Answer:
y=2x+7
Step-by-step explanation:
your making y the subject
put 2x over the other side of the equal sign
then change it from a negative to a positive
What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?
Answer:
Step-by-step explanation:
Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and
6,which is 12.
3*3/4*3=9/12
5*2/6*2=10/12
Step 2:Subtract 9/12 from 10/12,which is 1/12.
Which rule explains why these triangles are
congruent?
U
T
V
W
AAS
ASA
SAS
SSS
These triangles
cannot be proven
congruent.
These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
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Suppose the derivative of a function is ′()=(−7)^7(−2)^2(+13)^10. Then the function is increasing on the interval _____.
Need help With This anyone please help am confused on this one very much
Step-by-step explanation:
(2×8² - 2²×8)/(2×8)
before we start typing things into the calculator, we see that the fraction can be simplified :
(2×8² - 2²×8)/(2×8) | divide top and bottom by 2
(8² - 2×8)/8 | divide top and bottom by 8
(8 - 2)/1 = 6/1 = 6
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.
Answer:
a.4 people share 1/5 of a pie
Step-by-step explanation:
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answer: 68y+106=36-y
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
Calculate the perimeter of this shape.
Answer: 52.8 m
Step-by-step explanation:
What you want to try to do when you come across these shapes is to think about it as two different shapes instead of one. The bigger rectangle should have a perimeter of 31 (12.3+12.3+3.2+3.2). Now for the bottom rectangle, you have to solve for one of the side lengths. Subtract 3.2 from 8.6 (as 3.2 is already being used by the top rectangle's perimeter) to get 5.4. The perimeter of the smaller rectangle should be 21.8 (5.5+5.5+5.4+5.4). Now add 31+21.8 to get 52.8 and that should be the total perimeter of your shape. :)
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsJoe Wong, owner of Cookie Palace, is discussing with his accountant which method of depreciation would be best for his new delivery truck. The cost of the truck is $20,000 with an estimated life of four years. The residual value of the truck is $2,500. Calculate depreciation expenses for each year. (Enter your answers as a whole dollar amount.)
The depreciation expense for each year to the new delivery truck purchased by Cookie Palace would be $4, 375.
How to find depreciation?When given the residual value, depreciation can be found using the straight - line method which has the formula:
= (Cost of delivery truck - residual value) / Number of years in estimated life
Solving for the depreciation expenses each year gives:
= (20, 000 - 2, 500) / 4
= 17, 500 / 4
= $4, 375
In conclusion, the depreciation to the delivery truck every year would be $4, 375.
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Can someone please give me the answer?
Answer:
the correct answer is C
-----------------------------------
Answer:
The III
Step-by-step explanation:
go right three times and down four times
A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 12 2/3 yards and a double window requires 17 5/6 yards of fabric. If there are two single windows and one double window, how much fabric is required?
Answer:
\(43\frac{1}{6} \:yards\)
Step-by-step explanation:
GIVEN :-
Amount of fabric required for :-
a single window = \(12\frac{2}{3} = \frac{38}{3} \:yards\)a double window = \(17\frac{5}{6} = \frac{107}{6} \: yards\)TO FIND :-
Amount of fabric required for two single windows and one double windows.
SOLUTION :-
Amount of fabric required for two single windows = \(2(\frac{38}{3} ) = \frac{76}{3} \:yards\)
Amount of fabric required for 2 single & 1 double window = \(\frac{76}{3} + \frac{107}{6}\)
= \(\frac{152+107}{6}\)
= \(\frac{259}{6}\)
= \(43\frac{1}{6} \:yards\)
2/3 of a hippos life is spent underwater, the rest of their life out of water is separated into grazing, sleeping and socialising in the ratio 4:7:1. The average life of a hippo is 45 years, how long will it spend doing each of these activities?
Answer:
Under water is 2/3×45= 30yrs
So rest is 1/3
1/3 is divide in 12 parts
1/3÷12=1/36
Grazing is 4/36×45= 5yrs
Sleeping is 7/36×45=8.75yrs
Socialising is 1/36×45=1.25yrs
Which operation would help solve for y?
