Answer:
w + 18 = 22
Step-by-step explanation:
HC = 18 lb
HC + GD = 22 lb
GD + HC = 22
GD + 18 = 22
w + 18 = 22
Which sentence from the article would be MOST important to include in a summary of the article?
Which point is the solution set of the given system of inequalities?
After solving, the solution set of the give inequality is (-1, 3)
In the given question, we have to find the solution set of the given system of inequalities.
The given inequalities are
x+y≥2...................(1)
4x+y≥-1.................(2)
To solve the given inequality we use the elimination method.
Multiply equation 1 by 4 on both side, we get;
4x+4y≥8...................(3)
Subtract equation 3 and 2, we get;
3y≥9
Divide by 3 on both side we get;
y≥3
Put the value of y in equation 1
x+3≥2
Subtract 3 on both side, we get;
x≥-1
Hence, the solution set of the give inequality is (-1, 3).
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The write question is;
Which point is the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
Im stuck and i need help. Will give brainliest to answer!!!!!
Write an equation of the line with a slope of 3 that passes through the points (1,5) and (-3,-7)
Answer:
y = 3x + 2
Step-by-step explanation:
y = 3x + c
substitute x and y with one of the points (ex: (1,5)):
5 = 3(1) + c
5 - 3 = c
2 = c
so
y = 3x + 2
To make sure this is correct, substitute x and y with the other point (ex: (-3,-7)):
-7 = 3(-3) +2
-7 = -9 + 2
-7 = -7
that means the equation is true and as it passes through both points.
Explain the differences between a positive association and a negative association of bivariate data
Answer:
A positive association between two variables means that as the values of one variable increase, so do the values of the other variable. This is often represented by a line or curve that slopes upward to the right on a scatterplot. On the other hand, a negative association between two variables means that as the values of one variable increase, the values of the other variable decrease. This is often represented by a line or curve that slopes downward to the right on a scatterplot.
Triangle DEF is formed by connecting the midpoints of the side of triangle ABC. The lengths of the sides of triangle ABC are shown. Find the perimeter of triangle DEF. Figures not necessarily drawn to scale.
Step-by-step explanation:
as per the midsegment theorem
the lines connecting the half-points are half as long as the corresponding parallel side lines of the main triangle, ABC.
EF is half as long as AB = 4/2 = 2
DE is half as long as AC = 6/2 = 3
DF is half as long as BC = 4/2 = 2
so, the perimeter of DEF is
2 + 3 + 2 = 7
Jenna has
131
131131 dog biscuits. She wants to give them as gifts to each of her
4
44 poodles.
How many biscuits does each poodle get?
By using division, it can be calculated that
Each poodle will get 32.75 biscuits
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem on division
Number of dog biscuits Jenna has = 131
Number of poodles Jenna has = 4
Number of biscuits each poodle will get = 131 [tex]\div[/tex] 4 = 32.75
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Complete Question
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodle get?
What is a percentage of 1 2?
There is no percentage of 1 2, as percentages are a fraction of 100 and 1 2 is not a fraction.
A percentage is a fraction of 100, while 1 2 is not a fraction. Therefore, there is no percentage of 1 2.A percentage is a way to express a number as a fraction of 100. For example, 25% is equivalent to the fraction 25/100. However, 1 2 is not a fraction, and therefore cannot be expressed as a percentage.1 2 can be expanded to 100 by multiplying both numerator and denominator by 50. 1 2 would then be equal to 50/100, or 50%.
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154 is the same as the product of 158 and n, decreased by 132
Answer:
Equation: 154 = 158n - 132 n = 11/6
Step-by-step explanation:
Let's start by converting this into an equation. Some keywords to look for are "is" which means an equal sign (=), "product" which is multiplication (*), and "decreased" which means a minus sign (-):
So this is our equation: 154 = 158n - 132
Now we have to solve for n:
First, we add 132 to both sides to isolate the n more:
286 = 158n
Then to completely isolate the n, we divide both sides by 158
286
------ = n
156
n = 11/6, final answer.
How do you find the slope intercept form with one point and parallel lines?
Parallel lines have equal slopes, so the slope of the line is then put in slope-intercept form.
First, put the equation of the line given into slope-intercept form by solving for y. You get [tex]y=-2x+5[/tex], so the slope is –2. Parallel lines have equal slopes, so the slope of the line we want to find is [tex]-2[/tex]. Plugging in the point given into the equation [tex]y=-2x+b[/tex] and solving for b, we get [tex]b=5[/tex].
