Answer:
.9%
Step-by-step explanation:
9.61 - 9.52 = .09
Percent of increase = .09/9.52 = .00945... = .9%
Suppose aisha only reads from 10:15 a.M to 2:10 p.M and from 7:20 p.M to 9.00 p.M each day starting on monday on what day and at what time will she finish reading her book?
Complete Question
Aisha is spending a week at her family’s cottage and wants to read her favourite book, which is 400 pages long.
a) If she reads one page every 36 seconds, how many hours will it take her to read her book?
b) Suppose Aisha only reads from 10:15 a.m. to 2:10 p.m., and from 7:20 p.m. to 9:00p.m. each day, starting on Monday. On what day and at what time will she finish reading her book?
Answer:
a) 4 hours
b) Monday, 7:25 pm
Step-by-step explanation:
a) From the above question, we are told that,
She read 1 page in 36 seconds
Total number of pages in the books = 400
Hence:
1 page = 36 seconds
400 pages = x
Cross Multiply
x = 400 × 36 seconds
x = 14,400 seconds
Converting this to hours
60 seconds = 1 minute
60 minutes = 1 hour
Hence: 60 × 60 = 3600 seconds = 2 hour.
3600 seconds = 1 hour
14400 seconds = x
x = 14400/3600
x = 4 hours
Hence, it takes Aisha 4 hours to finish reading the 400 paged book
b) The number of hours between 10:15 a.m. and 2:10 p.m. is
calculated as:
2:10 pm - 10.15 am
Converting 2:10 pm to a 24 hour clock for easy calculation =
2:10 pm = 14:10 hours
Hence:
14:10 - 10:15
= 3 hours 55 minutes
Remember, from Question a, it takes Aisha 4 hours to finish reading her book and
If 10:15 a.m. to 2:10 p.m = 3 hours 55 minutes, Aisha needs 5 extra minutes to finish her book.
Therefore, she will finish reading her book at 7:25 p.m. on Monday.
What are the zeros of the equation x^2+7x+12=0
Answer:x=−3 or x=−4
Step-by-step explanation:Step 1: Factor left side of equation.
(x+3)(x+4)=0
Step 2: Set factors equal to 0.
x+3=0 or x+4=0
x=−3 or x=−4
solving special systems.
Given:
The equations of system of equations are
[tex]y=-4x-6[/tex]
[tex]-4x-y-6=0[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=-4x-6[/tex] ...(i)
[tex]-4x-y-6=0[/tex] ...(ii)
Adding y on both sides in (ii), we get
[tex]-4x-6=y[/tex]
[tex]y=-4x-6[/tex]
It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.
Thus, the system of equations has infinitely many solutions.
Therefore, the correct option is C.
How would the expression be written using Two Squares
Answer: there is no expression
Step-by-step explanation:
Jeremy ate 1/3 of an apple pie. Sara ate 1/4 of the remainder. What fraction of the pie did Sara eat?
___ of the pie was left after Jeremy had his share.
So, Sara ate ___× ___ = ___
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
[tex]1-\dfrac{1}{3} =\dfrac{3}{3} -\dfrac{1}{3} =\dfrac{2}{3} \: - it \: is \: of \: the \: pie \: was \: left \: after \: Jeremy \: had \: his \: share.[/tex]
[tex]\dfrac{2}{3} \times \dfrac{1}{4} =\dfrac{2}{12}=\dfrac{1}{6} - Sara \: ate.[/tex]
So, Sara ate 2/3 × 1/4 = 1/6
2/3 of the pie was left after Jeremy had his share.
So, Sara ate 2/3 × 1/4 = 1/6.
Given that, Jeremy ate 1/3 of the apple pie,
so, she left = 1 - 1/3 = 3-1/3 = 2/3
i.e. Jeremy ate leaving 2/3 of the pie remaining.
now, we have, Sara ate 1/4 of the remainder (2/3).
