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blondinia [14]
3 years ago
6

The Unit 6 SBA has ten questions worth 26 points. The SBA consists of True/False questions worth 2 points each and selected resp

onse questions worth 3 points each. How many of each type of question are on the Unit 6 SBA?
Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer: Number of 2 points question = 4, Number of 3 points question= 6.

Step-by-step explanation:

Let x = Number of 2 points question, y= Number of 3 points question.

As per given,

x+y  = 10    ...(i)

2x+3y = 26  ...(ii)

Multiply 2 on both sides of (i), we get

2x+2y=20     ....(iii)

Eliminate (iii) from (ii), we get

y=6

Put value of y in (i), x+6=10

⇒ x=4

Hence, Number of 2 points question = 4, Number of 3 points question= 6.

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How can I simplify these?
Schach [20]

Answer:

\large\boxed{343=7\sqrt7}\\\boxed{10\sqrt{96}=40\sqrt6}

Step-by-step explanation:

343=7^3=7^2\cdot7\\\\\sqrt{343}=\sqrt{7^2\cdot7}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{7^2}\cdot\sqrt7\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=7\sqrt7\\=====================\\\\96=16\cdot6\\\\10\sqrt{96}=10\sqrt{16\cdot6}=10\sqrt{16}\cdot\sqrt6=(10)(4)\sqrt6=40\sqrt6

4 0
3 years ago
Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number,
Lina20 [59]

Answer:

<h2>Length is 17m and Breadth is also 17m</h2>

Step-by-step explanation:

The perimeter of a rectangle is expressed as 2(L+B) where;

L is the length and B is the breadth of the triangle.

P = 2(L+B)

68 = 2(L+B)

L+B = 68/2

L+B = 34

L = 34 - B ... 1

Area of the rectangle A = LB... 2

Substituting equation 1 into 2 will give;

A = (34-B)B

A = 34B-B²

To maximize the area of the triangle, dA/dB must be equal to zero i.e

dA/dB = 0

dA/dB = 34 - 2B = 0

34-2B = 0

2B = 34

Dividing both sides of the equation by 2 we will have;

B = 34/2

B = 17

Substituting B = 17 into equation 1 to get the length L

L = 34-17

L = 17m

This shows that the rectangle with maximum area is a square since L = B = 17m

The dimension of the rectangle is Length = 17m and Breadth = 17m

8 0
4 years ago
Brainliest to whoever answers first!!!Z'(5, -7) is the image of Z after a reflection
lara [203]

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

6 0
3 years ago
Read 2 more answers
According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the
Nata [24]

Let the number of years of watching TV be

x

.

The number of years sleeping exceeds the number of years watching TV by

18

. This means that the number of years sleeping is higher than the number of years watching TV by

18

and can be represented by

(x+18).

The total time is 34

years. So we can form the following equation and solve for the required values:

x+(x+18)=34

x+x+18=34

2x=34-18

2x=16

x=16/2

x=8

Thus, the number of years watching is 8

and the number of years sleeping is

8+18=26

.

3 0
2 years ago
How to I write a one solution function??
tatyana61 [14]
Here’s an example on how to write one.

6 0
2 years ago
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