MATHEMATICS HIGH SCHOOL

What is the original price if the percent of the discount is 15% and the sale price is $146.54​

Answers

Answer 1
Answer:

Answer:

$976.93

Step-by-step explanation:

so if the sale price is 146.54 and the discount is 15% then divide 146.54 by 15% or .15.

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The skew in the distribution is _. negative positive symmetrical zero if the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference of the mean and the median for the new data set is _. 1.2 0.75 0.66 0.28
A football team tries to move the ball forward as many yards as possible on canplay, but sometimes they end up behind where they started. The distances, inyards, that a team moves on its first five plays are 2,-1,4,3, and -5. A positivenumber indicates moving the ball forward, and a negative number indicatesmoving the ball backward.Which number in the list is the greatest?

Emily is making bows using ribbon. She has two pieces of ribbon to use. One is 23 yards long. The other is 4 1/4 yards long. She need 1 5/6 yards of ribbon to make each bow. What is the greatest number of bows emily can make? Show your work

Answers

Answer:

14


Step-by-step explanation:

In total, Emily has  23+4(1)/(4)=27(1)/(4)=(109)/(4)  yards of ribbon.

Each bow requires  1(5)/(6)=(11)/(6)  yards of ribbon


To figure out, we divide total amount of ribbon by amount each bow needs:

Number of bows = ((109)/(4))/((11)/(6))=14.86


So the maximum number of "complete" bows Emily can make is 14

Final answer:

Emily has a total of 27 1/4 yards of ribbon. Each bow requires 1 5/6 yards, therefore Emily can make 14 bows with the ribbon she has.

Explanation:

To solve this problem, we first need to determine the total amount of ribbon that Emily has. She has one piece that is 23 yards long and another that is 4 1/4 yards long. To find the total, we add these two lengths together:

23 yards + 4 1/4 yards = 27 1/4 yards

Each bow Emily makes needs 1 5/6 yards of ribbon. To find out how many bows she can make, we divide the total amount of ribbon by the amount needed for each bow:

27 1/4 yards ÷ 1 5/6 yards = 14.6(around)

Since Emily cannot make a fraction of a bow, we round down to the nearest whole number. So, Emily can make 14 bows.

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If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fxg) (x)?

Answers

Answer:

(f* g) (x)=3x^3+2x^2+3x+2            

Step-by-step explanation:

Given : If f(x) = 3x + 2 and g(x)=x^2+1

To find : Which expression is equivalent to (f* g) (x)?

Solution :  

We can write,

(f* g) (x)=f(x)* g(x) ....(1)

We know, f(x) = 3x + 2 and g(x)=x^2+1

Substituting the values in (1),

(f* g) (x)=(3x+2)* (x^2+1)

Multiply term by term,

(f* g) (x)=3x^3+3x+2x^2+2

(f* g) (x)=3x^3+2x^2+3x+2

Therefore, The expression is equivalent to  (f* g) (x)=3x^3+2x^2+3x+2
f(x)=3x+2\nThe\ domain\ D_f=\mathbb{R}\n\ng(x)=x^2+1\nThe\ domain\ D_G=\mathbb{R}\n\nD_f=D_g\ therefore\ (f* g)(x)=f(x)* g(x)\n\n(f* g)(x)=(3x+2)(x^2+1)=3x^3+3x+2x^2+2=\boxed{3x^3+2x^2+3x+2}

Simplify the expression as much as possible: 6(31/5)(21/3)=

Answers

Final answer:

The expression 6(31/5)(21/3) can be simplified by doing the division first, then multiplication. The final answer is 260.4.

Explanation:

To simplify the expression 6(31/5)(21/3), we must first perform the operations inside the parentheses, the division operations, and then multiply the results together with the other number, 6.

First, perform the division operations in each set of parentheses: (31/5) equals 6.2 and (21/3) equals 7.

Then multiply these two results together: 6.2 times 7 equals 43.4.

Lastly, multiply this result by 6: 43.4 times 6 equals 260.4.

So the expression 6(31/5)(21/3) simplifies to 260.4.

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Help please asap! Struggling with math graph problem

Answers



We're told (5,-2) is on the line, that's x=5, y=-2


First one y-5 = -7, (x+2)/3=7/3, not equal


Second one y+5=3, (x-2)/3=1, not equal


Third one y+2=0, (x-5)/3=0, TRUE, equal


Fourth one, y-2=-4 (5+5)/3=10/3, not equal



Answer: third choice y+2 = (1/3)(x+5)

Graph each piecewise function. Then Identify the properties.

Answers

Answer:

Shown below

Step-by-step explanation:

A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:

\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.

This function has been plotted below and we know some properties:

  • The domain is the set of all real numbers
  • The range is (-∞, ∞)
  • The function is the combination of a straight line and a parabola.
  • The point at which the line and the parabola meet is (0,4)

Point P(−4.05, −9.25) is a reflection across the y-axis of which of the following points?(−4.05, 9.25)
(−9.25, −4.05)
(4.05, −9.25)
(9.25, 4.05)

Answers

reflection across the y-axis = opposite x coordinate, the same y coordinate
ans: (4.05, −9.25)

The answer to your question is (4.05, −9.25)


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