A store pays $10 for each shirt it buys. The store sells each shirt for 60%
more. What is the price of a shirt at the store?
Answer:
16$ per shirt
Step-by-step explanation:
60% of 10 is 6
10 + 6 = 16
Question 9 of 10
Which of the following are exterior angles? Check all that apply.
O A. 24
O B. _3
O c. 7
O D. 25
O E. 2.
O F. 26
Answer:
[tex]\boxed{\sf A, \ B \ and \ E}[/tex]
Step-by-step explanation:
[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]
The volume of this prism is cubic inches.
Answer:
140
Step-by-step explanation:
The prism shown is a rectangular prism
Volume of a rectangular prism = length * width * height
Given length: 3 1/2
Given width: 5
Given height: 8
Volume = 3.5 * 5 * 8 = 140
Answer:
[tex]A=140[/tex]
Step-by-step explanation:
The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular prism, its volume can be found using the following formula,
[tex]A=l*w*h[/tex]
Substitute the given values into this formula,
[tex]A=l*w*h[/tex]
[tex]A=8*5*3\frac{1}{2}[/tex]
Simplify,
[tex]A=8*5*3\frac{1}{2}[/tex]
[tex]A=40*3\frac{1}{2}[/tex]
Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).
[tex]A=40*3\frac{1}{2}[/tex]
[tex]A=40*\frac{(3*2)+1}{2}[/tex]
[tex]A=40*\frac{6+1}{2}[/tex]
[tex]A=40*\frac{7}{2}[/tex]
To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,
[tex]A=40*\frac{7}{2}[/tex]
[tex]A=20*7[/tex]
Multiply to finish simplifying and get the answer,
[tex]A=20*7[/tex]
[tex]A=140[/tex]
5 Sandeep bought 30 punnets of strawberries for £20. 1/6 of the punnets were rotten so he threw them away. He sold the remaining punnets for £1.50 each. Work out Sandeep's profit.
Answer:
£17.50
Step-by-step explanation:
30 punnets / £20
= 30 / 20
= 1.5
1 punnet costs £1.5
30 strawberries * (1/6 punnets)
= 30 * (1/6)
= 30/6
= 5
5 punnets were rotten.
5 rotten punnets * £1.5
= 5 * 1.5
= 7.5
Sandeep lost £7.5 in profits.
6/6 punnets - 1/6 rotten punnets
= 6/6 - 1/6
= 5/6
5/6 punnets are good
30 punnets * 5/6 good punnets
= 30 * 5/6
= 150/6
= 25
Sandeep has 25 punnets left to sell
25 punnets to sell * £1.50
= 25 * 1.5
= 37.50
Sandeep will get £37.50 from selling the punnets. However, you must take into account that he lost £20 when he bought the strawberies. THat money while be added back with some extra money left over:
£37.50 - £20
= 37.50 - 20
= 17.50
Put all into 1 equation:
{[30 * (5/6)] * 1.50} - 20
= {(150/6) * 1.50} - 20
= {25 * 1.50} - 20
= 37.50 -20
= 17.50
Overall, Sandeep's actual profits are equal to 17.50
I hope this is correct! Please tell me if the answer or info I gave was wrong!
Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f−1(6)
Answer:
[tex]f^{-1}(6) = 2[/tex]
Step-by-step explanation:
Given
[tex]f(2) = 6[/tex]
[tex]f(3) = 7[/tex]
Required
[tex]f^{-1}(6)[/tex]
First, we need to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
From the given parameters;
In [tex]f(2) = 6[/tex]
x = 2; y =6 --- Take this as x1 and y1
In [tex]f(3) = 7[/tex]
x = 3; y = 7 --- Take this as x2 and y2
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{6 - 7}{2 - 3}[/tex]
[tex]m = \frac{- 1}{ - 1}[/tex]
[tex]m = 1[/tex]
Next, we determine the equation of the function using
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute the values of x1,y1 and m
[tex]y - 6 = 1(x - 2)[/tex]
Open bracket
[tex]y - 6 = x - 2[/tex]
Add 6 to both sides
[tex]y - 6 + 6 = x -2 +6[/tex]
[tex]y = x + 4[/tex]
Next is to determine the inverse function by swapping the positions of x and y
[tex]x = y + 4[/tex]
Make y the subject of formula;
[tex]y = x - 4[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = x - 4[/tex]
Now, we can solve for [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = 6 - 4[/tex]
[tex]f^{-1}(6) = 2[/tex]
{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.
Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answer:C and F are correct
Step-by-step explanation:
got it right on edge
please help giving brainlest and points !! send picture or explain
Answer:
1. [1,-8,-7]
2.[4,-3,-2]
3.[9,-7,-2]
srry if wrong
PLEASE HELP!!! Will give brainliest to quickest CORRECT answer. No explanation needed :) Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal. Let C represent the number of classes a customer takes. 1) Which inequality describes this scenario? A. 35+C≤100 B. 35+3≥100 C. 35+12C≤100 D. 35+12C≥100 2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?
The inequality that describes the scenario will be; 35 + 12C ≥ 100.
The minimum number of classes a customer can take for Rebekah to meet her goal is 6
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
One-time initial fee = $35
Additional fee per class = $12
Minimum target = $100
Number of classes = C
One-time initial fee + (Additional fee per class) x (Number of classes) ≥ Minimum target
The inequality that describes the scenario will be;
35 + 12C ≥ 100
Then Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal,
12C ≥ 100 - 35
12C ≥ 65
C ≥ 65 / 12
C ≥ 5.42
Thus, The minimum number of classes a customer can take for Rebekah to meet her goal is 6
Learn more about inequality ;
brainly.com/question/14164153
#SPJ2
Ms. Canton went to the store to buy grapes. She bought four bunches of purple grapes. Each bunch had the same amount of grapes (x) She also bought two bunches of green grapes.Each bunch of green grapes had the same amount of grapes in them (y). Write an expression that will show how many bunches of grapes Ms. Canton purchased. *
Two boxes are shown below
What is the difference in the surface areas, in square feet, of the two boxes?
Answer:
Option (B):3
Step-by-step explanation:
S.A of Box J =57ft^2 ; using formula 2(lb+lh+hb)
S.A of BoxF=54Ft^2;using formula (6a^2)
Differenceof S.A of boxes:57-54=3
Estimate the difference to the nearest tenth.
0.612 – 0.185
Answer:
I can’t understand that
Step-by-step explanation:
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
Match each number with its place in order from smallest (1st) to largest (6th). 1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48
Answer:
Numbers provided:
-56, 90, -84, 59, -80, 48
The smallest number is -84.
The highest number is 90.
1st: -84
2nd: -80
3rd: -56
4th: 48
5th: 59
6th: 90
use the tables below to find (p-q)(2)
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex](p-q)(2)[/tex]
[tex]p(2)-q(2)[/tex]
[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]
[tex](3)-(-2)[/tex]
[tex]3+2=5[/tex]
hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)
Answer:
a rectangular prism
Step-by-step explanation:
consists of 6 faces which are rectangles
Mathematics, probability and chance Can somebody help me, I always thank and vote
Eighty eighths in cups
if you have 88 tablespoons and you convert them into cups you would have 5.5 then you would convert that into a fraction which would be 5 1/2
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$
Answer:
[tex]$\[x^2 + 22x + 121\]$[/tex]
Step-by-step explanation:
Given
[tex]$\[x^2 + 22x + \underline{~~~~}.\]$[/tex]
Required
Fill in the gap
Represent the blank with k
[tex]$\[x^2 + 22x + k\]$[/tex]
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
Divide the coefficient by 2
[tex]Result = 22/2[/tex]
[tex]Result = 11[/tex]
Take the square of this result, to give k
[tex]k= 11^2[/tex]
[tex]k= 121[/tex]
Substitute 121 for k
[tex]$\[x^2 + 22x + 121\]$[/tex]
The expression can be factorized as follows;
[tex]x^2 + 11x + 11x + 121[/tex]
[tex]x(x + 11)+11(x+11)[/tex]
[tex](x+11)(x+11)[/tex]
[tex](x+11)^2[/tex]
Hence, the quadratic expression is [tex]$\[x^2 + 22x + 121\]$[/tex]
pls help!! Consider the sequence below.
