the answer to the question is E and B .
Answer:
father = 32 s = 5 y/o
Step-by-step explanation:
f s = 160 ====> s = 160/f
f+4 = 4 ( s+4)
f + 4 = 4 (160/f +4)
f + 4 = 640/f + 16
f^2 + 4f = 640 + 16 f
f^2 -12f - 640 = 0 Use Quadratic formula to find f = 32 then s = 5
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
Answer:
<h2>7.4inches</h2>
Step-by-step explanation:
Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.
According to the rule;
![\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}](https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7BsinU%7D%20%3D%20%20%5Cfrac%7Bv%7D%7BsinV%7D%20%3D%20%5Cfrac%7Bw%7D%7BsinW%7D%5C%5C%5Cfrac%7Bu%7D%7BsinU%7D%20%3D%20%5Cfrac%7Bw%7D%7BsinW%7D)
Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;
![\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in](https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7Bsin73%5E%7B0%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7Bsin23%5E%7B0%7D%20%7D%5C%5Cusin23%5E%7B0%7D%20%3D%203sin73%5E%7B0%7D%5C%5Cu%20%3D%20%5Cfrac%7B3sin73%5E%7B0%7D%20%7D%7Bsin23%5E%7B0%7D%20%7D%5C%5Cu%20%3D%20%5Cfrac%7B2.87%7D%7B0.39%7D%20%5C%5Cu%20%3D%207.358%5C%5Cu%20%3D%207.4in)
The length of u is 7.4inches to nearest 10th of an inch