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vlabodo [156]
3 years ago
14

1 Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards?​

Mathematics
2 answers:
ivanzaharov [21]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

because if you caculate right and do the answer correctly it is D. thanks can i get brainlest.

Sophie [7]3 years ago
4 0

Answer:

4\3

Step-by-step explanation:

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A freight elevator has a weight limit of 2 tons. each crate that is loaded weighs 80 pounds. what is the greatest number of crat
Snezhnost [94]
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton

step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate

the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55 

alalternative method
</span>step 1
convert ton to pounds 
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb

step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>

</span>
3 0
3 years ago
Find
Zarrin [17]

The measures of two complementary angles are 64 degrees and 26 degrees

<h3><u>Solution:</u></h3>

Let the larger angle be "a" and smaller angle be "b"

<em>Two angles are Complementary when they add up to 90 degrees</em>

so we get,

a + b = 90 ------ eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

<h3>b = 26</h3>

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

<h3>a = 64</h3>

Thus the measures of two complementary angles are 64 degrees and 26 degrees

7 0
3 years ago
Evaluate the given algebraic expression for x = 2 and y= 3.<br> -Зху<br> -6<br> -12<br> -18<br> -24
mrs_skeptik [129]

Answer:

-18

Step-by-step explanation:

-3xy,X=2 ,y=3

-3(2)(3)

-3(6)

=-18

4 0
3 years ago
There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What
antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

63x + 7 = 23y\\63x-23y = -7

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist \alpha,\beta such that

-23\alpha+63\beta=1

By applying extended Euclidean Algorithm, we have,

1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)

1 = (-11\times -23) + (-4\times 63)

Multiplying -7 on both sides, we get,

-7 = (77\times -23) + 28\times 63)

Thus, we get,

x = 28\\y=77

Thus, there are 28 fruits in each pile.

7 0
3 years ago
3r^2-8r-28=0 <br> Solve with quadratic formula
mestny [16]
(8 plus of minus radical 64 + 216
divided by 
6
(8 + or - 16.73320053)/6

5 0
3 years ago
Read 2 more answers
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