Answer:
1 3/4
Step-by-step explanation:
You can set it up like the distrubtive property first
3/4(2+ 1/3) Next you use the distirbutive property instead of adding inside the parenthesis and you multiply the 3/4 by 2 and then the 3/4 by 1/3
Use 2 as 2/1 in fraction problems
3/4 * 2/1 Now multiply the numerators together and the denomenators together
3 * 2 = 6 4 * 1 =4
6/4
3/4 *1/3
3 * 1 =3
4 * 3 =12
3/12
Now we have to make them both like terms (same denominator) so we can add them, we will multiply the 6/4 by 3 (Both top and bottom)
6 * 3 = 18 4 *3 =12
18/12
Now we add the fractions
3/12 +18/12 = 21/12
Reduce that and you get
21/12 = 1 9/12 or 1 3/4
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Step-by-step explanation:
Let,
Weight of large box = x
Weight of small box = y
According to given statement;
5x+2y=102 Eqn 1
3x+8y=153 Eqn 2
Multiyplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 17
Putting x=15 in Eqn 2
Dividing both sides by 8
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Keywords: linear equation, elimination method
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Answer:
Charlene earns $700 per week
Kristi earns $550 per week
Sascha earns $800 per week
Step-by-step explanation:
Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.
Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.
<em>k+150+k+s=2050</em>
The next step here is to put the variables on one side and to put the numeric values on the other.
2k+s=1900
Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.
2(s-250)+s=1900
2s-500+s=1900
3s=2400
s= 800
We now have Sandra's weekly pay, which we can use to find the others' pay.
c= s-100
c= 800-100
c= 700
k= c-150
k= 700-150
k= 550
You have t9 find a equal number
