Lisa is framing a rectangular painting the length is three more than twice the width she uses 30 inches of framing material what is the length of the painting right and solve the equation
Answers
Answer:
The width is 4 inches
The length is 11 inches
Step-by-step explanation:
Let the width be x inches
Let the length be (2x+3 )inches
Perimeter= 30 inches
therefore, 2(length +breadth)= perimeter
=>2(2x+3+x)=30
=>2(3x+3)=30
=>6x+6=30
=>6x=30-6
=>6x=24
=>x=24/6
=>x=4
The width is 4 inches
The length is 11 inches
To solve this question:
First, we have to understand the concept of perimeter, and how it is calculated for a rectangle.Relating the length and the width of the triangle, and using this to solve the perimeter equation for the length.Doing this, we get that the length of the painting is: 11 inches.
Perimeter of a rectangle:
The perimeter of a polygon is the sum of it's sides.
For a rectangle, as the one given in the picture at the end of this answer, which is of the format of the painting, the perimeter is given by:
[tex]P = 2l + 2w[/tex]
Lisa is framing a rectangular painting the length is three more than twice the width.
This means that:
[tex]l = 3 + 2w[/tex]
Since we want to solve for the length, we write the width as a function of the length, thus:
[tex]2w = l - 3[/tex]
She uses 30 inches of framing material
This means that the perimeter is of 30 inches, that is:
[tex]2l + 2w = 30[/tex]
Since [tex]2w = l - 3[/tex]
[tex]2l + l - 3 = 30[/tex]
[tex]3l = 33[/tex]
[tex]l = \frac{33}{3}[/tex]
[tex]l = 11[/tex]
Thus, the length of the painting is of 11 inches.
A similar question is found at https://brainly.com/question/21894434
Related Questions
plzz help me and explain
Answers
Answer:
the area is: 90 square inches
Step-by-step explanation:
Since you use the same amount of material to create the rectangle, that means that the area of a parallelogram has the same formula as the area of a rectangle. That is:
Area of parallelogram = base x height
In our case: 9 in x 10 in = 90 square inches
Geometry
what is the value of t?
can someone pls tell me how to figure this out?? I have some notes but it doesn't cover this.
Answers
Answer: t= 2
Step-by-step explanation:
Set them equal each other because they are the same angles.
t + 8 = 5t now solve for t.
-t -t
8 = 4t
t = 2
mr udoh invested an amount in two separate finance firms in the ratio 3:5
his profit was calculated in 8% and 10% respectively . after a year he recieved a profit an interest of 92000. caculate the total amount invested
Answers
Answer:
$994,594.59
Step-by-step explanation:
If the investments were in the ratio 3:5, the returns on those investments were ...
3×0.08 +5×0.10 = 0.74 . . . . . ratio units
This return is $92,000, so each ratio unit of investment is ...
$92,000/0.74 = $124,324.32 (and change)
The total investment was 8 ratio units, so was ...
$124,324.32 × 8 = $994,594.59 . . . . total amount invested.
_____
Check
3/8 of the invested amount earned 8%, so that interest was ...
$994,594.59×(3/8)×(0.08) = $29,837.84
5/8 of the invested amount earned 10%, so that interest was ...
$994,594.59×(5/8)×(0.10) = $62,162.16
The total interest earned was $29,837.84 +62,162.16 = $92,000.
Which digit is the hundred place in the number of 742.891
Answers
Answer:
7
Step-by-step explanation:
if you meant hundredths it would be 9, but 7 is in the hundreds place
what is the Transformation of a function?
Answers
Answer:A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. Moving the function down works the same way; f (x) – b is f (x) moved down b units.
Step-by-step explanation:
I gave you a pic to look at
Answer:
Answer:A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. Moving the function down works the same way; f (x) – b is f (x) moved down b units.
Step-by-step explanation:
what value does the 6 represent in the number 240.65
Answers
Answer:
000.60
six hundredths
The independent variable of interest in an ANOVA procedure is called a a. partition. b. factor. c. treatment. d. response.
Answers
Answer:
Option b (factor) is the correct choice.
Step-by-step explanation:
ANOVA would be used to assess whenever there were other statistically representative variations seen between results of two or even more individual (totally unconnected) categories.
Two different kinds of independent variables exist such as:
ActiveReferenceIf the explanatory variables are such an effective variable otherwise we modify the argument of the variable to test its effect on something like a specific parameter.
Certain solutions don't apply to the specified scenario. So choice B was its perfect method for that.
