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Keith_Richards [23]
3 years ago
8

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is

Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

Answer:

The System of equation is x+y=29, 5x + 2y = 100.

Step-by-step explanation:

Given:

Let 'x' be the number of questions worth 5 points.

Let 'y' be the number of questions worth 2 points

Total Number of Problems = 29

So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.

Framing in equation form we get;

x+y=29.

Also Given:

Test is of Total Points = 100

Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by  and the number of questions worth 2 points multiplied by 2.

Framing in equation form we get;

5x+2y=100

Hence The System of Equations are \left \{ {{x+y=29} \atop {5x+2y=100}} \right..

sashaice [31]3 years ago
7 0

I hope you did great! but i have to use this im very sorry

Step-by-step explanation:

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the
Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

8 0
3 years ago
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
3 years ago
K is no greater than 9?<br><br> Write&gt;,&lt;.
alekssr [168]
Greater than symbol is ">"
But since he mentioned "NO greater than" then it's the opposite of greater than, which means "K" is less than "9"

K<9
4 0
3 years ago
What is 75% of 35 feet?
AleksandrR [38]

Answer:

26.25 feet

Step-by-step explanation:

A percentage is simply a ratio of the whole.  If we assume 35 feet to be 100%, or the whole, then we can say the following:

0.75 * 35 == 26.25

Hence, 75% of 35 feet is 26.25 feet.

Cheers.

6 0
3 years ago
Which is the best estimate for the product of 104.143 × 10,021.4? A. 1,000,000 B. 100,000 C. 10,000 D. 1,000
Serhud [2]
The correct answer.would be A. because 100 x 10,000 is 1,000,000. You just need to round then multiply. -I hope this helps you out. :)
3 0
3 years ago
Read 2 more answers
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