MATHEMATICS MIDDLE SCHOOL

Point C belongs to segment AB and segment AB= 35 cm. The distance from C to A is 6 cm longer than the distance from C to B. Find AC and CB.

Answers

Answer 1

Answer:

Answer: AC = 20.5 cm CB = 14.5 cm

Step-by-step explanation:

Since we know that segment AC is 6 cm longer than CB, we can can substitute AC as CB + 6.

CB = CB

AC = CB + 6

We know that AB is 35 cm, and AB is made up of AC and CB, so we now have the equation CB + CB + 6 = 35

Now, we solve.

CB + CB + 6 = 35

2CB = 29

CB = 29/2

CB = 14.5 cm

AC = CB + 6 = 14.5 + 6 = 20.5 cm

Answer 2

Answer:

Answer:

AC = 20.5 cm

CB = 14.5 cm

Step-by-step explanation:

Let x be the distance from point C to point B:

$\overline{\sf CB} = x \;\sf cm$

Given that the distance from A to C is 6 cm longer than the distance from C to B, then:

$\overline{\sf AC} = (x + 6) \;\sf cm$

Now, we know that segment AB is 35 cm long, and it can be expressed as the sum of AC and CB, so:

$\overline{\sf AC}+\overline{\sf CB}=\overline{\sf AB}$

$x+6+x=35$

Solve for x:

$\begin{aligned}2x+6&=35\n\n2x+6-6&=35-6\n\n2x&=29\n\n(2x)/(2)&=(29)/(2)\n\nx&=14.5\; \sf cm\end{aligned}$

So, the lengths of the two line segments are:

$\overline{\sf AC} = (14.5 + 6)=20.5 \;\sf cm$

$\overline{\sf CB} = 14.5 \;\sf cm$

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Grant has 2 over 3 cup of ice cream in a bowl. He then removes two 1 over 6 cups of ice cream to share with his little brother. Which of the following best explains the amount of ice cream left in Grant's bowl?2 over 6, because 2 over 3 minus 2 times 1 over 6 equals 2 over 3 minus 3 over 6

2 over 6, because 2 over 3 minus 2 times 1 over 6 equals 2 over 3 minus 2 over 6

1 over 6, because 2 over 3 minus 2 times 1 over 6 equals 2 over 3 minus 3 over 6

1 over 6, because 2 over 3 minus 2 times 1 over 6 equals 2 over 3 minus 2 over 6

Please give explaination of your answer

Answers

It would be the second answer. He starts with 2/3 cup, then take out 2 1/6 cup amounts, which make 2/6 cup. Since he's taking it out, you would subtract it from the original value. So you would get 2/3 cup minus 2/6 cup and to make the denominators equal you would multiply 2/3 cup by 2, so you would have 4/6 cup minus 2/6 cup which equals 2/6 cup.

Answer:

the second one

2 over 6, because 2 over 3 minus 2 times 1 over 6 equals 2 over 3 minus 2 over 6

Step-by-step explanation:

jacobs family bought 4 adult tickets and 2 student tickets to the school play for $64. tatiannas family bought 3 adult tickets and 3 student tickets for $60. how much did each ticket cost?

Answers

Answer:10

Step-by-step explanation:

Final answer:

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

Explanation:

To solve this problem, we can set up a system of equations using the given information. Let's represent the cost of an adult ticket as 'a' and the cost of a student ticket as 's'. From the first equation, we know that 4a + 2s = 64. From the second equation, we know that 3a + 3s = 60. Now we can solve this system of equations.

Multiplying both sides of the second equation by 2 gives us 6a + 6s = 120. We can subtract the first equation from this equation to eliminate 's'.

6a + 6s - (4a + 2s) = 120 - 64

Expanding and simplifying the equation gives us 2a = 56. Dividing both sides by 2, we find that a = 28. Now we can substitute this value into either of the original equations to find 's'.

Using the first equation: 4(28) + 2s = 64

Simplifying the equation gives us 112 + 2s = 64

Subtracting 112 from both sides gives us 2s = -48. Dividing both sides by 2, we find that s = -24.

However, since we're talking about the cost of tickets, we can't have a negative value. Therefore, there is no solution for 's' in this case.

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

Learn more about Cost of Tickets here:

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What is the next number 3 6 4 8 6 12 10

Answers

the next number would be 20. the pattern goes times 2 minus 2 times 2 minus 2 and so on. so the last one was minus 2 so times 2 10 times 2 is 20

I think the answer is 20 because,
3×2=6, 4×2=8, 6×2=12, 10×2=20

hope this helps......

The base of this solid figure has 4 equal sides and the faces are triangels

Answers

it is regular pyramid.

It's a pyramid of square base.

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Answers

Answer:y=3

Step-by-step explanation:

Answer:(0,5)

Step-by-step explanation:

Y-3=2(x+1)

Rewrite it

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Sub. 0 for xto find y

2=y-3

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2=2x+2

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2x=-2+2

2x= 0

X=0

To check

5-3=2(0+1)

2=2(1)

2= 2

It checks

Why can't you compare 5 minutes in 240 seconds without making some kind of change

Answers

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