the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the rectangle.
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
PLZZZZZ HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y = 3
x = 1
y = 1.5
x = 2
Step-by-step explanation:
For the first x point, look at the graph where x is 0. When x is 0, y is 3. So the first one is 3. For the second one, there is a point on the graph where y is 4. Where y is 4, x is 1, so you the second answer is 1. For the third one, find the y point where x is -1. At the x value, -1, y is 1.5. For the last one, where y is 5, x is 2.
y is 3
x is 1
y is 1.5
x is 2
I need some facts about mars and pluto asap and will give brainliest and five stars please
Answer:
Mars: 1) Named after the Roman God of war, Mars is the fourth planet from the sun in our solar system. 2) Mars is also known as the 'Red Planet' because, well, it's red! This signature colour comes from the large amount of a chemical called iron oxide (or 'rust' as you might know it) in its rocks and soil.
Pluto: 1) Pluto is named after the Roman god of the underworld. 2) Pluto was reclassified from a planet to a dwarf planet in 2006. 3) Pluto was discovered on February 18th, 1930 by the Lowell Observatory. 4) Pluto has five known moons. 5) Pluto is the largest dwarf planet. 6) Pluto is one third water.
Hope these help!!
Pluto
Pluto is named after the Roman god of the underworld.
This was proposed by Venetia Burney an eleven year old schoolgirl from Oxford, England.
Pluto was reclassified from a planet to a dwarf planet in 2006.
This is when the IAU formalised the definition of a planet as “A planet is a celestial body that (a) is in orbit around the Sun, (b) has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape, and (c) has cleared the neighbourhood around its orbit.”
Pluto was discovered on February 18th, 1930 by the Lowell Observatory.
For the 76 years between Pluto being discovered and the time it was reclassified as a dwarf planet it completed under a third of its orbit around the Sun.
Pluto has five known moons.
The moons are Charon (discovered in 1978,), Hydra and Nix (both discovered in 2005), Kerberos originally P4 (discovered 2011) and Styx originally P5 (discovered 2012) official designations S/2011 (134340) 1 and S/2012 (134340) 1.
Pluto is the largest dwarf planet.
At one point it was thought this could be Eris. Currently the most accurate measurements give Eris an average diameter of 2,326km with a margin of error of 12km, while Pluto’s diameter is 2,372km with a 2km margin of error.
Pluto is one third water.
This is in the form of water ice which is more than 3 times as much water as in all the Earth’s oceans, the remaining two thirds are rock. Pluto’s surface is covered with ices, and has several mountain ranges, light and dark regions, and a scattering of craters.
Pluto is smaller than a number of moons.
Mars
Mars and Earth have approximately the same landmass.
Even though Mars has only 15% of the Earth’s volume and just over 10% of the Earth’s mass, around two thirds of the Earth’s surface is covered in water. Martian surface gravity is only 37% of the Earth’s (meaning you could leap nearly three times higher on Mars).
Mars is home to the tallest mountain in the solar system.
Olympus Mons, a shield volcano, is 21km high and 600km in diameter. Despite having formed over billions of years, evidence from volcanic lava flows is so recent many scientists believe it could still be active.
Only 18 missions to Mars have been successful.
As of September 2014 there have been 40 missions to Mars, including orbiters, landers and rovers but not counting flybys. The most recent arrivals include the Mars Curiosity mission in 2012, the MAVEN mission, which arrived on September 22, 2014, followed by the Indian Space Research Organization’s MOM Mangalyaan orbiter, which arrived on September 24, 2014. The next missions to arrive will be the European Space Agency’s ExoMars mission, comprising an orbiter, lander, and a rover, followed by NASA’s InSight robotic lander mission, slated for launch in March 2016 and a planned arrival in September, 2016.
Mars has the largest dust storms in the solar system.
They can last for months and cover the entire planet. The seasons are extreme because its elliptical (oval-shaped) orbital path around the Sun is more elongated than most other planets in the solar system.
On Mars the Sun appears about half the size as it does on Earth.
At the closest point to the Sun, the Martian southern hemisphere leans towards the Sun, causing a short, intensely hot summer, while the northern hemisphere endures a brief, cold winter: at its farthest point from the Sun, the Martian northern hemisphere leans towards the Sun, causing a long, mild summer, while the southern hemisphere endures a lengthy, cold winter.
Mark is on a quiz bowl team. He answers his quiz bowl questions correctly one-third of the time. Which is a way you could simulate the probable outcomes of this event with a six-sided number cube?
A.correct: a roll of 6 incorrect a roll that is not 6
B.correct: a roll of an even number incorrect a roll of an odd number
C.correct: a roll of a number less than 3 incorrect: a roll of a greater than or equal to 3
D. correct: a roll of a number that is not divisible by 3 incorrect a roll of a number that is divisible by 3
Answer:
Step-by-step explanation:
Mark is on a quiz bowl team. He answers his quiz bowl questions correctly one-third of the time. Which is a way you could simulate the probable outcomes of this event with a six-sided number cube?
A.correct: a roll of 6 incorrect a roll that is not 6
B.correct: a roll of an even number incorrect a roll of an odd number
C.correct: a roll of a number less than 3 incorrect: a roll of a greater than or equal to 3
D. correct: a roll of a number that is not divisible by 3 incorrect a roll of a number that is divisible by 3
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Answer
2.0/5
5
6.6M people helped
The probability being fixed at 1/3, let's find which event in rolling a 6 sided dye will generate a probability of 1/3.
A- 6 sided number cube: with one roll (INCORRECT), however with a 3 sided number cube, P(0ne roll) = 1/3 (CORRECT)
B- A roll of an even number : P(even number) =3/6 =1/2 (INCORRECT), and a roll of an odd number P(odd number) = 3/6 = 1/2 (INCORRECT)
C- A roll of a number less than 3 , P(less than 3) =2/6 =1/3 CORRECT), whereas :a roll greater than or equal to 3. INCORRECT
D. A roll of a number that is not divisible by 3, P(not divisible by 3) = 4/6 =2/3 (INCORRECT): P( number number that is divisible by 3) =2/6 1/3 CORRECT
If there is an open circle on a number on a number line, is that number included in the inequality
PLEASE HELP ME!!!! I WILL MARK THE BRAINIEST TO WHOEVER ANSWERS THIS CORRECTLY!!!!!!!!
The question says:The annual profits for a company are given in the following table, where x represents the number of years since 2001, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2012, rounded to the nearest thousand dollars.
Answer:
y=22.6x+52.332020
Step-by-step explanation:
Can someone Help me with this ASAP
Answer: 56/209
Step-by-step explanation:
Which simplified ratio correctly compares 12 yards to 20 feet?
A. 3:5
B. 5:9
C. 5:3
D. 9:5
[WILL GIVE BRAINLY] An angle measures 122° more than the measure of its supplementary angle. What is the measure of each angle?
The measure of the angle will be equal to 58°.
What is the supplementary angle?
The supplementary angles are defined as the angles whose sum is equal to 180°
here the angle is 122° degrees more than its supplementary angle.
We know that the sum of the two supplementary angles is given as:-
Suppose the known and the unknown angles are A and B respectively.
∠A + ∠B = 180°
122 + ∠B = 180°
∠B = 180-122= 58°
Hence the measure of the angle will be equal to 58°.
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Please answer-
Between which two numbers will you find |-2.65|?
A. -2.6 and -2.5
B. -2.7 and -2.6
C. 2.5 and 2.6
D. 2.6 and 2.7
The absolute value of -2.65 is positive 2.65
therefore the answer is D. 2.6 and 2.7
EXPLAIN PLEASE!!
The function f(x) = -(x - 20)(x - 100) represents a company's monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit?
heyo yall can i get some help on this math question?
Answer:
on the first box is 2 on the last one its 18
Step-by-step explanation:
plz mark me brainliest
Answer:
Row 1: x=3; Row 3: y=18
Step-by-step explanation:
So to do this, look at where the line passes each of the x and y values it asks for within the graph.
In this question, x is the gallons of milk and y is the cost.
With the first part, it calls for the x value for when the y value is 6 dollars. With this, see where the line on the graph crosses 6 dollars. After doing this, you would see that the line passes over 6 dollars for when 2 gallons of milk are present. With this, write 3 under x.
With the other part, you do the same thing but now with the gallons of milk that are bought. So going up from where it says 6 gallons of milk on the graph, the line passes this over where it says $18. With this, write 18 under y.
4x-5(2x+1)=6x+1. how many solution will this have? is this right
Select all ratios equivalent to 16:12 A. 12:9 B. 4:24 C. 48:36
Answer:
A, B, and D
Step-by-step explanation:
there all equal to 1¯3
Answer:
A - 12:9 and C - 48:36 are your answers
Step-by-step explanation:
16:12 can be simplified to 4:3 (by diving both numbers by 4)
You can see that 12:9 and 48:36 also equal to 4:3 when fully simplified.
Find the surface are of the regular pyramid
Answer:
146 [tex]ft^{2}[/tex]
Step-by-step explanation:
9x6/2 = 27
27x4 = 108
6x6 = 36
36+108 = 146
The box plot shows the highest jump for each competitor in the Women's High Jump Final at the 2008 Olympics in Beijing, China. Find the Interquartile Range.
Answer:
0.07
Step-by-step explanation:
to find the IQR you do Q3-Q1
2.00-1.93
What is the missing angle in the triangle?
56°
65°
86°
68°
Answer:
65°
Step-by-step explanation:
We know that every triangle is equal to 180 degrees. Therefore, you have to subtract all angles by 180 to find what the missing angle is. The missing angle is 180-68-47. You can simplify this to 180-115. This is equal to 65. Therefore, the missing angle is 65 degrees.
If this helps please mark as brainliest
MR.Boyle feeds his dog 2.75 cups of food every day .He feeds his cat 0.5 of what the dog eats . How many cups of food does his cat eat
A suit originally costing $240 is on sale for 25% off the original price. Sales tax is 7.5%. What is the final cost of the suit?
A) 180
B) $193.50
C) $258
D) $166.50
Answer:
$193.50
Step-by-step explanation:
start by multiplying 240 by .25 (25%) to find out how much is 25% of 240. this equals 60.
then, subtract $60 from $240. equals 180.
next, to add the sales tax, multiply 180 by 0.075 (7.5%) this is $13.50.
lastly, add the tax, which is $13.50, to the suit's sale price, which is $180.
180+13.5= $193.50
When the best fit line for a set of data is quadratic, the residual will have no distinct pattern.
True or False
Answer:
true
Step-by-step explanation:
A house was valued at $389,000. Over several years, the value increased by 18%, giving the house a new value. Write the new value in terms of the old value.
Write your answer as a decimal. Use your answer in part (a) to determine the new value.
Answer:
Is it your house? if not then don't worry about it
Step-by-step explanation:
Answer:
459,020
Step-by-step explanation:
18% is 70,020. Add that to the original number and there you go!
Justin sells 78.5 ounces of lemonade for a total of $15.70.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
The unit rate of the lemonade is $0.2 per ounce.
What is unit rate?A unit rate means a rate for one of something.
Given that, Justin sells 78.5 ounces of lemonade for a total of $15.70.
We are asked to find the unit price in dollars per ounce.
Since, he sells 78.5 ounces in $15.70
So, in one ounce will be sold in = 15.70 /78.5 = 0.2
Hence, the unit rate of the lemonade is $0.2 per ounce.
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Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not. Write an essay. Pls, help. Thx
Answer:
Yes.
Step-by-step explanation:
Use the Pythagorean Theorem and Pythagorean triples.
One commonly used Pythagorean triple is 3, 4, 5.
24 is a multiple of 3 (3*8=24), 32 is a multiple of 4 (4*8=32), and 40 is a multiple of 5 (5*8=40). This concludes that the numbers 24, 32, and 40 can be the lengths of the three sides of a right triangle.
To further check our response, we can use the Pythagorean Theorem.
a^2+b^2=c^2
24^2+32^2=40^2
576+1024=1600
1600=1600
Our response is correct.
Is my answer right?: 2 - 18b - 11 - 4b = -9 - 22b
which value of k makes-5 > k + 11 true?
Answer: -17 or anything above that
Step-by-step explanation:
You have to isolate k so in order to do that, you must subtract 11 from both sides to get -16 > k so it has to be anything less than -16 which is -17 or anything higher than that.
hurry plzzzz ........
How much farther can the vehicle you chose in part (a) travel than the other vehicle on 8 gallons of gasoline
Answer:
if its 16 then its 24
Step-by-step explanation:
The manager of fast food restaurant collected data to study the relationship between the number of employees working registers and the amount of time customers waited in line to order. He made a scatter plot of the data and credited a trend line with the equation y= -70x+300, where y is the total amount of time waited in seconds and x is the number of employees working registers.
1. Did the scatter plot of data positive, negative, or no association? Explain your reasoning.
2. Maria went to the restaurant and waited 90 seconds to place her order. Use the trend line equation to predict how many employees were working.
3. Kiara went to the restaurant and waited 3.5 minutes. Use the trend line to predict how many employees are working.
4. Ashton walked into the restaurant and 4 employees are working registers. Use the trend line equation to predict how long he will wait to place his order.
Answer:
Step-by-step explanation: "no association because depending on how many people are working and how many people are coming in at the same tome"
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
Gerald is trying to gain muscle and needs
to consume more protein every day. If he has
a protein shake that contains 32 grams and
the entire shake is 340 grams, what
PERCENTAGE of the entire shake is protein?
What is the ratio between grams of protein
and grams of non-protein?
Answer: 32 grams of protein, 308 grams of isolate. Shake is 209.44%g of non-protein so answer is 8:85
Answer:
i agree with the guy above me
Step-by-step explanation: