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zvonat [6]
3 years ago
12

81/8=1/3v+25/8-23/6v

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

v=4/7

Step-by-step explanation:

81/8 = 1/3v + 25/8 - 23/6v

-25/8            -25/8

56/8 = 1/3v -23/6v

56/8 = 24/6v

24/6 / 56/8

4/7

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The number of students in a chess club decreased from 28 to 11. What is the percent decrease? Round your answer to the nearest p
atroni [7]

Answer:

28-11=17

28=100%

17=x

17×100/28=60,71

rounded 61%

60,71%

11/28*100=a

a-100=60,71

to nearest percent 61 i think

8 0
2 years ago
a mechanic worked 20 hours. another mechanic worked 15 hours. together they charged a total of $1950. what was the rate charged
Natasha_Volkova [10]

Answer: The mechanics both charged $70 and $45 per hour respectively

Step-by-step explanation: We shall start by calling the mechanics hourly rates x and y respectively. So if one worked for 20 hours and charged 20 times x dollars, and the other one worked for 15 hours and charged 15 times y dollars, totalling 1950 dollars, we can write the following expression,

20x + 15y = 1950

Also, if the sum of the two rates was 115 dollars, that means for working for an hour only, they both would earn

x + y = 115

We now have a pair of simultaneous equations

20x + 15y = 1950 --------(1)

x + y = 115 ------------------(2)

We shall use the substitution method for this problem.

From equation (2), make x the subject of the equation

x = 115 - y

Substitute for the value of x into equation (1)

20(115 - y) + 15y = 1950

2300 - 20y + 15y = 1950

By collecting like terms we now have

2300 - 1950 = 20y - 15y

(Note that when a negative value crosses to the other side of the equation, it becomes a positive value and vice versa)

350 = 5y

Divide both sides of the equation by 5

70 = y

We now substitute for the value of y into equation (2)

x + y = 115

x + 70 = 115

Subtract 70 from both sides of the equation

x = 45.

Therefore, the rate they charged per hour were $45 and $70 respectively.

7 0
3 years ago
18z 2+17z+4 I need to know what this is
balandron [24]

Answer:

18z 2+17z+4

Step-by-step explanation:

it hard try to give more point

4 0
2 years ago
Can someone help me find the area of the following figure
ExtremeBDS [4]
1. The area of the full rectangle is 21 * 28 = 588. We will need this later. 

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63. 

Now we do the full area of 588 minus the area of the missing triangle piece. 

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7. 

105 + 7 = 112 in²
6 0
3 years ago
Ricardo spends 8/9 hr. reading the paper. He spends 1/4 of the time reading world news and splits the remaining time equally bet
lapo4ka [179]
Total time spent reading is = 8/9 hour

He spends 1/4 of the time reading world news. That is =  1/4 * 8/9 =  2/9 hour

Splits the remaining time equally.  Remaining time =  8/9 - 2/9 =  6/9

Splitting it equally =  6/9  divided by 2 =  6/9  * 1/2 =  3/9  = 1/3

Time spent reading comic is = 1/3 hour

I hope this helps.
5 0
3 years ago
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