A trader bought 60 article for N25000 and sold them at N6000 per dozen.
(i) find the total profit
(ii) find the percentage profit
(c) Find the principal which amounts to N2736 in 3 1/2 years at 4% simple interest
Answers
Step-by-step explanation:
N6000×5=N30000
1)N30000-N25000=N5000
2)N5000÷N25000×100℅=20℅
I have to write 20 characters to ask this quesiton
Answers
Answer:
You should check off boxes 1, 2, 5, and 6
Step-by-step explanation:
These are all irrational numbers because their decimal places go on indefinitely.
The number 0.14114111411114 . . . is
Answers
Answer:
irrational
Step-by-step explanation:
Any infinite non-repeating decimal fraction is an irrational number.
15 ‒ 5x = 6x + 3 – 2x
Answers
Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
1.what is goverment .what do it mean
2. which country have the least number of people
Answers
Answer:
GOVERNMENT IS A SYSTEM OR GROUP OF PEOPLE GOVERNING AN ORGANIZED COMMUNITY, OFTEN A STATE.
VATICAN CITY HAS THE LEAST NUMBER OF PEOPLE.
Step-by-step explanation:
In which situation is it best to use a line graph?
A): when the values on both axes are numbers
B): when a grade distribution is displayed
C): when showing trends
D): when representing parts of a whole
Answers
Answer: C): when showing trends
Step-by-step explanation:
A Line graph connects different points such that it appears as a line. For this reason it is very useful in showing the trend in the movement of values overtime.
When plotting line graphs the independent variable for example 'months' is usually put on the x-axis and a dependent variable such as 'temperature' will be on the y-axis.
When plotted, the line will be able to show just how things have changed overtime such that the change is quite easy to see through the movement of the line.
write the equation of the line in slope intercept form that passes through (10,21) and (15,36)
Answers
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(36 - 21) / (15 - 10)
15/5
= 3
Next, plug the slope and a point into the equation y = mx + b to find b (y-int)
y = mx + b
21 = 3(10) + b
21 = 30 + b
-9 = b
Then, plug this into the equation, as well as the slope:
y = 3x - 9
i need alot of help. (ALGEBRA)
Answers
Answer:
Award brainliest to this answer
Step-by-step explanation:
1: Lcm is 210 and GCF is 1
2: Lcm is 12 and Gcf is 3
3: LCM is 352 and Gcf is 4
4:LCM is 840 and Gcf is 1
5: LCM 108 and Gcf is 9
6: Lcm is 660 and Gcf is 1
7: Lcm is 840 and Gcf is 2
8: Lcm is 60 and Gcf is 30
9: Lcm is 1512 and Gcf is 1
10: Lcm is 176 Gcf is 4
11: Lcm is 2030 and Gcf is 1
12: Lcm 116 and Gcf is 2
Also, I'm am rather sure in which the veracity of the entailment that this is algebra is incorrect.
The completion times for a job task range from 10.1 minutes to 19.2 minutes and are thought to be uniformly distributed. What is the probability that it will require between 12.7 and 16.8 minutes to perform the task
Answers
Answer:
The probability is [tex]P(12.7 < x < 16.8 ) = 0.45[/tex]
Step-by-step explanation:
From the question we are told that
The completion times for a job task range from 10.1 minutes to 19.2 minutes
Generally given that the completion times is uniformly distributed then the probability that it will require between 12.7 and 16.8 minutes is mathematically represented as
[tex]P(12.7 < x < 16.8 ) = \frac{ 16.8 - 12.7}{ 19.2 - 10.1 }[/tex]
[tex]P(12.7 < x < 16.8 ) = 0.45[/tex]
Express the given product as a sum or difference containing only sines or cosines.
sin (4x) sin (2x)
sin(4x) sin (2x) =________ (Simplify your answer.)
Answers
Answer:
sin(8x)
Step-by-step explanation:
assuming that you didn't mean to write it twice
exponents and power - evaluate
Answers
Answer :
7
Step-by-step-explanation :
[tex] {((343 ^{ \frac{4}{3} })) }^{ \frac{1}{4} } \\ = ( {7}^{3} ) ^{ \frac{4}{3} } ) ^{ \frac{1}{4} } \\ = ( {7}^{4} ) ^{ \frac{1}{4} } \\ [/tex]
[tex] = {7}^{1} = 7[/tex]
Which sequence is geometric?
1, 5, 9, 13,
2. 6, 8, 10,
5, 7, 9, 11,
ОО
4. 3. 16. 32
Answers
There are 4 roses in a vase of 13 flowers the rest are daisies what is the ratio of all flowers in the vase to daises
Answers
Answer:
The ratio is 13:9
Step-by-step explanation:
Since the rest of the flowers in the vase are daisies, subtract the 4 roses from the 13 flowers. 13 - 4 = 9
There will be 9 daisies in the vase in total. Then they are asking for you to put the ratio of the total flowers to the daisies.
Total Flower = 13
Daisies = 9
The ratio would be 13 to 9.
The ratio of all flowers in the vase to daises is [tex]13:9[/tex]
Let the flowers be F.Let the daisies be D.Given the following data:
Number of roses = 4 rosesNumber of flowers = 13 flowersTo determine the ratio of all flowers in the vase to daises:
First of all, we would solve for the number of daisies in the vase of flowers.
[tex]Number\;of\;daisies = 13-4[/tex]
Number of daisies = 9 daisies.
Now, we can find the ratio of all flowers in the vase to daises:
[tex]Ratio = F:D\\\\Ratio = 13:9[/tex]
Read more: https://brainly.com/question/18676621
use pythagorean theorem to find the length of the hypotenuse in the triangle shown below 11 and 60
Answers
Answer: The value of the hypotenuse is 61.
Step-by-step explanation:
So we are given a triangle with two known sides; two legs with values of 11 and 60. We have to use the Pythagorean Theorem to find the value of the hypotenuse.
The Pythagorean Theorem states that, "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
This means that:
a^2 + b^2 = c^2
leg^2 + leg^2 = hypotenuse^2
So just by looking at that, we know that we can just substitute the values in:
11^2 + 60^2 = x^2
121 + 3600 = 3721
sqrt of 3721 = 61
So the hypotenuse value is 61.
Solve for m c = amt must be one term
Answers
a
m
t
=
c
a
m
t
=
c
.
a
m
t
=
c
a
m
t
=
c
Divide each term by
a
t
a
t
and simplify.
Tap for more steps...
m
=
c
a
t
A lounge is discounted from $3750 to $3000. Express the discount as a % of the selling price.
Answers
3750-3000/3750 = 0.2 (20 percent)
Which expression is equivalent to (73)5 • 74 ?
Select each correct answer.
Question 3 options:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
Answers
The correct answer is D. 73 • 5 • 74
Explanation:
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression (73)5 • 74 indicates 5 should be multiplied by 74, and the result of this should be multiplied by 73 as the lack of symbol indicates multiplication. Therefore, this is equivalent to 73 • 5 • 74.
Answer:
D
Step-by-step explanation:
what is 7(3x+5y) simplify .
Answers
Answer:
21x +35y
Step-by-step explanation:
7(3x+5y)
Distribute
21x +35y
Answer:
7(3x + 5y) = 0 (3x * 7 + 5y * 7) = 0 (21x + 35y) = 0 Solving 21x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms ...
Step-by-step explanation:
Determine whether the following statement is true or false.
For a test of independence, the population that the data has come from must be normally distributed.
A. True
B. False
Answers
Answer:
The provided statement is False.
Step-by-step explanation:
The assumptions to perform a test of independence are:
The sample selected is randomA large sample is selectedThe observations are independent of each otherThe observations follow the same distribution.It is not necessary that the parent population or the population from which the sample is collected is normally distributed.
Thus, the provided statement is False.
Find the missing number in this proportion 10/15=?/21
Answers
Answer:
x = 14
Step-by-step explanation:
Using cross products
10 x
----- = --------------
15 21
10*21 = 15x
210 = 15x
Divide each side by 15
210/15 =x
14 =x
Please help
What is the value of k?
Answers
Answer:
30°
Step-by-step explanation:
k and 30° are vertical angles
Therefore, k = 30°
Error Analysis The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)
Answers
Answer:
-28
Step-by-step explanation:
-7 (2-1)-21
-7 (2-1)=-7
-7-21=-28
Differentiation formula
y=(4x+6)^9
Answers
Answer:
y = (4x + 6)^9
dy/dx = d(4x +6)^9/dx
using chain rule
[tex]\frac{d(4x + 6)^9}{d(4x+6}[/tex] X [tex]\frac{d(4x + 6)}{dx}[/tex]
[tex]9(4x + 6)^{8}[/tex] X 4
36(4x + 6)^8
(144x + 216)^8