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serious [3.7K]
3 years ago
12

The speed of train a is 16 mph slower than the speed of train

Mathematics
1 answer:
xenn [34]3 years ago
3 0
Let n be the speed of train b, and n-16 be the speed of train a. Then:
190/n-16=270/n
190n=270n-4320
80n=4320
n=54 mph
n-16=38 mph
☺☺☺☺
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It is a well-known fact that Dr. Barnes rides a skateboard, sometimes even on campus. Suppose that Dr. Barnes selects a skateboa
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75%.

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3 years ago
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IRINA_888 [86]

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

\frac{( {x}^{5}y  {z}^{4} )^{3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{5 \times 3}y^{3}   {z}^{4 \times 3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{15}y^{3}   {z}^{12} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\  {x}^{15 - 3}  {y}^{3 - 1}  {z}^{12 - 1} =  {x}^{a}  {y}^{b}  {z}^{c} \\  \\  {x}^{12}  {y}^{2}  {z}^{11} =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ equating \: like \: terms \: from \: both \: sides \\  \\  {x}^{12}  =  {x}^{a}  \:  \implies \: a = \boxed{ 12}\\  \\  {y}^{2}  =  {y}^{b}  \:  \implies \: b = \boxed{ 2} \\  \\  {z}^{11}  =  {z}^{c}  \:  \implies \: c = \boxed{ 11}

3 0
3 years ago
Plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ
Liula [17]
<h2>○=> <u>Correct option</u> :</h2><h2>\color{hotpink}\bold{ (a) \: 130}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

=\tt 3p + 1 + p + 7 = 180

Let us solve that equation to find the value of p and the two angles :

=\tt 3p + 1 + p + 7 = 180

=\tt 3p + p + 1 + 7 = 180

=\tt 4p + 8 = 180

= \tt4p = 180 - 8

= \tt4p = 172

=\tt p =  \frac{172}{4}

\hookrightarrow \tt  \color{plum}p = 43

Thus, value of p = 43

Measure of angle (p+7)° :

=\tt 43 + 7

\tt\color{plum}angle \: (p + 7)° =\tt 50°

Measure of angle (3p+1)° :

=\tt 43 \times 3 + 1

= \tt129 + 1

\tt\color{plum}angle \: (3p + 1)° = 130°

Thus, the measure of the larger angle = 130°

Therefore, the correct option is <em>(a) 130</em>

3 0
2 years ago
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