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How would you describe the graph for the equation |x|=2?
Answer:
Below
Step-by-step explanation:
It will be just two vertical lines one at x = -2 the other at x = 2
( There are no 'circles' ) ....here is a graph:
A hat contains the names of seven boys and three girls. If one name is drawn from the hat at random, what is the probability it is the name of a boy? enter your answer as a reduced fraction.
The probability of one name drawn from the hat is 0.7 if a hat contains the names of seven boys and three girls.
We know that probability is defined as the division of number of favorable outcomes to the total number of outcomes.
In hat number of names of boys are =7 and
number of names of girls are =3
So, total number of names are =number of boys names + number of girls names
=>total number of names are =7+3
=>total number of names are=10
Now, number of boys are =7
So, count of favorable outcomes is =7 and total number of outcome is 10
=>Probability of choosing a boy name is =number of favorable outcome/total number of outcome
=>P(E) = 7/10
=>P(E)=0.7
Hence, required probability is 0.7
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Quadrilateral LMNP has diagonals LN and MP. The two diagonals intersect at Point D. If D is the midpoint of LN and MP, which of the following relationships must
be true?
The correct relationship is Δ PDN ≅ Δ MDL
What is a quadrilateral?The quadrilateral is a type of 2D geometrical shape with four sides, the sum of its interior angles is 360°.
Given that, Quadrilateral LMNP has diagonals LN and MP. The two diagonals intersect at Point D. If D is the midpoint of LN and MP.
Considering the triangles, Δ PDN and Δ MDL
According to definition of midpoints,
LO ≅ ON
MO ≅ OP
∠ MDL ≅ ∠ PDN (vertically opposite angles)
Therefore, Δ PDN ≅ Δ MDL by SAS rule.
Hence, option a) Δ PDN ≅ Δ MDL, is correct.
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Leila spent a total of $45 at the grocery store. Of this amount, she spent $27 on fruit. What percentage of the total did she spend on fruit?
Answer:
She spend on fruit:
60%
Step-by-step explanation:
27/45 = 0.6
0.6 * 100 = 60%
What is 1 squares in square Metres?
Answer:
Squares are the most common unit of measurement referenced when it comes to overall house size, and one square is equivalent to 9.290304 square metres (confusing, huh
what is 3 3/4 + 2 5/7 pls tell me and whoever answers thank you
Answer:
1 13/28
Step-by-step explanation:
Hopefully you can see the picture, that picture shows how I solved it bc it's hard to type it and also bc u might have to show your work in order for you to solve it and get credit.
A farmer has 63 cows and 81 sheep. Write the ratio of cows to sheep in its lowest terms.
Answer:
7:9
Step-by-step explanation:
The basic ratio is 63:81 but to simplify this ratio you can simplify each number as a multiplication of its factors.
63=3*3*7
81=3*3*3*3
Now find the factors they have in common and get rid of them.
63=3*3*7
81=3*3*3*3
The numbers in bold are all the factors that they have in common.
You can cancel these numbers out.
Now the remaining numbers you can put into a ratio in the same order
7:3*3
7:9
write 36 as a product of its prime factors, write the factors in order from smallest to biggest
Answer:
1, 2, 3, 4, 6, 9, 12, 18, 36
Step-by-step explanation:
From smallest to biggest, the necessary variables are 1, 2, 3, 4, 6, 9, 12, 18, and 36. By expressing 36 as the product of the components, we may get the factors.
how do i write a composition of transformations that maps a polygon onto another polygon that are congruent
Answer:A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) Distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?
Step-by-step explanation:
do not uses this site i got all my answers wrong going here
A runner i elected at random find the probability that the ditance covered by the runner i a prime number
Probability that the distance covered by the runner is a prime number is 1/5.
How do you calculate probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
What are the 3 types of probability?Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all distinct outcomes that could occur).
Subjective Probability. Definition of Relative Frequency.
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pls help me with this question
Answer: 11
Step-by-step explanation: I think it is 11 if you look and the 20 it goes down to 15 this is minus 5 so if you look at 16 I would think you just subtract 5
how do I solve for x in this equation: 8(x-3)+7=2x(4-7)
Answer:
x = 17/14 = 1 3/14
Step-by-step explanation:
You want the value of x in 8(x-3)+7=2x(4-7).
SolutionIt often works well to simplify the equation first.
8x -24 +7 = 2x(-3) . . . . . use the distributive property
14x -17 = 0 . . . . . . . . add 6x
x -17/14 = 0 . . . . . . divide by 14
x = 17/14 = 1 3/14
What is a function calculator?
