Answer:
900 g
Step-by-step explanation:
Increase by 20% means 120% of the value
120/100 × 750
900g
You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day and 6 the next day. Write an expression that shows the total number of CDs sold both days. Rewrite your answer using the Commutative Property of Addition.
Answer: 30+x+y
Step-by-step explanation:
Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.Given : Number of CDs sold by friend on first day = 14
Number of CDs sold by friend on next day = x
Total CDs sold by friend = 14 +x
Number of CDs sold by you on first day = 16
Number of CDs sold by you on next day = y
Total CDs sold by you = 16+y
The expression that shows the total number of CDs sold both days =
Total CDs sold by friend + Total CDs sold by you
= 14 +x+ 16+y
= 14 +(x+ 16)+y
= 14 +(16+x)+y [By Commutative Property of Addition.]
= 14+16+x+y
= 30+x+y
Hence, the expression that shows the total number of CDs sold both days :
30+x+y
Rewrite each expression as a product of two fractions, one of which is equal to 1
(a) 10^5/10^2 = 1000
(b) x^2/x^6 = 1/(x^4)
(c) x^4y/xy^8 = x^3/y^7
a) To rewrite the expression 10^5/10^2 as the product of two fractions, we can write it as (10^5)/(10^2) = (10 * 10 * 10 * 10 * 10) / (10 * 10).
Next, we can simplify this expression by canceling out the common factors in the numerator and denominator. Since both the numerator and denominator have 10 as a common factor, we can simplify further to get (10 * 10 * 10 * 10 * 10) / (10 * 10) = 10 * 10 * 10 = 1000.
Therefore, the equivalent and simpler expression for 10^5/10^2 is 1000.
(b) For the expression x^2/x^6, we can rewrite it as (x * x) / (x * x * x * x * x * x).
Next, we can simplify this expression by canceling out the common factors in the numerator and denominator. Since both the numerator and denominator have x as a common factor, we can simplify further to get (x * x) / (x * x * x * x * x * x) = 1 / (x * x * x * x).
Therefore, the equivalent and simpler expression for x^2/x^6 is 1/(x^4).
(c) To rewrite the expression x^4y/xy^8 as the product of two fractions, we can write it as (x * x * x * x * y) / (x * y * y * y * y * y * y * y).
Next, we can simplify this expression by canceling out the common factors in the numerator and denominator. Since both the numerator and denominator have x and y as common factors, we can simplify further to get (x * x * x * x * y) / (x * y * y * y * y * y * y * y) = (x^3) / (y^7).
Therefore, the equivalent and simpler expression for x^4y/xy^8 is x^3/y^7.
Complete question :-
Rewrite each expression as the product of two fractions, one of which is equal to . Then, write it as an equivalent, but simpler, expression.. (a) 10^5/10^2 (b) x^2/x^6 (c) x^4y/xy^8
PWEASE HELP ASAP my friends and I cant figure this out I'm hoping one of u guys can
The number of viruses was 4000 times greater than number of protozoa.
Step-by-step explanation:
Given,
Number of protozoa = [tex]5*10^5[/tex]
Number of viruses = [tex]2*10^9[/tex]
Let,
x be the number of times number of viruses is greater than number of protozoa.
Number of viruses = Number of time * Number of protozoa
[tex]2*10^9=(5*10^5)x[/tex]
Dividing both sides by [tex]5*10^5[/tex]
[tex]\frac{2*10^9}{5*10^5}=\frac{(5*10^5)x}{5*10^5}\\\\4*10^3= x\\x=4*10^3 \\x=4000[/tex]
The number of viruses was 4000 times greater than number of protozoa.
Keywords: division, scientific notation
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A number is chosen at random from 1 to 50. Find the probability of selecting either a multiple of 4 or a multiple of 5
The probability of selecting either a multiple of 4 or a multiple of 5 is [tex]\frac{11}{25}[/tex] or 0.44
Solution:
Given that, A number is chosen at random from 1 to 50
selecting either a multiple of 4 or a multiple of 5
Sample space is given as:
{ 1, 2, 3, ................, 50 }
Muliples of 4 = 4, 8, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52
Favorable outcomes = 12
Muliples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Favorable outcomes = 10
The probability is given as:
[tex]Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}[/tex]
[tex]probability = \frac{12}{50} + \frac{10}{50}\\\\probability = \frac{12+10}{50}\\\\probability = \frac{22}{50}\\\\probability = \frac{11}{25} \text{ or } 0.44[/tex]
Thus probability of selecting either a multiple of 4 or a multiple of 5 is [tex]\frac{11}{25}[/tex] or 0.44
The probability of selecting either a multiple of 4 or a multiple of 5 is 11/25.
What is the probability of selecting either a multiple of 4 or a multiple of 5?A multiple of a number is the product of an integer and that number.
The first step is to determine the numbers that are a multiple of 4. They are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. There are 12 numbers.
The second step is to determine the numbers that are a multiple of 5. They are : 5, 10 15, 20, 25, 30, 35, 40, 45, 50. There are 10 numbers.
Probability of picking a multiple of 4 or 5 = 12/50 + 10/50 = 22/50 = 11/25
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what is the volume of the cylinder if the height is 2x+7 and the radius is x-3
Answer:
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Step-by-step explanation:
Given height of a cylinder is (h) =2x+7
and radius (r)= x-3
Volume of the cylinder = [tex]\pi r^2 h[/tex]
[tex]=\pi (x-3)^2(2x+7)[/tex]
[tex]=\pi (x^2-6x+9)(2x+7)[/tex]
[tex]=\pi (2x^3-12x^2+18x+7x^2-42x+63)[/tex]
[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
What is the answer and step by step equations of 6=a/4 +2
Answer:
Step-by-step explanation:
Try photomath
Answer:
a= 16
Step-by-step explanation:
6 = a/4 + 2
6 - 2 = a/4
4 = a/4
a= 16
Find the slope of the line that passes through these two points: (14, -4) and (-4, 20) 3/14 -3/14 -14/3 14/3
Answer:
-4/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(20-(-4))/(-4-14)
m=(20+4)/-18
m=24/-18
simplify
m=-4/3
What is 3822 devided by 39
Answer:
98
Step-by-step explanation:
0 0 9 8. 0 0 0
3 9 3 8 2 2. 0 0 0
− 0
3 8
− 0
3 8 2
− 3 5 1
3 1 2
− 3 1 2
0 0
− 0
0 0
− 0
0 0
− 0
0
Answer: 98
Step-by-step explanation:
There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white,
2
5
of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?
Final answer:
To find the number of boats in the marina, we use the information given about the proportion of white, blue, and red boats. By setting up an equation and solving for the total, we find that there are 222 boats in the marina.
Explanation:
To find the number of boats in the marina, we need to start with the information given. The problem tells us that five-sixths of the boats in the marina are white, and then 25 of the remaining boats are blue. The rest of the boats are red, with a total of 12 red boats.
We can start by finding the fraction of boats that are red. Since five-sixths are white, the remaining fraction of boats that are not white is one-sixth. We know that 25 boats are blue, so if we subtract this from the one-sixth, we are left with the fraction that represents the red boats.
Let's set up an equation to solve for the total number of boats:
1/6 - 25 = 12
Simplifying the equation, we have:
1/6 = 12 + 25
1/6 = 37
Multiplying both sides of the equation by 6, we get:
1 = 37*6
1 = 222
Therefore, there are a total of 222 boats in the marina.
How fast can a car going that traveled 330 and 1/3miles in 5 and 1/4 hour show your work
Answer: [tex]62.92 \frac{mi}{h}[/tex]
Step-by-step explanation:
If we are asked about how fast a car is going, this means we are asked about its velocity [tex]v[/tex], which is defined by the relation between the traveled distance [tex]d[/tex] and time [tex]t[/tex]:
[tex]v=\frac{d}{t}[/tex]
Where:
[tex]d=(330+\frac{1}{3}) mi=330.33 mi[/tex] is the traveled distance
[tex]t=(5+\frac{1}{4}) h=5.25 h[/tex] is the time
Solving the equation with the given information:
[tex]v=\frac{330.33 mi}{5.25 h}[/tex]
Finally:
[tex]V=62.92 \frac{mi}{h}[/tex] This is the car's velocity
Answer:
The speed of the car is 77.72 miles per hour
Step-by-step explanation:
To find out how fast is a car travelling when it traveled 330 and 1/3 miles in 4 and 1/4 hours following formula will be used
Speed= [tex]\frac{Distance}{Time}[/tex]
Total distance = 330 and 1/3
= 330+ 0.33
= 330.33 miles
Total time = 4 and 1/4
= 4 + 0.25
= 4.25 hrs
putting the values in equation we get speed of car
Speed= [tex]\frac{330.33}{4.25}[/tex]
Speed = 77.72 miles per hour
So the speed of the car is 77.72 miles per hour
Keywords: Calculating speed
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Consider the figure below. Please help!!!!!
Answer:
B. T<-4, -2>, r(90°, O)
Step-by-step explanation:
Point A' is 4 units left and 2 units down from point A, so the translation is T<-4, -2>.
Segment C"D" is on the -x axis, 90° counterclockwise from segment C'D' on the +y axis. Since rotation angles are measured the same way other angles are measured (positive is CCW), the rotation is +90° about the origin.
The congruence transformation that maps the quadrilateral ABCD to A''B''C''D'' is [tex]T_{ < -4, \, -2 > } \circ T_{90^{\circ}}, origin > (ABCD)[/tex] which corresponds with the option B.
B. [tex]T_{ < -4, \, -2 > } \circ T_{90^{\circ}}, origin > (ABCD)[/tex]
What is a congruent transformation?A congruent transformation, which is also a rigid transformation is one in which the size and shape of the original figure is preserved.
The coordinates of the vertices of the quadrilaterals ABCD and A'B'C'D' indicates that the transformation from the quadrilateral ABCD to the quadrilateral A'B'C'D' is a translation of 4 units to the left and 2 units downwards, which can be expressed as T<-4, -2>
The side D'C' in the quadrilateral A'B'C'D' is vertical while the side D''C'' in the quadrilateral A''B''C''D'' is horizontal and due to the order of the letters D'' and C'' in D''C'' arranged from left to right suggesting a 90° counterclockwise rotation about the origin, which is a T90°, origin
The congruence transformation that maps ABCD to A''B''C''D'' therefore is the option B, [tex]T_{ < -4, \, -2 > }\circ T_{90^{\circ}}, origin > (ABCDE)[/tex]
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Which graph shows a dilation of the rectangle with a scale factor of 2?
the first one is part of the question not an answer iption
Answer:
The graph that shows the dilation of the rectangle in the attached figure
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem we have that the scale factor is equal to 2
Remember that
If a scale factor is greater than 1, then the dilation is a enlargement
To find out the dimensions of the dilated figure multiply the original dimensions by the scale factor
The original dimensions of rectangle are
[tex]b=2 units\\h=4\ units[/tex]
The dimensions of the dilated rectangle are
[tex]b=(2)2=4\ units\\h=(2)4=8\ units[/tex]
therefore
The graph that shows the dilation of the rectangle in the attached figure
Answer:
the answer is the last graph
Step-by-step explanation:
you just have to add 2 squares to each one square
i did the test and got 100%
What is 11.51 rounded to the nearest ones
Answer:
12
Step-by-step explanation:
11.5 rounds the .5 to 12
Another one got MATHED
12
Step-by-step explanation:
anything below five is rounded down
what does |-7|+5 equal too?
Answer:
12 = x
Step-by-step explanation:
The | | mean absolute value. Pretty much making every number within the sign a positive.
|-7| + 5 = x
7 + 5 = x
12 = x
Hope this helps.
Whenever you see this " | | " character, it means that whatever negative number in between those characters are always positive.
It converts -7 to just 7. This makes the question 7+5.
Giving you the answer 12.
Daniella is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Daniella has two vertices of the garden at points (Negative3, Negative 1) and (4, Negative 1). On a coordinate plane, points (negative 3, negative 1) and (4, negative 1) are plotted. At which points should Daniella have the other two vertices in order to make the area of her garden 35 square feet? (Negative 3, 1) and (4, 1) (Negative 3, 2) and (4, 2) (Negative 3, 3) and (4, 3) (Negative 3, 4) and (4, 4)
Answer:
d
Step-by-step explanation:
We know that the length of the garden is 4 - (-3) = 7 feet, the answer is (Negative 3, 5) and (4, 5).
What are vertices?A vertex is a point in geometry where two or more curves, lines, or edges intersect.
As a result of this definition, vertices are the points where two lines intersect to form an angle, as well as the corners of polygons and polyhedra.
Let's assume that the other two vertices are at points (a, b) and (c, d). The area of the garden can be calculated as follows:
Area = Length × Width
35 = 7 × (b - (-1)) [since the width is the distance between the y-coordinates of the vertices]
Simplifying the above equation, we get:
b - (-1) = 5
b = 4
So, one of the vertices should be at (a, 4) and the other at (c, 4). Since the garden is symmetrical about the x-axis, the y-coordinate of the missing vertices is 1 more than the y-coordinate of the given vertices. Hence, the other two vertices should be at (−3, 5) and (4, 5).
Therefore, the answer is (Negative 3, 5) and (4, 5).
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-3(p-7) > 21 solve for p
Answer:
p < 0
Step-by-step explanation:
Given
- 3(p - 7) > 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
p - 7 < - 7 ( add 7 to both sides )
p < 0
Question 3: 12 points
3. The area of a rectangle is 45x8y9 square yards. If the length of the rectangle is 5x3y4 yards,
find expression represents the width of the rectangle in yards?
please help!! i will mark you brainiest
Answer:
[tex]9x^{5}y^{5}[/tex] yards.
Step-by-step explanation:
Given that the area of a rectangle (A) is [tex]45x^{8}y^{9}[/tex] square yards.
If the length of the rectangle (L) is given to be [tex]5x^{3}y^{4}[/tex] yards, then we have to find the width (W) of the rectangle in yards.
Now, A = L × W
⇒ [tex]W = \frac{A}{L} = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} = (\frac{45}{5})\times (\frac{x^{8}}{x^{3}}) \times (\frac{y^{9}}{y^{4}}) = 9x^{8 - 3}y^{9 - 4} = 9x^{5}y^{5}[/tex] yards. (Answer)
Find the value of x in the triangle shown below
a. √8
b. √32
c. 32
d. 8
Answer:
5.65685424949 or 5.66
Step-by-step explanation:
In a right-angled triangle, the longest side/leg is called the hypotenuse.
The formula to solve for the hypotenuse is:
hyp^2= side^2+side^2
If the hypotenuse of the triangle is already given then we have to solve for a side.
The formula to solve for the side is:
side^2= hyp^2-side^2
This formula to solve for the side is the opposite of solving for the hypotenuse which is the longest side/leg of the right-angled triangle.
In this question we have to solve for the side.
There are two sides in this triangle. Let's name those sides side a and side b. Side a is already given.
hyp= 9
side a = 7
side^2 = hyp^2-side^2
side b = 9^2 - 7^2
side b = 81 - 49
side b = 32
side b = √32
side b= 5.65685424949. to 2 decimal places -> 5.66
Which graph below shows the solution for the linear inequality y>-1/3x+1
Answer:
no graphs r shown...
Step-by-step explanation:
up 1 on y axis then up one for every 3 xs
How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?
Answer:
Therefore,
There are Four i.e 4 terms in the expression,
[tex]-7+12x^{4}-5y^{8}+x[/tex]
Step-by-step explanation:
Algebraic Expression:
An algebraic expression is a mathematical expression that consists of variables, numbers and operations.
Variables with the coefficient is called as Term.Number is also a term.Here the Expression is
[tex]-7+12x^{4}-5y^{8}+x[/tex]
So,
[tex]-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term[/tex]
In all there are Four i.e 4 terms in the given expressions.
