Answers
Equivalent expressions are expressions that have the same result.
The expression in this problem is defined as follows:
13 + 4g.
The commutative property is applied in this problem, meaning that the order of the terms is exchanged, hence the equivalent expression is given as follows:
4g + 13.
The numeric values of the expression are given as follows:
g = 2: 13 + 4(2) = 21, 4(2) + 13 = 21.g = 10: 13 + 4(10) = 53, 4(10) + 13 = 53.More can be learned about equivalent expressions at https://brainly.com/question/15775046
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Related Questions
HELP PLEASE ?! HURRY
Answers
Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
What is a expression? What is a mathematical equation? What is constant of proportionality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.The general equation of a straight line is y = mx + c. The equation can also be used to represent direct proportionality as -
y = mx
m = y/x
[m] is called constant of proportionality.
Given is a graph as shown in the figure.
The graph represents a proportional relationship. The possible coordinates that can be plotted are (x, y) and not (y, x). Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
Therefore, only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
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The number of beads in a jar is 50 to the nearest ten.
(a) What is the minimum possible number of beads in the jar?
(b) What is the maximum possible number of beads in the iar?
Answers
b) the maximum possible number of beads in the jar is 54
Answer:
a) 45
b) 54
Step-by-step explanation:
a) To be able to round up to the nearest 10, the number in the "ones column" needs to be 5 at the minimum.
You could argue it could be a decimal point however, you shouldn't really have a decimal of a bead ( it's possible but it over complicates the answer ) and, it's to the nearest 10, not nearest one decimal point for example.
Therefore, the min is 45 beads
b) ( The above poster was correct oops, I made a silly mistake )
The max is 54 beads as if anything in the ones column is under 4, you can't round up to the nearest 10. Hence it remains as 50 when rounding
Therefore, the max is 54 beads
Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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3. The coordinate (4, 3) is the solution to which system of equations?
Answers
The coordinate (4, 3) is the solution of the following system of equations:
y = 1/2x + 1 and y = -x + 7
y = x - 1 and y = 1/4x + 2
The solution implies that the coordinate is the: point of intersection.
What is the Solution to a System of Equations?The solution to a system of equations are the coordinate of the point where the two lines that represent the equations of the system intersect each other. The coordinate of x and the coordinate of y, when plugged into any of the equations would be true.
The graph of the system of equations, y = x - 1 and y = 1/4x + 2 shows that both equations intersect at the point with the coordinate (4, 3) [see the graph in figure 1].
Also, the graph in figure two shows that y = 1/2x + 1 and y = -x + 7 also intersect at (4, 3).
Therefore, we can state that, the system of equations with (4, 3) as the solution are:
y = 1/2x + 1 and y = -x + 7
y = x - 1 and y = 1/4x + 2
The solution means point of intersection.
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Triangle KJL is similar to triangle HGI what is the length of HG
Answers
Answer:
3.75mm
Step-by-step explanation:
4.5/3=1.5
1.5(2.5)=3.75
the ratios are the same
A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.
Which inequality represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?
fifty x plus two hundred fifty y, symbol, four thousand five hundred
two hundred fifty X, plus fifty Y, symbol, four thousand five hundred
two hundred fifty X, plus fifty Y, symbol, four thousand five hundred.
fifty X plus two hundred fifty Y, symbol, four thousand five hundred
...
Answers
The inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500
Which inequality represents all possible combinations?
The given parameters are:
Spending = At most $4,500
Cost of monitor (x) = $250 per unit
Cost of keyboard (y) = $50 per unit
The total spending is represented as
Total = 250 * x + 50 * y
This gives
Total = 250x + 50y
The spending is at most $4,500 i.e less than or equal to
So, we have
250x + 50y <= 4500
Hence, the inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500
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the volume of a rectangular prism is represented by the expression (x^3-2x^2-20x-24). if the length is (x-6) and the height and width are equal, what is the width of the prism?
Answers
The width of the prism is x+2. The smallest dimension of an item or figure on a planar surface is its width.
How do you find volume in rectangular prisms?When calculating the volume of a rectangular prism, we multiply the prism's length, width, and height.
A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.
Given, the volume of the prism
= x³ + 2x²+ 20x - 24
length = (x- 6 )
height and width are equal then
h * w = x³ + 2x²+ 20x - 24 / (x - 6)
= (x + 2 ) (x + 2)
h = (x +2 )and
w = (x+2)
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Reflect TIY across y=x to map onto DOG.
(PLEASE HELP!)
Answers
The coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The graph is shown in the picture.
From the picture the coordinates are:
I(-5,0), Y(0, 2), and T(4, 4)
The transformation rule:
(x, y) --> (y, x)
I(-5,0) --I'(0, -5)
Y(0, 2) - -> Y'(2, 0) and
T(4, 4) --> T'(4, 4)
Thus, the coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).
