MATHEMATICS MIDDLE SCHOOL

A triangle has sides with lengths of 5x-7, 3x-4, and 2x-6. What is the perimeter of the triangle?

Answers

Answer 1

Answer:

(5x-7)+(3x-4)+(2x-6)

=5x-7+3x-4+2x-6

=[5x+3x+2x]+[(-7)+(-4)+(-6)]

=10x-17

⇒The perimeter of the triangle: 10x-17.

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The cost, C, of an item (the price paid by a retailer) plus the markup, M, on that item (the retailer's profit) equals the selling price, S, of the item. The formula is Upper C plus Upper M equals Upper S. The selling price of a computer is $1770. If the markup on the computer is $130, find the cost to the retailer for the computer.

Answers

Answer: so if C+M=S

You have to subtract selling price and markup to find the seller cost

Step-by-step explanation:

S=1770

M=130

C=1640

S-M=C

Edward buys a novel for $8.40 and a bookmark for $1.20 from a bookstore. The store is having a sale, and everything is 35% off! How much does Edward pay for both items ( not including tax )?

Answers

Let's start with calculating the $8.40 novel with the 35% off.

First, we need to convert the percentage (35%) into a decimal. We can do this by dividing the percentage over 100.

35/100 = 0.35

Now, our next step is to find 0.35% of $8.40 (original price of the novel). To do this, you need to multiply the percentage by the original price.

0.35% × $8.40 = 2.94

What we recently received (2.94), is the amount of money that we are saving from the sale. The original price of the novel was $8.40, and with the 35% off, we are saving $2.94 on it.

Our last step is to subtract the original price and the sale.

$8.40 - $2.94 = $5.46

Now - we know that our new cost just for the novel is $5.46.

------

Moving on to the bookmark which costs $1.20, we can start by taking our percentage from last time (0.35) and instantly start multiplying just like we did on the novel.

0.35% × $1.20 = $0.42

So, with the 35% discount, you are saving $0.42 on the bookmark. Let's subtract and find the total amount Edward is having to pay now.

$1.20 - $0.42 = $0.78

He will purchase the bookmark for only $0.78.

-----------

Our final step is to add both the novel and bookmark up to find the total price overall.

$5.46 + $0.78 = $6.24

Edward will have to pay $6.24 for both the novel and bookmark.

$8.40*0.65(the new price 65% of the original price that Edward needs to pay)=$5.46 $1.20*0.65=$0.78 5.46+0.78=$6.24

Which exponential function goes through the points (1,8) and (4,64)?A) f(x)=4(2)^x

B) f(x)=2(4)^x

C) f(x)=4(2)^-x

D) f(x)=2(4)-x

Answers

Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.

Your answer is B) f(x)=2(4)^x

a seamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches each. how many of the shorter pieces can she cut?

Answers

In this question the vital information that a person needs to have is the conversion of yard to inches. Once that is done, the question becomes easy as most of the required information's are already given in the question.
1 yard = 36 inches
Then
3 yards = 36 * 3 inches
   = 108 inches.
Now let us get down to finding the answer to the question.
Length of the cloth that needs to be cut into shorter lengths = 3 yards
      = 108 inches
Length of the shorter pieces = 16 inches
Then
umber of shorter pieces that can be cut = 108/16
   = 6.75
So from the above deduction we can easily conclude that 6 shorter pieces of 16 inches can be cut and still there will be a little excess piece of cloth remaining.

She can cut 6.75 shorter pieces of cloth

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions is

$\displaystyle (7)/(3) =2(1)/(3)$

Mixed fractions consist of whole number and proper fractions

a seamstress cuts a piece of cloth that is 3 yards long into shorter lengths of 16 inches each.

we translate this sentence into Arithmetic operations

$\displaystyle 3~yards/16~inches$

Because One yard is equal to 36 inches,

3 yards = $\displaystyle 3*36$

3 yards = $\large{\boxed{\bold{108~inches}}}$

then equation becomes :

$\displaystyle 108~inches/16~inches$

$\large{\boxed{\bold{6.75`pieces}}$

or as mixed fraction :

$\displaystyle 6(75)/(100)$

$\boxed{\bold{ 6(3)/(4)}}$

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Keywords: division, cloth, yards, inches

Find the slope of the line (in the image I provided).A) Slope = $(1)/(6)$

B) Slope = 6

C) Slope = - $(1)/(6)$

D) Slope = -6

Answers

Answer:

(D)

Step-by-step explanation:

Slope : ( y2 - y1 )/( x2 - x1)

slope : ( -2 - 4 )/( - 3 + 4)

slope: ( -6 )/( 1 )

slope : -6

Suppose 48.6 liters of water came out of a faucet today. If 4.5 liters of water come out each minute, for how many minutes was the faucet on?

Answers

4.5*x=48.6

48.6-4.5=44.1

4.5x11=49.5-44.1=45.4+3.2=48.6

so it was on for 11 min

Final answer:

The faucet was turned on for approximately 10.8 minutes.

Explanation:

This problem pertains to the division operation in mathematics. Given that 48.6 liters of water came out of the faucet and that 4.5 liters come out each minute, we can find the time the faucet was on by simply dividing the total volume by the volume per minute: 48.6 liters / 4.5 liters per minute which equals approximately 10.8 minutes. Therefore, the faucet was on for approximately 10.8 minutes.

Learn more about Division operation here:

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#SPJ2

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