For Jack's birthday, his mom is taking him and 12 friends to the zoo. If she pays $11 for each ticket using her credit card, what impact will it have on the available credit left on her credit card?

Answers

Answer 1

The impact on Jack's mom's available credit after purchasing zoo tickets for Jack and 12 friends at $11 each will be a reduction of $143.

When Jack's mom pays $11 for each zoo ticket for him and his 12 friends, she will be purchasing a total of 13 tickets (one for Jack plus 12 for his friends). To calculate the total cost, multiply the number of tickets by the price per ticket:

Number of tickets: 13 (Jack + 12 friends)Price per ticket: $11Total cost: 13 tickets × $11 per ticket = $143

The total impact on her credit card's available credit will be a reduction of $143. If she had some available credit limit before this purchase, we just subtract this amount from her available credit to determine the new available credit.

Related Questions

A bag contains 12 red marbles and 6 blue marbles. two marbles are drawn with replacement. find the probability.

Answers

248376203488451-5814-0395681-03581-403951-0958904680968590147514095714095714-5714578140587109p54

If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long until it hits the ground?

Answers

The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s

Rearrange the formula m =
x + y / 2
for y.
A) y = 2mx
B) y = 2m - x
C) y = x - 2m
D) y = 2m + x

Answers

we have that
m = (x + y) / 2
x+y=2*m
y=2*m-x

the answer is the option
B) y = 2m - x

correct answer is
y=2m-x

cross multiply then subtract x

hope this helps love

PLEASE HELP!
A circle is centered at (11, −9) and has a radius of 12.

What is the equation of the circle?

Enter the equation in the box using lower case variables x and y.

Answers

Answer:
(x-11)² + (y+9)² = 144

Explanation:
The general form of the equation of the circle is:
(x-h)² + (y-k)² = r²
where:
h is the x-coordinate of the center
k is the y-coordinate of the center
r is the radius of the circle

In the given, we have:
x-coordinate of the center = h = 11
y-coordinate of the center = k = -9
radius of circle = r = 12

Substitute with the givens in the above formula to get the equation as follows:
(x - (11))² + (y - (-9))² = (12)²
(x-11)² + (y+9)² = 144

Hope this helps :)

Find area of trapezoid using the Pythagorean theorem

Answers

You should either divide or add

This is a multistep problem. So, let's split it up.

Finding the height:
We need to look at the equation for find the diagonal of a triangle.
a²+b²=c²
We don't have leg one, but we have leg two. If we subtract the longer base by the shorter base, we have leg two.
11-7=4
a²+4²=5²
a²+16=25; let's subtract 16 from both sides.
a²=9
a=3

So, the height is 3.

Finding the area of the trapzoid:
Let's look at the formula for finding the area.
(b1+b2)(h÷2)=A; let's fill the variables in.
(7+11)(3÷2)=A
(18)(1.5)=A
27=A

So, the area of the trapezoid is 27 in²

A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.

a. 0
b. 1/5
c. 4/5

Answers

Number of choices per question = 5
Number of wrong answers = 4
P(wrong answer) = 4/5

Answer: 4/5

The value of the probability that the student will not guess correctly on any one question is,

⇒ 4 / 5

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.

Now, Suppose a student guesses the answer to each question.

Hence, we get;

The value of the probability that the student will not guess correctly on any one question is,

⇒ 4 / 5

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Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation?

Answers

Let x represent the number of miles he drives

Base rate: 40 - (40 · 0.25) plus mileage: 0.15 · x
Total cost = 30 + 0.15x

5. A high school has 16 math teachers for 1856 math students. What is the ratio of math teachers to math students?

Answers

The answer is 16:1856

The ratios are calculated to know the quotient of two quantities. In order to find the ratio, the first quantity is written in numerator i.e. the upper part of the fraction and the second quantity is written in denominator i.e. the lower part of the fraction.

Here, it is given that the total number of Maths teachers are = 16

Total number of Maths students are = 1856

The ratio of Maths teachers to Maths students is calulated as -

Ratio of Maths teachers to Maths students = [tex] \frac{Maths Teachers}{Maths Students} [/tex] = [tex] \frac{16}{1856} [/tex]

Ratio of Maths teachers to Maths students = [tex] \frac{1}{116} [/tex] = 1:116

A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wall does the ladder reach?

