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rewona [7]
3 years ago
13

chet needs to buy 4 work shirts,all costing the same amount .the total cost before chet appplies a $25 gift certificate can be n

o more than $75.write an inequality to find the possible amounts that chet pays per shirt.
Mathematics
1 answer:
Rashid [163]3 years ago
5 0
So for this problem, let us use x as the cost before Chet would apply a $25 gift certificate. Based on the problem, we can see that the original cost of the product cannot be more than 75 which means that it can be equal to 75 or less than 75. We can actually express the inequality as x< or = 75 since we are looking for the cost before Chet applied the $25 gift certificate. This means that we do not need to add in the 25 yet since the question asks for the cost before the application of the discount. 
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Sarah opens a small bag of chocolate candies and notices that out of 210 candies, 63 are brown. She assumes the color breakdown
mezya [45]

Answer:

1440

Step-by-step explanation:

We can solve this problem by applying the rule of three.

In fact, we know that:

- Over a package of 210 candies,

- The number of brown candies is 63

- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800

So we can set up the following rule of three:

\frac{x}{4800}=\frac{63}{210}

where

x = number of brown candies when the total number of candies contained in the package is 4800

Solving the expression for x, we find:

x=\frac{63}{210}\cdot 4800 =1440

So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.

7 0
3 years ago
Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll
Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

P(X = x) = 0 otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0
3 years ago
A house that costs $125,400 appreciates at a rate of 3% each year. What is the value of the
ser-zykov [4K]

Answer:

The value after three years is $137,027.97

Step-by-step explanation:

Here, we want to get the value of the home after 3 years

Generally, we have the exponential formula as follows;

y = P(1 + r)^t

where P is the original cost which is $124,400

r is the rate of increase which is 3% = 3/100 = 0.03

t is the time which is 3 years

Substituting these values;

y = 125400(1 + 0.03)^3 = $137,027.97

6 0
3 years ago
Given: ΔАВС, m∠ACB = 90°,m∠ACD = 30°,AD = 8 cm. Find: CD, Perimeter ΔABC <br><br> Please solve!
sukhopar [10]
If m ACD = 30 => m DCB = 60.
In triangle ACD:
sin 30^{o}=sin  \frac{AD}{AC} =\ \textgreater \   \frac{1}{2}  =  \frac{8}{AC} =\ \textgreater \  AC=16&#10;
CD= 8 \sqrt{3}
BC= 16\sqrt{3}
AC^{2}+CB^{2}=AB^{2} => AB=\sqrt{1024}=32.
=> P=16+32+16 \sqrt{3}=48 +16 \sqrt{3}.

8 0
3 years ago
Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?
Ganezh [65]
Helen is 16 and Jane is 8
3 0
2 years ago
Read 2 more answers
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