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Digiron [165]
3 years ago
9

Devaughn is 5 years younger than Sydney. The sum of their ages is45. What is Sydney's age?

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0
Total age=45
devaughn is 5 years younger
45-5=40
so ,
40 divided by 2 equals= 20
so each of them is 20
without remaining 5
so devaughn is 20
so sydney is 45-20=25
so, sydney is 25 years old
Verizon [17]3 years ago
5 0
Let the age of devaughn be x and Sydney be y.
Then,x+y=45
x+5=y
y=x+5
here,
put y=x+y in x+y=45
then,
x+y=45
x+x+5=45
2x=40
x=20
now,
y=x+5
y=20+5
y=25
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MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

x=

7

4(y−3)

​

2 Substitute x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

 into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

.

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

​

 

x=−4

y=−4

​

3 0
2 years ago
The ages of people on the camp bus are listed. 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16 What is the mode of the ages?
oksian1 [2.3K]
Mode is the number that mostly occurs so its a.10
3 0
3 years ago
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Which is the solution to –7x &gt; 49?
mote1985 [20]

Answer:

x<7

Step-by-step explanation:

Divide by -7 on both sides and when dividing by a negative you should flip the inequality sign.

6 0
3 years ago
Combine the like terms 7+19t-6t a)7-13t b)20 c)20t d)7+13t
ohaa [14]

Answer:

The answers would be as follows:

1. d

2. a

3. a

Step-by-step explanation:

To find the combined terms, focus only on the terms that have the same variable value. See the examples below.

1.

7 + 19t - 6t

7 + (19t - 6t)

7 + 13t

2.

5/6x - 2/3x

(5/6x - 2/3x)

1/6x

3.

8 + 16r - 9r

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7 0
3 years ago
4.
rusak2 [61]

Answer:

  • recursive: a[1] = 7440; a[n+1] = a[n] -120
  • explicit: a[n] = 7440 -120(n -1)

Step-by-step explanation:

The sequence of amounts in Jackson's account will be ...

  7440, 7320, 7200, ...

with a first value (a1) of 7440 and a common difference (d) of -120.

The recursive formula for an arithmetic sequence is ...

  a[1] = a1

  a[n+1] = a[n] +d

For our sequence, the recursive formula is ...

  a[1] = 7440

  a[n+1] = a[n] -120

__

The explicit formula for an arithmetic sequence is ...

  an = a1 +d(n -1)

For our sequence, the explicit formula is ...

  a[n] = 7440 -120(n -1)

5 0
3 years ago
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