There are 40 rows with 53 seats in each row.
What exactly are equations?An equation, in its most basic form, is a mathematical statement that shows that two mathematical expressions are equivalent.For example, 3x + 5 = 14 is an equation wherein the 3x + 5 and 14 are two expressions kept separate by a 'equal' sign.This auditorium is divided into rows of seats, and because it is rectangular, each row has the same number of seats.
So we can calculate the total number of seats by multiplying the number of rows by the number of seats in each row. To calculate the area, multiply the length by the width of a rectangle.Assume there are x rows. Because the number of seats in each row exceeds the number of rows by 13, each row would have x+13 seats. There are a total of 2120 seats available.So,
x(x+13) = 2120x2 + 13x = 2120x2 + 13x - 2120 = 0(x+53)(x-40) = 0x = -53, 40Therefore, there are 40 rows with 53 seats in each row because we can't have a negative number of rows.
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A triangular prism is 19 centimeters long. It has a triangular face with a height of 14 centimeters. The volume of the prism is 2,354. 1 cubic centimeters. What is the base of its triangular face?
The base of its triangular face of the triangular prism is found as 17.7 cm.
What is defined as the triangular prism?A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism. It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
volume = 2,354. 1 cubic centimeters.length = 19 cmheight = 14 cm.Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
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4x + 3y = 24
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given
equation represents this situation, which of the following is the best interpretation of 24 in this context?
A The total cost, in dollars, for all binders purchased
B The total cost, in dollars, for all notebooks purchased
C The total cost, in dollars, for all binders and notebooks purchased
D The difference in the total cost, in dollars, between the number of binders and notebooks purchased
Answer:
C The total cost, in dollars, for all binders and notebooks purchased
Step-by-step explanation:
x = the cost of a binder
y = the cost of a notebook
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each.
4x + 3y = 24
If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?
The total cost, in dollars, for all binders and notebooks purchased.
subtracting linear expressions
6. B. 2x + 6
7. A. 4x + 5
8. B. 3x + 10
9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.
a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6. what are the upper and lower bounds of a-b
If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.
Upper and lower boundsGiven:
A= 49.3
B=7.6
Now let find the lower bounds and the upper bounds
Lower bounds is calculated as:
Lower bounds=a-b
Lower bounds=49.35-7.69
Lower bounds=41.66
Upper bounds is calculated as:
Upper bounds=a-b
Upper bounds=49.34-7.55
Upper bounds=41.79
Therefore If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.
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In Alaska, the lowest temperature ever recorded is -80 degree F and the highest temperature ever recorded is 100 degrees F. Write an inequality that represents the range of temperatures (in degrees Celsius) in Alaska.
The equivalent temperature range of the expression is -80 < x < 100.
Inequality expressionsInequality are expressions not separated by an equal sign. Inequality expressions can be written as a range in an interval form a<x<b.
According to the given question, we are told that the lowest temperature ever recorded in Alaska is -80 degree F and the highest temperature ever recorded is 100 degrees F.
The range of the temperature expressed as inequality expression is -80<x<100
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Does anyone know the answer to |3x-2|=19
[tex]3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 [/tex]
x2 =144 if and only if x =12 or x = -12
Answer:
x = 12
Step-by-step explanation:
brainliest
given 8x+4y=16 solve for y
4. Use the graph for the following:
Please answer
Picture is included
Answer:
(a) 9
(b) -2
Step-by-step explanation:
it is very important to start by finding the equation of the line then substitute in some values.
Given that 11th term of an arithmetic progression is u 3 and the first term is 3 find the common difference (b)U th term
The common difference of Uth term is 0
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members
Formula
a_n=a_1+(n-1)d
a_n = the nth term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
we gives
a_n=a+(n-1)d
a_11=a+(n-1)d
a_11=a+(11-1)d
a_11=a+10d
a_11=3+10d
10d=-3
d=(-3)/10, a=3
To find the Uth term of sequence
U_n=a+d(n-1)
U_11=a+d(11-1)
apply the value of a=3,d=(-3)/10
U_11=3+((-3)/10 (11-1) )
U_11=3+((-3)/10 (10) )
U_11=3+(-3)
U_11=0
Therefore, Uth term of arithmetic progression is 0.
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I
Find the equation of the line passing through the points (-15,35) and (15,-19). Write your answer in the
form y=mx+b
Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;
y = -54/30 x + 8
What is equation of line?
Equation of line with slope m is,
y = mx + b
Now, The equation of line is find as;
Slope = -19 - 35 / 15 - (-15) = - 54/30
And, The equation of line in the slope form is;
y = mx + b
For finding the value of b we use any one point and put in the equation of line.
Take point (-15, 35) = (x, y)
Put in the equation of line we get;
35 = -54/30 * (-15) + b
35 = 27 + b
b = 8
Hence, Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;
⇒ y = -54/30 x + 8
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Eddie spends 2.75 on choclate and 1 on cake he has 2/3 0f money left over how much did he start with
Answer:
11.25
Step-by-step explanation:
x/3 = 3.75
x = 11.25
Work has been corrected:
If x - 3.75 = 2/3, then x/3 = 3.75 (3.75 is 1/3 of the total money, X.)
We can find the value of x by isolating the variable:
x/3(3) = 3.75(3)
x = 11.25
Thus the total money, x, is 11.25
Solve this problem by setting up ratios with the information you know.
You know:
Eddie spent 3.75 total on chocolate and cake.He has 2/3 of his money left over after buying chocolate and cakeWith this information, you can assume that he used 1/3 of his money.
With this set up a ratio comparing the numerical amount he spent to the ratio of his total money that he spent:
[tex]\frac{1}{3} =\frac{3.75}{x}[/tex]
x= the total amount of money he started with.
Now cross multiply to come up with a final equation:
x = 3.75 × 3
Solve: x = 11.25
The original amount of money he started with was $11.25
The function f(x) = 100 + 0.75(x - 50) can be used to determine the cost in dollars for printing x, t-shirts.
What is the rate of change of the cost in dollars with respect to the number of t-shirts printed?
$0.75
$50
$100
-$50
Answer:
$0.75
Step-by-step explanation:
Since f(x) is linear, the rate of change is is the coefficient of x
The average temperature of the Earth is T≈300 K. Use Wien’s Law to calculate the peak wavelength that Earth emits as a blackbody radiator.
The peak wavelength that Earth emits as a blackbody is approximately equal to 9.657 × 10⁻⁶ m.
How to determine the peak wavelength that Earth emits as a blackbody radiator
The Wien's displacement law is a consequence of Planck's radiation law, that states the brightness of a radiative body is a function of wavelength at a given temperature. Wien's displacement law states that peak wavelength is inversely proportional to the temperature (T), in Kelvin. The Wien's displacement law is represented by the following formula:
λ' = b / T
Where:
λ' - Peak wavelength, in meter-Kelvin.T - Temperature, in Kelvin.λ' - Peak wavelength, in meters.If we know that b ≈ 2.897 × 10⁻³ m · K and T ≈ 300 K, then the peak wavelength of the Earth is:
λ' = (2.897 × 10⁻³ m · K) / (300 K)
λ' ≈ 9.657 × 10⁻⁶ m
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omg yall someone help me solve this!!!! Simplify (6n) to the power of -2
Answer=0.027777777777778
Step-by-step explanation: = 6−2
=162
=16×6
=136
Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
The population density in country A is 113 people per square mile while in country B, it is 605 people per square mile.
Select one:
O a. Absolute difference: -492 people per square mile
Relative difference: -81.3%
O b. Absolute difference: 492 people per square mile
Relative difference: 435.4%
O c. Absolute difference: -492 people per square mile
Relative difference: -435.4%
O d. Absolute difference: -492 people per square mile
Relative difference: -8.1%
Answer:
B
I don't know how all the answers are B's
Give me brainliest answer.
I hope I could help.
Find C in degrees. B = 51° b = 9 C = 4 C = [?] degrees Round to the nearest tenth.
By applying the law of sines, the value of angle C to the nearest tenth is equal to 20.2 degrees.
The types of triangle.In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;
Equilateral triangleObtuse triangleScalene triangleIsosceles triangleRight-angled triangleWhat is the law of sines?In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Substituting the parameters into the formula, we have;
sin51/9 = sinC/4
Cross-multiplying, we have:
4sin51 = 9sinC
sinC = 4sin51/9
sinC = (4 × 0.7772)/9
sinC = 3.1088/9
sinC = 0.4
C = sin⁻¹(0.3454)
C = 20.2 degrees.
In conclusion, we can logically deduce that the value of angle C is equal to 20.2 degrees.
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Jessica makes $24000 a year but receives weekly paychecks. if 12% of her checks is withheld for federal taxes what, what is her required weekly deduction including FICA
Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 2 8 space minus space log subscript 2 4
The value of the logarithm expressions [tex]log_{2} 8 - log_{2} 4[/tex] is 1.
Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]
The logarithm expressions is [tex]log_{2} 8 - log_{2} 4[/tex].
Use the properties to rewrite logarithm expressions as a single logarithm
Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]
= [tex]log_{2} 8 - log_{2} 4 = log_{2} (\frac{8}{4} )[/tex]
=[tex]log_{2} 2[/tex]=1
thus the expressions value is 1.
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367.77642 rounded to the nearest hundredth
Answer:
400
Step-by-step explanation:
if the number was bellow 350 it would be 300 but it's not so 400 is correct
Answer: 367.78
Step-by-step explanation:
hundreds = 3
tens = 6
ones = 7
(DECIMAL PLACE) = .tenths = 7hundredths = 7
thousandths = 6
ten thousandths = 4
hundred thousandths = 2
367.776 [the 7 would round up to an 8]
367.78
if you find 80% of a number, do you expect the answer to be greater or less than the number? what is you find 120% expalin your answer
When 80% of a number is found then the answer will be less than the number. 120% of a number will be greater than the number.
How to find 80% of a number?In order to find 80% of a number, you simply multiply the number by 80/100 .
When you find 80% of a number, the answer would be less than the number because all percentages less than 100% of a number would be less than the number.
