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2 years ago

Help pls 10 points Brainleist thanks

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

3 0

Answer: x=12

Step-by-step explanation:

The two angles provided are on a straight line

A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x

$10x-20+6x+8=180$

Simplify

$10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180$

Add 12 on both sides

$16x-12=180\\16x-12+12=180+12\\16x=192$

Divide both sides by 16 to isolate x

$16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12$

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cluponka [151]

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3 years ago

If five times the successor of a number is added to an original number the sum is 83

Alexus [3.1K]

Answer:

Let the original number be x

Successor is defined as the number which comes immediately after a particular number.

also, the successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

As per the given condition :

we have;

$5(x+1)+x =83$

Using distributive property on LHS (i.e, $a\cdot(b+c)=a\cdot b+a\cdot c$ )

Then, we have

5x+5+x=83

Combine like terms;

6x+5=83

Subtract 5 from both the sides we get;

6x+5-5=83-5

Simplify:

6x=78

Divide both side by 6,

$\frac{6x}{6} =\frac{78}{6}$

Simplify:

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Therefore, the original number x is, 13

8 0

3 years ago

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allochka39001 [22]

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3 years ago

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katovenus [111]

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3 years ago

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

horrorfan [7]

Answer:

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Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.

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1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

6 0

3 years ago