Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answer:
10800
Step-by-step explanation:
1 trimesters cost = 1450 + 350 $
2 year -> 6 trimester
1800$ x 6 = 10800 $
David is buying a cheese wheel priced at 650 before tax. The store charges 8%, percent sales tax.
What is the total price, including tax, David pays for the cheese wheel?
Answer:
....the answer is 682.5
Answer:
The answer is 702. Hope it helped! :D
Step-by-step explanation:
Find the sum of measures of all interior angles of a polygon with number of sides 8
Answer:
The answer is 1080°Step-by-step explanation:
Sum of measures of an interior angle of a polygon is given by
( n - 2) × 180
where n is the number of sides
From the question the number of sides is 8 so n = 8
The sum of it's interior angles is
(8 - 2) × 180
6 × 180
= 1080°Hope this helps you
What were Malcolm's and Ravi's maximum speeds?
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Let m = Malcom's maximum speed
Let r = Ravi's maximum speed
Average of their maximum speed would be represented as [tex] \frac{m + r}{2} = 260 [/tex]
[tex] m + r = 520 [/tex].
Make m the subject of the formula by subtracting r from both sides:
[tex] m = 520 - r [/tex]. Let this be equation 1.
Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as: [tex] 2m = r + 80 [/tex]. This is equation 2.
Plug in (520 - r) into equation 2 to replace m:
[tex] 2(520 - r) = r + 80 [/tex]
[tex] 1040 - 2r = r + 80 [/tex]
Solve for r. Subtract 1040 from both sides:
[tex] 1040 - 2r - 1040 = r + 80 - 1040 [/tex]
[tex] - 2r = r - 960 [/tex]
Subtract r from both sides
[tex] - 2r - r = r - 960 - r [/tex]
[tex] - 3r = - 960 [/tex]
Divide both sides by -3
[tex] \frac{-3r}{-3} = \frac{-960}{-3} [/tex]
[tex] r = 320 [/tex]
To find m, plug in the value of r into equation 1.
[tex] m = 520 - r [/tex]. =>Equation 1
[tex] m = 520 - 320 [/tex]
[tex] m = 200 [/tex].
Malcom's maximum speed = m = 200 km/h
Ravi's maximum speed = r = 320 km/h
Thank you guys for your help!
Answer:
4/5
Step-by-step explanation:
-18/2 = -9, and integer√9 = 3, an integer0, an integer4/5, irreducible fraction; not an integerUse the difference of squares identity to write this polynomial expression in factored form : 9x^2-49
Answer:
The expression in factored form is (3x - 7)(3x + 7)
Step-by-step explanation:
Here in this question, we are interested in using the difference of two squares to factor the given expression.
Mathematically, supposed we have two squares a^2 and b^2, and we are told to factorize a^2-b^2.
By using the difference of two squares;
a^2-b^2 can thus be written as;
(a-b)(a + b)
Now, we can apply same approach to the problem at hand.
9x^2 - 49
kindly note that 9x^2 can be written as ((3x)^2 and 49 can be written as 7^2
So applying what we have said earlier about difference of two squares;
9x^2 - 49 will be ;
(3x-7)(3x + 7)
Answer:
The answer is (3x - 7) (3x +7)
Step-by-step explanation:
How to do this question plz answer me step by step plzz plz
Answer:
196
Step-by-step explanation:
Surface area of a cuboid:
2 ( lw + wh + hl)
L = Length
W = Width
H = Height
Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.
Volume = lwh; 15 x 2 x (4); So 4 is the height
So, 2 ( lw + wh + hl)
= 2 (15 x 2 + 2 x 4 + 4 x 15)
= 2 (30 + 8 + 60)
= 2 (98)
= 196 is the surface area of cuboid
PLEASE HELP QUICK A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids. The volume of the prism is 234 cubic units. What is the height of the prism? 3 units 4 units 6 units 8 units
==========================================================
Explanation:
Let's find the area of the hexagon. It's composed of two identical (aka congruent) trapezoids.
Each trapezoid has two parallel bases of 4+4 = 8 and 5 units. The height is 3. The area of one trapezoid is
area = height(base1+base2)/2
area = 3*(8+5)/2
area = 19.5
which doubles to 2*19.5 = 39 to represent the area of the entire hexagon
--------------------------------
The volume of any prism is found through this formula
volume = (area of base)*(height of prism)
We just found the area of the base to be 39. The height is unknown, so we'll call it h. The volume is given to be 234.
We end up with this equation
234 = 39h
which solves to h = 6 after dividing both sides by 39. This prism has a height of 6 units.
