Answer
68 bicycles.
Let there be x bicycles, then there are (93 - x) tricycles.
From the given values:
2x + 3(93 - x) = 211
2x + 279 - 3x = 211
-x = 211 - 279 = -68
x = -68/-1 = 68.
Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. '
Here given that,
Adam made note of all the bicycles and cars he could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels.
Suppose that there are [tex]x[/tex] bicycles, then there are [tex](93 - x)[/tex] bicycles.
So,
[tex]2x + 3(93 - x) = 211\\2x + 279 - 3x = 211\\-x = 211 - 279 = -68\\x = \frac{-68}{-1}\\x= 68.[/tex]
Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.
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A rectangular lettuce patch, 560 square feet in area, is to be fenced off against rabbits. Find the least amount of fencing required if one side of the land is already protected by a barn. What are the dimensions?
The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft
Let x represent the length of the fence and y represent the width of the fence.
Since the area is 560 square feet, hence:
Area = length * width
560 = xy
y = 560/x
One side of the land is already protected by a barn, hence:
Perimeter (P) = x + x + y = 2x + y
P = 2x + y
P = 2x + 560/x
For least amount of fencing, dP/dx = 0, hence:
dP/dx = 2 - 560/x²
0 = 2 - 560/x²
560/x² = 2
2x² = 560
x = 16.7
y = 560/16.7 = 33.5 ft
The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft
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In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?
Answer:
114p
Step-by-step explanation:
I did the math, I really hope it's correct
The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Normal price of bottle [tex]=76p[/tex]
And,
Offer is buy one get one half price.
So,
According to the question,
Normal price of one bottle [tex]=76p[/tex]
Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]
So,
Price of three bottles [tex]=76*2+38[/tex]
[tex]=190p[/tex]
So, Price of three bottles is [tex]190p[/tex] .
Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .
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Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94
Answer:
18
Step-by-step explanation:
From the above question,
We have the Algebraic expression
(5x - 4)° + 94° = 180°
5x - 4° + 94° = 180°
5x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18
Answer:
18
Step-by-step explanation:
−14 − 8x = −2(−3x + 7)
Answer:
-8x=6x+14-14
-8x-6x=0
-14x=0
X=0/14
X=0
?????
Answer:
X= 0 or Zero
Step-by-step explanation:
Steps To solve this problem... (8 steps)
1) Rearrange terms:
−14 − 8x = −2(−3x + 7)
−8x − 14 = −2(−3x + 7)
2) Distribute:
−8x − 14 = −2−(3x + 7)
−8x − 14 = 6x - 14
3) Add 14 to both sides of the equation:
−8x − 14 = 6x - 14
−8x − 14 + 14 = 6x - 14 + 14
4) Simplify (Add the numbers):
-8x = 6x
5) Subtract 6x from both sides of the equation:
-8x = 6x
-8x - 6x = 6x - 6x
6) Simplify (Combine like terms):
-14x = 0
7) Divide both sides of the equation by the same term:
-14x = 0
-14x/-14 = 0/-14
8) Simplify (Cancel terms that are in both the numerator and denominator):
X= 0/-14
Hope this Helped! :)
Can anyone answer 20-24
3.) 4(m + 5) + 42, (m = -2)
Answer:
54
Step-by-step explanation:
The variable m equals -2, so what you would do is plug it into the equation.
4(-2+5)+42
Next you would distribute the 4 into -2 & 5.
(-8+20) + 42
Add what's in the parenthesis.
12 + 42
Once you add that you will be left with your answer which is 54.
Hope this helped!
Huilan is 13 years younger than Thomas. The sum of their age is 41. What is Thomas's age?
Answer:
27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Let's set Huilan's age to h and Thomas's age to t.
Since Huilan is 13 years younger than Thomas, we can write:
h = t - 13The sum of both their ages is 41, so let's combine the variables h and t together.
h + t = 41We said that h = t - 13, so substitute this value into the equation.
(t - 13) + t = 41Combine like terms.
2t - 13 = 41Add 13 to both sides of the equation.
2t = 54Divide both sides of the equation by 2.
t = 27Thomas's age is 27 years old.
