Answer:
$870.16 dollars
Step-by-step explanation:
Given the following question:
Original cost = $801.99
Sales tax of 8.5%
In order to find the answer, we find 8.5% of the original cost of the camera. After that, we simply add that number to the original cost of the camera to find our answer.
[tex]\frac{8.5\times801.99}{100} =8.5\times801.99=6816.915\div100=68.16915[/tex]
[tex]68.16915[/tex]
[tex]9>5[/tex]
[tex]68.17[/tex]
Sales tax is $68.17
[tex]801.99+68.17=870.16[/tex]
Total price for the camera including tax is "$870.16."
Hope this helps.
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
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
State and show what additional information is required in order to know that the triangles are
congruent for the given reason.
SAS
Answer:
Step-by-step explanation:
We already know that both triangles have a congruent side length.
We also know angle KVM or UVW are the same
We only have to know if VM and WV are the same.
This way, each triangle will have two congruent side lengths and a angle. The third side will therefore be the same.
By the same logic, if we know that KM and UW are the same, the two triangles are also congruent.
To determine if two triangles are congruent using the SAS (Side-Angle-Side) criterion, we need additional information about the length of one side, the measure of one angle, and the length of another side in both triangles.
This information is crucial in order to establish the congruence between the triangles. For example, let's consider two triangles, triangle ABC and triangle DEF. To prove that these triangles are congruent using the SAS criterion, we need to know: 1. The length of side AB in triangle ABC and the length of side DE in triangle DEF. 2. The measure of angle A in triangle ABC and the measure of angle D in triangle DEF. 3. The length of side BC in triangle ABC and the length of side EF in triangle DEF. By knowing these measurements, we can compare the corresponding sides and angles of the two triangles. If the lengths of the corresponding sides are equal and the measures of the corresponding angles are equal, then we can conclude that the two triangles are congruent by the SAS criterion.
To know more about hypotenuse here
https://brainly.com/question/2217700
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A single die is rolled. Find the odds in favor of rolling a number greater than 5
Answer:
A die has 6 numbers.
So 6 numbers them being
1, 2, 3, 4, 5, 6
There’s only one number greater then 5 which is 6.
Since its 6 numbers, a die has a 1/6 chance of getting your desired number.
So it’s a 1/6 chance.
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
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
Find the missing number?
Answer:
it's 9
Step-by-step explanation:
you add up the numbers
Answer:
the answer is 9, if adding
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]€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
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:
PLEASE HELPPP. I’ve been stuck on this for so long
Answer:
D. 2.5
I hope it's help.......
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"
Marking brainliest
Please help for #2
REE PLS HELP mEEEEEEEEEEEEEEEEEEEEEEEEEEEeE
write a linear equation in the form of y=mx+b
Answer:
y=6x-4
(dark blue)
Step-by-step explanation:
x=0 y=-4
y=6x-4
y=6(0)-4
y=-4
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:
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)
find the surface area. 10in 4in 7in
Answer:
[tex]S = 276\ in^2[/tex]
Step-by-step explanation:
Step 1: Determine important information
Using the given numbers it doesn't really matter which is which because the equation multiplies everything together.
Surface Area of a Rectangular Prism → [tex]S= 2(wl+hl+hw)[/tex]
Step 2: Plug in the values and solve
[tex]S = 2((10\ in * 4\ in) + (7\ in * 4\ in) + (7\ in * 10\ in))[/tex]
[tex]S=2(40\ in^2 + 28\ in^2 + 70\ in^2)[/tex]
[tex]S = 2(138\ in^2)[/tex]
[tex]S = 276\ in^2[/tex]
Answer: [tex]S = 276\ in^2[/tex]
In the diagram above, angle 4 is 40. Find the measure of angle 1
Answer: 2
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
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].
solve the equation
13d+8=-1
Answer:
I hope this works
Step-by-step explanation:
look at the picture
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
a convex hexagon has exterior angles that measure 80, 68, 84, 56, and 40. Which of the following the measure of the 6th exterior angle
A: 32
B: 60
C: 180
D: 360
Answer:
so add the ones that are given and then subtract from 360 because they must total to 360. so 360-80-68-84-56-40=32 so A
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.
PLSS HELP ME! <3
The correct answer will get brainliest and the wrong answer will be reported!
Answer:
8:9
Step-by-step explanation:
enter
9
-----
8
I need help please
You will get 12 points
Please don’t write random words please . Thank you
answer: C
you can use "bedmas". In the an equation you're doing, one of the first steps would to be to deal with exponents since there's no brackets and C is the only one with the exponents done.
brackets exponentsdivision multiplication addition subtractionIdentify 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
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
55 children get into teams of 4 How many teams of 4 can they make How many children will not be in a team of 4
Answer:
13 teams and 3 people left over
Step-by-step explanation:
55/4 would be 13 with a remainder of 3. That 3 would be the number of people left over. And 13 would be the number of groups of four available.
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]