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tresset_1 [31]
3 years ago
12

What is sarah is twice as old as her youngest brother. if the difference between their ages is 15 years. how old is her youngest

brother?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
Her youngest brother is 15 years old.
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Solve the equation ​
UNO [17]

Answer:

x = 10

Step-by-step explanation:

2x/3 + 1 = 7x/15 + 3

<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>

2x + 3 = 21x/15 + 9

<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>

30x+ 45 = 21x + 135

<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>

9x = 90

<em><u>(divide 90 by 9)</u></em>

x = 10

<h2>Another solution:</h2>

2x/3 + 1 = 7x/15 + 3

<u><em>(find the LCM of 3 and 15 = 15)</em></u>

<u><em>(multiply everything in the equation by 15, then simplify)</em></u>

10x + 15 = 7x + 45

<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>

3x = 30

<em><u>(divide 30 by 3)</u></em>

x = 10

4 0
3 years ago
7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0
2 years ago
Help! Picture attached
schepotkina [342]

Answer:

minimum maximum parabolas are equal then because of the circumference

Step-by-step explanation:

5 0
2 years ago
In the diagram, r || s. Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from the top left, the a
Softa [21]
24.8 sorry I couldn’t find this question sooner
5 0
2 years ago
Evaluate the expression when d = 20 and v = 19 20v + 12d - 6v
Alexeev081 [22]
D = 20 , v = 19
20v + 12d - 6v
= 20 (19) + 12 (20) - 6 (19)
= 380 + 240 - 114
= 620 - 114
= 506
When d = 20 and v = 19
20v + 12d - 6v = 506
6 0
3 years ago
Read 2 more answers
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