Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
[tex]l+w = \frac{180}{2}[/tex]
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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The difference of a number p and 1 is greater than 6
Answer: p - 1 > 6, or p > 7
Step-by-step explanation:
We will write an expression from the sentence given.
difference of a number (p) and 1 ➜ p - 1
is greater than ➜ >
The difference of a number p and 1 is greater than 6 ➜ p - 1 > 6
To solve for the possible values of p, we will add 1 to both sides of the equation;
p > 7
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The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft
The width of rectangle is 5 feet.
Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).
Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -
Perimeter = 2 × (length + width)
Keep the values in formula to find the value of width
26 = 2 × (x + x - 3)
Performing addition of variables inside the bracket
26 = 2 × (2x - 3)
Shifting 2 to other side of equation to find the value of x
2x - 3 = [tex]\frac{26}{2}[/tex]
Performing division to find the value of x
2x - 3 = 13
Shifting 3 to other side of equation to find the value of x
2x = 13 + 3
Performing addition to find the value of x
2x = 16
Shifting 2 as denominator to other side of equation to find the value of x
x = [tex]\frac{16}{2}[/tex]
Performing division to find the value of x
x = 8
So, length of rectangle is 8 feet
Width of rectangle = x - 3
Width of rectangle = 8 - 3
Width of rectangle = 5 feet
Hence, the width of rectangle is 5 feet.
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A student in a big city lives on the 44th floor of her building. On rainy days, when she gets home from school, she takes the elevator all the way up to her floor. But on sunny days, she goes up to floor 20 and walks the rest of the way. Why?.
She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.
What is a riddle?A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.
Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.
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Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) I'd say rational number. If p and q are integers, then -(p/a) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
Given that p and q are integers,
then find out -(p/q) = (-p)/q = p/(-q)
with real world example.
First of all we have know about Integers
a whole number, a number that is not a fraction.
and secondly Rational numbers
A rational number is any number that can be expressed in the form p/q where 'q' is not equal to zero. The quotient of the rational number p/q is nothing but the result that we get when we divide 'p' by 'q'.
For real world contexts we put some value at the place of p and q.
let p=1
q=2
-(1/2) = (-1/2) =(1/-2)
by evaluate it we get ...
-1/2=-1/2=-1/2
Rules for Negative rational numbers
If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that -(p/q) = (-p)/q = p/(-q).If numerator and denominator are of opposite signs.All are less than 0.Hence If p and q are integers, then -(p/a) = (-p)/q = p/(-q).
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Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)² = 11
A. x = -√12/4
B. x=-√11+1/4
C. x=√11+1/4
D. x=-√11+1/4
E. x=√12/4
F. x=√11+1/4
Answer:
A.
B.✅
C.✅
D.✅
E.
F.✅
Step-by-step explanation:
[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW
*PLS HELP*
Suppose a and b give the populations of two states where a > b. Compare the expressions and tell
which of the given pair is greater or if the expressions are equal.
a-b
5
(select)
b
5
Justin purchased a 20 pound pumpkin for $9.80. How much did she pay per pound? show your work!
Answer: so Justin pays 0.49 per pound for each pumpkin
Give me brainliest if it is correct
Step-by-step explanation: so Justin a 20 purchased a pound Pumpkin for 9.80 so first
you put [tex]\frac{9.8}{20}[/tex] and when you divide you get 0.49
Line pq is represented by the equation y=-x+2 determine the equation, in slope-intercept form, of the line zw that is perpendicular to line pq and passes through the point z (11,11)
The equation, in slope-intercept form, of the line zw is y = x.
It is given that, equation of the line pq is:-
y = -x + 2
Also, line pq is perpendicular to line zw
zw passes through the point z (11,11).
We have to find the equation, in slope-intercept form, of the line zw.
The slope intercept form of a line is:-
y = mx + b
Where,
m represents slope of the line,
(x,y) represents every point on the line
b represents the y-intercept of the line
We know that, when two lines are perpendicular, the product of slopes of the lines is -1.
Let the slope of the line zw be m.
Hence,
m*(-1) = -1
m = 1
As it passes from the point z(11,11).
Hence, we can write,
11 = 1(11) + b
11 = 11 + b
b = 0
Hence, the slope intercept form of the line zw is y = x .
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In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
The right triangle that shows the length of the two sides is 5.2 and 3.1.
It is required to find the triangle.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given:
In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.
According to given question we have:
Given that angle x will be:
[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]
The opposite to angle x or perpendicular = 3.1 units
The adjacent side to angle x or base angle = 5.2 units
Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.
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Answer:
b
Step-by-step explanation:
Grayson bought snacks for his team's practice. He bought a bag of popcorn for $3. 50
and a 5-pack of juice bottles. The total cost before tax was $11. 5. Write and solve an
equation which can be used to determine j, how much each bottle of juice cost.
Please include equation and answer(j= )
If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.
The cost of each bottle can be determined by using an algebraic expression.
An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.
To find the cost of each bottle, an algebraic expression can be given as,
Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax
5j + $3.50 = $11.50
Solving for j,
5j = 11.50 - 3.50
5j = 8
j = 8/5
j = $1.6
Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6
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Which sequences are arithmetic
-5,5,-5,5…
96,48,24,12,6
18,5.5,-7,-19.5,-32
-1,-3,-9,-27,-81
16,32,48,64,80
Check all that apply
The option for sequences are arithmetic are:
18,5.5, –7, –19.5, –3216, 32, 48, 64, 80.How can the sequence of arithmetic be calculated?
From the first option we can see that -5,5,-5,5… dose not follow any sequence of arithmetic.
if we take the 18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5
Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.
Therefore, since we can have constant results between consecutive numbers then it is sequence of arithmetic.
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What are the coordinates of the vertex for the graph of g(x) = |x+6|
The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).
Given the equation is g(x) = I x ₊ 6 I
The equation of the absolute value function is:
y = I x ₋ h I ₊ k where (h , k) is the vertex.
When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.
compare the given equation to the above form.
y = I x ₊ 6 I ₊ 0
y = I x ₋ (₋6) I ₊ 0
hence we (h,k) as (₋6 , 0)
Therefore the coordinates of the vertex are (₋6 , 0)
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Which number contains digits where the hundreds digit is 1/10 the value of the thousands digit?
The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.Firstly, refer to the image attached for the complete question.
Now,
Given: The value of the digit in the hundreds place in 653,841 is: 800
Now, the following cases arise for the given options:
748,917Value of digit in the thousands place = 8000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(8000) = 800[/tex]
749,817Value of digit in the thousands place = 9000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]
784,817Value of digit in the thousands place = 4000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]
797,481Value of digit in the thousands place = 7000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]
Out of all the options, as shown above, only Option A satisfies the given condition.
Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
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y + 1 = y + 2 need help asap pls !!!
Answer:
Alright
Ignore the 20, We have 5(x-2)
Brackets mean Multiplication
So, Multiply 5 with x and multiply 5 with 2
=> 20 = 5x - 10
Transpose the 20 to the other side
the twenty being transposed to the other side becomes Minus because it is in plus
And bring 5x in front of the =
=> 5x = 20 - 10
=> 5x = 10
So now we have 5x but we need x so transpose the 5 to the other side
by transposing the five becomes division because its in positive so
=> x = 10 ÷ 5
=> x = 2
Kaboom, All done!
Eight families live on abbie's street. she asks each family how many pets they have. abbie's data set is: 0, 0, 1, 1, 2, 2, 2, 5. the modal number of family pets on abbie's street is:__________
Answer:
Step-by-step explanation:
It is asking for the "mode" which is the data element you see the most, therefore it is 2.
8x=2 |6x -2| please show me the first step
well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.
[tex]8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill[/tex]
PLEASE HELP... Students are making necklaces of six beads for their mothers. There are
six colours available. There is no clasp, so the necklace can be rotated.
The necklace can also be turned over.
In how many different ways can the students place the beads around the
necklace if exactly two colours are used?
Answer:
Step-by-step explanation:
#1 Number of ways picking 2 from 6 = 6C2 = 15
#2 Arranging them in a circle (consider 1 pair AB)
can be done
1,5 (ABBBBB) or (5,1)
2,4 ( AABBBB) or (4,2)
3,3
1,1 (ABABAB)
all up = 7 ways
#3 = product of #1 and #2 = 15x7 = 105
There are 60 different ways the students can place the beads on the necklace using exactly two colors.
To find the number of different ways the students can place the beads on the necklace using exactly two colors, we need to consider the different arrangements that can be made.
We can first choose the two colors to be used, which can be done in C(6, 2) = 15 ways (where C(n, r) represents the combination of n items taken r at a time).
Once the colors are chosen, we can arrange the beads on the necklace in two ways: either clockwise or counterclockwise.
We can also flip the necklace to get a different arrangement.
Therefore, for each combination of colors, there are 2 x 2 = 4 different arrangements possible.
Thus, the total number of different ways the students can place the beads on the necklace is 15 x 4 = 60.
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Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Answer:
The width of Tyrone's actual patio is 16 feet
Step-by-step explanation:
[tex]\frac{2ft}{1in}[/tex] = [tex]\frac{x}{8}[/tex] If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft. What do we need to multiple 1 inch by to get 8 inches? 8. So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.
lauren and three of her friends are going to magic springs. the total trip: gas, tickets, and food cost $125.76. how much will each person pay for their fun trip
Answer:
$31.44
Step-by-step explanation:
$125.76 ÷ 4 = $31.44
Lauren $31.44
Friend 1 $31.44
Friend 2 $31.44
Friend 3 $31.44
+ ________
$125.76
5 less than 2/3 of a number is 19. Find the number
Answer:
the anser in 60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
You roll two six-sided dice. What is the probability that the sum is equal to 5? Write your answer as a fraction in simplest form.
Answer:
4/36 but reduce to lowest terms.
Step-by-step explanation:
The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.
4/36 which you can also reduce to lowest terms.
The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each additional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
Write a piecewise function describing the cost C of the reunion.The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
Use a graphing calculator to graph the functionTo do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
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What will be the value of f(k)?
4x² - 6x +7
Answer: f(k)=4k² - 6k +7
Step-by-step explanation:
f(x)=4x² - 6x +7
f(k)=4k² - 6k +7
What is the least common multiple of 10 and 11 ?
Answer:
Step-by-step explanation:
The answer is 110
hope this helps :)
here are points A and B Plot the points for each dilation described
Answer:
No one can answer this
Step-by-step explanation:
You need to add a picture or something because we need more information. This could be a graph, a number line, etc.
Answer:
(Image 1)
d(A,C)=10d(C,B)=8
d(A,B)=d(A,C)+d(C,B)=10+8=18
(Image 2)
AB=AC−BC
=10−8=2
Step-by-step explanation:
What is slope intercept form?
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Slope intercept form for a line equation is :
y = m x + b m is the slope of the line
b is the y-axis intercept ( this occurs when x = 0)
Drag the numbers below to put them in order from least to greatest:
0.1 2.4 -7.9 -3.3 -7.7 -13
Submit Answer
Answer:
-13, -7.9, -7.7, -3.3, 0.1, 2.4
Step-by-step explanation:
Evaluate the expression [8(2)-4^2]+7(4)
The value of expression using PEMDAS rule is 28 .
Given : expression [ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
To find : value of expression
Calculation : Using V-BODMAS
[ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
= [ ( 8 * 2 ) - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - 16 ] + ( 28 )
= [ 0 ] + ( 28 )
= 28
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