Answer: The width of the border is 4 inches
Step-by-step explanation: The paper frame has its dimensions given as 20 inch by 24 inch. That means the area of the paper frame would be;
Area = L x W
Area = 20 x 24
Area = 480 square inches.
However, the photo itself covers an area of 320 square inches of this total surface area. If the photo has a uniform border, that means the photo and the paper frame are best described as congruent parallelograms (similar rectangles).
The ratio of the area of both paper frame and photo is given as;
Ratio = 480 : 320
Ratio = 3 : 2
When the length of the photo frame is given as 24, the length of the photo would be
3/2 = 24/L
L = (2 x 24)/3
L = 48/3
L = 16
Having calculated one side of the photo as 16 inches and the area has been given as 320 square inches, the other side of the photo is now derived as;
Area = L x W
320 = 16 x W
320/16 = W
20 = W
The dimensions of the paper frame is given as 24 inches and 20 inches, while those of the photo is given as 20 inches by 16 inches. The difference in both dimensions is 4 inches on either side (24 - 20 = 4, and 20 - 16 = 4)
Therefore the width of the border is 4 inches
Coordinates of a Pre-image
The segments shown are dilations of each other about
the origin. Which statement could be true?
O
The coordinate (1, 0) is from a dilation using the
scale factor of
O
(1,0)
(5,0)
O
The coordinate (5,0) is from a dilation using the
scale factor of 4.
The coordinate (1, 0) is from a dilation using the
scale factor of 5.
The coordinate (5,0) is from a dilation using the
scale factor of
O
Answer:
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Step-by-step explanation:
this answer would be A. The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
hope this helps
Gwen bought 4 books about plants and 9 books about fish. She also bought 8 science magazines. Each book cost $12 and each magazine cost $5. How much did Gwen spend in all?
PLZZZZZZZZ HELP U WILL GET 20 POINTS!! AND BRAINLIST!!
Answer:
196
Step-by-step explanation:
12*13+8*5
Answer:
$196
Step-by-step explanation:
First, you have to know how many total there are for each. In total, there are 13 books and 8 magazines. We also need to know how much all of these cost. So, you multiply 13 by 12 to find the total cost of the books. 13 books times 12 dollars each is $156. Now, we do the same for the magazines. 8 magazines times 5 dollars each is $40. To find how much she spent in all, you have to add the two numbers.
$156 plus $40 is $196.
What is 25% of what number is 13?
Answer:
52
Step-by-step explanation:
Of means multiply and is means equals
25% * W = 13
Changing to decimal form
.25W =13
Divide each side by .25
.25W/.25 = 13/.25
W =52
What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum.
Given:
[tex]\sum_{k=3}^{6}(-2 k+5)[/tex]
To find:
The sum of the series.
Solution:
[tex]$\sum_{k=3}^{6}-2 k+5[/tex]
Substitute k = 3, 4, 5 and 6.
[tex]$=[-2 (3)+5] +[ -2 (4) +5]+[-2 (5)+5]+[-2 (6)+5][/tex]
[tex]$=[-6+5] +[ -8 +5]+[-10+5]+[-12+5][/tex]
[tex]$=[-1] +[ -3]+[-5]+[-7][/tex]
Apply minus plus rule: [tex]+(-a)=-a[/tex]
[tex]$=-1 -3-5-7[/tex]
[tex]$=-16[/tex]
[tex]$\sum_{k=3}^{6}-2 k+5=-16[/tex]
Therefore the sum of the series is -16.
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
The difference of the circumference of the pie container and pie is 6.3 inches.
Step-by-step explanation:
Given,
The radius of the pie container (R) = 9 in
The radius of the pie (r) = 8 in
To find the difference of the circumference of the pie container and pie.
Formula
The circumference of a circle = 2πr
Now,
The circumference of the pie container = 2×π×9 = 18π in
The circumference of the pie = 2×π×8 = 16π in
Hence,
The difference = 18π-16π = 2π = 6.28 = 6.3 inches (approx)
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
0 32/3pi cm
O 8picm
o 64/3pi cm
O 16pi cm
Answer:8picm3
Step-by-step explanation:
A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?
Answer:
20,349x100,947
Step-by-step explanation:
A ON EDGDE
The expression which represents the number of possible groups of students that can fill the 11 available slots is 20,349 · 100,947.
Given that:
A high school is hosting a blood drive.
The problem can be done by using the concept of combinations.
Total number of students in Mr. Bentley’s class = 21
Number of slots available for Mr. Bentley’s class = 5
The number of possible groups that 21 students who can fill 5 slots are ²¹C₅.
