5/6 times 2/7 and simplified

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

i think the x intercept is 2 in problem a

Answer:

A)x=150

B)2Pie*raduis

A2)2

B2) don't know what a bearing is srry

A3)???

Hope This Helps!!!

The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.

Note that the coefficient of the variables may be different by a scale factor.

To get the required equation, we will divide the equation through by 3 as shown;

Divide through by 3;

6x/3 + 3y/3 = 9/3

2x + y = 3

Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Learn more on systems of equations here:https://brainly.com/question/847634

Answer: A

Step-by-step explanation:

Answer:

We can treat i as if it was a variable/symbol, with the caveat that

i * i = -1

[6]

(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i

[7]

-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i

[8]

2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i

[9]

(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i

Answer:

6.) 1 - 19i

7 ) -8 - 10i

8.) -6 + 8i

9.) 57 + 9i

not sure if its the right answer

Answer:

13.

We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)

14.

The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.

Answer:

x = 70

Step-by-step explanation:

Step-by-step explanation:

X - 4 = 0

X = 4

X - 2 = 0

X = 2

So the values of x are 2 and 4

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

Answer:

The area of this figure is 24mm.

Step-by-step explanation:

4mm*3mm=12mm

1mm*6mm=6mm

3mm*4mm=12mm/2mm=6mm

6mm+6mm+12mm=24mm

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!

Answer:

the other guy is correct, i think

Step-by-step explanation:

Answer in the pic hope it helps

Answer:

17,984,000

Step-by-step explanation:

because it is

Answer:

BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.

(~ meaning about)

Hope that helps

Answer:

c. (0, 8), it is how much gas the truck started with

d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)

Step-by-step explanation:

Answer:I think it would be the grocery store is at (-4, -8) but I not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

Answer:

C. San Francisco

Step-by-step explanation:

In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.

Answer:

San Fransisco

Step-by-step explanation:

Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.

Answer:

318+954

Step-by-step explanation:

divide 1272 by 2 to get what they would cost if they were the same amount then divide that by 2 to get 318 times that by 3 to get 954 and add 318 to get 1272

The required cost of the couch and coffee table is $848 and $424 respectively.

Given that,
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
let the cost of the coffee table be x,
Now the cost of the couch  = 2x
According to the question,
2x + x = 1272
x = 424
now,
Cost of the couch = 424 [2] = 848

Thus, the required cost of the couch and coffee table is $848 and $424 respectively.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

u-3>-6

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

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

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40

Answer:

total bill = $15.23

Step-by-step explanation:

4.5 + 2.5 + 7.5 = 14.5

14.5 x 0.05 = 0.725

14.5 + 0.725 = 15.225 ≈ 15.23

I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)

Hope this helps :)

The better buy should be buy twelve cans for 7 dollors

Given that,

Based on the above information, the calculation is as follows:

The first option is

[tex]= 7\div 12[/tex]

= $0.58

The second option

[tex]= 4\div 6[/tex]

= $0.67

Learn more: brainly.com/question/16911495

Answer:

4 n 4 √ 3 n

Step-by-step explanation: