<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>
Answer:
$45 (qualified)
$30 (did not qualify)
Step-by-step explanation:
<u>Percentage Calculations</u>
Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.
The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45
Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30
Answer:
8 ounces of vinegar
36 ounces of dressing
Step-by-step explanation:
Marco makes his famous salad Jackson by mixing 5 1/4 ounces of olive oil with 1 1/2 ounces of vinegar.
Olive oil Vinegar
5 1/4 1 1/2
28 x
Write a proportion:
![\dfrac{5\frac{1}{4}}{28}=\dfrac{1\frac{1}{2}}{x}\\ \\5\dfrac{1}{4}\cdot x=28\cdot 1\dfrac{1}{2}\ [\text{Cross multiply}]\\ \\\dfrac{21}{4}x=28\cdot \dfrac{3}{2}\\ \\\dfrac{21 x}{4}=42\\ \\x=42\div \dfrac{21}{4}\\ \\x=42\cdot \dfrac{4}{21}\\ \\x=2\cdot 4\\ \\x=8\ ounces](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5Cfrac%7B1%7D%7B4%7D%7D%7B28%7D%3D%5Cdfrac%7B1%5Cfrac%7B1%7D%7B2%7D%7D%7Bx%7D%5C%5C%20%5C%5C5%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20x%3D28%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C%5Cdfrac%7B21%7D%7B4%7Dx%3D28%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B21%20x%7D%7B4%7D%3D42%5C%5C%20%5C%5Cx%3D42%5Cdiv%20%5Cdfrac%7B21%7D%7B4%7D%5C%5C%20%5C%5Cx%3D42%5Ccdot%20%5Cdfrac%7B4%7D%7B21%7D%5C%5C%20%5C%5Cx%3D2%5Ccdot%204%5C%5C%20%5C%5Cx%3D8%5C%20ounces)
Marco will make
ounces of dressing
Let's solve number 7 <span>step-by-step.
</span><span><span>y/23</span>=7
</span>Step 1: Multiply both sides by 23.
<span><span>y/23</span>=7
</span><span><span><span>(<span>y23</span>)</span>*<span>(23)</span></span>=<span><span>(7)</span>*<span>(23)
</span></span></span><span>y=<span>161 is our answer.
</span></span>Let's solve number 8 step-by-step.
<span>n−4.85=12.6
</span>Step 1: Add 4.85 to both sides.
<span>n−4.85+4.85=12.6+4.85
</span>n=17.45 is our answer.
<span>
</span>Let's solve number 12 step-by-step.
<span><span>m/5</span>=8
</span>Step 1: Multiply both sides by 5.
<span><span>m/5</span>=8
</span><span><span><span>(<span>m/5</span>)</span>*<span>(5)</span></span>=<span><span>(8)</span>*<span>(5)
</span></span></span><span>m=40 is our answer.
</span><span>
</span>Let's solve number 16 step-by-step.
<span><span>a/12</span>=8
</span>Step 1: Multiply both sides by 12.
<span><span>a/12</span>=8
</span><span><span><span>(<span>a/12</span>)</span>*<span>(12)</span></span>=<span><span>(8)</span>*<span>(12)
</span></span></span><span>a=<span>96 is or answer.</span></span>
R = 8 tan(x) sec(x)
In order to solve this, we are going to use the following:
r = sqrt(x^2 + y^2) //but in this case, we don't need this.
tan(x) = Y / X
X = r cos(x)
Y = r sin(x)
<span>(r cos x)^2 = 8(r sin x)</span>
x^2 = 8y