The height of the prism is 6 units
What is Hexagonal prism?The hexagonal prism is a prism with hexagonal base.
What is isosceles trapezoid?An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Given,
Each hexagon is made from two congruent isosceles trapezoids
Therefore
Area of one isosceles trapezoids = [tex](a+b).(\frac{h}{2} )[/tex]
where,
a =4+4 = 8 units
b = 5 units
h = 3 units
Area of one isosceles trapezoids =[tex](8+5)(\frac{3}{2} )[/tex] =19.5 unit square
Area of the hexagon = Area of two isosceles trapezoids
Area of hexagon = 2× 19.5 = 39 unit square
We know that,
Volume = Base area × Height
Volume = 234 cubic units
234 = 39 × h
h = [tex]\frac{234}{39}[/tex] = 6 units
Hence, the height of the prism is 6 units
Learn more about Hexagonal prism, Isosceles trapezoids and Volume here
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A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine? (1 point) Select one: a. Y = 3x; (1, 3), (2, 6), (3, 9) b. Y = 4x; (1, 4), (2, 8), (3, 12) c. Y = 5x; (1, 5), (2, 10), (3, 15) d. Y = 6x; (1, 6), (2, 12), (3, 18) Plz answer quick!
Answer:
Option a. Y=3x
Step-by-step explanation:
Let us use cross multiplication method.
Let the cost of 1 magazine be x.
No. of copies Cost
1)50 $150
2)1 x
50x=150 x 1 equation(1)
x=150/50
x=$3
Now see equation (1),
150=50x
150=50 x 3
Here let us represent the cost as y and no. of copies as x.
Y=3x
Therefore, a. Y=3x is the right answer.
Thank you!
Will give Brainliest, Please show work.
I need help
2x+10=14
x=2
Area: 14.4= 56
3x+16=25
3x=9
x=3
17x-1,7=37,4
17x=39,1
x=2,3
Select the correct answer.
Solve the system of equations.
y = x + 3
y = x^2 - 2x - 1
A. (1,4) and (-4,1)
B. (-1,4) and (4,1)
C. (-1,7 and (4,2)
D. (-1,2) and (4,7)
Answer:
( 4,7) ( -1,2)
Step-by-step explanation:
y = x + 3
y = x^2 - 2x - 1
Set the equations equal to each other
x + 3 = x^2 - 2x - 1
Subtract x from each side
3 = x^2 -3x -1
Subtract 3 from each side
0 = x^2 -3x -4
Factor
0 = ( x-4) ( x+1)
Using the zero product property
x-4 =0 x+1 =0
x = 4 x=-1
Find y for each x
x=4 y =x+3 y = 4+2 y=7
x = -1 y = x+3 y = -1+3 y = 2
( 4,7) ( -1,2)
Answer:
D. (-1, 2) and (4, 7).
Step-by-step explanation:
Eliminating y:
x^2 - 2x - 1 = x + 3
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = -1, 4.
When x = -1, y = -1 + 3 = 2.
When x = 4, y = 4 + 3 = 7.
So the answer is (-1, 2) and (4, 7).
what is the diameter of a circle with 28.26 as the area
Answer:
6
Step-by-step explanation:
are=A=πr2
28.26/3.14=9
√9=3
3•2=6
Answer:
6
Step-by-step explanation:
Area = πr^2
r = √(area/π)
r = √(28.26/3.14)
r = 3
and we know that,
d = 2r,
d = 2 x 3 = 6
Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm
Answer:
P = 98 cmStep-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
BC = 6, EF = 12 Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT. AA SAS SSS NOT
Answer:
SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
Option c or "SSS"
solve -3.5 = 0.5x +0.5x+x
Answer:
x= 7/4 =1.750
Step-by-step explanation:
Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x
Answer:
C. [tex]x[/tex] and $(x-6)$
Step-by-step explanation:
The roots of the quadratic equation are $0$ and $6$.
Hence the equation is $(x-0)(x-6)=x(x-6)$
Answer:
See below
Step-by-step explanation:
the the diameter of a circular Garden is 140 metre . On its outside there is a road of 7 metre wide find out the outer circumference of the road
Answer:
484 meters
Step-by-step explanation:
diameter of a circular Garden = 140 metre
we know diameter = 2*radius
140 = 2*radius
radius = 140/2 = 70 meter
thus, radius of garden is 70 meter
Given that
On its outside there is a road of 7 metre wide
Thus, radius of garden along-with road will increase by 7 meters
Total radius of garden and road = 70 meter + 7 meter = 77 meter
outer circumference of the road can be calculated using radius 77 meter.
we know that circumference = [tex]2\pi r[/tex]
we will use value of [tex]\pi = 22/7[/tex]
Thus, outer circumference of the road with radius 77 m
= [tex]2\pi r \\=>2*22/7 *77\\=> 44*11 = 484[/tex]
Thus,
The outer circumference of the road is 484 meters.
Which data set matches the box-and-whisker plot?
A) 12 13 15 19 23 23 25 26.5 28 30
B) 15 13 19 21 23 24 27 29 32
C) 11 31 13 15 19 21 21 25 27 29 31
D) 11 13 15 19 23 23 24 26.5 28 33
Answer:
D) 11 13 15 19 23 23 24 26.5 28 33
Step-by-step explanation:
The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:
Minimum value = 11
Q1 = 15
Median = 23
Q3 = 26
Maximum value = 33
From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.
The data set in option D has a minimum value of 11, and a maximum value of 33.
f(x) = x2. What is g(x)?
Answer:
-x^2 - 3
Step-by-step explanation:
SO we know f(x); x^2
when you place a (-), it flips teh image across the x-axis.
Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.
So we have -x^2-3
(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)
I checked my answer on a calculator btw lol.
If EH = 76, calculate DI.
Answer:
DI = 38
Step-by-step explanation:
Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is
[tex]\frac{DI}{EH}[/tex] = [tex]\frac{DC}{EC}[/tex] , substitute values
[tex]\frac{DI}{76}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2DI = 76 ( divide both sides by 2 )
DI = 38
20 squared (+5) divided by 100
The answer is 4.05
Step-by-step explanation:
20^2 is 20•20 which is 400 || +5=405 || /100=4.05
Marissa drew the triangle shown below.
Answer:
13.6
Step-by-step explanation:
tan(45)=x÷8.5
1.6=x/8.5
x=13.6
Use the law of sines
x/sin(45) = 8.4/sin(85)
x = sin(45)*8.4/sin(85)
x = 5.96238563941842
x = 6.0
What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3
Answer:
c. 5.333...
Step-by-step explanation:
When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...
The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the fraction of 16/3
So divide 16 by 3
16/3 = (15 + 1 )3
⇒ 15/3 + 1/3
⇒ 5 + 0.333
⇒5.3
Hence "The decimal 5.33 will be equivalent to 16/3".
To learn more about the arithmetic operators,
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x + y = 0
y = 2x + 6
8
Now graph y = 2x + 6 What are the graphing points (there needs to be 3 pairs)
Answer:
(-3,6) (1,8) (2,10) and so on.
evaluate 5!+2!. Thank you!
Answer:
122
Step-by-step explanation:
5!=5 x 4 x 3 x 2 x 1 = 120
2!=2 x 1 = 2
120+2=122
6
1 point
Label the steps in order to solve the following equation:
-11 - 5z = 6 (5z + 4)
&
1
-11 - 5z = 30z + 24
2
-35 = 352
3
-11 = 352 + 24
4
-1=2
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
-11 -5z = 30z +24 . . . . . eliminate parentheses-11 = 35z +24 . . . . . . . . add 5z-35 = 35z . . . . . . . . . . . . subtract 24-1 = z . . . . . . . . . . . . . . . . divide by 2state the vertical distance and horizontal distance of the two pairs of points given.
Answer:
the horizontal distance is the x-intercept, and the vertical distance is the y-intercept
1) x-int=1, y-int=1
2) x-int=6, y-int=5
Please answer ASAP. The question is down below
Answer: 1) D 2) B
Step-by-step explanation:
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.
Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.
Therefore, options (i) and (iv) are not rational expressions.
Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
If a^b= b^a and a = 2b then find the value of a^2+b^2
a) 20
b) 30
c) 28
d) 24
Answer:
[tex]\large \boxed{\sf \bf \ \ a^2+b^2=20 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]a^b=b^a\\\\\text{ We can replace a by 2b.}\\\\(2b)^b=2^b\cdot b^b=b^{2a}=b^2\cdot b^b\\\\\text{ Let's assume that b is different from 0 and we can divide by }b^b \\ \\ \text{ both sides of the equation, and it come.}\\\\2^b=b^2\\\\\text{ We find b = 2 and then a = 4, So}\\\\a^2+b^2=4^2+2^2=16+4=20[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The 1275 students who accepted admission to Academic University in 2016 had an average SAT score of 1356. Is 1356 a population parameter or a sample statistic?
Answer:
population parameter
Step-by-step explanation:
A population is said to be category of individuals under study.
A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.
In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.
∴
The average SAT score of 1356 in the given study is a population parameter
