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Sedbober [7]
2 years ago
12

Mingfa says, "My sister and I have $130 altogether. If my mother gives me another

Mathematics
1 answer:
quester [9]2 years ago
8 0

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

x+y=130                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

x+10=3y              ...(ii)

Substitute the value of x from (ii) in (i).

(3y-10)+y=130

4y=130+10

4y=140

Divide both sides by 4.

y=35

Putting y=35 in (i), we get

x+35=130

x=130-35

x=95

Therefore, Mingfa have $95.

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Step-by-step explanation:

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4 0
3 years ago
A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?
irakobra [83]

Answer:

<h2>11.72cm</h2>

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

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5 0
2 years ago
There are 527 students enrolled at school 11% are absent today how many students are absent​
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Where x is equal to the total sum of students. From here, it's a simple equation to isolate x, and find out what numerical value x is equal to. In case you are unsure how to do this, I've created a clear step by step process for how to do this (NOTE: The slash represents division, while the asterisk represents multiplication.):

> 16,293.2 / x = 30.8

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> 529 = x

In total, there are 529 students in the school.

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