Mike’s average monthly budget for groceries is $600. Here is a list of his grocery budget for 2017. How much money does he have available for May? If he spends all of the money he has available, what is the median of his spending?

Answer:

a=-2

b=3

Step-by-step explanation:

Solve the system of equations.

2a -5b = -19

3a + 5b = 9

Add the two equations together.

2a -5b = -19

3a + 5b = 9

------------------------

5a  =            -10

Divide by 5

5a/5 = -10/5

a = -2

Now we can find b

2a-5b = -19

2(-2) -5b = -19

-4 -5b = -19

Add 4 to each side

-5b = -15

Divide by -5

b = 3

a=-2

b=3

Given

2a-5b=  -19     (equation1)

3a+5b =  9       (equation2)

now add both equation 1 and equation 2

                           2a-5b=-19

                           3a+5b= 9

                           ------------------

                             5a = -10          (as +5b and -5b get canceled)

5a = -10

a = -2

(substitute in equation 2 or in equation 1)

3(-2)+ 5b= 9

-6 +5b =9

5b = 9+6

5b = 15

b= 3

therefore

a= -2

b= 3

verification:

2(-2)-5(3) = -19

-19 = -19

hence verified.

Answer: its c i just took the flvs test

Step-by-step explanation:

The experimental probability that the card selected was a J, Q, or K is 1/3.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that  a gamer drew one card and recorded its value.

They continued this for a total of 100 draws.

Card         A   2  3  4 5 6 7 8 9 10 J Q K

Frequency 4  7  5  6 7 6 8 10 7 10 8 12 10

The total number of cards drawn is 4+7+5+6+7+6+8+10+7+10+8+12+10 = 90.

The number of cards drawn that are either a J, Q, or K is 10+8+12 = 30.

Therefore, the experimental probability of drawing a J, Q, or K is:

30/90 = 1/3

Hence,  the experimental probability that the card selected was a J, Q, or K is 1/3.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

B, C, and E

Step-by-step explanation:

A. A constant term is defined as a term without a variable, so this answer is wrong

B. 6 and 1 are both like terms, so B is correct

C. A coefficient is defined as a number multiplied by the variable, C is correct.

D. There are two terms, not 3

E. 8 is being multiplied so it is a factor, E is correct

F. 3 has been proven to be correct so F is wrong.

Answer:

7.49

Step-by-step explanation:

When rounding, if it is below 4 you round down, but above 5 is rounded up. Also, you look to the decimal closest to the number you are rounding. So, the greatest possible number is 7.49.

Answer:

Step-by-step explanation:

x-12= -6

You have to add 12 to both sides to get x by itself you add because it is negative a you need to do the opposite expression to get rid of the 12

+12     +12

x= 6

Answer: 1/12

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

x*x-1*1=-4

x-1=-4

x-1+1=-4+1

x=-3

Answer:

28 grams

Step-by-step explanation:

.

Answer:

The number expressed in the models below is 0.63 (six tenths and three hundredths)

Step-by-step explanation:

It is represented as follows:

One flat represents 1 whole, so there are 0 whole numbers

One rod represents 1 tenth, so there are 6 tenths (represented by 6 rods)

One unit represents 1 hundredth, so there are 3 hundredths (represented by 3 units)

Answer:

I think it's 77 I'm not sure get back to me on it

Answer:

the answer should be B

Step-by-step explanation:

using advanced methods of taking tests and doing multiple choice I've come to realization the answer is never A and if the answer is a then you are wrong. the teachers always think that you're going to guess C so the answer will never actually be C. the last answer is D and the teacher will never make the answer D because who actually uses D. therefore using this advanced process of elimination we have cut the terms that answer should be and most definitely will be totally 100% be B. Trust

The answer is : d (2,6,18,54,162)

the geometric sequence formula : a+ ar^1 +ar^2+ar^3+...........

where r= common ratio

the sequence is : 2,6,18,54,162

  r = An/An-1         ( as per the formula)

  r = 162/54 = 3

  r = 54/18 = 3

lly common ratio =3

in the given options the only option d satisfies all  the conditions  of the geometric sequence

verification :

a= 2

ar^1 = 2*3 = 6

ar^2 = 2*9 =18

ar^3 = 2*27 = 54

ar^4 = 2*81 = 162

hence verified   the sequence  is 2,6,18,54,162

Answer:

x=127

y=180-27=53

We know this is correct as 127+53=180 which is a straight line.

A: The bank is located at (4, 8)

B: The lake is located at (9, 2)

C: The deli is located at (3, 3)

D: The bakery is located at (9, 6)

Answer:

C

Step-by-step explanation:

most of data is around 52

Answer:Most of that data is around 52.

Step-by-step explanation: well i agree with the first answer but sorry if im wrong.

Answer:

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are. So if you have five values, add them all together, then divide the result by five

Answer:

It is likely that you roll a 2 and a 5. There are 36 possible combinations when rolling two dice, and one of those combinations is a 2 and a 5. Therefore, the probability of rolling a 2 and a 5 is 1 in 36, which is considered likely.

Answer:

Mr. Martinez drove 216.66 miles.

Step-by-step explanation:

75-36=39
39/0.18=216.66

Answer: 45.

Step-by-step explanation: I'm not the greatest at math but I do believe that is the answer.

Answer: The train travels 50 miles per hour

Step-by-step explanation:

You already figured out the slope! The explanation is that the train travels 50 miles each hour.

The Slope Intercept form of the equation would be y=50x

If you substitute x with any number you can solve to see how much hours the train traveled.

So the train travels 50 miles per hour!

I hope this is what you needed help with!

The formula for calculating simple interest is:

Simple Interest = (Principal x Rate x Time) / 100

Where:

Principal = the initial amount of money (the "principal sum")

Rate = the interest rate (expressed as a decimal or percentage)

Time = the length of time the interest is applied (usually in years)

It's important to note that simple interest is a method where the interest is calculated only on the original principal sum, not on any accumulated interest.

The simple interest formula is

i = P*r*t

where,

--------------------

An example:

You borrow $500 at a simple interest rate of 2% over 3 years

Use those values to compute the following:

i = P*r*t

i = 500*0.02*3

i = 30

The amount of interest only is $30; meaning the total amount to pay back is $500 + $30 = $530

Answer:

a = 81

Step-by-step explanation:

109 + a = 180

a = 81

Answer:

It's C

Step-by-step explanation:

x = 5 X

y = -1/4 × 5 X

2x + 7 = 12 ✓

It's C

Step-by-step explanation:

x = 5 X

y = -1/4 × 5 X

2x + 7 = 12 ✓

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Answer: The left side 2.5 does not equal to the right side 0.8, which means that the given statement is false. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

Greater or less than

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0.3 is greater than 0.03

0.3 > 0.03

The 3 comes first after the decimal point in 0.3, and a 0 comes first after the decimal point in 0.03 so 0.3 is bigger.

Answer:

0.3 > 0.03

Step-by-step explanation:

I think you should watch videos on decimals to see how to do them.

You see 0.03 has two places after the decimal point while 0.3 has one place after the point. You can match them by adding a 0 to 0.3 so that it also has two places to get a clearer look.

Like this:

0.3 turns into 0.30 so now it has two places after the point like 0.03

so if there is ONLY a 0 BEFORE the point, dont think about it. so lets look at the numbers AFTER the point. We added an extra 0 after the 3 so its 30. but the other decimal is only 03, which we can look at it as just the number 3 because only 0 is in front of it and 0 equals nothing.

looking at the two numbers 30 and 3, which one is greater? 30.

Therefore, 0.3 > 0.03