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Rasek [7]
3 years ago
9

Solve for x using cross multiplication 2x + 1 = x+5 2x + 1 3 x = [?]

Mathematics
1 answer:
jonny [76]3 years ago
8 0
<h2>x = 13</h2>

Step-by-step explanation:

\frac{2x + 1}{3}  =  \frac{x + 5}{2}  \\ 2(2x + 1) = 3(x + 5) \\  \:  \:  \:  \: 4x + 2 = 3x + 15 \\ 4x - 3x = 15 - 2 \:  \\  \:  \:  \: x = 13

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Just do 70 times 8.5
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3 years ago
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the first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the
Shtirlitz [24]
Start by representing the lengths of the three sides of your triangle:

first side:  x-4 (inches)
second side:  x (inches)
third side:  (x-4) + 3 (inches)

Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):

x-4  +  x  +  x-4  -3  =  15

3x-11=15
3x=26
x=26/3

Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).


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3 years ago
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A sixteen-sided number cube has the numbers 1 through 16 on each face. Each face is equally likely to show after a roll. What is
KonstantinChe [14]
Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.

In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%

Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%
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Which of the following describes the parabola with the equation y = −x2 − 3x + 6?
seropon [69]

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

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-2.25 +4.5+6= 8.25

4 0
2 years ago
8x−5x+4−x=Ax+B
yawa3891 [41]

Answer:

A = 2

B = 4

Step-by-step explanation:

To get an infinite number of solutions, both lines should be the same.

This means

A1x+ B1 = A2x + B2

So,

8x−5x+4−x=Ax+B

2x +4 = Ax +B

With this, we know the value of the coefficients

A = 2

B = 4

5 0
3 years ago
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