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Keith_Richards [23]
2 years ago
7

Work out b(4½-3⅔)+1⅔​

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

Answer:

2 \frac{1}{2}

Step-by-step explanation:

Change the mixed numbers to improper fractions

(\frac{9}{2} - \frac{11}{3} ) + \frac{5}{3} ← the LCM of 2 and 3 is 6

= \frac{9(3)}{2(3)} - \frac{11(2)}{3(2)} + \frac{5(2)}{3(2)}

= \frac{27}{6} - \frac{22}{6} + \frac{10}{6}

= \frac{5}{6} + \frac{10}{6}

= \frac{15}{6}

= \frac{5}{2}

= 2 \frac{1}{2}

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Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0
2 years ago
Stefania has a collection 1432 mp3s. Of those songs, 25% are rock songs and 55% are rap songs. How many songs are other types of
Katena32 [7]
Start answering here
7 0
2 years ago
Which statement correctly identifies a local minimum of the graphed function? Over the interval [–3, –2], the local minimum is 0
marta [7]

Answer:

C.

Step-by-step explanation:

As we can see on the graph C is our answer.

4 0
3 years ago
V
aleksley [76]

Answer:

a=1.66

b=8368.12

Step-by-step explanation:

hope it helps

8 0
2 years ago
The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi
ehidna [41]

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

3x-8=2x+12

Hence, the equation is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

3x-8=2x+12

Subtracting both sides of the equation by 2x, we get;

x-8=12

Adding both sides of the equation by 8, we get;

x=20

Thus, the value of x is 20.

Hence, the equation and the value of x are 3 x-8=2 x+12 \ and\  x=20

Thus, Option D is the correct answer.

6 0
3 years ago
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