The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
Domain:___
Range:___
Function:___
Answer:
Domain: {-4,-2,1,3}
Range: {3,2,-1,-5}
Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)
Measure Of Angle T. WILL GIVE BRAINLIEST
Answer:
m<T = 88
Step-by-step explanation:
7x + 4 + 5x + 3 + 2x + 5 = 180
14x + 12 = 180
14x = 168
x = 12
<T = 7x + 4
7(12) + 4
84 + 4
88
What is the solution to this equation?
2x + 3(x - 10) = 45
A. X = 15
B. x = 11
C. X = 3
D. x = 7
SUBM
Answer:
A. X= 15
Step-by-step explanation:
2x + 3(x - 10) =45
2x + 3x - 30 = 45
5x = 45 + 30
X = 75/5
X = 15
Please help me i need it right now please
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
whats the equation y= -3x + 6 in standard form
We know that the standard form of the equation is:
ax + by = c
and we are given the equation:
y = -3x + 6
Converting to standard form:
3x + y = 6 [adding 3x on both sides]
3x + y = 6
and we are done already!
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
A
Step-by-step explanation:
M = 17 x
The total cost = cost of t-shirts (number of t-shirts)
who was the first priminister
Answer:
Sir Robert Walpole, who led the government of Great Britain for over twenty years from 1721
Step-by-step explanation:
good luck!
A clothing manufacturer would like to determine whether celebrity endorsements influence a customer's decision to buy its products. In order to estimate this potential​ influence, the manufacturer premieres its latest series of commercials privately to two separate groups of potential buyers. One group will see a series of commercials without​celebrities, and one group will view a series of commercials with celebrities. The potential buyers are further divided by gender. Who is in the control​ group?
A.The women who see the commercials without celebrities.
B.The men and women who see the commercials without celebrities.
C.The 100 potential buyers.
D.The men and women who see the commercials with celebrities.
E.The men who see the commercials without celebrities.
Answer:
8
Step-by-step explanation:
The women who see the commercials without celebrities is in the controler group. Correct option is A.
In an experiment, the control group is a group of individuals who do not receive the specific treatment or intervention being studied. The purpose of the control group is to serve as a baseline for comparison, allowing researchers to evaluate the impact of the treatment by comparing it to the group that did not receive the treatment.
In this scenario, the clothing manufacturer is trying to determine whether celebrity endorsements influence a customer's decision to buy its products. To evaluate this influence, they are conducting an experiment with two separate groups of potential buyers:
Group A: Potential buyers (women) who will see a series of commercials without celebrities.
Group B: Potential buyers (men and women) who will view a series of commercials with celebrities.
The control group, in this case, is Group A - the women who see the commercials without celebrities. They do not receive the treatment (celebrity endorsements) being studied. Their responses and behavior will serve as a baseline against which the effects of celebrity endorsements on the buying decision can be compared in Group B.
By comparing the responses and behavior of the two groups, the clothing manufacturer can determine whether celebrity endorsements have a significant influence on the customers' decision to buy their products. The control group is essential for ensuring that any observed effects in Group B are not due to other factors but rather can be attributed to the presence of celebrity endorsements.
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In ΔJKL, j = 57 cm, k = 12 cm and l=55 cm. Find the measure of ∠L to the nearest degree.
Answer: 74 degrees ..............
I need the answer please
Answer:
The 1st option
Step-by-step explanation:
Because x can be anything that's not imaginary and y has to be below 2 always because of the negative value added before the 3. Also it's impossible to reverse the sign of the negative because negative x would only result in 3 becoming a fraction.
rewrite y-340.2=-8.1(x-7) in point slope equation.
it only accepts answers in the form of for example, y=500/3(x+4)+800
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Paul was thinking of a number. Paul subtracts 8 from it and gets an answer of 20.6. What was the original number?
Answer:
28.6 is the answer as when you subtract 8 from 28.6 you get 20.6 which Paul got
How many unit cubes would you need to make a model of a rectangular prism that is 6 units long, 2 units wide, and 5 units high?
Answer:
60
Step-by-step explanation:
Volume = 6*2*5 = 60
Answer:
C
Step-by-step explanation:
sksksksksksksjsjsjsjsj
PLEASE IVE DONE THIS 3 TIMES EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn as they play. The game has 1/3 as many green games as red gems. It has 1/6 as many red gems as gold gems. What fraction of the game's gems are gold?
