Answer:
1/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3/4-2)/(1-19/4)
m=(3/4-8/4)/(4/4-19/4)
m=(-5/4)/(-15/4)
m=(-5/4)(-4/15)
m=20/60
m=2/6
m=1/3
Answer:
1/3
Step-by-step explanation:
A campus apartment has two bedrooms and two attached bathrooms and rents for $1,025 per month plus an average of $60 per month for electricity. You are a student and would have the option of splitting the rent with a fellow student 60/40. You pay 40% as your name is on the lease. Your scholarship gives you $700 per month for housing. What can you save above your out of pocket housing cost with your scholarship and your roommate's contribution in an Academic Year (8 months).
I can save $2,128 in my academic year and my roommate can save $392 in their academic year.
Step-by-step explanation:
Total housing amount= rent + electricity= $1,025 + $60= $1,085 per month
My rent is 40% of $1,085 which equals $434 a month while my roommate’s rent would be 60% of $1,085 which equals $651 a month.
The scholarship gives me $700 a month for housing out of which I spend $434 and my roommate spends $651.
I save; $700 - $434 = $266 a month
My roommate saves; $700 - $651 = $49 a month.
An academic year lasts for 8 months so my savings= $266 x 8 = $2,128
My roommate’s savings= $49 x 8 = $392
Answer:
$2,128
Step-by-step explanation:
Expenses is allocated based on the decided ratios. Expenses and Inflows
Expenses will be calculated for 8 Months time period.
Rent = 1,025 x 8 months = $8,200
Electricity Expense = $60 x 8 = $480
Total Expense = $8,200 + $480 = $8,680
Total Scholarship = $700 x 8 = $5,600
Out of Pocket Cost = $8,680 x 40% = $3,472
Saving is the difference between The scholarship received and the Expenses made from pocket.
Saving = $5,600 - $3,472 = $2,128
Choose a method to solve the following system of equations. Explain why you chose that method.
Solve.
y = 2x + 7
y = -2x - 5
I have been trying to figure it out but idk.
Answer:
The values for the two equations are x=-3 and y=1
Therefore the solution is (-3,1)
Step-by-step explanation:
Given equations are [tex]y=2x+7\hfill (1)[/tex]
[tex]y=-2x+5\hfill (2)[/tex]
To solve the given equations by Substitution method :
We are using here to solve the given equations by Substitution method because equations (1) and (2) are equivalent ( it has same solution )
Therefore we can equate the two given equations or substitute the y value equation (1) in (2) we get
2x+7=-2x-5
Subtracting with -(2x-5) on both sides we get
2x+7-(-2x-5)=-2x-5-(-2x-5)
2x+7+2x+5=-2x-5+2x+5
4x+12=0 ( adding the like terms )
4x=-12
[tex]x=-\frac{12}{4}[/tex]
Therefore x=-3
Now substitute the value x=-3 in equation (1) we get
y=2(-3)+7
y=-6+7
Therefore y=1
The values are x=-3 and y=1
The solution is (-3,1)
I need help please because it’s like 11pm at night and I am so tired and I have to wake up at 5am tomorrow so can someone please help me so I can go to sleep PLEASE i will give you a thanks and 8 points just PLEASE HELP ME
Answer:
She is not correct.
Step-by-step explanation:
If she originally purchases the teas for $100 and then she marks the price up 20%, the retail price would then be 100 + 0.20(100) = 100 + 20 = 120. The sales price would then be 120 - 0.2(120) = 120 - 24 = 96. This is less than the purchase price, so she is losing money, rather than gaining.
I hope this helps. If you download an app called Slader, it has the same math book you are using with the answers.
[tex]\frac{k}{3} -2k +4 =10[/tex]
Answer:
fraction > -18/5
dec> -3.6
Step-by-step explanation:
What is the answer to 5% of $30
Answer: $1.50
Step-by-step explanation: To find 5% of $30, first write 5% as a decimal by moving the decimal point 2 places to the left to get .05. Next, "of $30" means times 30 so we multiply .05 times 30 which gives us 1.5.
