Answer: 213 2/3 miles
Step-by-step explanation:
first we need to set up an equation to solve
let your equation be in y=mx+b form since we are using a rate
Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation
y = Budget
m = rate
x = how many miles she can go -- the unknown variable
b = the initial fee
Your equation should be: 50 = 0.15x + 17.95
We want to soIve for x now so first get rid of the coefficient not attached to it
To do this, you do the inverse function of addition, which is subtraction
Subtract 17.95 from both sides
Your new equation will be: 32.05 = 0.15x
0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division
divide both sides by 0.15
Your final answer: 213 2/3 miles
On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420
Answer:
A) 360 adults
Step-by-step explanation:
c=quantity of child
a=quantity of adult
9c+12.5a=5220
a+c=440 then c=440-a
substitute for c
9(440-a)+12.5a=5220
3960-9a+12.5a=5220
reduce
3.5a=1260
a=360
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
Null hypothesis:
H0: The population proportion B = population proportion A
Alternative hypothesis:
H1: The population proportion of B > population proportion A
The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.
Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.
1. Mike’s rectangular dining room is 8 feet wide and 6 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Mike need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Mike for the new flooring? SHOW YOUR WORK
c. How much base board would Mike need to purchase to go around the perimeter of the dining room? SHOW YOUR WORK
Answer:
a:
to find area we need to multiply width by length
so lets multiply 8×6
so we will get 48 feet
b:
the area is 48 feet, and we know that it costs 10$ per
square foot
so we will multiply 48×10
so we will get 480$
c:
the premiter = all sides added to gather
in a rectangle we have 4 sides, 2 width and 2 length
so the answer will be (8×2)+(6×2)
so the answer will be 16+12=30
At 1 P.M., the total snowfall is 5 centimeters. At 4 P.M., the total snowfall is 16 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answer:
Mr. Snowbully
Step-by-step explanation:
I think the mean hourly snowfall is named Mr. Snowbully
It's a funny name!
Well, the snow would grow at a rate of 4 cm every hour so...
4
What is the area of one trapezoidal face of the figure
If m∠EBF = 6x + 4 and m∠CBF = 7x – 2, find m∠EBF.
Traders have invested $ 100,000 in the Peace Garden Center to boost the capital Mogadishu and make a profit. looga farm income to make people come to the door to take the free tickets for different values $ 0.8 adults and 0.6 children. As many as 150 tickets were sold on Friday for $ 102. produce more child tickets than adult tickets?
if George put $6,000 into a savings account that pays 3.5 percent in compound how many years would it take for him to have 18,000 dollars if no money is added or withdrawn during this time?(Round to the nearest tenth)
Answer:
57.1 years
Step-by-step explanation:
multiply the money put into savings by the interest rate 6000×.035=210
divide the total earned by the annual interest earned
12000÷210=57.1428571428
rounded to the nearest tenth is 57.1
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
Answer:135000
Step-by-step explanation:
Answer:
The field has an area of 135,000 m².
Step-by-step explanation:
We first convert the measurements from kilometers to meters by multiplying by 1000.
- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.
- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.
So the field is a rectangle 450 meters long and 300 meters wide.
To compute the are of this rectangle, we multiply its length by its width.
- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².
so the answer is 135,000 m².
Please help and explain if you can cuz im confused
Answer:
B. 664 square inches
Step-by-step explanation:
14 * 10 =140
140 * 2 = 280
8 * 10 = 80
80 * 2 = 160
14 * 8 =112
112 * 2 = 224
280 + 160 + 224 = 664
Therefore, your answer would be B. 664 square inches.
help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.
True or false: Removing the parenthesis from will change the result.
Answer:
true
Step-by-step explanation:
the steps won't be the same
Answer:
True
Step-by-step explanation:
In a equation with parenthesis it is VERY important to never take them out of the equation. The only reason for that is that the parentthesis are signaling you to solve what is in the parentthesis first. And if you where to move the parenthesis out your answer would be totally different. Hope this helped. (Brainliest?)
How to figure out diameter
Answer:
If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).
Answer:
A diameter of a circle is twice its radius!
Hope that helps!
Step-by-step explanation:
The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
1. 02
2. 0-2
3. 4 1 / 2
Answer:
Step-by-step explanation:
x/2 = 2x-3
x = 4x-6
3x = 6
x = 2
may I please have help
Answer:
47
Step-by-step explanation:
90-43=x
cause yo hair nappy........
Answer:
what do you mean?
Step-by-step explanation:
I dance I sing I am perfect I am I am a believer that I am a discoverer. PLEASE ANSWER I'LL MARK AND BRAINLIEST
Answer:
not sure if its a song or not but you do you, gg <3
Answer:
YAZZ You are amazing :> remind yourself everyday!!!
Find the interest rate. You are borrowing $1,310 for 10 years and you are penalized $655 in interest.
Pls Help
Answer:
5%
Step-by-step explanation:
I (simple interest) = $655
P (principle) = $1,310
R (interest rate) = ?
