Julie’s family took a 4-day trip. Julie’s mother wrote an equation to calculate their gas mileage, m, in miles per gallon. Let d = the number of total miles driven on the trip. Let g = the total number of gallons of gas used for the trip.


=



What was the gas mileage for the 4-day trip?

Answer:

243

Step-by-step explanation:

3*3*3*3*3

Answer:

Back Prism: 60

Front Prism: 90

Total Volume: 150

Step-by-step explanation:

Answer:

(n + 2)² + 6

Step-by-step explanation:

pattern 1:

Total squares = 15

3² + 6 = 16

Pattern 2:

Total squares = 22

4² + 6

Pattern 3:

Total squares = 31

5² + 6

Looking at the series,

There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6

Hence, expressing the nth pattern in the form ;

(n + a)² + b

Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;

b = 6

Hence, we have ;

(n + 2)² + 6

Answer:

H(t) = 7 + 2t.

Step-by-step explanation:

H(t) means the height at time t:

H(t) = 7 + 2t.

Answer:

Step-by-step explanation:

Total number of workers = 20+ 15 + 10 = 45

Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways

If 7 workers are selected from 20 workers on a day shift;

Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;

∴

P( all 7 selected workers will be from the day shift) is:

[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]

[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]

= 0.0095

The possible number of ways to select all day shift workers is:

[tex]=(^{20}_{7})[/tex]

The  possible number of ways to select all swing shift workers is:

[tex]=(^{15}_{7})[/tex]

The possible number of ways to select all graveyard shift workers is:

[tex]= ( ^{10}_{7})[/tex]

∴

The probability that all selected workers are from the same shift is:

[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]

[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]

= 0.0095 + 0.00079 + 0.000015

= 0.010305

P(selected workers are from at least two different shifts)

= 1 - P(selected workers are from 1 shift from any of the 3 shifts)

= 1 - 0.010305

= 0.989695

≅ 0.9897

We can determine the probability that at least one shift is unrepresented through the following ways:

Let assume that:

[tex]X_1 =[/tex] event that day shift is unrepresented

[tex]X_2 =[/tex] event that swing shift is unrepresented

[tex]X_3 =[/tex] event that graveyard shift is unrepresented

Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.

[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift

[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.

So;

[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]

[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]

[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]

[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]

[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]

[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]

[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]

Probability (that at least one shift is unrepresented) is:

[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]

= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0

≅ 1.124

Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

Total fee = 42 + 8 = $50

Commission rate = [tex]\frac{Commission}{Total\ fee}*100[/tex]

Commission rate = [tex]\frac{8}{50}*100[/tex]

Commission rate = 0.16 * 100 = 16%

Therefore,

Commission of the employee = 16%

Answer:

Yeah I'm pretty much just clarification that it's 16% if anyone was wondering ;-; I don't really have much purpose here

Answer:

4p-28=44, 4p=44+28, p=72÷4, p=18

Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

Answer:

I think these will work 2/4, 14/16, 4/8 if not sorry

Step-by-step explanation:

Answer:

1/2 = 2/4

7/8 = 14/16

1/2 = 5/10

Step-by-step explanation:

i h0pe this is c0rrect-

Answer:

209

Step-by-step explanation:

we know 6 to the third power is 6 x 6 x 6 which we know equals 216. We know 14 divided by 2 is 7. So, 216 minus 7 is 209. That’s your answer (brainliest please?)

Answer:

4:10 PM

Step-by-step explanation:

15 minutes can be slit into 5 minutes and 10 minutes

There are 60 minutes in an hour!

3:55 + 0:05 = 4:00

4:00 + 0:10 = 4:10

Answer:

4.10am

Step-by-step explanation:

3.55+15=3.70

There are 60 mins in an hour so take away 60 mins from 70 mins which is 10 mins.

Then you add one to 3 because 60 mins makes one hour which will give you 4

=4.10am

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Answer:

2300000%

Step-by-step explanation:

0.01 = 1%

1 = 100%

23000 X 100 = 2300000%

Hope It Helps

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

Answer:

what change in the chart That want to what's the overall change in the consumptions. if you don't kno what consumptions is look it up

Answer:

y=20

Step-by-step explanation:

that what i got

Step-by-step explanation:

Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a³b, a²b², ab³, b4 ... The solution to the problem of the binomial coefficients without actually ... The upper index n is the exponent of the expansion; the lower index k indicates which term ... 1a5 + a4b + a3b² + a²b3 + ab4 + b5.

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

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x = ¹¹⁄₃₆ Or 0.30555555555

x + ⁴⁄₉ = ¾

x + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉

x = ¹¹⁄₃₆ Or 0.30555555555

- PNW

Answer:

x= 1/2

Step-by-step explanation:

13x+7 and 9x+9 with x inserted in both equal 13.5

(if the equation was 13x+7=9x+9)

[tex]6(2x - 5) = - (x + 4)[/tex]

[tex]12x - 30 = - x - 4[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

6(2x - 5) = -(x + 4)

Use the distributive property.

12x - 30 = -(x + 4)

12x - 30 = -x - 4

Add x to both sides.

13x - 30 = -4

Add 30 to both sides.

13x = 26

Divide both sides by x.

x = 2

Your final answer would be x = 2

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

Answer:

I would say 340 grams........

Step-by-step explanation:

340 grams

Answer: 240

Step-by-step explanation:

they are wrong because 720-480=240.