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Veronika [31]
3 years ago
7

Marc spent 1/4 of his monthly budget on food and 3/5 of his monthly budget on gasoline he spent a total of 272$ on food and gaso

line what was his monthly budget
Mathematics
1 answer:
Elis [28]3 years ago
6 0
If you make 1/4 and 3/5 have like denominators you get 5/20 and 12/20
then you add the together to get 17/20 and take the total amount payed in total and divide it by the numerator 17 and you get 16 so each 1/20 is $16 then you multiply 16 by 20 to get his monthly budget of $320
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Semmy [17]

Answer:

sin \alpha   =  \frac{opposite}{hypotenuse}  \\ sin   \alpha  =  \frac{8}{17}  \\ sin \alpha  =  0.470588235294117 \\  \alpha  =  {sin}^{ - 1} (0.470588235294117) \\  \alpha  = 28.07 \: degrees

3 0
2 years ago
Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
3 years ago
Martin bought a flower vase from a florist. The box in which the vase was packed was shaped like a rectangular prism. What is th
GREYUIT [131]

Answer:

In order for the appropriate answer to be given, you need to include the original measurements as well.

3 0
2 years ago
What is the slope of the line described by the equation below? Y-7=8(x-14
WINSTONCH [101]

Answer: 8 is the slope


Step-by-step explanation:

Y-7=8(x-14)

Y-7= 8x-112

Y= 8x -105


3 0
3 years ago
A manufacturer of processing chips knows that 2\%2%2, percent of its chips are defective in some way. Suppose an inspector rando
kipiarov [429]

The data in the question seems a bit erroneous. I am writing the correct question below:

A manufacturer of processing chips knows that 2%, percent of its chips are defective in some way. Suppose an inspector randomly selects 4 chips for an inspection. Assuming the chips are independent, what is the probability that at least one of the selected chips is defective? Lets break this problem up into smaller pieces to understand the strategy behind solving it.

Answer:

The probability that at least one of the selected chips is defective is 0.0776.

Step-by-step explanation:

The question states that the probability of defective chips is 2% i.e. 0.02. Let p denote the probability of selecting a defective chip so, p = 0.02

An inspector selects 4 chips, which means n=4 and we need to compute the probability that at least one of the selected chips is defective. Let X be the number of defective chips selected. We need to compute P(X≥1) which means either 1, 2, 3 or 4 chips can be defective.

We will use the binomial distribution formula to solve this problem. The formula is:

<u>P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ</u>

where n = total no. of trials

          p = probability of success

          x = no. of successful trials

          q = probability of failure = 1-p

we have n=4, p=0.02 and q=1-0.02=0.98.

We need to compute P(X≥1) which is equal to:

P(X≥1) = P(X=1) + P(X=2) + P(X=3) + P(X=4)

A shorter method to do this is to use the total probability theorem:

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ (0.02)⁰(0.98)⁴⁻⁰

          = 1 - (0.98)⁴

          = 1 - 0.9224

P(X≥1) = 0.0776

4 0
3 years ago
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