The length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if its area is 140 square centimeters?
Answers
Answer:
Dimensions = 7 cm by 20 cm.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Area of rectangle = 140 cm²
L = W - 13
To find the dimensions of the rectangle;
The area of rectangle = L * W
Substituting into the above formula, we have;
140 = L * W
140 = (W - 13) * W
140 = W² - 13W
W² - 13W - 140 = 0
Solving the quadratic equation using factorization method;
Factors are -20 and 7
W² - 20W + 7W - 140 = 0
W(W - 20) + 7(W - 20) = 0
(W - 20)(W + 7) = 0
W - 20 = 0
W = 20
W + 7 = 0
W = -7
Thus, W = 20 or -7
But the width has to be positive, W = 20 centimeters.
Next, to find the length of rectangle
L = W - 13
L = 20 - 13
L = 7 centimeters.
Related Questions
20 POINTS Circle each number below which is greater than its square. (i) 1 (ii) 2/3 (iii) -3 (iv) -1/2 (v) 5/4
Answers
Answer:
(ii) (iii)
Step-by-step explanation:
A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?
Answers
Let me know if you have questions
Pls help it’s urgent I need help I’m begging u have a good day pls help will give Brainlist
Answers
Answer:
I think the answer is C. I'm not 100% sure tho
Find the missing length of the triangle.
10 in.
16
26 in.
Answers
Answer:
24
Step-by-step explanation:
26x26=676
10x10=100
676/100=576
The square root of 576 is 24.
Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)
Answers
Answer:
y = x - 2
Step-by-step explanation:
Find the slope using rise over run
(y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-5 - 4) / (-3 - 6)
-9 / -9
= 1
Using y = mx + b, plug in the slope and a point to solve for b:
y = mx + b
4 = 1(6) + b
4 = 6 + b
-2 = b
Plug in the slope and b to y = mx + b
y = 1x - 2
y = x - 2
So, the equation of the line is y = x - 2
8. A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from
the bag. What is the probability of picking:
a) a red marble?
b) a blue marble?
c) a red marble after a blue marble had been picked first.
Answers
Answer:
56%, 44%, 57%
Step-by-step explanation:
divide number of marbles by 50
Calculate the volume of this cone.
Give your answer to 1 decimal place.
11 cm height
6 cm across
Answers
Answer:
6m
Step-by-step explanation:
Jjsjsjjs
Please help i need you
Answers
hope this helped
Which distance measures 5 units?
(Picture down below)
A. the distance between points W and X
B. the distance between points X and Y
C.the distance between points X and Z
D.the distance between points Y and Z
Answers
Answer:
B
Step-by-step explanation:
The distance between point x and y
The floor plan at right shows a two-bedroom apartment. The owner apartment is replacing some of the flooring in the apartment. He plans on installing new carpet in the two bedrooms and living room. The kitchen and bath have tile floors, but he is not replacing the tile. What is the area in square feet that will have new carpet?
A. 322 square feet
B. 192 square feet
C. 368 square feet
D. 690 square feet
Answers
Answer:
192 square feet
Answer:
368
Step-by-step explanation:
The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85 How much money should they leave for the bill and a 20% tip? Please explain step by step
Answers
To find the tip you have to do
28.85 x 20% which is 0.2 as a decimal
and you get $5.77. That is the tip you would leave, so you add that to the amount of the bill $28.85 + $5.77 = $34.62
In ASTU, the measure of ZU=90°, TU = 28 feet, and ST = 39 feet. Find the measure
of ZT to the nearest tenth of a degree.
T
x
39
28
U
S
Answers
Answer:
44.1
Step-by-step explanation:
Answer on deltamath
Jordan has a bag of 28 markers. Each marker is 20 centimeters long. What is the combined length of
the markers in meters?
Answers
Answer:
560
Step-by-step explanation:
What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4
Answers
Answer:
B I'm pretty sure.
Step-by-step explanation:
The new computer you want to buy costs $749.50. If you wait for it to go on sale for 17% off, what will the sale price be?
Answers
Answer:
$622.09
Step-by-step explanation:
The computer is $749.50 and if the computer is 17% off, it means that you only need to pay 83% of the original cost.
749.50/100 = 74.95
74.95*83 = $622.085
Since the thousandth is a 5, round up to $622.09
The sale price is $622.09
Please give a detailed answer and explain the calculations you did. I'll give Brainliest!
Answers
Answer:
30 books
Step-by-step explanation:
He sold 75 books, and 40% of them were in his collection.
Find 40% of 75.
Just do 75 * 0.4 and you'll get 30
Answer:
188?
Step-by-step explanation:
40% of 188 is 75
75.2/188 = 40%
Circumference of the circle as 15 pi inches find the diameter
Answers
The formula for the circumference of the circle is 2πr or πd with r being the radius and d being the diameter. These 2 gives the same result because d=2r
Now because we know that the circumference is 15pi, we just need to reverse to find the diameter.
π*diameter=15*π
We can divide π from both sides.
diameter=15
Hope this helped!
The cost of the studios internet service is given by the formula c=90+30x, where x is the number of months of usage. What is the studios cost for 11 moths of internet?
