Anna's car requires 5 1/2 gallons of gasoline to make 4 round trips to work and back. If her car can travel 24 miles per gallon of gasoline, how far, in miles is one round trip to work and back?​

Answer:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Step-by-step explanation:

Answer:

By cross multiplication

x = 5 × 30

x = 150.

150/5 = 30

30 = 30

Hence, the value of x is 30 units.

[tex][/tex]

Answer:

130

Step-by-step explanation:

91 is 70 percent of the price

70% of 130 is 130*0.7 = 91

Answer:

The answer is n + 3.

Step-by-step explanation:

1) Simplify.

[tex] \frac{2n + 6}{2} [/tex]

2) Factor out the common term 2.

[tex] \frac{2( n+ 3)}{2} [/tex]

3) Cancle 2.

[tex]n + 3[/tex]

Therefor, the answer is n + 3.

Answer:

Step-by-step explanation:

Using the relation :

S = ut + 1/2at²

S = distance

Car A :

Initial speed, u = 40 mph

a = negative acceleration = - 1 mph

At time, t = 4

S = 40(4) - 0.5(1)(4²)

S = 160 - 8

S = 152 miles

Car B :

Initial speed, u = 30 mph

a = acceleration = 0.5 mph

S = 30(4) - 0.5(1)(4²)

S = 120 - 8

S = 118 m

Change in distance / time

Rate of change = (152 - 118)m / 4 hours

Rate of change = 34 mi / 4 hr

Rate of change = 8.5 miles per hour

Answer:

you can download it here

Step-by-step explanation:

Answer:

$12,5

Step-by-step explanation:

50/4=12,5$

brainliest pls

Answer:

$12.5

Step-by-step explanation:

let x be the money he make in 1 hour

50 : 4 = x : 1

4x = 50

x = 12.5

Answer:

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To find the amount of percent a value takes up, here's the formula:

Let X = heads

Let y = amount of coinflips

Let z = percent of coinflips are heads

z=x/y

Step-by-step explanation:

We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have

[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]

Therefore by AAS congruent condition we can say that ,

[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]

Hence Proved!

Answer:

i don no

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

she is correct

Step-by-step explanation:

To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear

279 - 156 = 123 m

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer:

Your answer is letter d

Step-by-step explanation:

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

Answer:

Penelope get to ride 30 rides if she spends $35 in all

Step-by-step explanation:

r= ride

20 +0.50r =35

sibtract 20 on each side

0.50r = 15

divide esach side by 0.50

r= 30

Answer:

a = 87

Step-by-step explanation:

36+57=93

180-93=87

Answer:

87°

Step-by-step explanation:

Since this is a triangle, triangles add up to 180°

Since we know the 2 angles, we are able to find a

180 - 36 - 57 = 87

a = 87°

Answer:

I think it is 5.6e+12

Step-by-step explanation:

Answer:

113.1cm²

Step-by-step explanation:

Answer: It is 36 pi

Step-by-step explanation:

I took the test on k-12

Answer:

5 and -6

Step-by-step explanation:

Answer:

5 and -6

Explanation:

[tex]xy = - 30 \\ x + y = - 1[/tex]

and you solve using the substition method

Answer:

1.42857142857

Step-by-step explanation:

Well that the answer I got on my phone.

Answer:

15 times because if the spinner is divided into 4 equal parts and you spin it a total of 60 times you would divide 60 by 4 to get your answer

Answer:

15 because 15 for each red, blue, green and yellow

Step-by-step explanation:

15 x 4 = 60