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Genrish500 [490]
3 years ago
11

The sum of two numbers is 361 and the difference between the two numbers is 173. What are the two numbers? Please also “Let stat

ements”
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
361 + 173 =361+173
(a+b)+(a-b)=361+173
a+b=a-b=534
2a=534
a=267
267+b=361
b=94
the two numbers are 267 and 94
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Solve the system of equations given below.<br> -5x = y – 5<br> -2y = -x-21
irakobra [83]

Answer:

<h2>x = -1, y = 10 → (-1, 10)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-5x=y-5&\text{subtract y from both sides}\\-2y=-x-21&\text{add x to both sides}\end{array}\right\\\left\{\begin{array}{ccc}-5x-y=-5&\text{multiply both sides by (-2)}\\x-2y=-21\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+2y=10\\x-2y=-21\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad11x=-11\qquad\text{divide both sides by 11}\\.\qquad x=-1\\\\\text{put the value of x to the first equation:}\\\\10(-1)+2y=10\\-10+2y=10\qquad\text{add 10 to both sides}\\2y=20\qquad\text{divide both sides by 2}\\y=10

3 0
3 years ago
Stephen purchased a guitar, which was originally priced at $80 but discounted at 25%. He also had to pay 5% sales tax. What amou
nikdorinn [45]

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7 0
3 years ago
Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. F
skelet666 [1.2K]

Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center <em>O</em> and radius 2.4 cm.<em> P</em> is a point on the tangent that touches the circle at point <em>Q</em>, such that the length of the tangent from <em>P </em>to <em>Q</em> is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at <em>O</em>, \overline{OQ} = 2.4 cm

The length of the tangent from<em> P</em> to the circle at point <em>Q, </em>\overline{PQ} = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

\overline{OP}² = \overline{OQ}² + \overline{PQ}²

∴ \overline{OP}² = 2.4² + 4.5² = 26.01

\overline{OP} = √26.01 = 5.1

The length of OP = 5.1 cm

8 0
3 years ago
Sarah works as a tutor helping out after school. She earns $10 for an hour of tutoring plus an additional $4.50 per student. How
ipn [44]
37=10+4.50x
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Hope it helps!



4 0
3 years ago
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in the linear equation the y intercept is the starting point when x is zero, that means that at the starting balance he had 1000 in the bank.
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4 years ago
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