Let f(x)equals=33xminus−1, h(x)equals=startfraction 7 over x plus 5 endfraction 7 x+5 . find (hcircle◦f)(66).
an artist is cutting pieces of ribbon to use in a project. Each piece he cuts measures 7/8 inch. The aritst cuts off 5 pieces. How many total inches of ribbon has he cut off?
The artist has cut off a total of 4 and 3/8 inches of ribbon for his project by multiplying the length of one piece (7/8 inch) by the total number of pieces cut (5).
Explanation:The question involves a straightforward arithmetic operation of multiplication. Each piece of ribbon the artist cuts measures 7/8 inch, and he cuts off 5 pieces in total. To find the total length of ribbon cut off, we multiply the length of one piece (7/8 inch) by the number of pieces cut (5).
Calculation: \(\frac{7}{8} \text{ inch} \times 5 = \frac{35}{8} \text{ inches} = 4 \frac{3}{8} \text{ inches}\)
Therefore, the artist has cut off a total of 4 and 3/8 inches of ribbon for his project. This example demonstrates a practical application of multiplication in a real-world context, specifically within arts and crafts projects.
Help with this question !
solve the system
x+3y=22
2x-y=2
Answer: The required solution is (x, y) = (4, 6).
Step-by-step explanation: We are given to solve the following system of equations :
[tex]x+3y=22~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (ii), we have
[tex]2x-y=2\\\\\Rightarrow y=2x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (i), we get
[tex]x+3(2x-2)=22\\\\\Rightarrow x+6x-6=22\\\\\Rightarrow 7x=22+6\\\\\Rightarrow 7x=28\\\\\Rightarrow x=\dfrac{28}{7}\\\\\Rightarrow x=4.[/tex]
From equation (i), we get
[tex]4+3y=22\\\\\Rightarrow 3y=22-4\\\\\Rightarrow 3y=18\\\\\Rightarrowy=\dfrac{18}{3}\\\\\Rightarrow y=6.[/tex]
Thus, the required solution is (x, y) = (4, 6).
7(2+5v)=3v+14 can anyone help???
The solution to the equation is v = 0.
We have,
To solve the equation 7(2 + 5v) = 3v + 14, we can simplify and isolate the variable v.
Expanding the left side of the equation:
7(2 + 5v) = 14 + 35v
Now we have:
14 + 35v = 3v + 14
Next, we can combine like terms:
35v - 3v = 14 - 14
32v = 0
To solve for v, we divide both sides of the equation by 32:
v = 0/32
v = 0
Therefore,
The solution to the equation is v = 0.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Nine friends will equally share 12 glasses of punch how many glasses of punch will each friend get A.3/4 B.1/3 C.4/3 D.3
Simplify the expression (x^19 y^21)^4/(x^2 y^6)^2
The simplified expression is ________.
Write all the factors of 8
Front-row tickets for a concert cost $60. After every 5 rows, the ticket price goes down by $5. What is the total amount of money generated by a full house? Info: There are 20 rows that increase by 3 seats each time starting with 18.
$8 euros were worth $9 and $24 euros were worth $27 write an equation of the form y=kx to show the relationship between the number of euros and the value in dollars.
Solve for b in the formula 3 a + 2 b = c .
A. b=c-3a
B. b=c-2/3a
C. b=c-3a/2
D. b=2c/3a
The value of b from the given equation is (c-3a)/2. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3a+2b=c.
Now, 2b=c-3a
b= (c-3a)/2
The value of b from the given equation is (c-3a)/2. Therefore, option C is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Solve an equation to answer the question
Jose bought 2 movie tickets and a box of popcorn. The popcorn cost $6, and he spent a total of $24. How much did each ticket cost? Use m to represent the cost of each movie ticket.
A. 6m+2=24 m=3 ; each ticket cost $3.
B. 2m+6=24 m=9 ; each ticket cost $9.
C. 2m+6=24 m=15 ; each ticket cost $15.
D. 6m+2=24 m=4 ; each ticket cost $4.
Answer:
B) 2m+6=24 m=9 ; each ticket cost $9.
Step-by-step explanation:
Given: Jose bought 2 movie tickets and a box of popcorn. The popcorn cost $6, and he spent a total of $24.
Here "m" represents the cost of each movie ticket.
Now let's form an equation.
2m + box of popcorn = $24
Box of popcorn cost $6
So,
2m + 6 = 24
Now, we have to solve for m.
Subtract 6 from both sides, we get
2m + 6 - 6 = 24 - 6
2m = 18
Dividing both sides by 2, we get
2m/2 = 18/2
m = 9
So, the cost of movie ticket is $9 each.
Therefore, the answer is B) 2m+6=24 m=9 ; each ticket cost $9.
Simplify.
(-5.12) - (-4.7) + (7.021)
6.79
6.601
-2.799
Which table shows a linear function?
Thank you!
How many possible outcomes, including both main effects and interaction effects, are possible for a factorial design with three independent variables?
In how many ways can i arrange the 6 letters a, b, c, d, e, f?
what are the domain range and asymptote of h(x)=(1.4)^x+5
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Name two properties used to evaluate 7x1-4x1/4
Solve for x.
89(54x−36)+2=−34(−40+16x)+90x
There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6×1020 liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. ×× 10 kg
Quick Answer:
2.31 x 10^19 kg
Which of the following is an example of gameplay in a video game
A: the art of a game
B: the player interacting with the game world and game mechanics
C: the personalities of all the characters
D:all of the above
Answer:
B: the player interacting with the game world and game mechanics
Step-by-step explanation:
Hiram sells kites to various corporations. To maintain his business, he must sell an average of 50 kites per month. After 5 months, Hiram has sold 30, 42, 77, 90, and 52 kites in each of the 5 months. How many kites would Hiram have to sell in the 6th month for him to meet his average of 50 kites?
What is 55 x 10 to the power of 4 in scientific notation
Suppose that a circular coin has an area a, a radius of r, and a diameter of
d. write a as a function of
d.
Area of the given Circle as the function of its diameter πd²/4
What is circle?A Circle is the 2D shape which is measured in the terms of its radius.
Given that Area, radius and diameter of the given Circle is a , r and d respectively.
Area of Circle (A) = π X radius²
radius = diameter/2
Therefore replacing radius by diameter we get,
A = π(d/2)²
A = πd²/4
Hence, Area as a function of d is given by A = πd²/4
For more references about Circle click on:
https://brainly.com/question/11833983
#SPJ5
A street that is 270m long is covered in snow. city workers are using a snowplow to clear the street. a tire on the snowplow has to turn 45 times in traveling the length of the street. what is the diameter of the tire?
Which is an equivalent equation solved for y ?
Answer:
4th Option is correct.
Step-by-step explanation:
Given:
x and y are the half length of the largest and smallest diameter of the ellipse.
Area of the Ellipse , a = πxy
To find: Equivalent Equation for y.
Consider,
a = πxy
πxy = a
(πx)y = a
transpose πx to RHS,
[tex]y=\frac{a}{\pi x}[/tex]
y = a ÷ ( πx )
Therefore, 4th Option is correct.
Which of the following statements is true?
All trapezoids are parallelograms.
All parallelograms are trapezoids.
All rectangles are squares.
All rhombuses are rectangles.
Answer:
The answer is B. All parallelograms are trapezoids.
Step-by-step explanation:
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. That makes the opposite of facing sides are parallel to each other. The the definition of trapezoid is a convex quadrilateral with at least one pair of parallel sides. Therefore, all parallelograms are trapezoids.
The true statement among the given options is, B. All parallelograms are trapezoids.
A trapezoid is a quadrilateral with at least one pair of parallel sides, but it doesn't require all sides to be parallel. Therefore, not all trapezoids are parallelograms. (Statement A is false)
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Every trapezoid has at least one pair of parallel sides, so it can be considered a special case of a parallelogram. Therefore, all trapezoids are parallelograms. (Statement B is true)
A rectangle is a quadrilateral with all four angles equal to 90 degrees. It has opposite sides that are parallel and equal in length. A square is a special type of rectangle with all sides of equal length. However, not all rectangles have all sides of equal length, so statement C is false.
A rhombus is a quadrilateral with all four sides of equal length. It has opposite sides that are parallel, making it a parallelogram. Since a rectangle is a parallelogram with right angles, and a rhombus is a parallelogram with equal sides. Therefore, statement D is also false.
Learn more about quadrilaterals here:
https://brainly.com/question/3113772
#SPj6
Which trigonometric function would be used to find the length of this triangle's hypotenuse?
The cosine function is used to find the length of the hypotenuse of a triangle by utilizing the Pythagorean theorem.
The trigonometric function used to find the length of the hypotenuse of a triangle is the cosine function. In a right triangle, the cosine function is defined as the ratio between the length of the adjacent side to the length of the hypotenuse.
To find the length of the hypotenuse, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse.
For example, if the lengths of the shorter sides are 9 blocks and 5 blocks, then the length of the hypotenuse would be √(9² + 5²) = √(81 + 25) = √106 = 10.3 blocks.
Change each fraction to a decimal. If the division doesn’t end, round your answer to the nearest hundredth. a. 3⁄4 b. 7⁄16 d. 3⁄5 e. 7⁄40 f. 51⁄20
Answer:
the other person forgot to answer c
Step-by-step explanation:
a 0.75
b 0.44
c 0.6
d 0.6
e 0.18
What is the value of x?
a. 68°
b. 62°
c. 112°
d. 124°