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Likurg_2 [28]
3 years ago
12

Simplify the expression. 4+9⋅2÷3−1

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

4+9⋅2÷3−1

Use PEMDAS

P= parenthesis

E= exponents

M= multiplication

D= division

A= addition

S= subtraction

9*2= 18

4+18 ÷3-1

4+6-1

10-1

Answer: 9

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astra-53 [7]
6v-5/8=7/8
6v=12/8
v=12/8÷6
v=.25
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Explain the difference between |-3| and -3?
Ivan
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5 0
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2s+5<span>≥49

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7 0
3 years ago
corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?​
lana66690 [7]

<u>Complete Question:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

<u>Answer:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

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

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

           \text {velocity}=\frac{\text {distance}}{\text {time}}

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

            \text {distance}=\text {velocity} \times \text {time}

If 'v' is constant,

           \text {distance} \propto \text {time}

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

3 0
3 years ago
Given a triangle with vertices P(-9,7), Q(-3,7), and R(-3,1), and S is the midpoint of PQ and T is the midpoint of QR, what is t
Natalija [7]
Check the picture below.

so we know S is the midpoint of PQ, and T is the midpoint of QR, thus

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&P&(~ -9 &,& 7~) &#10;%  (c,d)&#10;&Q&(~ -3 &,& 7~)&#10;\end{array}\quad&#10;%   coordinates of midpoint &#10;\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)&#10;\\\\\\&#10;S=\left( \cfrac{-3-9}{2}~,~\cfrac{7+7}{2} \right)\implies S=(-6,7)\\\\&#10;-------------------------------

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&Q&(~ -3 &,& 7~) &#10;%  (c,d)&#10;&R&(~ -3 &,& 1~)&#10;\end{array}&#10;\\\\\\&#10;T=\left(\cfrac{-3-3}{2}~,~\cfrac{1+7}{2}  \right)\implies T=(-3,4)

so, what's the distance from S to T?

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&S&(~ -6 &,& 7~) &#10;%  (c,d)&#10;&T&(~ -3 &,& 4~)&#10;\end{array}\\\\\\ &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;ST=\sqrt{[-3-(-6)]^2+[4-7]^2}\implies ST=\sqrt{(-3+6)^2+(4-7)^2}&#10;\\\\\\&#10;ST=\sqrt{3^2+(-3)^2}\implies ST=\sqrt{18}\implies ST=\sqrt{9\cdot 2}&#10;\\\\\\&#10;ST=\sqrt{3^2\cdot 2}\implies ST=3\sqrt{2}

5 0
3 years ago
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