37.5 is 60% of 62.5#
Explanation:
First, let's call the number we are looking for
n
.
"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as
60
100
.
When dealing with percents the word "of" means "times" or "to multiply".
So, putting this all together allows us to write the following equation and solve for
n
while keeping the equation balanced:
60
100
×
n
=
37.5
100
60
×
60
100
×
n
=
100
60
×
37.5
1
×
n
=
3750
60
n
=
62.5
Which equation is equivalent to 2 1/4+2/4=2 3/4?
Answer:
11/4
Step-by-step explanation:
Use substitution to determine if O is a solution of 5x = 5.
HELP!
Answer:
x=1
Step-by-step explanation:
5x1=5
HELP ASAP PLEASEEEE!
Answer:
The answer I think would be 8.
Step-by-step explanation:
The department of natural resources reports that a water supply does not receive a 4-star rating if the fluoride concentration is less than 4%. In this context, what is a Type I error?
Answer:
natural resource department does not receive a 4 star rating
Step-by-step explanation:
The type I error is also known as the 'false positive'.
It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.
A 'false negative' is considered a type II error.
in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.
Please help with this :)
Answer:
15 -2
Step-by-step explanation:
The average of 9 scores is x. If the tenth score is 36 points more than x, by how many points will the tenth score raise the average?
Answer:
3.6
Step-by-step explanation:
The average of 9 scores is x.
average = (sum of scores)/(number of scores)
x = (sum of scores)/9
sum of scores = 9x
The sum of the 9 scores is 9x.
The tenth score is 36 more than x, so it is x + 36.
The sum of the 10 scores is 9x + x + 36 = 10x + 36.
The average of the 10 scores is (10x + 36)/10 = x + 3.6
The difference of averages is
x + 3.6 - x = 3.6
A bank teller had 125 Bills in $10 and $20 bills to start the day. If the total in her register was $1650, how many of each bill did the teller start off with ?
Answer:
40 twenties and 85 tens
Step-by-step explanation:
10x+20y=1650
10x+10y=1250
10y=400
y=40
The Martins' swimming pool is a square
and is in the center of a square plot that
is 34 meters on a side. They have 1,092 square meters of lawn.
How long is one side of the pool ?
Answer: 8
Step-by-step explanation:
x^2 = (34•34)-1,092
x^2= 1,156-1,092
x^2= 64
x=8
Jillene spends $240 on a new business the first month. If she spends 24% more each month, approximately how much will she spend (total sum) in 6 months?
Answer:
Jillene will spend $345.60 in 6 months.
Step-by-step explanation:
To find the answer we will turn 24% into a decimal. 24% ÷ 100 = 0.24. Now multiply 0.24 by $240 and we get $57.60. Because we are trying to find how much Jillene will spend in 6 months, we will multiply $57.60 by 6, which is $345.60. Therefore, $345.60 is our answer.
Answer: $1785.60
Step-by-step explanation:
240 x 6 = 1440
240 x 0.24 = 57.6
57.6 x 6 = 345.6
1440 + 345.6 = 1785.60
Final Answer: $1785.60
Can yall help me with this!!
PLEASE HELP ME !!
If you put $375 into a savings account that pays 6% interest compounded monthly, how much money would you have in your account after 3 years?
How much did you earn in interest?
Answer:
$448.76
$73.76
Step-by-step explanation:
We are to calculate the future value with monthly compounding
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
$375 x ( 1 + 0.06/12)^12 x 3
$375 x (1.005)^36 = $448.76
Interest earned = future value - amount saved
$448.76 - $375 = $73.76
Find the volume of a pyramid with a square base, where the side length of the base is 4.7\text{ in}4.7 in and the height of the pyramid is 4.5\text{ in}4.5 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
33.1in³
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height
Base area = L²
Base area = 4.7²
Base area = 22.09 square inches
Height = 4.5in
Get the volume
Volume of the pyramid = 22.09*4.5/3
Volume of the pyramid = 22.09 * 1.5
Volume of the pyramid = 33.135in³
Hence the volume of the square based pyramid to the nearest tenth of a cubic inch is 33.1in³
Write the exact value of the side length of a square whose are in square units are given. For example, use sqrt(9) to represent the square root of 9. Areas: 36 37 100/9 2/5 0.0001 0.11
Answer:
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
Step-by-step explanation:
To find - Write the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
Proof -
We know that ,
If a is the side length of the square then,
Area of square = a²
Now,
a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get
Side length of the square is 6 units.
