Answer:
7x+ 5y <= 10
Step-by-step explanation:
As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.
It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.
On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.
Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is
7x+ 5y <= 10
Answer:
a) 1 cupcake = $5.50
b) 1 Popsicle = $3.50
Step-by-step explanation:
Let s = cost of one soda
Let c = cost of one cupcake
Let p = cost of one Popsicle
From the given information we can create 3 equations:
- Equation 1: s + c + p = 22
- Equation 2: s + 3c + 3p = 40
- Equation 3: c = p + 2
Subtract Equation 1 from Equation 2 to eliminate the variable s:
s + 3c + 3p = 40
<u>- s + c + p = 22</u>
<u> 2c + 2p = 18</u>
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Substitute Equation 3 into this new equation and solve for p:
⇒ 2c + 2p = 18
⇒ 2(p + 2) + 2p = 18
⇒ 2p + 4 + 2p = 18
⇒ 4p = 14
⇒ p = 3.5
Substitute the found value of p into Equation 3 and solve for c:
⇒ c = p + 2
⇒ c = 3.5 + 2
⇒ c = 5.5
To find the cost of a soda (s), substitute the found values of p and c into Equation 1:
⇒ s + c + p = 22
⇒ s + 5.5 + 3.5 = 22
⇒ s = 13
Therefore,
- 1 soda costs $13
- 1 cupcake costs $5.50
- 1 Popsicle costs $3.50
Answer:
B
Step-by-step explanation:
If the ratio of the length of the chalkboard to the width is 4:3, this means that the length of this one is 7* 4/3=28/3. This can be rewritten as approximately 9.33 inches, or answer choice B. Hope this helps!
Answer:
4 and 2/3 from choice A on the promblem
