which integer is √45 closest to
Answer:
√45 lies between 6 and 7 .
Step-by-step explanation:
We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .
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Step-by-step explanation:
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Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
On Saturday, Jay went on a trail run. The posted mileage for the trail was 3.8 miles. On Sunday, he ran his usual route
of 4 3/4 miles. How many total miles did Jay run over the weekend?
A 7.5 miles
B 7 3/4 miles
C 8.3 miles
D 8 11/20 miles
Bella purchased 4.2 pounds of apples for $7.77. what is the cost of one pound of apples?
Answer:
Its $1.85 per 1 lb of apples
Step-by-step explanation:
Divide $7.77 by 4.2lb
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Give good evidence to back it up and i will give brainliest. thnx to whoever helps.
Answer:
Step-by-step explanation:
well, every hour she drives, she loses 2 gallons. so when she was 2 hours in, she was at 8 gallons, when she was 1 hour in, she was at 10 gallons, and when she started, she was at 12 gallons.
Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
How many pods of peas are there?
Answer:
There are 38 pods, because 228 divided by 6= 38
Step-by-step explanation:
(number of pods)×(peas per pod)=(total peas)
-6(-2x - 1) + 2
please i need help
Answer:
12x + 8
Step-by-step explanation:
Distribute -6 to the parentheses:
-6(-2x - 1) + 2
12x + 6 + 2
Add like terms:
12x + 8
So, the simplified expression is 12x + 8
-8 + (6/7) plz help i need hlep
Answer:
The answer is -0.14
Answer:
0.14 is correct i looked it up to make sure
Step-by-step explanation:
Whats 3^2 in standard form?
Answer:
9
Step-by-step explanation:
3*3 = 9
if that's what you're asking
Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?
Answer:
18%
Step-by-step explanation:
413-350=63%
(63/350)*100=18%
Harold opened a credit card at a department store with an APR of 14.55% compounded monthly. What is the APY on this credit card?
Answer:
the APY on this credit card is 15.56%
Step-by-step explanation:
The computation of the APY is as followS:
The nominal monthly rate is
= 0.1455 ÷ 12
= 0.012125
Now
real annual rate= [(1 + Nominal monthly rate)^number of months] - 1
= [(1.0.12125^12) - 1]
= 15.56%
Hence, the APY on this credit card is 15.56%
The same is considered by applying the given formula
Algebra
Please help me
Answer:
Step-by-step explanation:
3) slope is rise over run.. look at the graph and count
from the dot rise=4 run=2 4/2 = 2 slope of 3) is 2
4) rise = -3 run =1 slope of 4) is -3
5) rise =1 run =2 slope of 5) is 1/2
6) rise = ∞ run = 0 slope of 6) is undefined
Car A has an initial value of 30,000 and depreciates at a rate of 20% per year. Car B has an initial value of 20,000 and depreciates at a rate of 15% per year.Car B will become greater than the value of car A during the ninth,seventh,third, or fifth year
Answer:
The value of Car B will become greater than the value of car A during the fifth year.
Step-by-step explanation:
Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.
In the attached excel file, the following are used:
Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000
Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000
Annual Depreciation expense of Car B in Year 7 = Beginning value of Car B in Year 7 = 2,000
Conclusion
Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.
It’s the 7th year
Plato
The following are the temperatures in °C for the first 14 days of January:
-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5
What is the median temperature for those 14 days?
Answer:
14.5°C
because -6+-2.5+2+2.5+-0.5+5+10+-3+-7+3+-7+3+-1+7+1=14.5
Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon
Evaluate.
3 1/5 / 5 √-96=
Answer:
((3 1/5)/5) √(-96) =
6.27069374 i
Step-by-step explanation:
Four friends played darts last weekend. The table below shows the number of times that each friend hit the bulls-eye and the total number of darts that each friend threw.
Friend's Name Bulls-eyes Darts Thrown
Austin 9 45
Aaron 8 20
Carey 8 10
Becky 21 35
Who had the greatest ratio of bulls-eyes to darts thrown?
A.
Becky
B.
Aaron
C.
Carey
D.
Austin
Answer:
Becky
Step-by-step explanation:
Look at it.... i mean 21:35 is the greatest in fraction, decimal and percentage.
Answer:
it's answer is C 0.8
hope it helps you
A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?
Answer:
They will Markup the price by $19.76.
Step-by-step explanation:
Markup percent = 38%
Wholesale Price = $52
Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.
so
Markup price = 38% of 52
= 38/100 × 52
= 0.38 × 52
= $19.76
Therefore, they will Markup the price by $19.76.
Find the perimeter of the following shapes 9cm and 4.1?
Answer: a) 26.2 cm
Step-by-step explanation:
Perimeter of rectangle = 2 (l + w)
2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm
Hope this helps!
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
Can someone please help me answer this
Answer:
45/100 and 55/100
Step-by-step explanation:
Simplify the Fraction, if you dont know how just look up fraction simplifier
will mark highest !
Answer:
59 degree
Step-by-step explanation:
Since it is right angle
so 90-31
59 degree
Answer:
59
Step-by-step explanation:
this is a right angle according to the picture so it measures 90 degrees
a=90-31=59degrees
Write a system of inequalities
Please help me with this I’ll mark brainiest
Answer:
44/2 = ?/22
I am so glad I could help!
If you need any more help, make sure to send me a friend request.
Make sure to rate, like and give brainliest so I know how well I did.
-maddy <33
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
A boy at an amusement park has 38 ride tickets. Each ride on the roller coaster costs 5 tickets. After riding the roller coaster as many times as he can,how many tickets will the boy have left?
Answer:
He will expend 35 tickets for 7 rides. 3 tickets are left.
Step-by-step explanation:
Giving the following information:
Number of tickets= 38
Tickets per ride= 5
To calculate the number of rides he can make, we need to use the following formula:
Number of rides= number of tickets / tickets per ride
Number of rides= 38/5
Number of rides= 7.6 = 7 rides
He will expend 35 tickets for 7 rides. 3 tickets are left.
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Tyrone and Neil got in trouble at football practice and have to run laps as a consequence.
Tyrone, who runs at a rate of 2 laps per minute, had completed 4 laps already when he was
joined on the track by Neil. Neil's pace is 6 laps per minute. At some point, the two will have
run the same distance. How many laps will each boy have run? How long will that take?
Tyrone and Neil will each have run
laps in
minutes.