15. Use elimination to solve the systems of equations. -7x - 5y = -5 5x + 5y =-5A. (0,1) C. (0,-1) B. (-5,6) D. (5.-6)

The length and width of the rectangle are 5 inches and 1 inches respectively.

The length and width of the rectangle can be found as follows;

l = 3 + 2w

area of a rectangle = lw

where

Therefore,

5 = lw

5 = (3 + 2w)w

5 = 3w + 2w²

2w² + 3w - 5 = 0

Hence,

2w² + 3w - 5 = 0

Therefore,

w = 1  and w = - 5 / 2

width = 1 inches

length =  3 + 2(1) = 5 inches

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Answer:3.76 kg.

Step-by-step explanation:

Answer:

B (Sorry if this is wrong)

Step-by-step explanation:

11x+14<-8

-14 to both sides

11x<-22

divide by 11

x>-2

Answer:

d. above answer is wrong

Step-by-step explanation:

edge

========================================================

Work Shown:

A = probability of getting at least a "3" on the die

A = probability of getting either "3", "4", or "5"

A = 3/6

A = 1/2

B = probability of getting the letter "S" from "Statistics"

B = 3/10 since there are 3 "S" letters out of 10 letters total

C = probability of events A and B happening

C = A*B

C = (1/2)*(3/10)

C = (1*3)/(2*10)

C = 3/20

The probability of at least a three, then the letter S will occur will be 9/60.

Probability of an event is the ratio of number of favorable outcomes to

the total number of outcomes. Probability is a measure of how likely an

event is going to happen. Mathematically, we can write that -

P{E} = (favorable outcomes)/(total number of outcomes)

It is given that a die is rolled then a letter in the word statistics is

randomly selected. Now, the probability of at least a three, then the letter

S will be -

P = 3/6 x 3/10

P = 9/60

Therefore, the probability of at least a three, then the letter S will occur will be 9/60.

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Answer:c

Step-by-step explanation:

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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Answer:

45

2

03

16

26

224

Step-by-step explanation:

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer: f(0)=3/2, f(4)=7/2

Answer:

b and e

Step-by-step explanation:

Answer:

2 inches thick

Step-by-step explanation:

4/1000*500

Thickness of a 500 sheet stack of notebook paper is 5 cm.

What is Measurement units?

A measurement unit is a standard quality used to express a physical quantity.

Given that;

Thickness of a sheet of notebook paper = 0.004 inch

Now,

1 inch = 2.54 cm

Hence, Thickness of a sheet of notebook paper = 0.004 inch

                                                                          = 0.004 × 2.54 cm

                                                                          = 0.01016 cm

                                                                          = 0.01 cm

So, Thickness of a 500 sheet stack of notebook paper = 500 × 0.01

                                                                                    = 5 cm

Thus, Thickness of a 500-sheet stack of notebook paper is 5 cm.

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The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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The data set  0, 2, 5, 8, and 10 have a higher standard deviation but the same mean.

The average distance between each data item and the mean is known as the mean absolute deviation.

The gap between each data value and the mean in absolute terms is represented by this average.

The given data set is 2, 2, 5, 8, 8.

Now, The standard deviation has other uses than serving as a measurement for the normal distribution. It is more commonly used as a measure of spread.

To have a greater standard deviation the data should have more differences from each other.

Therefore, 0, 2, 5, 8, 10 have the same mean but greater standard deviation.

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Depending on the actual equations:

(A) If they correspond to two lines with different slopes (so they intersect), the system of equations will have ONE solution which is given by the x and the y values of the point at which they intersect.

(B) If they correspond to two lines with the SAME slope and DIFFERENT y-intercept, they are "parallel" lines and therefore will never intersect, given NO SOLUTION to the system.

(C) If they correspond to two lines with the SAME slope and SAME y-intercept as well, they are in act the very SAME eq1uation, so they overlap, and such gives you an infinite number of solutions that correspond to all the (x,y) pairs that are part of the line.

But again, if you give me the specific system of equations, we can work on their particullars and submit a precise answer.

Answer: The concept of statistical independence is fundamental to statistical hypothesis testing. In hypothesis testing, we aim to assess whether there is evidence to support a claim or hypothesis about the relationship between variables in a population. The concept of statistical independence allows us to quantify the degree to which variables are related or dependent on each other.

Statistical independence refers to the absence of a relationship between two variables. When two variables are statistically independent, the occurrence or value of one variable provides no information or predictive power about the occurrence or value of the other variable. In other words, knowledge about one variable does not affect our ability to predict or infer the other variable.

Hypothesis testing involves comparing observed data to a null hypothesis, which assumes that there is no relationship or effect between the variables of interest. By assuming statistical independence under the null hypothesis, we establish a baseline against which we can evaluate the observed data and determine whether it provides evidence to reject or accept the null hypothesis.

When conducting statistical analysis, we use various statistical tests and measures to assess the likelihood of observing the data if the null hypothesis were true. If the observed data is highly unlikely under the assumption of independence (i.e., the p-value is below a predetermined significance level), we reject the null hypothesis and conclude that there is evidence of a relationship or dependence between the variables.

However, it's important to note that statistical analysis alone cannot definitively prove or establish causal relationships or dependence between variables. Statistical dependence refers to the presence of a relationship or association between variables, but it does not provide information about the direction or underlying mechanisms of the relationship.

Researchers typically focus on statistical independence rather than statistical dependence because independence is the default assumption when testing hypotheses. By assuming independence, researchers can rigorously evaluate whether the observed data provides evidence to reject the null hypothesis and support the claim of a relationship or effect between variables. Additionally, focusing on independence allows researchers to identify and investigate deviations from independence, which can reveal meaningful patterns, relationships, or dependencies that may exist in the data.

Answer: 48

Step-by-step explanation:

48 people x $12 = $576

$576 – $135 renting banquet = $441

48 people x $5 plate = $240

$441 – $240 = $201

A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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The standard form as: 298

What is standard form?

Standard form is a way of writing numbers a little differently for instance

The number "2 hundreds 9 tens and 18 ones" can be written in standard form as:

298

In standard form, we write the digits in the place value of their corresponding powers of 10. In this case, the digit 2 is in the hundreds place (10)², the digit 9 is in the tens place (10), and the digit 8 is in the ones place (10^0).

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Answer:

-5

Step-by-step explanation:

-3y = 10 + 5

-3y = 15

y = - 5

Answer:

hi

Step-by-step explanation:

-3y-5=10

-3y=10+5

-3y=15

y=15/ -3

y= -5

hope it helps

have a nice day

The correct sentences in the passage are option A, option B, and option E.

Let's check all the options, then we have

Any two squares are either similar or congruent. The statement is true.

If two lines are parallel, they never intersect. The statement is true.

If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.

The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.

A line can be drawn through any two distinct points. The statement is true.

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer: Joe would have 7 apples.

Step-by-step explanation:

Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.

2 + 5 = 7

Joe would have 7 apples.

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

Answer: 2 numbers

Step-by-step explanation:

Since we are looking for even numbers, 0 and 2 must be the last number.

So if we have 0 at the end, there are 6 possibilities:

2350, 2530, 3250, 3520, 5230, 5320.  None of these are less than 1000.

But, if we have 2 at the end, then we have 6 possibilities again:

0352, 0532, 3052, 3502, 5032, 5302. Only two of these are less than 1000.

So the only possibilities are 0350 and 0530, and so there are 2 possibilities.

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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