Answer:
1. The percentage change is 74% and it is a percentage decrease
2. The percentage change is 15% and it is a percentage decrease
3. The percentage change is 20% and it is a percentage decrease
4. The percentage change is 43% and it is a percentage increase
5. The percentage change is 40% and it is a percentage decrease
6. The percentage change is 39% and it is a percentage decrease
Step-by-step explanation:
Given
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]2.\ Original = 160; New = 136[/tex]
[tex]3.\ Original = 15; New = 12[/tex]
[tex]4.\ Original = 7; New = 10[/tex]
[tex]5.\ Original = $30; New = $18[/tex]
[tex]6.\ Original = 9.6; New = 5.9[/tex]
Required
Determine the percentage change and state whether it's an increase or decrease
Percentage change is calculated as:
[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]
[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]
[tex]\%Change = \frac{-370\%}{5}[/tex]
[tex]\%Change = -74\%[/tex]
The percentage change is 74% and it is a percentage decrease
[tex]2.\ Original = 160; New = 136[/tex]
[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]
[tex]\%Change = \frac{-2400\%}{160}[/tex]
[tex]\%Change = -15\%[/tex]
The percentage change is 15% and it is a percentage decrease
[tex]3.\ Original = 15; New = 12[/tex]
[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3* 100\%}{15}[/tex]
[tex]\%Change = \frac{-300\%}{15}[/tex]
[tex]\%Change = -20\%[/tex]
The percentage change is 20% and it is a percentage decrease
[tex]4.\ Original = 7; New = 10[/tex]
[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]
[tex]\%Change = \frac{3}{7} * 100\%[/tex]
[tex]\%Change = \frac{3* 100\%}{7}[/tex]
[tex]\%Change = \frac{300\%}{7}[/tex]
[tex]\%Change = 43\%[/tex] -- (approximated)
The percentage change is 43% and it is a percentage increase
[tex]5.\ Original = $30; New = $18[/tex]
[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12* 100\%}{30}[/tex]
[tex]\%Change = \frac{-1200\%}{30}[/tex]
[tex]\%Change = -40\%}[/tex]
The percentage change is 40% and it is a percentage decrease
[tex]6.\ Original = 9.6; New = 5.9[/tex]
[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]
[tex]\%Change = \frac{-370\%}{9.6}[/tex]
[tex]\%Change = -39\%[/tex] -- (approximated)
The percentage change is 39% and it is a percentage decrease
Rachel's biscuits require 0.75 cup of milk for 1 batch. Use dimensional analysis to convert this amount into liters. Use the conversion factors 1 cup/0.5 pints to convert cups into pints, 1 pint/0.5 quart to convert pintos to quarts, and 1 quart/0.94 liter to convert quarts to liters. Use the correct number of significant digits to give your answer
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
Answer:
0.75 cup = 0.1763 liters
Complete the table.
Original Price
Percent of Discount
Sale Price
25%
$40
Please helppp!!
Unit
i-Ready
2
6) Paige walks to the park mile 2/3 away. It takes her 16 minutes to get there. Paige
her speed in miles per minute.
Which fraction represents Paige's wants to know speed in miles per minute?
Answer:2/3 / 16
Step-by-step explanation:
I js did it n got that
Answer:
2/3 / 16 or two-thirds divided by 16
Step-by-step explanation:
i did it and got it right and i need points. ty c:
What is the value of the expression below when x=8 and y=3? 8x-9y
Answer:
8(8)-9(3)
64-27= 37
Step-by-step explanation:
Please, can someone help me?
Step-by-step explanation:
4. not enough information
5.SAS
.we have PE congruent to ER
.angle PEF congruent to angle FER
.and EF that is common for both of triangles
6.SSS
.MO congruent to KL
.MK congruent to OL
.KO that is common for both of triangles.
Given the parent function and a description of the transformation, write the equation of the transformed equation, f(x).
1. Cubic—compress by 1/3 ______
2. Square Root —reflected over the x axis (opens down), vertical shift down 2. ______
3. Quadratic— stretch by 5, horizontal shift left 8. ______
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
5744. 61 cents
Step-by-step explanation:
5744. 61 cents
Because:
Explanation:
after 1 year:
20700×89%=18423
after 2 years:
18423×89%=16396.47
after 3 years:
16396.47×89%=14592.8583
after 4 years:
14592.8583×89%=12987.64389
after 5 years:
12987.64389×89%=11559.00306
after 6 years:
11559.00306×89%=10287.51272
after 7 years:
10287.51272×89%=9155.886323
after 8 years:
9155.886323×89%=8148.738828
after 9 years:
8148.738828×89%=7252.377557
after 10 years:
7252.37757×89%=6454.616026
after 11 years:
6454.616026×89%=5744.608263
~5744.61 (nearest cent)
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Answer: Ehhhhhhh
Hello?
Oof
8^2+4(8-14)^2 Evaluate the experssion.
Answer:
208
Step-by-step explanation:
PEMDAS:
Parenthesis first:
8^2 + 4 (8 - 14)^2
8^2 + 4 (-6)^2
Exponents second:
8^2 + 4 (-6)^2
64 + 4 (36)
Multiply third:
64 + 4 (36)
64 + 144
Add last and solve:
64 + 144 = 208
what is the answer?
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Since CD is the perpendicular bisector of AB, AD = DB.
Hence 6x - 2 = 2x + 18 and x = 5.
Please help me! 10 pts and brainliest! Please
Which equation can be solved to find the value of y in this diagram? The pic is above!
