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Arturiano [62]
3 years ago
9

the difference between two numbers is 9. three times the smaller is equal to twice the larger. what are the numbers?

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer: 27 and 18

Step-by-step explanation:

x - y = 9  → x = 9 + y

3y = 2x

3y = 2(9 + y)

3y = 18 + 2y

3y - 2y = 18

y = 18

2x = 3(18)

2x = 54

x = 27

x - y = 9

27 - 18 = 9

9 = 9

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3x -2 &gt; -11<br><br> (The &gt; has an underscore under it)
user100 [1]

3x-2\geq-11

3x\geq-9

x\geq-3

x\in[-3, \infty)

Hope this helps.

7 0
3 years ago
Working alone, shayna can harvest a field in 8 hours. John can harvest the same field in 16 hours. How long would it take them i
Alinara [238K]
(1/8)x + (1/16)x = 1
(2/16)x + (1/16)x = 1
(3/16)x = 1
x = 16/3 = 5.33333 hrs
7 0
3 years ago
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

4 0
3 years ago
What is the solution to the system graphed below?
iVinArrow [24]

Answer:

(-4,-1) is the answer unless your asking for an actual equation

5 0
3 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equat
Goshia [24]

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

4 0
3 years ago
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