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lilavasa [31]
3 years ago
5

Use the relationship between the

Mathematics
1 answer:
motikmotik3 years ago
4 0

The equation x° = 180° - (37°+ 53°) can be used to find the value of x.

Step-by-step explanation:

Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.

37° + x° + 53° = 180°.

Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.

x° = 180° - (37°+ 53°).

So the fifth option can be used to determine the value of x.

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A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-
Sonbull [250]

Answer: 6 and 1/12 cups

Step-by-step explanation:

For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:

11/3 + 7/4 + 2/3

Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.

13/3 + 7/4

Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.

If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):

<u>https://youtu.be/bcCLKACsYJ0</u> -- Khan Academy

<u>https://youtu.be/5juto2ze8Lg</u> -- Math Antics

5 0
2 years ago
Sasha walk 12 m in 16.8 seconds sam walked 31 m in 46.5 seconds who was the fastest?
KengaRu [80]

Answer:

Just a bored teen willing to help,

hope you're having a splendiferous day...

Step-by-step explanation:

Sasha: 16.8 seconds÷12 m=1.4 meter per second.

Sam: 46.5 seconds÷31 m=1.5 meter per second.

Sasha walked the fastest.

4 0
2 years ago
Read 2 more answers
Find the value of x and 3x.
kozerog [31]

Answer:

x = 90°

3x = 270°

Step-by-step explanation:

Split the shape in half through the plane of 3x and x.

We can find the angle of x/2 is 45°.

Since x/2 = 45°, then we can fid that x=90°.

To find 3x, we simply multiply 90° 3 times.

So 3x = 270°.

3 0
3 years ago
The Versatech Corporation has decided to produce three new products. Five branch plants now have excess production capacity. The
RSB [31]

Answer: provided in the explanation segment

Step-by-step explanation:

here i will give a step by step analysis of the question;

A: Optimization Formulation

given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5

Objective function: Minimize manufacturing cost (Z)

Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33

s.t

X11 + X12 + X13 + X14 + X15 = 600

X21 + X22 + X23 + X24 + X25 = 1000

X31 + X32 + X33 = 800

X11 + X21 + X31 <= 400

X12 + X22 + X32 <= 600

X13 + X23 + X33 <= 400

X14 + X24 ​​​​​​ <= 600

X15 + X25 <= 1000

Xij >= 0 for all i,j

B:

Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.

cheers i hope this helps!!

3 0
3 years ago
8x -6=18 what does x equal
professor190 [17]

Answer:

x = 3

Step-by-step explanation:

8x -6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8 to isolate x.

x = 3

4 0
2 years ago
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