Answer:
18 bags
Step-by-step explanation:
the ratio of the chips to the candy is :36/54 =4/6=2/3
it means for 2 bags of chips , you will put 3 candy bars
you will need 18 bags with no food left
<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x
y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.
Let us assume that the number of months of service is 10 months. then, the total cost would be:
y = 40 + 90(10)
y = 40 + 900
y = 940
Answer:
4 feet
Step-by-step explanation:
see the attached figure with letter to better understand the problem
we know that
A board is half way up each ladder
so
point B is the midpoint segment AC and point F is the midpoint segment AG
Than means
AB=AC/2 -----> AB=10/2=5 units
BF is parallel to segment CG ----> by Triangle midpoint segment theorem
step 1
In the right triangle ABD
Find the length side AD
Applying Pythagorean Theorem
![5^2=3^2+AD^2](https://tex.z-dn.net/?f=5%5E2%3D3%5E2%2BAD%5E2)
solve for AD
![AD=4\ ft](https://tex.z-dn.net/?f=AD%3D4%5C%20ft)
step 2
Find the length of segment DE (h)
Remember that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
Triangles ABD and ACE are similar by AA Similarity Theorem
so
![\frac{AB}{AC}=\frac{AD}{AE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3D%5Cfrac%7BAD%7D%7BAE%7D)
substitute the given values
![\frac{5}{10}=\frac{4}{AE}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B10%7D%3D%5Cfrac%7B4%7D%7BAE%7D)
![AE=10(4)/5=8\ ft](https://tex.z-dn.net/?f=AE%3D10%284%29%2F5%3D8%5C%20ft)
----> by segment addition postulate
substitute
![8=4+DE](https://tex.z-dn.net/?f=8%3D4%2BDE)
solve for DE
![DE=4\ ft](https://tex.z-dn.net/?f=DE%3D4%5C%20ft)
therefore
The distance from the bucket to the ground is 4 feet
Answer: x= 1/196
Step-by-step explanation:
<u>Given</u>
- a = m(2) + 2
- value of a when m = -3
<u>Substitute m with -3</u>
a = -3*2 + 2
a = -6 + 2
a = -4
<u>Answer</u>
The value of a when m = -3 is -4