Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,
[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]
Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.
Here is a list of numbers.
-8, -5, -3,-2,0,2,4,9
(a) Write down two numbers from the list that have a difference of 10.
Answer:
2, -8
|2| = 2, |-8| = 8 (absolute value)
2+8=10
The length of a rectangle is 6 inches. The width is 3w inches. What is the expression for the perimeter of the rectangle?
Answer:
Perimeter = (6w + 12)inches
Step-by-step explanation:
The perimeter of a rectangle is:
p = 2(length+width)
p = 2(6 + 3w)
p = 2*6 + 2*3w
p = 12 + 6w
Lilly bought 4 pairs of jeans at a cost of $39 each how much did she give the clerk write a multiplication problem and then find the answers
Answer:
It's simple. 4x39=156
Step-by-step explanation:
add 39 4 times. 39+39+39+39=156
Wnite in scientific notation: 254.000
f×v= 13,573,692,509 if f stands for 5837 then what is v?
Answer:
v = 2,325,457
Step-by-step explanation:
f×v= 13,573,692,509
5837×v= 13,573,692,509
v = 13,573,692,509÷5837
v = 2,325,457
[tex]{}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }[/tex]
[tex]{}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0[/tex]
Sara, Nick and June share some sweets in the ratio 5:5:3. Sara gets 18 more sweets than June. How many sweets does Nick get?
Answer: 45
Step-by-step explanation:
5 : 5 : 3 is simplified so it can be rewritten as 5x : 5x : 3x
↓ ↓ ↓
Sara Nick June
Sara has 18 more than June --> 5x = 3x + 18
2x = 18
x = 9
In expanded form we have 5(9) : 5(9) : 3(9)
45 : 45 : 27
↓ ↓ ↓
Sara Nick June
2. Solve for b: c=a/b
Answer:
b=a/c
Step-by-step explanation:
simplify each expression
Answer: Answer
Step-by-step explanation:
1. -83
2. 40
3. -38
4. 0
Please check my math!
Answer:
1 answer is39
2 answer is71
3 answer is38
4 answer is20/7
Step-by-step explanation:
Hope it is helpful for you
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What is the distance between (2,-1) and (2,5) rounded to the nearest 10th
Answer:
5.0Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5[/tex]
Simplify: 6 ÷ 3 + 32 · 4 − 2
Answer:
Use PEMDAS.
Parentheses: none.
Exponents: none.
MD, from left to right
6/3 = 2
2 + 32 x 4 - 2
32 x 4 = 128
2 + 128 - 2
2 + 128 = 130
130 - 2 = 128
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Answer:
36
Step-by-step explanation:
What is the volume of a shoebox that is 35 cm long, 10 cm wide, and 10 cm high?
Answer:
3500 cm^3
Step-by-step explanation:
A shoebox is in the size of a cuboid
Volume of a cuboid = [tex]length\times width\times height[/tex]
[tex]l = 35\\w = 10\\h =10\\\\V =35\times 10\times 10 \\\\Volume =3500cm^3[/tex]
Answer: looks like they got rid of What’s your favorite anime.
Step-by-step explanation:
A dog has three puppies. Spot weighs 12 ounces. Rascal weighs 9.5 ounces. Socks weighs 10.2 ounces. What is the total weight of the litter? *
Answer:
31.7
Step-by-step explanation:
Since you want to find the entire weight, you need to add up all of the weights of the puppies.
12+9.5+10.2= 31.7
Can someone pls answer these two math questions?
Question 6 (1 point) If the area of a square is 121 square inches, what is the perimeter of the square? inches
Answer:
44 inches
Step-by-step explanation:
The side length is the square root of the area:
A = s^2
121 in^2 = s^2
√(121 in^2) = s = 11 in
The perimeter of a square is 4 times the side length (since all four sides are the same length).
P = 4s = 4(11 in) = 44 in
The perimeter of the square is 44 inches.
The area of a square is 121 square inches, what is the perimeter of the square? inches
Answer:The perimeter = 44 inches
Explanation:Area = 121 inches²
.°. Length of a side = √(121 inches²) = 11 inches
Now,
Perimeter of the square =
Length of a side×4
= 11 inches × 4
= 44 inches.
▬▬▬▬▬▬▬▬▬▬▬▬what is a common multiple for 4,8,10
Multiples of 4, 8, 10
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8 = 8, 16, 24, 32, 40
10 = 10, 20, 30, 40
A common multiple = 40
An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used,
x 200
The function b(ar) = {
0.102,
0.15(x - 200) +20, < > 200
determines the
bill
How much is the bill for a person who uses 600 kWh in a month?
A. $70
ООО
B, $60
C. $40
D. $80
Answer:
$80Step-by-step explanation:
If a person's monthly bill from the number of kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;
[tex]b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80[/tex]
Hence the bill for a person who uses 600 kWh in a month is $80
Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
[tex]x = \frac{-b +- R }{2*a}[/tex]
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
[tex]x = \frac{-b +- C*i }{2*a}[/tex]
We have two complex solutions.
If D = 0
√0 = 0
then:
[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]
We have only one real solution (or two equal solutions, depending on how you see it)
Answer:
B (–4, –12)
Step-by-step explanation:
If its even the right question
Simplify.
-4 (3-1) + 2
Answer:
-6
Step-by-step explanation:
-4 x 2 = -8 + 2 = -6
I NEED HELP ASAP Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.
Step-by-step explanation:
Identify the variables (x,y) and represent them using the unknowns like this:
Let x represent the tens digit and y represent the ones digit of the number.
Relationships between the unknowns from the question:
x = 2y, and x + y = 12.
We can solve these simultaneous equations by substitution:
x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.
Link back to the question:
Therefore, the number is 84.
Sienna is measuring a rectangular canvas on which she wants to paint. One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches. What is the area of the canvas, rounded to the correct amount of significant digits
Answer:
（95）
Hope I helped you
The area of the canvas if, One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches is 94.62 inches².
What is rectangle?
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
One side of the canvas is 11.4 inches long,
the shorter side is 8.3 inches,
Calculate the area of the canvas as shown below,
Area of the canvas = Length of the longer side × length of the shorter side,
Area of the canvas = 11.4 × 8.3
Area of the canvas = 94.62 inches².
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during the week. Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas. What was Jimmy’s change in dollars at the end of the week?
Answer:
5
Step-by-step explanation:
Let's look at the question.
Spent- He spent 45 dollars eating out.
He spent an additional 15 dollars on gas
Earned- He earned 55 dollars from mowing lawns
Earned is going to be a positive value.
Spent is going to be a negative value.
The situations don't matter in the context of the question. They are just asking how much he got charged.
The amount charged is always positive. You can never have a negative charged amount of money. That would mean the bank owed you money, which would never happen.
Let's substitute the values into an equation.
The variable C will stand for amount charged.
C = -45 + 55 - 15
Combine the negative values to get -60
Add -60 to 55.
You will get -5, which then you will have to take the absolute value of.
The absolute value will be the charge in dollars at the end of the week.
Jimmy’s change in dollars at the end of the week will be - 5 dollars.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.
Now,
Let the total amount Jimmy have = x
Since, Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.
Hence, After spent $45 on eating, we get;
The left amount = x - $45
And, After spent $55 on mowing lawns, we get;
The left amount = x - 45 + 55
= x + 10
And, After spent $15 on gas.
The left amount = x + 10 - 15
= x - 5
Thus, At the end of the week, he ended up with 5 dollars less than he started, so the change is -5 dollars.
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A nurse mixes 40 cc of 60% saline solution with a 30% solution to produce a 35% salone solution How much of the 30% solution should he use?
A point lies on x-axis at a distance of 9 units from y-axis. What are its co-ordinates? What will be the co-ordinates of a point if it lies on y- axis at a distance of -9 units from x-axis?