For instance, 80% of 5 is:
= 80/100 x 5
= 4
All percentages more than 100 would be greater than the number which means that 120% would be greater. For instance:
= 120% x 5
= 6
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To prepare for the alignment of numerous pumps, you need to have 50 pieces of 1/8-inch brass shim stock on hand. if you stack the 50 shims on top of each other, how tall would the stack be, shown as a whole or mixed number?
The height of the stack of shim stocks will be 6 1/4 inches.
What will be the height of the stack?A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.
In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.
Height of the stock = width of one stock x number of pieces
50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches
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how many times larger is Florida than new Jersey?
Florida (US) is 7.53 times as big as New Jersey (US).
New Jersey is approximately 19,211 sq km, while Florida is approximately 139,670 sq km, making Florida 627% larger than New Jersey. Meanwhile, the population of New Jersey is ~8.8 million people (10.0 million more people live in Florida).
Florida (US)
Florida is a state located in the southeastern region of the United States. With a population of over 21 million, Florida is the third-most populous and the 22nd-most extensive of the 50 United States. The state is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Atlantic Ocean, and to the south by the Straits of Florida. The state's capital is Tallahassee and its most populous municipality is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the seventh-most populous in the United States.
New Jersey (US)
New Jersey is a state in the Mid-Atlantic region of the Northeastern United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware River and Pennsylvania; and on the southwest by Delaware Bay and the State of Delaware. New Jersey is the fourth-smallest state by area but the 11th-most populous, with 8,882,190 residents as of 2019 and an area of 8,722.58 square miles, making it the most densely populated of the 50 U.S. states.
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I learned this years ago but I lowkey forgot how to do it
a. 1.33
b. 1.10
c. 1.41
d. 1.06
Answer:
1.33
step by step explanation
8. The floor of a rectangular meeting
room has a raised platform that is the
same length as the room. The whole
room has an area of 461 square yards.
Raised Platform
TS
7 yards
22/2
Part A
What is the total width of the room?
Write an equation to model your work.
70476/133
704
15
2
Part B
45
Suppose the area of the platform is
73 square yards. What fraction of the
entire floor is the raised platform?
Write an equation to show your work
The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A) Given the area of room = 46 14/15 = 704/15
Area = Width × Length
W × 7 1/3 = 704/15
W × 22/3 = 704/15
W = 704/15 × 3/22
W = 6.4
B ) Given the area of the platform as 7 37/45 = 352/45
Area of total room = 704/15
Fraction of raised platform area to the total area = (352/45) / (704/15)
⇒ (352/45) × 15/704
⇒ 352/2112 = 1/6
Hence "The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6".
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Find the Distance between -7 and 9 on the real number line.
Answer:
16
Step-by-step explanation:
-7 to 9 is 16 because just doing 9 + 7 is 16.
IF THERE IS A COEFFICIENT, MULTIPLY THE WHOLE NUMBERS
Answer:
15 rt2
56 rt2
15 rt3
9 rt5
Step-by-step explanation:
[tex]3\sqrt{50} =3\sqrt{5*5*2} =3*5\sqrt{2} =15\sqrt{2}[/tex]
[tex]8\sqrt{98} =8\sqrt{2*7*7} =8*7\sqrt{2} =56\sqrt{2}[/tex]
[tex]5\sqrt{27} =5\sqrt{3*3*3} =5*3\sqrt{3} =15\sqrt{3}[/tex]
[tex]3\sqrt{45}=3 \sqrt{5*3*3} =3*3\sqrt{5} =9\sqrt{5}[/tex]
what expressions are equivalent to 2(3/4x+7)-3(1/2x-5)
The equivalent expression is 15x + 104 /4
What are algebraic expressions?Algebraic expressions are defined as expressions comprised of constants, variables, terms, coefficients and factors.
They are also made up of arithmetic or mathematical operations such as;
AdditionSubtractionDivisionMultiplicationBracket, etcGiven the expression:
2(3/4x+7) - 3(1/2x-5)
solve for the bracket
3 ( 3x + 28/4) - 3 (x - 10 /2)
expand the bracket by multiplying
9x + 84 / 4 + 3x + 10/ 2
Find the lowest common multiple
9x + 84 + 6x + 20 /4
collect like terms
15x + 104 /4
Thus, the equivalent expression is 15x + 104 /4
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Yellow Bell Farm delivered eggs to various stores around the Hudson Valley. If all the eggs were delivered in cartons that hold a dozen eggs, then how many cartons were delivered?
34 cartons were delivered by the Yellow Bell Farm to various stores in the Hudson Valley.
Let the farm deliver 408 eggs to various stores around the Hudson Valley.
According to the question, a carton contains a dozen eggs.
A dozen is a grouping of twelve objects. It is abbreviated as doz or dz.
1 dozen = 12 eggs
So one carton contains a dozen eggs, or 12 eggs and
12 eggs needs 1 cartoon.
408 eggs needed = 408÷12 = 34 cartons
So 34 cartons were delivered by the yellow farm.
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100 users of s social networking site are chosen for a sample but only 25 respond. what is this an example of?
Answer:
non response bias
Step-by-step explanation: