Answer:
80
Step-by-step explanation:
x*.25=20
x=20/.25
x=80
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a T-shirt minus the $4 discount.
B. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.
C. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?
I will mark the first correct answer Brainliest!
Answer:
$4.00+0.035+$4.00=8.035=$8.35
Step-by-step explanation:
the definite integral is how obtain and the symbol of integral
Answer:
Symbol for definite integralThe ∫ symbol is called an integral sign; it's an elongated letter S, standing for sum. (The ∫ is actually the Σ from the Riemann sum, written in Roman letters instead of Greek letters.) The dx on the end must be included; you can think of∫ and dx as left and right parentheses.
solve the equation
13d+8=-1
Answer:
I hope this works
Step-by-step explanation:
look at the picture
Solve simultaneously please
Answer:
x = 1; y = 5/4
Step-by-step explanation:
7/x - 5/y = 3
2/x + 25/(2y) = 12
The LCD of first equation is xy. Multiply both sides of the first equation by xy.
xy(7/x) - xy(5/y) = 3xy
7y - 5x = 3xy
The LCD of second equation is 2xy. Multiply both sides of the second equation by 2xy.
2xy(2/x) + 2xy(25/2y) = 24xy
4y + 25x = 24xy
7y - 5x = 3xy
4y + 25x = 24xy
Multiply the top equation by -8 and add to bottom equation.
-56y + 40x = -24xy
(+) 4y + 25x = 24xy
---------------------------------
-52y + 65x = 0
65x = 52y
x = 52y/65
7y - 5x = 3xy
7y - 5(52y/65) = 3(52y/65)y
455y - 260y = 156y²
156y² - 195y = 0
4y² - 5y = 0
y(4y - 5) = 0
y = 0 or 4y = 5
y = 0 or y = 5/4
7/x - 5/y = 3
y cannot equal zero.
7/x - 5/y = 3
7/x - 5/(5/4) = 3
7/x - 4 = 3
7/x = 7
x = 1
Solution: x = 1; y = 5/4
60 POINTS PLEASEEEEEEEEEEE
Answer:
It is B. (0,1)
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
a
Find the missing number?
Answer:
it's 9
Step-by-step explanation:
you add up the numbers
Answer:
the answer is 9, if adding
The given equation has been solved in the table,
Step
Statement
1
2
993-139
3 1
3
4
(-1)
5
6
in which step was the addition property of equality applied?
Answer:
Step 3.
Step-by-step explanation:
If you look at the equation you can see that that -9 is gone from the left from being added by 9 and -4 is the result of 9 being added to -13. Step 2 would not be the correct answer because they haven't added the numbers yet. Hope this helps!
Answer: step 3
Step-by-step explanation:
Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
If anyone can answer all these thanks
1. 4x+3=23
2. 24x - 18=30
3.160+10n=220
4.51=30+3n
5.6y+85=157
1) x = 5
2) x = 2
3) n = 6
4) n = 7
5) y = 12
Step-by-step explanation:-1)[tex]4x+3=23[/tex]
→[tex]4x = 23 - 3[/tex]
→[tex]4x = 20[/tex]
→[tex]x = \frac{20}{4} [/tex]
→[tex]x = 5[/tex]
Hence, value of x is 5
2)[tex]24x - 18=30[/tex]
=>[tex]24x = 30 + 18[/tex]
=>[tex]24x = 48[/tex]
=>[tex]x = \frac{48}{24} [/tex]
=>[tex]x = 2[/tex]
Hence, value of x is 2
3)[tex]160+10n=220[/tex]
[tex]→10n = 220 - 160[/tex]
[tex]→10n =60[/tex]
[tex]→n = \frac{60}{10} [/tex]
[tex]→n = 6[/tex]
Hence, value of n is 6
4)[tex]51=30+3n[/tex]
[tex]→51 - 30 = 3n[/tex]
[tex]→21 = 3n[/tex]
[tex]→\frac{21}{3} = n[/tex]
[tex]→n = 7[/tex]
Hence, the value of n is 7
5)[tex]6y + 85=157[/tex]
[tex]→6y = 157 - 85[/tex]
[tex]→6y = 72[/tex]
[tex]→y = \frac{72}{6} [/tex]
[tex]→y = 12[/tex]
Hence, value of y is 12
answer please the question is in the picture
Answer:
The two marked in the image.
Step-by-step explanation:
In scientific notation you will want only the most significant non-zero digit before the comma.
The first underlined number has two digits before it, the correct representation should be [tex]1.25\times10^4[/tex]
The second underlined number has a 0 leading digit, while the most significant non-zero digit is a 4. The correct represantation should be [tex]4.5\times 10^2[/tex]
An extra case could be made for the second number of the list, since it has no decimal part, but the way I read it means "the instrument used to measure the data has 0 decimal places accuracy"
Group like term’s please hurry.
