Answer:
75% of the original paper’s size.
Step-by-step explanation:
Let’s say that the original size was 10 inches.
You then increase it by 50%. It is now 15 inches.
Now, you decrease it by 50%. 50% of 15 is 7.5. So, the paper is now 7.5 inches.
7.5 inches is 75% of the original paper size.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
Smaller than you started with.
Eric wants to collect data about the reading habits of his friends.
The table shows some questions Eric might ask.
Is each question a statistical question that Eric can ask to collect data?
Select Yes or No for each question
Question
?
Does Harry like to read?
0
What is the type of book that Raj likes the most?
0
How many books do each of my friends read each year?
0
How many pages are in each of the books on my friend's bookshelves?
0
Answer: No, No, Yes, Yes
Step-by-step explanation:
Answer: 1. No 2. No 3. Yes 4. Yes
Step-by-step explanation: I took the online homework and got 100%
and here is proof that I'm right.
Please mark me Brainliest : D
1. Add or Subtract. Show your work
a. (-2x^2-4x+13)+(12x^2+2x-25)
b. (7x^2+4x-26)-(-7x^2-3x+15)
2. Find the roots. List your steps correctly.
f(n)=n^2-6n-16
QUESTION 1a.
We want to add
[tex]( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)[/tex]
We group similar terms to get
[tex]- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13[/tex]
Simplify:
[tex]- 10{x}^{2} - 2x -12[/tex]
QUESTION 1b.
The given function is:
[tex](7x^2+4x-26)-(-7x^2-3x+15)[/tex]
Expand the parenthesis to obtain,
[tex]7x^2+4x-26 + 7x^2 + 3x - 15[/tex]
Group similar terms,
[tex]7x^2+7 {x}^{2} + 4x + 3x-26 - 15[/tex]
Simplify:
[tex]14{x}^{2} + 7x-41[/tex]
QUESTION 2
The given function is
[tex]f(n)=n^2-6n-16[/tex]
The zeros of this function is given by;
[tex]n^2-6n-16 = 0[/tex]
Split the middle term.
[tex]n^2-8n + 2n-16 = 0[/tex]
Factor;
[tex]n(n - 8) + 2(n - 8) = 0[/tex]
[tex](n - 8)(n + 2) = 0[/tex]
[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]
[tex]n = 8 \: or \: n = - 2[/tex]
Evaluate (b+c) if a=2,b=-5 and c= -3
It’s a good idea to get into the habit of using parentheses
when substituting numbers in for variables.
If you have parentheses in your original problem, change them to brackets as you substitute (to avoid confusion).
Now plug in the values for b and c into the problem.
So we have [(-5) + (-3)].
Simplifying inside the brackets, we get [(-8)].
So -8 is the answer.
First to answer will be the brainliest I need the answer ASAP
Mr. Stanford’s greenhouse has the dimensions shown. The volume of the greenhouse is 90 cubic yards. Find the missing dimension of the greenhouse.
Answer:
[tex]h=10\ yd[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism of the figure is equal to
[tex]V=Bh[/tex]
where
B is the area of the triangular base
h is the height of the triangular prism
Find the value of B
[tex]B=\frac{1}{2}(6)(3)=9\ yd^{2}[/tex]
we have that
[tex]V=90\ yd^{3}[/tex]
substitute the values and solve for h
[tex]90=9h[/tex]
[tex]h=90/9=10\ yd[/tex]
Answer:
B
Step-by-step explanation:
Each side of a rhombus is 30 units long. One diagonal makes a 25 degree angle with a side. What is the length of each diagonal to the nearest tenth of a unit?
Answer:
25.4 units
54.4 units
Step-by-step explanation:
Given that,
length of each side of rhombus = 30 units
interior angle = 25 x 2
= 50°
other interior angle = (360-(50x2)) / 2 = 130°
Formula to use
c² = a² + b² - ab cosC
First diagonal
√(30² + 30² - 2*30*30*cos 50)
= 25.35 u
Second diagonal
√(30² +30² - (2*30*30*(cos 130)))
= √(1800-1800cos130)
= 54.37 units
Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
Answer:
Hectometers are smaller than kilometers
and
Grams are smaller than dekagrams.
Hope it help you! :3
Answer:so sorry for give me its on accident
At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft. How long is x?