To find out how much Sara ate, we multiply 1/4 by 2/3:
(1/4) * (2/3) = 2/12 = 1/6
So, Sara ate 1/6 of the pie.
Now, let's find out what fraction of the pie was left after Jeremy had his share:
Original pie = 1 whole pie = 1/1
Jeremy ate 1/3 of the pie,
so, she left = 1 - 1/3 = 3-1/3 = 2/3
i.e. Jeremy ate leaving 2/3 remaining.
Now, after Sara ate 1/6 of the pie, the fraction left is:
Remaining fraction = (2/3) - (1/6) = (4/6) - (1/6) = 3/6 = 1/2
So, after Sara had her share, 1/2 of the pie was left.
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-2 with an exponent of 2, minus 4
Answer:
0
Step-by-step explanation:
-2² - 4
~Simplify
4 - 4
~Subtract
0
Best of Luck!
BEG is a triangle ABC And DEF are parellell lines
Answer:
What is the question?
Step-by-step explanation:
A bag contains some red, blue and yellow balls. 30% of the balls are blue and 40% are red. If there are 50 balls in the bag, how many are yellow?
Answer:
15
Step-by-step explanation:
The number of yellow balls will be 15.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A bag contains some red, blue and yellow balls. 30% of the balls are blue and 40% are red.
And, Total number of balls = 50
Now,
Since, A bag contains some red, blue and yellow balls. 30% of the balls are blue and 40% are red.
Hence, Number of yellow balls = 100% - (30% + 40%)
= 100% - 70%
= 30%
Thus, Number of yellow balls = 30% of 50
= 30 x 50 / 100
= 15
Therefore, The number of yellow balls will be 15.
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8⁴x8²=8 to the power of ____
Answer:
power of 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
8^4 is 8*8*8*8
8^2 is 8*8
therefore
(8^4) *(8^2) = (8*8*8*8)*(8*8) = 8^(4+2) = 8^6
Find the length of BC.
I will give BRAINLIEST for first correct answer!!! PLEASE answer as soon as you can :)
Answer:
(x+1)(x+2)
Step-by-step explanation:
x^2 + 3x + 2
find what multiples to 2 and adds to 3
Factors of 2 are 1 and 2, 2 + 1 = 3.
so the binomial would be (x+1)(x+2)
and then you would need to do FOIL to check
First: x * x = x^2
Outer: x * 2 = 2x
Inner: x * 1 = x
Last: 1 * 2 = 2
Then simplify: x^2 + 2x + x + 2
x^2 + 3x + 2
Solve the system by any method.
(3x – 4y = -5
(5x + 8y = -1
Answer:
( x , y ) = ( -1,1/2)
Step-by-step explanation:
Solve the equation for X
[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]
Substitute the given value of x into the equation 5x + 8y = -1
5(-5/3+4/3y)+8y=-1
Solve the equation for Y
y=-1/2
Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y
x=-5/3+4/3×1/2
Solve the equation for X
x=-1
The system solution is the computer pair
(x,y)=(-1,1/2)
Check if the ordered pair given to the solution of the system of equations
[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]
Simplify the equations
[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]
The ordered pair is the solution of the system of equations, since both equations are true
(x,y)=(-1,1/2)
Are the lines - 6x + 3y = -9 and y + 1 = -3(x + 2) parallel,
perpendicular, or neither?
Answer:
NeitherStep-by-step explanation:
Given lines:
- 6x + 3y = -9 and y + 1 = -3(x + 2)To determine the answer we need to compare slopes of the lines.
Parallel lines have same slopes, perpendicular lines have negative-reciprocal slopes.
