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3 years ago

Mr. Ito is spreading mulch in his yard. He spreads 4 2/3 squre yards in 2 hours. How many square yards can he mulch per hour?

2 answers:

3 0

Hey there, this is a division problem so we are going to divide 4 2/3 by 2. Change ÷ sign into × sign, Make 2 a fraction, 2=2/1. 4 2/3 as a improper fraction is 14/3, flip 2/1=1/2, now we have 14/3×1/2, 14*1=14 and 3*2=6. Now, we have 14/6. 14/6 simplified is 7/3, 7/3 as a mixed number is 2 1/3

Kobotan [32]3 years ago

3 0

You can divide 4 by 2 first, getting 2. Then you would divide the 2/3 by changing it to 4/6 and then dividing it to get 2/6, which is simplified to 1/3. Then you add your answers, so the answer is 2 1/3

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What is the area of this figure

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It's less than a whole number like 2/1 times 1/2 is 2/2 or 1

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3 years ago

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Solve the system of equations using the elimination method. 1.Solve {x + 3y = -15

shutvik [7]

An equation is formed of two equal expressions. The solution is (-9,-2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation x + 3y = -15 and -3x + 2y = 23,

Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.

x + 3y = -15

3x + 9y = -45

Step2- After you multiply, add or subtract the two equations.

3x + 9y -3x + 2y = -45 + 23

Step 3- Then solve for the variables that is left.

11y = -22

y = -2

Step4- Substitute the value of y in any one of equations to solve for x.

x + 3(-2) = -15

x - 6 = -15

x = -9

Hence, The solution is (-9,-2).

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2 years ago

Put the following lengths in ascending order, 900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km.

matrenka [14]

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

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Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

1 m = 100 cm
1 m = 1000 mm
1 km = 1000 m

With those conversion factors in mind, we get the following conversions:

900 cm = (900 cm)*(1 m/100 cm) = (900/100) m = 9 m
8.9 m = already in meters, moving on
895 cm = 8.95 meters; divide by 100 to convert from cm to meters as shown above
9.1 m = already in meters, moving on
12000 mm = (12000 mm)*(1 m/1000 mm) = (12000/1000) m = 12 m
0.0092 km = (0.0092 km)*(1000 m/1 km) = (0.0092*1000) m = 9.2 m

Here is the summary of the conversions:

900 cm = 9 m
8.9 m = 8.9 m
895 cm = 8.95 m
9.1 m = 9.1 m
12000 mm = 12 m
0.0092 km = 9.2 m

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

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3 years ago

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