Given that,
The area of a rectangular dining table = 9000 sq ft
Solution,
Let the width is b ft. Length is 20 less then four time the width.
Length = (4b-20) ft
The formula for the area of a rectangle is given by :
A = lb
Substitute all the values,
[tex]9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet[/tex]
Neglecting negative value, b = 50 ft
Length, l = (4(50)-20)
l = 180 ft
So, the length is 180 ft and width is 50 ft.
help needed, fast! thank you :)
Answer:
x ≥ 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x - 4 ≥ 12
Step 2: Solve for x
Add 4 to both sides: x ≥ 16Here we see that any value x greater than or equal to 16 would work as a solution to the inequality.
Answer: x ≥ 16
Step-by-step explanation:
x−4≥12
Step 1: Add 4 to both sides.
x−4+4≥12+4
x≥16
Answer:
x≥16
Help me please thank you I appreciate it
Which system of equations has no solution?Immersive Reader
(2 Points)
y = -3/4x + 5 and y = -3/4x + 5
y = 3x + 9 and y = 3x + 13
y = -2x – 5 and y = -2x + -5
y = 3x – 5 and y = 2x + 4
Answer:
y = 3x + 9 and y = 3x + 13
Step-by-step explanation:
y = 3x + 9 and y = 3x + 13
The above system of linear equations have no solutions.
Answer:
y = 3x + 9 and y = 3x + 13
Step-by-step explanation:
i did the quiz i got a 90% but i got this right.
I need G PLZZZZZZZZZZZZZZZ
A+b=30, a-b=20, a/b=?
Answer:
5
Step-by-step explanation:
a+b=30
a=30-b------1
&a-b=20
a=20+b-----2
From eqn 1 and 2, we get
30-b=20+b
or, 10=2b
b=5
Now, a=20+5
a=25
Therefore, a/b=25/5
=5
Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5
The system of equations:
a + b = 30 - - - (1)a - b = 20 - - - (2)From (1) :
a = 30 - b - - - (3)
Substituting a = 30 - b into (2)
30 - b - b = 20
30 - 2b = 20
30 - 20 = 2b
10 = 2b
b = 5
From (3) :
a = 30 - 5
a = 25
Hence,
a/b = 25 / 5 = 5
Hence, the value of a/b is 5
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absolute value of 7 and one
eigth
The regular price of a bicycle is $120. The bicycle is on sale for 20% off. Which expression is equal to the sale price, in dollars, of the bicycle?
Answer:
$96
Step-by-step explanation:
120 x .20 = 24
120 -24 =$96
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.8 gallons in the 15-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.90 per gallon. How much did Lou spend on gas?
Answer: You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
3. Then, the result is:
$26.98
Find the sum of the interior
angles of a regular nonagon
(9-sided figure).
Answer:
1260°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)Step-by-step explanation:
Step 1: Define
Number of sides n = 9
Step 2: Find
Substitute: 180(9 - 2)Subtract: 180(7)Multiply: 1260°What type of triangle can have one right angle?
acute
equilateral
isosceles
scalene
If r= 1 and 0 = 7, what is the approximate arc length?
20
A. 3.665 units
B. 3.927 units
C. 1.167 units
D. 4.189 units
SUBMIT
The approximate arc length is,
⇒ s = 3.665 units
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
The arc length (s) is given by,
⇒ s = r·θ
Here, We have;
r = 1
θ = 7π / 6
Hence, We get;
s = 1 × 7π/6
s = 3.665 units
Thus, The approximate arc length is,
⇒ s = 3.665 units
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The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)
Answer:
(40,35)
Step-by-step explanation:
Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.
Now we just test out each x and y possibility
We know 5x+3 > 300
So lets try the first one
30 is x
45 is Y
5*30=150
45*3=135
Now if you add them
285
285 is not greater than 300 so thats wrong
SO B is correct
But lets check just in case
5*40=200
3*35= 105
305 IS greater than 300
305 > 300
SO B is correct
The point (40,35)
Please help me I appreciate it thank you so much
Answer:
yes
Step-by-step explanation:
math
find the area of the right triangle with a base of 38cm and the height of 26cm
a. 128cm
b.247cm
c.324cm
d.494cm
Austin answered 47 out of 50 questions correct on a test. What percentage grade did Austin receive on his test?
If there is an increase in the money supply that causes money to lose its
purchasing power and leads to inflation, what happens to prices?