b.) 37
⇒a² = 37
⇒a² = [sqrt(37)]²
⇒a = sqrt(37)
∴ we get
Side length of the square is sqrt(37) units.
c.)100/9
⇒a² = 100/9
⇒a² = [10/3]²
⇒a = 10/3
∴ we get
Side length of the square is 10/3 units.
d.)2/5
⇒a² = 2/5
⇒a² = [sqrt(2/5)]²
⇒a = sqrt(2/5)
∴ we get
Side length of the square is sqrt(2/5) units.
e.)0.0001
⇒a² = 0.0001
⇒a² = [0.01]²
⇒a = 0.01
∴ we get
Side length of the square is 0.01 units.
f.)0.11
⇒a² = 0.11
⇒a² = [sqrt(11)/10]²
⇒a = sqrt(11)/10
∴ we get
Side length of the square is sqrt(11)/10 units.
We get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
We have to find the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
We have given that,sqrt(9) to represent the square root of 9.
We know that ,
If a is the side length of the square then,
what area of the square?Area of square = a²
For option a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get side length of the square is 6 units.
For the option b is 37.
⇒a² = 37
⇒[tex]a^2 = \sqrt{37} ^2[/tex]
⇒[tex]a = sqrt(37)[/tex]
∴ we get side length of the square is [tex]\sqrt(37)[/tex] units.
c.)100/9
⇒[tex]a^2 = 100/9[/tex]
⇒[tex]a^2= [10/3]^2[/tex]
⇒[tex]a = 10/3[/tex]
∴ we get side length of the square is 10/3 units.
for the option d.)2/5
[tex]a^2= 2/5[/tex]
[tex]a^2 = [\sqrt(2/5)]^2[/tex]
⇒[tex]a = \sqrt(2/5)[/tex]
∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.
for the option e.)0.0001
[tex]a^2 = 0.0001[/tex]
[tex]a^2 = [0.01]^2[/tex]
[tex]a = 0.01[/tex]
∴ we get side length of the square is 0.01 units.
For option f.)0.11
⇒[tex]a^2 = 0.11[/tex]
⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]
[tex]a = \sqrt(11)/10[/tex]
∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.
Therefore we get,we get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
To learn more about the area visit:
https://brainly.com/question/25292087
Simplify the following expression:
x(x+2) - x(x+3)
Answer:
-x
Step-by-step explanation:
Write the equation of the line that passes through the points (-1, -2) and (5, -4).
Answer:
y = -1/3x - 7/3
Step-by-step explanation:
To find the slope, you have to plug the values into the slope formula.
y2 - y1/ x2 - x1
-4 - (-2) / 5 - (-1)
-1/3
Now to find the y-intercept, plug in one of the coordinates into the equation.
y = -1/3x + b
-2 = -1/3(-1) +b
-2 = 1/3 + b
-7/3 = b
The equation is y = -1/3x - 7/3.
The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.
As per given problem, M is Slope
M = (Y2 - Y1) / (X2 - X1)
M = (- 4 - (- 2)) / ( 5 - (- 1))
M = - (1 / 3)
Now, Line becomes
- 2 = - ( 1 / 3) x (- 1)+ C
- 2 = 1 / 3 + C
C = - (7 / 3)
So, Solution: Y = - (1 / 3)X - (7 / 3)
To know more about Straight Line Problems, refer to the below link
brainly.com/question/1617520
pythagorean theorem
Pythagorean Theorem
Step-by-step explanation:
a squared time b squared plus c squared I think
Answer:
3ft
Step-by-step explanation:
c^2 = a^2 + b^2 so, we have c = 5ft, and lets call this one a = 4ft
so: x^2 = 5^2 - 4^2 => x = sqrt(25 - 16) => x = 3ft
Below are two parallel lines with a third line intersecting them.