A. y+ 116 + 30 = 180
B. y-116 - 30 =360
C. y+116 + 30 - 360
D. y-116 - 30 = 180
Help!!!! I need the answer please
HURRY PLEASE!!! Which generic rectangle would be used to factor x^2+7x+6
Answer:
Rectangle B
Step-by-step explanation:
Given the expression x^2+7x+6, to get the required rectangle we need to factorize first;
= x^2+7x+6
= x^2+6x+x+6
= x(x+6) + 1 (x+6)
= (x+1)(x+6)
From line 2 we will see that the terms contains x², 6x, x and 6. The rectangle that contains all this terms is rectangle B. Hence option B is correct.
Please help me out!!!!!
Answer:
Step-by-step explanation:
7(2)³ - 2(2)² + 4(2) - 5 = 51
The answer is (D).
James’s little brother and sister wanted to get a face paint. There were 5 kids in front, each kid takes 15 minutes to get their face painted. How many minutes do they have to wait after 3 kids?
Answer:
9 minutes
Step-by-step explanation:
As it states in the question it takes 15 minutes to paint 5 kids so you do 15/5=3
So it takes 3 minutes to paint each kid.
In the problem it asks how long does it take to paint three kids.
So now we do 3 minutes*3 kids=9 minutes
So it takes 9 minutes to paint three kids
Hope this helps,
Please give me brainliest if you think my answer is correct.
O A. yis all real numbers.
O B. y> 0
C. O sys 8
D. -65 x<6
Answer:
C. 0 ≤ y ≤ 8
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, we see that the line's y-value span from 0 to 8. Since both are closed dots, they are inclusive in the range:
[0, 8] or 0 ≤ y ≤ 8
Robert needs to know if the triangle shown is a right triangle. Which equation could he use to help? A. 36+ 25= 49B. 25 + 36 = 49 C. 25 2 + 36 2 = 49 2 D. 36 2 –25 2 = 49 2
Answer:
C. 25² + 36² = 49²
Step-by-step explanation:
We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.
A. 36+ 25= 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
B. 25 + 36 = 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
C. 25² + 36² = 49²
This is correct as it matches the theorem.
D. 36² –25² = 49²
This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.
Five friends are going to share One-half of a pizza. How much of a whole pizza will each friend eat? Which equation can be used to solve the problem above? 5 divided by one-half = n one-half divided by 5 = n n divided by 5 = one-half n divided by one-half = 5
Answer:
1/2 divided by 5
Step-by-step explanation:
Answer:
The first answer
Step-by-step explanation:
Teresa purchased a prepaid phone card for $30. Long distance calls cost 22 cents a minute using this card. Teresa used her card only once to make a long
distance call. If the remaining credit on her card is $22.74, how many minutes did her call last?
Answer:
33 minutes
Step-by-step explanation:
first find how much money she spent
30 - 22.74 = $7.26 spent
divide that by 0.22
7.26 / 0.22 = 33 minutes
hope this helps <3
Translate the sentence into an inequality.
Twice the difference of a number and3 is at most 16.
Use the variable for the unknown number.
anyone else trying to study but t i k t o k is being addicting
Step-by-step explanation:
yes I am how about you, I always get stuck on my assignments
Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:I’m pretty sure it’s b (20.8)
Step-by-step explanation:
Here are 5 lines on a coordinate grid:
Write equations for lines:
Answer:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
For the particular case of horizontal lines, those will be of the form:
y = constant.
The vertical lines will be of the form:
x = constant.
Let's start with line a, this is a vertical line, then will be:
x = constant.
To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:
x = -4
For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.
Now for the horizontal lines:
Line c will be of the form:
y = constant
To find the value of the constant you need to see in which point the line intersects the y-axis.
In this case the line intersects the axis at y = 4.
Then this line can be written as: y = 4
For line d, we can see that it intersects the y-axis at -2, then this line will be written as:
y = -2.
For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.
(0 , 1) and (4, -2)
Then the slope will be:
a = (-2 - 1)/(4 - 0) = -3/4
y = -(3/4)*x + b
To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.
1 = -(3/4)*0 + b
1 = b
Then the equation for line e is:
y = -(3/4)*x + 1.
can you please help me
Step by step as well for brainliest
Answer:
Step-by-step explanation:
42:7=ED:24
cross multiply 42 into 24.
Then divide by 7
you will get ED
Then use pythageorous theorem.
Ed square + 42 square=Ef square
Then do square root of Ef square
Mae Ling earns a weekly salary of $390 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,300 worth of merchandise?
Answer:
She would make $734 in a work week if she sold $4,300 worth of merchandise.
Step-by-step explanation:
First, you should calculate the amount she would receive on comissions by multiplying the amount she sold for 8%:
$4,300*8%=$344
Now, you have to add the weekly salary plus the amount she receives for the comission on sales:
$390+$344=$734
According to this, the answer is that she would make $734 in a work week if she sold $4,300 worth of merchandise.
14. A six-sided die is rolled and a fair coin is flipped.
Find the probability that the die lands on an 2 or 3 and the
coin comes up tails.
Answer:
The probability that the die will land on 2 or 3 Is a 1/6 chance the coin to land on tails is a 1/2 chance.
Hope this helps!
HELP, i’m not good a triangles
Answer:
B
Step-by-step explanation:
SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.
This is confusing to explain, if you have any questions post them in the comments.
what is the slope intercept form of a linear function
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation: I hope this helps
Answer:
y=mx + b
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 2x+12y=−192. Fully reduce your answer.
Step-by-step explanation:
12y = -2x - 192
y = -1/6 x - 16
Hence the slope of the perpendicular line is 6.
Answer:
12y = -2x - 192
y = -1/6 x - 16
Step-by-step explanation:
Hope this helped have an amazing day!
a $320 dollar suit is marked down by 30% find the sales price
Answer:
224
Step-by-step explanation: