Answer:
Yes
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio of two integers, for example, 1/2. Rational numbers can be negative too. -15.5 can be expressed as the ratio of two integers in many ways: -31/2 or -62/4. So, yes! -15.5 is a rational number.
A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.
If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?
Answer:
x + y = 745
23.50x + 58.75y = 29,668.75
Step-by-step explanation:
Since 745 copies were sold and x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:
x + y = 745
Since the home edition costs $23.50, and the business edition costs $58.75:
The money earned from home edition is = 23.50x
The money earned from business edition is = 58.75y
Since the company earned $29,668.75:
23.50x + 58.75y = 29,668.75
Evaluate the expression. r = , v = , w = v ⋅ w (5 points)
Answer:
Step-by-step explanation:
i lost my old brainly account name it was called official norths :( i forgot the password i will love if you help me with this please The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?
Answer:
86° Fahrenheit
Step-by-step explanation:
F=1.8C + 32
C=30°
Plugging into the formula:
[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]
The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.
Answer:
86 degrees
Step-by-step explanation:
3:7 ratio what fraction does he get
Answer:
3/10
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7.
3+7=10
The fraction Lucy gets is 7/10
The fraction Josh must get is 3/10.
Is the graph increasing, decreasing, or constant?
Prove that the difference between between squares of consecutive even number is always a multiple of 4. Let n stand for any integer in your working.
Answer:
2n and 2n+2 are two consecutive even numbers, then the difference of their squares is:
(2n+2)²- (2n)²= (2n+2+2n)(2n+2-2n)= (4n+2)*2= 2*(2n+1)*2= 4*(2n+1)As we see it is multiple of 4.
Two
angles
Complementary
one angle
measures 22 degrees. The
other measure
2x degrees solve for
x
A 62
B 34
c. 158
d 79
Answer:
Option B
Step-by-step explanation:
Complementary Angles add up to 90 degrees
So,
Other Angle = 90-22
Other Angle = 68 degrees
Also Other Angle = 2x (Given)
So,
2x = 68
Dividing both sides by 2
=> x = 34
Regina is beginning a training program to prepare for a race. In week 1, she will run 3 miles in each workout. Each week thereafter, she plans to increase the distance of her runs by 20%. Write an equation to show the number of miles Regina plans to run during her workouts each week. Use the variable "n" to represent the week number.
Answer:
Mₙ= 3*1.2⁽ⁿ⁻¹⁾
Step-by-step explanation:
week 1- 3 miles
week 2 - +20% ⇒ 3*1.2
week 3- +20% ⇒ 3*1.2*1.2
...
week n- +20% ⇒ 3*1.2⁽ⁿ⁻¹⁾
Mₙ= 3*1.2⁽ⁿ⁻¹⁾
Mₙ - miles on week n
HELP ASAP!!! ANWER AS QUICKLY AS POSSIBLE PLEASE.
Answer:
(17,0) and (-2,19)
Step-by-step explanation:
First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.
can you please help ?
Answer:
17
Step-by-step explanation:
Plot in the points for each variable to find the y-intercept.
1=-4(4)+c
1=-16+c
1+16=c
17=c
9=-4(2)+c
9=-8+c
9+8=c
17=c
Answer:
Step-by-step explanation:
Given:
2 Points
(4,1) and
(2,9)
Slope
m = (y2 - y1)/(x2 - x1)
y2 = 9
y1 = 1
x2 = 2
x1 = 4
m = (9 - 1) / (2 - 4)
m = 8 / - 2
m = - 4
y intercept
y = mx + b
y = -4x + b
Use (9, 1) to find the y intercept
1 = - 4*9 + b
1 = - 36 + b
b = 37
Answer
The equation is y = - 4x + 37
What is another way to write the absolute inequality |p|<12?
Answer:
[tex]-12<p<12[/tex]
Step-by-step explanation:
[tex]\left|p\right|<12[/tex]
The interval notation is (-12, 12).
[tex]-12<p<12[/tex]
omg help what is 2 divided by 5 times 83 to the power of four times -19 plus 1
Answer:
94916624
Step-by-step explanation:
Your equation could be written several different ways.
Mine was: [tex]2/5(5)(83^4)-19+1[/tex]
If you written it to [tex]\frac{2}{(5)(83^4)} -19 + 1[/tex], it would be -18
2 (a) Two mathematically similar containers have heights of 30 cm and 75 cm. The larger container has a capacity of 5.5 litres. Calculate the capacity of the smaller container. Give your answer in milliliter
Answer:
V(small) = 352 milliliters
the capacity of the smaller container is 352 milliliters
Step-by-step explanation:
Given that the two containers are similar, their dimensions follows the same ratio.
Ratio of their length;
Length(smaller) =30 cm
Length(larger) = 75 cm
Ratio = Length(smaller)/Length(larger) = 30cm/75cm
Length Ratio = 2/5
The ratio of their Volumes will be;
Ratio of volume = ratio of length raised to power three.
Rv = Rl^3
Rv = (2/5)^3
Rv = 8/125
The volume of the smaller container;
V(small) = Rv × V(large)
Volume of larger container V(large) = 5.5 litres
substituting the values;
V(small) = 8/125 × 5.5 litres
V(small) = 0.352 litres
V(small) = 352 milliliters
the capacity of the smaller container is 352 milliliters
someone help me asap
Answer: b > 13
Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.
Answer:
b > 13
Step-by-step explanation:
Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.
Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?
Answer:
They both intersect eachother
Step-by-step explanation:
Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the left of the circle is shaded. A number line going from 95 to 103. A closed circle is at 98.6. Everything to the left of the circle is shaded.
Answer:
The correct option is;
A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.
Step-by-step explanation:
To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to
The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle
Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.
Answer:
the correct answer is A
Step-by-step explanation:
I need help with these two please help me!
Answer:
0.50
Step-by-step explanation:
Simply plug -2 in for x into the equation.
2(2^-2) = 0.50
Answer:
0.50
Step-by-step explanation:
16 is what percent of 80? A 15% B 20% C 25% D 30%
Answer:
20%
Step-by-step explanation:
16/80= ?/100
16 times 100 is 1600
1600 divided by 80 is 20%
hope this helps
Answer:
B. 20%
Step-by-step explanation:
16 as a percent of 80 can be written as:
16/80
Simplify the fraction using the greatest common factor 16.
16÷16/80÷16
1/5 = 0.2
1/5 as a percent is 20%.
Your friend has $100 when he goes to the fair he spends 10 to interfere in 20 on food Rides at the fair cost two dollars per ride which function can be used to determine how much money he has left over after x rides
Answer:
$70-$2x
Step-by-step explanation:
In the beginning, your friend spent $30 on interference and food, leaving him or her $70.
Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.
He subtracted that from the money he had which was $70.
Therefore, the equation is $70 - $2x
What is the midpoint of the segment shown below? For geometry worksheet!
Answer:
D
Step-by-step explanation:
The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.
What is the length of BD?
Round to one decimal place.
Help pls
Answer: 2.7
Step-by-step explanation:
Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words. Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.
Answer: This can be done by properly interpreting the words into appropriate signs and digits.
Please check below for explanation of WORD PROBLEMS.
Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;
(1) Sum refers to addition (plus)
(2) Difference refers to subtraction (minus)
(3) Product refers to multiplication (times) and
(4) Quotient refers to division (divide)
(5) The same as refers to equal to
Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.
So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."
A simple example would help to illustrate this;
Illustration:
(a) Four times a number added to a dozen would result in seven times that same number.
Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.
Added to a dozen means you add 4x to a dozen, that is 4x + 12.
This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,
4x + 12 = 7x.
Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).
To which subsets of the real numbers does 5 belong
Answer:
For example, 5 can be written as 5/1.
