The dimensions of the scale copy of the rectangle are given by 8 inches and 16/3 inches respectively.
What is a rectangle?
A rectangle is a closed geometric figure with opposite sides parallel and equal to each other. In a rectangle, all the angles are equal and right to each other. The diagonals of a rectangle bisect each other.
Calculating the dimensions of the scale copy
Given length and width of a rectangle are 12 inches and 8 inches respectively
Lexi draws a scale copy of this rectangle using scale factor ⅔.
The new dimensions of the scale copy of the rectangle are given below:
Length Of the scale copy of rectangle = 12 × (⅔) = 8 inches
Width Of the scale copy of rectangle = 8 × (⅔) = 16/3 inches
Hence, the dimensions of the scale copy of the rectangle are 8 inches and 16/2 inches respectively.
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Joan Arlington has twice as much money invested at 5% simple annual interest as she does at 4%. If her yearly income from the two investments is $154, how much does she have at each rate? equation
Answer:
1100
Step-by-step explanation:
The equation 20 + 5x = y represents the amount of money in a bank
account, y, after x weeks of deposits. Which equation represents the
same equation, solved for x
Answer:
B
Step-by-step explanation:
Find the slope of the line y=1/3x+3/2
Answer:
1/3
Step-by-step explanation:
The slope is 1/3
Answer:
slope:1/3
y intercept(just an extra!):(0,-3)
Step-by-step explanation:
Hope I could help! Stay safe and drink water<3
Use the following cell phone airport data speeds (Mbps) from a particular network. Find P40
0.4
1.1
0.2
0.6
1.7
3.5
10.7
0.2
0.6
1.9
4.4
10.8
0.3
0.7
2.1
5.2
11.1
0.3
0.7
2.5
6.8
12.2
0.3
0.8
2.6
7.8
12.5
0.3
0.9
2.6
8.8
14.6
0.4
0.4
1.1
2.8
2.9
8.8
14.6
9.8
15.4
0.40
1.3
1.4
3.2
3.4
9.9
10.1
15.5
26.7
P40= ___ Mbps
The 40th percentile is (1.6 + 1.6) / 2 = 1.6
What is percentile ?
In statistics, a k th percentile is a score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls.
The data are in ascending order.
Compute the position of the pth percentile (index i):
i = (p/100)*n
i = (40/100)*50
i = 20
The index i is an integer ⇒ the 40th percentile is the average of the values in the 19th and 20th positions (1.6 and 1.6 respectively).
Therefore, the 40th percentile is (1.6 + 1.6) / 2 = 1.6
P40=1.6 Mbps
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On the way to work Stan can drive his 60-mile commute in 1 hour. However, because of traffic, it takes 3 hours to get home. What is his average speed for the round trip?
A. 30 miles per hour
B. 20 miles per hour
C. 60 miles per hour
D. 40 miles per hour
PLEASE answer i’m begging you
Answer:
C.
Step-by-step explanation:
The amount of money she has at the beginning of the week.
Evaluate each combination.
The general manager of a fast food restaurant chain must select 6 restaurants from 11
for a promotional program. How many different ways can this be done?
O 332,640
O 462
O 66
O 720
There are 462 different ways can be done for a promotional program.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Selection of menu, food, clothes, subjects, the team are examples of combinations.
The formula for combinations is: nCr = n!/[r! (n-r)!]
nCr represents the number of combinations from “n” objects taken “r” at a time.
given that
select 6 restaurants from 11.
nCr = n!/[r! (n-r)!]
we are looking at a Combination of 11 things takes 6 at a time, or 11C6
11C6=11!/(6!5!)
11C6=11×10×9×8×7 / 5×4×3×2×1.
11C6=55440 / 120
11C6=462
Thus, there are 462 different ways in which the manager can choose 6 restaurants at a time out of 11.
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You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy?
This is hard and long. Good Luck.
There are three pairs of faces with surface areas of 75.3 square inches, 111.384 square inches and 35.818 square inches.
The surface area of the six faces of the parallelepiped is equal to 444.956 square inches.
The real surface area is between 214.9 square inches and 668.3 square inches.
The mistaken surface area found by Jayden is 443 square inches.