A Function Calculator is a free online tool that displays the graph of the given function.
Function Calculator
The calculator will try to find the domain, range, x-intercepts, y-intercepts, derivative, integral, asymptotes, intervals of increase and decrease, critical (stationary) points, extrema (minimum and maximum, local, relative, absolute, and global) points, intervals of concavity, inflection points, limit, Taylor polynomial, and graph of the single-variable function. The interval can be specified. Parity will also be determined.
It's able to do simple arithmetic, which includes addition, subtraction, multiplication, and division.
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Find the slope of the line that passes through (8,3) and (1,7)
Answer:
Slope = -4/7
Step-by-step explanation:
The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1), where m is the slope of the line, (x1, y1) and (x2, y2) are two points on the line. Plugging in the values from the given points, we get:
m = (7 - 3) / (1 - 8) = 4 / -7 = -4/7
Therefore, the slope of the line that passes through (8,3) and (1,7) is -4/7.
jason is trying to remember the five digit combination to his safe. he knows that he only used digits $1$ through $5$ (possibly repeated), that every even digit was followed by an odd digit, and every odd digit was followed by an even digit. how many possible combinations does jason need to try?
180 possible combinations does jason need to try
What is Permutation?
In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered.
What is a Combination?
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.
If the combination begins with an odd digit
We have 3 * 2 * 3 * 2 * 3 = 108 possible combinations
If the combination starts with an even digit
We have 2 * 3 * 2 * 3 * 2 = 72 possible combinations
So 108 + 72 = 180 possible combinations
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one commercially available ten-button lock may be opened by depressing -- in any order -- the correct five buttons. the sample shown below has \{1, 2, 3, 6, 9\}{1,2,3,6,9} as its combination. suppose that these locks are redesigned so that sets of as many as nine buttons or as few as one button could serve as combinations. how many additional combinations would this allow?
The required additional combinations would this allow is 770.
What is combination?Mathematical technique that decides the quantity of potential game plans in an assortment of things where the request for the choice doesn't make any difference. In mixes, you can choose the things in any request. Combinations can be mistaken for changes.
According to question:Right now there are ¹⁰C₅ possible combinations. With any number x from 1 to 9, the quantity of ways of picking a bunch of x buttons is ∑₁⁹ ¹⁰Cₐ
Using identity,
∑ⁿₐ ⁿCₐ = 2ⁿ
So the quantity of extra combinations is simply,
2¹⁰ - ¹⁰C₀ - ¹⁰C₁₀ - ¹⁰C₅
1024 - 1 - 1 - 252 = 770
Thus, possible combinations are 770.
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the pessimistic approach assumes that the worst possible outcome for each alternative will occur and selects the best of these. is it true or false ?
True. The pessimistic approach assumes that the worst-case scenario for each alternative will occur and chooses the best of these.
An optimistic approach indicates that the decision-makers believe the outcomes will benefit the organisation. A pessimistic approach, on the other hand, indicates that the decision-makers are convinced that the outcomes will be detrimental to them. The pessimistic approach allows decision-makers to plan for the worst-case scenario. In the optimistic approach, decision-makers believe that the alternatives chosen will produce the best results. In other words, the decision-makers are confident that their options are the best for the circumstances. The pessimistic approach is characterised by decision-makers assuming that the choices they make will have the most negative outcomes.
Thus, the pessimistic approach is the approach which is used to assume the worst possible outcomes for each alternative will occur.
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An entry-level civil engineer earns an average bi-weekly net pay of $2,104.95. The engineer has created a monthly budget using the following percentages for expenses:
Percent
Housing 30%
Food/Household 20%
Savings 5%
Transportation 10%
Debt 10%
Entertainment 5%
Medical/Personal Care 3%
Giving 5%
Clothing 2%
Miscellaneous 10%
Which balance sheet correctly represents the engineer's income, expenses, and balance?
