Answer:
Justin has 10 nickels and 5 dimes.
Step-by-step explanation:
Given that Justin has x nickels and y dimes, and he has a minimum of 15 coins worth at most $ 1 combined, to determine one possible solution the following calculation must be performed:
Nickel = 0.05
Dime = 0.10
15 x 0.05 + 0 x 0.1 = 0.75
14 x 0.05 + 1 x 0.1 = 0.80
13 x 0.05 + 2 x 0.1 = 0.85
12 x 0.05 + 3 x 0.1 = 0.90
11 x 0.05 + 4 x 0.1 = 0.95
10 x 0.05 + 5 x 0.1 = 1
So, Justin has 10 nickels and 5 dimes.
Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?
Amount Avery paid: 32,000-12,000-6,000 = 15,000
Divide portion she paid by total cost:
15,000/33,000
Simplify to 15/33
Multiply the amount the boat was sold for by her portion:
25,300 x 15/33 = 11,500
Subtract the amount she got from the amount she paid:
15,000 - 11,500 = 3,500
She lost $3,500
Answer:
yes
Step-by-step explanation:
yes!
Andrea receives a $40 gift card to use at the roller skate rink. It costs her $8 per visit to skate. Write a function relating the value of the gift card, v, in terms of the number of visits,n
Answer:
its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
35%
Step-by-step explanation:
Answer:
35%
Step-by-step explanation:
First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.
NEED HELP FOR THIS QUESTION
I want to buy some Botswana pulas and the exchange rate is 8.25 BWP = £1 if I buy them abroad using a credit card or 8.5 BWP = £1 for a cash transaction at a Bureau de Change. The credit card company will charge me 2.3% commission on a credit card transaction whereas a Bureau de Change charges 2% commission plus a fee of £3.
Write down an expression for the cost (including commission) of buying a particular number of Botswana pulas
(a) by credit card and
(b) from a Bureau de Change.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
Answer:
(a) A = 0.00278787878787878x
(b) B = 0.00235294117647058x + 3
(c) The answers are as follows:
For buying by credit card
For 700 BWP: Cost = A = £1.95
For 800 BWP: Cost = A = £2.23
For 800 BWP: Cost = A = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: Cost = B = £4.65
For 800 BWP: Cost = B = $4.88
For 1000 BWP: Cost = B = £5.35
(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Step-by-step explanation:
(a) by credit card
For the exchange rate, we have:
8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121
The expression can therefore be written as follows:
A = £0.121212121212121 * r * x ................. (1)
Where;
A = cost (including commission) of buying a particular number of Botswana pulas by credit card
r = commission on a credit card transaction = 2.3%, or 0.023
x = the number of pulas bought
Substituting for r into equation (1), we have:
A = £0.121212121212121 * 0.023 * x
A = 0.00278787878787878x ................. (2)
Equation (2) is the expression.
(b) from a Bureau de Change
For the exchange rate, we have
8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529
B = (£0.117647058823529 * r * x) + F ................. (3)
Where;
B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.
r = commission charged by Bureau de Change. = 2%, or 0.02
x = the number of pulas bought
F = fee = £3
Substituting for r and F into equation (3), we have:
B = (£0.117647058823529 * 0.02 * x) + £3
B = 0.00235294117647058x + 3 ................. (4)
Equation (4) is the expression.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
For buying by credit card
The equation (2) is used as follows:
For 700 BWP: A = £0.00278787878787878 * 700 = £1.95
For 800 BWP: A = £0.00278787878787878 * 800 = £2.23
For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65
For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88
For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
This can be calculated by equating equations (2) and (4) and then solve for x as follows:
0.00278787878787878x = 0.00235294117647058x + 3
0.00278787878787878x - 0.00235294117647058x = 3
x(0.00278787878787878 - 0.00235294117647058) = 3
x0.0004349376114082 = 3
x = 3 / 0.0004349376114082
x = 6,897.54 pulas
Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Which is the graph of y=-x-3?