Answer:
Step-by-step [tex]5x-4x =x \\4x^{2} -x^{2}=3x^{2} \\-24+11=-13\\3x^{2} +x-13[/tex]
Answer:
x^5 + 151x -264
Step-by-step explanation:
See the attached page.
PLSSSSS HELP MEEEEE
Ramiro asked 60 random people from his school how they use the library.
Use the information from Ramiro’s representative sample to make predictions about the school-wide results.
The school has 540 students.
Using proportions, it is found that:
The most popular choice likely be either checking out books or studying.Based on the sample, about 90 students will vote for doing research.Based on the sample, about 35% of students will for checking out books.What is a proportion?A proportion is a fraction of a total amount.
In the sample, the most voted options were checking out books or studying, hence:
The most popular choice likely be either checking out books or studying.
Out of the 60 students, 10 = 1/6 are doing research, hence out of 540:
[tex]\frac{1}{6} \times 540 = 90[/tex]
Based on the sample, about 90 students will vote for doing research.
21 out of 60 students voted for checking out books, hence:
21/60 = 0.35 = 35%.
Based on the sample, about 35% of students will for checking out books.
More can be learned about proportions at https://brainly.com/question/24372153
Answer: Look at the attachment
Checking out books or studying
90
35%
Step-by-step explanation:
Factor out a -5 of 2x-5
Answer:
2
a
x
−
5
a
−
10
x
+
25
Step-by-step explanation:
45. You deposit $6000 into an account that earns 3.8% interest compounded annually.
Find the balance of the account after 7 years.
Answer: 7596
Step-by-step explanation:
3.8%x7=26.6%
6000x26.6%=1596
6000+1596=7596
REE PLS HELP mEEEEEEEEEEEEEEEEEEEEEEEEEEEeE
PLEASE HELPPP. I’ve been stuck on this for so long
Answer:
D. 2.5
I hope it's help.......
Find the cost price of a pen if a pen is sold at 10% profit for Rs 1100.
Answer:
Rs 1210
Step-by-step explanation:
cost price = (100/100+10/100)×selling price
€1 = £0.88. Change €470 into £.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
Given:.
€1 = £0.88Steps :
470 × 0.88
£413.6
Please Help quick This is Algebra Thank you!
Solve equation by using the quadratic formula.
9 x squared + 7 x = 0
a.
x = StartFraction 7 Over 9 EndFraction, 0
c.
x = 0
b.
x = negative StartFraction 7 Over 9 EndFraction, 0
d.
x = plus-or-minus StartFraction 7 Over 9 EndFraction
Answer: 1: x=3, x=1
2: x= -5
3: There are 2 real solutions.
4: There are 2 real solutions.
5: There are no real solutions.
6. There is 1 real solution.
7.
8. x= -6, x = -2
9. x = -1/6, x=1
10.
Explanation:
1. The quadratic formula is
Substituting our known information we have:
2. Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:
3. The discriminant is b²-4ac. For this problem, that is 20²-4(-4)(25)=400--400=800. Since this is greater than 0, there are 2 real solutions.
4. The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169. This is greater than 0, so there are 2 real solutions.
5. The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223. Since this is less than 0, there are no real solutions.
6. If the discriminant of a quadratic is 0, then by definition there is 1 real solution.
7. Rewriting the quadratic we have 3x²-4x-2=0. Using the quadratic formula we have:
8. Factoring this trinomial we want factors of 12 that sum to 8. 6*2 = 12 and 6+2=8, so those are our factors. This gives us:
(x+6)(x+2)=0
Using the zero product property we know that either x+6=0 or x+2=0. Solving these equations we get x= -6 or x= -2.
9. Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5. (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:
6x²-6x+1x-1=0
We group together the first two and the last two terms:
(6x²-6x)+(1x-1)=0
Factor the GCF out of each group. In the first group, that is 6x:
6x(x-1)+(1x-1)=0
In the second group, the GCF is 1:
6x(x-1)+1(x-1)=0
Both terms have a factor of (x-1), so we can factor it out:
(x-1)(6x+1)=0
Using the zero product property, we know either x-1=0 or 6x+1=0. Solving these equations we get x=1 or x=-1/6.
10. Substituting our information into the quadratic formula we get:
Step-by-step explanation:
if p and q vary inversely and p is 4 when q is 15, determine q when p is equal to 30
The value of q when q varies inversely with p is 2.
What is the value of q?The formula that can be used to represent inverse variation is:
p = k/q
Where:
p = dependent variable q = independent variable k = constant of proportionalityThe first step is to determine the value of the constant of proportionality
k = p x q
k = 15 x 4 = 60
Given the value of the constant of proportionality, the value of q can now be determined.
