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jenyasd209 [6]
2 years ago
5

Matt started doing extra chores around the house and his allowance changed from $30 per week to $40 per week. What is the percen

t of change in Matt's allowance?
25% increase
20% increase
33.3% increase
10% increase
Mathematics
2 answers:
labwork [276]2 years ago
6 0

Answer:

33.3% increase

Step-by-step explanation:

Change: final- initial

= 40 - 30 = 10

%change

10/30 × 100

100/3 %

Approximately 33.33%

slega [8]2 years ago
3 0

Answer:

33.3%

Step-by-step explanation:

Let's say the percent change is x%. Then the equation is:

30 + x% * 30 = 40

Subtract 30 from both sides:

x% * 30 = 10

Divide by 30:

x% = 10/30 = 1/3

Remember that % simply means "out of 100", so:

x/100 = 1/3

Multiply both sides by 100:

x = (1/3) * 100 = 33.3%

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What is the value of a?
Anna007 [38]

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

a =  \sqrt{225}

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

5 0
1 year ago
It costs 95 dollars for 20 students to visit and equarium.how much does it cost for 162 students?
larisa86 [58]

Answer:

769.50

Step-by-step explanation:

95 ÷ 20 = 4.75

So, 4.75 is the cost per student

4.75 × 162 = 769.50

So, 4.75 dollars per student times 162 students is 769.50

8 0
3 years ago
Read 2 more answers
If mADC and mBDC have a sum of 180, name the straight angle.
Bess [88]

i am pretty sure it is mADC

7 0
3 years ago
In circle o,find the value of x, rounded to the nearest tenth.
Gemiola [76]

Answer:

\huge\boxed{x \approx 5.4}

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

  • The line which is 8 units long is a chord of the circle.
  • The line that is 3.6 is <em>almost</em> the radius of the circle
  • The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

  • \displaystyle a^2 + b^2 = c^2

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

  • 3.6^2 + 4^2 = c^2
  • 12.96+16=c^2
  • 28.96=c^2
  • \sqrt{28.96} = c
  • 5.4 \approx c

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

4 0
2 years ago
Type the correct answer in the box. Use numerals instead of words.
stiks02 [169]

Answer:

78

Step-by-step explanation:

(-5)•(-5) + 3•21= 25+ 63= 78

7 0
3 years ago
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