Either graph A or C, i'm leaning more towards A
A
Step-by-step explanation:
because slope is 3/4 and y-intecept is (0,-3)
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
What is the slope and y-intercept of the function
f(x) = - 7 + 3x
A. m= 1/3 b= 7
B. m= -3 b= -7
C. m=3 b =-7
D. m= -1/3 b= 7 7
Answer: the answer is C. M= 3 and B= -7
the slope is always with the (x) and the b is by itself
another expression 3/4÷6
Answer:
1/16 + 1/16
..............................
Answer:
3/4 x 1/6
Step-by-step explanation:
both would end up as 1/8
hope this helps :)
Solve the system of equations x – 3y = 1 and 2x + 2y = 18 by combining the
equations.
2/7 of 49
fractions
Answer:
14
Step-by-step explanation
Chapman wants to buy a pair of AirPods however he currently has only 20 he then decides to begin saving his monthly allowance until he has enough for his purchase. After two months, he has saved a total of $66, including his initial $20. Select the linear equation that models S, The total amount of money he will have saved, X months after he begins saving his allowance
Answer:
C
Step-by-step explanation:
i think its c but i cant be to sure im only in the 7th grade :) i hope its right
What is the area of the object above?
A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm
Answer:
102cm2
Step-by-step explanation:
Split the shape into two rectangles:
A. 4 x 8 = 32cm2
B. 7 x 10 = 70cm2
70 + 32 = 102cm2
6 ft = ____ yd
6 ft = 6 x 1 ft
= 6 x ____ yd
= ____ yd
Answer:
6 ft = 2 yd
6 ft = 6 x 1 ft
= 6 x 2 yd
= 12 yd
Please help please help
This is a quadratic function and I have to use a square roots method please help me
F(x)=3x^2+7x-20
Answer:
the answer can be 1.667 or -4
Is x=3, y=2 a solution to the system of equations shown? Justify your answer.
y = 2x - 4
3x + 2y = 8
Answer:
It is not a solution.
Step-by-step explanation:
y = 2x - 4
2 = 2(3) - 4
2 = 6 - 4
2 = 2
The point is a solution to the first equation.
3x + 2y = 8
3(3) + 2(2) = 8
9 + 4 = 8
11 ≠ 8
The point is only a solution for one equation. It is not a solution to the system.
Hope this helps.
Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answer:
12.04
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 9² = c²
64 + 81 = c²
145 = c²
c = 12.04
Help I’m doing 8th grade work
Answer:
I think B by I'm not sure
Step-by-step explanation:
I'm not good with this subject
Please help me with the math please?
Answer:
count how many flowers there are on number 1
Answer:
okay so 3. equals 20
4. 1st one 2nd one 3rd one equals 30
5. first one 2nd one 3rd one equals 30
6. first one second one equals 20
7. first one second one equals 20
Step-by-step explanation:
Caleb is comparing the growth of plants using two different fertilizers
Part A use the measures of center from the box plots to make an inference about the data. Use the drop down menus to explain your answer
Part B use the box plots to make an inference using the variability of the data. Drag words to complete the statement. Words may be used once, more than once, or not at all.
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Answer:
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Step-by-step explanation:
A radio that costs $29.49 was marked up by 35%
Answer:
the new price of the radio is $39.81
Step-by-step explanation:
multiply the cost by the mark up to find how much the price was raised by
29.49•0.35= 10.32
then add the mark up to the original price
10.32+29.49= $39.81
and I rounded to the hundreds place because it's money
hope this helps babe <3
Answer:
I think it is $21.84
Step-by-step explanation:
5.5 + n = 10 please help
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
Which scenario represents a proportional relationship?
Question 2 options:
Bob is a bellhop at the hotel and makes $12.50 per
hour plus tips.
Richard works at a Fire Department and earns $15.00 per hour.
Mr. Bridges has a plumbing business and charges $45.00 an hour plus
a $11.00 service fee.
