An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].
Let the number of bags of chips be x.Given the following data:
Total amount spent = $36Cost of each bag of chips = $2.95To write an inequality that represents the number of bags of chips, x, the teacher can purchase:
In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.
Translating the word problem into an algebraic expression, we have;
[tex]2.95x \leq 36[/tex]
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A house sold for $275,100.00. The buyer's real estate agent earned a commission of $11,004.00, and the seller's real estate agent earned a commission of $6,877.50. What was the commission rate of each agent?
Answer:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
Step-by-step explanation:
Given that:
Amount for which the house was sold = $275,100.00
Earnings by buyer's Real Estate Agent = $11004.00
Earnings by seller's Real Estate Agent = $6,877.50
To find:
The commission rate of each agent = ?
Solution:
Commission rate can be calculated by finding the percentage for both the real estate agents with the amount for which the house was sold.
i.e.
[tex]\text{Rate of Buyer's agent } = \dfrac{\text{Earnings of Buyer's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$11004.00}{\$275,100.00}\times 100 = 4\%[/tex]
[tex]\text{Rate of Seller's agent } = \dfrac{\text{Earnings of Seller's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$6,877.50}{\$275,100.00}\times 100 = 2.5\%[/tex]
Therefore, the answer is:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
Lowest common denominator in 2/3 and 1/2
LCD = 6
Equivalent Fractions with the LCD
2/3 = 4/6
1/2 = 3/6
The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one of the relationships between weeks and total hours studied is proportional. Whose number of total hours studied is proportional to the number of weeks studied ? For the proportional relationship, write an equation to represent y, the total number of hours studied, in terms of x, the number of weeks. Explain how u determined your equation. Pls help
Answer:Y times X = 5
Step-by-step explanation:
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represent proportional relationship
Equation for it is: y = 2.5x
Calculation is provided on the table
If a tree casts a 10 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree.
Answer:
is 12 feet
Step-by-step explanation:
I need points dude!
I'm so lost in trigonometry please help
will mark brainliest!!
Answer:
the angle is 176
Step-by-step explanation:
Complete the steps to solve for x.
4
1
-X = 11
07
4
II
x = 11
20
II
(11)
20
i hope it helps u:)))))actually I'm pretty sure about it because
11/20x=11
x=11×20/11
(11 gets cancelled and 20 is left)
therefore x=20
and this proves my answer
Is figure B and scale copy of figure A?
Answer:
Yes it is
Step-by-step explanation:
Why can you use the constant of proportionality with any representation?
Answer:
The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.Proportionality constant can be used with any representation to determine how a variable is changing with respect to others.
Variation is a method comparing the nature of a variable with another variable using a constant called the proportionality constant
For instance, if a variable y is directly proportional to x, it is expressed as;
y ∝ x
y = kx
k is the proportionality constant relating y to x and shows that as the value of y is increasing, the value of x is also increasing and vice versa.
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Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile driven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Answer:
216 miles
Step-by-step
ex15.95+.73x=173.63
.73x=173.63-15.95
.73x=157.68
x=157.68/.73
x=216 miles driven.
PROOF;
15.95+.73*216=173.63
15.95+157.68=173.63
173.63=173.63
Answer: Keith drove the truck for 123 miles
Step-by-step explanation:
17.99+0.97m=137.30
Subtract 17.99 on both sides:
17.99-17.99+0.97m=137.30-17.99
0.97m=119.31
Divide 0.97 on both sides:
0.97m/0.97=119.31/0.97
m=123 miles
How many values of x solve the equation g(x)=2? How can you illustrate your answer on the graph? Remember, we are not looking for the exact x-values, only how many solutions
Answer:
3 solutions
Step-by-step explanation:
To solve g(x) = 2
The solutions are at the points of intersection of g(x) and y = 2
y = 2 is the equation of a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 2
If you draw the horizontal line using say (0, 2) and (2, 2)
Then g(x) intersects y = 2 at 3 places
Thus there are 3 solutions to g(x) = 2
solve for x.
7x/2+5=8
Answer:
x=6/7
Step-by-step explanation:
7x÷2+5=8
divide by 2 on both sides:
7x/2+5=8(it's a fraction)
subtract 5 on both sides
7x÷2=3
multiply 2 on both sides
7x=6
divide by seven on both sides
x=6/7
hope this was helpful and the instructions were clear enough!
Round the number to the place of the underlined digit. 4.327
Answer:
Tenths -- 4.3
Hundredths -- 4.33
Thousandths -- 4.327
Ones -- 4
Step-by-step explanation:
did I get all of these right? feedback from experts please!
Answer:
ucf8riucfuvigruvufgv
Step-by-step explanation:
u7dfi8t57dch
The marked price of a machine is $1200. How much will it cost if there is a discount of 20%? *
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
Determine the type of triangle that is drawn below. ASAP PLZZ!!!!!
Answer:
Isosceles right
Step-by-step explanation:
two same side and there's a right angle
75% of the whole is 180. What's the whole?
.
Which of the following rules represents the function shown in the table?
A.) f( n) = 3 n
B.) f( n) = n + 3
C.) f( n) = 1/3n
Answer:
the answer is c !!! :)
Step-by-step explanation:
yeah, so period.
A 12-foot ladder leans against the wall makes an angle of 62.87 degrees with the ground. How high up the wall does the ladder reach?
Answer:
10.68 ft
Step-by-step explanation:
sin(62.87)=x/12
12sin(62.87)
=10.68 ft
What is the answer to the problem 4y + 3 - y - 2
Answer:
3y+1
Step-by-step explanation:
4y+3-y-2
3y+3-2
3y+1
Answer:
3+1
Step-by-step explanation:
Subtract the numbers
4+3−−2
4+1−
Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 1/2 gallons of punch. 1 gallon is equal to 4 quarts. She thinks each person will drink about 1 quart of punch. How many people will the 6 bowls of punch serve?
Answer:
60 people
Step-by-step explanation:
Bowls of Punch = 6
Each bowl holds 2 1/2 gallons of punch
6 bowls = 2 1/2 gallons × 6
= 5/2 × 6 gallons
= 30/2
= 15 gallons
6 bowls of Punch = 15 gallons of Punch
1 gallon = 4 quarts
15 gallons = 4 × 15 quarts
= 60 quarts
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
She thinks each person will drink about 1 quart of punch.
How many people will the 6 bowls of punch serve?
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
60 quarts of punch / 1 person
= 60 people
The 6 bowls of punch will serve 60 people
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can represent this function.
Answer:
(x^4) - 64x
Step-by-step explanation:
zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors
[tex]x^{1} *(x-4)^{3}[/tex] becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4
now to write this in standard form
[tex]x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x[/tex]
is -5.5645 repeating irrational
Answer:
This number is neither repeating or irrational.
Step-by-step explanation:
An irrational number is a number with a never-ending decimal that does NOT repeat. This number would be considered rational.
mary amd remesh share money into the ratio 11:3 of the difference between their share money is £80 how much did they share
Answer:
Step-by-step explanation:
110 pounds and 30 pounds, add that up and you get 140
Which method best helps to prevent wind erosion?
rotating crops
decreasing riverbank slopes
more animal grazing
avoiding soil compaction
Answer:
a
Step-by-step explanation:
Plz help me!!!!!!!!!
Answer:
Perimeter is sum of all side,
Step-by-step explanation:
=2X+7 + 6X-5 + 4X+1
=12X+3
BUT VALUE OF X IS NOT GIVEN IN QUESTION
Answer:
9
Step-by-step explanation:
since all the sides are equal, set two of the sides equal to each other. I did 2x+7 = 6x-5
6x-2x = 7+5
4x = 12
x = 3
Then you multiply 3 by 3 because it is an equilateral. And you get 9.
I not a 100 percent sure. Hope this helped.
4. Factor Completely *
(1 Point)
5x3 + 40x2 - 2x - 16
Answer:
(x+8)(5x2−2)
Step-by-step explanation:
Hope this helps have a nice day :)
hello i need help.....
What is the slope of the line?
y - 3 = 5(x-2)
Answer:
5
Step-by-step explanation:
To better see what the slope is (the coefficient of x), write it in slope-intercept form, y=mx+b. The slope-intercept form of [tex]y -3 = 5(x-2)[/tex] is [tex]y=5x-7[/tex]. The slope is the coefficient of x, which is 5.
Hope this helps! :)
Section 1 - Question 9
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Which statement BEST describes who is correct?
А
Frankie is correct because the 20 is 10 which is a rational number.
B
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates
С
Both students are correct because 20 is a rational number.
D
Neither student is correct because 20 is an irrational number
©2020 Illuminate Education,
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.
Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
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