Connect the problems that have the same answer. a. 36·4+36·9 1. (8+2)·19 b. 17·(18−15) 2. 11·(14+6) c. 8·19+2·19 3. 17·18−17·15 d. (26−18)·6 4. 36·(4+9) e. 11·14+11·6 5. 26·6−18·6
Answer:
The problems with same answers are:
(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).
Step-by-step explanation:
The two sets of problem are as follows:
Set 1 Set 2
a. 36·4+36·9 1. (8+2)·19
b. 17·(18−15) 2. 11·(14+6)
c. 8·19+2·19 3. 17·18−17·15
d. (26−18)·6 4. 36·(4+9)
e. 11·14+11·6 5. 26·6−18·6
The matched pairs are as follows:
a. 36·4+36·9 = 36·(4 + 9) → 4. 36·(4+9)
b.17·(18−15) = 17·18−17·15 → 3. 17·18−17·15
c. 8·19+2·19 = (8 + 2)·19 → 1. (8+2)·19
d. (26−18)·6 = 26·6−18·6 → 5. 26·6−18·6
e. 11·14+11·6 = 11·(14+6) → 2. 11·(14+6)
Thus, the problems with same answers are:
(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).
A group of students takes a test and the average score is 72. One more student takes the test and receives a score of 88 increasing the average score of the group to 76. How many students were in the initial group
Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
1. Find 3 prime factorization of the number 68.
Answer:
17, 2, 2
Reasoning/Work:
68 divided by 2 is 34.2 is prime, so you leave it alone.34 divided by 2 is 17.2 and 17 are prime, so you leave them alone.There is nothing left to divide, so you have your 3 prime numbers: 2, 2, 17.PLEASE HELP ME I BEG
Answer:
12
25
Step-by-step explanation:
a) digits and letters can be repeated b) digits and letters cannot be repeated Question: 2 letters followed by 6 digits a. a) 67,600.000 b) 78,936,000 b. a) 676,000,000 b) 98,280,000 c. a) 98,280,000 b) 676,000,000 d. a) 78,936,000 b) 67,600,000
Answer:
b.
(a) 676,000,000
(b) 98,280,000.
Step-by-step explanation:
If no repetition the number of possible outcomes is:
26P2 * 10P6
= 650 * 151200
= 98,280,000.
If repetitions are allowed it is:
(650 + 26) * 10^6
= 676 * 1,000,000
= 676,000,000.
How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
Answer: A there are equivalent.
Step-by-step explanation:
f(x) = [tex]\sqrt{16}^x[/tex] reduces to f(x)=[tex]4^{x}[/tex]
g(x)= [tex]\sqrt[3]{64}^{x}[/tex] also reduces to g(x) = [tex]4^{x}[/tex]
The function g(x) equal to f(x).
What is the exponent?A quantity representing the exponent to which a given number or letter is to be raised is usually expressed as a raised symbol beside the number or letter. It is expressed as aˣ is a variable and a is constant.
Given are two functions, f(x) = √16ˣ and g(x) = ∛64ˣ,
We need to find the relation between the function,
So,
√16 = 4
∛64 = 4
Functions can be written as, f(x) = 4ˣ and g(x) = 4ˣ,
It is clear that g(x) equal to f(x) because g(x) is having power equal than f(x).
Thus, It is clear that g(x) is equal to f(x).
More about the exponent link is given below.
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Solve this problem T=u+v/2 solve for u
Answer:
u = 2T - v[tex]T = \frac{u + v}{2} [/tex]
Cross multiply
We have
2T = u + v
u + v = 2T
Move v to the right side of the equation to make u stand alone
We have the final answer as
u = 2T - vHope this helps you
Can someone plz help me Solve this Equation Solve for X
Answer:
x = 4
Step-by-step explanation:
If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)
=> 6x+36 = 5x + 15 +25
=> x = 40-36
=> x = 4
I hope it's the right answer.
Answer:
x = 4
Step-by-step explanation:
Given 2 secants drawn to a circle from an external point, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
6(6 + x) = 5(5 + x + 3), that is
36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )
36 + x = 40 ( subtract 36 from both sides )
x = 4
i need this answer rn A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 5 inches long, and the height of the equilateral triangle is 4.3 inches. The pyramid's slant height is 5 inches. What is its surface area?
Answer:
48.25 in^2.
Step-by-step explanation:
Surface area of the base
= 1/2 & base * height
= 1/2 * 4.3 * 5
= 10.75 in^2.
Area of each triangular side
= 1/2 * 5 * 5
= 12.5 in^2.
So total surface area
= 10.75 + 3 * 12.5
= 48.25 in^2.
Tournament scores for 92 golfers are distributed normally. Two
statistics from this tournament are given below.
mean score 74
standard deviation 2.5
What is the approximate percentage of golfers that scored
between 69 and 79?
A. 27%
B. 68%
C. 74%
D. 95%
Answer: D. 95%
Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.
In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.
Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?
Answer:
He could put the first card he removed into his pocket
Step-by-step explanation:
With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.
Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.
