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rosijanka [135]
3 years ago
7

Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three

years more than four times Marcie's age. The sum of their ages is 58.
Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

<em>The question is to find Simon's age and Marcie's age.</em>

<em />

Let Simon's age be x and Marcie's age be y

<u>Simon is 3 years more than 4 times marcie, so we can write:</u>

x = 4y + 3

Also,

<u>Sum of their ages is 58, so we can write:</u>

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

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Simplify:<br><br><br>4(r + 1) + 3r<br><br> A. 4r + 4<br> B. 5r + 1<br> C. 7r + 1<br> D. 7r + 4
klasskru [66]

Answer:

look in the explanation, it is in there

Step-by-step explanation:

i don't know if you are distributing or just using PEMDAS .

if you are distributing then: do in the equation 4(r + 1) + 3r.. do 4 x r and 4 x 1 , now you have 4r + 4 + 3r

                        7r +4

                      is what i got!

If you are doing PEMDAS then: first you do what is inside the perenthisis ()

4(r + 1) +3r changes into

4( r1 ) + 3r now you do multipulcation because that in the "M" in pemdas

4r + 3r, then if you are using like terms you would add them

7r

i hope this helps you out!

6 0
3 years ago
Read 2 more answers
What is the probability of the occurrence of a number that is odd or less than 5
yaroslaw [1]

Answer:

Hence the probability of getting a number less than 5 is 2/3.

Step-by-step explanation:

6 0
1 year ago
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Michaels has one liter of fruit punch. He gives 200 ml to leila, 200 ml to daniel, and 300 ml to alexa. how much does Michael ha
stiv31 [10]
One liter equals 1000 ml

1000-(200+200+300)=1000-700=300

Michael has <em>300 ml</em> of fruit punch left.
6 0
3 years ago
Please answer fast The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5),
hammer [34]

Answer:

See below ~

Step-by-step explanation:

<u>Drawing the rectangle</u> (Refer attachment)

<u>Horizontal sides</u>

  • There are two x-values present : 1 and 6
  • Find the difference
  • 6 - 1 = 5
  • The horizontal sides of the rectangle are <u>5</u> units long

<u>Vertical sides</u>

  • Two y-values are present : 4 and 5
  • Find the difference
  • 5 - 4 = 1
  • The vertical sides of the rectangle are <u>1</u> unit long

<u>Perimeter</u>

  • 2(Horizontal side + Vertical side)
  • 2(5 + 1)
  • 2(6)
  • 12
  • The perimeter of the rectangle is <u>12</u> units

3 0
2 years ago
Can somebody please help...I don’t understand it would mean a lot ❤️
ohaa [14]

Answer:

y=0.5x+8

Step-by-step explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8

4 0
2 years ago
Read 2 more answers
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