Total number of students in Mr. Curren’s class = 23
Number of slots available for Mr. Curren’s class = 6
The number of possible groups that 23 students who can fill 6 slots are ²³C₆.
The number of possible groups is:
N = (²¹C₅) (²³C₆)
= [21! / (5!)(21-5)!] [23! / (6!)(23-6)!]
= (20349) (100947)
Hence the required expression is a.
Learn more about Combinations here :
https://brainly.com/question/29595163
#SPJ2
Two classmates got together over the weekend to do their assigned History reading. Savannah can read 1 page per minute, while Liam can read 3 pages per minute. When they met, Savannah had already read 62 pages, and Liam had already gotten through 2 pages. After a while, they both read the same number of pages. How many pages had each one read? How long did that take?
Answer:
The had read the books for 12 minutes.
Step-by-step explanation:
Let the number of minutes be x.
Tess = 51 + 1x
Ronald = 15 + 4x
When both read the same number of pages :
51 + 1x = 15 + 4x
3x = 36
x = 12
What is the value of x?
x = 41 cm
Here is why:
For this question we have to use the pythagorean theorem, which is used for right triangles. The hypotenuse will always be the last in this theorem.
[tex]a^2+b^2=c^2[/tex]
Plug in.
[tex]9^2+40^2=c^2[/tex]
[tex]81+1,600=c^2[/tex]
Add together.
[tex]1,681=c^2[/tex]
Now we will find the square root of 1,681, since c is squared.
[tex]\sqrt{1,681}[/tex]
= 41 cm
I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!
If this problem is to be solved by substitution, which is a correct step?
y = 4x - 6
2x - 3y = 8
A) 2x - 12x + 18 = 8
B) 2x - 12x - 18 = 8
C) 2x - 4x + 6 = 8
D) 2x + 12x + 18 = 8
Answer:
A, the first one
Step-by-step explanation:
Answer:
I BELIEVE THAT THE ANSWER IS A.
please help me answer this!!
Answer:
Step-by-step explanation:
purple goes to the first
green goes to the third
teal goes to the last
orange goes to second
Marissa can plant 10 seeds in 15 hour. She divides to find the number of seeds she can plant per hour, but she makes a mistake. Three of these reasons explain why her answer must be wrong. Which does NOT?
Answer:
you can not plant 1 and a half of a seed
Step-by-step explanation:
Answer: the answer is the answer cannot be a whole number
Step-by-step explanation:
your welcome
complete the sentence about pattern G and pattern H. use the table to help
Answer:
Step-by-step explanation:
4 times
Each term of G is 4 times the corresponding terms of H.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
we have a table between G and H.
So, take two pair of G and H as (8, 2) and (16, 4).
Then, the slope
= (4 -2)/ (16- 8)
= 2 / 8
= 1/4
Thus, the G is 4 times the corresponding terms of H.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ5
what does two plus two
Answer: 4
Step-by-step explanation: and then 4 plus 4 equals 8 :)
Answer: it's four
2+2=4
What is the value of y in this simplified expression?
11^-4/11^-8=11^y
a.-12
b.2
c.4
d.32
Answer:
choice C. y = 4
Step-by-step explanation:
Simplify 11^-4 / 11^-8
= 11^(-4 - (-8) ) = 11^(-4+8) = 11^4
so
11^4 = 11^y
means y = 4
13>3+2x
aanswer plz !
Hope this will help u...:)
3x + 14 = 3,,,,,,,,,,,,
Answer:
-11/3
Step-by-step explanation:
an angle measures 57.8° more than the measure of its complementary angle. what is the measure of each angle
Answer:
57.8 and 32.2 degrees
Step-by-step explanation:
Complementary angles = 90 degrees
90-57.8= 32.2
We read 21 pages of my English book yesterday. Today, we read 17 pages. What is
the total number of pages we read?
Answer:
38 pages
Step-by-step explanation:
Add 21 + 17 pages
a cylindrical tank has a diameter of 5 feet and the distance between the circular bases is 6 feet. find the lateral area of the tank.
Answer:
Lateral area = 94.2 ft²
Step-by-step explanation:
The formula for lateral area of cylinder is given as;
A_l = 2πrh
Where;
r is radius
h is height
Now, we are told that the distance between the 2 circular bases is 6ft. Thus, the height is 6ft.
Diameter is given as 5ft.
We know that radius = diameter/2
Thus;radius;r = 5/2 = 2.5 ft
So, lateral area = 2πrh = 2π x 2.5 x 6 = 94.2 ft²
Lateral area = 94.2 ft²
at the flea market, erin buys a phone that is 22% off and gloves that are reduced to $19.97. erin spends a total of $48.52. let g represent the cost of the phone. write an equation that correctly represents the cost of erin's shopping trip.
