find the value of a and b if 1/5+√7= a+b√7
Answer:
[tex]a=\dfrac{1}{5}[/tex] and b = 1
Step-by-step explanation:
Given that,
[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]
We need to find the value of a and b.
We should compare both sides of the above equation i.e.
[tex]a=\dfrac{1}{5}[/tex]
and
b = 1
Hence, the values of a and b are 1/5 and 1 respectively.
A rectangle has sides 10 and 8. Find the length of the Diagonal
Answer:
Step-by-step explanation:
Remark
The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.
Givens
a = 10
b = 8
c = ? This is the length of the diagonal.
Solution
a^2 + b^2 = c^2
10^2 + 8^ = c^2
100 + 64 = c^2
c^2 = 164
√c^2 = √164
c = 12.806
A village water tank contained some water. The villagers used 10300 litre of the water in the day. A pump supplied 12,700 of the water in the tank. There was 16500 litre of water left in the tank in the end. How much water was there in the tank at first?
Answer:
13830
Step-by-step explanation:
the amount of water that was left is 16500, so substract it to the added amount of water which is 12700, then add 10300 which is the amount of water that the village consumed. 16500-12700=3800+10300=13830
plssss helppp!!!!!!!!!
Answer:
17. x=25
18. x=72
19. x=151
20. x=28
Step-by-step explanation:
1. There are 4 quarts in 1 gallon. How many quarts are in 4 ½ gallons?
Answer:
18 quarts
Step-by-step explanation:
Someone help me Plz? Will Give Brainliest!!!
Answer:
no
Step-by-step explanation:
An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on half of the participants?
Answer:
[tex]P(x=3) = 0.1318[/tex]
Step-by-step explanation:
The question illustrates a binomial distribution and the given parameters are:
Given
[tex]n = 6[/tex] -- sample size
[tex]p = 0.75[/tex] --- probability of success
[tex]r = 3[/tex] --- half of the participant
Using the binomial probability formula, we have:
[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]
For x = 3, the probability is:
[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]
[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]
[tex]P(x=3) = 0.1318[/tex]
1/8 the sum of 23 and 17
Answer:
5 is the right answer.......
1/8 (23+17) =5
Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
Answer:
57.5
Step-by-step explanation:
Recognize our numbers
3,5,34.50
Three uniform shirts sell for 34.50
34.50/3
=11.5
How much will five cost?
5x11.5
=57.5
Hope this helps!
Answer:
55.25
Step-by-step explanation:
1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.
34.50 / 3 = 11.05
2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.
11.05 * 5 = 55.25
= $55.25p
what are the equal factors to 10 to the second power
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
if x+y=5, then what does y-5 equal?
Answer:
-x
Step-by-step explanation:
rearrange the terms by adding or subtracting the same thing from both sides:
[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]
Write an equivalent expression. 4x - x
Answer:
5x-2x
Step-by-step explanation:
4x-x = 3x
so,
5x-2x = 3x
The equivalent expression would be; 5x-2x
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given that the expression as; 4x - x
We need to find an equivalent expression.
Therefore, solving further;
4x-x = 3x
Thus, we can also create one expression as;
5x-2x = 3x
Learn more about expression here;
https://brainly.com/question/14083225
#SPJ2
Find the values of x, y, and z.
Answer:
x = 20°
y = 160°
z = 160°
Step-by-step explanation:
x = 20°
(Measure of arc is equal to the measure of its corresponding central angle)
z = 180° - 20°
(Linear pair angles)
z = 160°
y = z
(Measure of arc is equal to the measure of its corresponding central angle)
y = 160°
What is the mean absolute deviation of the following set of data?
4
6
6
2.
Answer:
To calculate the mean we need x and f both
Jackson bought snacks for his team's practice. He bought a bag of apples for $2.74
and a 10-pack of juice bottles. The total cost before tax was $26.14. How much was
each bottle of juice?
Answer:
each bottle of juice costs $2.34
Step-by-step explanation:
2.74+10x=26.14
10x=26.14-2.74
10x=23.40
x=23.40/10
x=2.34
Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
Answer:
-5x^6 - 2x^5 + 4x^2 + 3x + 3
Step-by-step explanation:
Combine like terms from each of the polynomials.
(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)
(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)
Then, order them by degree.
-5x^6 -2x^5 + 4x^2 + 3x + 3
4y=5x-1 3x-2y=1 solve each system using substitution
Answer:
(1,1)
x=1 y=1
Step-by-step explanation:
When you solve by substitution, you have to isolate each equation Hope this helps.
please help me the first person gets the brainiest
One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.
Sujan bought 16 pens for Rs256. how much would he have to pay for one pen he buys next time?
Step-by-step explanation:
.......................
Answer:
Rs 16
Step-by-step explanation:
Amount of money paid for 16 pens = Rs 256
Amount of money paid for 1 pen =
[tex] \frac{256}{16} = \frac{128}{8} \\ = \frac{64}{4} = \frac{32}{2} \\ = \frac{16}{1} \\ [/tex]
Therefore, amount paid for one pen is Rs 16
Find the circumference of the circle below. Use 3.14 pi. Round your answer to the nearest tenth.
12.1
12.6
25.1
50.2
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
Step-by-step explanation:
radius = 4 inches π = 3.14circumference = 2π × radius = 2 × 3.14 × 4 = 25.1 inches _________________________FOLLOW MEAnswer:25.1
Step-by-step explanation:
2ײ+5y-18 if x is 5 and y is 2
the answer is 659 because if x = 5 that means 25x25 = 625
and if y = 2 then 625 + 52 = 677
and then 677-18 = 659
Problem solved
There are 5,000 books in the town's library. Of these,4,400 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent. Setup the percent equation. Choose the correct answer below. A. m B. m C. m Your answer is not correct.D. m This is the correct answer. nothing% of the books are fiction
Answer:
4,400=m•5,000 and 88%
Which expression is equal to 6/7?
Choose 1 answer:
(Choice A) 6+7
(Choice B) 6×7
(Choice C) 6÷7
(Choice D) 6-7
which set of number are right for this inequality x<14 plz help me i need help due in 20 min
A. 3,7,9,10,12
B. 15, 18 ,20, 21, 23
C. 17, 21, 24, 25, 31
D. 23, 27, 29, 30, 36
Answer:
it's A because all of those numbers are less than 14
Step-by-step explanation:
Today is the birthday of Rahul and he is 3 times
as old as Nirmala. In 13 years, Rahul will be one
year less than twice as old as Nirmala will be
then. The age of Rahul today is:
a. 30 years
c. 49 years
b. 36 years
d. 30 years
Answer:
b. 36 years
Step-by-step explanation:
Today
Nirmala = x years
Rahul = 3x years
In 13 years
Nirmala = 3x + 13 years
Rahul = 2(x+13) - 1
3x + 13 = 2(x+13) - 1
3x + 13 = 2x + 26 - 1
3x + 13 = 2x + 25
3x - 2x = 25 - 13
x = 12
Nirmala = x years
= 12 years
Rahul = 3x years
= 3(12)
= 36 years
The age of Rahul today is 36 years
You observe a plane approaching overhead and assume that its speed is 500 miles per hour. The angle of elevation of the plane is 18° at one time and 57° one minute later. Approximate the altitude of the plane.
Answer:
Step-by-step explanation:
3 219494
The seat of a bench is in the shape of a trapezoid with bases of 6 feet and 3 feet and a
height of 1.5 feet. What is the area of the seat?
The area of the seat is
ft.
Answer:
6.75 ft^2
Step-by-step explanation:
The area of the seat can be calculated as follows
a + b/2 × h
6+3/2 × 1.5
9/2 × 1.5
4.5× 1.5
= 6.75 ft^2
Hence the area of the seat is 6.75ft^2
if Rohans weight is t+6 kg and is 7 kg less than Rahul whose weight is 54 kg. What is the value of t
Answer:
T = 41
Step-by-step explanation:
Rohan's weight = t+6
Rahul's Weight = t+6+7 = 54
t = 54 - 6 - 7
t = 41
Which ordered pair is a solution of the equation: y = x + 3 a) (-2,5) b) (3,0) c) (8, 11)
Answer:
C) (8, 11)
Step-by-step explanation:
8+3=11.
A person who weighs 65 pounds on earth will weigh 169 pounds on the planet Jupiter. How much will a person weigh on Jupiter who weighs 45 pounds on earth?
ANSWER ASAP
Answer:
117
Step-by-step explanation:
science
Answer:
117 pounds
Step-by-step explanation:169 pounds divided by 65 pounds is 2.6
So that means that we would need to multiply 45 by 2.6. So 45 multiplied by 2.6 is 117 pounds.