Answers
Answer:
6 weeks
Step-by-step explanation:
You can use linear equations to find this out.
y is the total amount saves, x is the number of weeks.
Jade's equation: y = 5x + 0 (the 5 is how much she will save each week, the 0 is how much she has now, or the initial value.)
Enrique's equation: y = 3x + 12 (the 3 is how much he will save each week, the 12 is how much he has now, or the initial value.)
You can set up a table, or you could enter it in your calculator.
After entering the equations in my calculator, I found that the x value of 6 was when both equations had the same y value. So after 6 weeks, both of them had saved 30 dollars.
Related Questions
prove that 7 + 3 root 2 is not a rational number
Answers
Answer:
Step-by-step explanation:
let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)
Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.
Answer:
Prove by contradiction.
See below.
Step-by-step explanation:
Assume it is rational, then:
Let x = 7 + 3√2 = p/q where p and q are integers and p/q is in simplest form.
x^2 = 49 + 42√2 + 18 = p^2/q^2
67q^2 = p^2 - 42√2q^2
67q^2 - p^2 = -42√2 q^2
67q^2 - p^2 is rational and q^2 is rational so that makes -42√2 rational.
but we know that -42√2 is irrational, so our original assumption is not true.
Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20
Answers
Answer:
It is a solution, one of an infinite number of solutions.
Step-by-step explanation:
You can check to see if the given point is in the solution set:
4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes
-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes
The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.
Write log8 16= 4/3
in exponential form
Can I just get the formula? I don’t remember it
Answers
Answer:
16 = [tex]8^{\frac{4}{3} }[/tex]
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{8}[/tex] 16 = [tex]\frac{4}{3}[/tex], then
16 = [tex]8^{\frac{4}{3} }[/tex] ← in exponential form
Expand
3m (m +1)
???????????????
Answers
Answer:
3m^2+3
Step-by-step explanation:
Step 1: First you have your equation or something.
3m (m+1)
Step 2: You multiply the parenthesis with the number.
Step 3: Then 3m to the parenthesis if you have 3m and m will convert to m^2.
Step 4: Your answer would be 3m^2+3
Answer:
So you solve it .... 3m^2+ 3m
Step-by-step explanation:
What is the period of this graph?
Answers
Answer:
Period is time between the two peaks.
Period = 4.114 - 1.870
Period = 2.244 seconds
Step-by-step explanation:
Answer:
p=2.244 and b = 2.8
Step-by-step explanation:
edge 2023
According to a recent New York Times poll, 25% of the public have responded to a telephone call-in
poll. Based upon this information, what is the probability that exactly two people out of a randomly
chosen group of five people have responded to a telephone call-in poll? Round your answer to the
nearest thousandth (3 decimal places).
Answers
Answer:
Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.
Step-by-step explanation:
We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.
Also, five people have people have been randomly selected.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 5 people
r = number of success = exactly two
p = probability of success which in our question is probability that
public have responded to a telephone call-in poll, i.e; p = 25%
Let X = Number of people who have responded to a telephone call-in poll
So, X ~ Binom(n = 5, p = 0.25)
Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)
P(X = 2) = [tex]\binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}[/tex]
= [tex]10 \times 0.25^{2} \times 0.75^{3}[/tex]
= 0.264
Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.
The probability of exactly two people responding is 0.262 in this case.
Explanation:To calculate the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll, we need to use the binomial distribution formula. The formula is: P(X=k) = C(n, k) * p^k * (1-p)^(n-k), where P(X=k) is the probability that k people responded, C(n, k) is the number of ways to choose k people out of n, p is the probability of success (25% in this case), and n is the number of trials (5 in this case).
Plugging in the values: P(X=2) = C(5, 2) * (0.25)^2 * (0.75)^(5-2)
Simplifying and calculating, we get: P(X=2) = 10 * 0.0625 * 0.421875 = 0.26172
Rounding to the nearest thousandth, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is approximately 0.262.
Learn more about Calculating probability here:https://brainly.com/question/33594301
#SPJ11
Matt has $900 in a checking account, has $15,000 in investments, owns an
$8000 car, and owns a $30,000 house. What is the total value of his large
assets
Answers
The total value of Matt's large assets, which include his investments, car, and house, adds up to $53,000.
Explanation:The student is asking about calculating the total value of large assets that Matt owns. To find this, we add up the value of the investment, car, and house as these are considered large assets. The checking account is generally not included in large assets, as it is considered liquid cash rather than an asset of substantial value like property or investments.
Investments: $15,000Car: $8,000House: $30,000We calculate the sum of these amounts to get the total value of Matt's large assets:
$15,000 + $8,000 + $30,000 = $53,000
Therefore, the total value of Matt's large assets is $53,000.
Heather is making two different pies if the first pie needs 6.25 cups of flour and the second pie needs 4.5 cups of flour how much flour will heather need in all
Answers
Answer:
The answer is 9.75
Step-by-step explanation:
6.25
4.50
Equals 9.75
You have to add a 0 after the 5 in 4.5 because the 5 is in the tenths place.
Sorry if it isn’t right, that’s how I was taught.
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. I need four reasons this is an example of a binomial experiment.
Answers
Answer:
1. There are a fixed number of trials
2. There are two outcomes: success (getting a 4) and failure (not getting a 4)
3. You know the probability of success and it is the same for each trial
4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.
Step-by-step explanation:
Find the value of (5n+3)-(2n-5)when n=4
Answers
Answer:
F(n) = (5n + 3) - (2n - 5)
F(4) = (5*4 + 3) - (2*4 - 5)
= 20 + 3 - 8 + 5
= 20
Hope this helps!
:)
Answer:
20
Step-by-step explanation:
(5n+3)-(2n-5) =
= (5×4+3) - (2×4-5)
= (20+3) - (8-5)
= 23 - 3
= 20
26 out of 48 books are small. What percentage of the books are small?
Answers
Answer:
54.16%
Step-by-step explanation:
The percentage of books that are some is 54.16 %
In order to find that answer you would have to calculate the total number of small books (26) over the total number of all of the books (48).
The equation would be 26/48=0.5416 however Multiply that answer by 100 and you would get 54.16% and if you want to round to the nearest whole number it would just be 54%
Two angles in a triangle measure 28° and 939. What is the measure of the third angle?
59
87
121
152
Answers
Find the value of x in the triangle above
Answers
Answer: x = 8
Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.
The area of a kite ABCD is 72cm2 and one diagonal is 18cm long. Find the length of the other diagonal.
Answers
Answer:
8cm
Step-by-step explanation:
1/2 × 18b = 72
9b = 72
b = 72/9
b = 8
Answer:
Answer:
8 cm
Step-by-step explanation:
1/2 × 18 b = 72
9 b = 72
b = 72/9
b = 8
need answer 1-4 please worth 30!
Answers
Can someone please help
Answers
Answer:
C
Step-by-step explanation:
We need to use the distance formula, which says that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is:
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, the two points are (-2.5, 4.5) and (4.75, 4.5), so:
d = [tex]\sqrt{(4.75-(-2.5))^2+(4.5-4.5)^2}=\sqrt{(7.25)^2+(0)^2}=7.25[/tex] = 7 1/4
The answer is C.
Answer:
7¼ units
Step-by-step explanation:
Since the y-coordinate is the same, the two points lie on the same horizontal line
No vertical distance
Only horizontal distance of:
4¾ - (-2½)
4.75 + 2.5
7.25 units
Or
7¼ units
Which transformation did NOT take place?
Answers
Answer:
C
Step-by-step explanation:
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answers
Answer:
8(7+4) (C.)
Step-by-step explanation:
What is the biggest number that goes into 56 and 32?
8!
So then you have to divide both numbers by 8 like so:
[tex]56/8 + 32/8[/tex]
and put the 8 on the outside...
8(7+4)
WILL GIVE BRAINLIEST!
Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.14 0.18 0.22 0.54
Grade 9 0.17 0.24 0.05 0.46
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
A) In Grade 8, 14 students liked swimming.
B) In Grade 9, 31% of students liked swimming.
C) In Grade 8, 22% of students liked volleyball.
D) In Grade 9, 5 students liked volleyball.
Answers
Answer:
In Grade 8, 22% of students liked volleyball.
Step-by-step explanation:
I toke the exam
How many one-third cubes are needed to fill the gap in the prism shown below?
A prism has a length of 4 and two-thirds, height of 2, and width of 4. 16 blocks are inside of the prism.
4
8
16
24
Answers
Answer:
The answer is 16 I've seen this before so I would know. and your welcome
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Find the equation of the line that has slope of 7 and passes through the point (-9,2).
Answers
Answer:
y=7x+65
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:
y=7x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-9,2). When x of the line is -9, y of the line must be 2.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).
So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.
The equation of the line that passes through the point (-9,2) with a slope of 7
is
y=7x+65
Have a nice day!
Nara got two new plants for her apartment. Each plant grew at a constant rate.
The height (in centimeters) of the first plant as a function of time (in days since Nara got it) is given by the following table of values:
Time\text{Time}Timestart text, T, i, m, e, end text (days) Height\text{Height}Heightstart text, H, e, i, g, h, t, end text (centimeters)
10 34
15 36
20 38
The graph of the height (in centimeters) of the second plant as a function of time (in days since Nara got it) is shown below.
Which plant was taller when Nara got the plants?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first plant
(Choice B)
B
The second plant
(Choice C)
C
They were equally tall
Which plant grew faster?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first plant
(Choice B)
B
The second plant
(Choice C, Checked)
C
They both grew at the same rate
Answers
Answer:
Which plant was taller when Nara got the plants? C. They were equally tall
Which plant grew faster? B. The second plant
Step-by-step explanation:
Slope of the first plant :
m = (y2 - y1)/(x2- x1)
m = (36 - 34)/(15 - 10) = 0.4
y-intercept of the first plant :
y = m*x + b
b = y1 - m*x1
b = 34 - 0.4*10 = 30
From the picture we can see that the y-intercept of the second plant is 30 cm
Y-intercept represents plant heights when Nara got the plants; then they were equally tall
From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1
Slope measures how fast each plant grew; then the second plant grew faster
Steve is making a circular shield with a radius of 11 inches for a school play. What approximate length of cardboard does he need to make the outer border of the shield?
Answers
Step-by-step explanation:
It is given that, Steve is making a circular shield with a radius of 11 inches for a school play. We need to find the length of cardboard he need to make the outer border of the shield. It means that we need to find the circumference of the circular shield of radius 11 inches.
So,
[tex]C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}[/tex]
So, he will need 69.08 inches of cardboard to make the outer border of the shield.
A restaurant noted what type of food its customers purchased last week. Here are the results:
Burger
Fries
15%
55%
10%
20%
In this sample, are the events "burger" and "fries" mutually exclusive?
Answers
Answer:
No, they are not mutually exclusive because a customer can purchase a burger and fries together.
Step-by-step explanation:
Mutually exclusive events are events that cannot occur at the same time, e.g. I cannot sleep while running. In the case of a restaurant, you could consider purchasing pizza and burgers as mutually exclusive since most people would only purchase one of them (unless they eat a lot). But burgers and fries are not mutually exclusive because people can purchase them together.
Suppose a number cube is rolled twice. what is the probability that an odd number will show both times?
Answers
Answer:
1/4 or 25%Step-by-step explanation:
Suppose half on numbers are odd, then for each roll the probability is 1/2
So for two rolls the probability is:
1/2*1/2 = 1/4 or 25%1.) What four-digit number has a digit 2 smaller than digit 4 which is two thirds of digit 1 which is two thirds of digit 3 which is three times digit 2?
2.) What number comes next in this sequence:
917452; 97452; 9745; 975; _ ; _ ?
Answers
Answer:
i dont know the first one but the second one is 97
Step-by-step explanation:
the lowest digit gets dropped
Answer:
1) 6394
2) 97, 9
Step-by-step explanation:
1)
WXYZ
X < Z
Z = ⅔W
W = ⅔Y
Y = 3X
W = ⅔(3X) = 2X
Z = ⅔(2X) = (4/3)X
X has to be a multiple of 3
If X = 3,
Y = 9
Z = 4
W = 6
WXYZ
6394
2)
917452; 97452; 9745; 975; _ ; _ ?
Just remove the smallest digit to get the next terms
97, 9
ANSWER QUICKLY ASAP.
Answers
(4, 4) and (8, 8)
:D
Which of the following is an expression for” twice a number n divided by 3” A. 2/3n B. 2n/3 C. 2+n/3 D. n2/3
Answers
Answer:
B) 2n/3
Step-by-step explanation:
twice a number n = 2 * n = 2n
divided by 3 = 2n/3
Answer:
d
Step-by-step explanation:
What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)º
Answers
Answer:
72
108
Why?
It came back as correct
If another 10-year old were to join the baseball team shown in the scatter plot below, what is the best estimate for his height?
A.) 55 in
B.) 64 in
C.) 58 in
D.) 60 in
Answers
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation: