Answer:
25%
Step-by-step explanation:
First convert 3 hours into minutes by multiplying 3 x 60 min/hr. This is 180 minutes. To find the percentage, divide 45 minutes by 180 minutes and then multiply by 100.
45/180=0.25x100 = 25%
The time 45 minutes is 75 percentage of 3 hours
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage be represented as A
Now , the equation will be
The time be represented as p = 45 minutes
The value of p = 3/4 hours
The value of q = 3 hours
So , the percentage is A = ( p/q ) x 100
Substituting the values in the equation , we get
The percentage A = ( 3/4 ) / 3 x 100
On simplifying the equation , we get
The percentage A = ( 3/12 ) x 100
The percentage A = ( 1/4 ) x 100
The percentage A = 25 %
Hence , the percentage is 25 %
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An amount of 47,000 is borrowed for 12 years at 8.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$121,683.79
Step-by-step explanation:
A= P(1+ r)^t
A= Amount, P = Principal, r = Rate (decimal form), t= time
A = 47000(1+0.0825)^12
A = 47000(1.0825)^12
A = 47000(2.589016751)
A = 121683.7873
Rounded Answer = $121,683.79
(If there is meant to be no cents then $121,684). Good luck :)
Yan had 5 trading cards, and then his friend gave him more cards. Now he has 16 trading cards. Let t represent the number of cards his friend gave him. Write both an addition equation and a subtraction equation to model the problem.
PLEASE ANSWER IN THE NEXT 1 MINUTE.
Henry has 1.20 pounds of cat food. He uses 0.15 pound of cat food to feed one cat. How many cats can Henry feed with the cat food he has?
f ( x ) = x 2 + 6 x and g ( x ) = x − 8 , calculate. f ( g ( − 5 ) ) =
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
First we have to calculate g (-5) :
[tex]\qquad \tt \dashrightarrow \:x - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: - 5 - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: - 13[/tex]
Now, let's find f (g (-5)) :
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x[/tex]
[tex]\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)[/tex]
[tex]\qquad \tt \dashrightarrow \:169 + ( - 78)[/tex]
[tex]\qquad \tt \dashrightarrow \:169 - 78[/tex]
[tex]\qquad \tt \dashrightarrow \:91[/tex]
What is the greatest common factor of 36 and 90 ?
A 6
B 18
C 36
D 180
Answer:
B
Step-by-step explanation:
It's 18! Obviously it's not 180 because it's too big. It can't be 36 because 36 doesn't go evenly into 90. 6 is too small, so the answer is 18.
Given the same type of golf ball scenario with an equation
y=-0.005x2 +1.8x, horizontal distance of 360 feet, maximum
height of 162 feet, and using the helpful projectile motion formulas
below, answer the following.
x(t)=v, cos(6)y(t)= h, + v, - sin(0).4-1612
. 0
a.) What is the angle at which the ball takes off?
[ Select]
b.) How long is the ball in the air? (Select]
c.) What is the ball's speed when it hits the ground?
[ Select
The angle at which the ball takes off, distance the ball in the air, the ball's speed is mathematically given as
theta=60d=6.3658vo=116.486What is the angle at which the ball takes off?Generally, the equation for the verticle component is mathematically given as
[tex]y=xtan\theta-\frac{16x^2}{v0cos^2\theta}\\\\Therefore\\\\\theta=tan^{-1}(1.8)[/tex]
theta=60
b)
hmax=vo^2sin^2\theta/2g
vo=116.486
Therefore, distance the ball in the air
[tex]d=\frac{2*114.486*0.874*2}{32}[/tex]
d=6.3658
c)
The ball's speed when it hits the ground will be vo
vo=116.486
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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 24cm3 . Determine the minimum surface area necessary to construct a box of this volume. Enter an exact answer.
Circle A has a center of (2,3) and a radius of 5, and circle B has a center of (1,4) and a radius of 10. What steps will help show that circle A is similar to circle B?
-Dilate circle A by scale factor of 2
- Translate circle A using the rule (x+1, y-1)
-Rotate circle A 180 degrees about the center.
-Reflect circle A over the Y axis
Answer:
-Dilate circle A by scale factor of 2
Got it right on the test (see picture)
Circle A is translated using the rule (x + 1, y - 1). Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Circle A has a center of (2,3) and a radius of 5, and circle B has a center of (1,4) and a radius of 10.
Circle B is translated as 1 unit leftward in the x-direction and 1 unit upward in the y-direction.
Then circle B is dilated by a factor of 2.
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3x⁵. 2xy - x²y. 4x⁴ simplified
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:(3 {x}^{5} \times 2xy) - ( {x}^{2} y \times 4 {x}^{4} )[/tex]
[tex]\qquad \tt \dashrightarrow \:6 {x}^{6} y - 4 {x}^{6} y[/tex]
[tex]\qquad \tt \dashrightarrow \:2 {x}^{6} y[/tex]
= (3x^5× 2xy) — (x^2y × 4x^4)
= 6x^6y - 4x^6y
= 2x^6y
Use ABC to find the value of sin A
12/35
35/37
37/12
12/37
Answer:
The correct answer is 12/37
What is 4,321,109,432 rounded to the nearest billion?
Answer:
I think 4000000000
Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000
Step-by-step explanation:
First, you find the billions place which is right here:
4,321,109,432
Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.
If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from
your starting point? Round your answer to the nearest tenth of a mile.
Answer:
45.27 miles
Step-by-step explanation:
Pythagorean theorem
23^2 + 39^2 = d ^ 2
d = 45.27 miles
If a person drives 23 miles south and make a turn to east and drive 39 miles then the distance between starting point and person is 45.27 miles.
What is pythagoras theorem?Pythagoras theorem applies in a right angled triangle. It says that in a right angled triangle the square of hypotenuse is equal to sum of squares of perpendicular and base of that triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex]
How to find distance?When person drives towards south and then east , it forms a right angled triangle. We have to find the distance of person from the starting point. If we see the figure then we will come to know that we are require to find hypotenuse of triangle.
H=[tex]\sqrt{P^{2} +B^{2} }[/tex]
Distance=[tex]\sqrt{23^{2} +39^{2} }[/tex]
=[tex]\sqrt{1521+529}[/tex]
=[tex]\sqrt{2050}[/tex]
=45.27
Hence the distance of person from starting point is 45.27 miles.
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Complete the following sentence.
13 cm
8 cm
8 cm
The composite figure is made up of a rectangular prism and a
Answer:
Triangular prism
Step-by-step explanation:
There is one rectangular prism at the bottom and one triangular prism at the top.
Answer:
It is a square pyramid
Step-by-step explanation:
The product of 4 and 3 is raised to the 5th
power. Which expression shows this?
A (4 X 3) 5
B(4/3)5
C 4 X 35
D 4/35
SOLVE FOR X IN THE FOLLOWING EQUATION :-- -3(2X+3)+4X=4/3X+11
Answer:
-6
Step-by-step explanation:
-2x - 9 = 4/3x+11
-
-6x-27=4x+33
-
-6x-27-4x=33
-
=6x-4x=33+27
-
10x=33+27
-
-10x=60
-
x= -6
Write each quadratic equation in general form.
I need help direly
Answer:
9. 3x² +x -2y +5 = 0
10. 4x² +x -y +4 = 0
11. 9x² -6x -3y -12 = 0
Step-by-step explanation:
"General form" of a polynomial equation is ...
f(x, y) = 0
where the terms are arranged in lexicographical order and decreasing degree. That is, for terms of the same degree, x-terms are listed before y-terms, and xy terms are listed before y-only terms.
The leading coefficient can be positive or negative, your choice. (Positive is generally preferred.) For linear equations, "standard form" has the coefficients mutually prime. Making that happen for a general form polynomial would be your choice.
__
9.The highest-degree term is 3x². If we keep the leading coefficient positive, we can get general form by subtracting the expression on the left side of the equal sign.
3x² +x -2y +5 = 0
__
10.Subtracting the right side gives ...
4x² +x -y +4 = 0
__
11.Subtracting the left side gives ...
9x² -6x -3y -12 = 0
or
3x² -2x -y -4 = 0 . . . . . . remove a common factor of 3
Which description most accurately describes the motions for the calculation -5+ (-37)?
The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
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Answer:
small movement to the left followed by a large movement to the left.
Step-by-step explanation:
Isabel wants a coat that costs $60. She has saved $42. What fraction of the
amount she needs has she saved?
A) 21/30
B) 4/6
C) 8/12
D) 1/3
coat cost= $60.
to find:the fraction of amount she needs to save.
solution:saved/ actual cost
= $42/ $60 ÷ 2/2
= 21/30
answer= option a) 21/30
What is value of x?
Enter your answer in the box.
X=
Answer: 10
Step-by-step explanation:
1. Quinn's test scores are 95, 90, and 83. What must she score on the next test to have an average
score of 90 on the four tests?
Answer:
92
Step-by-step explanation:
Add 95, 90, and 83 all together
add 92 to that total
divide by 4
Help will give thanks to the first to answer
our number is x
we add seven (+7) to x
x+7
∣_7x+4∣=<18 absolute value
Step-by-step explanation:
|7x+4|≤18
7x+4≤ 18. 7x+4≥-18
x≤2. x≥-22/7
2≤x≤-22/7
I hate math. Can someone pls help me?
Answer:
∠s = 158
Step-by-step explanation:
Since lines a and b are parallel,
∠s and 158 are alternate exterior angles.
Alternate exterior angles are equal if two lines are parallel.
So,
∠s = 158
Answer: 22°.
Step-by-step explanation: We're given the angle 158°, which is all we need. Angle u and 158°, have to add up to 180°. 180° - 158° = 22°, which is the angle measure of u. You're probably wondering how this will help us. The answer to that is it gives us the measurement of angle t, which is 158°. Now, we'll do the same thing we did with angle u, which was to make angle u add up with 158° to make 180°. We'll apply this to angle t and angle s. We already know that angle t is 158°, so angle s has to be 22° in order to add up to 180°. Therefore, your answer is 22° for angle s.
