Final answer:
Mario can talk for up to 384 minutes on his $50 prepaid phone plan. We use the inequality 0.13m ≤ 50 and solve for m to find the maximum number of whole minutes Mario can use.
Explanation:
To solve this problem, we need to set up an inequality that represents the constraints of Mario's prepaid phone plan budget. The inequality will help us determine the maximum number of minutes Mario can talk on this plan.
Let's use m to represent the number of minutes Mario can talk. We know that each minute of talk time costs $0.13, and Mario's prepaid plan is $50. Our inequality should reflect the fact that the total cost of talking m minutes cannot exceed his budget of $50.
The inequality will look like this:
0.13m ≤ 50
To solve for m, we divide both sides of the inequality by 0.13:
m ≤ 50 / 0.13
When we calculate 50 divided by 0.13, we get approximately 384.6154. Since Mario cannot talk for a partial minute on his prepaid plan, we round this number down to the nearest whole minute, which is 384 minutes.
Therefore, Mario can talk for up to 384 minutes on his prepaid phone plan.
To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality: 0.13x <= 50. Solving this inequality, we find that Mario can talk for a maximum of 384 minutes.
Explanation:To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality based on the cost. Let x represent the number of minutes. The cost of the phone plan is $50, and each minute costs $0.13. So, the inequality is: 0.13x <= 50. To solve this inequality, we divide both sides by 0.13 to isolate x and find: x <= 50 / 0.13. Using long division or a calculator, we can find that x is approximately 384.61, but since we can't have a fraction of a minute, the maximum number of minutes Mario can talk on this plan is 384 minutes.
In buffalo, New York, the temperature was -14F in the morning. If the temperature dropped 7F, what is the temperature now?
The initial temperature in Buffalo was -14°F. After a drop of 7°F, the new temperature would be -21°F.
Explanation:The student asked: In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now? To solve this, we need to perform a simple subtraction operation. We begin with the initial temperature of -14°F and subtract the temperature drop of 7°F.
The calculation is as follows:
Initial temperature: -14°F
Temperature drop: -7°F
New temperature: -14°F - 7°F = -21°F
Therefore, after the temperature drop, the new temperature in Buffalo would be -21°F.
After the temperature in Buffalo dropped by 7°F from an initial -14°F, the current temperature is now -21°F.
Explanation:In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, to find the current temperature, you subtract 7 from -14. This calculation is as follows:
Starting temperature: -14°FTemperature drop: 7°FCurrent temperature: -14 - 7 = -21°FTherefore, the temperature now in Buffalo is -21°F.
Evaluate the expression.
3 x (6^12/6^10)
a) 36
b) 39
c) 92
d) 108
Simplify -4/7 + (-4/3)
A line has a slope of 1/2 and contains the points (3, y) and (5, 7). The value of y is
6 or 3
please explain why or how!
D: Region D help please .....
Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 800 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.
y = mx + b solve for m (literal equations)
Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
What is the y-value of P'?
Answer:
The answer is -10
Step-by-step explanation:
A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P
A pet-sitting company charges $25 to board a pet for one day. It also charges all customers an extra $7.50 to trim the pet's nails once per stay.
How much will it cost to board a dog for two weeks?
A.
$57.50
B.
$65.00
C.
$357.50
D.
$455.00
2 weeks = 14 days
14 * 25 = 350
350 + 7.50 = 357.50
Answer is C
How do I solve 8n= -3m + 1 ; n= -2, 2, 4
Find the value of tan θ given cot θ=5/7.
PLEASE HELP 20 POINTS
According to the Alternating Interior Angles theorem, which pair of angles is congruent?
∠SQU and ∠SRW
∠UQR and ∠WRT
∠VQR and ∠WRQ
∠TRZ and ∠TRW
According to the Alternating Interior Angles theorem, the pair of angles that are congruent are ∠TRZ and ∠TRW. Here option D is correct.
The Alternating Interior Angles theorem states that when a pair of parallel lines are intersected by a transversal, the alternating interior angles are congruent.
A - ∠SQU and ∠SRW: These angles are not alternate interior angles; they are on the same side of the transversal.
B - ∠UQR and ∠WRT: These angles are not alternate interior angles either; they are corresponding angles.
C - ∠VQR and ∠WRQ: These angles are alternate interior angles, but they are not congruent. They are supplementary, meaning their measures add up to 180 degrees.
D - ∠TRZ and ∠TRW: These angles are alternate interior angles and are congruent according to the Alternating Interior Angles theorem.
So, the correct answer is option D - ∠TRZ and ∠TRW.
Complete question:
According to the Alternating Interior Angles theorem, which pair of angles is congruent?
A - ∠SQU and ∠SRW
B - ∠UQR and ∠WRT
C - ∠VQR and ∠WRQ
D - ∠TRZ and ∠TRW
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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). There may be more than one possible decomposition.
y = (x^3 + 1)^2
an angle's measure is twice the measure of its complement. the larger angle is how many degrees greater than the smaller angle.
In the expression 12 + 7, the values on the right and left of the + symbol are called _____ .
In the expression 12 + 7, the values on the right and left of the + symbol are called operands.
What are operands?A mathematical object upon which an operator acts.
Given that, an expression 12+7,
In maths, the values that an operator acts on are called operands. In this case, 12+7 are the operands.
Hence, the asked statement is operands.
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The equation h(t)=−16t2+78t+45 gives the height of a firework, in feet, t seconds after it is launched from a platform. What is the height of the platform? Enter your answer in the box.
The height of the platform is 45 feet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation h(t)=−16t² +78t+45 gives the height of a firework
When a firework is launched from a platform, its height at time t=0 seconds is equal to the height of the platform.
To find the height of the platform, we can substitute t=0 into the equation:
h(0) = -16(0)² + 78(0) + 45
h(0) = 0 + 0 + 45
h(0) = 45
Therefore, the height of the platform is 45 feet.
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A machine manufactures wheels with a diameter of 70 cm. It is acceptable for the diameter of a wheel to be within 0.02 cm of this value. Write and solve an absolute-value equation to find the minimum and maximum acceptable diameters.
To find the minimum and maximum acceptable diameters for wheels manufactured by a machine with a 70 cm diameter tolerance set within 0.02 cm, an absolute-value equation is used to determine the range of acceptable values.
The question is: A machine manufactures wheels with a diameter of 70 cm, and it can be within 0.02 cm of this value. To find the minimum and maximum acceptable diameters, we need to set up an absolute-value equation.
Let x be the diameter of the wheel.The absolute-value equation is |x - 70| ≤ 0.02.Solving this equation, the minimum acceptable diameter is 69.98 cm, and the maximum acceptable diameter is 70.02 cm.Which functions are symmetric with respect to the y-axis? Check all that apply.
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| + 6
f(x) = |x – 6|
f(x) = |x + 3| – 6
Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]f(x)=|x-a|+b[/tex]
Where, (a,b) is the vertex of the function and x=a is axis of symmetry.
The function is symmetric with respect to the y-axis. It means the axis of symmetry is x=0. It is possible if the value of a in the vertex form is 0.
In option 1,
[tex]f(x)=|x|[/tex]
Here, a=0 and b=0.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 2,
[tex]f(x)=|x|+3[/tex]
Here, a=0 and b=3.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 3,
[tex]f(x)=|x+3|[/tex]
Here, a=-3 and b=0.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
In option 4,
[tex]f(x)=|x|+6[/tex]
Here, a=0 and b=6.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 5,
[tex]f(x)=|x-6|[/tex]
Here, a=6 and b=0.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
In option 6,
[tex]f(x)=|x+3|-6[/tex]
Here, a=-3 and b=-6.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
Hence the correct options are 1, 2 and 4.
24 divided by 2 find the qoutient
24/2 = 12
the quotient is 12
Answer: So your answer is 12 for 24 divided by 2 which gives you 12 I hope this helps
Step-by-step explanation:
24 divided by 2 = 12
12 times 2= 24
Or 2 times 12 = 24
Which statements are true regarding the diagram
Answer:
A. AngleGNH and AngleHNJ are complementary.
C.AngleKNL and AngleLNM are complementary.
D.mAngleHNK + mAngleKNL = 180°
Step-by-step explanation:
What is the probability of pulling out a green marble from a jar containing 5 red, 6 green, and 4 blue?
A basketball player scored 29 points in a game. The number of three-point field goals the player made was 29 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 15 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.
A-10 free throws; 1 two-point field goals; 8 three-point field goals
B-11 free throws; 8 two-point field goals; 4 three-point field goals
C-10 free throws; 9 two-point field goals; 3 three-point field goals
D-10 free throws; 8 two-point field goals; 1 three-point field goals
Answer:
,
Step-by-step explanation:
The answer is D)
Write an equation of the line that has a slope of -7 and y-intercept 6 in slope-intercept form.
The sum of two even numbers is even. the sum of 6 and another number is even. what conjecture can you make about the other number?
Answer: We can say that the other number is even since the sum of two even numbers is even.
The required conjecture is given as the other number must be an even number.
What is an even number?An even number is defined as a number that is a multiple of 2 is called even number, such as 2, 4, 6, 12, and so on.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
The sum of two even numbers is even. Following the statement,
If the sum of 6 and another number is even, that another number must be even to get the sum of 6 and another number to be even, while 6 it self is an even number.
Thus, the required conjecture is given as the other number must be an even number.
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Point M is the midpoint of LN. LM = 7x - 12 and MN = 3x + 16. Find LM.
The cylindrical jar above has a height of 12 centimeters and a radius of 4 centimeters. The jar contains 20 spherical marbles. Each marble has a radius of 0.8 centimeters. Which of the following represents the amount of space in the jar that is not occupied by marbles?
The volume of the cylindrical jar, the total volume of marbles, and then find the volume not occupied by the marbles.
The volume of the jar:
Volume of the cylindrical jar = πr²h = 3.142 × (4 cm)² × 12 cm = 603.168 cm³
The total volume of the marbles:
Total volume of 20 marbles = 20 × (4/3)π(0.8 cm)³ = 214.717 cm³
The volume not occupied by marbles:
Volume not occupied = Volume of the jar - Total volume of marbles = 603.168 cm³ - 214.717 cm³ = 388.451 cm³
What is the product of (3√8)(4√3)? Simplify your answer
what is the expression 13b−13 factored?
Math Help Please!!!
On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. The histogram shows the results. How many fans plan on attending fewer than 20 games?
Answer: 25
Step-by-step explanation:
Given : On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season.
In the given histogram , it can be seen that the number of fans attending fewer than 10 = 8
And the number of fans attending between 10-20=17
Then, the number of fans attending fewer than 20 games =[tex]8+17=25[/tex]
Therefore, 25 fans plan on attending fewer than 20 games