Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
Learn more about similar triangles here:
https://brainly.com/question/25882965
#SPJ2
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?a line passes through the points (4, -1) and (2, 3), what is the slope of the line?
A, 2
B, 1/2
C. -1/2
D. -2
The right answer is -2.
please see the attached picture for full solution..
Hope this helps..
Good luck on your assignment
Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition
Step-by-step explanation:
A truck traveling at 36 m/s heads out of town going west. How long
does it take to go 5.2 km?
Jordan was looking for a cheap cell phone plan.
Plan A charges $10 monthly fee plus $0.25 per text
Plan B charges $6 monthly fee plus $0.35 per text
If she wants the plan for 5 months and sends 100 texts which plan would be the cheapest? Explain
Answer: Plan B
Step-by-step explanation:
First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months
Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .
Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65
Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4
9514 1404 393
Answer:
(b) 8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4
Step-by-step explanation:
Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.
The appropriate choice on this list appears to be the second choice.
_____
Comment on the problem
In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.
Answer:
B
Step-by-step explanation:
i am smart
Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds
Answer:
1.1
Step-by-step explanation:
7.2-6.1
What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2
Answer:
The result is 2x + 2y - 73 = 2.
how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?
Answer:
=1.8
Step-by-step explanation:
R= Square root of volume/pie*height
R= 100/3.142*10
=100/31.42
=3.18
the square root of 3.18 is 1.78
1.78 rounded to the nearest tenth is 1.8
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
This is for adding and subtracting polynomials, word problems. I have real difficulty with word problems in math, so please help me!
please see the attached picture for full solution
Hope it helps..
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
What is the following sum in simplest form?
√8 + 3 √2+ √ 32
A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32
Answer:
C. 9√2.
Step-by-step explanation:
√8 + 3 √2+ √ 32
= √4 *√2 + 3√2 + √16*√2
= 2√2 + 3√2 + 4√2
= 9√2.
Find an equation of the line containing the given pair of points (4,1) and (12,7)
Answer:
Y = 3/4 X -2
Step-by-step explanation:
Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.
Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
HELP! WILL GIVE BRAINLIEST!
Answer: The answer is A
Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.
Fully explain the solution set to the equation below.
1x = -1
Answer:
The answer for x should equal: -1.
Step-by-step explanation:
To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.
vvggggggfgfffgggtttt
Answer:
B
Step-by-step explanation:
The farmer plants 195 rows of beets and has 25 beet plants left over
Answer:
The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.
Step-by-step explanation:
WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?
Step-by-step explanation:
ETA ES LA FÓRMULA:
x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6
how do i calculate the first quartile and the third quartile???
!!!please help!!!
Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99
Step-by-step explanation: Ok, so let's put the data set from least to greatest....
(63, 63, 76,) (77, 79,) (84, 99, 99)
First Quartile Third Quartile
First, let's find the median, since you made a little mistake...
77 + 79 = 156
156 ÷ 2 = 78
The median is 78!
Now, let's determine the first quartile and the third quartile.
For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...
First Quartile: 63
Third Quartile: 99
I hope this helps!
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Help!!!
Point A(-5,8) is reflected across the line y = x. What are the coordinates of A’?
Show your work an explain!
Answer:
(8, -5)
Step-by-step explanation:
When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
I NEED HELP QUICK! PLEASE
Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
Solve |x|=5
A{-5}
B{5}
C{-5,5}
Answer:
[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]
C is your answer
Step-by-step explanation:
[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]
The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760
Answer:
750
Step-by-step explanation:
Applying for credit from any place pulls your credit report. When your credit report is pulled, your score decreases some.
However, this will not have a large effect on your score, so 750 would most likely be the new score.
Getting a store credit card affects the credit score a little bit, so the answer would likely be D.
please mark brainliest :)
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
noA shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)
Answer:
20 %
Step-by-step explanation:
four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts
P(red) = number of red shirts / total
= 2/10
= 1/5
=20 %
Answer:
10%
Step-by-step explanation:
4 blue
2 green
2 gray
1 white
1 red
4 + 2 + 2 + 1 + 1 = 10
each t-shirt = 10 percent
so 1 red t-shirt = 10%