3+y = 27
Choose 1 answer:
Adding three to each side
Subtracting three from each side
X
Adding 27 to each side
Subtracting 27 from each side
How to find the correct operation to each side, what is y? Y=
Answer: Subtract 3 from each side
Step-by-step explanation:
The goal of the problem is to isolate 3 on one side by itself. The only thing standing in our way is that pesky three. In order to get rid of it, and make y have the whole left side to themselves, we have to see what is three doing in the equation. Well, it is a positive three and it is being added to y. So, we want to do the opposite of what it is. Since it is a positive three, we are going to subtract three on both sides. It will zero itself out on the left side and move on over to the right side, giving y the entire left side of the equation.
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
(2x + 3)(x - 1) = 0
x = (-b ± √(b^2 - 4ac))/ 2a, where a = 2, b = 12, and c = -3.
2x^2 + 12x = 3
(6/2)^2 = 9
2x^2 + 12x + 9 - 9 = 3 - 9
factor out the 2x^2 + 12x + 9 = 0
Please awnser asap I will brainlist
The members of the given set in this problem are given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
How to obtain the union and intersection set of two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The intersection of the sets Y and Z for this problem is given as follows:
Y ∩ Z = {0, 6, 23, 26}
(which are the elements that belong to both of the sets).
The union of the above set with the set X is given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
(elements that belong to at least one of the sets).
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The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0, 9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
O The maximum number of solutions is one.
O The maximum number of solutions is three.
O The circle has a radius equal to 3.
The circle has a radius less than 9.
As a result, there must be an x value such that the inequality is no longer true, and the parabola and the circle must intersect as a result.
The circle is centered at the origin on a coordinate grid, and the vertex of an upward-opening parabola is located at (0, 9). If the circle has a radius less than 9, the parabola and the circle must intersect.Let's suppose that the upward-opening parabola is y = ax² + 9. Since its vertex is (0, 9), this implies that a > 0, and therefore the parabola opens upwards. Since the circle is centered at the origin and has a radius less than 9, its equation is x² + y² < 81.We can substitute y with ax² + 9 in the inequality x² + y² < 81 and obtain:x² + (ax² + 9)² < 81This simplifies to:(a² + 1) x^4 + 18a² x² + 64 < 0Since the left-hand side of the inequality must be less than zero, it must be negative. Since x² is always non-negative, it follows that a² + 1 > 0. Thus, (a² + 1) x^4 + 18a² x² + 64 < 0 cannot be true for all x
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what is the result of the following division 2x3 3x 5 x 3
63:
2x3=6
3x5=15
6+15=21
x 3 =…
63
Step-by-step explanation:
Which graph represents function g if g(x)=f(2x)
The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function f(x) shown in the coordinate plane.
The function g(x) = f(2x)
As we can see in the new function g(x) it is the transformation of the f(x).
Transformation is applied as below:
x → 2x (x is replaced by the twice of it)
= f(x)
= f(2x)
= g(x)
When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.
Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
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What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?
28 m3
38 m3
44 m3
48 m3
Answer:
48m
Step-by-step explanation:
Formula: lwh
4*2*6=48m
Answer:
48
Step-by-step explanation:
Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.
The true statements are,
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
What are irrational numbers?Irrational number are real numbers that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.Now we have,
→π is irrational because π is a repeating decimal.
Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
Hence π is irrational.
⇒This statement is true.
→√7 is irrational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→7.1234… is irrational because it is a non terminating, non repeating decimal.
Since,the value of decimal in 7.1234… goes on forever and repeating.
Therefore,7.1234… is irrational.
⇒This statement is true.
→√7 is rational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→π is irrational because π is not a repeating decimal.
π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
⇒This statement is false.
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Solve the equation and check.
- 14 = x + 14
The answer will be -28. Hope it helps
Answer:
The value of x = -28
Step-by-step explanation:
=> - 14 = x + 14
=> -14 -14 = x
=> -28 = x
Find the reference angle
The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12
Finding the reference anglesFrom the question, we have the following parameters that can be used in our computation:
Angle = -320
The reference angle is caculated as
Reference = 360 + Angle
So, we have
Reference = 360 - 320
Evaluate
Reference = 40
For the other angle, we have
θ = 19π/12
The above angle is in the fourth quadrant
So, we subtract it from 2π to calculate the reference angle
Using the above as a guide, we have the following:
Reference angle = 2π - 19π/12
Evaluate the difference
Reference angle = 5π/12
Hence, the reference angle is 5π/12
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4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
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