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If the original quantity is 15 and the new quantity is 18, what is the percent increase?
The percent increase is 20%.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
original quantity = 15 and the new quantity =18
so, Change in amount = 18- 15= 3
So, the percent increase
= Change in amount / original amount x 100
= 3/ 15 x /100
= 100/5
= 20 %
Hence, the percent increase is 20%.
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14/27 rounded to the nearest 1/2
The following is the process:
To find 14/27 rounded to the nearest 1/2, you need to determine which fractions with a denominator of 2 (1/2, 2/2, etc.) are closest to 14/27.
First, notice that 14/27 is more than 1/2 (which is equivalent to 13.5/27), but less than 1 (which is equivalent to 27/27).
The two nearest halves to 14/27 are 1/2 (which is 13.5/27) and 3/2 (which is 40.5/27). Since 14/27 is closer to 1/2 than to 3/2, you would round down to 1/2.
use multiplication to find three ratios equivalent to 5 : 11.
of all the whole numbers that divide evenly into two or more numbers the one with the highest value is called the _____________.
What’s 8,450 divided by 125
what is 0.4% of $100
0.4% = 0.004
100 * 0.004 = 0.4
Hans rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 85 cents for each mile driven. Hans had to pay $205.29 when he returned the truck. For how many miles did he drive the truck?
which system of inequalities is graphed below
Answer:
Option D
Step-by-step explanation:
Let's explain why the Option D is correct :
The Parabola equation: [tex]$x \leq y^2 - 8$[/tex]This is a parabola equation with vertex at x = -8.
Despite that the "traditional equation" is [tex]$ y=x^2 + b $[/tex] in this case the parabola equation is plotted in the X axis and has a [tex]$ <= $[/tex] sign which indicates that X will take values less and equal than [tex]$ y^2 -8 $[/tex]
The graph of the parabola is attached to the answer.
The hyperbola equation: [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} > 1 $[/tex]This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)
The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.
It's similar to the previous case of the parabola, Despite that the "traditional equation" of the Hyperbola : [tex]$ {x^2 /{a^2}} - {y^2 / {b^2}} = 1 $[/tex] in this case the hyperbola equation has a [tex]$ > $[/tex] sign which indicates that hyperbola will take values greater than those who correspond to [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} = 1 $[/tex]
The graph of the Hyperbola is also attached
Finally we deduce that the D system of inequalities is the correct one.
Also the answer is attached.
ANSWER A B C AND D DOWN BELOW
Is 3.5 an irrational number
A glass pitcher holds 6 1/3 cups of pineapple juice. Tracy transfers the juice in equal amounts into 3 bottles. How many cups of juice will each bottle contain? (Show ur work plz)
Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point?
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
The player runs 6 meters forward, and then runs 0 meters in the opposite direction.
Answer:
THE ANSWER IS:The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
because if the player runs both 5 up and 5 down he has gone nowhere witch means the distance he has traveled is 0 so that's your'e answer the first one
You are working as an assistant to a chef.the chef has 6 cups of berries and will use 2/3 cup of berries for each dessert he makes.how many desserts can he make?
There are 7 days in 1 week. How many days are there in 4 weeks?
how many time more respondents chose silver than red round to the nearest tenth if necessary red is .2 and .09 is silver
PLEASE HELP ME
Which equation applies the associative property of multiplication?
A. 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6)
B. (−4/11−2/3)−3/4=−4/11−(2/3−3/4)
C. 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)
D. −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)
The answer to your question is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Why?: ~because the associative property of multiplication means that no matter which what you change the answer option, you'll still get the answer for example, if you multiply −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 The answer would be the exact same as (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5) because, if you go through this list of answers you'll see that they are the same, so you should get the same answer which is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Answer:
D
Step-by-step explanation:
Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers
Final answer:
The problem is solved by creating an equation based on the given properties and solving for x, which represents the smaller even integer. After solving, we find that the two consecutive even integers in question are 8 and 10.
Explanation:
Let the smaller even integer be denoted as x. Consequently, the larger consecutive even integer will be x + 2, since even integers are two units apart.
