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marishachu [46]
3 years ago
13

Ethan's full backpack weighed too much. He took out a 4/8 pound electronic reader, a 2 ⅛ pound full bottle of water, and a ⅞ pou

nd combination lock. Now the backpack weighs 8 ⅝ pounds. How much did the backpack weigh before Ethan took out the supplies? Number model
Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = 12\frac{1}{8}

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The two triangles shown are congruent.<br> Find the value of x
shusha [124]

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = \sqrt{625} = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

4 0
2 years ago
What is the quotient of 3.12 x 108 and 2.6 x 105 expressed in scientific notation?​
Gnoma [55]

Answer:

1.2 * 10^3

Step-by-step explanation:

3.12 * 10^8

=========

2.6 * 10^5

Start by doing 3.12 / 1.6 = 1.2 and that is the correct number of sig digs.

Now get the power on the 10. When dividing, the powers subtract.

10^(8 - 5)

10^ 3

The answer is 1.2 * 10^3

7 0
3 years ago
What is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2?
Tomtit [17]
(10(1-(1/2)^5)/1-(1/2) = 

20(1-1/32)
=155/8
5 0
3 years ago
Read 2 more answers
If anyone could help?
Trava [24]

Answer:

y=\frac{5}{7}x and y=\frac{7}{9}x

Step-by-step explanation:

A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.

In y=\frac{5}{7}x when x=3, y=15/4≈2.14

In y=\frac{3}{5}x when x=3, y=1.8

In y=\frac{7}{9}x when x=3, y≈2.33

In y=\frac{7}{11}x when x=3, y≈1.90

We can observe that in two cases, y=\frac{5}{7}x and y=\frac{7}{9}x, y is greater than 2.


5 0
3 years ago
HELP ME PLZ ASAP 80 POINTS
KiRa [710]

Answer:

Slope:-1/3

y-intercept: (0,2)

x        y

0       2

6       0

Hope this helps a little

5 0
3 years ago
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