Answer:
Option C: 74 is both a whole number and a rational number.
Step-by-step explanation:
A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.
Examples include -1/4, 1/2, 12
So it's obvious that the given number of 74 is a rational number.
Now, a whole number is simply a non - negative integer.
An integer is a number that is not a fraction.
Thus, examples of whole numbers are 0, 1, 2, 3, 4...
So 74 is clearly a whole number.
Therefore, we can conclude that 74 is both a whole number and a rational number.
5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data
Answer:
the mode is 3.
Step-by-step explanation:
when organized, it's in this order:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6
the most repeated number in the dataset is 3.
If you help not only will I give you brainliest but also you gain good deeds.
2/3 - 2/5
= 10/15 - 6/15
= 4/15
Prove that DE is parallel to BC.
Please help, will award brainliest.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes are equal then DE and BC are parallel lines
Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,
Answer:
-1029
Step-by-step explanation:
24, 11, -2...
f(n) = 24 - 13n
f(81) = 24 - 13(81) = 24 - 1053 = -1029
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
Il signor Rossi percepisce uno stipendio mensile di2000 euro. L’azienda dove lavora, in seguito a un periodi di utili superiori al previsto, aumenta gli stipendi del 6%.Successivamente, a causa di un periodo di crisi, gli stipendi vengono diminuiti del 6%. Dopo l’aumento e la diminuzione, a quanto ammonterà lo stipendio del signor Rossi? E qual e in percentuale la variazione di stipendio rispetto allo stipendio iniziale?
RISPOSTA: 1992,8 euro; -0,36%
Answer:
Mr. Rossi receives a monthly salary of 2000 euros. The company where he works, following a period of profits higher than expected, increases salaries by 6%. Subsequently, due to a period of crisis, salaries are reduced by 6%. After the increase and decrease, how much will Mr. Rossi's salary be? And what is the percentage change in salary compared to the initial salary?
Step-by-step explanation:
I translated it from Italian to English for you.
Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?
Answer:
$181.9
Step-by-step explanation:
Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.
English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.
The three-digit number "ab5" is divisible by 3. How many different three-digit numbers can "ab5" represent?
Answer:
30
Step-by-step explanation:
I can't prove this, but I can tell you the answer.
30.
a = 100 s digit
b = 10 s digit
5 is always the units digit.
I'm pretty sure that 30 is the correct answer.
What an interesting question. If I find out how it is done, I'll post it in the comments.
I can say this much.
a + b + 5 must be divisible by 3.
a = 1 b = 9 + 5
a = 1 b = 6 + 5
a = 1 b = 3 + 5
a = 1 b = 0 + 5
===============
Three more are obtained by interchanging the 100s and 10s digit except for b = 0
a = 9 b=1 + 5
a = 6 b =1 + 5
a = 3 b= 1 + 5
==================
a = 2 b = 2 + 5
a = 2 b = 5 + 5
a = 2 b = 8 + 5
only 2 more are obtained by interchanging the 10s and 100s digit
=============
a = 3 b = 4 +5
a = 3 b = 7 +5
You can't go any further. You get 2 more by interchanging the b and a digits.
=============
I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.
Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.
Answer:
bag of chips - 20 ; number of fruit snacks - 5 .
Step-by-step explanation:
In a survey of 1,500 people who owned a certain type of car, 300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
20%Step-by-step explanation:
Step one:
total number of people surveyed= 1500
we are told that 300 people would buy that car again,
this implies that they like the car and are satisfied with it
Step two:
the percent of people satisfied can be computed as
=300/1500*100
=3/15*100
=1/5*100
=0.2*100
=20%
The people surveyed were satisfied with the car are 20%
Using the segment addition postulate, which is true?
Answer:
BC + CD = BD
Step-by-step explanation:
that is the right answer
Answer:
D or BC+CD+BD
Step-by-step explanation:
Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?
Answer:
8 1/2
Step-by-step explanation:
A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile. The vector that describes their hike from their starting position to their final destination is
Answer:
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) A group of hikers walks 3 miles east and then 1 mile north:
[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
(ii) After taking a break, they then hike 4 miles east to their final destination:
[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex] (1)
[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]
[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)
Answer:
6.40312423 hope that helps
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)
d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]
= [tex]\sqrt{2^2+(-7)^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex]
If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.
Answer:
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Step-by-step explanation:
-y + 2x²- x = -5y³
2x² - x = y - 5y³
4x - 1 = dy/dx - 15y².dy/dx
dy/dx(1 - 15y²) = 4x - 1
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer: 56
Step-by-step explanation: Divide 42 by 3 and then multiply by 4
What is the value of the expression below when y = 8?
2y + 7
Answer:
Submit Answer
Answer:
23
Step-by-step explanation:
we will put 8 instead of "y" in the equation
2 x 8 + 7 = 23
Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .
Answer:
She started with 8 books.
Step-by-step explanation:
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answer:
y=2x-5
Step-by-step explanation:
Find the height of the tree in the diagram shown.
Answer:
Assuming we have the same question, the answer would be: D) h = 45tan59° ft
Step-by-step explanation:
5 2/5 as a decimal number
Answer:
27/5 = 5,4
Step-by-step explanation:
5 2/5 = 27/5 = 5,4
Can anyone please help me with #30? :(
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
which is greater 3/10 or 3%
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary
Answer:
[tex]P(A\ n\ B) = 0.557[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.78[/tex]
[tex]P(B) = 0.65[/tex]
[tex]P(A\ u\ B) = 0.873[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
From laws of probability, we have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute in values
[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]
[tex]P(A\ n\ B) = 0.557[/tex]
Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557
EASY HIGH POINTS
In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.
Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.
If W Z = 12 inches, what is the length of ZY?
3
4
8
12
Answer:
D. 12
Step-by-step explanation:
12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.
Answer:
4
Step-by-step explanation:
Karla needs 3.7 pounds of chicken. If each pound of chicken costs $4.50, how much will she need to spend altogether?
Answer: $16.65
Step-by-step explanation:3.7*$4.50=$16.65
The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain
Answer:5/14
Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered
CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST !
Answer:
25
Step-by-step explanation:
7^2+24^2=625 the sqr root of 625 is 25
Answer:
Answer is 25
Step-by-step explanation:
[tex]24x^{2} +7x^{2} =25x^{2}[/tex]
The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours
Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.