The problem states that when we add the smaller integer to three times the larger integer (x + 3(x + 2)), the result is two less than five times the smaller integer (5x - 2). This gives us an equation to solve:
x + 3(x + 2) = 5x - 2
Expanding the left side of the equation:
x + 3x + 6 = 5x - 2
Combining like terms:
4x + 6 = 5x - 2
Now, subtract 4x from both sides:
6 = x - 2
Finally, add 2 to both sides to find the value of x:
x = 8
Therefore, the smaller integer is 8, and the larger consecutive even integer is 10.
So, the two consecutive even integers are 8 and 10.
Final answer:
To find the two consecutive even integers, assign variables x and x + 2. Set up and solve the equation x + 3(x + 2) = 5x - 2 to find x = 8. The consecutive even integers are 8 and 10.
Explanation:
To find the two consecutive even integers, let's assign variables to represent the integers. Let the smaller integer be x and the larger integer be x + 2 (since they are consecutive even integers). The problem states that when the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.
So, we can set up the equation: x + 3(x + 2) = 5x - 2. Simplify and solve for x:
x + 3x + 6 = 5x - 24x + 6 = 5x - 24x - 5x = -2 - 6-x = -8x = 8Therefore, the smaller integer is 8 and the larger integer is 8 + 2 = 10. The two consecutive even integers are 8 and 10.
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Write a decimal that is greater than 3.4 but less than 3.5
What is the cost of 2 kilograms of flour if 3 Kg cost $4.86 and the unit price for each packet of flower is the same? A. $0.81 B. $2.86 c. $3.24 d. $9.72
terrell runs 15 sprints. each is 65 meters. how many does terrell run
Uptown Photography charges $15 per portrait sheet, plus $19 for a session fee. Downtown Photography charges $29 for a session fee and $10 per portrait sheet. Find the number of portrait sheets for which the total price is equal for the companies with the solution stated as an ordered pair. A) (5, 79) B) (4, 69) C) (3, 59) D) (2, 49)
The answer is (2,49).
50 POINTS!!!!!!!!!
Using the figure below to answer the questions.
(a) Describe in words a sequence of transformations that maps triangle JKL to triangle J’K’L’.
(b) Write an ordered-pair rule for each transformation in the sequence.
Blake and Jerome will split 1/4 if a cherry pie.How much of the cherry pie will each get
Round to the nearest given place.
1.80431
thousandths
Find the value of x. (5x+15) (6x-10)
Answer:
We get x = -5/3 and x = -3
Step-by-step explanation:
[tex](5x+15) (6x-10)[/tex]
Multiplying this and equating to zero, to find x.
[tex]30x^{2} -50x+90x-150=0[/tex]
[tex]30x^{2} +40x-150=0[/tex]
Factoring out 10.
[tex]3x^{2} +4x-15=0[/tex]
[tex]3x^{2} +9x-5x-15=0[/tex]
3x(x+3)-5(x+3)=0[tex]
[tex](3x-5)(x+3)=0[/tex][/tex]
We get x = -5/3 and x = -3
A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpoles shadow is 30 feet at a certain time of day, how long is the building's shadow at that time?
Answer:
180 for plato
Step-by-step explanation:
Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equation - X + 6 = 5 - 3x is " subtract 5," then what should the next step be?
You would add x to -3x
The graph shows the distances traveled by two hikers over several hours.
A graph measuring distance and time. Two lines, labeled Hiker A and Hiker B, exit the origin to show that distance increases as time increases
Which hiker is moving at a faster rate?
Select from the drop-down menu to correctly complete the statement.
Hiker is moving at a faster rate.
Answer:
Hiker A is moving at a faster rate.
Step-by-step explanation:
When two lines are being compared, the one that moves faster is the one with the higher slope. Looking at these two graphs, we see that the graph of Hiker A has a higher slope; therefore Hiker A is moving faster.
Using the information depicted on the graph, the speed of the hikers is given by the slope of the graph. Hence, Hiker A is moving at a faster rate.
The steepness of the slope of a linear graph can be used to measure the rate of change.
Steeper slope means a higher rate of change. Since, Hiker A has a steeper slope, then he is moving at a faster rate.
Therefore, the hiker moving at a faster rate is hiker A.
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9-3÷1/3+1. what's the answer
integral of x sqrt(36+x^2) when x = 6tan theta