2 = 196

x^2 = 132

sqrt both sides

11.48

Answer:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved

by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

4x = 50 × 60

Divide from both sides

x = 50 × 1.25 = 75

Answer is 75

Step-by-step explanation:

Here is a easier explanation if you didn't understand clearly:

It asked for how many 60 shots would score.

You would look at the first time he scored which is 50 and took 40 shots. Divide them

50 ÷ 40 = 1.25 or 1.5

So now you know each point scores 1.25 or 1.5

Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.

60 × 1.25 or 60 × 1.5

& They both end up equaling just the same, 75.

Hope it made sense :)

The expected values for each experiment are:

A) 3.4

B) 3.36

C) 3.33

If we have an experiment with the outcomes:

{x₁, x₂, ..., xₙ}

Each one with the correspondent probability:

{p₁, p₂, ..., pₙ}

Then the expected value of that experiment will be:

EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ

A) in this case we have 10 slips of paper, 8 of them with the number 3, and 2 of them with the number 5.

So the outcomes are:

{3, 5}

The probabilities are:

{8/10, 2/10}

Then the expected value is:

EV = 3*(8/10) + 5*(2/10) = 3.4

B) If we add another slip of paper with a number 3 on it, the new probabilities are:

{9/11, 2/11}

Then the new expected value is:

EV = 3*(9/11) + 5*(2/11) = 3.36

C) Finally, if we add 2 slips of paper with the number 3, now we will have a total of 12 slips of paper, then the new probabilities are:

{10/12, 2/12}

So the new expected value is:

EV = 3*(10/12) + 5*(2/12) = 3.33

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Answer:

5 + 3/4

Step-by-step explanation:

Answer:

23/4

Decimal Form:

5.75

Mixed Number Form:

5 3/4

Step-by-step explanation:

there ya goo

The minimum number of pieces dan requires to achieve his objective of constructing a bigger square is; 4 pieces

We are told that dan is trying to construct a bigger square with a smaller square. That all the smaller square-shaped pieces of paper have similar dimensions.

Length = 2x

Width = x

Length = 2x

Width = 2x

Thus, the minimum number of pieces dan will require to construct the bigger square is 4 squares.

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The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.

The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.

Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

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Answer:

[tex](a)\ C(x) = 6312.50 + 8.75x[/tex]

[tex](b)\ R(x) = 34x[/tex]

[tex](c)\ P(x) = 6312.50 -25.25x[/tex]

[tex](d)\ Break\ Even = 250\ hours[/tex]

Step-by-step explanation:

Solving (a): The cost function.

Given

[tex]Cost = \$6312.50[/tex] --- cost of saxophone

[tex]Additional = \$8.75[/tex] per hour

The cost function is: sum of the cost of the saxophone and the extra cost per hour.

If an hour costs 8.75, then x hours will cost 8.75x

So, the cost function is:

[tex]C(x) = Cost + Additional[/tex]

[tex]C(x) = 6312.50 + 8.75x[/tex]

Solving (b): The revenue function

Given

[tex]Charges = \$34.00[/tex] per hour

The revenue function is the product of the unit charge by the number of hours.

If in an hour, she charges $34.00, then in x hours, she will cost 34x

So, the revenue function is:

[tex]R(x) = Charges * Hours[/tex]

[tex]R(x) = 34.00 * x[/tex]

[tex]R(x) = 34x[/tex]

Solving (c): The profit function

This is the difference between the cost function and the revenue function

i.e.

[tex]P(x) = C(x) - R(x)[/tex]

So, we have:

[tex]P(x) = 6312.50 + 8.75x - 34x[/tex]

[tex]P(x) = 6312.50 -25.25x[/tex]

Solving (d): The break even hours.

To do this, we simply equate the cost function and the revenue function, then solve for x

i.e.