Income
Amount
Bi-weekly income $2,104.95
Total Monthly Income $4,560.73
Expenses
Percent Amount
Housing 30% $1,368.22
Food/Household 20% $912.15
Savings 5% $228.04
Transportation 10% $456.07
Debt 10% $456.07
Entertainment 5% $228.04
Medical/Personal Care 3% $136.82
Giving 5% $228.04
Clothing 2% $91.21
Miscellaneous 10% $456.07
$4,560.73
Balance
Income $4,560.73
Expenses $4,560.73
Balance $0
Income
Amount
Bi-weekly income $2,104.95
Total Monthly Income $4,209.90
Expenses
Percent Amount
Housing 30% $1,262.97
Food/Household 20% $841.98
Savings 5% $210.50
Transportation 10% $420.99
Debt 10% $420.99
Entertainment 5% $210.50
Medical/Personal Care 3% $126.30
Giving 5% $210.50
Clothing 2% $84.20
Miscellaneous 10% $420.99
$4,209.90
Balance
Income $4,209.90
Expenses $4,209.90
Balance $0
Income
Amount
Bi-weekly income $2,104.95
Total Monthly Income $2,104.95
Expenses
Percent Amount
Housing 30% $631.49
Food/Household 20% $420.99
Savings 5% $105.25
Transportation 10% $210.50
Debt 10% $210.50
Entertainment 5% $105.25
Medical/Personal Care 3% $63.15
Giving 5% $105.25
Clothing 2% $42.10
Miscellaneous 10% $210.50
$2,104.95
Balance
Income $2,104.95
Expenses $2,104.95
Balance $0
Income
Amount
Bi-weekly income $2,104.95
Total Monthly Income $3,157.43
Expenses
Percent Amount
Housing 30% $947.23
Food/Household 20% $631.49
Savings 5% $157.87
Transportation 10% $315.74
Debt 10% $315.74
Entertainment 5% $157.87
Medical/Personal Care 3% $94.72
Giving 5% $157.87
Clothing 2% $63.15
Miscellaneous 10% $315.74
$3,157.43
Balance
Income $3,157.43
Expenses $3,157.43
Balance $0
The balance sheet that correctly represents the engineer's income, expenses, and balance is balance number 4.
How to determine percentages of income?We should know that a balance sheet is a summary of assets and liabilities and income and expenses of a legal person. This implies that a month has two bi-weeks. therefore every income and expense is multiplied by 2 to get the following figures.
Income Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,350.50
Expenses Percent Amount
Housing 35% $1,522.68
Food/Household 10% $435.05
Savings 10% $435.05
Transportation 15% $652.58
Debt 5% $217.53
Entertainment 6% $261.03
Medical/Personal Care 5% $217.53
Giving 5% $217.53
Clothing 4% $174.02
Miscellaneous 5% $217.53
$4,350.50
Balance
Income $4,350.50
Expenses $4,350.50
Balance $0
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Solve
3(2x + 9) = 24
Answer:
-0.5
Step-by-step explanation:
3(2x+9)=24
Distribute the 3
3(2x)+3(9)=24
6x+27=24
Subtract both sides by 27
6x= -3
Divide both sides by 6
x= -0.5
Hopes this helps
Answer:
x = -1/2
Step-by-step explanation:
Given equation,
→ 3(2x + 9) = 24
Now the value of x will be,
→ 3(2x + 9) = 24
→ 6x + 27 = 24
→ 6x = 24 - 27
→ 6x = -3
→ x = -3/6
→ [ x = -1/2 ]
Hence, the value of x is -1/2.
Which one of the following is NOT equivalent to 3/4
a 16/24
b 15/20
c 6/8
d 24/32
Which of the following is NOT equivalent to 3/4?
Simplest form:
a. [tex]\dfrac{16}{24}[/tex]
[tex]\dfrac{16\div8}{24\div8} =\dfrac{2}{3}[/tex]
Option A is not equivalent to 3/4
b. [tex]\dfrac{15}{20}[/tex]
[tex]\dfrac{15\div5}{20\div5} =\dfrac{3}{4}[/tex]
Option B is equivalent to 3/4
c. [tex]\dfrac{6}{8}[/tex]
[tex]\dfrac{6\div2}{8\div2} =\dfrac{3}{4}[/tex]
Option C is equivalent to 3/4
d. [tex]\dfrac{24}{32}[/tex]
[tex]\dfrac{24\div8}{32\div8} =\dfrac{3}{4}[/tex]
Option D is equivalent to 3/4.
Option A would be your answer since it is the only option that isn't equivalent to 3/4.
What is slope formula in 7th grade?
The slope formula generally used in the 7th grade is as follows -
1. The Point slope form -
Suppose you are given two points (x1,y1) and (x2,y2) or a graph consisting of two points whose slope is asked, then you use this method.
These points are often intercepts of the x and/or y axes.
Here you can use the formula for the equation of the slope which is -
m= (y2−y1) / (x2−x1).
2. The Slope-intercept Form-
Here, you are given the linear equation that is in the form y=mx+b.
If not you can manipulate it into that form.
Now, the slope here is m which is the coefficient of x.
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