An example expression is the following:
$100 + $50n
What is an algebraic expression?An algebraic expression is a set of letters and numbers, in which the letters are called variables and take on an unknown value, the numbers are coefficients or independent terms while the variables are dependent terms.
We will write an algebraic expression to exemplify what has just been defined, with a verbal example.
A person has a business, and he adds $100 to the box (and his sales are on average $50 per hour, with this we build the expression of total income:
$100 + $50n
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What is the image point of (-5,0) after a translation left 2 units and down 1 unit?
Answer:
The image point of (-5, 0) after a translation left 2 units and down 1 unit would be the point (-7, -1).
Step-by-step explanation:
The original point is located at (-5, 0), a translation of two units to the left would be an increase of -2 in the x-axis, and a translation of down 1 unit would be an increase of -1 in the y-axis. Using the translation, you can infer that the new coordinate would be (-5 - 2, 0 - 1) or (-7, -1).
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were 140 five-dollar bills, and 255 one-dollar bills. What expression could he use to find out how much money was collected?
Whoever answers first gets brainlest! :)
Answer:
(140 × $5) + (255 × $1)
Therefore, the money was collected is $ [tex]955[/tex].
What is an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here given that,
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.
So, it is of the form:-
[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]
[tex]=700+255\\\\[/tex]
[tex]=955[/tex]$
Hence, the money was collected is $ [tex]955[/tex].
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In ADEF, what is sin D, in simplified form?
Answer:
In simplified form, sin D is;
4/5
Step-by-step explanation:
The given figure and dimension parameters in the question are;
Triangle ΔDEF is a right triangle
The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20
The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25
The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15
By trigonometric ratios, we have;
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]
∴ In simplified form, sin(D) = 4/5.
i dont understand any of this please help :(
Event A: Rolling a number less than 4 on a number cube Event B: Flipping heads on a coin toss What is the probability of A, the probability of B, and the probability of both A and B?
P(A) =
P(B) =
P(A and B) =
Answer:
first one is 1/2
the next one is 1/2
the last one is 1/4
Step-by-step explanation:
i just did it
The probability of A will be P(A) = 1/2. The probability of B will be P(B) = 1/2. The probability of A and B will be P(A and B) = 1/4
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Event A: Rolling a number less than 4 on a number cube.
Event B: Flipping heads on a coin toss
We need to find the probability of A, the probability of B, and the probability of both A and B.
The probability of A will be
P(A) = 1/2
The probability of B will be
P(B) = 1/2
The probability of A and B will be
P(A and B) = 1/2 x 1/2
P(A and B) = 1/4
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4.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
A. inverse variation; xy = 20
B. direct variation; y = 20x
C. direct variation; [tex]y=\frac{20}{x}[/tex]
D. inverse variation; [tex]\frac{y}{x} =20[/tex]
Answer: A. inverse variation; xy = 20
ANSWER
Step-by-step explanation: Brainly
B) xy=20
Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".
...............................................................................................................................................
Answer:
Option B is correct
Inverse variation , xy = 20
Step-by-step explanation:
Inverse variation states:
If
then the equation is in the form of:
or
xy = k ....[1]
As per the statement:
Given the data:
x : 2 4 8 12
y : 10 5 5/2 5/3
Let any value of x and y to find k:
x = 4 and y = 5
Substitute in [1] we have;
⇒20 = k
or
k = 20
then we get;
xy = 20
Check:
Substitute x = 12 and y = 5/3
⇒ true.
Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20
please give me the answer nothing else
Answer:
12.5
Step-by-step explanation:
12x6 is 12 + 5 meters = 12.5m
Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
A. y+2=−75(x+3)
B. y−4=−75(x−7)
C. y+3=−75(x+2)
D. y+7=−75(x−4)
Answer:
458435464546484845kdnh
Answer:
C. y+3=−7/5(x+2)
Step-by-step explanation:
Line is passing through the points (-2, -3) and (-7, 4).
Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5
Equation of line in the point-slope form is given as with point (-2, -3).
y - (-3) = - 7/5[x - (-2)]
y + 3 = - 7/5(x +2)
Please help? Is this correct i need tight now poease
Answer:
Yes
Step-by-step explanation:
Your answer is correct :) good job and keep it up!
BRAINLY TO WHOEVER HELPS ASAP
Answer:
l=-5,-2
m=-3,-3
n=-6,-6
Step-by-step explanation:
Point P'P
′
P, prime is the image of P(5,-5)P(5,−5)P, left parenthesis, 5, comma, minus, 5, right parenthesis under a translation by 222 units to the left and 555 units up.
What are the coordinates of P'P ?
Answer:
3,0
Step-by-step explanation:
which expression is equivalent to the expression shown?
Answer:
the answer is 7^12
Step-by-step explanation:
7^14 ÷ 7^2
14 - 2
12
The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find the median.
Height
182 - 188
175 - 181
168 - 174
161 - 167
154 - 160
147 - 153
140 - 146
Frequency
1
3
6
15
12
4
3
L
Given:
The height of 44 students (in centimeter) are presented in the given frequency distribution.
To find:
The median of the given data.
Solution:
The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.
The complete frequency distribution table is shown below:
Height Frequency L <cf
182 - 188 1 181.5 - 188.5 44
175 - 181 3 174.5 - 181.5 43
168 - 174 6 167.5 - 174.5 40
161 - 167 15 160.5 - 167.5 34 Median class
154 - 160 12 153.5 - 160.5 19
147 - 153 4 146.5 - 153.5 7
140 - 146 3 139.5 - 146.5 3
We have, [tex]n=44[/tex].
[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]
[tex]\dfrac{n}{2}=22[/tex]
The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.
Formula for median:
[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]
Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.
Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].
[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]
[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]
[tex]Median=160.5+1.4[/tex]
[tex]Median=161.9[/tex]
Therefore, the median of the given data table is 161.9.
4) x/5 =2
plz explain
26 + 58 rounded to the nearest ten
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
26+58=84
Rounded=80
If AC = 9 cm and tan ABC = 0.75, what is the length of BC?
Answer:
12 cm confirm ...................
From the concept of trigonometric ratios, we determine the length of the side BC is 6.75 cm.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The length of the side AC = 9cm.
The measure of tan∠ABC = 0.75.
We know tan = opposite/adjacent.
Here, the opposite is AC and adjacent is BC.
Therefore, 0.75 = 9/BC.
BC = 9×0.75.
BC = 6.75.
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1: The local street cart sells bacon egg and cheese sandwiches for $2.50,
and soft drinks for $0.75. The street vendor made a total of $933 after
selling a total of 747 sandwiches and soft drinks. (5 points)
HELP QUICK
Answer:
213 sandwiches
534 soft drinks
Step-by-step explanation:
system of equations, if you want better explanation, hmu in the comments.
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
Mark me Brainliest?
FREE BRAINLIEST TO WHOEVER ANSWERS CORRECT FIRST! A movie company conducts a survey using a representative sample of customers to determine their favorite type of movie. The results are shown below. Based on the survey results, how many customers are expected to prefer drama movies out of 2,500 customers?
Favorite Movie Types
.
Answer:
320 customers
Step-by-step explanation:
Well the chart given is a huge ratio since its a sample.
you would have this ratio
41:25:43:16
You can add them all up since then you would know how much people have actually be chosen for the survey.
You’d get 125. So 125 is the sample out of 2500 so we can divide to see how much of these “125” samples are in 2500.
You’d get 20.
So there are 20 “125” samples and we’re only focusing on drama which is 16 out of 125. 20*16 would be 320.
HELP PLEASE HELP PLEASE NO EXPLANATION
Sunlight hits the Earth at an angle. As a result of the tilt of the Earth, some areas of the Earth receive more direct sunlight than others, which means they receive more solar energy. Which statement correctly describes how solar energy changes as latitude changes?
A.
Oceans and lakes receive more solar energy than land masses.
B.
Lower latitudes receive more solar energy than higher latitudes.
C.
The poles receive the most solar energy of all places on the Earth.
D.
The equator receives the least solar energy compared to any other latitude.
Answer:
B. Lower latitudes receive more solar energy than higher latitudes.
i know i was late srry
Justin buys a shirt that costs 24 dollars and a jacket that costs 54 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$83.46
Step-by-step explanation:
24 + 54 =78
78 × 7% = 5.46
78 + 5.46 = $83.46
The radius of a circle is 11 in. Find its circumference in terms of \piπ.
Answer: C=
Answer:
C = 22cm
Step-by-step explanation:
If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
a) Line M
b)Line M
c)y=1/2x+2
Step-by-step explanation:
a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)
b) Line M has a greater slope since its line is steeper
c) Use the formula y=mx+b
Use the points ( 0,1) and (-4,-1)
m(slope)= y2-y1/x2-x1
m= (-1-1)/(-4-0)
m=-2/-4
m=1/2
substitute
(0)=1/2(-4)+b
2=b(y-intercept)
y=1/2x+2
Answer:
Red line has higher intercept and slope.
The equation for the line: y= 0.5x
Step-by-step explanation:
Brainliest can only be awarded when two people have answered the question.
identify the vertex of the graph
Answer:
(-1,-3)
Step-by-step explanation:
Answer:
y = a(x – h)2 + k,
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
PLEASE HELP ME ASAP
Answer: -2
Step-by-step explanation: add all of the answers together to get -18. Then, divide by the total amount of numbers, 9 numbers in total. -18/9=-2
Answer:
2.111...
Step-by-step explanation: add the numbers altogether and divide by how many number you added
What number is missing to make the following statement true 8 11/15= 7 ?/15
Answer:
7 26/15
Step-by-step explanation:
all you have to do is add 15 to the 11.
Whats the volume of the cone?
use the fórmula V=1/3πr^2h.
D is correct. you’re welcome.
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1 day, what is the size of the colony after 4 days? How long is it until there are 40,000 mosquitoes? What is the size of the colony after 4 days?
Answer:
5832 mosquitoes
Step-by-step explanation:
As we know
[tex]A = A_0 * e^{kt}\\[/tex]
Where A is the population after t days
A0 is the initial population
k is rate constant and
t is the time in days
Substituting the given values we get
[tex]1900 = 1000 * e^{1 * k}\\1.9 = e^{1 * k}\\k = 0.587[/tex]
Size of colony after 4 days
[tex]A = 1000 * e^ {(0.587*4)}\\A = 5832[/tex]mosquitoes
In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
Find the missing lengths of this triangle.
Can someone help me???