Keeping the card out of the deck can be done to ensure that the events are dependent.
What is Probability ?Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.
It is given in the question that he would have to keep the first card out of the deck before removing the second card.
Two events are dependent if the probability of one event changes based on the result of the other.
To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.
Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.
This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.
Therefore keeping the card out of the deck can be done to ensure that the events are dependent.
To know more about Probability
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The cost of a trip is $3.15 plus $0.95 for every kilometre that you ride on a bus. Which of the following expressions gives the cost of a trip of k kilometres?
Answer: 0.95k + 3.15
Step-by-step explanation:
0.95k is because each of k kilometers costs $0.95. + 3.15 is because it costs 3.15 as a flat rate regardless of distance
Hope it helps <3
Answer:
.95k+3.15
Step-by-step explanation:
To write an expression you need a variable (k). I look at the directions and I see that the length of the trip is 'k' kilometers. So I pay the flat fee of 3.15 ONE TIME. Then I pay $0.95 for every kilometer I go, so the expression is
-> .95k+3.15
find the exact length of the third side
Answer:
8
Step-by-step explanation:
We will the pythagorian theorem :
let x be the third side x²+6²= 10²x²= 100-36 x=[tex]\sqrt{64}[/tex] x=8Answer:
b=8
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle:
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a=6 and b = 10
6^2 + b ^2 = 10^2
36+ b^2 = 100
b^2 = 100-36
b^2 = 64
Taking the square root of each side
sqrt(b^2) = sqrt(64)
b = 8
At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210210210 oranges for a total harvest of 417904179041790 oranges. Write an equation to determine the initial number of orange trees (t)(t)(, t, )on MacDonald's farm. Find the initial number of orange trees on MacDonald's farm. orange trees
Answer:
Initial number of trees (t)=204
Step-by-step explanation:
t = initial number of trees
Subtract 5 trees from the initial number of trees
we have,
t-5
each remaining tree made 210 oranges for a total of 41,790 oranges
We have,
(t-5) * 210=41790
Solve the equation
(t-5) * 210=41790
Open the bracket
210t-1050=41790
210t=41790+1050
210t=42840
Divide both sides by 210
210t/210=42840/210
t=204
The initial number of trees on MacDonald farm orange trees (t)=204
If 5 is removed from the initial trees
t-5=204-5
=199 trees
199 trees produce 210 oranges
We have,
199*210=41790 oranges
Answer:
Equation: 210t - 1050 = 41790
204 orange trees
Step-by-step explanation:
answer is from khan academy
pls brainliest :|
(78) The flag of country Perralia has to contain three differently-colored stripes of the same width, all of which must be positioned either vertically or horizontally. If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue, how many different flags can be created
Answer:
120 flags
Step-by-step explanation:
Given that:
The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes
all of which must be positioned either vertically or horizontally = 2
If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number of color n = 5 colors
The objective is to determine how many different flags can be created.
Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.
The same is applicable in this scenario as well.
The number of flags that can be created can be determined by considering the permutation of :
[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]
[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]
[tex]P_r = \dfrac{5!}{(2)!}[/tex]
[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]
[tex]P_r = {5 \times 4 \times 3[/tex]
[tex]P_r = 60[/tex]
However, Since all of the must be positioned either vertically or horizontally = 2
Then the total number pf flags that be created = 2 × 60 = 120 flags
Select the correct answer. What is the simplified form of this expression? (9x2 + 10x + 4) − (9x2 + 5x − 1) A. x2 + 5x + 5 B. x2 + 15x + 3 C. 15x + 3 D. 5x + 5
Answer:
D. 5x + 5
Step-by-step explanation:
(9x2 + 10x + 4) − (9x2 + 5x − 1) =
Remove the first set of parentheses since they are unnecessary.
To remove the second set of parentheses, change every sign inside.
= 9x2 + 10x + 4 − 9x2 - 5x + 1
Combine like terms.
= 5x + 5
Answer: D. 5x + 5
The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]
[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]
Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
Learn more about quadratic equations here:
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Which number is greater: 35% or 3.5?
Answer: 3.5
Step-by-step explanation:
The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 15 , P = 2100 . Work out the speed (to 1 DP) when the power is 2200 watts
Answer:
The speed of the car engine is 15.4m/s
Step-by-step explanation:
Given
Power = 2100; when Speed = 15
Required
Find Speed when Power = 2200
The question says power is proportional to square of speed;
Mathematically;
[tex]Power\ \alpha \ Speed^2[/tex]
Represent Power with P and Speed with S
[tex]P\ \alpha \ S^2[/tex]
Convert proportion to an equation
[tex]P\ = \ kS^2[/tex]
Where k is proportionality constant
Make k the subject of formula
[tex]\frac{P}{S^2} = k[/tex]
When P = 2100 and S = 15
[tex]\frac{2100}{15^2} = k[/tex]
When P = 2200 and S is unknown
[tex]\frac{2200}{S^2} = k[/tex]
Recall that [tex]\frac{2100}{15^2} = k[/tex]
So;
[tex]\frac{2200}{S^2} = k[/tex] becomes
[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]
Cross Multiply
[tex]S^2 * 2100 = 2200 * 15^2[/tex]
[tex]S^2 * 2100 = 2200 * 225[/tex]
[tex]S^2 * 2100 = 495000[/tex]
Divide both sides by 2100
[tex]S^2 = \frac{495000}{2100}[/tex]
[tex]S^2 =235.714285714[/tex]
Take Square Roots of both sides
[tex]S = \sqrt{235.714285714}[/tex]
[tex]S =15.3529894716[/tex]
[tex]S = 15.4[/tex] (Approximated)
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
In January, she used 3/5 of the amount of oil that she used in February.
Fill in the amount of oil that Jackie used in January in the table below.
Month Liters of oil used
january ?
February 2/3
March 1 1/2
Answer:
In January
she used 3/5 of what she used in February.
In February she used 2/3 litres of oil.
So it is 3/5 of 2/3 to find what amount she used in January.
3/5 × 2/3 = 6/15
If we simplify 6/15 we find 2/5 as our answer.
So our answer is 2/5 litres.
HELPPPP Enter the ratio as a fraction in lowest terms (2 ft to 24 in.)Enter the ratio as a fraction in lowest terms
(27 minutes to 24 minutes) Enter the ratio as a fraction in lowest terms (no decimals).
(8.0 calories to 5.6 calories)
Answer:
I think the answers are 1 to 1 ,9 to 8 , 10 to7
Can someone please help me I really need help please help me thank you
Answer:
97
Step-by-step explanation:
the shape leans a little so it's more than 90
A system of equations is shown on the graph below. How many solutions does this system have?
Answer:
[tex]\boxed{1 \: \: \mathrm{solution}}[/tex]
Step-by-step explanation:
The point where two lines intersect is the solution to the system of equations.
The two lines intersect at (-1, 2).
x = -1
y = 2
y = 2x + 4
y = -x + 1
Plug y as -x+1 in the first equation.
-x + 1 = 2x + 4
-x - 2x = 4 - 1
-3x = 3
x = -1
Plug x as -1 in the second equation.
y = -(-1) + 1
y = 1 + 1
y = 2
Answer:
Hey there!
Only one solution, because they intersect at only one point.
Hope this helps :)
how to do this question plz
question 2
Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
The question i want to know is linked below. Please help :)
Answer:
Hey there!
To solve this problem, we want to find the LCM (least common multiple) of the two numbers.
The numbers are 25 and 30.
25=5x5
30=2x3x5
LCM is 5x5x2x3, or 150.
Thus, in 150 minutes is when the next bus will leave.
150 mins is equal to 2 hours and 30 mins, or 2.5 hours.
8 AM + 2.5 hrs = 10:30 AM.
Thus, the next time the busses leave together would be at 10:30 AM.
Let me know if this helps :)
Please help I will give Brainliest. The pie store is having a 20% off sale on all of the pies if the pie regularly cost 18$ how much would you save with the discount.
Answer: 3.60
Step-by-step explanation:
18 times 020 is 3.60 so ye thats how much you would save
Dos hermanos , Juan de 12 años y Rafael de 15, reciben como herencia de su padre un terreno de cultivo de 36 hectáreas (ha).Si la repartición fue de forma proporcional a sus edades , ¿Cuantas hectáreas le tocará a cada uno?
Answer:
16 hectáreas y 20 hectáreas
Step-by-step explanation:
Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.
Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.
Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5
Primero, sumamos ambos y tenemos 4 + 5 = 9
Entonces; 4/9 * 36 = 16 hectáreas
5/9 * 36 = 20 hectáreas
What is the value of y?
Answer:
C. 55
Step-by-step explanation:
Since all angles in a triangle add up to 180°, we have:
40 + y + y + 30 = 180
2y + 70 = 180
2y = 110
y = 55
Answer:
C. 55º
Step-by-step explanation:
A triangle is 180º.
So, 40+y+30+y = 180º Form an equation to solve it. Then combine like terms
70+2y = 180º Subtract 70 on both sides.
2y = 110º Divide 2 on both sides
y = 55º The answer is 55º
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer would be A. True
Both sides of the opposite sides are equal and has to have 4 sides so a quadrilateral is a parallogram.
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal
= TRUE!
Hope this helps!
By: xBrainly
What is the solution ?
Answer:
C
Step-by-step explanation:
The question i want to know is linked below, please help!!
Answer: 250 metre
Step-by-step explanation:
The radius of the semi circle will be:
Radius r = diameter/ 2
Where diameter = 140
r = 140/2 = 70m
The radius is also equal to the width of the diameter.
Find the quarter of the circumference of a circle.
Circumference of a circle = 2πr
Substitute for r in the formula
Circumference = 2 × 22/7 × 70
Circumference = 44 × 10 = 440 m
Divide the circumference by 4
440/4 = 110 m
The perimeter P of the shaded region will be
P = 110 + 70 + 70
Perimeter = 250 m
Therefore, the perimeter of the shaded region is 250 m