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marishachu [46]
3 years ago
9

(03.05 MC)Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to bu

y a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps.
Mathematics
2 answers:
astraxan [27]3 years ago
5 0

If Maya only has $15 dollars to spend and she buys a notebook for $5.50 then that leaves her with $9.50 and if she has to save $7.75 then that leaves her with $1.75 and since she wants to buy cookies then you have to figure out how many cookies she can get with $1.75 plus the tax but food doesn't have tax so she can buy 7 packages of cookies since there only 25 cents is right on point at $1.75 I hope I answered your question with all the calculating I had to do and the typing I went through to explain it to you !!!!!!!!!!!!!!!!!!!!!!!! now could you please give me a thank you and  hit the brain aster button please and thank you so much

 if you do !!!!!!! 

Lunna [17]3 years ago
5 0

Answer:

7 packages.

Step-by-step explanation:

Let x represent number of cookie packages.

We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.

Amount left after buying notebook would be 15-5.50=9.50.

As Maya needs to save $7.75, so money left to buy cookies would be 9.50-7.75=1.75.

We are also told that cost of each cookie package is $0.25. The cost of x packages would be 0.25x.

The cost of x packages should be less than or equal to 7.75. We can represent this information in an inequality as:

0.25x\leq 1.75

\frac{0.25x}{0.25}\leq \frac{1.75}{0.25}

x\leq 7

Therefore, Maya can buy at-most 7 packages.

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Answer:

ST=(6,30)

Step-by-step explanation:

8 0
3 years ago
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
3 years ago
Kelly's bill at a restaurant came to $21.52. If
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$3.87 for the 18% tip.
6 0
3 years ago
In a lilac paint mixture , 40% of the. Mixture is white paint ,20%is blue and the rest red how many cups of red paint are used
fredd [130]

Answer: 40%

Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%

4 0
3 years ago
Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

3 0
4 years ago
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