Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
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Find p(4) p(x) = 3x - 9
Answer:
p(4)=3
Step-by-step explanation:
p(4)=3(4)-9=12-9=3
NEED HELP IN Algebra 2
Answer:
1) According to your choices, 3.
2) The other two points must be critical points/undefined (imaginary according to your choices)
3) Synthetic division
4) I don't see why the quadratic formula is a choice, but it's the last remaining option.
OMG PLSS ANSWERR People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking, how many gallons do they use every day?
Answer:
260 gallons
Step-by-step explanation:
Hope it's correct
I NEED HELP ASAP ILL GIVE BRAINLIEST
50 = 1.56x+1.29
Answer:
x approximately = 31.22
Step-by-step explanation:
1.29 + 1.56x = 50
- 1.29 - 1.29
_________________
1.56x = 48.71
___________
1.56
x approximately = 31.22
Hope this helps at all!
Jennifer wants to buy new basketball shoes. She has $45 and plans to save $35 a week. How many weeks would she need to save if the shows cost a total of $115
Answer:
Jennifer will need to save 35$ for 2 weeks.
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow. Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3. 1. In simplest form, what is the ratio of blue paint to yellow paint in the mixture?
Answer:
2 : 3
Step-by-step explanation:
Total cans of blue paint = 14
Total cans of yellow paint = 20
Day 1:
Yellow paint = 6 cans
Blue paint = 4 cans
Ratio of blue paints to yellow paint
4 cans : 6 cans
= 2 : 3
Day 2:
Yellow paint = 9 cans
Blue paint = 6 cans
Ratio of blue paints to yellow paint
6 cans : 9 cans
2 : 3
The ratio of blue paint to yellow paint in the mixture is 2 : 3
Day 3:
Cans of yellow remaining after 2 days
Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint
= 20 - 6 - 9
= 20 - 15
= 5 cans
Cans of blue remaining after 2 days
Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint
= 14 - 4 - 6
= 14 - 10
= 4 cans
Help plisssssssssssssss!!!
Answer:
Question 2: v = 25n
Question 3: b (the output is 250 because 10 quarters is 250 cents)
Step-by-step explanation:
Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.
v = 25n
v = 25(10)
v = 250
(v represents the value in cents)
whats the sum or difference? 2.7 + 0.3
Answer:
the answer is 3
Step-by-step explanation:
Answer:
your in highschool and you cant do that?
i worry for you 3
Step-by-step explanation:
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
x=4
x=17.9
Step-by-step explanation:
For the first diagram.
cos(45°)=x/4√2
x=4√2cos(45°)
x=4
For the second diagram
tan(38°)=14/x
0.781=14/x
x=14/0.781=17.9
Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $
Answer:
4400*7.5%=330+315=$645 a week
Step-by-step explanation:
If 3.485÷5.1 is random long division form so that advisor is rain as a whole number where one the decimal point the place in the dividend.
The value of a stock dropped a total of $18 over a 3-day period. Each day during this stretch the value dropped the same amount. What integer represents the change in the value of the stock after the first day?
1/3 of 18 = 6
the song dropped $6 each day
Answer: -6
Step-by-step explanation:
The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.
-18/3
Find the Slope, Midpoint, and Distance for the coordinates (3, 9) and (5, 0).
Slope: Y= -9/2x+45/2 or Y= -4.5x+22.5
Midpoint: (4, 4.5)
Distance: √85 or 9.219544
Step-by-step explanation:
These are the Formulas:
1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.
Answer:
16.64 m
Step-by-step explanation:
Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w
(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)
please I need some help with both questions.
Step-by-step explanation:
which questions you were asking
Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.
Answer:
3 : 7
Step-by-step explanation:
make sure the three of on the left
The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b
Margo finds that 3 out of every 7 boxes of nuts are cashews.
In order to calculate the ratio of two quantities, we can use the following steps
First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.
Write it as a fraction, a/b. As a result, we write it as 3/7.
Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
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Which of the following phrases describe the functions of the digestive system?
I. Smooth, muscular tube connects the mouth to the stomach
II. Muscular action in the esophagus pushes food to the stomach
III. Structures called microvilli increase the surface area of the intestines
IV. Nutrients are absorbed and then made available to the body’s cells
Answer:
IV, number 4
Step-by-step explanation: The reason why is because the digestive system is used when you eat your body absorbs all the nutrients from the food you ate to create energy.
Chef Pillsbury's secret recipe requires 7 eggs for every 2 cups of flour. How many eggs will he needed if he uses 8 cups of flour?
#13, what is my answer ?
Step-by-step explanation:
don't tell no one but you should install math.way it help so much
So basically online school + me = procrastination .
Sara says, "If you subtract 19 from my number and multiply the difference by - 2, the result is -4."
What is Sara's number?
Sara's number is
In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.
∠3and∠5
A
Complementray Angles
B
Vertical Angles
C
Corresponding Angles
D
Supplementary Angles
Answer:
I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol
Step-by-step explanation:
i hope it work
576 is 450% of what number ?
I need to know what are the coordinates of point n and a explanation
Answer:
it is A
Step-by-step explanation:
you line up the numbers and the horizonal line first
Which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function? (4 points)
Input
(x) Output
(y)
−5 7
−3 15
−1 23
? ?
Answer:
the answer is (1,31)
Step-by-step explanation:
As the x value increases by the y value increases by 8
Answer:
C. 1, 31
Step-by-step explanation:
division problem help pls
Answer: B. D. E. F.
Step-by-step explanation:
The football team has a total of 20 jerseys. There are 2 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
10%
Step-by-step explanation:
The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.
Answer:
10%, remember to hit that thanks button
Step-by-step explanation:
pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp
Determine the intercepts of the line.
y- intercept: (___, ___)
x- intercept: (___,___)
Answer:
Y-int (0,-6)
x-int (-8,0)
Step-by-step explanation:
Answer:
Give more clear question pls
Step-by-step explanation:
1+1=?
a. 0
b. 1
c. 3
d. 2
i need a good explanation!!!
Answer:
d.2
Step-by-step explanation:
because if you have 1 blue bead then ur friend gives you another blue bead that makes 2 blue beads.
hope this helps