Answer:
x=-9
Step-by-step explanation:
first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.
Answer: y=3x-7
Explanation:
The y-intercept is -7 and the line is going up by a rate of 3.
Answer:
1.72973 oz/serving. Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag." But the problem states "exactly."
Step-by-step explanation:
We want oz/serving, so let's convert the pounds of rice to total ounces of rice:
We are told that 16 oz = 1 pound. Make that a conversion factor: (16 oz/1 pound)
(4 pounds)*((16 oz/1 pound) = 64 ounces
We are told that 4 pounds (64 ounces) makes 37 servings. So:
(64 ounces)/(37 servings) = 1.72973 oz/serving
The question is telling you that the length of the rectangle is 3 metres more than twice the width.
So let:
<em>w= width</em>
<em>L= length</em>
Because the length is 3 metres more than twice<em> </em>the width: <em>L= </em><em>2</em><em>w+</em><em>3</em>
They also tell you the perimeter is 48 metres.
<em>P= L+L+w+w</em>
So the equation of the perimeter is:
<em>48= (2w+3)+(2w+3)+2w +2w</em>
<em>48= 2(2w+3) + 4w</em>
To find w, expand and simplify.
<em>48= 4w+6+4w</em>
<em>48= 8w + 6</em>
<em>42= 8w</em>
<em>5.25=w</em>
Now that you know the width, plug in the value into the length equation:
<em>L= 2w+3</em>
<em>L=2(5.25)+3</em>
<em>L=10.50+3</em>
<em>L=13.5</em>
If I am wrong let me know! I hope this helps.
