Answer:
Jaden received: $45
Step-by-step explanation:
$63 : 7 = 9 => $9 * 5 = $45
solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this:
<span><span><span>Find the unknown value in the proportion: </span><span>2 : x = 3 : 9.</span></span><span>2<span> :</span> x = 3<span> :</span> 9</span>First, I convert the colon-based odds-notation ratios to fractional form:.Then I solve the proportion:<span>
</span><span>9(2) = </span><span>x(3)</span> <span>
1</span><span>8 = 3x</span><span>
</span><span>6 = x</span></span><span><span><span>Find the unknown value in the proportion: </span><span>(2x + 1) : 2 = (x + 2) : 5</span></span><span>(2x + 1)<span> :</span> 2 = (x + 2)<span> :</span> 5</span><span><span> ADVERTISEMENT</span><span> </span></span>First, I convert the colon-based odds-notation ratios to fractional form:Then I solve the proportion:<span>
</span><span>5(2x + 1) = 2(x + 2)</span><span>
</span><span>10x + 5 = 2x + 4</span><span>
</span><span>8x = –1</span><span>
</span><span>x = –1/<span>8</span></span></span>
Answer:
In the 6% account, 13,000 was deposited
In the 10% account, 20,000 was deposited
Step-by-step explanation:
Here, we are interested in calculating how much invested in each account
.
Let the amount invested be $x and $y
Mathematically;
x + y = 33,000 ••••(i)
Now let’s work with interest
6% of x + 10% of y = 2780
6/100 * x + 10/100 * y = 2780
Multiply through by 100
6x + 10y = 278000 •••••••••(ii)
From i, x = 33,000 -y
Put this into ii
6(33,000 -y) + 10y = 278000
198,000-6y + 10y = 278000
4y = 80000
y = 80,000/4 = 20,000
But x = 33,000 -y = 33,000 -20,000 = 13,000
3 to the 5th power.....when you multiply you add the exponents
Answer: y = 0.5x - 4
Step-by-step explanation:
