MATHEMATICS HIGH SCHOOL

Adam, Beth, and Carly walked a total of 10 miles collectively. Beth walked twice as far as Adam, and she walked a half a mile further than Carly. If a = number of miles Adam walks, b = number of miles Beth walks, and c = number of miles Carly walks, which equation is NOT true for this situation?A) b = 2a
B) b = c + 0.5
C) 3a + c = 10
D) a + 2c = 10.5

Answers

Answer 1

Answer: D) a+2c=10.5

Since b=c+ $(1)/(2)$
a+b+c=10
a+(c+1/2)+c=10
a+2c+1/2=10
a+2c=9.5

Answer 2

Answer:

Answer: Option 'D' is not correct.

Step-by-step explanation:

Since we have given that

Total distance walked by Adam , Beth, and Carly = 10 miles

Let number of miles Adam walks be a

Let number of miles Beth walks be b

Let number of miles Carly walks be c

According to question,

Beth walked twice as far as Adam

So, the equation will be

$b=2a$

Thus, Option 'A' is satisfied.

Now, Beth walked a half a mile further than Carly.

So, the equation will be

$b=c+0.5$

Thus, Option 'B' is correct.

Now, we substitute the first equation, then we get

$a+b+c=10\na+2a+c=10\n3a+c=10$

Thus, Option 'C' is correct.

The only incorrect equation is Option 'D' .

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Please help I'm so confused rn so please helppp!!!!!
look at the screenshot

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Answer:

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PLEASE HELP ME ASAP!!! WILL MARK BRAINLIEST!!!In mathematics, we often discuss modeling. In geometry, we model the physical world with different shapes. In algebra, we model situations of change and variability with functions.

Where else have you heard the term model? How is that meaning of the word different from or the same as the meaning we use in algebra? good answers only

Answers

Answer:

The definition of a model is a specific design of a product or a person who displays clothes, poses for an artist. An example of a model is a hatch back version of a car. An example of a model is a woman who wears a designer's clothes to show them to potential buyers at a fashion show. Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

2m-7greater than or equal to 13-2m

Answers

$2m-7 \geq 13-2m \ \ |+2m\n \n 2m+2m-7 \geq 13-2m+2m \n \n4m-7\geq 13 \ \ |+7 \n \n4m-7 +7\geq 13+7\n \n4m\geq 20 \ \ / :4 \n \n (4)/(4)\cdot m\geq (20 )/(4)\n \nm\geq 5$

The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base? a. 6
b. 3
c. 4
d. cannot be determined

Answers

The only thing I'm a little unclear on here is what you mean by
the "legs" of an isosceles triangle.

I'm going to assume that your isosceles triangle is standing on
the side you call the "base", and the "legs" are the two slanty ones,
standing up, which are the two equal sides.

With that set-up,    x + 1 = -x + 7

Add x to each side:    2x + 1 = 7

Subtract 1 from each side: 2x      = 6

Divide each side by 2 : x   =    3

Finally, if the base is (3x - 3), then that's (3·3 - 3) = 6 .

Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

Answers

This is the sum of the arithmetic sequence:
10 - 2 + 6 + 14 + ... + 110
where: a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n )
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.

The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How far do riders travel on the lift? Round your answers to the nearest whole number.

Answers

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

$Sin\theta =(Perpendicular)/(Hypotenuse)$

$Sin22.3^(\circ) =(AB)/(AC)$

$AC=(2600)/(Sin22.3^(\circ))$

$AC=(2600)/(0.379456159529)$

$AC=6851.9$

So, riders travel 6852 feet .

The y distance of this problem is 2600 with an angle of elevation of 22.3 degrees. This angle is measured from the horizontal. This problem is solved using the Pythagorean theorem where 2600 is the opposite and we are to solve the hypotenuse. It is solved by the equation sin(theta) = opposite /hypotenuses. Plug in the given and the answer is 6852 feet.

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2x-7y=16, 3y=7-x solve by elimination

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