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3 years ago

Grade 8 Math

1 answer:

7 0

Read this sentence in the problem carefully.
"The number of pages in each program is determined by the number of graduates."

That means that you can have any number of graduates, and you will figure out the number of pages in the program depending on the number of graduates.

g, the number of graduates, is the independent independent variable.
p, the number of pages, is the dependent variable.

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

Find the factors of the following numbers. a) 15 b) 22 c) 34 d) 45 e) 50

slega [8]

Answer:

1,3,5,15

1,2,11,22

1,2,17,34

1,3,5,9,15,45

1,2,5,10,25,50

Step-by-step explanation:

Hope it will help u

3 0

3 years ago

Scored 72 times out of 150 what percent of his shots did he score?

Sholpan [36]

Whoever scored 72 shots out of 150. Did, In fact, score 48% of their shots.

Solution:
*To calculate the percentage represented by a ratio simply divide the numerator by the denominator and multiply by 100.

72:150 (72/150)

72/150

= 0.48

0.48(100) = 48

... 48%

6 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!!!!!

tresset_1 [31]

F( x ) = 0 => / x / = 0 => x = 0, where -2 <= 0 < 3 ;
x = 0 => f ( 0 ) = / 0 / = 0.

4 0

3 years ago

Line l has a slope of 98. The line through which of the following pair of points is perpendicular to l?

zysi [14]

m =( Y2 - Y1)/ (X2-X1)

m =( 3-(-5))/ (-6-3)

m = - 8/9

I am assuming you meant a slope of 9/8 in your original question, so the points perpendicular to I are answer D.

Perpendicular means the slope is opposite reciprocal of your first slope given.

8 0

3 years ago