Answer:
Given statement: Ivan and Tanya share £150 in the ratio 4:1
let the number be x.
Then, the share of Ivan be 4x and the share of Tanya be x.
From the given scenario,
the equation that would best represent the given will be;
Combine like terms;
Divide both sides by 5 we get;
Simplify:
x =£30
Then,
the share of Ivan is, 4x = 
and the share of Tanya is, x =£30
Therefore, £90 more Ivan gets compared to Tanya.
Answer:
First, you would need to find a common denominator for the two, in this case it would be 6 which would make the equation 3/6 + 4/6=7/6. Then in order to make the answer a mixed number you would need to divide the numerator into the demonanator, write down the whole number answer (6 will go into 7 ONE time) then write down the "leftovers". The final answer would be 1 1/6
(i hope this helps! im not the best at explaining)
Answer:
11, 1, -9, -49
Step-by-step explanation:
(Fill in the x value for each one then solve)
Function rule: y = -10x + 1
<em>1. x = -1</em>
fill in: y = (-10) -1 + 1
Solve: 11
Table way: x,y = -1,11
<em>2. x = 0</em>
fill in: y = (-10) 0 + 1
Solve: 1
Table way: x,y = 0,1
<em>3. x = 1</em>
fill in: y = (-10) 1 + 1
Solve: -9
Table way: x,y = 1,-9
<em>4. x = 5</em>
fill in: y = (-10) 5 + 1
Solve: -49
Table way: x,y = 5,-49
I believe this is the answer 6x+y=13
Answer:
<em>Herlene has 8 dimes and 17 quarters</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = number of dimes Herlene has
y = number of quarters Herlene has
Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.
We know this amount is $5.05, thus:
0.10x + 0.25y = 5.05 [1]
It's also given the number of quarters is one more than twice the number of dimes, i.e.:
y = 2x + 1 [2]
Substituting in [1]:
0.10x + 0.25(2x + 1) = 5.05
Operating:
0.10x + 0.5x + 0.25 = 5.05
0.6x = 5.05 - 0.25
0.6x = 4.8
x = 8
From [2]:
y = 2*8 + 1 = 17
y = 17
Herlene has 8 dimes and 17 quarters