Answer:
g is approximately $129.77
Step-by-step explanation:
.22g+19.97=48.52
.22g=28.55
28.55/.22=129.77
Answer:
The cost of the phone: $28.55
The total price of the phone: $129.77
48.52 - 19.97 = 28.55
The phone was marked off by 22% so you divide by 22% to get the total cost of the phone, just incase you needed that.
Hope this helps <3
Identify the fungus type pictured below.
Public Domain (2 points)
A.Sac fungi
B.Zygote fungi
C.Club fungi
D.Imperfect fungi
Answer: sac fungi
Step-by-step explanation:
HELP ASAP
Select the correct answer.
D = matrix (1 2 -3
2 -6 1
4 2 5)
is the coefficient matrix of a system of linear equations and
Dx = matrix ( 46 2 -3
-41 6 1
-11 2 5)
What is the solution of the system of linear equations represented by D and Dx?A.
(5, 4, -11)
B.
(5, 7, -9)
C.
(6, 7, -11)
D.
(6, 4, -9)
The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.
Explanation:To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).
By comparing the results of Dx and the given matrix, we can write the system of equations as:
1x + 2y - 3z = 46; 2x - 6y + z = -41; 4x + 2y + 5z = -11.
By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.
Learn more about System of Linear Equations here:https://brainly.com/question/33609849
#SPJ11
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).
Explanation:
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ
Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:
After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.
Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).
Learn more about Solution of Linear Equations here:https://brainly.com/question/34777099
#SPJ3
An experiment involves rolling a die and drawing a card from a standard deck of 52 cards. What is the probability that the die lands on 4 and the card is a heart?
The probability of rolling a die and it landing on 4 while also drawing a heart from a deck of 52 cards is 1/24.
The experiment involves rolling a die and drawing a card from a deck. The probability of rolling a specific number, like a 4, on a fair six-sided die is 1/6 since there are six possible outcomes, each equally likely. When drawing a card from a standard 52-card deck, the probability of drawing a heart is 1/4, because there are four suits and each suit has the same number of cards (13).
To find the combined probability of both independent events occurring, we multiply their individual probabilities: (1/6) for rolling a four and (1/4) for drawing a heart, which equals (1/6) * (1/4) = 1/24. Therefore, the probability of the die landing on a 4 and drawing a heart is 1/24.
calculate the number in the middle of 11 and 24
Answer:
17.5
Step-by-step explanation:
11 + 24 = 35 /2
Answer:
17.5.
Step-by-step explanation:
The total number of integers from 11 to 24 = 13 + 1 = 14.
So the 2 middle numbers are 17 and 18.
Number in the middle = 17.5.
This is the median of the list of numbers.
Which expressions are equivalent to -6+4q+(-6q)?
Choose all answers that apply:
(Choice A)
A
-6(q+1)-4q
(Choice B)
B
2(q-3)
(Choice C)
C
None of the above
Brainiest for whoever answers first, if cannot do brainliest will 5 stars and heart
Answer:
I believe non of the above.
Step-by-step explanation:
Answer: C- None of the above
Step-by-step explanation:
Which expression is equivalent to 1/3 + 3/4 + 2/3
Answer:
7/4 or 1.75 or 1 3/4
Step-by-step explanation:
Sonjia bought a combination lock that opens with a 4-digit number created with the numbers 0 through 9. The same digit cannot be used more than once in the combination. If Sonjia wants the last digit to be 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
a
84
b
504
c
60,480
d
3,024
Answer:
b. 504
Step-by-step explanation:
In this case, we have to apply the permutation formula, since the order is important and it cannot be repeated. The formula is as follows:
nPr = n! / (n-r)!
From 0 to 9, there are 10 digits, but we must remember that the number 7 has already been used and cannot be repeated, therefore n = 9. And they are 4 digits but only 3 are needed, therefore r = 3.
Replacing:
9P3 = 9! / (9-3)!
nPr = 504
Therefore the answer is b.
What is sum 2/3 + 1/6?
Answer:
5/6
Step-by-step explanation:
convert 2/3 to 4/6 by multiplying by 2
4/6 + 1/6 = 5/6
Answer:
The answer is [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You need to find the GCF which is 6 so multiply the 2/3 to become 4/6 from then you can add the numerators.
Which pyramid has the greatest surface area?
Pyramid
Answer:
the greatest surface is A
Step-by-step explanation:
Answer:
answer is A have a great day
Step-by-step explanation: