The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?
Answers
Answer:
Step-by-step explanation:
Rectangle:
Length : Width = 3 : 5
Length = 3x
Width = 5x
Perimeter = 64
2*(length + width) = 64
2*(3x + 5x) = 64 {Add like terms}
2 * 8x = 64
16x = 64 {Divide both sides by 16}
x = 64/16
x = 4
Length = 3*4 = 12 units
Width = 5*4 = 20 units
Answer:
Step-by-step explanation:
solution;
here
let us suppose the ratios of length and width of rectangle be 3x and 5x
if the perimeter of rectangle is 64
we know that,
perimeter of rectangle=2 (l + w)
or, 64=2(3x +5x)
or, 64=2(8x)
or, 64=16x
or, x=4
therefore length=3x
3*4=12
width=5x
5*4=20
Related Questions
Find the value of the constant m √150 - √12m + √54 = 0
Answers
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
3.
In each box there are 22 eggs. How many eggs do I have if I have 12 boxes?
Answers
7>x/4 solve for x
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Answers
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x28 > x
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete
Answers
21in. = _____ft. terminating or repeating
Answers
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
find the unknown size of angle
Answers
Answer:
x = 60
2x = 120
2x + 30 = 150
2x - 30 = 90
Step-by-step explanation:
2x + 2x - 30 + 2x + 30 = 360
2x + 2x + 2x + 30 - 30 = 360
6x + 0 = 360
6x = 360
x = 360 / 6
x = 60
2x
= 2 x 60
= 120
2x + 30
= 120 + 30
= 150
2x - 30
= 120 - 30
= 90
Can u help solve this problem
Answers
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
42°
Х
please help with this
Answers
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
Can someone help me on this math question its confusing ill give brainly when right!!!
Answers
[tex]\huge\mathsf\green{ANSWER}:—[/tex]
The coefficients are:-
-4,-6
hope it would be helpful for youAnswer:
-4,-6
Step-by-step explanation:
coefficient is an integer that is multiplied with the variable of a single term or the terms of a polynomial
Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no
Answers
Answer:
(x, y) → (y, -x)
Step-by-step explanation:
The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)
The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)
The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;
(x, y) → (y, -x)
The resulting transformation used will be (x, y) -> (y, -x)
Transformation of coordinatesTransformation are rules applied to an object to change its orientation
For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage
The coordinate of A is (2, 5) while that of A' is (5, -2).
From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.
Hence the resulting transformation used will be (x, y) -> (y, -x)
Learn more on transformation here: https://brainly.com/question/17311824
of (3, -2) reflected across the line x = 1 is?
Answers
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x
Answers
Answer:
x = 14.63
Step-by-step explanation:
what is the domain of the function in the graph?
Answers
Answer:
6AJNSDJN
Step-by-step explanation:
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answers
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answers
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Answers
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
Helpppppp pleaseeee anyoneeeee!!!!!
Answers
Answer:
Create a function representing number of published articles per month:
[tex]a=12m+60[/tex]
Where:
a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)Now substitute in the values of m to get the a-value:
m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168Simplify the following expression.
Answers
Answer:
B. 51
Step-by-step explanation:
first do inside the parenthesis
83 - 4 * (6-4)^3 = 83 - 4 * (2)^3
now multiply 4 and the third power of 2 (the third power of 2 is 2x2x2=8)
83 - 4 * (2)^3 = 83 - 32 subtract and the answer is 51
Answer:
[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]
ANSWERRRR IF UR COOL!! Plssss ILL MARK BRAINLEST Ty!!! So much ilyyyyyyy
Answers
Answer number 3. Since it's obvious in the picture.
Answer:
-2 and -1
Step-by-step explanation:
Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answers
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answers
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
find the surface area of the cylinder and round to the nearest tenth
Answers
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answers
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?
Answers
Answer:
43.49
Step-by-step explanation:
let his normal hourly rate be x
16x+7x/2=848
39x/2=848
x=848 ÷ 39/2
=43.48717
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answers
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
If g(x) = (x + 2)/3, find g(-8).
Answers
Answer:
-2
Step-by-step explanation:
Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2
Answer:
g(- 8) = - 2
Step-by-step explanation:
To find g(- 8) substitute x = - 8 into g(x) , that is
g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Answers
Answer:
A) Histogram
Step-by-step explanation:
A) The first step would be to look at the purpose and use for each type of plotting method;
Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.
Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values
Box Plot: Summerizes a set of data measured on an interval scale.
Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete
B)
To create your histogram you first have to create a frequency table like the one below;
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
That's how it's done!
Answer:
this is only for part a: a histogram
Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier
Which table represents a function?
Answers
Answer:
The last one
Step-by-step explanation:
All the other tables have repeating x values
I hope this helps!
pls ❤ and give brainliest pls
someone please help!!
Answers
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1
Answers
Answer:
-4x^3 - 4y^2
Step-by-step explanation:
-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1
= -4x^3 -4y^2