Sally works at Build-a-Bear Workshop and creates cute, cuddly
stuffed animals. She earns $10.00 per hour and accepts tips.
Answer:
The answer should be B
Step-by-step explanation:
I hope this helps! Let me know if I am wrong.
the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee
Answer:
geometry
The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest
The sum of the interior angles of a pentagon is 180(5-2) = 540º
so
4x + 5x + 3x + 8x + 7x = 540
solve for x and sub into 3x
which Is NOT a linear function?
I think its Y = x+ 3
There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).
Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43
Compute the following descriptive statistics for each group. (30 points total)
a. Mean
b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)
Answer:
[tex]Mean = 47[/tex]
[tex]n = 6[/tex]
[tex]s= 16.56[/tex]
[tex]\sqrt n = 2.45[/tex]
[tex]SEM = 11.55[/tex]
Step-by-step explanation:
Given: The above data
Solving (a): Mean of each group
Mean is calculated as:
[tex]Mean = \frac{\sum x}{N}[/tex]
[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]
[tex]Mean = \frac{846}{18}[/tex]
[tex]Mean = 47[/tex]
Solving (b): The sample size of each group
This is the number of rows in each group.
Hence:
[tex]n = 6[/tex]
Solving (c): Standard deviation (s)
This is calculated as:
[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]
So, we have:
[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]
[tex]s= \sqrt{\frac{4936}{18}}[/tex]
[tex]s= \sqrt{274.22}[/tex]
[tex]s= 16.56[/tex]
Solving (d): Square root of n
[tex]\sqrt n = \sqrt 6[/tex]
[tex]\sqrt n = 2.45[/tex]
Solving (e): SEM
This is calculated as:
[tex]SEM = \frac{s}{\sqrt N}[/tex]
[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]
[tex]SEM = \frac{47}{4.07}[/tex]
[tex]SEM = 11.55[/tex]
Write the equation of the line in fully simplified slope intercept form
Answer: right of the picture
Step-by-step explanation:
1. Two walls of a room or being painted each measure 16 6/2' how many square feet will be painted
2. A rectangular canvas covers 225 inches on a wall if the canvas has a height of 18 inches then what is the base
Answer:
3.167 ft²
12.5 inches
Step-by-step explanation:
1.)
Measure of each wall : 16 6/2 '
Number of walls = 2
Total area to be painted :
16 6/2' * 2 = (16 + 3) * 2 = 19 * 2 = 38 inches
1 feet = 12 inches
x = 38 inches
12x = 38
x = 38 / 12 = 3.167 ft²
2.)
Area of rectangular canvas = 225
Height = 18
Base, b =?
Area of rectangle = height * base
225 = 18 * b
225 / 18 = 18b / 18
12.5 = b
Base = 12.5 inches
The graph of a sine function is shown. Plot the line that represents the midline of this periodic function.
Answer: The midline should be a horizontal one, at y=4
Step-by-step explanation: See above answer.
Midline of the periodic function given in the picture will be y = 4.
Mid-line of the periodic function: Midline of a periodic function is the line located half-way between the maximum and the minimum values.
From the graph attached in the question,
Maximum value of the periodic function → y = 5
Minimum value of the function → y = 3
Midline of the function → [tex]y=\frac{3+5}{2}[/tex] ⇒ y = 4
Therefore, midline of the periodic function given in the picture will be y = 4.
Learn more about the midline of the periodic function here,
https://brainly.com/question/11749227?referrer=searchResults
find the unknown sizes of angle in the following figures
Answer:
each missing angle is 120°
Step-by-step explanation:
What you have is a kite so the two missing angles are equal.
The sum of all four angles = 360°
2y = 360° - 88° - 32° = 240°
y = 120°
Area of composite shapes!!
Answer:
Step-by-step explanation:
Divide it into a 3-by-3 square and a right triangle with legs that are 3 and 4.
area of square = 3² = 9 units²
area of triangle = ½×4×3 = 6 units²
total area = 9+6 = 15 units²