Answer:
The initial value is $78
Step-by-step explanation:
Given
[tex]Base\ Amount = \$78[/tex]
[tex]Additional = \$30[/tex] (weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:
[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]
Represent number of weeks with x; So, we have:
[tex]Balance = 78 + 30 * x[/tex]
[tex]Balance = 78 + 30 x[/tex]
Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60
A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.
Answer:
B
Step-by-step explanation:
The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.
The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.
5x+3y=210
The total number of chocolate boxes will be expressed as:-
x + y = 60
Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
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Azrael and Simon are training for track. Azrael trains at a rate of 6 miles every half hour. Simon trains at a rate of 2 miles every 15 minutes. What is the unit rate in mile per hour for each runner? *
A. Azrael = 12 miles per hour ; Simon = 8 miles per hour
B. Azrael = 8 miles per hour ; Simon = 12 miles per hour
C. Azrael = 6 miles per hour ; Simon = 2 miles per hour
D. Azrael =2 miles per hour ; Simon = 6 miles per hour
Answer:
A The first one
Answer:
A
Step-by-step explanation: 30 minutes is half an hour so 6 miles is half the miles he runs an hour. Azrael runs 12 miles in an hour. 15 minutes is 1/4 of an hour. 2 is 1/4 of the miles Simon runs in an hour. 2 times 4 is 8. I'm really bad at explaining, sorry. the answer is A.
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
Eduardo's football team has won
9/10
of their games this season.
Write
9/10
as a decimal.
Write
9/10
as a percent.
Answer:
9/10=0.9
9/10=90%
Step-by-step explanation:
Answer:
[tex]\frac{9}{10}[/tex] = 0.9
[tex]\frac{9}{10}[/tex] = 90%
Hope this help!
For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _
Answer:
c
Step-by-step explanation:
Find an equation of the plane through the point (1, -4, 0) and perpendicular to the vector (5, 1, -4). Do this problem in the standard way or WebWork may not recognize a correct answer.
Answer:
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
Step-by-step explanation:
The equation of the plane through (1,-4,0) is,
a(x-1) + b(y+4) + c(z+0) = 0 ....... (1)
Again the plane is perpendicular to the vector (5,1,-4)
So, the direction ratios of the normal to the plane is proportional to the direction ratios of the vector (5,1,-4)
So, a/(5) = b/(1) = c/(-4 )
Let,a/(5) = b/(1) = c/(-4 ) = k
So, a = 5k, b = k and c = -4k
So, from (1) we have,
(5k)(x-1) + (k)(y+4) + (-4k)(z+0) = 0
Thus;
-5(x-1) -(y+4) +4(z+0) = 0
So,
-5x +1 -y-4+4z+0 =0
-5x - y +4z -3 = 0
-5x - y +4z = 3
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
Determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)
a
1 and 1 over 10
b
1 and 5 over 9
c
2 and 2 over 9
d
2 and 4 over 5
Answer:2 2/9
Step-by-step explanation: 4/3 x 5/3= 20/9= 2 2/9
HELP ME NOW PLEASE! WILL GIVE BRAINLY!!!!!!!!!!!!!!!! PLUS 30 POINTS
Faith is driving to a concert and needs to pay for parking. There is an automatic fee of $7 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Faith have to pay for parking if she left her car in the lot for 3 hours? How much would Faith have to pay if she left her car in the lot for tt hours?
Cost for 3 hours:
Cost for tt hours:
Answer: 13
Step-by-step explanation:
cost for 3 hours: 7+2(3)=13
cost for t hours: 7+2t
Answer:
13
Step-by-step explanation:
Rearrange the formula to solve for the cost of goods sold (C).
Answer:
Cost of goods sold = Opening inventory + Purchase - closing inventory
Step-by-step explanation:
Cost of goods sold = Opening inventory + Purchase - closing inventory
Cost of goods sold = Sales - gross profit
Cost of goods sold = Revenue – Net Income – Expenses
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023
Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $20 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles (b) he needs to put together?
Answer:
150 + 20x ≥ 330
Step-by-step explanation:
"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.
Please answer this correctly without making mistakes
Answer:
No it is too high
Step-by-step explanation:
plz mark brainliest
if my dog was born 4 weeks before August 27th how old will my dog be
Answer:
the dog was born on july 30th so the dog would be 3 months and a week old
Step-by-step explanation:
whats the sum of the numbers in the 15th row of pascals triangle
Answer:
2,3,5,7,11,and 13
Step-by-step explanation:
Hope this helped :))
The sum of the numbers in the 15th row of pascals triangle are 2,3,5,7,11,and 13
What is Pascal triangle?Pascal triangles contains coefficient of 's expanded form's terms.
Thus, 1 is the value in the first row of Pascal triangle.
The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.
For nth row, and its rth term(all counted from 0-indexing(that means, counting of index starts from 0), then that term in Pascal triangle is
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
........
The sum of row n is 2^n, thus the row number with a particular sum;
2^n = sum
n·log(2) = log(sum)
n = log(sum)/log(2)
The sum of the numbers in the 15th row of pascals triangle
2,3,5,7,11,and 13
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in which pair of figures can figure A be taken to figure B by a rotation
Answer:
Pair 1
Step-by-step explanation:
if the shape A rotated 180 degrees it would reach shape B
If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
On origin there is No effect as we assumed rotation is being with respect to origin.
Therefore, if the shape A is rotated 180 degrees then it would reach shape B.
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What is the following product?
RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot
4 (RootIndex 4 StartRoot 4 EndRoot)
4 StartRoot 7 EndRoot
74
7
Answer:
the answer A .4 (RootIndex 4 StartRoot 4 EndRoot)
Step-by-step explanation:
The product of the radical is [tex]50176\sqrt{7}[/tex]
Multiplication of RadicalData:
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]To multiply the given radical, we can start by solving
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]
We should know that multiplying two identical radicals will give just one of the entity.
[tex]\sqrt{x} * \sqrt{x} = x\\x\sqrt{y} * x\sqrt{y}= (x*x)\sqrt{y}=x^2\sqrt{y}[/tex]
Using this system, we can solve the giving problem.
Let's multiply this through and get the final answer.
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7} = 50176\sqrt{7}[/tex]
The product of the radical is [tex]50176\sqrt{7}[/tex]
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The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
Answer: 96
Step-by-step explanation:
According to the fundamental principle of counting:
Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)
If there is a restriction to choose between appetizer and dessert.
Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) + (Choices for soups) x (Choices for main courses) x (Choices for desserts)
= 6 x 2 x 4 + 2 x 4 X 6
= 48+48
= 96
Hence, the number of three-course meals are possible= 96
Answer:
96?
Step-by-step explanation:
A bag contains 28 colored marbles. There are 5 blue marbles, 9 red marbles, 11 yellow
marbles, and 3 clear marbles. What is the ratio of red marbles to yellow marbles?
Answer:
9:11
Step-by-step explanation:
9 red marbles to (or ":") 11 yellow marbles
Answer:
9/11
Step-by-step explanation:
because a ratio is a comparison between two numbers by division.
How much would $700 invested at 3% interest compounded annually be worth after 10 years
Answer: $940.74
Step-by-step explanation: Use the Calculator provided on money chimp or you can look up the formula. I like using the calculator
can some help me???????
HELP! write y+4 =-2/3(x-9) in standard form
Answer question 9 plz its a test and i will mark u brainliest
Give me a highly detailed explanation of the answer to the equation of 1+1.
Let's solve this question as simply as we can
Step 1:
Add your odd numbers which is one with one
There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.
ex. 1 divided by 2 = 0.5
Step 2:
Now after adding our odd number you should turn up with an even number which we know as two.
Even numbers can be divided by 2
ex. 2 divided by 2 = 1
Answer is = 2
The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?
Answer:
13 1/3
Step-by-step explanation:
10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3
sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .
Answer:
13 1/3
Step-by-step explanation:
I need some help please
my answer is the one below but I'm not sure pls give work
the sum of three times x and 33
Answer:
3x+33
Step-by-step explanation:
This is if you are just looking for an expression.
At the middle school Vanessa attends, there are 240 Grade 6 students, 210 Grade students, and 200 Grade 8 students. Which ratio best compares the number of tudents in Grade 8 to the number of students in Grade 6 at Vanessa's school? A 5:6 ® 5:11 © 6:5 07:8
Answer:
A, 5:6
Step-by-step explanation: :)
Answer:
YAH IM CONFUSEDDD
Step-by-step explanation:
Help
Find the missing segment
Answer:
62
because 14 is twice more than 8
so 24 * 2 = 48
and 48 + 14 = 62
most likely 62