MATHEMATICS MIDDLE SCHOOL

Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?

Answers

Answer 1

Answer:

Answer:

The distance written as a decimal is 3.7

Answer 2

Answer:

Final answer:

To write 3 7/10 miles as a decimal, multiply the whole number by the denominator and add the numerator, then write the result over the denominator. Simplify the fraction if possible.

Explanation:

To write the distance in decimal form, we need to convert the mixed number to a decimal. The given distance is 3 7/10 miles. To do this, we multiply the whole number, 3, by the denominator, 10, and add the numerator, 7. So, 3 multiplied by 10 plus 7 equals 37. Then, we write 37 over the denominator 10, giving us 37/10. Finally, we can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which in this case is 1. Dividing 37 by 1 gives us 37, and dividing 10 by 1 gives us 10. Therefore, the distance of 3 7/10 miles can be written as the decimal 3.7 miles.

Learn more about Converting mixed numbers to decimals here:

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Explain how you could add 678 + 303 using mental math

Find the values of x and y.

Answers

Refer to the notations above:

<BCD+40°=180° (angles on a strainght line)
<BCD=180°-40°
<BCD=140°

As BC=CD(given),△BCD is an isosceles triangle,thus <CBD=<CDB=x(properties of isosceles triangle).

We can then proceed to find x(<CDB and <CBD):

140°+ x + x=180°(angles sum of triangles)
2x=180°-140°
x=40°/2
x=20°

Then, we can again use the angles sum of triangle to solve y:

y+90°+20°=180°
y=180°-90°-20°
y=70°

Therefore, x=20° and y=70°.

Hope it helps!

Is 3 yards bigger than 21 feet is 21 feet bigger than 3 yards

Answers

No because 21 ft equals 7 yd
which us bigger than 3 yd

Exactly since 21 ft is equal to 7 yds and 7 yards is more than 3yd

jamal earned $5.00 walking his neighbor's dog for one week. he was given a 1/5 of the $5.00 at the beginning of the week and 1/5 in the middle of the week. how much of the $5.00 was jamal given at the end of the week? express your answer as a fraction and as a dollar amount.

Answers

$(1)/(5)+(1)/(5)=(2)/(5)\n\n1-(2)/(5)=(3)/(5)-\ fraction\ of\ money\ at\ the\ end\ of\ rhe\ week\n\n(3)/(5)\cdot5=3-\ amount\ of\ money\ at\ the\ end\ of\ the\ week$