MATHEMATICS HIGH SCHOOL

Which of the following is the equation of a line that passes through the points (1,6) and (2,1)?A. y = -5x + 11
B. y = 2x + 1
C. y = 5x - 1
D. y = -5x + 1

Answers

Answer 1
Answer: Given:
(1,6) and (2,1)

I'll solve each equation with the corresponding x-values and see if it produces the correct y-values.

A) y = -5x + 11
y = -5(1) + 11 = -5 + 11 = 6
y = -5(2) + 11 = -10 + 11 = 1

Based on my first computation... Choice A. is the equation of a line that passes through the given points.

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The value of x is ____ °,and the value of y is____ °. this is really confusing help please..​

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

A group of employees bought a get-well gift for a coworker. The gift cost $46.06. If there are 22 employees in the group, how much does each employee need to contribute?

Answers

Assuming they all contribute the same amount, then each would need to give  $2.09, while one would have to give $2.10

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, how many ounces of hot dogs is he buying?

Answers

Answer:

120

Step-by-step explanation:

multipy 30 by 4 and you should get 120.

You can even do 30+30+30+30 and it will also add up to 120.

Round to the place value of the less precise measurement.
2.13 m + 8.6 m

Answers

The answer would be 10.19m. If you want to round it of to a less precise measurement it would be 10 m. That is rounding of the decimal value to the ones place. the rule of rounding of is form 6 t0 9 it would add 1 to the nearest place value next to it and 0 - 5 will not.

Which of the following sets of numbers could be the lengths of the sides of a triangle?a. 2 in., 4 in., 6 in.
b. 2 in., 4 in., 5 in.
c. 2 in., 6 in., 12 in.
d. 2 in., 8 in., 14 in.

Answers

ok
longest side measure must be less than the sum of the other 2 sides
basically
longestside<otherside1+otherside2

a.
longest is 6
6<4+2
6<6
false, cannot

b.
 longest is 5
5<4+2
5<6
true, can be a triangle

c. longest is 12
12<6+2
12<8
false, cannot

d. longest is 14
14<8+2
14<10
false, cannot


B is only possible

At a hockey game, a vender sold a combined total of 176 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer:

Hot dogs sold: 44

Sodas sold: 132

Step-by-step explanation:

This is is a problem of a system of two equations with two unknowns. This can be solved in multiple ways (the substitution method, the elimination method, the equalization method, the graphic method...) . I will resolve it using the equalization method that is a little bit more practical from my point of view.

First, we have to determine the system by the data we are given:

\left \{ {{y+x=176} \atop {y=3x}} \right.

Where:

y=sodas sold\nx=hot dogs sold

Secondly, we are going to isolate any variable from both equations. I chose to isolate Y.

\left \{ {{y=176-x} \atop {y=3x}} \right.

Thirdly, we equalizate both equations.

Y= Y

So we get:

176-x=3x

Then we isolate X.

-x-3x=-176

-4x=-176

x=-176:(-4)

x=44

So now we know that the number of hot dogs sold was 44! If the sodas sold were three times the number of hot dogs sold, then we know that there were 132 sodas sold at the hockey game!

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