Answers
See explanation below
Explanation:\(3(x\text{ - 4) -2(x - 3) = 6x - (-2 - x)}\)\(\begin{gathered} Distributive\text{ property:} \\ 3x\text{ - 12 - 2x + 6 = 6x + 2 + x} \end{gathered}\)\(\begin{gathered} \text{cummulative and associative properties of addition:} \\ 3x\text{ -2x - 12 +6 = 6x + x + 2} \end{gathered}\)\(\begin{gathered} \text{simplify:} \\ 1x\text{ - 6 = 7x + 2} \end{gathered}\)\(\begin{gathered} additive\text{ inverse:} \\ 1x\text{ - 7x - 6 = 7x }-\text{ 7x + 2} \end{gathered}\)\(\begin{gathered} \text{simplify:} \\ -6x\text{ - 6 = 0x + 2} \\ \text{calculation:} \\ -6x\text{ - 6 = 2} \\ \end{gathered}\)\(\begin{gathered} additive\text{ property:} \\ -6x\text{ - 6 + 6 = 2 + 6} \end{gathered}\)\(\begin{gathered} calculation\colon \\ -6x\text{ + 0 = 8} \\ -6x\text{ = 8} \end{gathered}\)\(\begin{gathered} \text{division property of }equality \\ \frac{-6x}{-6}=\frac{8}{-6}\text{ } \end{gathered}\)\(\begin{gathered} \text{calculation:} \\ x\text{ =}\frac{-4}{3\text{ }} \end{gathered}\)
Related Questions
when A complete 1/3 part of any work B can complete 1/4 part of that same work. Similarly when B complete 1/5 part of that work C can complete 1/2 part of that same work. if A can complete that work in 20 hours, then in how many hours can C complete that work.
Answers
Answer:
10.672hrs ( maybe)
Step-by-step explanation:
A can complete the work in 20 hrs then 1/3 part can be completed in 20*1/3=6.67hrs
B can complete the 1/4 part of the work in same time then B can complete hole work in 6.67*4=26.68 hrs
B can complete the 1/5 part of work in 26.67/5=5.336hrs
according to question C can complete 1/2part of work in same time then the whole work can complete in
2*5.336=10.672hrs
this research seeks to identify, describe and produce an analysis of the factors that influence the learning choices of first- year undergraduate students who intend to go on to postgraduate study when they graduate, and develop associated theory.
Answers
The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.
What is factor?Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.
The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.
The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.
In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.
Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.
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What is the value of y= 3x + 5 when x = -4?
Answers
Answer:
y=-7
Step-by-step explanation:
y=3(-4)+5
y=-12+5
y=-7
Answer to this question prove by induction
Answers
Answer:
solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)
Step-by-step explanation:
This is a geometric series. Common ratio is 4.What is the solution to the equation? 14g = 154
A. 5
B. 11
C. 140
D. 2,156
Answers
Answer:
11
Step-by-step explanation:
14/14=154/14
g=11
Answer:
B. 11
Step-by-step explanation:
14g = 154
[given]
14g ÷ 14 = 154 ÷ 14
[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]
g = 154 ÷ 14
[division property, how many times does 14 fit in 154?]
g = 11
________
11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.
g = 11 → 14g = 154
14(11) = 154
154 = 154 ✓
Need help please i am confused
Answers
a) The color that was chosen by approximately one third of the customers is; Black
b) The Percentage that chose white or blue is; 40%
c) If the percentage that chose grey is 15%, then the percentage that chose others = 5%
How to interpret Pie chart?
A Pie Chart is defined as a type of graph that usually displays data in a circular graph. The pieces of the graph are termed as proportional to the fraction of the whole in each category. This means that each slice of the pie is relative to the size of that category in the group as a whole.
Now, from the given pie chart we see that, we have the categories black, grey, blue, pink, white, others.
a) From the pie chart, we see that the color that has the largest pie is black and by careful inspection it is about a third of the whole pie.
b) From the pie chart, we see that white pie looks slightly less than 25% which could be probably 22% while the blue part is approximately 18% and as such;
Percentage that chose white or blue = 24% + 16% = 40%
c) If the percentage that chose grey is 15%, then we can say that;
Percentage that chose pink will be approximately 8%.