T (time) = 10
I = PRT
655=(1,310)r(10)
655 = 13,000•r
13,100 13,100
r • 0.05
0.05 converted to percent is 5%
A school is arranging a field trip to the zoo. The school spends 615.65 dollars on passes for 33 students and 2 teachers. The school also spends 290.07 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
the answer is $26.38
Step-by-step explanation:
I hope this helps!
find the center and radius of this circle (x+13)^2+(y+2)^2=81
Answer:
center (-13,2) radius=9
Step-by-step explanation:
(x+13)^2+(y+2)^2=81
x=-13
y=-2
r=sq rt of 81
The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
What is a circle and equation of the circle?A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form,
[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]
Given equation of circle
[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)
By comparing the standard form of circle with equation 1, we get
(h, k) = (-13, -2) and
[tex]r^{2} = 81[/tex]
⇒ [tex]r = \sqrt{81}[/tex]
⇒ r = 9
Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
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Than Nguyen opened a business called Nguyen engineering and recorded the following transactions in its first month of operations.
June 1: Than Nguyen, the owner, invested $158,000 cash, office equipment with a value of $19,500, and $89,000 of drafting equipment to launch the company in exchange for common stock.
June 2: the company purchased land worth $63,500 for an office by paying $26,000 cash and signing a long-term note payable for $36,900.
June 2: The company purchased a portable building with $40,500 cash and moved it onto the land acquired on June 2.
June 2: The company paid $11,700 cash for the premium on a 15-month insurance policy.
June 7: The company completed and delivered a set of plans for a client and collected $17,800 cash.
June 12: The company purchased $37,400 of additional drafting equipment by paying $24,000 cash and signing a long-term note payable for $13,400.
June 14: The company completed $37,200 of engineering services for a client. This amount is to be received in 30 days.
June 15: The company purchased $2,600 of additional office equipment on credit.
June 17: The company completed engineering services for $27,000 on credit.
June 18: The company revived a bill for rent of equipment that was used on a recently completed job. The $2,750 rent cost must be paid within 30 days.
June 20: The company collected $18,600 cash in partial payment from the client billed on June 14.
June 21: The company paid $2,000 cash for wages to a drafting assistant.
June 23: The company paid $2,600 cash to settle the account payable created on June 15.
June 24: The company paid $1,650 for minor maintenance of its drafting equipment.
June 26: The company paid $10,060 cash in dividends.
June 28: The company paid $2,000 cash for wages to a drafting assistant.
June 30: The company paid $3,660 cash for advertisements on the web during June.
Description of items that require adjusting entries on June 30, follow:
A.) The company has completed, but not yet billed, $17,600 of engineering services for a client.
B.) straight-line depreciation on the office equipment, assuming a 5 year life and a $2,300 salvage value, is $330 per month.
C.) straight-line depreciation on the drafting equipment, assuming a 5 year life and a $12,400 salvage value, is $1,900 per month.
D.) straight-line depreciation on the building, assuming a 25 year life and a $1,500 salvage value, is $130 per month.
E.) the balance in prepaid insurance represents a 15 month policy that went into effect on June 1.
F.) Accrued interest on the long-term note payable is $190.
G.) the drafting assistant is paid $2,000 for a 5 day work week. 2 days’ wages have been incurred but are unpaid as of month end.
Please answer please thank you
Based on the transactions made by Than Nguyen, the following journal entries are true:
Date Account Title Debit Credit
June 1 Cash $158,000
Office equipment $ 19,500
Drafting equipment $89,000
Nguyen, Captal account $266,500
June 2 Land $63,600
Cash $ 26,600
Note Payable $36,900
June 2 Building $40,500
Cash $40,500
June 2 Prepaid insurance $11,700
Cash $11,700
June 7 Cash $17,800
Service Revenue $17,800
What journal entries should be made?The amount that Than Nguyen put up for capital should be credited to the capital account and then debited to the various asset accounts.
The purchased land should also be debited to land, and the cash that was spent to buy the land should be credited along with the note payable.
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Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
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Question 5 of 12
The orthocenter of a triangle may lie outside the triangle since the
may not intersect any side of the triangle.
A. angle bisector
B. perpindicular bisector
C. altitude
D. median
SUBMIT
Given that 5x - 8y = 33 find x when y = 1
Answer:
x = ⁴¹⁄₅ or 8.2Explanation:
5x - 8y = 33
y = 1
Insert 1 for 'y' in the equation
5x - 8(1) = 33
Remove parenthesis: (a) = a
5x - 8 · 1 = 33
Multiply 8 · 1: 8
5x - 8 = 33
Add 8 to both sides
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
Divide both sides by 5
5x / 5 = 41 / 5
x = ⁴¹⁄₅
Turn the fraction into a decimal
x = 8.2
Question 1 of 10
Which of the following is most likely the next step in the series?
Answer:
The second one.
Step-by-step explanation:
The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.
At the first stop, 17 people
got off the bus. Now there
are 35 people on the bus.
How
mony were on the
bus to begin win?
Answer:
There were 52 people on the bus to begin with.
Step-by-step explanation:
If 17 people got off and 35 were remaining then you have to add 17 + 35 = 52
Answer:
17+35=52
Step-by-step explanation:
AT BEGNING THERE WERE 52 people on bus so when the 17 people got off the bus on first stop only 35 remained.
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
In ΔWXY, x = 1.2 cm, ∠X=45° and ∠Y=108°. Find the length of w, to the nearest 10th of a centimeter.
Answer:
w = 0.8cm
Step-by-step explanation:
1 2/3 + (-2/5)
Math homework homework math
1 4/15
1x3+2/3 - 2/5
3+2/3 - 2/5
5/3 - 2/5
LCD = 15
5x5/3x5 - 2x3/5x3
25/5 - 6/15
25-6/15
19/15
1 4/15
Answer:
1.26666666667