Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?
Final answer:
To determine the number of songs Jose can purchase using his gift card, the inequality 1.19x ≤ 10 is solved, resulting in x ≤ 8.4, meaning Jose can purchase a maximum of 8 songs.
Explanation:
Jose's gift card scenario:
Let's denote the number of songs he can purchase as x.
The inequality to represent this situation is: 1.19x ≤ 10 (the total cost of the songs cannot exceed the value of the gift card).
Solving for x, we get x ≤ 8.4. Since he can't purchase a fraction of a song, Jose can purchase a maximum of 8 songs using the gift card.
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In a zoo there are 17 more monkeys than lions and 30 more lizards than lions. If there were 151 monkeys, lions and lizards in total, how many of each kind are there?
What point is the image of (3,4) if it is reflected over the y axis?A. (-3,-4)B. (3,-4)C. (-3,4)D. (3,4)
If point is the image of (3,4) if it is reflected over the y axis, then the resulting point is (-3,4) (option c)
When a point is reflected over the y-axis, its x-coordinate changes sign while the y-coordinate remains the same. In other words, if we have a point (x, y), its image after reflection over the y-axis will be (-x, y).
Let's apply this rule to the given point (3, 4). When we reflect it over the y-axis, the x-coordinate changes sign, but the y-coordinate remains the same. Therefore, the image of (3, 4) after reflection over the y-axis will be (-3, 4).
So, the correct Answer: C. (-3, 4)
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A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles. 72 gallons of gas 18 gallons of gas 23 gallons of gas 67 gallons of gas
simple first we find the miles per gallon
so 300/15=20 therefor he would only need a extra 3 gallons to go 360 miles so your answer is
B.18
The equation of a line is −2x+5y=−20.
What is the x-intercept of the line?
The required solution of the equation of a line is −2x+5y=−20 is x = 10.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation of a line is
−2x+5y=−20.
According to given question we have
BY the use of x- intercept put y=0 we get
-2x + 5y = -20
-2x + 5(0) = -20
-2x = -20
x = -20/-2
x = 10.
Therefore, the required solution of the equation of a line is −2x+5y=−20 is x = 10.
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Solve this Multi-Step Equation
-3(t + 5) + (4t + 2) = 8
Does anyone know this??
The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is
A {−1, 1, 3}
B {−1, −1, 1, 3}
C {−4, −2, 2, 2}
D {−4, −2, 2}
Where do the graphs of y = 3x and y= 3x + 4 intersect the y -axis and what is the relationship between the two lines?
I didn't get this one question right on a test. Could someone tell me what I did wrong? Plz and ty
A local hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on Tuesday. There were 55 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?
To solve for the number of hamburgers sold, two equations were setup: H + C = 445 and C = H - 55. Substituting the second equation into the first and solving for H results in finding that 250 hamburgers were sold on Tuesday.
The question asks us to find out how many hamburgers were sold on Tuesday given that a total of 445 hamburgers and cheeseburgers were sold, and there were 55 fewer cheeseburgers than hamburgers. Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We have two equations here: H + C = 445 and C = H - 55. Plugging in the second equation into the first, we get H + (H - 55) = 445, which simplifies to 2H - 55 = 445. Adding 55 to both sides gives us 2H = 500, and dividing both sides by 2 gives us H = 250. Therefore, on Tuesday, the hamburger shop sold 250 hamburgers.
Sharon writes this sentence:
Seven less than two times a number is 29.
Enter the equation that represents Sharon's sentence into the box.
Use x for the variable.
Answer:
your answer would be 2x-7+29
Find the dimensions of the rectangle with largest area that can be inscribed in an equilateral triangle with sides of 1 unit, if one side of the rectangle is on the base of the equilateral triangle.
The length of a quarter is 0.955 inch.Round the length of a quarter to the nearest tenth of an inch
0.955 rounded to the nearest tenth would be 1.0
Which ordered pairs are on the line with the equation y+3.5=0.75(x-2)? I will mark brainliest. Thanks!
come back and mark him brainliest
-lemons 2021
Suppose there are n students in a class what is the probability at least two students have same birthday
You know that you can ride your bike 8 miles in 20 minutes. At the same pace, how many miles would you go in 2 hours?
