x- 3=8 solve each equation ​

Therefore, the system of equations that represents this situation is: 4s + 7r = 3.50 and 8s + 3r = 5.25.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

Let's start by defining some variables to represent the unknowns in this problem. Let's use:

s: the price of one snickers bar

r: the price of one reeses

Now, we can write two equations to represent the total cost for Rena and Winny, based on the number of snickers bars and reeses they bought, and the prices of each candy:

For Rena:

4s + 7r = 3.50

For Winny:

8s + 3r = 5.25

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Answer:

Total length of the pipe = 125 inches

Let the shorter piece be x inches

So, the longer piece is 4x.4x + x = 1255x = 125x = 25

Therefore, the lengths of the two pieces are 25 inches and 100 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Multiply 3.75 times 1.5

Step-by-step explanation:

Answer:

132.5 cm²

Step-by-step explanation:

The cuboid has 6 surfaces, actually 3 pairs of equal surfaces. You add the areas of each of them:

top/bottom: 2.3*7.5 =  17.25 cm²

front/back: 5*7.5 = 37.5

left/right: 2.3*5 = 11.5

add them: 17.25 + 37.5 + 11.5 = 66.25 cm²

Now double that value to get all sides: 2*66.25 = 132.5 cm²

Never forget the unit (cm²)!

Answer:

You have to calculate 3 pairs of surface areas:

2 x 7.5 x 5 = 75

2 x 2.3 x 7.5 = 34.5

2 x 2.3 x 5 = 23   and that totals

132.5

Step-by-step explanation:

The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:

\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)

If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.

If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.

Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:

\(T = 1/3 * 1 + 2/3 * (T + 1)\)

The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.

Solving for T, we get:

T = 4

Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

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Given

Trigonometric function

Procedure

Answer:

3.142 and 22/7

Step-by-step explanation:

thats its

Answer:

Corresponding parts of coungruent triangles are congruent

Step-by-step explanation:

when you have two triangles and you have proved they are congruent, then each part of one triangle (side, or angle) is congruent to the corresponding part in the other.

Since a rectangle is rolled along length then circumference of circle is equal to length of rectangle and breadth equals to height.

=) 2*pi*r = 42cm

=) 2*22/7 * r = 42cm

=) r = 42*7 / 2*22

=) r = 147/22 cm

Since Volume of cylinder = pi* r^2*h

= 22/7 * 147/22 * 147/22 * 16 cm^3

= 2245.09 cm^3.

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

The required solution of the system of equations are x=-6 and y=-10.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The system of equations are

-2x+2y=-8 and -3x+y=8

According to given question we have

Consider the first equation.

-2x+2y=-8

Taking  minus sign common  from both sides we get

-(2x-2y)=-8

2x-2y=8

Taking  2 common  from left sides,  we get

2(x-y)=8

Divide by 2 on both sides we get,

x-y= 4....(i)

-3x+y=8...(ii)

By adding 2 equation we get

-2x=12

x=-6

Put the value of x in Equation (i) we get

x-y= 4

-6-y=4

-y=4+6

y=-10

Therefore, the required solution of the system of equations are x=-6 and y=-10.

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Answer:

A B and C

Step-by-step explanation:

The graph of N(t) = 75t + 120 is a straight line with a positive slope of 75. It intersects the y-axis at (0, 120) and has a y-intercept of -8/5. As t approaches infinity, N(t) increases without bound, indicating a positive relationship between the number of days of training and the average number of components assembled per day.

To sketch the graph of N(t) = 75t + 120, we can plot points on the coordinate plane by substituting different values of t into the equation.

For example, when t = 0, N(0) = 75(0) + 120 = 120. So, we have the point (0, 120).

When t = 1, N(1) = 75(1) + 120 = 195. So, we have the point (1, 195).

We can continue to calculate more points using different values of t.

The intercept is when N(t) = 0:

0 = 75t + 120

-120 = 75t

t = -120/75

t = -8/5

So, we have the intercept (0, -8/5).

To find the asymptote, we need to check what happens to N(t) as t approaches infinity. As t becomes larger and larger, the constant term 120 becomes less significant compared to the term 75t. Therefore, as t approaches infinity, N(t) approaches infinity as well.

In practical terms, this means that as the number of days of training (t) increases, the average number of components assembled (N) per day also increases. However, it is important to note that this is based on past records and the actual performance of new employees may vary. The equation provides an average trend and does not account for individual variations or other factors that may affect productivity.

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The bar graph shown represents data for different days of the week.

The MEDIAN is the value that occurs at the middle of the data set.

From the information given in the bar graph, the median value occurs between Wedneday and Thursday, that is, between 15000 steps and 11900 (approximately) steps. That would be;

Observe that the number of steps for Thursday is an approximation.

Therefore the fourth option best represents the Median.

ANSWER:

13,244 best represents the Median

Answer:

A. 31

Step-by-step explanation:

26 + 29 + 31 + 33 + 36 = 155

Average = 155/5 = 31

Answer:

82.82in^2

Step-by-step explanation:

Answer:

Follow the steps above

Answer:

{TT, HH} and {TH}

Step-by-step explanation:

Mutually exclusive just means the three pairs of letters are all different and does not repeat. Only the last choice has three unique pairs of letters: TailTail, HeadHead, and TailHead.

Answer:

What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?

Step-by-step explanation:

The equation of line that is parallel to the given line having slope m = -1 and passes through the point ( -3 , 1 ) is y = -x - 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -3 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

The slope of the line m = -1

Now , the line is parallel to the line passing through P

So , the slopes of the lines are equal

And , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 1 = -1 ( x - ( -3 ) )

y - 1 = -1 ( x + 3 )

Adding 1 on both sides , we get

y = -x - 3 + 1

y = -x - 2

Hence , the equation of line is y - 1 = -1 ( x + 3 )

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Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Answer:

Step-by-step explanation:

In the given figure two chords intersect at a point inside a circle.

From the theorem of the intersecting chords,

Ignoring the negative value of x, the value of EG can be determined as,

Thus, option (A) is the correct option.

Step-by-step explanation:

X can be solved by :-

2x/3 + 3(x-4)/5 = 0 .... given

2x/3 + (3x-12)/5 = 0 ... distribout 3

2x/3 +3x/5 - 12/5 = 0

15(2x/3 +3x/5 - 12/5 = 0)...multiple all no. by 15(GCF)

10x+9x-36 = 0

19x = 36

19x/19 = 36/19

x= 1.89 ~ 2 .

Answer:

32

Step-by-step explanation:

Calculation for how much birdseed does she have left over

First step

(3*8*6*12) - 4-2*30

Second step

=[24+6*(10+2)] - 4-60

Third step

Let remove the bracket of (10+2)

=[24+6*10+6*2] - 4-60

Fourth step

=(24+60+12) - 4-60

Fifth step

=(84+12)-4-60

Sixth step

=96-4-60

Seventh step

=92-60

=32

Therefore the amount of birdseed that she have left over will be 32

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle