You have already saved $55. You earn $9 per hour at your job. You are
saving for a bicycle that costs $199. What inequality represents the possible
numbers of hours you need to work to buy the bicycle?
Answers
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
144 divided by 9 is 16
16 Hours is your answer
Related Questions
The triangle with lines through it designates a no parking zone. What is the value of x?
2x
45°
+o
GO
Answers
Answer:
45°
Step-by-step explanation:
A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
All the three angles in a triangle add up to 180°.
From the question:
x + 2x + 45 = 180° (sum of angles in a triangle)
Adding alike terms:
3x + 45 = 180
Subtract 45 from both sides:
3x + 45 - 45 = 180 - 45
3x = 135
Divide both sides of the equation by 3 to find x:
3x / 3 = 135 / 3
x = 45°
Therefore:
The value of x is 45°
The local gym wants to expand the entire building by doubling the size. Find the perimeter of the entire rectangle
Answers
Answer:
the perimeter is 50x
Step-by-step explanation:
3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?
15
25
16
20
Answers
Answer:
25
Step-by-step explanation:
15=Girls
10=Boys
25 =The total of the number of students
Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.
Answers
Answer:
They'll be on page 72
Step-by-step explanation:
Kaylee:
Current page = 24
Page per day = 16
Page, K, Kaylee is on at end of t days
K = current page + (page per day * Number of days)
K = 24 + 16t
Josiah:
Current page = 50
Page per day = 14
Page, J, Josiah is in at the end of t days
J = current page + (page per day * Number of days)
J = 50 + 14t
To be on the same page ;
K = J
24 + 16t = 50 + 14t
24 - 50 = 14t - 16t
- 26 = - 2t
t = 13
After 13 days, they'll be on same page :
K = 24 + 16(13)
K = 24 + 48
K =72
They'll be on page 72
Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2
Answers
Answer:
Yes
Step-by-step explanation:
3(x+5.50)-3
3x+16.50)-3
-3(3x+16.50)
Can I get some help on this math problem
Answers
Answer:
[tex]x=3\sqrt{5}[/tex]
Step-by-step explanation:
Right Triangles
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:
[tex]c^2=a^2+b^2[/tex]
We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:
[tex]x^2=3^2+6^2=9+36=45[/tex]
[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]
[tex]\boxed{x=3\sqrt{5}}[/tex]
How do I find the correct Domain.
Answers
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
hope this helps a little
Solve the Equation.
91 = A - 45
Answers
Flip the equation
A-45=91
Rearrange the equation and add 45 to both sides
A-45+45= 91+45
A=91+45
A= 136
If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
equivalent form of f(x) + g(x)?
O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1
Answers
The equivalent form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is
4x² + 8x + 4, so option C is correct.
What is a function?In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given:
f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²
Calculate the equivalent form as shown below,
f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²
Simplify the above equation,
f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)
f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3
f(x) + g(x) = 4x² + 8x + 4
To know more about function:
https://brainly.com/question/5975436
#SPJ2
A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?
Answers
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.
tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .
Answers
Answer:
[tex]Salary = \$5670[/tex]
Step-by-step explanation:
Given
[tex]Items = \$27000[/tex]
[tex]Rate = 21\%[/tex]
Required
Determine her salary
Her salary is calculated as:
[tex]Salary = Rate * Items[/tex]
This gives:
[tex]Salary = 21\% * \$27000[/tex]
Convert % to decimal
[tex]Salary = 0.21 * \$27000[/tex]
[tex]Salary = \$5670[/tex]
Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.
Answers
Answer:
C
Step-by-step explanation:
Answer: C. $6.00 monthly fee and $1.25 per video game
Step-by-step explanation:
I did the test
Find the perimeter of the following shape:
Answers
Answer:
itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.
Step-by-step explanation:
Order these numbers from least to greatest.
3.027, 3.2742, 3.27, 3.3
Answers
Answer:
3.027, 3.27, 3.2742, 3.3
Step-by-step explanation:
Hi! When we have these types of problems we always look at the first number. Is it less than the others? Since they are all 3, we have to look at the decimal place. 0 is less than 2 and 3, so we put 3.027 first. Since the others have 3.27 as the first point, we look at the one with the most decimal placements after 3.27 (3.2742) as being greater than 3.27. 3.27 goes before 3.2742. 3.3 is greater than all of them, so it goes last.
Answer:
3.027, 3.27, 3.2742, 3.3
Step-by-step explanation:
First list the numbers:
3.027
3.2742
3.27
3.3
Add the zero to the numbers without 4 decimal places so that they are equal.
Now you have:
3.0270
3.2742
3.2700
3.3000
Look at the number with the lowest number on the first decimal place, which is 3.0270. This becomes the lowest number. Then move on to the next decimal place. 3.2700 and 3.2742 both have the same digits on the first two decimal places. Look at the third decimal place between the two and you can see that 0 (on 3.2700) is lower than 4 (on 3.2742).
So now we have:
3.0270, 3.2700.
Then looking at the last two you have 3.2742 and 3.3000. In this case it's clear that 3.2742 is smaller so we put it as the third.
The order is as follows:
3.0270 (3.027)
3.2700 (3.27)
3.2742 (3.2742)
3.3000 (3.3)
What is the range? The range is __
Answers
Answer:
8
Step-by-step explanation:
Take the biggest value and smallest value, and subtract the smallest value from the biggest value:
9-1=8
The range is 8
The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,
9 - 1, and your answer is 8
Complete the following statements.
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains fluid ounces of liquid.
The soda bottle contains gallons of liquid.
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains quarts of milk.
The milk jug contains liters of milk.
Answers
Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8
mangoen and 7 oranges. How much did she pay in all for the Items?
working
Answers
Answer:
hi hahahah
Step-by-step explanation:
Mangoes: $4 / 5 = .8$
Oranges: $10.5 / 3 = $3.5
Now multiple the individual cost by the amount of each item that was bought
Mangoes: 8 x .8 = $6.4
Oranges: 7 x 3.5 = $24.5
Total cost = $30.90
can anyone help me with this please marking brainly :)
Answers
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
Write the equation of the line passing through the points (-4,7) and (-7,4)
Answers
Answer:
y=x+11
Step-by-step explanation:
To find the equation I subtract 4-7 and -7-(-4). I receive the answer of -3/-3.
-3/-3 simplifies 3/3 which is equal to 1.
So the equation is 1? I think this is the correct answer
(-7. + 3 + x) - (=6 - 7.3 + 2.)
Answers
Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answers
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT
Answers
Answer:
$8.50
Step-by-step explanation:
First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.
At Emmy's Swimwear, there are 28 bikini styles and 42 other types of swimsuit. What percentage of the swimsuit styles are bikinis?
Answers
Answer:
Approximately 66.66% of swimsuit styles are bikinis.
Step-by-step explanation:
Given
Bikini styles Swimwear = 28Other types of Swimsuit = 42Let 'x' be the percentage of the swimsuit styles are bikinis.
so
x% of 42 = 28
[tex]\frac{x}{100}\times \:42=28[/tex]
[tex]42x = 100 \times 28[/tex]
[tex]42x = 2800[/tex]
divide both sides by 42
[tex]\frac{42x}{42}=\frac{2800}{42}[/tex]
simplify
[tex]\:\:x\:\approx \:66.66\:\%[/tex]
Therefore, Approximately 66.66% of swimsuit styles are bikinis.
Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent
Answers
Answer:
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).
Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.
Hence:
m∠1 + m∠2 = 180°
m∠2 + m∠3 = 180°
Using substitution property:
m∠1 + m∠2 = m∠2 + m∠3
subtracting m∠2 from both sides:
m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2
m∠1 = m∠3
∠1 and ∠2 are congruent
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Rotate 90° counterclockwise about the origin.
M (3.2), N'(5,5), P'(4,5), Q'(2, 2)
M"1-2.3). N'(-5,5), P'(-5.4), (-2,2)
M(-2,-3). N'(-5.-5), P'(-5.-4). Q'-2,-2)
M*2.3). N'(5,5), P75,4), Q (2.2)
Answers
Answer:
it should be the second one
(1, 1), (–1,5)
find slope
Answers
Answer:
slope = 0MARK ME AS A BRAINLIST AND FOLLOW MEWhat is a solution to the equation 6t = 114?
A t = 19
B t = 108
C t = 120
D t = 684
Answers
Answer:
A t=19
Step-by-step explanation:
6t=114
t=114/6
t=19
Answer:
t=19
Step-by-step explanation:
find the value of x
Answers
HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!
Answers
Answer:
Point d
Step-by-step explanation:
because the x is -2 and the y is 3 so you look for the x and then the y
Which value of the variable is a solution of the inequality t > -5
Answers
Answer:
-4 and any number above.