f(x) = 7x − 13. Find f−1(x).
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?
A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.
2ft by 4ft
The approximate area of the window is 9.57 ft²
The figure is a composite shape. Therefore, the area can be described as follows:
Area of the composite shape:area = area of semi circle + rectanglearea of a rectangle = lw = 4 × 2 = 8 ft²
area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²
Therefore,
area of the window = 8 + 1.57 = 9.57 ft²
learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults
Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam
she used 3/4 pound for 1/2 cup
so multiply 3/4 pounds for 1 cup
3/4 x 2 = 1 1/2 pounds
alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound
Answer this question, me and my partner have no idea what to do I'm very confused
The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?
What are the next letters? BE GJ LO QT
A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?
Stumped on how to solve this one! The numbers just aren't making sense to me
30 = 3/5
so 1/5 = 10 miles
there are 20/5 in 4 inches
10*20 = 200
they are 200 miles apart
sum of 6 divided by a number and that number divided by 6
Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75
Answer:
Obtuse triangle sets
B. 5, 13, 19
C. 12, 14, 25
Step-by-step explanation:
The Pythagorean inequality for the sides of the triangle to be an obtuse:
[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.
The other Pythagorean inequalities are:
[tex]a^2 + b^2 > c^2[/tex], for Acute triangle
[tex]a^2 + b^2 = c^2[/tex], for Right triangle
Now let's check which set of the given sets satisfy the above inequality.
Option A
4, 5, 6
Here a = 4, b = 5 and c = 6
[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]
Which is not true.
Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle
Option B
5, 13, 19
Here a = 5, b = 13 and c = 19
[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]
Which is true. This is Obtuse triangle
Option C
Here a = 12, b = 14 and c = 25
[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]
Which is true. This is obtuse triangle.
Option D
Here a = 21, b = 72 and c = 75
[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]
Which is not true for obtuse.
Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle
So this is Right triangle.
Answer:
c
Step-by-step explanation:
just did it
Solve the equation
-3x+1+10x=x+4
Find an explicit formula for the arithmetic sequence -11,-3,5,13,...
what is 9 hours from now
The perimeter of the following rectangle is 40 inches. What is the length of w?
Bottom: 14 in.
Side: Unknown
2.9 in.
6 in.
12 in.
26 in.
6 inches is the answer
P= 2( L+W)
Answer: 6 inches
Step-by-step explanation:
Given: The perimeter of the rectangle = 40 inches
Let the unknown side be w.
And the bottom side l=14 in.
We know that the perimeter of rectangle is given by :-
[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]
Hence, the the length of w = 6 inches.
A rope stretches directly depending on the load it must carry. If a load of 8 pounds stretches the rope 9.6 inches, the constant of proportionality is equal to:
8(9.6)
8/9.6
9.6/8
"Our proportionality constant would be how much the rope stretches versus the weight being hung. This is set up by simply dividing the two numbers.
9.6 inches / 8 pounds
or for every pound hung, it will stretch 1.2 inches so we know if it stretches 6 inches, we can set up an equation 6 inches = 1.2 [inches/pound] * pounds solve for weight to get 5 pounds being hung from the rope."
Answer: 9.6 inches / 8 pounds
Step-by-step explanation: I got it right
Evaluate ab for a = 2 3/4 and b = 4/5
Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars
Answer:
The answer is $3(0.50+1.00)
Step-by-step explanation:
Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:
[tex]3*0.50[/tex]
And 3 pounds of apples at $1.00 per pound which can be expressed as:
[tex]3*1.00[/tex]
As Robert bought the apples and bananas, you can add both expressions:
[tex]3*0.50 + 3*1.00[/tex]
This expression can be factorized as:
[tex]3(0.50+1.00)[/tex]
or
[tex]3(1.50)[/tex]
Both expressions will give you the same result, which is $4.50.
The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
Evaluate for C=3 and d=-5
(3c^2-3d)^2-1000
help What is the length of the unknown leg in the right triangle?
Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into?
48-36 =12
60-48=12
36/12 =3
48/12=4
60/12=5
the maximum number of bowls is 12
Answer:
12
Step-by-step explanation:
Is 7040 yards more than or less then 4 miles
A baker uses 5.5 lb of flour daily how many ounces of flour will he use in two weeks
1 pound = 16 ounces
16 * 5.5 = 88 ounces per day
88*7 = 616 ounces per week
616 * 2 = 1232 ounces in 2 weeks
A cable is 7.1m long. How long is the cable in decimeters?
Describe how to model -3x + 7=28 with algebra tiles
I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
25%
42.2%
50%
72.2%
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.
Total numbers lie on line QT is
[tex]42-24=18[/tex]
The numbers lie on line ST is
[tex]42-29=13[/tex]
The probability that a point chosen at random on QT is on ST is
[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]
[tex]P=\frac{13}{18}}\times 100[/tex]
[tex]P=72.222\approx 72.2\%[/tex]
The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answer:
2 + 9x, beacuse (17x - 8x) + 2 = 9x+2
Step-by-step explanation:
Combine like Terms: 17x - 8x + 2=
9x+2