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3 years ago

9

Julie walks the track every morning for 1 hour. It takes her 1/5 hour to walk 1 mile. How many miles does she walk every morning

? 1, 5, 1/5 or 50?

1 answer:

frutty [35]3 years ago

5 0

1/5 hour = 1 mile
Multiply each side by 5
1 hour = 5 miles.

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Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .

Bingel [31]

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

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2 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

???????anyone know...

RUDIKE [14]

The answer is: " 60° " .
__________________________________________________________
" m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).

The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.

All triangles by, definition, have 3 (three) angles that add up to "180° " .

Since each of the 3 (three) angles is equal; and the three angles are:

"∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
______________________________________________________
m∠A = 180° ÷ 3 = 60° .
______________________________________________________
The answer is: " 60° " .
______________________________________________________
m∠A = " 60° " .
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7 0

3 years ago

the number of chirps made by a cricket varies directly as the temperature. If at 12 degrees a cricket chirps 30 times per minute

GenaCL600 [577]

Answer:

50 i think?

Step-by-step explanation:

30 divided by 12 is 2.5, 2.5 x 20 equals 50

4 0

3 years ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u> $AC^2 = AB^2 + BC^2$ <u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers