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ziro4ka [17]
3 years ago
12

Shanley would like to give $5 gift cards

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

$5x + $4y ≤ $120

let x = 10

y = 5

$70  ≤ 120

Step-by-step explanation:

Note that

> means greater than

< means less than

≥  means greater or equal to

≤ means less than or equal to

the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤

$5x + $4y ≤ $120

let x = 10

y = 5

(50) + 20  ≤ 120

$70 ≤  120

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astra-53 [7]

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case you can identify that:

adjacent=10\\hypotenuse=x

\alpha=35\°

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20

The length of the wooden board is: 12.20 feet.

5 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

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7 0
3 years ago
You now have 8 identical pieces of fruit. You would like to distribute all 8 of these pieces of fruit to your friends A, B, and
Ghella [55]

Step-by-step explanation:

Imagine 8 pieces of fruit and 2 bars are arranged in a line such that the 2 bars split the rest of the fruits into 3 portions.

Hence the number of ways = 10C2 = 45.

5 0
3 years ago
X+20≥-7 i need help pls lollllllllllllllllllllllllll
Zina [86]

Answer:

Step-by-step explanation:

x is greater or equal to 13

7 0
2 years ago
20 ounces into pounds'
evablogger [386]

Answer:

1.25

Step-by-step explanation:

20 ounces would be 1.25 pounds.

Please mark as brainliest! Thanks! If you need anymore help just let me know! :)

7 0
3 years ago
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