Thank you L for helping me with this question :)
what's
[tex] {3}^{4} [/tex]
What is the value of 3⁴
SOLUTION:▶️ 3⁴ = 3×3×3×3
▶️ 3⁴ = 81
ANSWER:The value of 3⁴ is 81..
There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?
Answer:
Step-by-step explanation:
5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.
Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!
Answer:
did you ever figure out what the answer was it was because working on this and don't know what to do
Step-by-step explanation:
Answer:
Rational Numbers: √400 | -5/250 | 5.012121212...
Irrational Numbers: √1000 | ^3√30 | 0.01562138411...
The percent of change in the test scores was 12%. If the amount of change was 6 points, what was the original number of points?
Answer:
Step-by-step explanation:
100(a+6-a)/a=12
100(6)/a=12
600=12a
a=50
Find the area of the shaded region.
Answer:
80
Step-by-step explanation:
multiply 10 by 8
(If it is not right... i apoligize but i don't see a shaded region)
Answer:
80 in
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in
Hope this Helped
which number line shows the inequality 4x-3>-7
x>-1
Step-by-step explanation:
I don't see any number lines but it would be one with an open circle going right from -1.
FIND THE AREA
WORK PLEASEEE and thank you
Answer:
Some ways on how to solve the questions:
Use formulas as given by your teacher.
Application of the Pythagorean Theorem would be useful for 5 and 6.
For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)
For 11 and 12 draw it out.
3x - 5 = -3 is the answer positive or negative
Answer:
positive
Step-by-step explanation:
if you time the three by a postive then times that by a negetive you get a negitive if you time by two negitives you get postive
In the expression 3x - 5 = - 3 the value of x is positive 2/3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 3x - 5 = - 3.
3x = - 3 + 5.
3x = 2.
x = 2/3 so x is positive.
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please help! give the answer in simplified form
Answer:
5a. 8:21
6a. 26:1
Triangles are similar Find the value of x.
Please help Thank you in advanced
Answer:
x=36
Step-by-step explanation:
14/42=12/x
14x=12(42)
14x=504
x=36
-6x-7-4x-2 How can I solve this?
Use PEMDAS
Parentheses first
Exponents next
Multiplication then
Division in the same step
Addition then
Subtraction
The correct answer is 10x-9
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),
Answer:
10
Step-by-step explanation:
Solve the equation. 8w = 48
Answer:
8w=48
This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.
Answer:
w = 6
Step-by-step explanation:
Solve
8w = 48
8w/8 = 48/8
= w = 6
Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.
Step-by-step explanation:
Given
diameter (d) = 9 ft
radius (r) = 9/2 = 4.5 ft
Area of the circle
= πr²
= 3.14 * ( 4.5) ²
= 3.14 * 20.25
= 63.585
= 63.59 ft
Hope it will help :)
I NEED HELP PLZ HELP ME
Answer:
a) 50+10p
b) 30+12p
c) 10 pies
d) $150
Step-by-step explanation:
Use the equation below to find the y, M=11, x=2 and B=5
Answer:
The length and breadth of a rectangular
field are equal to 600 m and 400 m
respectively. Find the cost of the grass to be
planted in it at the rate of ₹ 2.50 per m2
Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.
Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05
Answer:
it's 4 on edge
Step-by-step explanation:
I got it right
The value is in the domain of f(x) is 4, the correct option is C.
What is the domain and range of the function?
The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
f(x) =-2x + 3,0 < x < 4
Now,
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:
Domain of f(x) = (-6, 0) U (0, 4)
Therefore, by the domain the answer will be 4.
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8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?
Answer:
it took him 15 more minutes it would be 45 minutes in all
Step-by-step explanation:
I hope I helped!!
Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?
Answer:
for step of kepp of yours alive
A clothing store sells clothing for 2 times the wholesale plus $10. The store sells a pair of pants to customers for $48. How much did the store pay wholesalefor the pants?
Answer:
19$
Step-by-step explanation:
Let w represent the wholesale cost of the pants, or the price paid by the store
2w + 10 = 48 Subtract 10 from both sides.
2w = 38 Divide both sides by 2.
w = 19