Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68.
a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.
b.) Solve the inequality from part (a).
c.) Interpret (what does it mean) and graph the solution.
Answers
Answer:
68≥25+3x
x≥15
Step-by-step explanation:
the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.
to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15
this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions
hope this helped
a.) 25x + 3y ≥ 68
b.) x = 1, y = 43
c.) As x increases, y decreases
What is a linear inequality?A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.
Given,
Wage per week= $25
Subscription earning = $3
Let x and y be the number of weeks and number of subscriptions.
Therefore, 25x + 3y ≥ 68
Hence, 25x + 3y ≥ 68 is the required inequality.
Let x = 1
Therefore minimum value of y = 43.
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Related Questions
Find the difference: 3/10 - 1/6
Answers
Answer:
2/15
Step-by-step explanation:
10 = 2 * 5
6 = 2 * 3
LCM of 10 , 6 = 2 * 3 * 5 = 30
[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]
[tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]
• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.
Answers
Which of the following is a rational number? A.102 B.144 C.21 D.29
Answers
Answer:
I'm pretty sure they're all rational numbers since they're all whole numbers.
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answers
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.
Answers
Answer:
1. 15*15
2. 10*10
3. 3*3
Step-by-step explanation:
Answer:
Square the given value
Step-by-step explanation:
1. 15^2=225
10^2=100
3^2=9
A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.
Please help me, thanks!
Answers
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Simplify the followingexpression (-5)(-3)(4)
Answers
A negative times a negative equals a positive. This means that -5 x -3 = 15.
Then you multiply that by four and get 60.
Hope this helps and have a nice day!!
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answers
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answers
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answers
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
How many integers are between - 6,01 and 7.75?
13
14
15
16
Answers
Answer:
14 integers
Step-by-step explanation:
Given
[tex]Range: -6.01\ to\ 7.75[/tex]
Required
Determine the number of integers
Integers implies numbers without decimals; it could be positive or negative or 0.
So, within the range: the integers are:
[tex]-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6,7[/tex]
Notice that the above numbers are integers within the given range.
By counting them, we get the required number of integers.
[tex]Numbers = 14[/tex]
Hence, there are 14 integers
1. Here is a number line. Write the two missing numbers in the boxes.
0
2
Answers
Answer:
The box on the left is 0.4 and the box on the right is 1.8
2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?
Answers
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
Answers
270=2.25D
D= 120 stickers
Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i
Answers
Answer:
The distance between given points is: √20
Step-by-step explanation:
The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.
Given numbers are:
[tex]z_1 = 2-3i\\z_2 =4+i[/tex]
The difference will be calculated as:
[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]
The distance will be:
[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]
Hence,
The distance between given points is: √20
-2/3 x 3/4
Please help!
Answers
Answer:
-1/2
Step-by-step explanation:
Answer:
-9/8.
Step-by-step explanation:
-3/2 * 3/4
= -3*3 / 2*4
= -9/8.
A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?
Answers
Answer:
Step-by-step explanation:
138/8 = 17.25
A rancher has a square cow pen with side length x. He decides to change the shape
of the pen while still using the same amount of fencing materials. The equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
of the pen and its area (in square feet).
a. If 300 represents the area of the new cow pen, what do the expressions
(x + 10) and (x - 10) each represent?
b. Find x, the original side length (in feet) of the square pen. Show your reasoning.
Answers
Answer:
a) x+ 10 is the length of the ranch
x - 10 is the width of the ranch
b) 20 feet
Step-by-step explanation:
Area of the square ranch = L²
L is the side length of the ranch
If the equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
Then we can find x where;
x + 10 is the new length of the ranch
x - 10 is the new width of the ranch
Open the parenthesis
equation
(x + 10)(x - 10) = 300
x²²-10x + 10x - 100 = 300
x² - 100 = 300
x² = 300+100
x² = 400
x = √400
x = 20
Hence the original length of the square pen is 20 feet
The values (x + 10) and (x - 10) represents the length and width of the new pen.
The value of x, the original length of the pen is 20 cm
How to find the side of a square?The pen is a square. It was later reconstructed to form the following expression.
(x + 10)(x - 10) = 300
where
area = 300 feet squaredTherefore,
(x + 10)(x - 10) = 300
x² - 10x + 10x - 100 = 300
x² - 100 = 300
x² = 300 + 100
x² = 400
x = √400
x = 20 ft
Therefore, the original side length of the square pen is 20 ft.
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Greatest common factor for 3,27, and 33
Answers
Answer:
it's 3.
Step-by-step explanation:
Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.
Someone help me please
Express the cosine of < W as a ratio of the given side lengths.
Answers
PLS SOLVE!!!!! THANK YOU!!!!!
Answers
Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
Answers
Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answers
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answers
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
CHECK MY ANSWERS PLEASE!!
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answers
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU
what is 0.125 in a percent
Answers
helppppp please will give brainliest
Answers
Answer:
the value of y is 3 more than twice x
Step-by-step explanation:
we find the slope is 2 because 4/2=2
y=2x+b
we put in the first point (1,5)
5=2+b
b=3
y=2x+3
Answer:
i think its c
Step-by-step explanation:
because 4 times 1 is 4 and if u add 1 than u get 5 which is y
im not sure if this is right lmk
is 9pi > 27 a true inequality?
Answers
GIVING OUT BRAINLIEST TO FIRST ✅CORRECT✅ ANSWER
Answers
Answer:
1,-5 and -1,-3
Step-by-step explanation:
How do you find
the rate of change of a function?
Answers
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid