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2 years ago

Roland needs 8 sheets of fabric that are each 45 yard long.

Mathematics

1 answer:

kompoz [17]2 years ago

3 0

The total number of yards is 360 yards

<h3>How to determine the number of yards?</h3>

The given parameters are:

Number of sheets = 8

Yard per sheet = 45 yards

The total number of yards is calculated as:

Total number of yards = Number of sheets * Yard per sheet

Substitute the known values in the above equation

Total number of yards = 8 * 45 yards

Evaluate the product

Total number of yards = 360 yards

Hence, the total number of yards is 360 yards

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Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm

AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

$\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}$

<u><em>Verify each case</em></u>

case 1) 0.75 cm to 1 km

$\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 2) 1 cm to 12 km

$\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}$

$0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

$\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}$

$0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

$\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}$

$0.75\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

$\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}$

$0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

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3 years ago

Of the 35 students on student counsil 60% of the students are boys how many are girls

UkoKoshka [18]

Known facts:

total number of students on the council: 35
60% of the council students are boys

Results:

therefore 40% of the total number of council students are girls.

Calculation:

$\frac{40}{100} *35=14$

Therefore there are 14 girls.

Hope that helps!

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