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Scilla [17]
3 years ago
6

What is the algebraic expression for the following word phrase: the quotient of y and 6

Mathematics
1 answer:
rodikova [14]3 years ago
8 0

A quotient is the answer that results from a number being divided by another number. In other words, it is the answer to a division problem. So, the quotient of y and 6 means that y is being divided by 6. Algebraically, you write this as y ÷ 6, or \frac{y}{6}

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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
aleksandr82 [10.1K]

Answer:

B = 108

C = 36

D = 36

Step-by-step explanation:

Given

B =13x - 35

C = 5x - 19

D=2x+14

BC = BD

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

B + C + D = 180

Since BC = BD, then C = D

B + C + D = 180 can then be rewritten as:

B + C + C = 180

B + 2C = 180

Substitute values for B and C

13x - 35 + 2(5x - 19) = 180

Open Bracket

13x - 35 + 10x - 38 = 180

Collect Like Terms

13x + 10x = 180 + 38 + 35

23x= 253

Divide both sides by 23

x = 11

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

B =13x - 35

B = 13 * 11 - 35

B = 108

C = 5x - 19

C = 5 * 11 - 19

C = 36

D=2x+14

D = 2 * 11 + 14

D = 36

5 0
3 years ago
A new taxi company, Littleton Cabs, just opened in town. A cab ride for m miles costs 8.5+2m dollars. Polly took a 14-mile cab r
Brilliant_brown [7]

Answer:

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Step-by-step explanation:

To find the price she paid, plug in 14 as m and simplify:

8.5 + 2m

8.5 + 2(14)

8.5 + 28

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So, Polly paid $36.50

4 0
3 years ago
The circumference of a circle is 31.4 centimeters. what is the area of the circle?
icang [17]

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Step-by-step explanation:

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2 years ago
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irakobra [83]

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope and different y-intercept

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as these slopes have neither the answer in NEITHER

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An airplane flies 24miles in 6mins ?
Anvisha [2.4K]
WHAT ARE YOU TRYING TO FIGURE OUT WITH THIS ONE HOW MANY MILES IT FLEW TOTAL IT WOULD BE 24 TIMES 6 TO EQUAL 144
6 0
3 years ago
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