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Pavel [41]
2 years ago
10

HELPP ASAPPPP Evaluate the expression 10m - 11 if m=4

Mathematics
2 answers:
Rama09 [41]2 years ago
6 0

Answer:

10m -11 ( plug in the given value for m)

10 (4) -11  (do multiplication first because of PEMDAS)

40 -11  (subtract)

29 (the answer)

Tcecarenko [31]2 years ago
3 0

Answer:

is the answer 45444.2453 jd

Step-by-step explanation:

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Two cars leave towns 750 kilometers at the same time and travel toward each other. One car's rate is 12 kilometers per hour less
andreev551 [17]

If the distance between the two twons equals 750 km, and the cars met at some point on the road then the distance of the first car added to the distance of the second car equals 750 km, like this:

d1 + d2 = 750

Where d1 is the driven distance by the first car and d2 is the driven distance by the second car.

Distance, is the product of speed and time, then we can rewrite the above equation like this:

s1×t + s2×t = 750

S1 is the speed of the first car and s2 is the speed of the second time, t is the time. We already know that the time it took the cars to meet each other equals 5 hours, then, by replacing 5 for t into the above expression, we get:

s1×5 + s2×5 = 750

5(s1 + s2) = 750

We are also told that the speed of the first car is 12 less than the speed of the second car, this means that the speed of the first car equals the speed of the second one minus twelve. Then we can formulate the following expression for the speeds of the cars:

s1 = s2 - 12

By replacing s2 - 12 for s1 into 5(s1 + s2) = 750 we get:

5(s1 + s2) = 750

5(s2 - 12 + s2) = 750

5(s2 + s2 - 12) = 750

5(2s2 - 12) = 750

By dividing both sides by 5, we get:

(2s2 - 12) = 750/5

2s2 - 12 = 150

By adding 12 on both sides:

2s2 = 150 + 12

2s2 = 162

Finally, by dividing by 2 on both sides:

s2 = 162/2

s2 = 81

Now that we know that the speed of the second car, equals 81, we can find the speed of the first car by means of the formula s1 = s2 - 12, then we get:

s1 = s2 - 12

s1 = 81 - 12

s1 = 69

Then, the speed of the slower car equals 69 kilometers per hour

7 0
1 year ago
A team photo was enlarged and made into a poster fo the basketball banquet using a scale factor of 4/1. If the actual photograph
Helen [10]

Answer:

The width of the poster is 32 inches.

Step-by-step explanation:

8*4=32

8 0
2 years ago
write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t
LenKa [72]

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept (the y value when x = 0)


First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{6-9}{-3-4}

m=\frac{-3}{-7} =\frac{3}{7}



A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7


y = 3/7x + b    To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b    Subtract 6 on both sides

2 = b


y=\frac{3}{7}x+2



B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2


Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b    Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b   Add 98/3 on both sides

8 + 98/3 = b       Make the denominators the same

24/3 + 98/3 = b

122/3 = b


y=-\frac{7}{3}x+\frac{122}{3}

7 0
3 years ago
50 POINTS QUESTION ATTACHED. CHOOSE TWO CORRECT ANSWERS!
OlgaM077 [116]

Answer:

B and D

Step-by-step explanation:

A difference of squares has the form a² - b²

4p² - 9 = (2p)² - 3² ← is a difference of squares

q² - 36 = q² - 6² ← is a difference of squares

4 0
2 years ago
If you drew a horizontal line on the coordinate plane, what could you say about the y-coordinate for every point on the line?
sattari [20]
It's the y intercept.
If y = a then every point on the line would be (x,a)
The lines slope is 0.  I know that has nothing to do with the question, but it is true and it gives me 3 things to tell you.  
6 0
2 years ago
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