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Elden [556K]
3 years ago
10

What is 560 miles in 10hours ?

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

A good way to think about this is take the phrase "miles in hours" from the question. You are given "560 miles in 10 hours" and what you need to figure out is "X miles in 1 hours." To go from 10 hours to 1 hour, you divide by 10. So you also want to divide miles by 10 to keep everything consistent. 560/10 = 56 miles.

<h3>The answer is 56 miles.</h3>
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Write at least 2 numerical expressions for each written phrase below. Then, solve.
zloy xaker [14]

Answer:

a. \frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}

b. \frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols (  i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

\frac{3}{5}(7)

=\frac{3\times 7}{5}

=\frac{21}{5}

=4\frac{1}{5}

b. One sixth the product of four and eight,

\frac{1}{6}(4\times 8)

=\frac{4\times 8}{6}

=\frac{32}{6}

=5\frac{1}{3}

7 0
3 years ago
Find a formula for the sum of the first n even positive integers.
melisa1 [442]
So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
{k}^{2}  + k
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
7 0
3 years ago
One number is three more than the other. their sum is thirty three. find the numbers
adell [148]
The numbers are 15,18
They add to 33 and a difference of 3
3 0
3 years ago
Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2
lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0
3 years ago
Divide 800 by the 2:3 ratio
garri49 [273]

Answer:

Ratio 320:480

Step-by-step explanation:

please let me know if i got it right if not i'm really sorry :(

8 0
2 years ago
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