A shoe store is having a sale where every pair of shoes cost $15. If you buy more than five pairs, you get a 10℅ discount. How much will it cost for seven pairs of shoes? is A. $70 B. $88.25 C. 94.50 D. $105

Answers

Answer 1

Answer: The answer is 94.50 so C. I hope this helped. :)

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Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers

Answers

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?

Answers

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. the top of The ladder reach up to 9.2 feet high approximately

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Ladder = 10 foot

Bottom of ladder = 4 feet away from the bottom of tree

H² = A² + B²

10² = A² + 4²

A = 9.16

Therefore, the top of the ladder reach upto 9.2 feet high.

To know more about Pythagoras theorem check:

brainly.com/question/343682

#SPJ2

Answer:

i took this quiz and the right answer is 9.2 feet good luck

Step-by-step explanation:

The cost C, in dollars, of building m sewing machines at Sienna’s Sewing Machines is given by the equation: C(m) = 20m^2 - 830m + 15,000
(a) Find the cost of building 75 sewing machines.
(b) How many sewing machines should the company manufacture
to minimize the cost C?

Answers

OK. So the cost to manufacture any number 'm' machines is

   C(m) = 20m^2 - 830m + 15,000 .

Whatever number of machines you're interested in, you write
that number in place of 'm', and this equation tells you the cost
for that many.

Examples:

-- The cost to manufacture zero sewing machines ... what the
company had to invest in equipment and building space before
they could even start manufacturing anything:

C(m) = 20m^2 - 830m + 15,000

C(0) = 20(0)² - 830(0) + 15,000 = 15,000 .

-- The cost to manufacture one sewing machine ... buy the
building, set up the manufacturing equipment, and turn out
the first one:

C(m) = 20m^2 - 830m + 15,000

C(1) = 20(1)² - 830(1) + 15,000 = 14,190 .

Now, part-a) wants to know the cost to build 75 sewing machines.
If you've been paying attention so far, you know you have to take
the same equation, and write '75' in place of 'm'.

   C(m) = 20m^2 - 830m + 15,000

   C(75) = 20(75)² - 830(75) + 15,000

   = 20(5,625) - 830(75) + 15,000

   = 112,500 - 62,250 + 15,000 = 65,250 .
===================

Now you need to find the number of sewing machines
that can be built for the lowest total cost.

I'm sure you noticed that the equation for the cost C(m) is a
quadratic equation. So if you drew it on a graph, it would be
a parabola. It would have a minimum value at some 'm', and
for greater 'm', it would start going up again.

(Why should your cost start increasing past some number of
sewing machines ? Well, maybe the manufacturing equipment
is starting to wear out, and needs repair more often. All of that
is actually built into the equation for C(m) . )

Now, I'm not sure what method you've learned for finding the
minimum value of a parabola (quadratic equation). Here are
the two ways I know:

Way #1). If you've had some pre-calculus, then you'll take the
derivative of the equation, set the derivative equal to zero, and
that leads you to the minimum:

The equation:    C(m) = 20m^2 - 830m + 15,000

Its first derivative:       C'(m) = 40m - 830

'C'; is minimum when C'=0 : 40m - 830 = 0

Add 830 to each side: 40m = 830

Divide each side by 40 : m = 20.75

The number of sewing machines manufactured for the
minimum total cost is 20 or 21 .

Way #2). Really the same as Way-#1 but it's not called 'derivative'.

I looked online for rules of parabolas, and found the one that
you may have learned to use:

   For the quadratic expression Ax² + Bx + C ,
   the axis (midline) of the parabola is at
   x = - B / 2A .

That's exactly what we need.
Our equation is C(m) = 20m^2 - 830m + 15,000

so the axis of the parabola is at m = - (-830)/2(20)

   = 830/40 = 20.75 .

Same as Way-1 .

so basically function of m (f(m) or in this case C(m)) means the price
so just input the value you put for m for all the other m's in the problem
ex. if you had f(x)=3x and you wanted to find f(4) then you replace and do f(3)=3(4)=12 so f(3)=12 and so on

A. cost of 75 sewing machines
75 is the number you replace m with
C(75)=20(75)^2-830(75)+15,000
simplify
20(5625)-62250+15000
112500-47250
65250
the cost for 75 sewing machines is $65,250

B. we notice that in the equation, that the only negative is -830m
so we want anumber that will be big enough to make -830m destroy as much of the other posities a possible

-830m+20m^2+15000
try to get a number that when multiplied by 830, is almost the same amount as or slightly smaller than 20m2+15000 so we do this
830m<20m^2+15000
subtract 830m from both sides
0<20m^2-830m+15000
factor using the quadratic equation which is
(-b+ the square root of (b^2-4ac))/(2a) or (-b- the square root of (b^2-4ac))/(2a)
in 0=ax^2+bx+c so subsitute 20 for a and -830 for b and 15000 for c
you will get a non-real result I give up on this meathod since it gives some non real numbers so just guess

after guessing and subsituting, I found that the optimal number was 21 sewing machines at a cost of 6420

A baseball stadium holds 42,000 people. The number for Saturday's attendance contains a 4 with a value 1/10 the value of the 4 in 42,000. Which could be Saturday's attendance? 402,510, 34,612, 25,420, or 40,965

Answers

Answer:

Saturday's attendance could be : 34,612

Step-by-step explanation:

A baseball stadium holds 42,000 people.

Here '4' is at the ten thousands place.

The number for Saturday's attendance contains a 4 with a value 1/10 the value of the 4 in 42,000.

Means the '4' must be at one place less than ten thousand, that is thousand place.

Hence, out of the given options, 34612 is the only option that has '4' on thousand place.

Therefore, the answer is option B.

34,612

1/10th of 40000= 4000.
The number 34,612 the 4 is in the thousandths spot

A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

To get the number of times faster the Sparrow’s heart beat compared to the human heart, we divide the number of times the Sparrow’s heart beat compared to a human’s

That will be;

(241,776,000)/(1,533,000) = 157.7142857142857

Now, we want to use a single digit times a power of 10

That will be 1.577 * 10^2

Since it is a single digit, it will be 2 * 10^2