Answer:
Step-by-step explanation:
(x/12) = (15/9)
x = 12 (15/9)
x = 20
Answer:
20 feet
Step-by-step explanation:
a = 9 ft., b = 15 ft., c = 12 ft.
c/a = ?,? times b = x
12/9 = 1.3, 1.3(15)= 20
Otis had a salad for $4.50, a sandwich for $6.25, and a drink at his favorite restaurant. The tax for the entire meal was $0.54. What was the price of the drink?
Answer:
Price of the drink = $1.25
Step-by-step explanation:
4.5% * ( $4.5 + $6.25 + drink) = $0.54
4.5/100 * ( $4.5 + $6.25 + drink) = $0.54
0.045 * ( $4.5 + $6.25 + drink) = $0.54
0.045/0.045 * ( $4.5 + $6.25 + drink) = $0.54/0.045
( $4.5 + $6.25 + drink) = $12
10.75 + drink = $12
drink = $12 - $10.75
drink = $1.25
The price of the drink is $1.25
How to determine the price of the drink?The given parameters are:
Tax amount = $0.54
Salad = $4.50
Sandwich = $6.25
Let the price of the drink be x.
Given that the sales tax is 4.5%, we have:
4.5% * ( $4.5 + $6.25 + x) = $0.54
Divide both sides by 4.5%
( $4.5 + $6.25 + x) = $12
Evaluate the sum
$10.75 + x= $12
Subtract $10.75 from both sides
x = $1.25
Hence, the price of the drink is $1.25
Read more about sales tax at:
https://brainly.com/question/25783927
If point A is located at (-9,2)on the coordinate plane and point B is located at (-9,10)what is the distance between the two points?
Answer:
8 units
Step-by-step explanation:
The x coordinates don't change so you just subtract 2 from 10 to get the distance.
Answer:
8
Step-by-step explanation:
To calculate the distance d, using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 9, 2) and (x₂, y₂ ) = B(- 9, 10)
d = [tex]\sqrt{(-9+9)^2+(10-2)^2}[/tex]
= [tex]\sqrt{0^2+8^2}[/tex] = [tex]\sqrt{64}[/tex] = 8
the graphs below have the same shape. What is the equation of the blue graph?
Option: C is the correct answer.
The equation of the blue graph i.e. function G(x) is:
C. [tex]G(x)=(x+3)^2+1[/tex]
Step-by-step explanation:We are given a parent function F(x) as:
[tex]F(x)=x^2[/tex]
Now after looking at the graph of the transformed function G(x) we see that the graph of G(x) is obtained by shifting the graph of F(x) 3 units to the left and 1 units upward.
Hence, the equation of the transformed function G(x) is given by:
[tex]G(x)=(x+3)^2+1[/tex]
A box is 8 1/2 inches wide 12 3/4 inches long in 5 1/2 inches tall what is the total surface area of 3 such boxes
Step-by-step explanation:
Surface Area Formula: SA=2lw+2lh+2hw
SA is surface area. l is length, w is width, h is height. Make sure to follow PEMDAS and keep multiplication together before adding.
Now substitute values
2(12 3/4*8 1/2)+ 2(12 3/4 * 5 1/2)+ 2(5 1/2*8 1/2)
SA=450.5 inches squared
To find the total surface area of three identical boxes with given dimensions, calculate the surface area of one box using the formula for a rectangular prism and then multiply by three. The total surface area of three boxes is 1351.5 square inches.
Calculating the Total Surface Area of Three Boxes
The question involves finding the total surface area of three identical boxes, each with the dimensions 8 1/2 inches wide, 12 3/4 inches long, and 5 1/2 inches tall. To calculate the surface area of one box, we use the formula for surface area of a rectangular prism:
SA = 2lw + 2lh + 2wh
where SA is the surface area, l is the length, w is the width, and h is the height. Convert fractions to decimals for easy calculation:
Width (w) = 8.5 inches
Length (l) = 12.75 inches
Height (h) = 5.5 inches
Applying the dimensions:
SA = 2(12.75)(8.5) + 2(12.75)(5.5) + 2(8.5)(5.5)
Calculate and add up the areas for each pair of sides:
SA = 2(108.375) + 2(70.125) + 2(46.75)
SA = 216.75 + 140.25 + 93.5
Sum to find the total surface area for one box:
SA = 450.5 square inches
To find the total surface area for three boxes, multiply the surface area of one box by 3:
Total SA = 450.5 * 3
Total SA = 1351.5 square inches
The total surface area of three such boxes is 1351.5 square inches.