Let me know if this is right! :)
A total of 643 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
350 adult tickets
Step-by-step explanation:
If x is the number of adult tickets sold, then x-57 is the number of student tickets sold (57 fewer). The total number sold is ...
x +(x -57) = 643
2x = 700 . . . . . . . . collect terms, add 57
x = 350 . . . . . . . divide by 2
There were 350 adult tickets sold.
The cost of a barrel of beans, b, fluctuates (changes) by 17% in both
directions during a three-month period.
Match the verbal description of the high cost of a barrel of beans with all equivalent expressions for b is increased by 17%.
A. b + 0.17b
B. b - 0.17b
C. b - 1.17b
D. -0.17b
E. 0.83b
F. 1.17b
Answer:
b increased by 17% =b + 17% of b =b + 0.17b =1.17bCorrect ones A and F
------------------------------------------
b decreased by 17% =b - 17% of b =b - 0.17b =0.83bCorrect ones H and K
While on vacation, the Garner family paid $120 for 3 tickets to a water park. How much money would they have spent on 5 tickets?
Answer:
$ 200
Step-by-step explanation:
$ per ticket = $ 120 / 3 tix
Price for 5 $120 / 3 tix * 5 tix = $ 200
Noah writes the equation 3(x+7)=57 to represent the situation. Use the distributive property to write this equation another way.
Answer:
3x+21=57
Step-by-step explanation:
When we use distributive property we do
[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]
Check answer:
[tex]3x+21=57\\-21=-21\\3x=36[/tex] [tex]\frac{3x}{3} =\frac{36}{3}[/tex]
x=12 3(12)+21=57
36+21=57
Help me with this question about vectors.
Answer:
parallelogram
Step-by-step explanation:
sr/pq=sp/rq
ab/dc=ad/bc
Answer:
Proven.
Step-by-step explanation:
So, fasten your seatbelts, we're about to go on a long ride(◠‿・)—☆
» In a parallelogram, opposite sides are equal in length.
This can be represented (in the vector way) by
'QR = '-SP = 'PS and 'RS = 'QS (let “'” represent a vector)
'QR + 'SP= 0 and 'RS-'QS = 0
Note the signs. The signs are determined by the arrows in the diagram. [A reminder: If you walk from a point A to a point B, your displacement vector is 'AB. If you walk back, that is, from B to A; your displacement vector is 'BA which is also equal to '-AB.]
This means: to prove that PQRS is a parallelogram, we must prove that
'QR + 'SP= 0 and/or 'RS-'QS = 0.
In this solution, we will only work on the first equation.
Permit me to remove this ' sign.
QR = QC+CR ...1
QR= QB+BA+AD+DR...2
ADD 1 TO 2
2QR= QC+CR+QB+BA+AD+DR
[LOOK CLOSELY, QC+QB=0 ; CR+DR=0. This is because BQ+QC = BC
BUT, BQ=QC= (BC)/2
QC-BQ= 0
AND, -BQ= QB
QC+QB= 0 ;)]
2QR= BA+AD...3
★
SP = SA+AP...4
SP= SD+DC+CB+BP...5
ADD 4 TO 5
2SP = SA+AP+SD+DC+CB+BP
[AGAIN, SA+ SD = 0 ; AP+ BP = 0]
2SP= DC+CB...6
3+6
2QR+2SP= BA+AD+DC+CB
[ BA+AD+DC+CB, IN A SIMPLE WAY, MEANS:
you start from B, and move to A (BA); from A to D (AD); from D to C (DC); and from C to B (CB). Therefore, you have gone from B to B (from your starting point and back). Hence, your total DISPLACEMENT is zero (you haven't changed your position).
2(QR+SP) = 0
'QR+'SP= 0
PROVEN
You can work out the other equation, but it is evident that PQRS is a parallelogram.
A boat is heading towards a lighthouse, where Meena is watching from a vertical
distance of 120 feet above the water. Meena measures an angle of depression to the
boat at point A to be 18º. At some later time, Meena takes another measurement and
finds the angle of depression to the boat (now at point B) to be 44º. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.
Answer:
245 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...
Tan = Oppsite/Adjacent
__
The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...
cot(angle) = (distance to boat)/(Meena's height)
Then the distance to the boat is ...
distance to boat = (Meena's height)×cot(angle)
The change in distance from A to B is then ...
A -B = (120 ft)(cot(18°) -cot(44°))
= (120 ft)(3.0777 -1.0355) ≈ 245.06 ft
The distance from point A to point B is about 245 feet.
NEED HELP ASAP!!!!
A) 12 sq. cm.
B) 6 sq. cm.
C) 12 cm
D) 6 cm
Answer:
its B- 6 sq. cm.
Step-by-step explanation:
1/2 times base times height
1/2 x 4 x 3
6
Answer:
The answer is given below
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]
[tex]area = \frac{1}{2} \times 3 \times 4[/tex]
Area = 1/2 * 12
Area = 6