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What is the value of x in the solution of systems below?
Answers
The solution for this system of equation will be [tex]x=4, y=-3.[/tex]
We will solve the given system of equation by the method of substitution. Now we label the equations as [tex]2x+y=5....(i)[/tex] and [tex]-3x-5y=3....(ii)[/tex].
Now from equation [tex](i)[/tex] we will find the value of [tex]y[/tex] which is [tex]5-2x[/tex]. Then we will substitute the value of [tex]y[/tex] in equation [tex](ii)[/tex].
So, [tex]-3x-5\times(5-2x)=3[/tex]
⇒ [tex]-3x-25+10x=3[/tex]
⇒ [tex]7x-25=3[/tex]
⇒ [tex]7x=28[/tex]
[tex]\therefore x =\frac{28}{7}=4....(iii)[/tex]
Now we will take the value of [tex]x[/tex] from equation equation [tex](iii)[/tex] and substitute in equation [tex](i)[/tex] to get the value of [tex]y[/tex].
So, [tex](2 \times 4)+y=5[/tex]
⇒ [tex]8+y=5[/tex]
⇒ [tex]y=8-5[/tex]
[tex]\therefore y=3[/tex]
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Damian was out at a restaurant for dinner when the bill came. His dinner came to $26. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents?
Answers
Answer:
34 dollars and 6 cents
Step-by-step explanation:
1 percent = 0.26
0.26 x 31 = 8.06
26 + 8.06 = 34 dollars and 6 cents
I believe it is 34.06
What is the correct prime factorization of 24? 2 ∙ 2 ∙ 6 2 ∙ 3 ∙ 3 2 ∙ 2 ∙ 3 ∙ 3 2 ∙ 2 ∙ 2 ∙ 3
Answers
Answer:
2x2x2x3
Step-by-step explanation:
justin purchased a lawn sprinkler costing 9.23. If Justin recived 9.07 in change, how much money did he give the cashier
Answers
Answer: $18.30
Step-by-step explanation:
The sprinkler cost 9.23, and the change is 9.07, so adding both of them equal $18.30
Answer 18.3
eeeeeeeeeeeeeeeeeeeeeeee
In this diagram, the area of the large square is equal to the combined areas of the tilted square and the four right triangles.
(the picture)
When written as an equation, this relationship can be simplified algebraically, as shown in these 4 steps.
Step 1: (a + b) (a + b) = c2+ 2ab
Step 2: a2 + 2ab + b2 = c2 + 2ab
Step 3: a2 + 2ab ─ 2ab + b2 = c2 + 2ab ─ 2ab
Step 4:
What equation fits in the box in Step 4 to complete the proof
(part B)
Builders use the equation from Part A to determine the number, height, and depth of stairs necessary to extend from the first floor to the second floor of a building.
Given that the ceiling is 12 feet high, stairs are 8 inches high and the stairwell is 16 feet long, describe in detail how a builder could use the equation to determine the number, height, and depth of the stairs.
Answers
Answer:
Step-by-step explanation:
how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?
Answers
A small change in x can change the conclusion of our test.
Given :
how would your conclusion change if your sample mean had been 1.355 mg/l.
t - test :
A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.
if x = 1.355
t = 1.355 - 1.3 / 0.18 / [tex]\sqrt{30}[/tex]
= 0.055 / 0.18 / [tex]\sqrt{30}[/tex]
= 0.055 * [tex]\sqrt{30}[/tex] / 0.18
= 1.67
df = n - 1
= 30 - 1
= 29
P - value from t table :
p = 0.525
fail to reject [tex]H_0[/tex]
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Full question :
The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .
how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?
What is the slope of the line?
5(y+2)=4(x-3)5(y+2)=4(x−3)
Answers
Answer:
4/5
Step-by-step explanation:
help me please!!! :)
Answers
Answer:
A
(will be continued)
Step-by-step explanation:
this is an exponential graph
The original mass is 7.71 because it is being multiplied by the percentage.
0.9333 in percentage form is 93.33
Since it is being multiplied, by the original mass this means that 93.33% of it is the amount being left over.
100% - 93.33% = 6.67%
this is the decrease in the amount of the thing
***tell me if i explained it clearly i'm not sure if i did
$35.82 total. He gives the cashier $50. How much change should Rishank receive?
Answers
Answer: $14.18
Step-by-step explanation:
Because total change is the amount the cashier is giving back to us,
we can do
$ amount given - $ price of order = $ total change
So:
50 - 35.82 = $14.18
The cashier will give us $14.18 back in change.
There is a dramatic change in desert temperatures from day to night because:
A: of the lack of nitrogen in the soil.
B: of the lack of water.
C: sand is such a poor insulator.
D: of the lack of vegetation
Answers
There is a dramatic change in desert temperatures from day to night because B. of the lack of water.
Why is there a change in temperature?It should be noted that because the air in the desert is so dry, heat escapes quickly at night, the temperature can vary dramatically from day to night. The temperature during the day averages 38°C, while at night it can drop to -4°C in some deserts. The temperature varies greatly depending on where you are in the desert.
During the day, the sand's radiation from the sun's energy superheats the air, causing temperatures to rise. And, because the desert air is so dry, heat escapes quickly at night, according to NASA. The desert biomes are the driest of all biomes.
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Jane had 5 1/6 pecan pies. Marge had 4 3/6 pecan pies. How much pie do they had all together?
Answers
Answer:
9 4/6
Step-by-step explanation:
5 + 4 = 9
1/6 + 3/6 = 4/6
9 4/6
Hope this helps! :)
What is the value of K?
Answers
After solving the quadratic equation, the value of k will be equal to 71.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
4x² - 5x = -6
4x² - 5x + 6 = 0
k = b² - 4ac
⇒ (-5)² - 4(4)(6)
k = 25- 96
k = -71 or,
k = i(71)
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A frying pan has a diameter of 13 inches. What is the area to the nearest whole square inch of the smallest cover that will fit on top of the frying pan
Answers
Answer:
176cm
Step-by-step explanation:
area of a circle(cover)= pie r squaretherefore r=13÷2 =r=7.5. and pieces =22÷7
then we substitute
22÷7×(7.5 ×7.5)
=3.14×56.25
=176.58
to the nearest whole =176cm
the graph shoes the value a stock( to the nearest dollar) over an 8-hour period. FInd the average rate of change in the stock from hour 3 to hour 7. Round to the nearest cent if necessary.
Answers
The average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.
What is average rate of change in stock?
By subtracting the price of a security at time B from the price of the same security at time A and dividing the result by the price at time A, the price rate of change can be calculated. The indicator is a technical analysis tool that measures unbounded velocity versus a zero-level middle.We need to find the average rate of change of stock from 1 hour to 6 hours.
The value of stock was $11 in hour 1 and $10 in hour 6.
Average rate of change = Δy/ Δx
= $10 - $11 / 6-1
= - $1/5
= -$0.20 /hr
Hence, the average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.
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PLEASE HELP!! WILL GIVE BRAINLIEST AND 25 POINTS!!
Solve for x. Round your answer to the nearest tenth.
A. 11.5
B. 10.2
C. 12.0
Answers
Answer: 11.5
Step-by-step explanation:
[tex]\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5[/tex]
What is the answer i need answers now I'm am going to fail
pls explain to
Answers
Answer:
Step-by-step explanation:
It is not a prime factorization because the term 8 is common multiplied by 2 and the line has 2 elevated to 3 that itselt is 8.
A prime factorization should be stay equal without any commom multiples.
what is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial
Answers
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
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Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 9x2 − 3xy + 5. The friends have already collected the following number of cans:
Jessa: 5xy + 2
Tyree: 6x2 − 5
Ben: x2
Part A: Write an expression to represent the amount of canned food collected so far by the three friends. Show all your work. (5 points)
Part B: Write an expression that represents the number of cans the friends still need to collect to meet their goal. Show all your work. (5 points)
Answers
Answer:
Part A
7x² + 5xy – 3
Part B
2x² – 8xy + 8
Step-by-step explanation:
Part A
the canned food collected so far is the sum of the canned food the three friends have by combining the expression
5xy + 2 + 6x² – 5 + x²
= 6x² + x² + 5xy + 2 – 5
= 7x² + 5xy – 3
Part B
The total of cans the friend need to collect to meet their goal is the canned food collected so far minus their targeted goal
= 9x² – 3xy + 5 – (7x² + 5xy – 3)
= 9x² – 3xy + 5 – 7x² – 5xy + 3
= 9x² – 7x² – 3xy – 5xy + 5 + 3
= 2x² – 8xy + 8
i hope this helps
You have two instruments with which to measure the height of a tower. If the true height is 100 meters, measurements with the first instrument vary with mean 100 meters and standard deviation 1. 2 meters. Measurements with the second instrument vary with mean 100 meters and standard deviation 0. 85 meter. You make one measurement with each instrument. Your results are X1 for the first and X2 for the second, and are independent. A) To combine two measurements, you might average them, Y=(X1+X2)/2. What are the mean and standard deviation of Y? b) It makes sense to give more weight to the less variable measurement because it is more likely to be close to the truth. Statistical Theory says that to make the standard deviation as small as possible you should weight X2 is very close to half the variance of X1, so X2 should get twice the weight of X1. That is, use W=1/3X1 + 2/3X2 What are the mean and standard deviation of W?
Answers
(a) The mean of Y is 100 meters, and the standard deviation of W is approximately 0.7348 meters.
(b) The mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.
a) To find the mean and standard deviation of Y, where Y = (X₁ + X₂) / 2, we use the properties of the mean and variance of a sum of independent random variables.
Mean of Y:
The mean of Y is simply the average of the means of X₁ and X₂, as the measurements are independent and have the same true height of 100 meters.
Mean(Y) = (Mean(X₁) + Mean(X₂)) / 2 = (100 + 100) / 2 = 100 meters
The standard deviation of Y:
When adding or subtracting independent random variables, the variances add up. Since the measurements are independent, we can use the formula:
Var(Y) = Var((X₁ + X₂) / 2) = (Var(X₁) + Var(X₂)) / 4
Now, calculate the variance of Y:
Var(Y) = (1.2² + 0.85²) / 4 ≈ 0.54
Standard deviation(Y) = √Var(Y)
≈ √0.54
≈ 0.7348 feet
b) Now, let's find the mean and standard deviation of W, where W = (1/3)X₁ + (2/3)X₂.
Mean of W:
Mean(W) = (1/3) * Mean(X₁) + (2/3) * Mean(X₂)
= (1/3) * 100 + (2/3) * 100
= 100 meters
The standard deviation of W:
To calculate the standard deviation of W, we need to find the variance of W and then take its square root.
Var(W) = (1/3)² * Var(X₁) + (2/3)² * Var(X₂)
= (1/9) * 1.2² + (4/9) * 0.85²
Now, calculate the variance of W:
Var(W) = 0.0181 + 0.1956 =0.481
Standard deviation(W) = √Var(W)
≈ √0.481
≈ 0.6935 meters
So, the mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.
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Find the area of the trapezium.
Answers
Answer:
68 cm^2
Step-by-step explanation:
A = ((a+b)/2) x h
A = ((6+11)/2) x 8
A = 68 cm^2
I hope my answer helps you.
Answer:
Area of the trapezium is 68[tex]cm^{2}[/tex]
Step-by-step explanation:
[tex]Given[/tex],
[tex]Parallel side\\[/tex] [tex]A[/tex]= 6cm
[tex]Parallel[/tex][tex]sideB=11cm[/tex]
[tex]Height = 8[/tex]
Formula to find the area of the trapezium
[tex]Area[/tex] [tex]of[/tex][tex]Trapezium[/tex]=[tex]\frac{1}{2}(a+b)h[/tex]
[tex]\frac{1}{2}[/tex][tex](6+11)8[/tex]
[tex]\frac{1}{2}[/tex] X[tex]136\\[/tex]
[tex]68[/tex]
Hence the area of the trapezium is 68
2. Fill in the blanks to factor the trinomial 3x² + 13x - 10 by grouping.
3x² + 13x - 10 = 3x² -
=
3x²-x+.
_X+X-10
(3x - 2) +(3x - 2)
+
)(3x - 2)
Answers
Answer:
-2 and 15x and 5x and 5Step-by-step explanation:
You want the steps involved in factoring 3x² +13x -10 by grouping.
FactorsTo fill in the blanks, you need to know the product of the first and last coefficients, and the factor pairs of that product that have a sum equal to the middle coefficient.
3(-10) = -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)
The sums of these factor pairs are 29, 13, 7, 1. The sum of interest is ...
-2 + 15 = 13
These are the values that go in the first pair of blanks.
= 3x² -2 x + 15 x -10
Factors of pairsWe want to identify the common factor for each pair of terms:
= x (3x -2) + 5 (3x -2)
Factored trinomialFinally, the common factor (3x -2) is removed and we have ...
= ( x + 5 )(3x -2)
PLEASE HELP ME PLS ......
Answers
Answer:
1 = 45
2 = 75
3 = 60
4 = 41
5 = 71
6 = 109
Step-by-step explanation:
This may seem tricky at first, but if you follow the order of the numbers, you can find them fairly quickly using the values already given.
For angle 1:
The angle above it of 45 degrees is similar to angle 1, so that it automatically going to be 45
For angle 2:
The same concept for angle 1 applies for angle 2, so it will be 75 degrees.
For angle 3:
All triangles add up to 180 degrees. So, since we have angles 1, and 2, solve to find 3:
180 - 45 - 75 = 60
For angle 4:
All straight lines add up to 180 degrees. So solve to find angle 4 using the value we found for angle 3:
180 - 60 - 79 = 41
For angle 5:
Angle 5 is part of another triangle and we have two of the angles already. So solve to find angle 5 using the logic used to find angle 3:
180 - 41 - 68 = 71
For angle 6:
angles 5 and 6 are part of a straight line, so use the same logic for angle 4 and solve for angle 6:
180 - 71 = 109