Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that,
Carlos walk to school on the 14th of 20 days in February.
We need to find the equivalent to the fraction of school days in February that Carlos walk to school.
Required percentage is given by :
[tex]\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%[/tex]
or
[tex]=\dfrac{7}{10}[/tex]
So, the required fraction is equal to [tex]\dfrac{7}{10}[/tex].
What is the factored form of the following expression? 25x^2 + 70x+ 49
Answer:
( 5x + 7 ) ²
Step-by-step explanation:
25 x ² + 70 x + 49
Identity Used
(a + b) ² = a ² + 2 ab + b ²= 25 x ² + 35 x + 35 x + 49
= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)
= ( 5x + 7 )
More to know about Algebraic Identities :-
➛ (a + b)² = a² + 2ab + b²➛ (a - b)² = a² - 2ab + b²➛ a² - b² = (a +b) (a-b)➛ (x + a) (x + b) = x² + (a + b) x + ab➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac➛ (a + b)³ = a³ + b³ + 3ab (a + b)➛ (a - b)³ = a³ - b³ - 3ab (a + b)➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)Answer:
(5x + 7)2.
The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.
Thus, it can be factored as a perfect square trinomial.
round 0.982 to 2 decimal places
Answer:
0.98
Step-by-step explanation:
0.982,0.98()2 (round up if 5+ down 4-) 0.98
The number 0.982 rounded of to two decimal places will be 0.98.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
The digit 5 acts as a limit.
if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.
Hence, the number 0.982 rounded of to two decimal places will be 0.98.
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3
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
A $6
B $7
C$10
D $4
Answer: A $6
Step-by-step explanation:
Let x = price per child ticket, y= price per senior ticket.
As per given, we have
5x+12y=102 (i)
12x+14y=156 (ii)
From (i), we have
[tex]x=\dfrac{102-12y}{5}[/tex] (iii)
Put value of x in (ii), we get
[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]
Hence, the price of senior ticket = $6
Thus the correct option is A.
pls help me on this i don't know what to do
Answer:
[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]
Step-by-step explanation:
[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]
Al trazar en el plano cartesiano el angulo a cuyo lado terminal es el punto de ( 3,4). Los valores de las funciones del coseno y cocecante son
Answer:
[tex]cos(\alpha)=\frac{3}{5}=0.6[/tex]
[tex]cosec(\alpha)=\frac{5}{4}=1.25[/tex]
Step-by-step explanation:
El cos(α) se define como el cociente entre el cateto adyacente y la hipotenusa.
El valor del cateto adyacente en nuestgro caso es CA = 3.
La hipotenusa se calcual de la siguiente manera:
[tex]h=\sqrt{3^2+4^2}=5[/tex]
Por lo tanto, el cos(α) sera:
[tex]cos(\alpha)=\frac{3}{5}=0.6[/tex]
El cosec(α)=h/CO.
El cateto opuesto CO = 4 y la hipotenusa h = 5
Por lo tanto, el cosec(α) sera:
[tex]cosec(\alpha)=\frac{5}{4}=1.25[/tex]
Espero te haya sido de ayuda!
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
Help us appreciated:)
Find a equation of a line that is parallel to y=5x-21 and passes through the point (3,7).
a lines y-intercept is -4, and it's slope is 2. what is its equation in slope-intercept form?
Answer:
2x-4
Step-by-step explanation:
2x-4
mx+b format
the value of ( 7 + 4root 3) ( 7 - 4 root 3) is
Answer:
Step-by-step explanation:
(a + b)(a - b) = a² - b²
[tex](7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1[/tex]
[tex]\boxed{1}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1[/tex]
You can also use the identity:
( a + b ) ( a - b ) = [tex] {a}^{2} - {b}^{2}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which of the following are magnitudes for rotational symmetry of the regular octagon below about the marked point?
The magnitude of rotational symmetry of the regular octagon below the marked point is 45°, so option A is correct.
What is octagon?Eight sides, eight internal angles, and eight vertices are the characteristics of an octagon. An octagon is referred to as being regular if all of its sides and angles have the same measurements.
Given:
From the figure, the lengths of the side of the octagon are equal,
So the angle will also be equal,
And we know that octagon has 8 interior angles and their sum is 360 degrees.
Now for measure of one angle = 360° / 8 = 45°,
Therefore, the magnitude of rotational symmetry of the regular octagon below the marked point is 45°.
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Mike drew a quadrilateral with 4 right angles and 2 pairs of opposite sides that are parallel. Name the quadrilateral she could have drawn
Answer:
Rectangle
Step-by-step explanation:
The polygon that contains 4 sides is known as the quadrilateral
Also there are 6 types of quadrilateral that are as follows;
a. The rectangle has 2 pairs of opposite sides & 4 sides of the interior angles
b. The square contains the 4 congruent sides & 4 right interior angles
c. The parallelogram has 2 pairs of opposite sides that are parallel & congruent and 2 pairs of angles that are opposite & congruent
d. The rhombus contains the 4 congruent sides and angles
e. The trapezium contains the one pair of parallel sides
f. The kite contains the two pairs of sides that are congruent adjacent
Plz answer this question
Answer:
3,16,729
Step-by-step explanation:
These tables of values represent continuous functions. In which table do the values represent an exponential function?
It's A.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
why does safari take forever to load ...
Answer:
God knows. But I guess if you have iphone x and after it shouldn't take so long. I have iphone 12 pro max and it works flawlessly.
Answer:
I don't know but I've been thinking the same thing
Ben asked his 19 classmates whether they were right handed or left-handed. There were five more right handed classmates than left handed classmates. Write a system of equations that can be used to determine how many of Ben’s classmates were right and left handed.
