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Virty [35]
3 years ago
13

What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6.

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

0.6x+y=24.6

Step-by-step explanation:

y-y1=m(x-x1)

y-24=-0.6(x-1)

y=-0.6x+0.6+24

y=-0.6x+24.6

y-(-0.6x)=24.6

y+0.6x=24.6

0.6x+y=24.6

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The grounds keeper of Estofer Park has to mow 14,623 sq. ft. of grass. He can mow 13 sq. ft of grass in one minute. How many min
MA_775_DIABLO [31]

Answer: 1,124\frac{11}{13}\ minutes

Step-by-step explanation:

Let be "x" the time in minutes that will take him to mow the entire park.

You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.

Then, you can write the following proportion:

\frac{1}{13}=\frac{x}{14,623}

Solving for "x", you get:

x=\frac{14,623}{13}\ min

To write that improper fraction as a mixed number:

- The quotient when you divide the numerator by the denominator of the fraction obtained, is 1,124 (This will be the whole number).

- The remainder of that division is 11  (This will be the numerator of the fraction).

- The denominator does not change.

Then:

x=1,124\frac{11}{13}\ min

8 0
2 years ago
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe
Goshia [24]

Answer:

<u><em>The Father is currently 47 and the Son is 7</em></u>

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that <u>(F-2) = 9(S-2)</u> [2 years ago, father age was nine times the son age]

We also learn that <u>(F+3) = 5(S+3)</u>  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

<u><em>Father is 47 and Son is 7</em></u>

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

3 0
1 year ago
B^7 divided b^4 simplified
trapecia [35]

Answer:

=  {b}^{3}

Step-by-step explanation:

\:  \:  \:  \:  \:  \:  \:   \frac{ {b}^{7} }{ {b}^{4} }  \\   =   {b}^{7 - 4}  \\  =  {b}^{3}

hope this helps

brainliest appreciated

good luck! have a nice day!

3 0
2 years ago
Bagel Boys delivers bagels for a $6
polet [3.4K]

Answer:

A.37 BAGELS

Step-by-step explanation:

100-6

94/2.50

37.6 round down

37 bagels

8 0
3 years ago
Which expression is equivalent to −10x−10+2x+9?
DENIUS [597]

Answer:

-8x - 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-10x - 10 + 2x + 9

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                        -8x - 10 + 9
  2. Combine like term:                                                                                              -8x - 1
4 0
2 years ago
Read 2 more answers
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