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zubka84 [21]
3 years ago
7

A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T

he student writes this proportion: StartFraction 4 over 6 EndFraction = StartFraction 24 over 16 EndFraction Explain the error in the student's work.
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0

Answer:

Values are switched, ratio should be 16/24

Step-by-step explanation:

The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:

\frac{4\ oranges}{6\ ounces}=\frac{24\ oranges}{16\ ounces}

To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:

\frac{4\ oranges}{6\ ounces}=\frac{16\ oranges}{24\ ounces}

The ratio should be 16/24

WITCHER [35]3 years ago
6 0

sample explanation:

The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in the proportion as the first ratio.

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The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?
Westkost [7]

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

                                   x > 8

 

So when we combine these together,  

 

   8 < x < 16

 

X (the third side) must be a number between 8 and 16. but not including 8 and 16

7 0
2 years ago
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.
blsea [12.9K]

Answer:

\textbf{$P(S \cap T) = \frac{89}{90}$ }\\

Step-by-step explanation:

\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup  P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\

$ \implies P(S \cup T) = \frac{89}{10}$

6 0
3 years ago
Tom solved the problem a different way. First he found the total area of the floor, and then he multiplied by the height. Does T
Anastasy [175]
No.

Tom forgot about the area of the top/roof, the floor and roof are different dimensions/areas, making his method incomplete.

He needs to find area of Roof, Floor then times height.
5 0
3 years ago
Read 2 more answers
school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the
tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, l=\frac{3}{8}\textrm{ ft}

Total length of the board, L=9\textrm{ ft}

Therefore, the number of woods that can be made using the given board is given as:

\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24

So, he can make 24 woods of length \frac{3}{8}\textrm{ ft} using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

3 0
3 years ago
Please help!<br> I don't know how to read/answer the image
rusak2 [61]

Answer:

SAS

Step-by-step explanation:

SSS= Side Side Side

SAS= Side Angle Side

ASA= Angle Side Angle

SAA= Side Angle Angle

HL= Height Length

7 0
3 years ago
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