We are given to linear equations which are
-7x - 5y = -5 --------------- equation 1
5x + 5y = -5 ---------------- equation 2
Both equation 1 and 2 can be solve simultaneously using the elimination method
Let us eliminate y first
We are eliminating y because it has the same value in both equations
Add equation 1 and equation 2 together
-7x + 5x - 5y + 5y = -5 + (-5)
-2x + 0y = -5 - 5
-2x + 0 = -10
-2x = -10
Divide both sides by -2
-2x/-2 = -10/-2
x = 10/2
x = 5
To calculate y put x = 5 in equation 1
-7x - 5y = -5
since y x - 5
-7(5) - 5y = -5
-35 - 5y = -5
Collect the like terms
-5y = -5 + 35
-5y = 30
Divide both sides by -5
-5y/-5 = 30/-5
y = -6
x = 5 and y = -6
(5, -6)
The answer is option D
What’s the answer (no link I give brainly)
What are the length and width of a rectangle if the length is
3 inches longer than twice the width and the area of the
rectangle is 5 in2?
The length and width of the rectangle are 5 inches and 1 inches respectively.
How to find the length and width of a rectangle?The length and width of the rectangle can be found as follows;
l = 3 + 2w
area of a rectangle = lw
where
l = lengthw = widthTherefore,
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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A farmer sells 9.8 kilograms of apples and pears at the farmer's market.
4/5
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:3.76 kg.
Step-by-step explanation:
Which number line shows the solution to
11x + 14 < –8?
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
A die is rolled then a letter in the word statistics is randomly selected. What is the probability of at least a three, then the letter S?
1/5
1/4
3/20
29/30
========================================================
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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Predict the shape of the molecule.
2-
S
:0:
A. linear
B. trigonal planar
C. tetrahedral
D. bent
Answer:c
Step-by-step explanation:
A parallelogram is (x + 5) cm long and
(x-8) cm wide. Find the perimeter of
If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.
What is the perimeter?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.
Consider the function below.
f(x)=8/x−6
What would be the output if the input is 8?
8/14
8/6
2 1/3
4
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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list all number sets that apply to each number
Answer:
45
2
03
16
26
224
Step-by-step explanation:
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
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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Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
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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The function f(x) = 1/2 x + 3/2 is used to complete this table
X. F(x)
-1. 1
0. 3/2
1. 2
2. 5/2
Which statements are true of the given function check all that apply.
F[-1/2]=-2
F(0)=3/2
F(1)=-1
F(2)=1
F(4)=7/2
Answer: f(0)=3/2, f(4)=7/2
Answer:
b and e
Step-by-step explanation:
A sheet of notebook paper is four thousandths of an inch thick. What is the thickness, in centimeters, of a 500-sheet stack of notebook paper
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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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?
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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A data set is shown. Drag 5 numbers into the box to create another data set with the same mean but a greater standard deviation for 2,2,5,8,8
The data set 0, 2, 5, 8, and 10 have a higher standard deviation but the same mean.
What is the mean absolute deviation?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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Determine whether the equations have one solution, no solutions, or infinite solutions.
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.
Discuss how the concept of statistical independence underlies statistical hypothesis testing in general.
Based on statistical analysis, are we justified in asserting that two variables are statistically dependent? Why or why not?
Explain why researchers typically focus on statistical independence rather than statistical dependence.
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.
by pairing the ratios
the student council is having a dinner fund-raiser. the cost to rent the banqet is 135. the cost per plate is $5. if the tickets to the dinner banquet are 12$ per person, how many people must attend in order for the school to make a profit?
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
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?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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How do you write the standard form for 2 hundreds 9 tens and 18 ones
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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-3y-5=10 Show your work please, thank you.
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
Select the correct sentences in the passage. Which statements are true? Any two squares are either similar or congruent. If two lines are parallel, they never intersect. If all the angles of a polygon are congruent, then it is a square. The intersection of two lines always forms 4 congruent angles. A line can be drawn through any two distinct points.
The correct sentences in the passage are option A, option B, and option E.
Any two squares are either similar or congruent. If two lines are parallel, they never intersect.A line can be drawn through any two distinct points.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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Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
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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If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?
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.
please helo my screenshot below
Answer:
0.0451
Step-by-step explanation:
Answer:
451/10000 or 0.0451 in decimal form
Step-by-step explanation:
Hope this helps :)
how many even numbers less than 1000 can be formed from the given digits 0,2,3,5; if repetition is not allowed ?
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.
Help???? i’m not good w Algebra
Answer:
Answer A
Step-by-step explanation:
All equations except A end up as no solutions when put in an Algebra calculator
what are exchange rates?
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.
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
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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