A. They cease to exist.
B. They fall.
C. They rise
D. They stay the same
Answer: C
They Rise
Step-by-step explanation:
Cuz i did the quiz lol
The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does the gym have
Let [tex]b[/tex] be the number of baseball and [tex]k[/tex] be the number of basket ball.
We have the following system:
[tex]\begin{cases}b=4k\\b+k=25\end{cases}[/tex]
Substitute the first equation into the second:
[tex]4k+k=25 \iff 5k=25 \iff k=5[/tex]
which yields
[tex]b=4k=4\cdot 5 = 20[/tex]
So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.
Given f-1(x)=-34x+2, which equation represents f(x)?
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help, help
Answer:
10 dollars
Step-by-step explanation:
Answer:
10!
Step-by-step explanation:
So the cashier counts 80 bills and if each bill was 10 dollars, then that would equal the total. ($800) Because 80 x 10 equals 800.
Hope this helps!. :)
At Hearth and Home the price for 2 candles is $8.00. At Homeland the price for 3 candles is $15.00. How many dollars will you save if you buy 6 candles from Hearth and Home instead of Homeland?
Answer:
answer is 6
Step-by-step explanation:
hard to explain but you have to find the price of 1 candle
The measures of the angles of a triangle are shown in the figure below. Solve for x.
480
33°
*
After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. Write an equation
Answer:
W x T = 8 or 2w x t = 8
Step-by-step explanation:
Answer:
After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. how much did the baby way a 12 months
Step-by-step explanation:
8 x 2 =16 16 x 12= 192 so the baby will be 19 pounds and 2 ounces at 12months
The net of a pyramid is shown below: The net of a square based pyramid, with bases labeled 7 inches and the height of the triangle labeled 14 inches. The surface area of the solid is square inches. (3 points)
Answer:
245 in²Step-by-step explanation:
The surface area is the sum of the areas of square base and triangle sides
S = 7² + 4*(1/2*7*14) = 49 + 196 = 245 in²Answer:
7 x 14 x 4 = 392
Step-by-step explanation:
LA cow's stomach produces about 20
cups of gastric acid each day. If I liter
equals 4.2 cups, how many liters is this?
Round your answer to the nearest liter.
A. 4 liters C. 80 liters
B. 5 liters D. 84 liters
What is the L.C.M OF 8,
5 AND 9
Answer:
What is the L.C.M OF 8,
5 AND 9
Step-by-step explanation:
What’s the formula for the sequence 9, 14, 19, 24, ...?
Answer:
add 5
Step-by-step explanation:
Answer:
+5
Step-by-step explanation:
It keeps adding five so,
14, 19, 24, 29, 34,39,44...
four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greatest value?
Answer:
Devon
Step-by-step explanation:
lets use t=1 to compare
1. -5(12t+9)
if t = 1, -5(12+9) = -5(21) = negative number
2. 2(-6t-8)
if t = 1, 2(-6-8) = 2(-14) = negative number
3. -6(-2t+18)
if t = 1, -6(-2+18) = -6(16) = negative number
4. (-4(-3t-2)
if t = 1, -4(-3-2) = -4(-5) = 20 positive number
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D
Question 16
A piece of cardboard measures 24 inches on each side. Congruent squares on all 4 corners will be cut out to fold the cardboard into a pizza box for Tony's Pizza.
Answer:
you search on doutnut ok dear
The function g is defined by the following rule. g(x) = 5x +1
The table for the function is,
x -3 -2 1 4 5
g(x) -14 -9 6 2 26
What is a function?A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given a function g(x) = 5x + 1
to find the values of g(x) for given values of x
when x = -3
g(x) = 5x + 1
g(-3) = 5(-3) + 1
g(-3) = -14
when x = -2
g(-2) = 5(-2) + 1
g(-2) = -9
when x = 1
g(1) = 5(1) + 1
g(1) = 6
when x = 4
g(4) = 5(4) + 1
g(4) = 21
when x = 5
g(5) = 5(5) + 1
g(5) = 26
Hence the values for g(x) are -14, -9, 6, 21, and 26 respectively.
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please answer asap I really need it til 2.00 p.m, A sporting good store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making theone-day sale price of the ski set $321.
Find the original selling price of the ski set ?
Answer:
the ski original price is 641
Step-by-step explanation:
Answer:
Step-by-step explanation:
you cant find the answer without knowing what discount was given sorry