Answer:
left handed = 7 ; right handed = 12
Step-by-step explanation:
r = right handed
l = left handed
r + l = 19
r = l + 5
If we use substitution method we have:
l +5 + l = 19
2 l = 14
l = 7
r = 7 + 5 = 12
Answers:
The system of equations is
[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]
where x and y is the number of right-handed and left-handed people respectively.
The system solves to (x,y) = (12,7)
Interpretation:
There are 12 right-handed people and 7 left-handed people in the class.
=========================================================
Explanation:
x = number of right-handed people
y = number of left-handed people
x and y are positive whole numbers.
There are 5 more right-handed people compared to left-handed people, so we can say x = y+5 which is the same as y = x-5. So you could go for either equation. Let's go for the one where y is isolated.
The second equation to form is x+y = 19 because there are 19 people in the class, and you can only be one or the other (left-handed or right-handed but not both). I'm not considering the possibility anyone is ambidextrous though of course that may happen in a realistic setting.
The two equations then form the system
[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]
There are a number of ways we can solve this system. Substitution is possibly the quickest way.
x+y = 19
x+(x-5) = 19 ... replace y with x-5; due to the first equation
2x-5 = 19
2x = 19+5
2x = 24
x = 24/2
x = 12 .... this is the number of right-handed people
y = x-5
y = 12-5
y = 7 .... this is the number of left-handed people
-3 + 4x = 25
help mee
Answer:
are u solving for x if so then
x=7
Step-by-step explanation:
hope this helps ...brainliest please!
What is 1/4 as a number?
Answer:
.25
Step-by-step explanation:
you divide 1 by 4 which equals .25
Answer:
1/4 as a number is 0.25
Step-by-step explanation:
Divide 1 by 4 = 0.25
Answer please best answer=brainliest
Answer:
Part A
median: 7, third quartile: 15, first quartile: 3, units: years
Part B
image doesn't show whole question
Step-by-step explanation:
2,2,4,7,7,14,16,18
2,2,4,(7\/7),14,16,18
2,2\/4,7\/7,14\/16,18
If f (n)= - 3n + 2, what is the value of f(12) ?
Answer:
Step-by-step explanation:
f(n)= -3n + 2
to find :f(12)
substitute 12 in place of n
f(12)= -3*12 + 2
f(12)=-36 + 2
f(12)= -34
The value of the f(12) is equal to -46 where the expression is
f(n) = -3n + 2.
What is an expression?Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.
Here, f(n)= -3n + 2 is the given expression.
So, we can find the value of f(12) by putting n=12 in f(n).
Put n=12 in f(n), we get
f(12)= (-3)×12 + 2
= -48 + 2
= -46
Hence, the value of f(12) is -46.
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if p = q and q = r then p = r
What statements is this?
A. Inverse statement
B.Contrapositive Statement
C.A syllogism
D.Converse statement.
Answer:
Syllogism, or C.
Earned income and capital gains (or "portfolio income") are acquired in different ways. Which statement describes how they are different?
Answer:
n
Step-by-step explanation:
Write as many expressions as you can that have the same value as 10 to the 6 power. Focus on using
exponents and multiplication.
1,000,000
100 * 100 * 100
100^3
1,000^2
10,000 * 100
10^4 * 10^2
10^3* 10^3
10^5 * 10
1,000 * 1,000
100,000 * 10
400,000 * 2.5
500,000 * 2
250,000 * 4
200,000 * 5
10 * 10 * 10 * 10 * 10 * 10
10^3 * 10 * 10^2
10^4 * 10 * 10
10^7 / 10
10^10 / 10^4
I DON'T WANT TO WRITE MORE
The solution is: the expressions as we can that have the same value as 10 to the 6 power , using exponents and multiplication are given below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
10 to the 6 power
i.e. 10^6
now, using exponents and multiplication the expressions as we can that have the same value as 10 to the 6 power are:
1,000,000100 * 100 * 100100^31,000^210,000 * 10010^4 * 10^210^3* 10^310^5 * 101,000 * 1,000100,000 * 10400,000 * 2.5500,000 * 2250,000 * 4200,000 * 510 * 10 * 10 * 10 * 10 * 1010^3 * 10 * 10^210^4 * 10 * 1010^7 / 1010^10 / 10^4To learn more on multiplication click:
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f(x)=5x−3, find f(2)f(2)
Answer:
f(2)f(2) = 49
Step-by-step explanation:
Note that f(2)f(2) is the same as [f(2)]^2.
If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:
f(2)f(2) = [f(2)]^2 = 7^2 = 49
Thus, f(2)f(2) = 49
Giovanna has a score of
−5minus, 5 in Canasta. Vera's score is
Write an inequality that correctly compares the scores.
Answer:'
-9.7 minus, in 13
Step-by-step explanation:
convert: 1 hour to seconds
1 min = 60 seconds
1 hour = 60 mins = 60 x 60 = 3600 seconds .
(15 points)Please help out if you can!
Answer:
The maximum is -3
Step-by-step explanation:
A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.
The vertex of the equation is (-7,-3)
So, the maximum y value is -3
What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.
Answer:
1185 10/30 square feet
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = 25 2/5 feet
width = 46 4/6
Substitute into the formula;
Area = 25 2/5 * 46 4/6
Area = 127/5 * 280/6
Area = 35,560/30
Area = 1185 10/30
Hence the area of the rectangle is 1185 10/30 square feet
Kate is making hamburgers for her friends and has pounds of hamburger. How many -pound hamburgers can she make?
Answer:
25 hamburgers
Step-by-step explanation:
Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make
Solution:
Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.
8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger
Therefore:
Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers
Write an expression for the phrase.
The product of n and negative 3