The function graphed represents the amount of water in a container, in gallons, x minutes after a drain is opened.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
Let
x-------> the time in minutes
y-----> the function that represent the amount of water in gallons
Step 1
Find the x-intercept
we know that
The x-intercept is the value of x when the value of the function is equal to zero
In this problem (see the graph)
For [tex]y=0[/tex]
the value of x is [tex]15\ min[/tex]
so
the x-intercept is the point [tex](15,0)[/tex]
that means
The number of minutes it takes for the container to empty is [tex]15\ min[/tex]
Step 2
Find the y-intercept
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
In this problem (see the graph)
For [tex]x=0[/tex]
the value of the function y is [tex]120\ gal[/tex]
so
the y-intercept is the point [tex](0,120)[/tex]
that means
The number of gallons in the container before the drain is open is [tex]120\ gal[/tex]
therefore
the answer in the attached figure
What is f(-3) if f(x) =|2x-1|-5
The value of a function is gotten from the input variable
The value of f(-3) is 2.
We have:
[tex]f(x) = |2x - 1| -5[/tex]
Substitute -3 for x
[tex]f(-3) = |2 \times -3 - 1| -5[/tex]
Multiply 2 and -3
[tex]f(-3) = |-6 - 1| -5[/tex]
[tex]f(-3) = |-7| -5[/tex]
Remove absolute bracket
[tex]f(-3) = 7 -5[/tex]
[tex]f(-3) = 2[/tex]
Hence, the value of f(-3) is 2.
See attachment for the graph of [tex]f(x) = |2x - 1| -5[/tex]
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After the z value is calculated, the ____________ is obtained from a table of z-scores.
After the z value is calculated, the probability is obtained by using the corresponding area under the normal curve from the z-table. The z-table shows the area to the left of the calculated z-score and can be used to determine probabilities and critical values for the standard normal distribution.
Explanation:After the z value is calculated, the probability is obtained from a table of z-scores. The z-table is used to find the area under the normal curve, which represents the probability associated with a z-score. When looking up a z-score in the z-table, you will see the area under the normal curve to the left of the z-score which corresponds to the probability of obtaining a score within that range. The z-table provides critical values for the standardized normal distribution which has a mean of 0 and a standard deviation of 1. To calculate the area between two z-scores, subtract the smaller area from the larger area.
For example, if we need to find the z-score that corresponds to an area of 0.9, we would look up this value in the z-table to discover that the z-score is approximately 1.28. This z-score then can be used with the mean and standard deviation of the distribution to find the original score using the formula μ + (z)(σ) = x. It's important to note that while most z-tables show the area to the left, some may provide the area from the mean to the z-score, so the method used will be indicated on the table itself.
Y’all I am struggling. Help me out please I’ll give 15 points! #7
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ? Enter your answer in the box. Do not round any side lengths.
The bakers Healthy Bakery make 250 bagels in 10 hours. How many bagels can they bake in 12 hours? What was that rate per hour?
250/10 = 25 bagels per hour
25*12 = 300 bagels in 12 hours
If Adela has 12.4 L of diesel and Madison has 840 cL of diesel, how much does the pair have altogether?
The total volume of diesel that the pair have altogether is equal to 20.8 L.
What is measurement?Measurement is a process through which the size, magnitude, volume or other physical quantities that are associated with an object or chemical substance are taken, especially for the purpose of a scientific research (experiment).
In order to determine the total volume of diesel that they have, we would convert the value in centiliter (cL) to liter (L) and then add them together as follows:
840 cL to L = 840/100 = 8.4 L.
Total = 8.4 + 12.4
Total = 20.8 L.
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Marie worked 2 weeks during her college semester break. She earned $280 the first week and $245 the second week. If 1/2 oh her total earnings went to taxes and 1/4 went to college tuition,how much money dI'd she have left?
3x - 4y = 7 , for x
15y + 1 = x , for y
Twice a number minus a second number is -1. twice the second number added to three times the first number is 9. find the two numbers
A store offers customers two ways to pay for a new TV. Option 11: Pay $1,500$1,500 today. Option 22: Pay nothing today, and take out a simple interest loan to pay a total of $1,650$1,650 one year from now. What is the simple interest rate on the loan in option 22?
Calculat the length of the circumference of a circle with diameter of 8cm.
Use [tex] \pi [/tex] = 3
I have a bag of trail mix. half of the bag contains peanuts, 1/4 of the bag is chocolate candies, and 1/4 of the bag is dried fruit. what is the probability that i will select a peanut?