Answers
The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.
To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.
Related Questions
22/100 simplist form
Answers
Answer:
11/50 is the simplified form of the given expression.
Step-by-step explanation:
22/100
We will cancel the values by the table of 2
11/50 is the simplified form of the given expression.
Hope it will help you :)
22 divide 2 = 11
100 divide 2 = 50
Simplify (5x3y) (2xy4)
Answers
Answer: 10x^4y^5
Step-by-step explanation:
5x^3y^1•2x^1y^4
5•2=10
x^3•x^1=x^4
y^1•y^4=y^5
10x^4y^5
If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
Answers
Answer:
NL = 440 /13 or 33.85 (to two decimals)
Step-by-step explanation:
Consider triangles JKL and NML
angle JLK = angle NLM vertical angles
angle KJL = angle MNL given
Therefore triangles JKL and NML are similar
By proportion of corresponding sides of similar triangles,
NL / JL = LM / LK
Substitute given values
NL / 20 = 22 / 13
solve for NL
NL = 20*22 / 13 = 440 /13 or 33.85 (to two decimals)
Answer:
[tex]\huge \boxed{33.85}[/tex]
Step-by-step explanation:
JL is similar to NL. KL is similar to ML.
We can use ratios to solve.
JL/KL = NL/ML
Let the length of NL be x.
20/13 = x/22
Cross multiply.
13 × x = 22 × 20
13x = 440
Divide both sides by 13.
(13x)/13 =440/13
x = 440/13 = 33.846154...
(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-ab−ab, minus, a ?
Answers
Answer:
5Step-by-step explanation:
Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.
On expanding the left hand side of the expression we have;
= (8x² −15x)−(x² −27x)
Open the paranthesis
= 8x² −15x−x²+27x
collect the like terms
= 8x²−x²+27x −15x
= 7x²+12x
Comparing the resulting expression with ax²+bx
7x²+12x = ax²+bx
7x² = ax²
a = 7
Also;
12x = bx
b =12
The value of b - a = 12 - 7
b -a = 5
Hence the value of b-a is equivalent to 5
The value of b minus a is 5
Calculation of the value:Since the expression is
[tex](8x^2 -15x)-(x^2 -27x) = ax^2 +bx[/tex]
Here we have to expand the left-hand side of the expression so it should be like
[tex]= (8x^2 -15x)-(x^2 -27x)\\\\= 8x^2 -15x-x^2+27x\\\\= 8x^2-x^2+27x -15x\\\\= 7x^2+12x[/tex]
Now
[tex]7x^2+12x = ax^2+bx\\\\7x^2 = ax^2[/tex]
a = 7
Also;
12x = bx
b =12
So,
The value of b - a = 12 - 7
b -a = 5
Hence the value of b-a should be 5
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Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?
Answers
Options :
A. 6 cups of flour
B.7 cups of flour
C.8 cups of flour
D.9 cups of flour
Answer:
B.7 cups of flour
Step-by-step explanation:
Given the following :
Cups of flour required to make muffins = 3 1/5
Cups of flour required to make banana = 3 2/3
Number of cups of flour required to make both recipe :
(cups of flour required to make muffins + cups of flour required to make bread)
(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)
= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)
6 13/15 = 6.8666666
The best estimate is to round to the nearest whole number = 7
Answer: The answer is 7
Step-by-step explanation:
I got it right in my quiz! Hope this helps (:
The perimeter of a rectangle is 10 feet. If twice the width is equal to half of the length , find the dimensions of this rectangle.
WRITE AS AN EQUATION
Answers
w = 1ft
l = 4ft
Step-by-step explanation:P =2w + 2l
2w = l/2 => l = 4w
10ft = 2w + 2×4w
10ft = 2w + 8w
10ft = 10w
w = 10ft/10
w = 1 ft
l = 4w
l = 4×1ft
l = 4 ft
Answer:
length = 4 ft
Width = 1 ft
Step-by-step explanation:
Let length = l ft
Width = w feet
[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]
Perimeter = 10 ft
2*(l +w)= 10
2*( 4w + w ) = 10
2*5w = 10
10w = 10
Equation: 10w = 10
Divide both sides by 10
10w/10 = 10/10
w = 1 ft
Plug in the value of w in l = 4w
l = 4 *1
l = 4 ft
I need an explanation written out for (0.345)(2.1)
Thank you
Answers
Answer:
0.07245
Step-by-step explanation:
Just work out 345*21 and then divide by 10,000 because 0.345 is 3 digits from zero and 2.1 has 1 digit from zero, so total of 4 zeroes (10,000 since 10,000 has 4 zeroes).
10 points please help
Answers
Answer:
[tex]\frac{14}{55}[/tex]
Step-by-step explanation:
note that
n! = n(n - 1)(n - 2) .... × 3 × 2 × 1
Given
[tex]\frac{8!9!}{5!12!}[/tex]
Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from
5! ( 5 × 4 × 3 × 2 × 1 ) leaving
8 × 7 × 6 = 336 on the numerator
Similarly
Cancel the terms from 9! and 12!
leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to
[tex]\frac{336}{1320}[/tex]
= [tex]\frac{14}{55}[/tex]
a table was sold at 20%loss but had it sold for RS 160 more these would have been a profit 20%. find cp
Answers
Answer:
Rs 400
Step-by-step explanation:
Let us assume that the cost price of the article = x
Selling price = S.P
Cost price = C.P
Loss = %Loss × C.P(percentage loss × Cost Price)
S.P = C.P - Loss
In the question, Loss = 20%
S.P = x - 20x/100
Find the Lowest Common Multiple
S.P= 100x - 20x/100
S.P = 80x/100.........Equation 1
In the question, we are told if the article was sold for RS 160 more, it would have made a profit of 20%
Profit = %profit × C.P(percentage profit × Cost Price)
S.P = C.P + Profit
In the question, profit = 20%
S.P = x + 20x/100
Find the Lowest Common Multiple
S.P= 100x + 20x/100
S.P = 120x/100.........Equation 2
Hence,
Equation 2 - Equation 1 = Rs 160
= 120x/100 - 80x/100 = 160
= 40x/100 = 160
Cross multiply
40x = 100 × 160
40x = 16000
x = 16000/40
x = Rs 400
Since x = Cost price, the cost price of the table = Rs 400
In XYZ, what is the cosine ratio of X?
Answers
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.
Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is
Answers
Answer:
The answer is
[tex] \sqrt{97} \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J( – 8,0) and K(1, 4)
The distance between them is
[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]
We have the final answer as
[tex] \sqrt{97} \: \: \: units[/tex]
Hope this helps you
PLEASE HELP ME !!!!!!!!!!
if the distance of load from hinge and spring balance are 35 cm and 15 cm respectively. What is the load weight used if the applied force is 4N ?
Answers
Answer:
The load weight is 2.29 N
Step-by-step explanation:
We note that at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;
∑M =0
∑F = 0
The parameters given are;
The distance of the load from the hinge = 35 cm
The distance of the load from the spring balance = 15 cm
The applied force on the spring balance = 4 N↑
The direction of the applied force on the spring balance = Upwards
Let the weight of the load = W↓
The direction of the weight of the load = Downwards
We use downward negative and upward positive coefficients for the forces
We take moment about the hinge as follows;
Sum of moments equals zero gives;
4 × (35 - 15) - W × 35 = 0
∴ 4 × (35 - 15) = W × 35
4 × 20 = W × 35
W = 4 × 20/35 = 2.29 N
The weight of the load = 2.29 N.
Answer:
The load weight is 2.29 N
hope it helps
7 less than the quotient of a number 5 and w in a algebraic expression.
Answers
Answer:
5/w -7
Step-by-step explanation:
quotient means division
5/w
less than means it comes after
5/w -7
Answer:
5/w-7
Step-by-step explanation:
First, let's write out "the quotient of a number 5 and w"
The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.
5/w
Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.
5/w-7
7 less than the quotient of a number 5 and w as an expression is: 5/w-7
Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?
Answers
Answer:
(1c times 9/5) +32
That is the way to figure out °1c as 33.8°
Hope it helped
Theresa volunteers at a food shelf. Today she is filling bags of oranges. When she started, there were 213 oranges. After filling x bags with 3 oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill? Part c
Answers
Answer:
Step-by-step explanation:
So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.
First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.
213 - 3x < 51
Now add 3x to both sides,
213 - 3x + 3x < 51 + 3x
213 < 51 + 3x
Now we subtract 51 from both sides,
213 - 51 < 51 - 51 + 3x
162 < 3x
Now we divide both sides by 3,
162/3 < 3x/3
We find the answer,
54 < x
x > 54 bags
Please help me.
List the sides of MNP in ascending order:
m< M = 15, m < N= 75
Answers
Answer:
Take a look at this: https://brainly.com/question/14269575?referrer=searchResults
Step-by-step explanation:
fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12
Answers
Answer:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
How to find the absolute value of |2b+4| with b=-8
Answers
Step-by-step explanation:
the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.
so, we need to calculate the argument first :
2b + 4 = 2×-8 + 4 = -16 + 4 = -12
|-12| = 12
that's it.
Define the six trigonometric functions in terms of x and y
Answers
Answer: Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.
Step-by-step explanation:
Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.
The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function. Trigonometric functions have a periodic nature. As opposed to tangent and cotangent, which have period, sine, cosine, secant, and cosecant all have period 2.
What is trigonometry?Studying the correlations between triangle side lengths and angles is the subject of trigonometry, a branch of mathematics. By using geometry to study astronomy, the field first appeared in the Hellenistic civilization during the third century BC. The earliest documented tables of values for trigonometric ratios (sometimes called trigonometric functions) such as sine were developed by mathematicians in India, while the Greeks concentrated on chord calculation.
Geodesy, surveying, celestial mechanics, and navigation are just a few of the fields where trigonometry has been used historically. The various identities of trigonometry are well recognized.
