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3 years ago

14

maria,leah, and jonas ran these distances on Saturday. maria ran 5/6 miles, leah ran 2/3 mile, jonas ran 3/4 mile. who ran the s

hortest distance?

1 answer:

rjkz [21]3 years ago

7 0

Maria ran 5/6 miles

Leah ran 2/3 mile

Jonas ran 3/4 mile

Order from Least to Greatest
2/3 < 3/4 < 5/6

Leah ran the shortest distance.

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A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are

PolarNik [594]

Now, the nickels and dimes are at ratio of 3:2. However, the total amount is in dollars. So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

3 dimes is just 30 pennies

2 nickels is just 10 pennies

so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

$\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio
\\\\\\
\cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\
-------------------------------$

$\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes
\\\\\\
\textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\
-------------------------------\\\\
42~dimes + 28~nickels\implies \$5.60$

3 0

3 years ago

Read 2 more answers

What is the area?<br> 2 yd<br> 8 yd<br> 5 yd

MrRissso [65]

Answer:

28

Step-by-step explanation:

I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.

area of trapezoid = (base1 + base2)h/2

area = (2 yd + 5 yd)(8 yd)/2

area = 28 yd²

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2 years ago

A marching band has 65 students can the band director arrange the students into a rectangular array with more than 1 row and mor

muminat

5 rows with 13 kids per row.

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3 years ago

Find 3 consecutive even integers if their sum decreased by 10 equals -22

Orlov [11]

Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22 Get rid of the parentheses
x + x + 2 + x + 4 - 10 = -22 Combine like terms (x + x + x) and (2 + 4 - 10)
3x - 4 = -22 Add 4 to both sides
3x = -18 Divide
x = -6
Check you work.

x = -6
x + 2 = -4
x + 4 = -2

(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22

So, your three integers are -6, -4, and -2 .

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True or false? One literof water has a mass of 1.00 grams.

Sever21 [200]

Answer: False.

Step-by-step explanation: The actual mass for a liter of water would be a kilogram, which is 1,000 grams.

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3 years ago