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Zinaida [17]
3 years ago
14

Match the system of equations with their solution

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0
The first one is (51,26) the second one is (47,33) the third is (-17,-36) the fourth is (-31,-56)
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The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's
spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x                           Remove the brackets

1600 + 4x = 8100 - x                            Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x     Do the subtraction

4x = 6500 - x                                        Add x to both sides

4x + x = 6500 - x + x        

5x = 6500                                            Divide by 5

5x/5 = 6500/5                                      

x = 1300

1300 gallons were added to the station's tank.

3 0
3 years ago
Read 2 more answers
Is 1/6 greater than 1/3
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No, 1/3 is greater than 1/6. 
1/3 converts to 2/6. 
2/6 > 1/6
4 0
3 years ago
Read 2 more answers
IF U SEE THIS HELP PLEASE!!!
pshichka [43]

Answer:

I have the pictures of the whole answer  book if you want to see them add me on disco

Step-by-step explanation:

6 0
3 years ago
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d
astra-53 [7]

Answer:

Step-by-step explanation:

The persons who have diseases = 19%

The persons who do not have diseases = 81%

Probability for the test showing positive = Prob of actual disease and shows positive + Prob of no disease but test shows wrong

= 0.7*0.19+0.04*0.81\\=0.133+0.0324\\=0.1654

Prob that the person actually has the disease given that the test administered to an individual is positive= \frac{0.133}{0.1654} \\=0.0804

30) A    B   C   total

    2x  7x   x      10x

P(A) = 0.2, P(B) = 0.7, P(C) = 0.1

Let D be the event that the product is defective

P(D/A) = 0.032, P(D/B) = 0.034 and P(D/C) = 0.056

Required probability =P(C/D)

= \frac{P(D/C) P(C)}{P(D/A) P(a)+P(D/B) P(B)+P(D/C) P(C)}

by using Bayes theorem for conditional probability

= \frac{0.1*0.056}{0.2*0.032+0.7*0.034+0.1*0.056} \\=\frac{0.0056}{0.0064+0.0238+0.0056} \\\\=0.156425

32) 7 digit phone numbers with repitition including 0 will be

= 10^7

Numbers which have atleast one 7 = total number - numbers which do not have a single 7

= 10^7 -9^7

the probability that a 7-digit phone number contains at least one 7

=\frac{10^7-9^7}{10^7}

3 0
2 years ago
One quick algebra Q. (look at attached picture)
ss7ja [257]

the answer is b Im pretty sure


5 0
3 years ago
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