Answer: x axis (9,0). Y axis (0, -9)
Step-by-step explanation:
Simplify the expression
3-(2x+5)
Answer:
-2x - 2
Step-by-step explanation:
Step 1: Write expression
3 - (2x + 5)
Step 2: Distribute negative
3 - 2x - 5
Step 3: Combine like terms
-2x - 2
Is –6 × 8 positive or negative?
Answer:
Negative
Step-by-step explanation:
- x + = negative
+ x - = negative
- x - = positive
+ x + = positive
It is negative, because positive times negative=negative.
Help anyone who knows mathematics
Answer:
All answers are in bold in the explanation below.
Step-by-step explanation:
1. $11.49/3 packages=$3.83 per package
2. 2550 gals/30 days=85 gals per day
3. 88 students/4 classes=22 students per class
4. 15.6°F/13 minutes=1.2°F per minute
5. 175 Cals/12 oz=14.58 Cals per oz
6. 258.5 mi/5.5 hrs=47 miles per hr
7. 549 vehicles/9 acres=61 vehicles per acre
8. $920/40 hrs=$23 per hr
9. 13 apples/2 pies=6.5 apples per pie
10. 114 parts/6 mins.=19 parts per min. So, multiply that unit rate by 15 mins.: 19 parts/min. * 15 mins.=285 parts in 15 minutes
11. 8 jumbo muffins/1.5 teaspoons of powder=5.33 teaspoons of powder per muffin. So, multiply that unit rate by 3 dozen jumbo muffins. A dozen is 12 so 3 dozen 36 muffins.: 36 muffins*5.33 teaspoons=192 tsp for 36 muffins
12. about $75 per tire-reasoning: if you rounf $299 to $300 and divide by 4 tires you would get about $75 for the tires.
13. about $4.50 per yard of fabric-reasoning: first round $13.47 to $13.50. Now, 13.50 is sort of in the middle between 12 and 15, which are both equally divisible by 3. 12/3=4 and 15/3=5. The middle number between 4 and 5 is 4.5, so one yard of fabric will be about $4.50.
14a. Melendez: 1,560 watts/4 people=390 watts per person
Barton: 2,130 watts/6 people=355 watts per person
Stiles: 1,490 watts/2 people=745 watts per person
The Stiles family uses almost twice the amount of electricity per person than the other two families. If you look at the calculations, you see that the other two families use within in about 350 to 400 watts of electricity per person, while this family uses about 750 watts per person. 350*2=700 and 400*2=800. 745 is a number almost in between both.
14b. Melendez: 3,500 gals/4 people=875 gals per person
Barton: 6,400 gals/6 people=1,066.67 gals per person
Stiles: 2,500 gals/2 people=1,250 gals per person
The Melendez family uses the least amount of water per person. If you look at the calculations, this is the only family that uses less than 1,000 gallons of water per person, thus making them the family that uses the least amount of water per person.
4∣3c+5∣=16c I know the answer is five but I don't know how to get there
Answer:
[tex]c = 5[/tex], explanation for how to get there
Step-by-step explanation:
If we have the equation [tex]4|3c+5| = 16c[/tex], we want to isolate c on one side and find it's value.
Let's first divide both sides by 4.
[tex]4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c[/tex]
Now let's solve for the absolute value. We know that:
[tex]3c + 5 = 4c[/tex]
or
[tex]3c + 5 = -4c[/tex]
Possibility 1:
[tex]3c + 5 = 4c[/tex]
Subtract 3c from both sides:
[tex]5 = c[/tex]
Possibility 2:
[tex]3c + 5 = -4c[/tex]
Add 4c to both sides:
[tex]7c + 5 = 0[/tex]
Subtract 5 from both sides:
[tex]7c = -5[/tex]
Divide both sides by 7:
[tex]c = \frac{-5}{7}[/tex]
Plugging both of these values into the equation, we can see that only 5 works.
Hope this helped!
Mary has three baking pans. Each pan is 8"×8"×3" which expression will give her the total volume of the pans?
Answer:
(8^2*3)*3 is the correct answer
next time you ask a question put the answer choices in your question
Is 63 ÷ –7 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative is a negative.
Find the distance and midpoint for the points (7, 10) and (1,2).