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jonny [76]
2 years ago
8

felix is a car mechanic. he can fix 2 motorcycles and 3 cars in 170 minutes. he can fix 1 motorcycle and 5 cars in 225 minutes.

write a systems of equations to represent the number of minutes to fix a motor cycle, x, and the number of minutes to fix a car, y.
Mathematics
1 answer:
vekshin12 years ago
4 0

Answer:

2x+3y=170.......1

1x+5y=225.......2

multiplying equation 2 by 2 and subtracting eq.1 &2

2x+3y-2x-10x=170-225

-7x=-55

x=55/7

55/7+5y=225

5y=225-55/7

y=1520/(7×5)=304/7

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Clara has a purse in the shape of a trapezoid.The top of the purse measures 22 cm while the bottom of the purse measures 36 cm.
Blababa [14]

Answer:

38

Step-by-step explanation:

multiply 22 x 36 then subtract 792-754

4 0
2 years ago
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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
Crank

Answer:

<h3>2x + 5y = –15.</h3>

Step-by-step explanation:

We are given coordinates of the line passed through (–5, –1) and (10, –7) .

Applying slope formula,

Slope=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:-7\right)

Therefore,

m=\frac{-7-\left(-1\right)}{10-\left(-5\right)}

m=-\frac{2}{5}

Therefore, slope is m=-\frac{2}{5}.

Applying point-slope form y-y_1=m(x-x_1), we get

y+7 = -\frac{2}{5}(x-10)

y+7=-\frac{2}{5}(x-10)

On multiplying both sides by 5, we get

5(y+7)=5\times-\frac{2}{5}(x+1)

5y+35=-2(x-10)

5y+35=-2x+20

Adding 2x on both sides, we get

5y+25+2x=-2x+20+2x

2x+5y+35=20

Subtracting 35 from both sides, we get

2x+5y+35-35=20-35

2x+5y=-15.

Therefore, required equation is :

<h3>2x + 5y = –15.</h3>
6 0
3 years ago
What is the trick to solving any math word problem?​
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Answer:

by memories the formula and practice questions

7 0
3 years ago
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What expression is equivalent to 1/3(4-5x-1)?
Serhud [2]
1/3( 4 - 5x - 1)


= (1/3)(4 +  - 5x +   - 1)

= (1/3)( 4)  + (1/3)(- 5x)  + (1/3)( - 1)

= 4/3 +  - 5x/3 +  - 1/3

=   - 5x/3  + 1  (Decimal:   - 1.666667x + 1)





Hope that helps!!!!
3 0
3 years ago
Read 2 more answers
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can tr
Oliga [24]

The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

According to the question,

We have the following information:

Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.

Now, let's take the percent to be x.

We have the following expression:

2400*x/100 = 125

24x = 125

x = 125/24

x = 5.21%

Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

To know more about percent here

brainly.com/question/28063156

#SPJ4

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