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77julia77 [94]
2 years ago
4

What is the product? StartFraction 2 a minus 7 Over a EndFraction times StartFraction 3 a squared Over 2 a squared minus 11 a +

14 EndFraction
Mathematics
2 answers:
Ne4ueva [31]2 years ago
6 0

Answer:

The product is \frac{3a}{a-2}.

Step-by-step explanation:

The expression is:

\frac{2a-7}{a}\times \frac{3a^{2}}{2a^{2}-11a+14}

Simplify as follows:

\frac{2a-7}{a}\times \frac{3a^{2}}{2a^{2}-11a+14}=(2a-7)\times \frac{3a}{2a^{2}-7a-4a+14}

                             =(2a-7)\times \frac{3a}{a(2a-7)-2(2a-7)}\\\\=(2a-7)\times \frac{3a}{(a-2)(2a-7)}\\\\=\frac{3a}{a-2}

Thus, the product is \frac{3a}{a-2}.

antoniya [11.8K]2 years ago
6 0

Answer:

the answer to this question is B.

Step-by-step explanation:

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The table shows the ratio of cups of water to cups of juice needed for a certain number of servings. A 3-column table has 3 rows
SSSSS [86.1K]

Answer:

5:10

Step-by-step explanation:

8 0
2 years ago
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Estimate 58% of 121 by using 10%
kvv77 [185]
58% is about equal to 60%, 10% of 121 is 12.1.
12.1 * 6 = 72.6
To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.
72.6  - (1.21 * 2) = 72.6 - 2.42 = 70.18
5 0
2 years ago
Three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of so
mojhsa [17]
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
     y cost of soda
     z cost of salad
 
two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14

one small pizza, a liter of soda, and three salads cost $15

x + y + 3z = 15

three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22

Solving for x, y and z, we will have:

x = $ 5
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6 0
2 years ago
Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
sergejj [24]

Answer: Answer is 3

BC        6

------ = ------

XY         3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.  

A B Over X Y = 4 Over 2

?  

A C Over X Z = 52 Over 13  

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1.   Y Z Over B C = 6 Over 3  

2.  ∠B ≅ ∠Y

3.  B C Over Y Z = 6 Over 3  

4.  ∠B ≅ ∠Z

5 0
2 years ago
Read 2 more answers
Assume ABC DEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F? A. 63 B. 70 C. 47 D. Cannot be determined
kipiarov [429]
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.

Given:
m∠A = 70
m∠B = 47
m∠C = 63

Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.

m∠D = 70
m∠E = 47
m∠F = 63

The measure of angle F is 63.

5 0
2 years ago
Read 2 more answers
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