Answers

Use the Pythagorean Theorem:
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
b² = 56.25
b = 7.5

The ladder reaches a height of 7.5 ft on the wall

Kym spends an average of $78 per week on groceries. She can save 10% of her total grocery bill by joining the store's free shopper's club.About how much money will Kym save in a year (52 weeks) if she joins the shopper's club

Answers

Total amount Kym can save in 52 weeks will be given by:
(amount saved per week)×(number of weeks)
amount saved per week:
10/100×78
=$7.8
The total amount saved for 52 weeks will be:
52×7.8
=405.6

The sum of the square of a positive number and the square of 44 more than the number is 250250. what is the number?

Answers

let p positive number:

p²+44²>250250

p²>250250-44²

p²>248314

take the square root of both sides:

√p²>+√248314

p> 498.3 or 500 is the number

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify by using radical. Rationalize denominators. 2a^-1\2

Answers

2a^-1/2 = 2/ a^1/2= 2/SR of a= 2 SR of a/a

SR equals the square root sign

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT

Answers

Answer:

Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.

Answer : 50° and 130°

Final answer:

To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.

Explanation:

The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':

6n − 70 = 2n + 10

Solving for 'n', we get:

4n = 80

n = 20

Now, we'll plug the value of 'n' back into the expressions to get the angle measures:

6n − 70 = 6(20) − 70 = 120 − 70 = 50°

2n + 10 = 2(20) + 10 = 40 + 10 = 50°

Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.

Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 180 pounds. How much did each fish weigh?

Answers

[tex]11 + 1 = 12 \\ 180 \div 12 = 15 \\ 15 \times 1 = 15 \\ 15 \times 11 = 165[/tex]
Tarpon=165
Permit=15

The weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Assume that the weight of the permit fish is x pounds.

Then the weight of the tarpon would be 11x pounds.

According to the question, we can write equation as -

x + 11x = 180

12x = 180

x = 15

Weight of permit fish = 15 pounds

Weight of tarpon = 11 x 15 = 165 pounds

Therefore, the weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds.

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What’s the quadratic expression for this one

Answers

We have the following expression:
(2x + 5) * (7-4x)
Rewriting we have:
14x - 8x ^ 2 + 35 - 20x
Grouping terms with the same exponent:
-8x ^ 2 + x (14-20) + 35
Rewriting:
-8x ^ 2 - 6x + 35
Answer:
the quadratic expression for this is:
-8x ^ 2 - 6x + 35

What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?

Answers

The solution to the equation 2 + 3x = 7 is x = 5/3. When rounded to the nearest ten-thousandth, the answer is 1.6667.

To find the solution to the equation 2 + 3x = 7, you first isolate the variable x by subtracting 2 from both sides of the equation.

This gives you 3x = 5.

Next, you divide both sides of the equation by 3 to solve for x, which yields x = 5/3.

When you divide 5 by 3 using a calculator, you get 1.66666666...

Since we need to round our answer to the nearest ten-thousandth, this becomes 1.6667.

Therefore, the solution to the equation 2 + 3x = 7, rounded to the nearest ten-thousandth, is 1.6667.

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
y = 3x + 6
y = 3x − 6
y = −6x − 3
y = −6x + 3

Answers

Y = 3x - 6, slope is the last number in the equation.

Answer:

y=-6x+3

Step-by-step explanation:

Using the formula,

[tex](y-y_{1})=m(x-x_{1})\\(y-3)=(-6)(x-0)\\y-3=-6x\\y=-6x+3[/tex]

If i = sqrt -1 what is the value of i3

A. -1
B. i
C. 1
D. -i

Answers

i^3 = i * i * i = i^2 * i = -1 * i = -i Answer

Its D

Answer:

The value of i3 is equal to D. -i

Step-by-step explanation:

We can find the answer by taking the definition of i :

i = sqrt(-1) (1)

i ^2 = (sqrt(-1)) ^2 = -1 (2) because square root and squaring are inverse operations

so from (2)

i ^3= i ^2* i = -1*i = -i

So -i is the final answer or – (sqrt(-1)) which is the same

In the year 2000, there were 200,000 cell phone subscribers in a city in New York. The number of subscribers increased by 60 percent per year after 2000. Which equation can be used to model the number of subscribers, y, in the city t years after 2000?
A) y=200,000(1+60)t
B) y=200,000(1+0.6)t
C) y=200,000(1-60)t
D) y=200,000(1-0.6)t

Answers

The first step is to calculate the percentage increase for each year.
If the subscribers increase by 60%, it means that the subscribers will be (100+60)% of the previous year.

(100+60)% = (100/100 + 60/100)
(1 + 0.6)

After 2,000, the subscribers will be 200,000×(1+0.6).
For the following years the 200,000×(1+0.6)t

So, the value of y will be given by,

Y=200,000(1+0.6)t

Answer: The answer is B

Step-by-step explanation:

20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.

2. Construct the circle that circumscribes triangle DEF . Use a straightedge and a compass.
(show work by step)

Answers

1. To solve this we are going to use the formula for the area of a sector of a circle: [tex]A= \frac{1}{2} r^2 \alpha [/tex]
where
[tex]A[/tex] is the area of the sector
[tex]r[/tex] is the radius of the circle
[tex] \alpha [/tex] is the angle in radians

We know from our problem that the radius of the circle is 5 cm and the angle of the sector is [tex] \frac{ \pi }{4} [/tex], so [tex]r=[/tex] and [tex] \alpha = \frac{ \pi }{4} [/tex]. Lets replace those values in our formula:
[tex]A= \frac{1}{2} r^2 \alpha [/tex]
[tex]A= \frac{1}{2} (5)^2( \frac{ \pi }{4} )[/tex]
[tex]A= \frac{25 \pi }{8} [/tex]
[tex]A=9.8[/tex]

We can conclude that the area of sector GHJ in terms of pi is [tex] \frac{25 \pi }{8}[/tex] [tex]cm^2[/tex], and as a decimal rounded to the nearest tenth is 9.8 [tex]cm^2[/tex].

2. To construct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.

x/3+6=9
what does x equal
x=___?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

x/3 +6 = 9 . . . . . given

x/3 = 3 . . . . . . . subtract 6 from both sides

x = 9 . . . . . . . multiply both sides by 3

Now we have to,

find the required value of x.

→ x/3 + 6 = 9

→ x/3 = 9 - 6

→ x/3 = 3

→ x = 3 × 3

→ [x = 9]

Hence, 9 is the value of x.

What is the length of XPY in terms of pi?

Answers

circumference = 2 x PI x r

= 2 x 3.14 x 30 = 60 PI
the area from x to y = 90 degrees
so XPY would be 360 - 90 = 270 degrees or 3/4 of a full circle

so XPY = 60 x 3/4 = 45 PI meters

The length of arc XPY in the given circle with a radius 30m is in terms of pi is 45π.

It is given that

The radius r of the circle = 30m

Central angle α intended by arc XPY = 360-90 = 270°

α in radians = 270*π/180

α in radians = 3π/2

What is the formula for arc length?

Arc length is the product of the central angle α and radius r of the given circle.

So, length of arc XPY:

l= r*α(in radians)

l =30* 3π/2

l = 45π

Therefore, the length of arc XPY in terms of pi is 45π.

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write the expression in complete factored form, 4c(y+3)+(y+3)

Answers

4c(y+3)+(y+3)
=(y+3)(4c + 1)

answer
(y+3)(4c + 1)

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)? A) 6 B) 12 C) 23 D) 25

Answers

When doing this on a graph, you can just continue to plot the points until you reach the x-value of the point (x, 24). But there's an easier way to do that.

List what you know about the problem so far:

1 min = 2 gal

So, now that we know that, we can list what we need to solve:

x min = 24 gal

Now, you can simply divide 24 by 2 to get the number of minutes it would take to fill up 24 gallons.

24 ÷ 2 = 12

So,

x = 12

So,

12 min = 24 gallons

It would take 12 minutes to fill the 24 gallon holding pool. Which mean the coordinate point would be (12, 24).

Your answer should be B ) 12

The unit rate is gallons per minute, which in this case is 2 gallons per minute. Therefore it will take 12 minutes to fill up a 24 gallon pool.

A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly two correct answers?

Answers

Found a similar question online. Is the attached picture the same one as yours? Are these the choices also?
a. 5%
b. 65%
c. 45%
d. 25%

The answer is Letter D - 25%. Use the table and count the number of guesses that has two correct answers represented by 1. 01010, 10001, 11000, 01001, 00011 = a total of 5 numbers having 2 correct guesses out of 20 questions. Which means that there's twenty-five percent possibility of correctly guessing the answer out of 20 questions. 5/20 = 25%

Probability of correctly guessing at random exactly two correct answers is; 25%

How to find the experimental probability?

The table is missing but from the table shared by the first answer, we can count the number of guesses that has two correct answers.

Now, the ones that have two number of 1's are referred to as correct answers. Thus, counting them in the question, they are;01010, 10001, 11000, 01001, 00011.

Thus, there are 5 posssible correct answers out of 20. Thus;

Probability of correctly guessing at random exactly two correct answers is; 5/20 = 25%

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a speed camera takes two photographs of a car

Answers

Hello!