Therefore,
There are Four i.e 4 terms in the expression,
[tex]-7+12x^{4}-5y^{8}+x[/tex]
4 is the answer and no explanation
hope this helps and on edgenuity it is D
On the calculator, click on the graph of y = 3x2 and trace to view the coordinates. When the x-coordinate is 4, what is the y-coordinate?
Answer:
48
Step-by-step explanation:
i just did it
For the given graph y = 3x²:
The value of y at x = 4 is 48.
Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The given function is,
y = 3x²
And x = 4
To find the value of y,
Put x = 4 in the given fucntion we get,
y = 3(4²)
Simplifying we get,
y = 48
A graph is also attached to illustrate these points.
Hence,
At x = 4 the value of y is 48.
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Rewrite as a simplified fraction.
1.6= ?
Answer:
1 3/5
Step-by-step explanation:
Robins eat 12 worms in the morning on an average sunny day. On rainy days, robins average 4 fewer worms per morning. Last week, there were 3 sunny days and 4 rainy days. How many worms did a robin eat that week?
Answer:
i think it is 68
Step-by-step explanation:
12 x 3 = 36
8 x 4 = 32
36 + 32 = 68
How do you compare and order fractions?
Answer:
Give each a common denominator
Step-by-step explanation:
So let’s say you have 1/2 and 2/4 how would you know which is bigger well we know both 2 and 4 go into 4 so 1/2 x2 = 2/4 so these 2 are equal
How do you write y= 1/2 x+2 in standard form?
x - 2y = -4 is the standard form of equation
Solution:
Given equation is:
[tex]y = \frac{1}{2}x + 2[/tex]
We have to write the equation in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
From given,
[tex]y = \frac{1}{2}x + 2[/tex]
Simplify the above equation
[tex]y = \frac{x+4}{2}\\\\2y = x + 4[/tex]
Shift the variable terms to the left side of the equation and everything else to the right side
[tex]x - 2y = -4[/tex]
Thus the standard form of equation is found
PLEASE HELP ME!!!!!
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
x y
1 221
2 217
3 213
4 209
82 ?
When you subtract the y values you find that each increase in x decreases y by 4.
X is going from 4 to 82 which is 78 units.
78 x 4 = 312
Subtract 312 from the last y value:
209 - 312 = -103
The answer is -103
Answer:
When x = 82, y = -103
Step-by-step explanation:
So an arithmetic sequence is a sequence whose terms differ by a constant value. To find the value of the [tex]n^{th}[/tex] term we need to form an equation for the sequence.
Equation to the sequenceFirst we need to find the difference between the values of the sequence. In this case the difference is -4:
217 - 221 = -4, 209 - 213 = -4
So the equation is:
[tex]n^{th}[/tex] term = -4n + c
Now we need to find the c, so we substitute the [tex]n^{th}[/tex] term and the term number and solve the equation:
221 = (-4 x 1) + c
221 = -4 + c
c = 225
So the final equation is:
[tex]n^{th}[/tex] term = -4n +225
Finding the 82nd termNow all we need to do is substitute into the equation and find the answer:
[tex]n^{th}[/tex] term = (-4 x 82) + 225
[tex]n^{th}[/tex] term = -328 +225
[tex]n^{th}[/tex] term = -103
plz help meeeeeeeeeeeeeee
Answer:
its 9.4 im pretty sure
Please I need help
The first person to answer correctly will be the brainliest. Please help I’m desperate.
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation:
-1/20 = -2/40
-5/8 = -25/40
-3/4 = -30/40
0 = 0/40
-1 = -40/40
What percent if $6 equals $3
Answer:
50%
Step-by-step explanation:
50% is half. Half of 6 is 3. 3 dollars.
How to solve fractions with different denominators
Step-by-step explanation:
To solve such fractions you need to make their denominators equal. For example:
[tex] \frac{5}{6} + \frac{4}{7} = \frac{5 \times 7 + 4 \times 6}{6 \times 7} = \frac{35 + 24}{42} \\ = \frac{59}{42} \\ [/tex]