Finally, remember that we want to write our answer in terms of dollars so 1.5 dollars is the same thing as $1.50.
So 5% of $30 is $1.50.
PLEASE HELP! WILL GIVE 70 POINTS!!
What is the surface area of the right triangular prism below?
Answer:
[tex]A=189\ mm^2[/tex]
Step-by-step explanation:
Surface Areas
Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.
Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is
[tex]\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2[/tex]
The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus
[tex]A_f=b.h=(7.5)(9)=67.5 \ mm^2[/tex]
The back left area is another rectangle of 4.5 mm by 9 mm
[tex]A_l=b.h=(4.5)(9)=40.5 \ mm^2[/tex]
Finally, the back right area is a rectangle of 6 mm by 9 mm
[tex]A_r=b.h=(6)(9)=54 \ mm^2[/tex]
Thus, the total surface area of the prism is
[tex]A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2[/tex]
[tex]\boxed{A=189\ mm^2}[/tex]
Use the relationship between the angles in the
figure to answer the question.
Which equation can be used to find the value
of x?
Drag and drop the equation into the box.
The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.
The answer would be x = 180 - (67 + 52)
5
Tom and Dipak share $114 in the ratio 7:5
Work out how much Dipak gets.
Answer:
Step-by-step explanation:
Tom and Dipak share $114 in the ratio 7:5
Total amount shared = $114
Ratio of Tom to Dipak = 7:5
Total ratio = 7+5 = 12
Dipak got = 5/12 × $114 = $ 47.5
Factor the following trinomials:
a) x^2 -2x -1
b) x^2 -3x+1
Final answer:
To factor the trinomials x^2 - 2x - 1 and x^2 - 3x + 1, you can use the quadratic formula or factoring by grouping.
Explanation:
To factor the trinomials x^2 - 2x - 1 and x^2 - 3x + 1, we can use the quadratic formula or factoring by grouping.
a) For x^2 - 2x - 1, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac))/(2a)
Plugging in the values, we have:
x = (-(-2) ± sqrt((-2)^2 - 4(1)(-1)))/(2(1))
x = (2 ± sqrt(4 + 4))/(2)
x = (2 ± sqrt(8))/(2)
x = (2 ± 2sqrt(2))/(2)
x = 1 ± sqrt(2)
Therefore, the factored form is: x^2 - 2x - 1 = (x - (1 + sqrt(2)))(x - (1 - sqrt(2)))
b) For x^2 - 3x + 1, we can also use the quadratic formula:
x = (3 ± sqrt(3^2 - 4(1)(1)))/(2(1))
x = (3 ± sqrt(5))/(2)
Therefore, the factored form is: x^2 - 3x + 1 = (x - (3 + sqrt(5))/(2))(x - (3 - sqrt(5))/(2))
a) x^2 - 2x - 1 = (x - 1)(x + 1)
b) x^2 - 3x + 1 = (x - 1)^2
a) x^2 - 2x - 1:
This trinomial is in the form ax^2 + bx + c. To factor it, we need to find two numbers that:
Multiply to ac (in this case, 1 * -1 = -1).
Add up to b (in this case, -2).
These two numbers are -1 and 1.
So, we can rewrite the trinomial as:
(x - 1)(x + 1)
Therefore, the factored form of x^2 - 2x - 1 is (x - 1)(x + 1).
b) x^2 - 3x + 1:
This trinomial is also in the form ax^2 + bx + c. To factor it, we need to find two numbers that:
Multiply to ac (in this case, 1 * 1 = 1).
Add up to b (in this case, -3).
These two numbers are -1 and -1.
So, we can rewrite the trinomial as:
(x - 1)(x - 1)
However, it is common practice to simplify repeated factors, so the fully factored form of x^2 - 3x + 1 is (x - 1)^2.
The numbers 19 and 28 are rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 19 × 28 based on this method?
200
300
600
900
Answer:
600
Step-by-step explanation:
you round up 19 to 20 then you round up 28 to 30 and multiply 20 and 30
Answer:
20*30
= 600
About 600
C
Write an equation that relates the angles in a triangle.
9. The measure of angle A is 45 degrees. The measure of angle B is b
degrees. The measure of angle C is 3b degrees.
_________________________________________________________________________________________
10. The measures of angles X and Y are the same, x degrees. The
measure of angle Z is twice the measure of angle Y.
_________________________________________________________________________________________
Step-by-step explanation:
9.
Given that, the measure of [tex]\angle A[/tex] is [tex]45^\circ[/tex]. The measure of [tex]\angle B[/tex]is [tex]b^\circ[/tex]. The measure of[tex]\angle C[/tex] is [tex]3b^\circ[/tex] .
We know that the sum of all angles of triangle is [tex]180^\circ[/tex].
Therefore
[tex]45^\circ + b^\circ +3b^\circ =180^\circ[/tex]
⇔[tex]4b^\circ[/tex] = [tex]135^\circ[/tex]
10.
Given that , the measure of [tex]\angle X[/tex] and [tex]\angle Y[/tex]are same [tex]x^\circ[/tex]. The angle of [tex]\angle Z[/tex] is twice the measure of [tex]\angle Y[/tex].
∴[tex]\angle X[/tex]+[tex]\angle Y[/tex]+[tex]\angle Z[/tex]=[tex]180^\circ[/tex]
⇔[tex]x^\circ[/tex]+[tex]x^\circ[/tex]+2[tex]x^\circ[/tex]=[tex]180^\circ[/tex]
⇔4[tex]x^\circ[/tex]= [tex]180^\circ[/tex]
What fraction represents the integer 4 ?
Answer:
Step-by-step explanation:
multiples of 4
12/3 = 4
16/4 = 4
4/1 = 4
24/6 = 4
36/9 = 4
The integer 4 can be represented as a fraction by placing it over 1. Therefore, the fraction that represents the integer 4 is 4/1 and it is already in its simplest form.
Explanation:The integer 4 can be represented as a fraction simply by placing it over 1. Hence, the fraction equivalent of the integer 4 is 4/1. However, it's noteworthy to mention that a fraction can be simplified when the numerator and the denominator have a common factor, other than 1. In this case, there are no other common factors between 4 and 1, so it is already in its simplest form.
Learn more about Fraction Representation here:https://brainly.com/question/33445752
#SPJ11
what is the final elevation if a driver starts at 5 m and changes -16 m?
Answer:
- 11 m elevation.
Step-by-step explanation:
The driver starts at an elevation of 5 m and he drives to get a change in elevation by - 16 m.
There is no doubt that the driver drives down to the negative elevation.
So, the driver first reaches the zero elevation then drives towards negative elevation.
Now, the final elevation of the driver will be at (5 - 16) m = - 11 m. (Answer)
[50 POINTS!!!] HELP!
Solve This Logarithm. Find X. Please Type Steps!
Answer:
x = 15Step-by-step explanation:
[tex]\text{Domain:}\ x>0\\\\\log_83+\dfrac{1}{2}\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^\frac{1}{2}=\log_8x\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_83+\log_8\sqrt{25}=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D[/tex]
Answer:
Your answer would be x = 15
I hope his helped and have a wonderful day!
~Real
A dollar store sells items for $1 and $2. You plan to go there and spend at least $20. Let eggs stand for the number of one dollar items and Y stand for the number of two dollar items. Right and gravity linear any quality that models the solution.
Answer:
Step-by-step explanation:
y=5x=10
Sarah has a collection of nickels, dimes, and quarters worth $9.25. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?
Answer:
See image attached.
Step-by-step explanation:
Final answer:
The initial setup for the equation based on the coin values and the total amount led to an incorrect result with a negative number of nickels. This suggests there was an error in the calculations or assumptions, and the equation should be revisited and the numbers checked to find the correct number of each type of coin.
Explanation:
Let's call the number of nickels Sarah has n. According to the problem, Sarah has 10 more dimes than nickels, which means she has n+10 dimes. It is also given that she has twice as many quarters as dimes, making it 2(n+10) quarters. In terms of their values, nickels are worth 5 cents, dimes are worth 10 cents, and quarters are worth 25 cents. The total value of Sarah’s coins is $9.25, which is equivalent to 925 cents.
To find the number of each coin, we can set up the following equation:
5n + 10(n+10) + 25(2(n+10)) = 925
Simplifying the equation:
5n + 10n + 100 + 50n + 1000 = 925
65n + 1100 = 925
65n = 925 – 1100
65n = -175
n = -175 / 65
n = -2.6923
This result is not possible since we cannot have a negative number of coins. It seems there was an error in the calculations or assumptions. It is important to check the equation and numbers we're using to ensure they properly represent the coin values and the total amount.
Find the product
729 x 82
Answer:
59,778
Step-by-step explanation:
The product of 729 and 82 is calculated through standard multiplication, resulting in a final product of 59,778.
Explanation:The student is asking to calculate the product of two numbers, 729 and 82. To find the product, we can use basic multiplication skills. Here is the step-by-step calculation:
First, set up the multiplication:
Next, multiply 2 by each digit of 729 and write the result below the line.
Then, multiply 8 by each digit of 729, remember to shift one place to the left.
Now, add both results to get the final
product
.
The final product of 729 multiplied by 82 is 59,778.
https://brainly.com/question/5992872
#SPJ2
10 4 3
what is 28n + 12n - 24n= show answer plz it is facortoring ou the greatest common factor
Answer:
4n(7+3-6)
Step-by-step explanation:
28n 12n . 24n
14 . 2 . 6 . 2 12 . 2
7 . 2 . 2 n . 3 . 2 . 2 n . 6 . 2
7 3 3 . 2 . 2 . 2 n
3x2=6
2x2xn=4n
GCF=4n
Answer:
16n
Step-by-step explanation:
The sum of 5 times a number and 4 is equal to 6
Answer:
5(x+4)=6
5 times a number and (+) 4 is equal to 6.
A recipe for 5 batches of bagels uses 15 cups of flour. Ciro wants to know how many cups are needed for 1 batch. Johanna wants to know how many cups she will need to make 20 batches. Drag an expression to answer each question.
Expressions:
15 × 4
5 × 4
20 ÷ 5
15 ÷ 5
20 – 15
20 + 5
Any help? Sorry, I'm dumb. Free 10 points I guess?
ciro needs 3 cups of flour johanna needs 20 x 15 cups
So, I think I had this for my Imagine math, so I'll help you :D
Ciro (How many cups in 1 batch):; 15 / 5 = 15 divided by 5
Johanna (How many cups for 20 batches):; 15 x 4 = 15 multiplied by 4
I hope this helps :)
Your phones service plan costs $10 per month and .15 cents per minute to make a call. Write an equation that represents the cost to use your phone per month
Answer:
an equation for how much your phone costs per month=
.15x+10
A gumball machine has 280 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine? A. 330 B. 230 C. 560 D. 140
Answer:
C. 560
Step-by-step explanation:
50% is one half, so there is another half of 280. 280*2=560
Answer:
C
Step-by-step explanation:
there were 18 boys and 12 girls playing dodge ball what percent of the players playing dodge ball were girls
Answer: Answer is 40%
Step-by-step explanation: The total number of players in the game is 30 (that is boys and girls added together becomes 18 + 12= 30) altogether which is a hundred percent. The percentage of girls playing the game is calculated as;
12/30 × 100%
=2/5 × 100%
=200/5
=40%
find the gratest common factor of 36 and 90
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
List your factors first to find the answer
36: 1-36, 2-18, 3-12, 4-9, 6-6
90: 1-90, 2-45, 3-30, 5-18, 6-15, 9-10
Now find in the factors which would be the greatest/largest. The largest factor shared between 36 and 90 is 18.
What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer in the space provided.
Answer:
Therefore [tex]m_{2}[/tex] = -3.
Step-by-step explanation:
i) let us say the slope of the line passing through (-2,7) and (4,9) is [tex]m_{1}[/tex].
ii) to find the slope of the line passing through two points ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) we use the formula m = [tex]\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]. Therefore we can say that [tex]m_{1}[/tex] = [tex]\dfrac{9 - 7}{4 - (-2)}[/tex] = [tex]\dfrac{1}{3}[/tex].
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is [tex]m_{2}[/tex]
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1, therefore [tex]m_{2}[/tex] = -1 ÷ [tex]m_{1}[/tex] = -3. Therefore [tex]m_{2}[/tex] = -3
6. What is the probability that the
arrow will land on a number that
is divisible by 3 if Brian spins it
one time?
---
----
A.1/8
B.1/7
C.1/4
D.1/3
Answer:
c
Step-by-step explanation:
there are two answers there divisible by three
(12 and 6) so the probability of it landing on one of them is 2/8 as there are 8 numbers altogether. 2/8 is equal to 1/4 so that's the answer
If the median of the following table is 525
Answer:
x=14
y=10
Step-by-step explanation:
The median divide the data‘s set into two parts with the same frequency = 50%
then we must have 2+5+x+12+17 = 50 ⇔ 36+x=50 then x =50-36=14
also 20+y+9+7+4=50 ⇔ y=10
Answer:
50-6=14
Step-by-step explanation:
just do the math and then you will find the answer
help please there is also another question i asked like 7 hours ago that was NEVER ANSWERED but please answer ILL MARK BRAINLIEST
Answer:
the first one would be m<EOF+m<FOB=180°,
and the second one would be 76ft
Step-by-step explanation:
supplementary angle means the angle that would make it equal 180°. if m<EOF is an acute angle then the angle that is supplementary to EOF would be obtuse, so FOB.
then for the second question, the midpoint splits the angle in HALF, so that means in order to find RT you multiply 38×2.
Which of the following sequences of transformations maps
Figure 1 to Figure 2?
90° clockwise rotation around
the origin, then a reflection
across the x-axis
90° counterclockwise rotation
around the origin, then a
reflection across the x-axis
-4
reflection across the y-axis, then
a reflection across the x-axis
reflection across the x-axis, then
a reflection across the y-axis
Answer:
First choice: 90° clockwise rotation around the origin, then a reflection across the x-axis.Explanation:
The vertices of the figure 1 are:
(-3, 2)(-4, 5)(-3, 8)(-7,5)The vertices of figure 2 are:
(2, -3)(5, -4)(8, -3)(5, -7)By simple inspection, you can tell that if you rotate the figure 1 90º clockwise and then reflect the image across the x-axys you obtain the figure 2.
You can prove that analitically.
1. Rotation 90º clockwise
A 90º clockwise reotation is the same that a 270º counterclockwise rotation and the mathematical rule for this is:
(x,y) → (y, x)Applying that rule to the vertices of figure 1, you obtain:
(-3, 2) → (2, 3)(-4, 5) → (5, 4)(-3, 8) → (8, 3)(-7,5) → (5, 7)2. Reflection across the x-axis.
A reflection across the x-axis keeps the same x-coordinate and changes the sign of the y-coordinate. The rule is:
(x,y) → (x, -y)Applying that rule to the previous points yields to:
(2, 3) → (2, -3)(5, 4) → (5, -4)(8, 3) → (8, -3)(5, 7) → (5, -7)Which are the coordinates of the figure 2. Thus, you have proved that the sequence of transformations 90° clockwise rotation around the origin, then a reflection across the x-axis (first choice) maps the figure 1 to figure 2.
Answer:
First choice: 90° clockwise rotation around the origin, then a reflection across the x-axis.
Step-by-step explanation:
Montell gets $10.50 each week for doing yard work for his neighbors. He has earned $63 so far. Write and solve an equation to find how many weeks it took for him to earn that amounts.
Answer:
10.50x = 63
You'll divide 63 by 10.50 to get 6 weeks.