[tex]C(x) =R(x)[/tex]

[tex]6312.50 + 8.75x = 34x[/tex]

Collect like terms

[tex]6312.50 =- 8.75x + 34x[/tex]

[tex]6312.50 = 25.25x[/tex]

Solve for x

[tex]x = \frac{6312.50}{25.25}[/tex]

[tex]x = 250[/tex]

Answer:

The answer is -4a + 22b

Step-by-step explanation:

12a + 26b -4b -16a

12a - 16a + 26b - 4b

-4a + 22b

Thus, The answer is -4a + 22b

-TheUnknownScientist

Step-by-step explanation:

[tex] \mathfrak{SOLUTION} _{(By\:Mister360)} \begin{cases} \\ \rm \mapsto \: 12a + 26b - 4b - 16a \\ \\ \rm \mapsto \: 12a - 16a + 26b - 4b \\ \\ \rm \mapsto \: (12 - 16)a + (26 - 4)b \\ \\ \rm \mapsto \: - 4a + 22b \\ \\ \rm \mapsto \: - (4a - 22b) \end{cases}[/tex]

Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

[tex]Total=6\times 6\times 6\times 6\times 3[/tex]

[tex]Total=3888[/tex]

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

The total number of students in the student body is 110.

Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.

In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.

Number of students in the student body = number of students that watch TV everyday / percentage

88 / 80%

= 88 / 0.8 = 110

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x=14

Step-by-step explanation:

the answer is 14

I just added 8 with 6

:)

Answer:

[tex]c = 3 \tan(60 \degree) \\ c = 5.2 \\ hypotenuse \: of \: first \: triangle : \\ = \frac{ 5.2 }{ \sin(60 \degree) } \\ = 6 \\ \\ \frac{6}{4} = \frac{c}{b} \\ \frac{6}{4} = \frac{5.2}{b} \\ b = \frac{5.2 \times 4}{6} \\ b = 3.5[/tex]

Answer:

D. trapezoid

Step-by-step explanation:

---------------

Area of both the triangles :

= ½ × base × prepenicular

= ½ × 3 × 4

= 3 × 2

= 6 × 2 = 12 ( We have two triangles)

Area of semicircle :

= πr²/2

= 3.14 × 3 × 3 /2

= 28.26/2

= 14.13

Total area = 12 + 14.13 = 26.13 = 26.130

Answer:

A.

Step-by-step explanation:

Answer:

h = 9

Step-by-step explanation:

cylinder A = [tex]\pi[/tex][tex]3^{2}[/tex]*4 = 113.0973355 [tex]m^{3}[/tex]

Cylinder B  = 113.0973355 [tex]m^{3}[/tex]

113.0973355 [tex]m^{3}[/tex] = [tex]\pi[/tex][tex]2^{2}[/tex]*h

113.0973355 [tex]m^{3}[/tex] / 4[tex]\pi[/tex] = h

8.999999999998 = h

I think b/c of the rounding error of rounding off pi,  that h= 9

Hi there!

[tex]\large\boxed{\text{ UVY} = 65^o, \text{ VYZ }= 65^o}[/tex]

We can begin by finding ∠VUY so we can solve for ∠UVY.

∠VUY is supplementary to ∠TUY, so:

180 = 144 + ∠VUY

∠VUY = 36°

In a triangle, angles sum up to 180°, so:

180 = 36° + 79° + m∠UVY

m∠UVY = 65°

Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:

m∠UVY = m∠VYZ = 65°.

On solving the inequality we know, Barrett should work 25 hours tutoring and 10 hours cutting grass to make $400.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality results from a lack of balance.

Solution:-

given,

z=hours of cutting grass

y=hours of tutoring

Two equation can be made using given condition

15z+10y=400

and

z+y=35

Solving both equation simultaneously,

we get

y=25

z=10

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Summary of slope of parallel lines:

Parallel lines have equal slopes. The parallel lines are equally inclined with regard to the positive x-axis, and this is taken into account when calculating a line's slope.

If one line has a slope of m1, another line has a slope of m2, and both lines are parallel, then we get m1 = m2.

The coefficients for "x" and "y" in the equations that depict parallel lines are identical.

Ax + by + c2 = 0 is the line that is parallel to ax + by + c1 = 0. Observation reveals that the x and y coefficients in both equations are equivalent.

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Answer:

The question doesn't make since so random guess

If you multiply $0.50 by 750 you get 375

If you multiply $0.25 by 750 you get 187.5

divide that by 85 and you get 2.2.

Step-by-step explanation: