Answer:
The greatest number of stamps that Nathan can put on each page = 16.
Step-by-step explanation:
Given:
Nathan has:
80 US stamps
64 Canadian stamps
32 Mexican stamps
The stamps need to put on a page such that each page has same number of same country stamps on each page.
To find the greatest number of stamps he can put on each page.
Solution:
In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.
The numbers are:
[tex]80,64,32[/tex]
We will list down the prime factors of each number.
[tex]80=2\times 2\times 2\times 2\times 5[/tex]
[tex]64=2\times 2\times 2\times 2\times 2\times 2[/tex]
[tex]32=2\times 2\times2\times 2\times 2[/tex]
The G.C.F can be given as = [tex]2\times 2\times 2\times 2[/tex] = 16
Thus, the greatest number of stamps that Nathan can put on each page = 16.
the sides of a triangle are 56 CM, 60 cm and 52 cm find its area using herons formula
Answer:
1344cm^2
Step-by-step explanation:
Semi perimeter:
S = (a+b+c)/2
S=(56+60+52)/2
S=168/2
S=84
Area:
A=root S(S-56)(S-60)(S-52)
A=root 84(84-56)(84-60)(84-52)
A=root 84(28*24*32)
A=root 84(21504)
A=root1806336
A=1344cm^2
Answer:
Step-by-step explanation:
[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]
$325 tent; 15% Discount
Answer:
Step-by-step explanation:
48.75
If C(x) = 4x^2 - 3, find the following
(a) C(0)
(b) C (-1)
(c) C (-2)
(d) C (-3/2)
Step-by-step explanation:
[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]
18x^4y^-7z/4x^9y^4z^-5
Answer:
The simplified expression to the given expression is
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]
To simpify the given expression :
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]
[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]
[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )
[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]
[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )
[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )
[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]
Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
Therefore the simplified expression to the given expression is
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)
Answer:
The perimeter of the polygon = 18 units
The area of the polygon will be [tex]A=18[/tex] square units
Step-by-step explanation:
Computing the Perimeter of the Polygon:
Considering the polygon with vertices
W (11,2)X (11,8)Y (14,8)Z (14,2)As the polygon is drawn in coordinate plane as shown in figure a.
From the attached figure a, we can observe that
The length of the side [tex]WZ = 3[/tex] unitsThe length of the side [tex]ZY = 6[/tex] unitsThe length of the side [tex]WX = 6[/tex] unitsThe length of the side [tex]XY = 3[/tex] unitsSo, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.
The perimeter of the polygon = [tex]WZ + ZY + WX + XY[/tex]
= 3 + 6 + 6 + 3
= 18 units
Computing the Area of the Polygon:
Area can be calculated by multiplying the length and width of the polygon.
[tex]A=lw[/tex]
So, the area will be:
[tex]A=lw[/tex]
[tex]A=(3)(6)[/tex]
[tex]A=18[/tex]
Therefore, the area of the polygon will be [tex]A=18[/tex] square units
Keywords: area, perimeter, polygon
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I contemplated the lake: the waters were placid; all around
was calm, and the snowy mountains, "the palaces of
nature," were not changed (73).
What feeling is Shelley most likely trying to associate with Victor
Frankenstein in this passage?
O
O
A. Peacefulness
B. Excitement
O
c. Distraction
O
D. Dread
SUBMIT
Answer:
The answer is: letter A, Peacefulness
Explanation:
Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation. This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.
While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.
Thus, this explains the answer, "Peacefulness."
Jeff saves $25 a week How much can he save in one year ( 1 year =52 weeks
Answer:1300
Step-by-step explanation:
in a week =25$
a year has 52wks
so...52×25=1300$in a year
Answer:
$1300
Step-by-step explanation:
$25 / week
52 weeks per year
52($25) = $1300
Hope this helps :)
A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.
Which of the following is closest to the volume of the piece of candy?
(Use 3.14 for π.)
Volume of piece candy is 113.04 cubic centimeter
Solution:
A student bought a piece of hard candy that is in the shape of a sphere
The candy has a radius of 3 centimeters
Radius = 3 cm
Use 3.14 for π
Volume of sphere is given as:
[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]
Where, "r" is the radius of sphere
Therefore, volume of candy is given as:
[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]
Thus volume of candy is 113.04 cubic centimeter
I WILL GIVE BRAINLIEST
Evaluate the following expression.
4 - (3 - 2)²
Answer:
If you are looking for the answer, it would be 3. If you are looking for the expression evaluated, it would be 4-(1^2) I think.
Step-by-step explanation:
What is the geometric mean of 2 and 14?
Answer:
5.291502622129 (feel free to round if needed)
the geometric mean of 2 and 14 is 2√7.
What is geometric progression?
