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Natali5045456 [20]
2 years ago
10

Choose the correct equation

Mathematics
1 answer:
Nataly [62]2 years ago
7 0

Answer:

y = -3x - 10

Step-by-step explanation:

Equation to represent the given table can be written in the slope-intercept form, y = mx + b.

m = slope = ∆y/∆x

Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):

Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1

Slope (m) = -3

b = y-intercept = the value of y when x is 0 = -10

To write the equation, substitute m = -3 and b = -10 into y = mx + b.

Thus:

y = -3x + (-10)

y = -3x - 10

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Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
adelina 88 [10]

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8  2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

7 0
3 years ago
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Alekssandra [29.7K]

Answer:

100000 = 8 (4) ^t

Step-by-step explanation:

We are multiplying by 4 each time

y = a (4)^t

The initial amount is 8

y = 8 (4)^t

We want to get to 100000

100000 = 8 (4) ^t

5 0
2 years ago
A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water
Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

Hence tank will be filled in \frac{t}{(x - y)} minutes

6 0
3 years ago
phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e
Levart [38]

Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒y = 2x-3         .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒x+y =15      .....[2]

Substitute equation [1] into [2] we get;

x+2x-3 = 15

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

3x = 18

Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

y = 2(6)-3 = 12-3 =9

y = 9

Therefore, the pancakes did each eat are;

Sara eat pancake = 6 and Phil eat pancake = 9


8 0
3 years ago
-3[1+2(4+5)]<br> PLease answer ASAP!!!
vaieri [72.5K]

Answer:

-57

Step-by-step explanation:

<h2><u>Use BOMAS</u></h2>

B- brackets

O- of

M- multiplication

A- addition

S - subtraction

-3[1+2(4+5)]

first solve what is in the brackets

(4+5) = 9

place 9 in the brackets

-3[1+2(9)]

now multiply the 2 and 9

2*9 = 18

-3[1+18)]

1+ 18 = 19

now multiply the (-3) with 19

= <u>-57</u>

4 0
3 years ago
Read 2 more answers
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