Answer:
x = 10
Step-by-step explanation:
Original Equation:
15 = 3x - 15
Add 15 to both sides
30 = 3x
Divide both sides by 3
10 = x
Hope this helped :)
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x = 10
All you have to do is add 15 to both sides, and you have
30 =3x
and divide by 3
you get
10 = x
You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jeans, 39.99; Discount, negative 10.00; Subtotal, 29.99; Sales Tax, 1.95; Total, 31.94. The line at the bottom reads, Thank You. a. What is the percent of discount to the nearest percent? The percent of discount is %. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is %. c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is %.
Answer:
25%
6.5%
35%
Step-by-step explanation:
Given the invoice :
Bill for a pair of Jean
Jeans ______39.99
Discount ___ - 10.00
Subtotal ____ 29.99
Sales tax ____ 1.95
Total _______ 31.94
A) % of discount to the nearest %
Discount amount = % discount * price
10 = x% * 39.99
10/39.99 = x%
0.2500625 = x%
x = 0.2500625 * 100%
% discount = 25%
% of sales tax:
Sales tax amount = % tax * Subtotal
1.95 = x% * 29.99
1.95/29.99 = x%
0.06502 = x%
x = 0.06502 * 100%
x = 6.5%
Markup before discount = 60%
Markup after discount = (60 - 25)% = 35%
Rewriting linear equation in standard form (Ax+By=C)
9514 1404 393
Answer:
9x -10y = 75
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators. Here, that is 5×3 = 15. Multiplying both sides of the equation by that gives ...
15(3/5x -2/3y) = 15(5)
9x -10y = 75
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
Suppose the parallelogram JKLM has vertices:
J (2, 1)
K (7, 1)
L (6, −3)
M (1, −3)
Write each transformation in function notation and find the new coordinates of each point.
1. J' if the parallelogram is rotated counterclockwise 270° about the origin?
2. K' if the parallelogram is rotated counterclockwise 180° about the origin?
3. L' if the parallelogram is rotated counterclockwise 90° about the origin?
4. M' if the parallelogram is rotated counterclockwise 90° about the origin?
I NEED HELP
Answer:
1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)
2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)
3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)
4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)
Step-by-step explanation:
The coordinates of the vertices of the parallelogram are given as follows;
J(2, 1), K(7, 1), L(6, -3), M(1, -3)
1. We have, for a rotation of 270° counterclockwise about the origin we have
f(x, y) = (y, -x)
Therefore, we have for the vertices;
f(J(2, 1)) = J'(1, -2)
Therefore, we have the coordinates of J' as (1, -2);
2. We have, for a rotation of 180° counterclockwise about the origin we have
f(x, y) = (-x, -y)
Therefore, we have for the vertex point K;
f(K(7, 1)) = K'(-7, -1)
3. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point L;
f(L(6, -3)) = L'(3, 6)
4. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point M;
f(M(1, -3)) = M'(3, 1)
help!!!!!!!!!!!!!!!!!!
Answer:
ASA test will come
angles (given)
side between angles (common side)
Which group of numbers is ordered from least to greatest?
A. 4/5,−0.9,−3
B. −3,−0.9,4/5
C. −0.9,4/5,−3
D. 4/5,−3,−0.9
Answer:
You can exempt a A, C, and D because the greatest number out of the group is 4/5 which means 4/5 should be at the end of the list since it's going for least to greatest.
B is the answer
whats is 183x194??????????
Answer:
35502
Step-by-step explanation:
The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!
what is the value of x?
Answer:
84°
Step-by-step explanation:
I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.
Alexander invested $240 in an account paying an interest rate of 2.3% compounded
annually. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 9 years?
Answer:
295
Step-by-step explanation:
After 9 years, Alexander will have $295 in his bank account.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For Alexander, S = sum of money after the total period of investment.
P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.
Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5
≈ $295
Hence, after 9 years, Alexander will have $295 in his bank account.
Learn more about compound interest here: brainly.com/question/25857212
#Tag #SPJ2
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
85% of 19 = 16.15
Step-by-step explanation:
Multiply the polynomials (3y^3 + 2y^2 – 7y) and (2y^2 – 4y + 4).
Answer:
6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
Step-by-step explanation:
Expand the following:
(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)
| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0
| | | | | | 2 y^2 | - | 4 y | + | 4
| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0
| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0
6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0
6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:
Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
If a=21m and c=35m what is the length of side b using the pythagorean
theorem?
28m
28
45
Solve the following equations
X + 6 = 25
Answer:
x=19
Step-by-step explanation:
x=25-6
x=19
Answer:
x=19
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
x+6−6=25−6
x=19
HELP PLEASE!!
Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6
Answer:
[tex]y=-4x+6[/tex]
Step-by-step explanation:
If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.
[tex]2=-4(1)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
If it works you have your answer!
The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is
y = -4x + 6.
The slope of y = -4x - 6 is -4.
passing through the point (1, 2)
the new line is parallel to the original line, it will have the same slope (-4).
Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
substituting values,
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
learn more about slope here
brainly.com/question/2491620
#SPJ2
what are the numbers if the GCF of these numbers is 12?
A) 24 and 36
B ) 18 and 24
C)14 and 16
D) 12 and 21
explain please...
Answer:
a...................
To float in water, an object must have a density of less than 1 gram per milliliter. The density of a fresh egg is about 1.2 grams per milliliter. If the density of a spoiled egg is about 0.3 grams per milliliter less than that of a fresh egg, what is the density of a spoiled egg? How can you use water to tell if an egg is spoiled?
Density of fresh egg = 1.2 g/cm³.
Density of spoiled egg = Density of fresh egg - 0.3 g/cm³.
Density of spoiled egg =( 1.2 - 0.3 ) g/cm³ = 0.9 g/cm³.
Now, it is given that any object with density less than 1 g/cm³ will float on water.
To tell whether an egg is spoiled or not using water. We should drop egg in water if it float then it is spoiled else it is fresh.
Hence, this is the required solution.
Pls Help me. I will mark brainlist.
Answer:
The second answer
Step-by-step explanation:
Because if you subtract a negative from an equation you get positive (two negatives make a positive)
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
Subtract.
(2 + 7i)-(3-8i)
A label printer prints 7 labels in 3.4 seconds. How long will it take to print 56 pages of labels?
Answer:
27.20seconds
Step-by-step explanation:
hope this helped,brainliest?
3/2x + 8= -1 solve equation
Answer:
x = -6
Step-by-step explanation:
Subtract 8 from each side, so it now looks like this: 3/2x = -9Divide each side by 3/2 to cancel out the 3/2 next to x. It should now look like this: x = -6I hope this helps!
Answer:
x= -6
Step-by-step explanation:
3/2x+8-8=-1-8
3/2 x= -9
2. 3/2x=2(-9)
3x= -18
3x/3 = -18/3
x= -6
1. Transform pentagon BEARS According to (x,y) → (x + 6, y + 8). Write the coordinates for
pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane
Answer:
2,1
Step-by-step explanation:
The perimeter of a rectangle is 72 inches. The ratio of the width to the length is 4:5. What is the width of the rectangle?
9514 1404 393
Answer:
16 inches
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 36 inches.
The width is 4/(4+5) = 4/9 of the total of length and width, so is ...
(4/9)(36 inches) = 16 inches
The width of the rectangle is 16 inches.
Which of the following is not true?
Answer:
d) 1/2 ÷ 4 = 1/2 • 4/1
Step-by-step explanation:
when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)
when multiplying just multiply straight across
Which table represents a function?
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
Does the point (1,2) lie on the locus whose equation is 2x+4y = 10?
Answer:
Yes, the point lies on the line.
Step-by-step explanation:
Given coordinate of the locus = (1,2)
Equation of the line 2x+4y = 10
Unknown:
Does the given coordinate lie on the line?
Solution:
The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.
x = 1 and y = 2;
2x+4y = 10
So;
2(1) + 4(2) gives 2 + 8 = 10
Yes, the point lies on the line.
Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:
Answer:
[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.
Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.
A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.
So, equation becomes [tex]7.3x+11.3y=500[/tex]
For [tex]x[/tex]-intercept, put [tex]y=0[/tex]
[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]
So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
For [tex]y[/tex]-intercept, put [tex]x=0[/tex]
[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]
So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]
[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]
[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.
[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.
The sum of 5 amd 8 terms of an A.P is 37 and its 11 term is 32 find the A.P
Sum of 5th & 8th terms of an AP = 37
11th term = 32
Find:A.P
Solution:We know that,
nth term of an AP – an = a + (n - 1)d
Hence,
⟹ a₅ + a₈ = 37
⟹ a + (5 - 1)d + a + (8 - 1)d = 37
⟹ 2a + 4d + 7d = 37
⟹ 2a + 11d = 37 -- equation (1)
Similarly,
⟹ a₁₁ = 32
⟹ a + (11 - 1)d = 32
⟹ a + 10d = 32
⟹ a = 32 - 10d
Substitute the value of a in equation (1).
⟹ 2(32 - 10d) + 11d = 37
⟹ 64 - 20d + 11d = 37
⟹ 64 - 37 = 20d - 11d
⟹ 27 = 9d
⟹ 27/9 = d
⟹ 3 = d
Substitute the value of d in equation (1).
⟹ 2a + 11(3) = 37
⟹ 2a + 33 = 37
⟹ 2a = 37 - 33
⟹ 2a = 4
⟹ a = 4/2
⟹ a = 2
Now,
General form of an ap = a , a + d , a + 2d...
⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...
⟶ Required AP = 2 , 5 , 2 + 6...
⟶ Required AP = 2 , 5 , 8...
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation:
A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>
Answer: 4:1
Step-by-step explanation:
Divide by two to get in simplest form.
80 ÷ 2 = 40
20 ÷ 2 = 10
Make a ration with 40 and 10.
40:10
Make 40:10 simpler by dividing by 10.
40 ÷ 10 = 4
10 ÷ 10 = 1
Make 4 and 1 into a ration.
4:1
Answer:
4 : 1
Step-by-step explanation:
Given the ratio
80 : 20 ← divide both parts by 20
= 4 : 1 ← in simplest form
The system of linear equations -2x+y=8 and -3x-y=7
Answer: x=-3, y=2
Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2
Answer:
(-3,2)
Step-by-step explanation:
You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing
Simultaneous is easier so lets get started.
1st equation : [tex]-2x+y=8[/tex]
2nd equation: [tex]-3x-y=7[/tex]
We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.
Like, take the 1st equation
[tex]-2x+y=8\\y=8+2x[/tex]
the equation is arranged in a different manner but its the same thing.
This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation
[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]
we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.
[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]
The solution set of our system of linear equations is
(-3,2)