The fabric that she cannot use is the softballs.
Which fabric can she not use?A proper fraction is a non-integer that is made up of a numerator that is smaller in value than the denominator. A mixed fraction is a fraction that is made up of an integer and a proper fraction. An example of a mixed fraction is 1 7/8.
The first step is to determine the total amount of fabric needed for the 4 friends : 1 7/8 x 4
15/8 x 4 = 60 /8 = 7 1/2 yards
The second step is to convert the mixed fractions to decimals, by dividing the numerator by the denominator and adding the integer.
7 1/2 = 7.5
73/5 = 7.6
The fabric that cannot be used as the fabrics that are less than 7.5 yards.
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Which digit is in the hundred-thousands place in the
(12) number 987,654,32
what does (x+4)(2x+5) equal?
Step-by-step explanation:
[tex](x+4)(2x+5)\\\\2x^2+5x+8x+20\\\large\boxed{2x^2+13x+20}[/tex]
What are the solutions of the following systems? Explain.
a. -x + y= -2 2x - 2y = 0
The system of equations, -x + y = -2 and 2x - 2y = 0, has no solution.
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
Given two equations in x and y,
-x + y = -2 (equation 1)
2x - 2y = 0 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -x + y = -2 ⇒ y = x - 2
2x - 2y = 0 (equation 2)
2x - 2(x - 2) = 0
2x - 2x + 4 = 0
4 = 0
Since we do not have a definite value for x, and neither will be for y, the system of equation has no solution.
Checking the slope,
(equation 1) -x + y = -2 ⇒ y = x - 2
m = 1
(equation 2) 2x - 2y = 0 ⇒ y = x
m = 1
Since the two equations has the same slopes but different y-intercepts, then these two equations must be parallel with each other.
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Identify the constant of variation. y=(3/2)x
The constant of variation in y = (3/2)x is (3/2)
y = kx (Where k is the constant)
Here, y = (3/2)x
so k = (3/2)
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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show that the value of cos30 degrees x tan60 degrees + sin30 degrees is an integer
Answer:
Step-by-step explanation:
cos(30) x tan (60) + sin (30) = (√3)/2 x √3 + 1/2 = 3/2 + 1/2 = 4/2 = 2
pls help me with my math homework
Answer:
55 sq ft
Step-by-step explanation:
okay so the are of the lil square is 9 sq ft and the area of the big square is 64 sq ft so j subtract the small from the big
Answer: 55cm ^2
Step-by-step explanation:
Area of a square is A=a^2
Area of small square is 3cm^2 = 9cm^2
Large square has an area of 8cm^2 = 64cm^2
64 - 9 = 55 cm^2
Therefore the remaining area is 55 centimeters squared
The Great Pyramid measures 756 feet on each side of the base and the height is 481 feet. Find the volume of the pyramid.
The volume of pyramid is 9.16×10⁷ feet³.
We are given the measure of each side of Great Pyramid, which will be it's length and width. Also, we are given height. The formula for calculation of volume of pyramid is -
Volume = (length×width×height)÷3
Keep the values in formula to find the volume of Great Pyramid
Volume = (756×756×481)÷3
Performing multiplication on Right Hand Side of the equation to find the volume of Great Pyramid-
Volume = 274908816÷3
Solving the Right Hand Side of the equation, by performing division, we get the volume of Great Pyramid -
Volume = 9.16×10⁷ feet³
The volume of Great Pyramid is 9.16×10⁷ feet³.
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Jim buys a watch by making a $25 down payment and paying 15 installments of $12 each. What is the total cost of the watch?
Show work please and please help
Bounce 2 is 2
Bounce 4 is 1/2
Bounce 5 is 1/4
Bounce 6 is 1/8
all of your equivalent heights are correct.
m∠3=82.find m ∠4. i need help for my iready question
Find the mean of the data set: 9, 4, 7, 3, 10, 9
Answer: 7
Step-by-step explanation: You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
What is the slope of the function?
pls answer
Answer:
slope = -4
Step-by-step explanation:
slope = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{-10 - (-2)}{-2 - (-4)}[/tex] = [tex]\frac{-10 + 2}{-2 + 4}[/tex] = [tex]\frac{-8}{2}[/tex] = -4
The activation energy of a reaction is 133.5 kj, and frequency factor (a) is 8.23 x 1010 sec -1, at what temperature (in celsius) is the rate constant equal to 0.08857 sec-1?
955°C is temperature (in celsius) is the rate constant equal to 0.08857 sec-1.
What is the short definition of activation energy?
The least amount of energy necessary to bring atoms or molecules into a state where they can undergo chemical transformation or physical transport is known as the activation energy .
K = [tex]A . e^{\frac{-Eq}{RT} }[/tex]
logk = logA = Eq/RT
log0.02629 = log5.57 × [tex]10^{10}[/tex] sec-1 - [tex]\frac{125.6 * 10^{3} }{8.314 * T}[/tex]
= log5.57 + [tex]log 10^{10}[/tex] - [tex]\frac{12.56 * 10^{3 J} }{8.314 * T}[/tex]
= log5.57 + 10log10 - 15.10 * 10³ J/T
-1.5483 = 0.7458 + 10 - 15.10 * 10³/ T
-1.5483 = 10.7458 - 15.10 * 10²/T
- 15.10 * 10³/ T = -1.5483 - 10.7458
15.10 * 10³ /T = 12.2941
T = 15.10 * 10³/ 12.2941
= 1228K
= 955°C
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Ashley has a deck that measures 22 feet by 11 feet. She wants to increase each dimension by equal lengths so that its area is tripled. By how much should she increase each dimension?
The dimensions of the decks increased by the 11 feet.
According to the statement
We have to find that the length by which we increase the dimensions.
So, For this purpose, we know that the
The Area is the amount of space occupied by a two-dimensional figure.
From the given information:
Ashley has a deck that measures 22 feet by 11 feet. She wants to increase each dimension by equal lengths so that its area is tripled.
Then
The shape of the deck is the rectangle then dimensions is 22 feet by 11 feet.
Then
Area of the deck with the given dimensions = Length * Breadth
Area of the deck with the given dimensions = 22* 11
Area of the deck with the given dimensions = 242.
Then the dimensions increased by the x
Then
Area of the deck with the given dimensions = Length * Breadth
Area of the deck with the given dimensions = (22+x)* (11+x)
Area of the deck with the given dimensions = 242 + 22x+11x+x^2
Area of the deck with the given dimensions = 242 + 33x+x^2
Then according to given details:
x^2 + 33x + 242 = 3*242
x^2 + 33x + 242 = 726
x^2 + 33x = 726 - 242
x^2 + 33x = 484
x^2 + 33x - 484 = 0
After solving
The value of the x become
x = 11 and x = -44
Then second option be neglected.
Then the length increased by the 11 feet.
So, The dimensions of the decks increased by the 11 feet.
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HELP PLS which one is least
Answer:
Option B
Step-by-step explanation:
→ Find the option with the smallest power
Option B
Dan is saving money to buy a game. So far he has saved $12, which is two-thirds of the total cost of the game. How much does the game cost?
write an equation for the circle
Solve each inequality and describe the steps
|1.3x + 7.8| > 0
The value of the inequality is x > 6
What are inequalities?Inequalities are defined as mathematical relations that makes a non-equal comparison between two numbers , elements or expressions.
They are also used to compare two numbers on the number line by their size.
It is an order relationship showing —greater than, greater than or equal to, less than, or less than or equal to
Given the expression;
|1.3x + 7.8| > 0
collect like terms
1. 3x > 0 + 7. 8
1.3x > 7. 8
Make 'x' the subject
Divide both sides by 1. 3
1. x/ 1. 3 > 7. 8/ 1. 3
x > 6
Thus, the value of the inequality is x > 6
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Find the value of x for the given values of a and b .
b=3 x+4 a , for a=-9 and b=12
The value of X in the equation that allows a solution with the values of "a" and "b" is x = 16
What are the equations?An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.
Equations can be graphed, just like a function.
We write the given equation
b = 3x + 4a
and we have the values of the coefficients a and b, and these are:
a = -9b = 12We substitute these values in the equation:
b = 3x + 4a
(12) = 3x + 4(-9) :::: We solve the equation
12 = 3x -36
3x = 12 + 36
3x = 48
x = 48/3
x = 16
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Suppose a triangle has sides a, b, and c, and let e be the angle opposite the side of length a. If cose < 0, what must be true? O A. a² + b² = ² O B. b² + c²> a² O c. b² + 2² ²
In the given triangle the statement that holds true is [tex]b^2+c^2 < a^2[/tex]. Therefore, the option (c) is the correct option.
What are cosine formulas?In the cosine formulas, the cosine (cos) function is discussed. Consider a right-angled triangle with one acute angle, x. The cosine formula is cosx = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side adjacent to angle x and "hypotenuse" refers to the longest side of the triangle.
As per cosine rule fore given [tex]$\triangle$[/tex]ABC:
[tex]$\cos \theta=\frac{b^2+c^2-a^2}{2 b c}$$$[/tex]
According to the question;
For a given [tex]$\triangle$[/tex]ABC;
cos e < 0.
Therefore, [tex]\quad \frac{b^2+c^2-a^2}{2 b c} < 0 \\[/tex]
[tex]b^2+c^2 < a^2[/tex]
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Directions: If the statement is true, circle true. If the statement is false, circle false.
15. √115 is between the integers 10 and 11.
TRUE
FALSE
solve 6/7x + 15 - 8 = 31
Answer:
Step-by-step explanation:
simplify
6/7x + 7= 31
6/7x+7-7=31-7
6/7x=24
6/7x=24/6/7
28
6/7(28)+15-8=31
24+15-8=31
39-8=31
Question 5 (2 points)
Natalie wants to make sure she has enough in her account to go out to dinner with her friends. When she views her online bank statement, her
current available balance is not showing. This is what she can see:
Current posted balance: $87.73
Pending withdrawals/debits: $97.68
Pending deposits/credits: $126.02
Available balance:
What is Natalie's current available balance?
Answer: $
Blank 1:
Natalie’s current available balance is $116.07.
To find current available balance, we need to subtract pending deposits/ credits with pending withdrawals/ debits.
Account Balance = Pending deposits / credits – Pending Withdrawals /debits
= $126.02- $97.68 = $28.34
Available Balance = Account Balance + Current Posted Balance
= $28.34 +$87.73 = $116.07
Current Available Balance = $116.07
The balance in checking or demand accounts that is available for use by the client or account holder is known as the available balance. The accessible balance of an account holder may not match the current balance. Any unfinished transactions are often included in the current balance.
Pending Deposit Credits: Pending check deposits that haven't been processed, haven't been credited to your account, or didn't have availability when we got them.
Pending Deposit Debits: Your account is put on hold for the transaction's amount until it is processed.
Hence Natalie’s current available balance is $116.07.
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Question 15 (1 point)
(01.04 MC)
Darnell is planning a trip to Dallas. He knows the hotel costs $155 per night and the round-trip flight is $99. He has a budget of $850 to spend
on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Dallas?
OO
Ob
Od
99n+ 155 2 850
99n+155 ≤ 850
155n+99 2 850
155n+ 99 ≤ 850
The inequality that represents the number of nights he can stay in Dallas is 155n+ 99 ≤ 850 (option d).
How many nights can he stay in Dallas?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toSince his budget is $850, he can spent a total of $850 or less than $850 on the trip. The sign that would be used to represent this is ≤.
(Total hotel stay cost) + cost of flight ≤. budget
(cost per night x number of hotel stays) + $99 ≤ $850
155n + $99 ≤ 850
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Answer:
Answer is D
Step-by-step explanation:
Determine the slope of the line that contains the given points.
P(-3,-5), Q(-3,-1)
The slope of the line containing (-3,-5) and (-3,-1) is Infinity.
The slope of a straight line can be written as follows,
m = [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex] equation1
The line is containing the points (-3,3) and (4,3). So, we can write
[tex]y_{2}[/tex] = -1 , [tex]y_{1}[/tex] = -5 , [tex]x_{2}[/tex] = -3 , and [tex]x_{1}[/tex] = -3 .
On substituting the values of variables in equation1, we will get
m = ( (-1)-(-5) ) / ( (-3)-(3) ) = (4/0) = Infinity.
As the slope of a line is Infinity, so we can conclude that the given line is a straight line.
Here:
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (-3,-5) and (-3,-1) is Infinity.
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Find the sum of each finite arithmetic series. 1+4+7+ . . . . . .+31
The sum of finite arithmetic series 1+4+7+ . . . . . .+31 is S(11) = 176
The given arithmetic series is:
1+4+7+ . . . . . .+31
From the above series, we know that:
The first term, a(1) = 1
The last term, a(n) = 31
The common difference, d = 4 - 1 = 3
Recall the formula to find the nth term of an arithmetic sequence:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 1, a(n) = 31, and d = 3:
31 = 1 + (n-1) . 3
31 = 3n - 2
3n = 33
n = 11
In an arithmetic series, the sum of the first n terms is given by:
S(n) = n/2 [ a(1) + a(n) ]
Substitute n = 11, a(1) = 1, and a(n) = 31:
S(n) = 11/2 (1 + 31)
S(11) = 11. 16 = 176
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I WILL MARK BRAINLIST!!!! PLEASE HELP ITS A MATH QUESTION IM NOT SURE IF ITS OPTION A ?
THANK YOU SO MUCH !!! thankful for the help!
Answer:
44 °
Step-by-step explanation:
In a right triangle such as this
sin B = opposite leg / hypotenuse
sin B = 20 / 29
B = arcsin (20/29) = 44 degrees
Which equation represents a line which is perpendicular to the line y = 2x - 5?
Step-by-step explanation:
y = 2x + C
we must want to find C
What's 3/10 + 8/15? (Brainliest Question)
Answer:
5/6
Step-by-step explanation:
Get LCD of 30 and add
9/30 + 16/30
25/30
Reduce
5/6
Find each product or quotient.
-2.1 . (-3.5)
The product of -2.1. (-3.5) is 7.35
The product of (-2.1 ) and (-3.5) = [tex]-2.1\times-3.5[/tex]
= 7.35
So, the product of (-2.1) and (-3.5) is 7.35.
What is the quotient?The quotient is the number which is produced when we perform division operations on two numbers. Fundamentally, it is the result of the division method. There are four primary wordings utilized within the arithmetic division such as divisor, dividend, quotient and remainder.
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