Let's put them in slope-intercept form:
- 6x + 3y = -9 ⇒ -2x + y = - 3 ⇒ y = 2x - 3y + 1 = -3(x + 2) ⇒ y + 1 = -3x - 6 ⇒ y = -3x - 7As we see the slopes are 2 and -3, so the lines are neither parallel nor perpendicular
Express each fraction as the sum of two or three equal fractional parts. Rewrite as a multiplication equation 6/9
Answer:
3/9 + 3/9 ; 2 * (3/9)
2/ 9 + 2/9 + 2/9 ; 3 * (2/9)
Step-by-step explanation:
Rewriting 6/9 as a sum of 2 or 3 equal fractional part :
Rewriting as a sum of 2 equal fractional parts :
6/9 ÷ 2 = (6/9 * 1/2) = 6/ 18 = 3 / 9
Rewriting as a sum :
6 / 9 = 3/9 + 3/9
As multiplication :
2 * (3/9) = 6/9
As a sum of 3 equal fractional parts :
6 / 9 ÷ 3 = (6/9 * 1/3) = 6 / 27 = 2/9
Rewriting as a sum :
6/9 = 2/ 9 + 2/9 + 2/9
Multiplication :
3 * (2/9) = 6/ 9
Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. If she bought 5 bottles of lemonade, how much was each bottle of lemonade?
Correct answer get's brainliest
Answer:
each bottle was 1.25
Step-by-step explanation:
subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade
Describe the number of solutions to a system of linear equations when the graphs of the
equations do not intersect, intersect in exactly one point, and intersect at all points.
Answer:
when the equations do not intersect they have NO solutions and are parallel
When they intersect at one point, they have ONE solution
When they intersect at all points, they have infinite solutions and are the same line/equation.
Step-by-step explanation:
A system of linear equation has no solution, only one solution, and infinite solutions when the graph of the equation do not intersect, intersect in exactly one point and intersect at all points respectively.
What is system of linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables. A system of linear equation has
no solution when the graph do not intersect each other. only one solution when the graphs intersect at one point. infinite solutions when the graph of the equations intersect at all points.Therefore,
From the graph we can see that " the system of linear equations has no solution, only one solution, and infinite solutions when they do not intersect, intersect in one point, and intersect at all point".
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helpppppp someone please
Answer:
x=22/5
Step-by-step explanation:
multiply by 3 on both sides
7+x=6x-15
x=6x-22
-5x=-22
*-1 on both sides
5x=22
x=22/5
Write the equation for a line that passes through the point (-8,2) and is parallel to 5x-4y=4. Enter your equation in slope intercept form with slope written as a fraction
Answer:
y = 5/4x + 12
Step-by-step explanation:
5x - 4y = 4
-4y = -5x + 4
y = (-5x + 4)/-4
y = 5/4x - 1
Parallel Slope ---> m = 5/4
(-8, 2)
y = mx + b
2 = 5/4(-8) + b
2 = 5 * -2 + b
2 = -10 + b
12 = b
b = 12
y = 5/4x + 12 <---- This is the answer
Hope this helps!
Sarah was raising money for a fundraiser. Her fundraising goal was $40. What would 50% of her fundraising goal be??
Answer:
$20
Step-by-step explanation:
50% of Fundraising goal= 0.5 x $40
= $20
The volume of a rectangular prism is 128 cubic yards. The base of the prism has an area of 8 square yards. What is the height of the prism?
Answer:
The height of the prism is 16 yards
Step-by-step explanation:
To get the height of the prism, we simply divide the volume of the prism by its base area
Mathematically, we have this as;
128/8 = 16 yards
Answer:
4
Step-by-step explanation:
a circle with a 12 inch diameter is folded in half and then folded in half again to create a quarter circle. what is the perimeter of this shape? HELP ME PLEASE
ANSWER:
21.42
Step-by-step explanation:
if the diameter is 12 inch then radius is 6 inch
formula of perimeter of quater circle is
=2πr/4+2r
=2*3.14*6/4 +12
=37.68+12/4
=21.42
I hope this may helps u
The perimeter of the shape is 21.42 in.