Answers
Answer:
$420
Step-by-step explanation:
C=90+30(11)
11x30=330
330+90=420
Without multiplying circle whether each product is greater than, less than, Equal to the whole number
Answers
Step-by-step explanation:
4 × (1/7) Less Than12 × 2(5/6) Greater ThanThe Rule: If you are multiplying by a value less than one, your product will decrease. If you are multiplying by 1, the product will be equal and if you are multiplying by a value greater than 1, the product will increase.
2loga + 4logb - logc - 3logd
Answers
Answer: I am sorry I have no idea what this is
Step-by-step explanation: It might be log parenthesis a to the power of 2 than b to the power of 4 over cd to the power of 3 parenthesis have a nice day, hope it is not to confusing, it did not let me use the right characters
Answer:
[tex]log \left( \frac{a^2\,\,b^4}{c\,\,d^3} \right)[/tex]
Step-by-step explanation:
We use the properties of logarithms to write this as a single logarithmic expression. First the exponent property:
2 log(a) + 4 log(b) - log(c) - 3 log(d) =
= log(a^2) + log(b^4) - log(c) - log(d^3) =
and now the multiplication and division properties
= [tex]log \left( \frac{a^2\,\,b^4}{c\,\,d^3} \right)[/tex]
PLEASE ANSWER THIS QUESTION CORRECTLY, I’LL GIVE YOU BRANLIEST Answer my other math questions if you solve this one, thanks
Answers
Answer:
I would say this is true
Step-by-step explanation:
The explicit formula is
An= A1 + (n-1)d
So it works out the same way even if the placing is switched
You have a choice of vanilla or chocolate ice cream, topped with sprinkles, peanuts, granola, or M&M's. How many total possible outcomes are there?
7 possible outcomes
4 possible outcomes
8 possible outcomes
10 possible outcomes
Answers
Answer:
Step-by-step explanation:
im gesting C
Solve 2x - 3 = 1 help please
Answers
Answer:
first add 3 to both sides to get rid of the three on the left side
2x = 4
then divide 2 from both sides since it is the opposite of the operation shown then you'll get x = 2 when dividing to on the left side you get rid of it because you are trying to get rid of as much of the numbers as possible.
Answer:
X=2
Step-by-step explanation:
1). cancel the -3 out on both sides of the equation
2). When you add together the 1 and 3, you will recieve the value of 4
3).In order to get the x attached to the coefficient 2 isolated you have to divide 2 on both sides
4.) 2x = 4
5). 2x/2 = x
6). 4/2 = 2
Therefore x=2
Is this correct?
Yes or no
Answers
Answer:
yes that is correct can you put me brainliest please?
Step-by-step explanation:
A line passes through the point (-2, -7) and has a slope of5/2
Write an equation in slope-intercept form for this line.
Answers
Answer:
y=5/2x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=5/2(x-(-2))
y+7=5/2(x+2)
y=5/2x+10/2-7
y=5/2x+5-7
y=5/2x-2
What is the slope of the line
Answers
5. ALGEBRA Refer to the figure in
Exercise 4. If m/1 = 4x + 40, and
m25 120°, what is the value of x?
Answers
Answer:
the value of x equals to 20 thats is solution okay
A slope field produces...
A. the graph of the general solution to the differential equation
B. the graph of the derivatives of the differential equation
Please explain. I am so confused on this.
Answers
It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).
More to the point: Slope fields are used to visualize solutions to differential equations of the form
y' = f(x, y)
You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).
Sample several points and evaluate y' at those points and you get several different slopes.
Simple example:
y' = x ² - y ² = (x + y ) (x - y )
Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes
y' = f (1, 1) = 0
y' = f (-1, 0) = 1
y' = f (2, -2) = 0
From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.
If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.
1) The initial volume of a balloon is 0.50 L. The initial temperature of the balloon is 150K. The volume in the balloon increased to 1.00 L.
What is the final temperature?
Use the below equation. Round to the nearest whole number and do not use units in your final answer.
T2=V2 x T1V1
2) A 2.5L container of an unknown gas has a pressure of 300kPa. The container is squeezed and has a final volume of 2.0L.
What is the final pressure of the container?
Use the below equation. Round to the nearest whole number and do not use units.
P2 =P1V1/V2
3) Charles’ law is
V1T1=V2T2
A closed container has an initial temperature of 300K. The container volume is changed until the final volume is 2L and the final temperature is 425K.
Calculate the initial volume using the equation from Charles' Law.
Use 2 decimal points in your answer and do not use units.
Answers
Answer:
The undersigned only for use your own email and delete any and copies and of the itself and to be there is a good time what does a decrease in temperature indicate about the molecules in a sample of liquid water? decreased chemical energy of the molecules decreased kinetic energy of the molecules increased chemical energy of the molecules increased kinetic energy of the molecule show does a sample of helium at 15 â°c compare to a sample of helium at 215 k? the helium at 15 â°c has a higher average kinetic energy than the sample at 215 k.the helium at 15 â°c has lower nuclear energy than the sample at 215 k.the helium at 15 â°c has slower-moving atoms than the sample at 215 k.the helium at 15 â°c has smaller atoms than the sample at 215 k.
Step-by-step explanation:
I NEED THIS TODAY PLEASE
To play a board game, a player
spins the pointer of a spinner with
four equal sections numbered 1-4,
and then flips a fair coin. Use a tree
diagram to represent the sample
space. What is the probability of
spinning either a 3 or a 4 AND flipping
a head?
Answers
Answer:
15%
Step-by-step explanation: maybe