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natulia [17]
3 years ago
5

Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the

unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

The unit price is the price of a single unit.

To find it, you need to find the quotient between the total price and the number of objects you get for that price.

Brand A:

You get 25 spoons for $1.97

Then the unit price is:

unit price of brand A = $1.97/25 = $0.079

Brand B:

You get 48 spoons for $2.98

Then the unit price is:

unit price of brand B: $2.98/48 = $0.062

Here we can see that the unit price for brand B is smaller, then the better buy is brand B.

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Write the equation of line perpendicular to y = 4 that passes through (5, 2).
NNADVOKAT [17]
Answer:
x=5

Explanation;
y=4 is a horizontal line, and we know this because all we have is the y intercept; 4 (the y-intercept is the point on the line that intercepts the y axis) There is also no x value. This is the equation for a horizontal line:

y=b
B is the y-intercept.

A line perpendicular to a horizontal line would be a vertical line. This is the equation for a vertical line:

x=d
D is the x-intercept (the point on the line that intercepts the x axis)

So to answer the question, we just need to plug the x value of the point (5,2) into x=d.

(5,2)-> 5 is the x coordinate

Therefore, x=5

I hope this helps! Please comment if you have any questions.
4 0
3 years ago
What expression is equivalent to the expression below ?m+3/m^2-16/m^2-9/m+4
expeople1 [14]

Answer:

\large\boxed{\dfrac{1}{(m-4)(m-3)}=\dfrac{1}{m^2-7m+12}}

Step-by-step explanation:

\dfrac{\frac{m+3}{m^2-16}}{\frac{m^2-9}{m+4}}=\dfrac{m+3}{m^2-16}\cdot\dfrac{m+4}{m^2-9}=(*)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\m^2-16=m^2=4^2=(m-4)(m+4)\\m^2-9=m^2-3^2=(m-3)(m+3)\\\\(*)=\dfrac{m+3}{(m-4)(m+4)}\cdot\dfrac{m+4}{(m-3)(m+3)}\\\\\text{cancel}\ (m+3)\ \text{and}\ (m+4)\\\\=\dfrac{1}{m-4}\cdot\dfrac{1}{m-3}=\dfrac{1}{(m-4)(m-3)}\\\\\text{use\ FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=\dfrac{1}{(m)(m)+(m)(-3)+(-4)(m)+(-4)(-3)}\\\\=\dfrac{1}{m^2-3m-4m+12}=\dfrac{1}{m^2-7m+12}

4 0
4 years ago
Insert grouping symbols to make the number sentence true. 3.4 + 6 -2.3=24
expeople1 [14]
This is an idiotic man at its finest you need help










Nn
3 0
2 years ago
Find the Least Common Multiple of these two monomials:
____ [38]
LCM of 9 and 30  is 90

Its 90 a^2b^2c^3
5 0
3 years ago
Read 2 more answers
What is the value of the remainder if 10x^4 – 6x^3 + 5x^2 – x + 1 is divided by x – 3?
ludmilkaskok [199]

Answer: 691

<u>Step-by-step explanation:</u>

There are 3 different ways to find the remainder.  I am not sure which method you are supposed to use, so I will solve using all 3 methods.

Long Division:

       <u>  10x³ + 24x² + 77x + 230 </u>

x - 3 ) 10x⁴ -  6x³  + 5x²   - x  +  1

      - <u>(10x⁴ - 30x³) </u>   ↓       ↓      ↓

                   24x³ + 5x²     ↓      ↓

               - <u>(24x³ - 72x²) </u>   ↓      ↓

                              77x²  - x       ↓

                         -  <u>(77x² - 231x) </u>  ↓

                                        230x + 1

                                     - <u>(230x - 690)</u>

                                                    691 ← remainder

Synthetic Division:

x - 3 = 0   ⇒  x = 3

3  |  10     -6        5       -1        1

   |<u>   ↓      30     72    231    690</u>

      10      24     77    230   691 ← remainder

Remainder Theorem:

f(x) = 10x⁴ - 6x³ + 5x²  - x  +  1

f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3)  +  1

     =  810   - 162    + 45    -  3  +  1

     = 691

7 0
4 years ago
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