Given:
It will have a perimeter of:
r + r + 1/4C
=2r + 1/2πr
=12 + 1/2*6*3.14
=12 + 9.42
=21.42 in
What is perimeter?A perimeter is a closed path that covers, surrounds, or bounds a two-dimensional shape or a one-dimensional length. The perimeter of a circle or ellipse is called its perimeter. Frame calculus has several practical applications.
To find the perimeter of a rectangle, or the distance, we must add the lengths of all four sides. This can be done efficiently by simply adding the length and width and multiplying that sum by two since there are two lengths on each side. perimeter= (Length Width) × 2 is the formula for perimeter.
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Q1. Find the measure of angle 1. Show your work.
Q2. Find the measure of angle 2. Show your work.
Q3. Find x. Show your work.
Answer:
1. 110°
2. 139°
Step-by-step explanation:
1. 180° in a triangle
180 - 40 - 30 = 110°
2. 180° in a triangle
angles on a straight line add up to 180°
180 - 64 - 75 = 41°
180 - 41 = 139°
10x + 3 = 3(x - 6) - 8x
Answer:
x = 1.333
Step-by-step explanation:
Given equation:
10x + 3 = 3(x - 6) - 8x
10x + 3 = 3x - 6 - 8x ^ Distributive Property of Equality
10x + 3 = -5x - 6 ^ Combine like-terms
15x + 3 = -6 ^ Addition Property of Equality
15x = -9 ^ Subtraction Property of Equality
x = 1 1/3
y=2x-4
graph the line for the given problem
Answer:
y = -4
Step-by-step explanation:
How to find the y intercept:
y=2x-4 (Substitute "x" for zero "0")
y=2*0-4 (Solve the equation)
Answer: y = -4
How to find the x intercept:
y=2x-4 (Substitute "y" for zero "0")
0=2x-4 (Move the variable to the left)
-2x=-4 (Divide both sides)
Answer: x = 2
To graph it, go on your coordinate plane and to the x axis. Once you find the point "positive 2" or 2, go down four spaces to "negative 4" or -4. Then just draw your line and you should have your answer!!
I hope this helped!! :]
c(n) = -6 + 5(n - 1) find the 8th term in the sequence
Answer:
[tex]c(8) =29[/tex]
Step-by-step explanation:
[tex]c(n) = -6 + 5(n - 1)[/tex]
For 8th term (n=8)
[tex]c(8) = -6 + 5(8 - 1)[/tex]
[tex]c(8) = -6 + 35[/tex]
[tex]c(8) =29[/tex]
20 points pls help.... Working alone, Ryan can dig a 10 ft. by 10 ft. hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together?
Answer:
2.72 hours
Step-by-step explanation:
Ryan digs 1/5 hole per hour
Castel digs 1/6 hole per hour
together they dig 1/5+1/6=11/30 holes per hour
11/30/hr divide by 11 to find out 1/30 of a hole per hour
1/30 and multiply by 30 to get a complete hole
1 hole=30/11=2.72 hours
Sorry, I can't move the boxes around
Which of the following statements is equivalent to 10 + 6?
Answer:
16-6=10
Step-by-step explanation:
A group of students sold 48 candles in 4 hours Part B At that rate, how many candles can be sold in 9 hours.
Answer:
108 candles would be sold in 9 hours
Step-by-step explanation:
First add 48 + 48 = 96
then 48 divided by 4 = 12
12 + 96 = 108
9x – 2y = -1
2y = 3x – 5
x =?
y =?
Answer:
x-45
Step-by-step explanation:
jar of jelly contains 510 grams of jelly. There are about 26 servings in one jar. How much is one serving?
Answer: 19.615
Step-by-step explanation:
510 ÷ 26 = 19.615
One serving of jelly will be 19.62 grams.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a jar of jelly that contains 510 grams of jelly. There are about 26 servings in one jar.
26 servings weight 510 grams
1 serving will weight (510/26) = 19.62 grams
Therefore, one serving of jelly will be 19.62 grams.
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