A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given two numbers whose geometric mean needed to calculate
From the formula of Geometric mean
GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]
Where GM = geometric mean
n = number of values
Xi = values to average
Thus,
GM = √(2 *14)
GM = 2√7
therefore, the geometric mean of 2 and 14 is 2√7.
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The charge to ship a package from one town to another, C, is given below as a function of the weight of the object, w, in pounds.
C = $2.50 + $0.55w
If the shipping cost for Cathy's item was $7.29, what was its weight?
A.
18.7 pounds
B.
0.87 of a pound
C.
87 pounds
D.
8.7 pounds
D) 8.7lbs
Subtract $2.50 from the total cost, because that's a fixed number, then do more math and boom, just like magic, it's solved.
Answer:
8.7 pounds
Step-by-step explanation:
7.29 = 2.5 + 0.55 w
0.55 w = 7.29 - 2.5
0.55 w = 4.79
w = 4.79 / 0.55
w. 8.7
The coordinates shown may lie on what type of geometric figure?
(-2, 0) (0, 2) (0, -2) (2, 0)
A)
circle
B)
line
C)
parabola
D)
triangle
D=3 in this problem plz help
Answer:
73
Step-by-step explanation:
Answer:
To do this you want to plug 3 in for d, so your equation will look like this
7(3)^2+10
In the order of PEMDAS you want to do exponents first, because there is no parentheses.
7*9+10 (3^2=9), next you want to multiply
63+10, lastly you want to add
63+10=73
73
Hope this helps ;)
You know if a number is divisible by 4 if the last 2 digits form a number that is.......
Answer:
... divisible by 4
Step-by-step explanation:
Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.
If the last two digits are divisible by 4, the number will be divisible by 4.
_____
A number divisible by 4 will look like one of ...
{odd}{2, 6}
{even}{0, 4, 8}
Boxes of cereal usually cost $4 but they are on sale for $1 off a gallon of milk costs $3 the expression 4b -1b +3 can be used to find the cost in dollars of buying b boxes of cereal and a gallon of milk write the expression in simpler form
Answer:4b +1b + 3 =5b + 3
Step-by-step explanation:add 1b to 4b will give you 5b plus the 3
Answer:
4b+1b+3=5b+3
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{4}[/tex] and c = - 1, thus
y = [tex]\frac{1}{4}[/tex] x - 1 → C
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Answer: First option.
Step-by-step explanation:
Below are some transformations for a function [tex]f(x)[/tex]:
1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.
2 If [tex]f(x)-k[/tex], the function is shifted "k" units down.
3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.
4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.
5. If [tex]-f(x)[/tex], the function is reflected over the x-axis.
6. If [tex]f(-x)[/tex], the function is reflected over the y-axis.
Then, given the parent function [tex]f(x)[/tex]:
[tex]f(x)=2^x[/tex]
And knowing that the the other function is:
[tex]g(x)=-2^{(x+4)}-2[/tex]
You can identify that the function [tex]g(x)[/tex] is obtained by:
- Shifting the function [tex]f(x)[/tex] 4 units left.
- Reflecting the function [tex]f(x)[/tex] 4 over the x-axis.
- Shifting the function [tex]f(x)[/tex] 2 units down.
Answer:
A is correct
Step-by-step explanation:
Shift 4 units left, reflect over the x-axis, shift 2 units downA bakery offers a sale price of $2.50 for 3 muffins. What is the price per dozen?
Answer:
$10.0
Step-by-step explanation:
We are given;
Sale price for 3 muffins is $2.50We are required to determine the price per dozen;
We need to know that a dozen contain 12 itemsTherefore;
A dozen of muffins has 12 muffinsThus;
3 muffins = $2.50
12 muffins = (12 ÷ 3) × $2.5
= 4 × $2.50
= $10.0
The Price of a dozen is thus $10.0
I need help with this Geometry question.
Answer:
Given that AC ≅ BC, the sides are of equal measures.
CD is a side in both ΔACD and ΔBCD, so the side is equal in both triangles.
Given that CD if the bisector of ∠ACB, the two angles produced are equal: ∠ACD ≅ ∠BCD.
∠ACB is contained between AC and CD in ΔACD. ∠ACB is contained between BC and CD in ΔBCD.
Therefore by the SAS postulate, ΔACD ≅ ΔBCD.
Step-by-step explanation:
The SAS postulate says that if two triangles have a contained angle between two sides that are known to be equal in the other triangle, then the triangles are congruent.
Prove that two sides are equal, then prove that an angle that is between those two sides is also equal.
1) Which is the best buy?
6 shirts for $25.50
4 shirts for $18.00
5 shirts for $21
Answer:
5 shirts for $21
Step-by-step explanation:
25.50÷6= 4.25
18.00÷4= 4.50
21.00÷5= 4.20
Which expression can be modeled by this diagram!!!please help fast
Answer: i think 4x4/8
Step-by-step explanation:
Answer:first one
Step-by-step explanation:4 2/8
Just watched like 3 vids on multiplying unit fractions by whole numbers
I know and believe that someone...ANYONE can help me with this 7th grade math homework please because it is late at night and I am exhausted
Answer:hahah
Step-by-step explanation:Hahha
Work out 1 and 3 quarters times by 1 and 1 third
Give your answer as a mixed number.
Answer:
7/12
Step-by-step explanation:
1 is equivalent to 4/4.
3/4 + 4/4 = 7/4.
After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.
7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.
Answer:
Step-by-step explanation:
[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]
you are given a fraction in simplest form. The numerator is NOT zero. when you write the fraction as a decimal, it is a repeating decimal. which numbers from 1 to 10 could be the denominator.
Answer:
3, 6, 9
Step-by-step explanation:
When changing a fraction to a decimal, you divide the numerator by the denominator. For EX.
1/3= 1 divided by 3
1 divided by 3 is 0.3333333333333
1/6
1 divided by 6 is 1.6666666666666
1/9
1 divided by 9 is 0.1111111111111111111111
What fraction is located at point A on the number line?
The location of point A of the number line will be at 2 ¹/₃.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The section between the numbers 2 and 3 will be 3.
The location of point A is given as,
⇒ 2 + 1/3
Convert the expression into a mixed fraction number. Then we have
⇒ 2 + 1/3
⇒ 2 ¹/₃
The location of point A of the number line will be at 2 ¹/₃.
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Does the equation y=9x^2+19 represent a linear function?
Because the equation has an (constant of 19/ exponent of 2) , it (can/cannot) be written in the form y=mx+b.
When the equation is graphed, the rate of change between different pairs of coordinates on the graph (is constant/varies) so the graph of the equation is a (curve/point/straight line)
Therefore, the equation represents a (linear/nonlinear) function.
Because the equation has an [tex]\boxed{\text{exponent of 2}}[/tex], it [tex]\boxed{\text{cannot}}[/tex] be written in the form y = mx+b
When the equation is graphed, the rate of change between different pairs of coordinates on the graph [tex]\boxed{\text{varies}}[/tex] so the graph of the equation is a [tex]\boxed{\text{curve}}[/tex]
Therefore, the equation represents a [tex]\boxed{\text{nonlinear}}[/tex] function.
-----------------------------------------------------------------------------------------------------
So in short, y = 9x^2+19 is not linear because it graphs out a curve that isn't a straight line.
More info: The equation y = 9x^2+19 is a quadratic function as the exponent of 2 is the largest exponent. The degree is 2 for the same reason. A parabola will be graphed in this case, which is a curved bowl-like shape. The lowest point of this parabola is at (0,19) which is also the y intercept. There are no x intercepts as this parabola is entirely above the x axis and it goes on forever upward. See the diagram below for the graph of y = 9x^2+19.
The equation y=9x²+19 represents a nonlinear function because it has an exponent of 2, which means it cannot be written in the linear form of y=mx+b. The graph of this equation is a curve, indicating a varying rate of change unlike a straight line which indicates a linear function.
Explanation:The given equation is y=9x²+19. Because the equation has an exponent of 2, it cannot be written in the form y=mx+b, which is the standard form of a linear equation. In linear function, the highest exponent is 1.
When the equation is graphed, the rate of change between different pairs of coordinates on the graph varies. So, the graph of this equation forms a curve. Linear functions have constant rates of change and their graph is a straight line.
Therefore, given the criteria, the equation y=9x²+19 represents a nonlinear function.
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A sphere has a diameter of 10 in. What is the volume of the sphere?
V = StartFraction 125 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction pi inches cubed
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed
The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]
Radius of sphere = 5 inches
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
V = [tex]\frac{4}{3}\pi (5)^3[/tex]
[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]
The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.
Keywords: volume, division
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Answer:
500/3 pi
Step-by-step explanation:
i took le quiz :)
What is the midpoint of E(3,7) and F(-8,-10)
(3 + -8 / 2,7 + -10 / 2)
(-5/2,-3/2)
Hope this helps! ;)
Adding fractions
1/4 + 2/3=
Answer:
The addition of given fractions is [tex]\frac{11}{12}[/tex]
Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]
Step-by-step explanation:
Given fractional expression is [tex]\frac{1}{4}+\frac{2}{3}[/tex]
To find the addition of given fractions :
Adding the given fractions we get
[tex]\frac{1}{4}+\frac{2}{3}[/tex]
[tex]=\frac{1(3)+2(4)}{12}[/tex] ( here taking 12 as LCM )
[tex]=\frac{3+8}{12}[/tex]
[tex]=\frac{11}{12}[/tex]
Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]
The addition of given fractions is [tex]\frac{11}{12}[/tex]
the perimeter of a living room is 68ft the length is 18ft what is the width
Answer:
16ft
Step-by-step explanation:
18×2=36. 68-36=32. 32÷2=16