Answer:
9/11
Step-by-step explanation:
The green gems are red gems divided by three. The red gems are gold gems divided by six. Make the number of gold gems, g. The red gems would be g/6, and the green gems (g/6)/2=g/18. So, the total marbles would be g+g/6+g/18=18g/18+3g/18+g/18=22g/18=11g/9. Now you have to find what percent of 11g/9 is g. (11g/9)(percent)=g. The percent as a fraction is 9/11.
Please show your work
Answer:
a = 9
Step-by-step explanation:
a^2 = 41^2 - 40^2
a^2 = 1681-1600 = 81
a = 9
The scale factor between square RSTU and square WXYZ is 1/2. The area of square RSTU is 100 square inches. What is the area of square WXYZ?
A.) 50 in2
B.)200 in2
C.)400 in2
D.)25 in2
Answer:
If square RSTU is seen as bigger than WXYZ then the answer is A. 50in^2
If square WXYZ is seen as bigger than RSTU then the answer is B. 200 in^2
Step-by-step explanation:
Pls me me plsss help and show work
Answer:
Here ya go!
Step-by-step explanation:
Find the value of X
12
l
l /
5 l. / X
l /
l /
Step-by-step explanation:
According phythagorous theorem,
x²=(12)²+(5)²
x²=144+25
x= root of 169
x=13
Answer:
According phythagorous theorem,
x²=(12)²+(5)²
x²=144+25
x= root of 169
x=13
Step-by-step explanation:
WILL GIVE BRAINLESST
a clothing store is selling t-shirts for $12 each.which graph shows the relationship between the number of t-shirts,x,the store sold and the total amount of dollar,y,earned in t-shirt sale?
Answer: A
Because for every a shirt it’s $12 each.
Therefore for example If you buy 3, it will cost 36
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
What is the cross section of a cylinder that is perpendicular to the base through the center?
The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
pls help
plsssssssssssss
Answer and Step-by-step explanation:
Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.
y = 65°
X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.
TO find x, we subtract 65 from 180.
180 - 65 = 115
x = 115°
X and Z are vertical angles, so they are equal to each other.
z = 115°
x = 115°
y = 65
z = 115°
To solve for the length of PQ, we would use the Pythagorean theorem equation.
[tex]a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7[/tex]
The length of PQ is 7.
#teamtrees #WAP (Water And Plant)
Answer:
y = 65 degrees
x = 115 degrees
z = 115 degrees
Step-by-step explanation:
the angle between c and a will be the same as y because of vertical angles
the same goes for x and z
y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115
The length of one wall in Mr. Shelby‘s classroom and 29 feet. What is the length of this wall in inches.
Answer:
348 inches
Step-by-step explanation:
29x12=348
The length of Mr. Shelby's wall is 348 inches.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, the length of one wall in Mr. Shelby's classroom and 29 feet, we need to convert it into inches.
So,
1 ft = 12 inches
Therefore,
29 ft = 29 × 12
= 348 inches
Hence, the length of Mr. Shelby's wall is 348 inches.
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Calculate the value of each expression by writing the decimal factors as fractions the writing their product as a decimal (1.2) times 5
Answer:
A
Step-by-step explanation:
Lynette and Amber are planning their eighth-grade graduation ceremony. They are shopping for decorations for the stage.
They want to buy a balloon arch that costs $89.95.
They also want to buy some flower arrangements that cost $9.75 each.
They can spend no more than $250.
Lynette thinks that they can buy the balloon arch and 16 flower arrangements, but Amber thinks they can buy the balloon arch and 20 flower arrangements. Which girl's estimate is more reasonable?
A-Amber's, because the flower arrangements will cost about $100
B-Lynette's, because 16 flower arrangements will be about $160
C-Lynette's, because the arch will cost about one-half of their funds
D-Amber's, because $160 will be left for the flowers after buying the arch
Answer:
B
Step-by-step explanation:
Need help in math and explain to me step by step
Answer:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]y = 4x - 1[/tex]
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
[tex]y = 4*-2 - 1 = -9[/tex]
When x = 0
[tex]y = 4*0 - 1 = -1[/tex]
When x = 2
[tex]y = 4*2 - 1 = 7[/tex]
When x = 4
[tex]y = 4*4 - 1 = 15[/tex]
So, the table is:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
I need help with this
Answer:
Step-by-step explanation:
Adding to x shifts the graph to the left and multiplying the equation by a factor greater than one stretches the graph vertically. In this case the graph has been vertically stretched by a factor of three and shifted to the left by two units.
Gail is learning how to bake cookies. She found that 2 out of every 9 cookies are burnt. If Gail baked 225 cookies, how many burnt cookies would she expect to get?
A.
75
B.
100
C.
50
D.
25
Answer:
(c) 50 cookies
Step-by-step explanation:
225*2/9 = 50