30 = 60/q
q = 60 / 30
q = 2
To learn more about inverse proportion, please check: https://brainly.com/question/25748643
find the triangular number in the nth position if n is. a)22 (b)11 (c)31 (d)40
Answer:
Shown below.Explanation:
use the formula: n(n+1)/2
where n is the number of nth position
(a)
n(n+1)/2
22(22+1)/2
253
(b)
11(11+1)/2
66
(c)
n(n+1)/2
31(31+1)/2
496
(d)
n(n+1)/2
40(40+1)/2
820
Answer:
a) 253
b) 66
c) 496
d) 820
Step-by-step explanation:
Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.
nth triangular number formula: [tex]T_n=\dfrac{n(n+1)}{2}[/tex]
a) if n = 22
[tex]T_{22}=\dfrac{22(22+1)}{2}=253[/tex]
b) if n = 11
[tex]T_{11}=\dfrac{11(11+1)}{2}=66[/tex]
c) if n = 31
[tex]T_{31}=\dfrac{31(31+1)}{2}=496[/tex]
d) if n = 40
[tex]T_{40}=\dfrac{40(40+1)}{2}=820[/tex]
Use the point-slope formula to write an equation of the line that passes through (-4, 4) and has a slope of m=0. Write the answer in slope-intercept form (if
possible)
Answer:
y = 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-4,4)
y - y1 = m (x - x1)
y - 4 = 0 (x - 1)
y - 4 = 0x + 0
+ 4 + 4
y = 4
The answer can't be written in slope-intercept form, as the 0"s cancel out.
Hope this helps!
what are the values of x and y in the figure shown? show your work
Answer:
x = 5 , y = 2
Step-by-step explanation:
3y + 4y + 2x = 24
(3y)² + (4y)² = (2x)²
2x + 7y = 24 .............. (1)
25y² = 4x² ................ (2)
x = [tex]\frac{5}{2}[/tex] y ------> (1)
2 ( [tex]\frac{5}{2}[/tex] y ) + 7y = 24
12y = 24
y = 2 ----------> (1)
x = 5
2 2/3 x 3 3/8=?
Please help me
Answer:
Step-by-step explanation:
2 2/3 = 8/3
3 3/8 = 27/8
8/3 * 27/8 = 216/24
= 9
Select the sequences that are geometric. 18, 36, 54, 72, … 4. 1, 8. 2, 16. 4, 32. 8, … –7, 14, –28, 56, … 980, 784, 627. 2, 501. 76, … 5, 2, –1, –4, ….
Answer:
18, 36, 54, 72
Step-by-step explanation:
As that sequence is common in the table of 18.
A.T.Q
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
Correct me, if I am wrong :)
Have a great day!
Thanks!
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
d
Step-by-step explanation:
-4 < 2x +4
-8 < 2x
-8/2
-4 < x
other side
2x + 4 < 8
8-4
2x < 4
4/2
x < 2
Answer:
The answer (as i checked i recommended doing is D)
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Answer:
One possible equation is [tex]f(x) = (x + 3)\, (x - 5)[/tex], which is equivalent to [tex]f(x) = x^{2} - 2\, x - 15[/tex].
Step-by-step explanation:
The factor theorem states that if [tex]x = x_{0}[/tex] (where [tex]x_{0}[/tex] is a constant) is a root of a function, [tex](x - x_{0})[/tex] would be a factor of that function.
The question states that [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex] are [tex]x[/tex]-intercepts of this function. In other words, [tex]x = -3[/tex] and [tex]x = 5[/tex] would both set the value of this quadratic function to [tex]0[/tex]. Thus, [tex]x = -3\![/tex] and [tex]x = 5\![/tex] would be two roots of this function.
By the factor theorem, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be two factors of this function.
Because the function in this question is quadratic, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be the only two factors of this function. In other words, for some constant [tex]a[/tex] ([tex]a \ne 0[/tex]):
[tex]f(x) = a\, (x - (-3))\, (x - 5)[/tex].
Simplify to obtain:
[tex]f(x) = a\, (x + 3)\, (x - 5)[/tex].
Expand this expression to obtain:
[tex]f(x) = a\, (x^{2} - 2\, x - 15)[/tex].
(Quadratic functions are polynomials of degree two. If this function has any factor other than [tex](x - (-3))[/tex] and [tex](x - 5)[/tex], expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of [tex]a[/tex] corresponds to a distinct quadratic function with [tex]x[/tex]-intercepts [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex]. For example, with [tex]a = 1[/tex]:
[tex]f(x) = (x + 3)\, (x - 5)[/tex], or equivalently,
[tex]f(x) = x^{2} - 2\, x - 15[/tex].
Write
5
3
8
as an improper fraction.
Answer:
15/8
Step-by-step explanation:
I believe you mean 5 and 3/8, if that so well here's your answer:
Domenator (bottem number) stays same, numerator (top number) is timesed by the whole number (non-fraction number/left number)
So that'll be 5 * 3 = 15 making 15/8
Write .7 as a fraction.
0.7 as a fraction:
[tex]\frac{7}{10}[/tex][tex]\frac{70}{100}[/tex][tex]\frac{700}{1000}[/tex]