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3 years ago

Solve: A.152 B.176 C.5 D.27

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer:

Option B

176

Step-by-step explanation:

take 11 to the next side of the equation making the division multiplication getting us 16×11=176

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A line passes through point (3, 7) and has a slope of 34. the equation of the line is A. y= 3/4x +19/4 or B. y=3x - 19 If point

uysha [10]

Y = mx + b
slope(m) = 3/4
(3,7)...x = 3 and y = 7
now we sub and find b, the y int
7 = 3/4(3) + b
7 = 9/4 + b
7 - 9/4 = b
28/4 - 9/4 = b
19/4 = b

so ur equation is : y = 3/4x + 19/4

if point A (x,5) lies on the line.....
y = 3/4x + 19/4......when y = 5
5 = 3/4x + 19/4
5 - 19/4 = 3/4x
20/4 - 19/4 = 3/4x
1/4 = 3/4x
(1/4) / (3/4) = x
1/4 * 4/3 = x
4/12 reduces to 1/3 = x......so point A is (1/3,5)...with x being 1/3

4 0

4 years ago

What property is used in the second step of solving the inequality below?

dsp73

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

5x - 9 < 91

The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

Thus,

5x - 9 + 9 < 91 + 9

5x < 100

The final step is to perform the division property by dividing both sides by 5, in order to solve for x.

5x/5 < 100/5

x < 20.

4 0

4 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Find the equation of a line that passes through the points (-4, -2) and (6, 3).

MaRussiya [10]

Answer:

wasn't sure what you wanted us to answer, so I have the distance formula for you, and I worked it out.

Step-by-step explanation:

hope these help (:

6 0

2 years ago

Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one inju

OLEGan [10]

Answer: D) 0.78

Step-by-step explanation:

Add all the given probabilities to find the answer:

45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78

4 0

3 years ago