MATHEMATICS HIGH SCHOOL

A recipe calls for 10 cups of oatmeal. Benjamin wants to make 1/5 fewer servings than the recipe makes.Which expression represents how many cups of oatmeal Benjamin should use?

A.
0.8 * 10

B.
1.8 * 10

C.
0.2 * 10

D.
1.2 * 10

Answers

Answer 1
Answer: the answer is c: .2 cups of oatmeal
Answer 2
Answer:

Answer:the answer is c: .2 cups of oatmeal


Step-by-step explanation:

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Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.How far has the cyclist going west traveled?

Answers

Answer:

Distance traveled by bicyclist traveling west  = 15 miles

Step-by-step explanation:

Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.

These two cyclists travel at angle 90°

Relative displacement can be calculated using Pythagoras theorem.

Let d be the distance traveled by bicyclist traveling west

Distance traveled by bicyclist traveling north =  d + 5

25^2=d^2+(d+5)^2\n\nd^2+d^2+10d+25=625\n\n2d^2+5d-600=0\n\nd^2+5d-300=0\n\nd=(-5\pm √(5^2-4* 1* (-300)))/(2* 1)\n\nd=(-5\pm √(25+1200))/(2)\n\nd=(-5\pm √(1225))/(2)\n\nd=(-5\pm 35)/(2)\n\nd=15miles\texttt{ or }d=-20miles

Negative displacement is not possible.

Hence d = 15 miles

Distance traveled by bicyclist traveling west = d = 15 miles
This  situation is represented  in annex. 
From Pythagorean theorem you've got equation:
x^2+(x+5)^2=25 \n \n \hbox{From formula} \ \ \ (a+b)^2 = a^2+2ab+b^2: \n \n x^2+x^2+10x+25=25 \n 2x^2+10x=0 \n \n \hbox{Factor out} \ \ 2x: \n 2x(x+5)=0 \n \n \hbox{So you've got:} \n \n x_1=0 \n x_2=-5

There isn't any solutions where x>0, so this situation is IMPOSSIBLE.

Did you write correctly this question....?

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Answers

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The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first six terms?

Answers

Hello,

Ok, i have seen the mistake the answer is 4095.


u_(1)=3\nu_(2)=?\nu_(1)+u_(2)=15==>u_(2)=15-3=12=4*3
u_(1)+u_(2)+...u_(6)=3+3*4^1+3*4^2+...+3*4^5\n=3*(1+4+4^2+4^3+...+4^5)=3*(4^6-1)/(4-1)=3*(4^6-1)/3=4095

Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in the sample is 0.05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample?A) 0%
B) greater than 0% and less than 0.05%
C) 0.05%
D) greater than 0.05%

Answers

Answer: option C) 0.05%

In a normal distribution there are no biases, the chances (probabilities) of any member to be selected are the same. So, the chance to choose Pablo are the same that the chance to choose Dawn.

Answer:

C. 0.05%

Step-by-step explanation:

NONE

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Answers

So we want to know which number comes next in the series of numbers 107 98 90 83 77. First we find the pattern: 107-98=9, 98-90=8, 90-83=7, 83-77=6 so now we see that each number in the pattern is smaller by 1 than the previous number. so the next number will be 5 and 77-5=72 and that is the next number. Also the complete number series is: 72-4=68, 68-3=65, 65-2=63, 63-1=62 and finally 62-0= 62.

Confused, please help. “Use the figure below to approximate the value

Answers

Answer:F(1)=-2x-2

Step-by-step explanation:

The line's slope intersects the Y-axis at -2, and it passes through the point (-2,2). If you remember the rule of run over rise, you can find the slope. The rise is 4 units as the line moves up from the point (-2,2), and the run is 2 units as the line moves over to the point where it intersects the Y-axis at -2. So, the slope is 4/2, which simplifies to 2 or -2(-2). I apologize for any grammar errors in my previous message, but the answer is correct either way.
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