X = ?
which are the complementary angles?
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
please amrk this answer as brainliest
SOMEONE PLEASEEEE HELPPPP
Answer:
The triangles are not similar
Step-by-step explanation:
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
PLEASE HELP!!!!
Quadrilateral ABCD is similar to quadrilateral EFGH. What is the value for x, the length
of side CD?
A-10
B-16
C-14
D-18
Answer:
D 18
Step-by-step explanation:
Please answer ASAP I NEED HELP
Answer:
450 cm^3
Step-by-step explanation:
( 1/2 (5+7.5) 6 ) 12
need help with this problem
Answer:
it's either b or d.
Step-by-step explanation:
I'm not entirely sure, but its one of those.
Abigail is 54. Inches tall which of the following is Abigail height
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
Answer:
x = -2Step-by-step explanation:
[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex][tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]2ˣ = t4t² + 3t - 1 = 04t² + 4t - t - 1 = 04t(t + 1) - (t + 1) = 0(t + 1)(4t - 1) = 0t = -1 (discounted as 2ˣ can't be negative)t = 1/42ˣ = 1/42ˣ = 2⁻²x = -2The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.
Answer: [tex]y=-\frac{3}{2}x+12[/tex]
Step-by-step explanation:
To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.
[tex]3x+2y=10[/tex] [subtract both sides by 3x]
[tex]2y=10-3x[/tex] [divide both sides by 2]
[tex]y=5-\frac{3}{2}x[/tex]
With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.
[tex]y=-\frac{3}{2}x+b[/tex] [plug in (4,6)]
[tex]6=-\frac{3}{2}(4)+b[/tex] [multiply]
[tex]6=-6+b[/tex] [add both sides by 6]
[tex]b=12[/tex]
With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].
Find m angle ADB !!!!!
Answer:
[tex]<ADB=9[/tex]×[tex]5+4[/tex][tex]=49[/tex]
Step-by-step explanation:
[tex]<(13x-16)=<(9n+4)\\\\13x-9x=4+16\\\\4x=20\\\\x=\frac{20}{4} \\\\x=5\\\\<ADB=9*5+4=49[/tex]
hope it helps....
certain plant grows 1 3 4 inches every week. How long will it take the plant to grow 6 1 4 inches? How long will it take the plant to grow 6 1 4 inches?
Answer:
it will take around 4.5 weeks
Step-by-step explanation:
614 divided by 134 will give you 4.582
Answer:
4.6 weeks
Step-by-step explanation:
In the question, it stated that the plant grows at the rate of 134 inches per week. And we can get the proportion:
[tex]\frac{1 week}{134 inches}[/tex]
Now, if you want to get the number of weeks it takes to grow 614 inches, set up the proportion
[tex]\frac{x }{614 inches}[/tex]
with x representing the number of weeks we are trying to find.
Since the two fractions are proprtional - we assume that the plant will always grow at the same rate, then we can state:
[tex]\frac{x }{614 inches}[/tex] = [tex]\frac{1 week}{134 inches}[/tex]
Now, cross multiply and simplify:
134x = 614
x = 614/134
x = 4.6 (Weeks)
Sandra has a 1/3 chance of making the team. What is the probability that Sandra will not make the team?
please help!
Answer:
2/3 is the probability that Sandra will not make the team.
Hope it helps!!!
Answer:
2/3
Step-by-step explanation:
If something will happen with 100% certainty, then the probability is 1 or 100%.
If she has a 1/3 chance of making the team, the the chance of not making the team is 1 - 1/3 which equals 2/3.
Answer: 2/3
Write an equation for the line in slope-intercept form.
Answer:
y= 6/5x +0
Step-by-step explanation:
That just be how it is
Answer: y= 3/2 x
Step-by-step explanation:
use y = mx + b
