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Mekhanik [1.2K]
3 years ago
9

Seven more than three times a number is thirty-one. Write an equation

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

As an equation, (we'll use x as the variable), that word problem is 3x+7=31.

To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.

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Six cakes cost £2.40 how much do ten cakes cost
crimeas [40]
There are a few ways to find out the correct answer. One of them is to divide 2.40 by 6 to get a price of one cake and then multiply it by 10:

2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00

Answer: Ten cakes would cost 4 pounds.
4 0
3 years ago
S the following statement always, sometimes, or never true?
liubo4ka [24]

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
  • The two angles could be right angles or one of them is acute and the other is obtuse
  • The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Can Someone tell me how to find a rate of change and an initial value
kow [346]

Depends on which rate of change you're talking about. The rate of change is another term for a slope of a function. There's two(2) different version of rate of change.

First version one is the instantaneous rate of change. aka derivative. This one is found simply by taking the derivative of a function.

Second version is the average rate of change, which is found using the slope formula, (y₂ - y₁)/(x₂ - x₁)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Initial value problem should give you an initial point (x, y) to plug into your function. You plug those x,y value in to find your answer.

There's variation of initial value problems so I can't give you any specific details on how to do it unless you can post the question.

8 0
3 years ago
URGENT PLEASE HELP! What is the slope of the line <br> y = -2x - 4?
Tju [1.3M]

Answer:

-2 is the slope

Step-by-step explanation:

4 0
3 years ago
Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x
Svet_ta [14]

Independent Variable Y-3(x)

5 0
3 years ago
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