First you have to count how many tallies the car went 9 tallies

Multiply the amount of tallies by how far they represent

9 * 0.8 = 7.2 meters

The car when 7.2 meters in half a second so we double this to get how fast it was going a second

7.2 * 2 = 14.4

The answer is 14.4 m/s

Hope this helps!

Answer:The answer is 14.4 m/s

Step-by-step explanation:

Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. one weekend, she worked a total of 18 hours and made $139. how many hours did she spend baby-sitting?

Answers

Let the number of hours she spent in baby- sitting is x

and the number of hours she spent in music lessons is y.

Now, we have been given that she worked a total of 18 hours. Hence, we have

[tex]x+y=18\\ y=18-x...............................(1)[/tex]

And she made $139. Thus, we have

[tex]5x+12y=139..............................(2)[/tex]

Substituting the value of y from equation 1 in 2, we get

[tex]5x+12(18-x)=139\\ 5x+216-12x=139\\ -7x=-77\\ x=11[/tex]

Therefore, she spent 11 hours in baby-sitting.

Final answer:

Karen spent 11 hours baby-sitting and 7 hours giving music lessons.

Explanation:

Let x be the number of hours spent baby-sitting, and let y be the number of hours spent giving music lessons.

We are given the following information:

Karen makes $5 per hour baby-sitting, so she earned 5x dollars from baby-sitting.
Karen makes $12 per hour giving music lessons, so she earned 12y dollars from giving music lessons.
She worked a total of 18 hours, so x + y = 18.
She made a total of $139, so 5x + 12y = 139.

We can now set up a system of equations:

x + y = 18
5x + 12y = 139

To solve this system, we can use substitution or elimination method. Let's use the elimination method:

Multiply the first equation by 5 to make the coefficients of x the same: 5x + 5y = 90.
Subtract this new equation from the second equation: (5x + 12y) - (5x + 5y) = 139 - 90.
Simplify both sides of the equation: 7y = 49.
Divide both sides of the equation by 7: y = 7.
Substitute y = 7 into the first equation: x + 7 = 18.
Solve for x: x = 11.

Therefore, Karen spent 11 hours baby-sitting and 7 hours giving music lessons.

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A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??

Answers

we know that
scale =measure in the map/measure in the actual
measure in the actual=measure in the map/scale
scale=1 cm/ 80 mi
for
measure in the map=7.5 cm
measure in the actual=?
measure in the actual=7.5 /(1/80)-----> 7.5*80-----> 600 mi

the answer is
the actual distance between the two cities is 600 miles

Please give an explanation with you answer, thank you :)

Answers

[tex]f(x)=2( \sqrt[3]{27})^{2x} [/tex]

Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.

So,

[tex]Base= \sqrt[3]{27} \\ \\ Base= \sqrt[3]{3^{3} } \\ \\ Base=3 [/tex]

Thus, the simplified base for the function is 3. So correct answer is option B

A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the amount sold in the first two days. How many vegetables was the store selling every day if it sold altogether 98 tons of vegetables for the three days?

Answers

let
x---------> quantity (ton) of vegetables sold the first day
y---------> quantity (ton) of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day

we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4

to resolve the equations system formed by
x=y-3
14x+14y=882

using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35

the answer is
vegetables sold the first day----> 30 ton
vegetables sold the second day----> 33 ton
vegetables sold the third day------> 35 ton

Answer:
amount sold on first day = 30 tons
amount sold on second day = 33 tons
amount sold in third day = 35 tons

Explanation:
Assume that the amount of vegetables sold on the second day is x.
We are given that:
Amount of vegetables sold on the first day is 3 tons less that sold on the second day.
This means that:
amount sold on first day = x - 3
Amount of vegetables sold on the third day is 5/9 the amount sold on the first two days.
This means that:
amount sold on third day = (5/9) (x + x - 3)
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex]

Now, we know that:
Total amount sold is 98 tons.
This means that:
98 = x - 3 + x + [tex] \frac{10}{9} x - \frac{5}{3} [/tex]

Now, we will solve for x as follows:
98 = [tex] \frac{28}{9} x - \frac{14}{3} [/tex]

882 = 28x - 42
882 + 42 = 28x
924 = 28x
x = 924/28
x = 33 tons

This means that:
amount sold on first day = x - 3 = 33 - 3 = 30 tons
amount sold on second day = x = 33 tons
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex] = [tex] \frac{10}{9} (33) - \frac{5}{3} [/tex] = 35 tons

Hope this helps :)

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