-34, -21, -8, 5...
Complete the recursively defined function to describe this sequence.
Answer:
a₁= -34
aₙ = 13n - 47
Step-by-step explanation:
This is an AP with the first term of -34 and the common difference of 13.
The nth term is:
aₙ= a₁ + (n-1)daₙ= -34 + (n-1)*13aₙ = 13n - 47This is the required formula.
find the value of a answers: a:15 b:14 c:19 d:16
Answer:
6a+10= 3a+55
6a-3a= 55-10
3a= 45
a= 45/3
a= 15
The answer is (A) 15
Hope this helps^°^
Answer:
A. 15
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.
[tex]6a+10=3a+55[/tex]
Now, solve for a. We must get a by itself on one side of the equation.
First, subtract 3a from both sides of the equation.
[tex]6a-3a+10=3a-3a+55[/tex]
[tex](6a-3a)+10=55[/tex]
[tex]3a+10=55[/tex]
Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.
[tex]3a+10-10=55-10[/tex]
[tex]3a=55-10[/tex]
[tex]3a=45[/tex]
3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3
[tex]3a/3=45/3[/tex]
[tex]a=45/3[/tex]
[tex]a=15[/tex]
The value of a is 15 and choice A is correct.
What is D+26/-17 = - 25
Answer:
-399/17
Step-by-step explanation:
D+26/-17=-25
D=-25-(-26/17)
D=-25+26/17
D=-425/17+26/17
D=-399/17
Solve x*2+5x+6=5x+10
Answer:
x = -2, 2.
Step-by-step explanation:
x*2 + 5x + 6 = 5x + 10
x^2 + 5x - 5x + 6 - 10 = 0
x^2 - 4 = 0
x^2 = 4
x = -2, 2 ( 2 solutions).
SOLVE OR SIMPLIFY THIS!! 4(2x+7)=12-2(10-2x)
Answer:
-3
Step-by-step explanation:
8x+28=12-20-4x
8x+4x=-8-28
12x=-36
x=-3
PLS MARK AS BRAINLIEST
Someone pls help . Thank you sm ! i forgot how to do this lol .
Answer:
x = - 20, h = 34
Step-by-step explanation:
i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20
-32 = 2-h
+32 . +32
0=34-h
+h . +h
34=h
flip
h=34
Which system of equations has no solution?
Answer:
B.
[tex]{ \binom{7x - 2y = 9}{7x - 2y = 13} }[/tex]
A 20% discount on pants, and its price became 48 after the sale, what was its price before
Answer:
$60
Step-by-step explanation:
Represent the original price by p. Then:
1.00 p = original price
0.20 p = discount
0.80p = price after discount = $48
Solving for p, we divide both sides by 0.80:
$48
p = ---------- = $60
0.80
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work
Answer:
3 hours
Step-by-step explanation:
Speed is the ratio of distance traveled to time taken, it is given as:
Speed = distance / time
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.
Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.
For car:
Speed = distance / time
35 = distance ([tex]d_1[/tex]) / t
[tex]d_1=35t[/tex]
For helicopter:
Speed = distance / time
78 = distance ([tex]d_2[/tex]) / t
[tex]d_2=78t[/tex]
The total distance traveled = 169.5 miles
[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]
The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours
Plsssssss answer this fast guys plssssss
Answer:You cant get someone to do all of this try doing a few or getting help from someone older that's what I did
I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now
It's better to make an effort and try doing some of them instead of asking someone to do all of it
Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems
Answer:
Don't ask someone to do this if your question is a test
Step-by-step explanation:
Circles
1. RS and ST are tangent lines. Find the value of x.
R
9x - 30
c.
S
3x
T
Answer:
x = 15
Step-by-step explanation:
9x-30 = 3x (tangent lines are congruent)
- move the variables to one side
9x-3x=30
6x=30
x=5
--------------
9(5)-30=3(15)
45-30=15
15=15
Done!