These trigonometric identities are frequently used to simplify, discover a more practical form for, or solve equations involving trigonometric expressions.
To know more about trigonometry visit:
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complete question:
Explain what is meant by the period of a trigonometric function. what are the periods of the six trigonometric functions?
Campbells soup company want to create a new sized cam for a new line of soups.If the can holds a volume of 3416.32 cm and the height of the can is 17cm what is the area of the base of the can
Answers
Answer:
200.96cm²Step-by-step explanation:
Volume of the can is expressed as Length *Breadth* Height.
If the area of the can base is Length * Breadth
Volume of the can = area of the base of the can * Height
Given parameters
Volume of the can V = 3416.32cm³
Height of the can h = 17cm
Required
Area of the base of the can
Substituting the given parameters into the formula we have;
V = Ah
A = V//h
A = 3416.32/17
A = 200.96cm²
Hence, the area of the base of the can is 200.96cm²
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answers
Answer:
approximately 9.2195
Step-by-step explanation:
We can use Pythagorean theorem
one leg is 7 and the other leg is 6
square them
49 and 36
add
85
square root
approximately 9.2195
A rock falls from a tower that is 416 ft high. As it is falling, its height is given by the formula h=416-16t^2. How many seconds will it take for the rock to hit the ground (h=0)?
Answers
5.1^2 = 26.01
416/16 = 26
26*16 = 416
PLEASE HELP ME ANSWER THIS QUESTION
Answers
Answer:
x = 0
y = -2
Step-by-step explanation:
2304.06 is written in expanded form
4 is unit place. So, 4 *10⁰ = 4 * 1 = 1 {Any integer to the power of 0 is 1}
x = 0
6 is hundredth place = 6 * 1/100 = 6*10⁻²
y= -2
the Marked price of a book is rupees 200 if a discount of 10% is offered find the selling price of the book
Answers
Answer:
Rs 180
Step-by-step explanation:
sp=200
discount=10%
10/100*200=20
200-20
180
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. What percentage of flu vaccine has been given?
Answers
Answer:
94.33
Step-by-step explanation:
add up all numbers then input into a percentage calculator
Percentage of flu vaccine has been given 94.33%
What is percentage?
Percentage is defined as ratio expressed as a fraction of 100.
The physician have total 1500 flu injections
300 shots given in September,
450 shots given in October,
and 665 shots given in November,
Total flu vaccine has been given = 300+450+665 = 1415
Percentage of flu vaccine has been given = (1415/1500)×100%
Percentage of flu vaccine has been given = 0.9433×100%
Percentage of flu vaccine has been given = 94.33%
Hence, percentage of flu vaccine has been given 94.33%
Learn more about percentage
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Angle Terminology with Equations
Aug 03, 8:18:32 AM
?
ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
EN O
Answer:
Submit Answer
attempt 1 out of 2
Pls help
Answers
If both are complementary then their sum will be 90°
[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]
[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]
[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]
[tex]\\ \sf\longmapsto 3x-12=90[/tex]
[tex]\\ \sf\longmapsto 3x=90+12[/tex]
[tex]\\ \sf\longmapsto 3x=102[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]
[tex]\\ \sf\longmapsto x=34[/tex]
Now
[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]
If x = a sin teta and y = b cos teta
Find the value of b^2x^2+ a^2y^2
Plssss plsss helppp
Answers
[tex]\\ \sf\longmapsto b^2x^2+a^2y^2[/tex]
[tex]\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2[/tex]
[tex]\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta[/tex]
[tex]\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)[/tex]
[tex]\\ \sf\longmapsto a^2+b^2(1)[/tex]
[tex]\\ \sf\longmapsto a^2b^2[/tex]
What adds to be the bottom numbers but also multiplies to be the top?
39 at the bottom and 25 on the right above 39
Answers
Answer:
well i cant answr it if i oont have more inforomartion
Step-by-step explanation:
Answer:
Step-by-step explanation:
if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.
n/8 = (-7) help please
Answers
Answer:
n = -56
Step-by-step explanation:
n/8 = (-7)
Multiply each side by 8
n/8* 8 = (-7)*8
n = -56
Answer:
[tex]n=-56[/tex]
Step-by-step explanation:
We can use algebra and simplify the equation until we have n isolated.
[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]
Hope this helped!
Determine what type of model best fits the given stituation. Water leaking from a local reservoir at the rate of 500 gallons per hour.
Answers
Answer:
Well, in the local reservoir we have an initial amount of water A.
And per hour, the amount of water in the reservoir decreases by 500 gals.
So after t hours, the amount of water in the reservoir is:
W = A - 500gal*t
This is a linear equation, so the model that fits best in the given situation is a linear model.
Where the only thing that you need to take in mind, is that the domain of this model is restricted:
This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:
W = 0 = A - 500gal*t
t = A/500 hours
So the domain of this linear relation is:
t ∈ {0h, A/500 }
Answer: lin
Step-by-step explanation: