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Alex777 [14]
4 years ago
11

sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy

Mathematics
1 answer:
kozerog [31]4 years ago
6 0
Sammy's mother is 32 and Sammy is 10.
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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?
larisa [96]

an = a1+ d(n-1)

a1 =14

an=206  when n=25

206 = 14 + d (25-1)

206 = 14 + d * 24

subtract 14 from each side

192 = 24d

divide by 24 on each side

d=8

The common difference is 8

3 0
3 years ago
Read 2 more answers
The area of triangle ABC is 1.89 square feet. The measure of side c is ______.
Feliz [49]

we are given

Area is 1.89

A=40

b=2.8

now, we can use area formula

A=\frac{1}{2} c*b*sin(A)

1.89=\frac{1}{2} *c*2.8*sin(40)

now, we can solve for c

we will get

c=2.10023.............Answer

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3 years ago
Solve: (3-x)(4x+3)&lt;(2x-1)(3-x)
sergiy2304 [10]

Please refer to the above attachment

3 0
3 years ago
Solve -1/2w -3/5=1/5w
JulijaS [17]
-1/2w-3/5=1/5w
-5w-6=2w
-5w-2w=6
-7w=6
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6 0
3 years ago
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