How to determine the surface area of a right angled parallelepiped
In this problem we find a right angled parallelepiped whose dimensions are known. The surface area of the parallelepiped is the sum of the areas of the six faces. There are three pairs of faces with the following dimensions:
Pair 1
A' = (4.92 in) · (15.3 in)
A' = 75.276 in²
Pair 2
A'' = (15.3 in) · (7.28 in)
A'' = 111.384 in²
Pair 3
A''' = (4.92 in) · (7.28 in)
A''' = 35.818 in²
There are three pairs of faces with surface areas of 75.3 square inches, 111.384 square inches and 35.818 square inches.
The surface area of the six faces of the parallelepiped is equal to 444.956 square inches.
The range of measures for the area of the parallelepiped is represented by the following inequality:
6 · 35.818 in² < 444.956 in² < 6 · 111.384 in²
214.908 in² < 444.956 in² < 668.304 in²
The real surface area is between 214.9 square inches and 668.3 square inches.
Lastly, the mistaken surface area found by Jayden is:
A = 2 · (4.92 in) · (15.1 in) + 2 · (111.384 in²) + 2 · (35.818 in²)
A = 442.988 in²
The mistaken surface area found by Jayden is 443 square inches.
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Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
Anna wants to purchase advertising space in the school newspaper. Each square inch of advertisement space sells for $3.00. She wants to purchase a rectangular space with length and width in the ratio 3:2 and she has up to $50.00 to spend. What are the dimensions of the largest advertisement she can afford to purchase?
(please explain how you got the answer and show me some work!!)
Answer:
The largest advertisement she can afford has dimensions of 5 in x 10/3 in
Step-by-step explanation:
Assume the dimensions of the advertisement are L and W.
The area of the advertisement is:
A = L.W
The ratio length/width is 3:2, thus the proportion is:
[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]
Thus:
[tex]\displaystyle L=\frac{3}{2}W[/tex]
The area is:
[tex]\displaystyle A=\frac{3}{2}W^2[/tex]
Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:
[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]
Simplifying:
[tex]\displaystyle C=\frac{9}{2}W^2[/tex]
This cost can be a maximum of $50, thus:
[tex]\displaystyle \frac{9}{2}W^2=50[/tex]
Multiplying by 2:
[tex]9W^2=100[/tex]
Solving for W:
[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]
[tex]\displaystyle W=\frac{10}{3}[/tex]
And
[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]
L = 5
Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in
the difference between eight and twice a number x is four
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]Let\ the\ number\ be\ x\\Hence,\\8-2x=4\\-2x=4-8\\-2x=-4\\x=\frac{-4}{-2} \\x=\frac{4}{2} \\x=2[/tex]
Answer:
Yes
Step-by-step explanation:
2 x 4 = 8
8 / 4 = 2
Pleaseee help ASAP it’s due in 10 minutes
Answer:
y= 3x + 6
Step-by-step explanation:
y = mx + b
m = slope
b= y intercept
so the equation is y= 3x + 6
Hope this helps, if so please mark brainlist, peace and love
A cylinder has a base diameter of 20 meters and a height of 5 meters. What is its
volume in cubic meters, to the nearest tenths place?
Volume = PI x r^2 x h
r -s 1/2 the diameter ( 20/2 = 10)
Volume = 3.14 x 10^2 x 5
Volume = 3.14 x 100 x 5
Volume = 3.14 x 500
Volume = 1570 cubic meters
The answer is 1570.8
I need help ASAP
Mateo earns a yearly salary of 40,000. Rico earns a yearly salary of 51,000. Mateo will receive a salary increase of 3,500 per year, and Rico will receive a salary increase of 2,800 per year
Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?
A: 40,000+3,500n=51,000+ 2,800
B: 40,000+3,500n=51,000n+ 2,800n
C: 40,000n+3,500=51,000n+ 2,800
D: 40,000+3,500n=51,000n+ 2,800
Joyce saved $130 on an item that was 25
%
off. What was the original price?
Answer:
$520
Step-by-step explanation:
If it was 25% off and she saved 130
then 130 is the 25%
130*4 = 520
help please and hurry!
What would be the result if a was increased by 25 percent
Answer: formula - (x/4)+x
Step-by-step explanation:
Since there are no numbers, here is just the formula and what it means :)
(x/4)+x
(btw x is whatever your number is)
so what you need to do first is to divide your number by 4 because 25% is 1/4 of 100%
and then add that number that you just got to your number.
Its a little confusing to say out in words, so here is an example using 24
24/4=6
24+6=30
and heres another example using 50
50/4=12.5
50+12.5=62.5
I hope this helped! <3
please help me asap
Water freezes at 0 degrees Celsius, which is the same as 32 degrees Fahrenheit. Also water boils at 100 degrees Celsius, which is the same as 212 degrees Fahrenheit. (Use fractions in your answers.)
(a) Use the freezing and boiling points of water to find a formula expressing Celsius temperature C as a linear function of the Fahrenheit temperature F.
I saw the same question but it kept saying the answers were wrong, so
The required equation which represents the expression of Celsius temperature as a linear function of the Fahrenheit temperature is; C = (9/5)F - 57.6.
What is the linear equation expressing the Celsius temperature in terms of the Fahrenheit?It follows from the task content that the linear equation which relates both the Celsius and Fahrenheit temperature is to be determined.
On this note, the two points which can be inferred to describe the linear relationship are;
(32, 0) and (212, 100)
Hence, the slope of the linear equation;
m = (C2 - C1)/(F2 - F1)
m = (212 - 32)/(100 - 0)
m = 180/100
m = 9/5
Hence, from the point-slope equation form; (y-y1) = m (x -x1).
We have; (C - 0) = (9/5) (F - 32)
C = (9/5)F - 57.6
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40) Jose and Eugene each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jose spent $70 on 7 rose bushes and 4 geraniums. Eugene spent $50 on 6 rose bushes and 2 geraniums. Find the cost of one rose bush and the cost of one geranium
A) rose bush: $7, geranium: $9
B) rose bush: $6, geranium: $7
C) rose bush: $7, geranium: $5
D) rose bush: $8, geranium: $11
Answer:
I need points bro
Step-by-step explanation:
Answer: B) rose bush: $6, geranium $7
Step-by-step explanation:
Jose spent $70 on 7 rose bushes and 4 geraniums.
( 7 x $6 = $42 ) ( 4 x $7 = $28 )
$42+$28= $70
Eugene spent $50 on 6 rose bushes and 2 geraniums.
( 6 x $6 = $36 ) ( 2 x $7 = $14 )
36+14 =50
You have 72 grams of a radioactive kind of actinium. If its half-life is 6 hours, how much will
be left after 12 hours
Answer:
There will be 18 grams left after 12 hours.
Step-by-step explanation:
Half-life is the amount of time it take for a cell to turn from one condition to another.
To find the amount of grams for the first 6 hours.
72 ÷ 2= 36
Now, since 6 x 2 = 12, we need to divide 36 by 2 to find the next half-life.
36 ÷ 2 = 18
Therefore, there will be 18 grams left after 12 hours.
Hope this helps! :D
Please help algebra work needs to be shown please help
Answer: 1) x=6.92 or rounded: 6.9
take a look at the image
a pyramid is made of metal balls. the lowest layer consists of 4 by 4 balls ,the next layers of 3 by 3 and 2 by 2 and one ball at the top. every two balls that touch each other are connected with screw. how many screws are used to build this pyramid?
Answer:
total answer is a 34.
Step-by-step explanation:
4444
4444
4444
4444=18
333
333
333=12
22
22=4
Total is 34.
Answer:
answer is 96
Step-by-step explanation:
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Simplify this expression: -5(c-3d + 1)
Answer:
-5c + 15d - 5
Step-by-step explanation:
1. Distribute the -5 from outside the paranthesis to the inside.
2. Keep in mind the negative signs when you're distributing.
Answer:
-5c + 15d - 5
Step-by-step explanation:
= (-5)(c + -3d + 1)
= (-5)(c) + (-5)(-3d) + (-5)(1)
= -5c + 15d - 5
Please help me solve this problem
Answer:
Answer is D.
Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.
Hope this helped. I'm really tired rn so sorry if this wasn't the best.
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
What is the value of x?
–2x – x + 3 = –12
Answer:
x = 5
Step-by-step explanation:
-2 -1(coeffcient of -x) = -3
-3x +3 =-12
subtract 3 (the constant) from both sides
cancelling it on the left and leaving -3x = -15
divide each side by -3 leaving x and 5
x = 5
Point slope form.
Y-4=
URGENT
Factor.
4m² - 52m + 88
Answer:
[tex]4(m - 11)(m - 2)[/tex]
Step-by-step explanation:
[tex]4 {m}^{2} - 52m + 88[/tex]
[tex] = > 4( {m}^{2} - 13m + 22)[/tex]
[tex] = > 4( {m}^{2} - 11m - 2m + 22)[/tex]
[tex] = > 4(m(m - 11) - 2(m - 11))[/tex]
[tex] = > 4(m - 11)(m - 2)[/tex]