Thus, percentage that chose others = 100% - (40% + 15% + 8% + 33%)
= 4%
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5, 3.1.24
f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]
Answers
Given that \(f(x) = 3x^2 + 5\), we have
\(f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32\)
so that
\(f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}\)
What line if any are parallel
Answers
Answer:
Is there like a graph or something?
But I don't think any of them are parallel
What is the perimeter of a rectangle whose short sides are4 and long sides are3?
Answers
Answer:
Permimeter=14
Step-by-step explanation:
4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.
PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Answers
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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-4(-8x -8)
Simplify expression
Answers
32x-32
Find the Volume.*
Of a 3x3 cube
Answers
Answer:
either 9 or 27
Step-by-step explanation:
most likely 27 because 3x3x3
Answer:
Cube number of 3 is 27
Step-by-step explanation:
cube of 3 is like 3×3×3 =27
A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. How much does each earn per hour?
Answers
Answer:
Step-by-step explanation:
m= the amount of money the mechanic makes.
h= the amount of money the helper makes.
m=h+5
m+h=114
h+5+h=114
2h+5=114
h=54.50
m=59.5
Helper makes $9 an hour.
Mechanic makes $9.92 an hour.
The earning of helper each earn per hour is 7$ /hr.
To find earning of helper per hour.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.
Given that:
let the cost /per hour of helper be x
and that of the mechanic is x+5
now for 6 hour job total earning is
6(x+x+5) = 114
=> 2x+5 = 19
so, 2x = 14 or x = 7
the earning of helper is = 7$ /hr
and earning of mechanic is = 12$/hr
So, the earning of helper each earn per hour is 7$ /hr.
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If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).2(n-4)4- 2n-2n - 42n + 4
Answers
The question provides two functions:
\(\begin{gathered} f(n)=4n+7 \\ g(n)=2n+3 \end{gathered}\)We are then told to find (g - f)(n).
Using the Operation of functions we can solve this problem.
\((g-f)(n)=g(n)-f(n)\)Since we know what g(n) and f(n) are, we can find (g - f)(n).
This is done below:
\(\begin{gathered} (g-f)(n)=g(n)-f(n) \\ g(n)=2n+3 \\ f(n)=4n+7 \\ \\ \therefore(g-f)(n)=g(n)-f(n)=(2n+3)-(4n+7) \\ (g-f)(n)=2n+3-4n-7 \\ \\ \text{Collect like terms} \\ \\ (g-f)(n)=2n-4n-7+3 \\ \therefore(g-f)(n)=-2n-4 \\ \\ \end{gathered}\)Therefore, the final answer is:
-2n - 4
which is a correct first step in solving the inequality-4(2x-1)>5-3x
Answers
Step-by-step explanation:
-8x + 4 > 5 - 3x
-8x + 3x > 5 - 4
-5x > 1
x > 1 / - 5
Tom owns two coin-laundry stores. The first store has between 89 and 122 loadsof laundry done on Thursday and between 119 and 153 loads of laundry onFriday. The second store has between 156 and 209 loads of laundry done onThursday and between 198 and 234 loads on Friday.If k represents the loads of laundry done, what inequality would represent thepossible range of the total number of laundry loads done at both stores on Thursdayand Friday?A/loads of laundry
Answers
Let T(1) and T(2) denote the load on the first and second store, respectively, on Thursday. While F(1) and F(2) denote the load on the first and second store, respectively, on Friday.
Given that load was between 89 and 122 on the first store on Thursday,
\(89\leq T(1)\leq122\ldots\ldots\ldots(1)\)The load was between 119 and 153 on the first store on Friday,
\(119\leq F(1)\leq153\ldots\ldots\ldots(2)\)The load was between 156 and 209 on the second store on Thursday,
\(156\leq T(2)\leq209\ldots\ldots\ldots(3)\)The load was between 198 and 234 on the second store on Friday,
\(198\leq F(2)\leq234\ldots\ldots\ldots(4)\)Now, we need to find the total number of laundry loads (k) on the two stores for Thursday and Friday combined,
\(k=T(1)+F(1)+T(2)+F(2)\)This can be obtained by adding the inequalities.
Consider that the inequalities having the same direction can be added directly. Since the inequalities (1), (2), (3), and (4) possess the same direction, they can also be added directly, and the resulting inequality becomes,
\(\begin{gathered} (89+119+156+198)\leq T(1)+F(1)+T(2)+F(2)\leq(122+153+209+234) \\ 562\leq k\leq718 \end{gathered}\)Thus, the required inequality for the total number of launYou're welcomdry loads done at both stores on Thursday and Friday is obtained as,
\(562\leq k\leq718\)Find the area of these triangles please! Greatly appreciated if you do.
Answers
Answer:
11. 35 ft²
12. 24 cm²
13. 18 ft²
14. 28 in²
15. 9 in²
Step-by-step explanation:
11. A= (b×h)÷2
= (10×7)÷2
= 70 ÷ 2
= 35 ft²
12. A= (b×h)÷2
= (8×6)÷2
= 48 ÷ 2
= 24 cm²
13. A=(b×h)÷2
=(9×4)÷2
= 36 ÷ 2
= 18 ft²
14. A=(b×h)÷2
=(7×8)÷2
= 56 ÷ 2
= 28 in²
15. A=(b×h)÷2
=(3×6)÷2
= 18 ÷ 2
= 9 in²
Good luck ^_^
Hope this answer your question
I need help pleaseeee
Answers
Answer:
$110.46
Step-by-step explanation:
1 bath towel is $15.78 we need 7. So the equation is 15.78 x 7 = 110.76.
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of the time, t, the rock is falling. If a rock falls 64 feet in 8 seconds,
Answers
The distance of a rock after three seconds will be 144 feet.
A function is an assertion, concept, or principle that establishes an association between two variables.
Let's use the formula for direct variation, which is:
d = kt²
64 = k(2²)
64 = 4k
k = 16
Now we can use this value of k to find the distance when t = 3:
d = 16 × (3²)
d = 16(9)
d = 144
Therefore, the rock will fall 144 feet in 3 seconds.
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The complete question is given below.
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of time, t, the rock is falling. If a rock falls 64 feet in 2 seconds, how far will it fall in 3 seconds?
help me asap i really need help
Answers
Answer:
x = 72 degrees
Step-by-step explanation:
add the given angles: 77+31 = 108
subtract your answer from 180: 180 - 108 = 72
Answer:
72
Step-by-step explanation:
add 77+33=108
all triangles equal 180, so subtract 180-108=72
Point P is the centroid of LMN. Find PN
Answers
Answer:
PN = 14
QP = 7
Step-by-step explanation:
Extend PQ to R so that QR=PQ
MQ = QL (known, mid-point)
MPLR is parallelogram (diagonal bisect each other)
MP // RL NP/PR = NE/EL = 1/1 (E mid-point, known)
NP = PR
PQ = QR = 1/2 PR = 1/2 NP
NP = 2 PQ
NP + PQ = 2PQ + PQ = 3 PQ = QN = 21
PQ = 7
PN = 14
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answers
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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(2x4−7x3−6x2+23x−12)÷(x−4)
Answers
Answer:
\(\frac{23x-37}{x-4}\)
Step-by-step explanation:
Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.
Answers
Answer:hey besties
Step-by-step explanation:
Pew pew
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
Answers
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answers
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
rlly need help on this who ever answers correctly I'll give BRAINLIEST
Answers
Answer:
the answer is found at option D
what value of X makes the model true?
Answers
The value of x is -1 which makes the model true
The equation from the given model will be 5x+6=1
We have to find the value of x
5x+6=1
Subtract 6 from both sides
5x=-5
Divide both sides by 5
x=-1
Hence, the value of x is -1 which makes the model true
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Express Four-fifths as a percent.
Answers
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $30, and the company charges a $2 fee for shipping the order. However, if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6. Which piecewise function models the cost of x pounds of trout? 30x + 2,0 < x < 10 24x + 6, 2 > 10 B. f(x) = 24x + 6, 0 < x < 10 30x + 2, x > 10 A. f(a) = { f(a) = { C. f(x) = { f(x) = { 24x + 6, 0 < x < 10 30x + 2, x > 10 D. f(x) 30x + 2, 0 < x < 10 24x + 6, x 10 PREVIOUS
Answers
ANSWER:
\(f(x)=\begin{cases}30x+2,0STEP-BY-STEP EXPLANATION:
In this, according to the statement, the value of the order varies if it is less than 10 pounds and if it is 10 or more pounds, we establish the equation for each case, like this
\(\begin{gathered} 0Where x is the number of troutTherefore the function that represents the cost of x pounds of trout would be:
\(f(x)=\begin{cases}30x+2,0Therefore, the correct answer is D.