..........................
Answer:
jkdnfj dsbnjhfvbdsybvkdsbfvbhjvfblvsdjvdshjkvsdbhjkvndhjs
Step-by-step explanation:
A fruit punch contains 20% fruit juice is combined with 100% fruit juice how many ounces of each should be used to make 40oz of a mixture that is 60% fruit juice
Final answer:
To make a 40-ounce mixture that is 60% fruit juice, equal amounts (20 ounces each) of 20% fruit juice and 100% fruit juice should be used.
Explanation:
Calculating the Fruit Juice Mixture
To solve this problem, we'll use a system of equations. Let's assume that the amount of 20% fruit juice used is x ounces, and the amount of 100% fruit juice used is y ounces. We are trying to make 40 ounces of a mixture that is 60% fruit juice.
First, the total amount of the mixture should be 40 ounces:
x + y = 40
Second, the total percentage of fruit juice in the mixture should be 60%:
0.20x + 1.00y = 0.60 * 40
Now, let's solve these equations step-by-step:
From the first equation, we can say y = 40 - x.
Substitute y in the second equation: 0.20x + 1.00(40 - x) = 24.
Simplify: 0.20x + 40 - x = 24.
Combine like terms: 40 - 0.80x = 24.
Subtract 40 from both sides: -0.80x = -16.
Divide both sides by -0.80 to find x: x = 20.
Substitute x back into y = 40 - x to find y: y = 20.
Therefore, to achieve a 60% fruit juice mixture, 20 ounces of the 20% fruit juice and 20 ounces of the 100% fruit juice should be combined.
Number 36 please for geometry
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
solve the equation
-84= 6(p-8)
Answer:
p=-6
Step-by-step explanation:
-84/6=p-8
-14=p-8
p=-6
I will give brainliest please help
Answer:
828
Step-by-step explanation:
a poster is 8in by 6in what are the dimensions if the poster is enlarged by a factor of 7/2
Answer:
[tex]21\ in[/tex] by [tex]63\ in[/tex]
Step-by-step explanation:
we know that
To find the dimensions of the enlarged poster, multiply the original dimensions of the poster by the scale factor
so
[tex]18(\frac{7}{2})=63\ in[/tex]
[tex]6(\frac{7}{2})=21\ in[/tex]
therefore
The dimensions of the enlarged poster are [tex]21\ in[/tex] by [tex]63\ in[/tex]
In the solution of the equation 5-3x=2x+9,3x is added to the equation first. Which of the following should be done next?
Answer:
the correct answer is -9
Step-by-step explanation:
Does the point (3,-1) lie on the circle (x+1)2 +(y-1)2=16?
Final answer:
After substituting the x and y values of the point (3,-1) into the circle's equation, it is determined that (3,-1) does not lie on the circle since the equation does not hold true.
Explanation:
To determine if the point (3,-1) lies on the circle given by the equation [tex](x+1)^2 + (y-1)^2[/tex]=16, we must substitute the x and y values of the point into the equation and see if the equation holds true.
Let's plug in x = 3 and y = -1:
[tex](3+1)^2 + (-1-1)^2[/tex]= 16
[tex](4)^2 + (-2)^2[/tex] = 16
16 + 4 = 20
Since 16 + 4 does not equal 16, the point (3, -1) does not lie on the circle
What does this mean I am really stuck please help me
The ratio is how much something has, comparative to another thing.
So, for every 10 apples, there are 4 oranges (first blank). Therefore, if there is half, five, of the apples, there are two (second blank), half of four, oranges. And, if the number of oranges tripled (12), there will be triple apples, which is 30 (third blank).
Answer: 10:4, 5:8, 1:12
Step-by-step explanation:
So for apples it goes my 10 then to 5 right? So the next one must be 1
For orange the first number they gave u is 4 and the 3rd number is 12. If u look in the multiplication table it goes like 4,8,12, ect.
Name the following in the figure shown below the base or bases, the part labeled PQ and the figure itself
A circle, radius, sphere
B circle, diameter, cylinder
C none, radius, cylinder
D none, diameter, sphere
Answer: The answer is B because
The Circumference of a circle or a sphere is equal to 6.2832 times the Radius. The Circumference of a circle or a sphere is equal to 3.1416 times the diameter.
What is the product of 35.263 and 0.29
The product of 35.263 multiplied by 0.29 is 10.22627 or approximately 10.2
In mathematics, the 'product' is the result you get from multiplying numbers together. The product of 35.263 and 0.29 is calculated by multiplying the two numbers together, resulting in 10.22627.
Explanation:The product of 35.263 and 0.29 can be found by simply multiplying these two numbers together. In mathematics, the term 'product' refers to the result obtained by multiplying two or more numbers together. So, to find the product of 35.263 and 0.29, you just need to multiply these two numbers:
35.263 * 0.29 = 10.22627
Therefore, the product of 35.263 and 0.29 is 10.22627.
Learn more about Product of Multiplication here:https://brainly.com/question/31670943
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Jellybeans cost $0.80 per pound. Howard buys 412 pounds of jellybeans for himself and 1 pound for his friend. What is the total cost of the jellybeans Howard buys?
(A.) $4.00
(B.) $4.40
(C.) $4.50
(D.) $4.60
412 pounds for him + 1 pound for his friend = 413 total pounds x $0.80 per pound = $330.40
Sorry, I don’t see this as an answer choice.
Answer:
I am assuming you meant to say '4' instead of '412'. In which case the answer is A.
Step-by-step explanation:
4 + 1 x .80 is 4.00 even. Good luck in your endeavors!
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
Write a function to model the amount in his account, A, over t years, assuming he makes no other deposits or withdrawals. Write your function in the form A=P(1 +r)^t
2Points
Use the math editor to write your function.
Answer the question in complete sentences.
Hint:
P is the initial amount in the account.
Change the interest rate from a percent to a decimal by moving the decimal 2 places to the left and substitute this number in for r.
Answer:
[tex]A=\$150(1.05)^{t}[/tex]
Step-by-step explanation:
we know that
The compound interest formula for this problem is equal to
[tex]A=P(1+r)^{t}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods in years
in this problem we have
[tex]P=\$150\\ r=5\%=0.05[/tex]
substitute in the formula above
[tex]A=\$150(1+0.05)^{t}[/tex]
[tex]A=\$150(1.05)^{t}[/tex]
help please asap!!!!!!!!!!!!!!
Answer:
2w-4
Step-by-step explanation:
That is your answer. The word twice means 2 and decreased means minus. So your answer is 2w-4.
What is the answer to this
Answer:
The answer I would choose is C
Hope this helped :)
Answer:
B
Step-by-step explanation:
Multiplying f(x) by g(x)
= (2x² + x - 3)(x + 2)
Each term in the first factor is multiplied by each term in the second factor, that is
x(2x² + x - 3) + 2(2x² + x - 3) ← distribute both parenthesis
= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms
= 2x³ + 5x² - x - 6 → B
Alicia´s gross monthly pay is 1,700. Alicia pays 1.25% of her monthly salary for Medicare. how much dose she pay
Answer:
$21.25
Step-by-step explanation:
1700 x 1.25% = 1700 x 0.0125 = 21.25
So Alicia's paying $21.25 of her monthly salary to Medicare.
Answer:
$21.25
Step-by-step explanation:
If Alicia´s gross monthly pay is 1,700 and she pays 1.25% of her monthly salary for Medicare, she would pay $21.25.
In order to find this, you must multiply the gross monthly pay by the percent.
1,700 x 1.25 = 21.25
Can someone please help ASAP???
Answer:
y = -5
Step-by-step explanation:
To solve this, we simply plug in 4 into x and then solve for y. We have:
[tex]-3x+9y=-57\\[/tex]
Now we put 4 into x and do some algebra and solve for the value of y:
[tex]-3x+9y=-57\\-3(4)+9y=-57\\-12+9y=-57\\9y=-57+12\\9y=-45\\y=\frac{-45}{9}\\y=-5[/tex]
So y = -5
Arthur is creating a garden in his backyard. He has less than 250 square yards of space to use. He plans to use 25 square yards to plant flowers. He plans to divide the remaining space into plots of equal size for vegetables. Each vegetable plot will be 30 square yards. How many plots of equal size can Arthur plan for vegetables? PLEASE HELPPPPPP!!
7 because subtract 25 from 250 the divide 225 by 30 to get 7.5 so he can only use 7 square yards