George has $3 in his saving account. He then adds $4 per day to the account. Let y represent the total amount in the account after x days.
Express the equation in the form of y=mx + b
Enter your answer in the box.
Plz help
Answers
Answer:
y = 4x + 3
Step-by-step explanation:
since we know how much he adds daily, we can put it next to 4, since we don't know how long he is going to save money. next you just add 3 as a checkpoint
Answer:
Y=4x+3
Step-by-step explanation:
4x represents the number of days he's added 4 and the 3 represents what he started off with.
Related Questions
henry can write 5 pages of his novel in 3 hours at this rate ,how many pages can Henry write in 8 hours
Answers
Divide 5 by 3, he can write 1.66 pages an hour
1.66x8=13.33
Your answer would be 13
Ten cards numbered 1 thru 10 are placed in a box. If a card is de random from the box, what is the probability of drawing a prime a 10% b 25% c 40% d 50%
Answers
Answer:
a) There are four prime numbers between 1 and 10: 2, 3, 5, and 7. So the probability of drawing a prime number is 4/10 or 2/5, which is 20% and not 10%. Therefore, option (a) is not correct.
b) As we saw in part (a), the probability of drawing a prime number is 2/5 or 40% (since 2/5 is equivalent to 0.4). Therefore, option (b) is correct.
c) The probability of drawing a prime number is 2/5 or 40%, which is not 25%. Therefore, option (c) is not correct.
d) As we saw in part (a) and (b), the probability of drawing a prime number is 2/5 or 40%, which is not 50%. Therefore, option (d) is not correct.
So, the correct answer is (b) 25%.
Hope This Helps!
x+y+z=600
40x + 25y + 20z = 15850
35x + 50y + 35z = 13450
Answers
The solution for the equation for x, y,z are 318.3 , 503.33 , 785.
What is equation?
In arithmetic, AN equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
given equation are:
x+y+z=600 ----(1)
40x + 25y + 20z = 15850 ----(2)
35x + 50y + 35z = 13450 ---(3)
using equation 1,
x =600 - z -y
substituting value of x in eqn (3)
35(600 - y - z) +50y +35z = 13450
21000 - 35y - 35 z + 50y + 35z = 13450
15 y = -7550
y = -503.33
substituting the value of x and y in eqn (2)
40(600-y-z) +25 y +20z = 15850
24000 - 40y -40z +25 y+ 20z = 15850
24000 -15y -20z = 15850
3y +4x = 1630
3(-503.33) +4x = 1630
z = 785
Hence the value to these equation are as follows.
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your closet floor is 90 inches wide and 3 times as long what is the perimeter and area of your closet floor
Answers
Answer: 270
Step-by-step explanation:
90x3=270
Answer:
I mean
Step-by-step explanation:
Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.
What monthly payment is needed to pay off a loan of $10,000 amortized at 12% compounded monthly for 12 months
Answers
Given:
Principal(p) = $10 000
rate(r) = 12% = 0.12
Time(t) =12 months = 1 (year)
n= 12
Using the formula below:
\(A=P(1+\frac{r}{n})^{nt}\)Substitute the values and evaluate:
\(A=10000(1+\frac{0.12}{12})^{12\times1}\)\(=10000(1+0.01)^{12}\)\(=10000(1.01)^{12}\)\(=10000\times1.126825\)\(=11268.25\)Amount to be paid is $11,268.25
Monthly payment = $11,268.25 /12 = $939.02
Therefore, monthly payment needed to pay off the loan is $939.02
Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution
Answers
x >/= 15
She must work 15 hours or more to earn at least $120
Find the unknown coordinate so the line through the
points has the given slope
Answers
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
If you conducting a test for statistical study and you got outcome with the likelihood of 0.005. Please evaluate outcome.
Answers
Here is the complete question:
a. Statistically significant at 0.01
b. Not statistically significant
Answer:
The test is significant
Step-by-step explanation:
When a p value is smaller than or less than alpha we say it is statistically significant.
We are testing the p value or likelihood of 0005 against a significant level of 0.01
P value = 0.005 < 0.01
0.005 is less than 0.01 which shows the test to be significant.
The decision rule would be to reject the null hypothesis and say the result is statistically significant.
