Your bank charges you a fixed monthly fee for banking there and a charge for each check you write one month you wrote 23 checks and were charged 16.70 the next month you wrote 18 checks and were charged 15.95 how much is your fixed monthly charge and how much do they charge per check
Answer:
Your fixed monthly charge is $13.25 and the charge per check is $0.15.
Step-by-step explanation:
The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:
x+23y=16.70
Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:
x+18y=15.95
You can use these equations to find the value of x and y:
x+23y=16.70 (1)
x+18y=15.95 (2)
where x is the fixed monthly fee and y is the charge for each check
First, you can solve fo x in (1)
x=16.70-23y (3)
Then, you can (3) in (2):
16.70-23y+18y=15.95
16.70-5y=15.95
16.70-15.95=5y
0.75=5y
y=0.75/5
y=0.15
Finally, you can replace the value of y in (3) to find x:
x=16.70-23(0.15)
x=16.70-3.45
x=13.25
According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.
Help I need to pass this
Answer:
bottom right hand corner is false
Step-by-step explanation:
Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure
8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5
Answer:
Equation: y = x - 4
Slope: 1
y-intercept: -4
Equation: y = -9x + 5
Slope: -9
y-intercept: 5
Hope this helps!
What is the scale factor from triangle ABC to triangle PQR?
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
Learn more about the linear equation here:
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write the linear equation in standard form y=4/3x-2/3
Answer:
The answer would be -4/3x+y=-2/3
Step-by-step explanation:
The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.
A bird leaves it's nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours. A. What is the distance of the entire trip? ___ Miles B. How long does the entire trip take? __hours ___minutes and ___ seconds
Answer:
Step-by-step explanation:
Distance = Speed * time
If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:
D = 15x
x = D/15 ....... 1
If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours
Her speed = 15 - 3 = 12mi/hour
If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:
D+2 = 12x
x = D-2/12 ....... 2
Equate 1 and 2:
D/15 = D-2/12
Cross multiply
12D = 15(D-2)
12D = 15D - 30
12D-15D = -30
-3D = -30
D = 10 miles
The distance for the entire trip will be D + (D-2) = 10 + (10-2)
= 10 + 8
= 18 miles
To get the time x, we will substitute D = 10 into equation1
D = 15x
10 = 15x
x = 10/15
To minutes
x = 10/15 * 60
x = 40 minutes
For the going trip
Time taken = x hours
Return trip = x hours
Total time for the entire trip = x+x = 2x
= 2(40)
= 80 minutes
Hence the total time taken for the entire trio will be 1 hour 20minutes
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
What is the coefficient of the term below?
– 5x²yt
Enterlu
-
Answer:
The coefficient is: *-5*
in the -5x.
Step-by-step explanation:
I hate math I'm dumbbb
Answer:
Domain is x and range is y
1/2 (4x+3) < 1/2 (2x+6)
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.
You are running a 10 mile race. You run the first 3 miles in 24.7 minutes. Your goal is to finish the race in less than 1 hour and 20 minutes. What should you average running time (in minutes per mile) be for the remaining miles?
Answer:
Therefore you have to run every mile in ~ 8 minutes.
Step-by-step explanation:
10 miles - 3 miles = 7 miles left.
1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes
= 55.3 minutes left
Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3.
So:
7 miles = 55 minutes
1 mile x minutes
x minutes= 55 x 1 ÷ 7 miles
x minutes = 7.85
x minutes = ~ 8 minutes
Therefore you have to run every mile in ~ 8 minutes.
Hope this helps!
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could play the clarinet and 12 could play the saxophone. four could play the flute and the saxophone, four could play the flute and the clarinet, and 6 could play the clarinet and the saxophone. 3 students can play none of the three instruments. Find the number of students who could play: a. All the instruments b. Only the saxophone c. The saxophone and clarinet, but not the flute d. Only one of the clarinet, saxophone, or flute.
Answer:
a. The number of students who can play all three instruments = 2 students
b. The number of students who can play only the saxophone is 0
c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only one of the clarinet, saxophone, or flute = 4
Step-by-step explanation:
The total number of students available = 29
The number of students that can play flute = 11 students
The number of students that can play clarinet = 15 students
The number of students that can play saxophone = 12 students
The number of students that can play flute and saxophone = 4 students
The number of students that can play flute and clarinet = 4 students
The number of students that can play clarinet and saxophone = 6 students
Let the number of students who could play flute = n(F) = 11
The number of students who could play clarinet = n(C) = 15
The number of students who could play saxophone = n(S) = 12
We have;
a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)
Therefore, we have;
29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3
29 = 24 + n(F∩C∩S) + 3
n(F∩C∩S) = 29 - (24 + 3) = 2
The number of students who can play all = 2
b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)
The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0
The number of students who can play only the saxophone = 0
c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4
The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only the saxophone = 0
The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3
The number of students who can play only the clarinet = 3
The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1
The number of students who can play only the flute = 1
Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4
The number of students who can play only one of the clarinet, saxophone, or flute = 4.
Please someone help
Answer:
Nerys pays 3.1/3.84,5=84,5£per year
Eleri pays 3.84,5=253,5£per year
253,5-84,5=169£ more pay Eleri
HELP PLEASE MULTIPLE CHOICE
Answer:
I believe the answer you chose is correct. Hope this helps and please mark as helpful if I was correct. THanks!
Step-by-step explanation:
Help me solve this problem please
Answer:
6
Step-by-step explanation:
2(6) - 3(6) + 20 + 5(6) - 40 = 4 CORRECT
2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG
2(16) - 3(16) + 20 + 5(16) - 40 = 44 WRONG
2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher
friends at school
She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie.
If she wants each container to have the greatest number of cookies possible, how many plastic containers does she
need?
Answer: 16 containers?
Step-by-step explanation:
Number of oatmeal cookies with Kiara = 30
Number of chocolate chips cookies with Kiara = 48
To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .
Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32
Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48
Common and highest among these factors = 16
Which means 16 is the HCF of 32 and 48 .
∴ Kiara will need 16 plastic containers .
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
Nancy’s equation: Juan’s equation:
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is
[tex]y=3x[/tex]
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is
[tex]y=3+2x[/tex]
Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Best answer gets brainliest 2+2
Answer:
I would say this would be either 4, 22, or fish
The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
Can someone please help me with this? I would appreciate it <3
Answer:
i kinda see its test or not?
Step-by-step explanation:
you have to divided it.
*Eight is added to three times a number 'x' gives 15".
Answer:
x+8 =15
x=15-8
x=7 .
this is the answer
Answer:
3x + 8 = 15
(If you wanted to solve it then:) x = 7/3
Step-by-step explanation:
Let's convert that into an equation.
Let "x" be the number.
3x + 8 = 15
If the question was to answer it, look below:
3x + 8 = 15
3x = 7
x = 7/3
Hope this helped! If not, please let me know! <3
∆ABC is isosceles. If m∠B = 35° what is the measure of ∠C?
Answer:
If ABC is isosceles, then <C is 35, and <A should be 110.
Step-by-step explanation:
What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)
Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.Learn more about the inequality is true.
brainly.com/question/19366916.
Answer:
i have a feeling it is b
Step-by-step explanation:
this is a geo question i do not understand someone please help me