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RUDIKE [14]
2 years ago
13

You buy 3 bags of sand and 5 bags of pea gravel for $26. In a second purchase (at the same prices), you buy 4 bags of sand for $

8. Let z represent the price in dollars) per bag of sand
and let y represent the price in dollars) per bag of pea gravel Use a graph to find the price per bag of sand and the price per bag of pea gravel
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Mathematics
1 answer:
pickupchik [31]2 years ago
6 0

Answer:

2z and 4y

Step-by-step explanation:

We first have to use the second purchase to figure this out, if 4 bags of sand is $8. We have to divide 8 by 4, which we get $2. We use this to find the bags of pea gravel. Since you bought 3 bags, 3 times 2 is 6. We subtract 6 from 26 leading to 20 dollars. We also buy 5 bags of pea gravel so we have two numbers, 20 and 5. We divide 20 and 5 and we get 4 dollars for 1 bag of pea gravel. If this is not what you meant I apologise.

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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can
kozerog [31]

Answer: Our required model is n=1250000(1.15)^t

Step-by-step explanation:

Since we have given that

Number of toys = 1,250,00

Every year is expected to increase by about 150% pr year.

So, initial value = 1250,000

Rate of change = 150%

Let the number of time = t years.

So, we will use "Compound interest":

n=P(1+\dfrac{r}{100})^t\\\\n=1250000(1+\dfrac{150}{100})^t\\\\n=1250000(1+1.50)^t\\\\n=1250000(1.15)^t

Hence, our required model is n=1250000(1.15)^t

6 0
2 years ago
Read 2 more answers
Leon bought trail mix that cost $0.78 per pound. He paid $6.24 for the trail mix. How many pounds of trail mix did he buy?
12345 [234]
If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,

6.24/0.78= 8 lbs
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2 years ago
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Lawrence has two part-time jobs one at the movie theater and wanted a pet store he's paid by the hour at each job last week he w
alexandr402 [8]
Let x be the earnings/hour at the movie theater.
      y be the earnings/hour at the pet store

Systems of equations:

$152.50 = 10x + 8y
$171 = 8x + 10y

Solving for x and y:
x = $4.36/ hour in the movie theater
y = $13.61/ hour in the pet store.<span />
8 0
2 years ago
A worker drives a 0.500 kg spike into a rail tie with a 2.50 kg sledgeham-
Marianna [84]

Total internal energy increases by 1760 J

Step-by-step explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion.

It is calculated as

KE=\frac{1}{2}mv^2

where

m is the mass of the object

v is its speed

For the hammer in this problem:

m = 2.50 kg

v = 65.0 m/s

So its kinetic energy is

KE=\frac{1}{2}(2.50)(65)^2=5281 J

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

\frac{1}{3}KE=\frac{1}{3}(5281)=1760 J

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

8 0
2 years ago
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a
STatiana [176]

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

6 0
2 years ago
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