How do you do this question?
Answers
Answer:
3/2
Step-by-step explanation:
∫ x^(-4/3) dx
Use power rule to evaluate the integral.
-3 x^(-1/3) + C
Evaluate between x=t and x=-8.
[-3 (-8)^(-1/3) + C] − [-3 t^(-1/3) + C]
-3 (-1/2) + C + 3 t^(-1/3) − C
3/2 + 3 t^(-1/3)
Take the limit as t approaches -∞:
lim(t→-∞) [3/2 + 3 t^(-1/3)]
3/2 + 3(0)
3/2
Amanda bought 5 candles for $6 each, 4 lotions for $5 each, and 10 face masks for 3$ each. Write an expression to find the total amount Amanda spent.
please help it is due in 10 min
Answers
Answer:
$77 spent in all
Step-by-step explanation:
Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
O x= -2, x= -4
O x= -2, x = 4
O x= 2, x= 4
O x = 2, x = 4
Answers
Answer: B
Step-by-step explanation:
Find the slope of the line tangent to the curve 3 x^2 y + cos(y) = (√3 + π)/2 at the point ( − 1 , π/6 ) .
Answers
Answer:
fuhghoierhfoqierhf
Step-by-step explanation:
Without multiplying tell which is greater 4/5x45 or 2/3x45
Answers
Answer:
2/3 x 45 < 4/5 x 45
Step-by-step explanation:
Rearrange from smallest to largest:
2/3 x 45 < 4/5 x 45
I hope this helps!
Find the value of the expression 4d÷c+3 when c=3 and d=6?
Answers
Substitute the c for 3 and the d for 6 and evaluate the expression:
\(\begin{gathered} =\frac{4(6)}{3+3} \\ \\ =\frac{24}{6} \\ \\ =4 \end{gathered}\)a total of 491 tickets were sold for the school play. they were either adult tickets or student tickets. there were 59 fewer student tickets sold then adult tickets . how many adult tickets were sold?
Answers
Answer:
270
Step-by-step explanation:
270+270-59=491
and 216 student tickets sold
Step by step
We know
a (adult tickets) + s (student tickets) = 491
We know
a (adult tickets) minus 59 = s (student tickets)
Do our equations are
a + s = 491
a - 59 = s
Substitute the second equation “s” value into the first equation and solve
a + a - 59 = 491
Add 59 to both sides to isolate “s”
a + a -59 + 59 = 491 + 59
Combine like terms
2a .= 550
Divide both sides by 2 to solve for “a”
2/2 a = 550/2
a = 275
No we we can solve for “s” by substituting our “a” value into one of the equations.
a + s = 491
275 + s = 491
Subtract 275 from both sides to solve for “s”
275 - 275 + s .= 491 - 275
s = 216
Now we can check our work by substituting both values for “a” and “s” into the equation
a + s = 491
275 + 216 = 491
491 = 491
Problem solved!
Decrease £2155.45 by 18.5% then rounded to 2dp
Answers
Answer:
18.5%/10×100
185
2155-185
1970
now pls round off cause I don't understand 2dp
The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answers
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours
Find the area of the shaded region
O100 m²
O 105 m²
O 75 m²
O 50 m²
5m
10 m.
5m
15 m
Answers
Explanation:
assuming this is a rectangle, the larger region area is 15*5= 75 square meters.
The smaller region’s area would be 10*5= 50 square meters.
• remember that A=lw, where l is length and w is width.
Without an illustration & on the assumption this is a rectangular region, here are the conclusions:
• given these two areas,
If the shaded area looks like , the area is just 50 square meters because the dimensions needed to solve for the area were given.
OR
• If the shaded region looks like subtract the smaller area from the larger one: 75-50= 25 square meters. (However, given that this is not an answer choice, I don’t think the illustration would look like this).
What fraction of the numbers from 1 to 20 contain the digit 6?
Answers
The fractions that contain the digit 6 are 1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
What are Fractions:The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. Fractions are referred to as the parts of a whole number in mathematics. A single thing or a collection of objects might be entire.
In simple words, It is also defined as a mathematical number that illustrates the components of a whole.
In a fraction, the upper portion is known as the numerator and the lower portion is known as the denominator.
Here we have numbers from 1 to 20
The fractions that can be formed from 1 to 20 numbers and that contain the digit 6 are given below
1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
As given above we can form different fractions that contain the digit 6
Therefore,
The fractions that contain the digit 6 are 1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
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Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
Answers
Explanation: 9x3=27x2=54
7x3=21x2=42
7x9=63x2=126
54+42+126=222
The National Association of College and University Business Officers collects data on college endowments. In 2015, its report included the endowment values of 841 colleges and universities in the United States and Canada. When the endowment values are arranged in order, what are the locations of the median and the quartiles in this ordered list?
(Enter the position of the median and quartiles in the answer blanks, not the actual values of the median and quartiles. The data set of all 841 values is not provided here so it would be impossible to find the values of the median and quartiles with the information provided.)
What is the position of the median? (Enter you answer rounded to the nearest whole number.)
What is the position of the first quartile? (Enter your answer rounded to one decimal place.)
What is the position of the third quartile? (Enter your answer rounded to one decimal place.)
Answers
Answer:
.
Step-by-step explanation:
Tanks for the asnawer
Answers
The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).
Answers
Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)
Two points are (5,40) and (0,10). So, the equation of trend line is
\(y-40=\dfrac{10-40}{0-5}(x-5)\)
\(y-40=\dfrac{-30}{-5}(x-5)\)
\(y-40=6(x-5)\)
\(y-40=6x-30\)
Adding 40 on both sides, we get
\(y=6x-30+40\)
\(y=6x+10\)
Therefore, the equation of trend line is \(y=6x+10\).
Eight less than half of a number is 52”. Check the solution.
Answers
x/2 = 60
x = 120
Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️
Answers
This value is approximate since pi = 3.14 is approximate.
=======================================================
Work Shown:
r = radius = diameter/2 = 20/2 = 10 inches
L = slant height = 40 inches
SA = surface area of the cone
\(\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\\)
The surface area of the cone is approximately 1570 square inches.
We can abbreviate "square inches" into \(\text{in}^2\)
If you want to get a more accurate surface area value, then use more decimal digits of pi.
One number is 6 more than another. Twice the larger number is 5 times the smaller .
Which is the smaller number
Answers
To translate a word problem into an equation/equation, we much recognize and change key words into operations or numbers.
a number/the number/one number = x (and/or y)_ more = add that amounttwice = multiply by 2Solving the QuestionWe're given:
One number is 6 more than another numberTwice the larger number is 5 times the smallerLet the first number equal x and let the second equal y.
Translate the sentences into equations:
One number is 6 more than another number⇒ \(x=y+6\)Twice the larger number is 5 times the smaller⇒ \(2x=5y\)
Use substitution to solve for y:
\(2(y+6)=5y\\2y+12=5y\\12=3y\\y=4\)
AnswerThe smaller number is 4.
Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.
Which of the following is a reason that the marketing staff should not calculate a confidence interval for the proportion of all community residents who received the concert brochure by mail? Check all that apply.
A) The sample needs to be random, but we don’t know if it is.
B)The actual count of community residents who received the concert brochure by mail is too small.
C)The actual count of students who community residents who didn’t receive the concert brochure by mail is too small.
D) n(p‐hat) is not greater than 10.
E) n(1 minus p‐hat) is not greater than 10.
Keep in mind, this is a Check all that apply question.
Answer:
A, B, D
Answers
Help ASAP please please please
Answers
Answer:
Step-by-step explanation:
5/6 + 7/9 = 1 11/18
A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?
Answers
Choosing 2 boys can be done in 14 x 13 = 182 ways.
But this puts them in order ( first and second) which is not required so the unordered number ways is 182 / 2 = 91
Choosing 3 girls can be done in 12 x 11 x 10 = 1320 ways but 3 girls can appear in 3! ways = 6.
The number of unordered selections of 3 girls = 1320 / 6 = 220
The total number of selections is 91 x 220 = 20020.
If you thought the answer was 240240 it is because you used permutations rather than combinations.
If you are still confused, remember choosing Alan and Bruce is the same as choosing Bruce and Alan.
For the girls you could choose CDE, CED, DCE, DEC, ECD OR EDC and still get exactly the same 3 girls.
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answers
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