Step-by-step explanation:
The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope this helps you :)
Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7
Answer: -3 and 7
Step-by-step explanation:
x - 7
Add 7 to get 0
x - 7 ( + 7) = 0
x + 3
Subtract 3 to get 0
x + 3 ( - 3) = 0
Erik and Nita are playing a numers game. If the difference of their two numbers is less than 10 then Erik wins. If the differece between their two numbers is greater than 10 then Nita wins. The numbers to choose from are zero to twenty. What is the range of numbers that will win the game for your player? (Erik) If your player is Erik, assume that Nita chooses 7. Remember that Erik and Nita can only use numbers from zero to twenty)
Answer:
The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].
Step-by-step explanation:
We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.
The numbers to choose from are zero to twenty.
Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.
Given that Nita chooses 7.
Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;
[tex]|x-7|<10[/tex] , where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]
Further solving the above equation we get;
[tex]-10 < x-7<10[/tex]
[tex]-10+7 < x-7+7 < 10 + 7[/tex]
[tex]-3 < x < 17[/tex]
But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.
SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].
I need helppp fastttt!
Answer:
The cube root of 1331 is 11.
Step-by-step explanation:
11 times 11 times 11 = 1331
Answer:
11
Step-by-step explanation:
=> [tex]\sqrt[3]{1331}[/tex]
We'll prime factorize it!
=> [tex]\sqrt[3]{11*11*11}[/tex]
=> [tex]\sqrt[3]{11^3}[/tex]
Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]
=> [tex]11^{3*1/3}[/tex]
=> [tex]11^{3/3}[/tex]
=> [tex]11^1[/tex]
=> 11
The conditional relative frequency table below was generated by column from a frequency table comparing the gender of a student to what the student chose to wear on a specific day. Which would most likely indicate an association between the categorical variables? The value of G is similar to the value of H. The value of B is similar to the value of E. The value of G is not similar to the value of H. The value of B is not similar to the value of E.
Answer:
The value of G is not similar to the value of H
Step-by-step explanation:
As we can see that the sum of all frequencies equal to 1
In the given figure, if we add these frequencies so it would appear as follows
Like
A + D + G = 1
B + E + H = 1
And it is mentioned that D is much less than E, so we assume that pants are most wear cloth than shorts for both the genders i.e female and male that results in G is more than H.
Hence, the third option is correct
Option C: The value of G is not similar to the value of H.
The given conditional relative frequency table looks like:
[tex]\begin{center}\begin{tabular}{ c c c c } - & Male & Female & Total \\ \\Shorts & A & B & C\\ Skirts& D & E & F\\ Pants & G & H & J\\ Total & 1.0 & 1.0 & 1.0\end{tabular}\end{center}[/tex]
The total frequency adds up to 1 for both columns of Male and Female.
A + D + G = 1
B + E + H = 1
Since it is given that D is much smaller than the value of E, and assuming that shorts are less likely to be worn by either of the genders male or female, we reach to the conclusion that value of G must be higher than the value of H.
Thus, Option C: The value of G is not similar to the value of H is correct.
Learn more here:
https://brainly.com/question/1809498
What is the value of the exponential expression below 16^ 1/2
Answer:
4
Step-by-step explanation:
16^1/2
= [tex]\sqrt{16}[/tex]
=4
Answer:4
Step-by-step explanation:
BIG BRAIN
What property is used in the second step of solving the inequality below?
Given
5x-9 <91
5x < 100
X<20
Multiplication Property
O Identity Property
O Addition Property
O Multiplication Property
O Transitive Property
Answer:
addition
Step-by-step explanation:
Find the value of x in the given
right triangle.
10
37°
Х
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
x ≈ 8.0
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )
10 × cos37° = x , thus
x ≈ 8.0 ( to the nearest tenth )
The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.
cos37 = x/10
x = 10cos37
x = 10(0.79)
x = 7.9 ≈ 8 units
Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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