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2 years ago

if twice the opposite of a number us increased by 5, the result is the opposite of the number. What is the number?

Mathematics

1 answer:

Likurg_2 [28]2 years ago

6 0

Answer:

If twice the opposite of a number increased by five, then the result is the opposite of a number.

The asiest way to solve this is the guess and check method. It is asking you what a number doubled then by adding five is the opposite of that number. Now go through a few SINGLE digit numbers to try and solve. I hope this helps.

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A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher

Yuri [45]

You would do 300• 31/100 to get 90. I’m pretty sure that’s right

4 0

2 years ago

How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?

nignag [31]

Answer: A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0

2 years ago

The following system has a solution of x=-5, y=9, z=11.

Bess [88]

False - plug in the bramble for the first equation and you get 40 = 12 which is not true

7 0

3 years ago

Please explain this answer ☹️

GuDViN [60]

Answer:

see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

cos45° = sin45° = $\frac{1}{\sqrt{2} }$ = $\frac{\sqrt{2} }{2}$

Hence

12(cos315° + isin315°)

= 12(cos45° - isin45°)

= 12( $\frac{\sqrt{2} }{2}$ - i $\frac{\sqrt{2} }{2}$ )

= 6 $\sqrt{2}$ - 6i $\sqrt{2}$

7 0

3 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?

Marrrta [24]

EF = 50 in.

In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:

$\frac{AB}{EF}=\frac{AD}{EH}
\\
\\ \frac{30}{x}=\frac{45}{75}$

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50

3 0

3 years ago