So, if 60 beats was decreased by 2/5 before, we know that 60 beats = 3/5 of her heart rate after she ran the mile.
(Because 1 - 2/5 = 3/5)
So, 3/5 = 60, and we're trying to find 1.
So I would first divide both sides by 3.
3/5 = 60
/3 /3
1/5 = 20
Then multiply both sides by 5.
1/5 * 5 = 20 * 5
1 = 100
So her heart rate was 100 beats per minute immediately after she ran the mile.
Answer:
Step-by-step explanation:
Nelson grows tomatoes and sells them at a nearby farmers roadside stand.
Let x = number of tomatoes sold
Let m = amount of money made for selling x tomatoes.
He sells them for $2.50 each. This means that he sells x tomatoes for 2.5×x = $2.5x
The farmer charges him $15 a day to use the stand. This means that he pays a constant amount of $15 each day.
Amount of money that Nelson will make will be total amount made in selling x tomatoes minus the constant amount being paid for rent. It becomes
m = 2.5x - 15 This is the general form. In the factored form, it will be
m = 2.5(x+6)
Answer:
3/7
Step-by-step explanation:
To find the scale factor we have to compare the initial points to the final points, we can do this by observing only one corner of the triangle, as it will apply to the entire triangle.
<u><em>Let's look at C and C'</em></u>
The coordinates of C are (7,-7)
The coordinates of C' are (3,-3)
<u><em>To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinates</em></u>
We essentially have to find what 7 is multiplied by to get 3, we'll make an equation
7x=3
Solve for x by dividing both sides by 7
x=3/7 <------- This shows that our scale factor in this case is 3/7
<em><u>Now we will test this on our y-coordinates</u></em>
-7(3/7)=-3
=-3?
The 7's on the top and bottom simplify to -1
-1(3)=-3?
-3=-3 <------- This is true! So we know this is our scale factor for the entire triangle
Hope I could help!
<em> -Kaylyn</em>
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ANSWER

STEP-BY-STEP EXPLANATION
Given information

To estimate the above expression, we need to find the factors of the denominators to get the LCM
Factors of 12 = 2 x 2 x 3
Factors of 8 = 2 x 2 x 2
From the above factors, the LCM is 2 x 2 x 2 x 3 = 24
Therefore, LCM is 24
Answer:
(-4,-7)
Step-by-step explanation: