Which equation corresponds to the following word problem?
Cory spends $6.50 on snacks at a gas station. He also buys gas, which costs $2.78 per gallon. If he spends a total of $24.00 at the gas station, how many
gallons of gas did he buy? Let g equal the number of gallons of gas.
(1 point)
O 6.509 +2.78 = 24.00
O 2.789 -6.50 = 24.00
O 6.50g - 2.78 = 24.00
2.789 +6.50 = 24.00

Answers

Answer 1

Answer:

Cory bought 6.30 gallons of gas at the gas station.

Step-by-step explanation:

total amount = cost of snacks + amount spent on gas

[tex]$\$ 24.00=\$ 6.50+\$ 2.78 \mathrm{~g}$[/tex]

[tex]$\$ 2.78 \mathrm{~g}=\$ 24.00-\$ 6.50$[/tex]

[tex]$\$ 2.78 \mathrm{~g}=\$ 17.50$[/tex]

[tex]$g=\frac{\$ 17.50}{\$ 2.78}$[/tex]

[tex]$g=6.30$[/tex]

Learn more about gallon refer:

https://brainly.com/question/18591352

Related Questions

Find the length indicated.
6) Find AB
x + 14
x + 14
А A
C с
B
12

Answers

x=minus8
-8+14=6
-8+14=6
6+6=12

HELP ASAP I WILL MARK BRAINLIEST FIND X AND Z PLEASE INCLUDE THE WORK!

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Answer:

The value of x is 3 and z is 115

EXPEND AND SIMPLIFY (x-5)²​

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[tex](x - 5 {)}^{2} [/tex]

[tex] {x}^{2} - 2(x)(5) + {5}^{2} [/tex]

[tex] {x}^{2} - 10x + 25[/tex]

2 minus the product of 3 and p
Write an algebraic expression

Answers

Answer:

2 - (3*p)

Step-by-step explanation:

Find g (x) - f (x).

g (x) = x^2 + 1 and f (x) = 2x + 5

Answers

Find g (x) - f (x).

g (x) = x^2 + 1 and f (x) = 2x + 5= lxwxh

Fiona drove 489.75 miles on the freeway without any break. She took 7.5 hours. How
much was her average speed for the trip?

Answers

65.3 mph 489.75/7.5 = 65.3

If you get it correct you get brainlest and 56 points

Answers

Answer:

5

Step-by-step explanation:

5 feather. There are 3 feather of 6 in and 2 of 7 in. If we add them then it will be 3 + 2 = 5

Answer: 5?

Step-by-step explanation:

Multiply. (2x+5)(3x^2+2x+1)

a. 6x^3+19x^2+12x+5
b. 6x^3+15x^2+12x+6
c. 6x^3+19x^2+8x+6
d. 6x^3+18x^2+20x+5

Answers

Solution is in attachment !!

[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]

Answer:

a. [tex]6x^{3}+19x^{2}+12x+5[/tex]

Step-by-step explanation:

[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]

Find the missing probability. P(A)=2/5,P(B|A)=920,P(A∩B)

Answers

I think you meant P(B | A) = 9/20.

By definition of conditional probability,

P(B | A) = P(A ∩ B) / P(A)

so that

P(A ∩ B) = P(A) × P(B | A) = 2/5 × 9/20 = 18/100 = 9/50

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Answers

Step-by-step explanation:

If the parabola has the form

[tex]y = a(x - h)^2 + k[/tex] (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

[tex]y = \dfrac{1}{6}(x - 8)^2 + 6[/tex]

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

[tex]\text{focus} = (h, k +\frac{1}{4a})[/tex]

where [tex]\frac{1}{4a}[/tex] is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is

[tex]f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}[/tex]

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

[tex]\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6[/tex]

solve for y:
x^3 + (1/a)y= xy+9

Answers

Step-by-step explanation:

[tex] {x}^{3} + ( \frac{1}{a} )y = xy + 9[/tex]

[tex]x {}^{3} + \frac{y}{ay} = xy + 9[/tex]

[tex]x {}^{3 } = xy + 9 - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = xy - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = y(x - \frac{1}{a} )[/tex]

Divide both sides by x-1/a

[tex] \frac{x {}^{3} - 9}{x - \frac{1}{a} } = y[/tex]

7.
Evaluate the function rule for the given value. f(x) = 15x for x = 3

A. 14,348,907
B. 45
C. 3375
D. 225

Answers

Answer:

45

Step-by-step explanation:

f(×) = 15x

f(3) = 15(3)

= 45

give brainliest please I need it to level up

Answer:

C. 3375

Step-by-step explanation:

c.3375  

since x is 3 you then type the equation like this 15^3 and multiply 15 three times  

...............................................................................................................................................

15^3

Given  :  for x =3.

To find : evaluate the function rule for the given value.

Solution : We have given  .

For x = 3.

Rule :  If  

Then   = 15*15*15.

 = 3375.

Therefore,  = 3375.

If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 4 and the 5
Between the 5 and the 7
Between the 7 and the 8
Between the 8 and the 0

Answers

Between the 5 and 7  is the answer

Which One is the Correct answer? 1,2,3, or 4?


Please hurry...

Answers

Answer:

Step-by-step explanation:

47.50 + 4x = 65.90

Help please will give brainlist

Find x+y

Answers

Answer:

62

Step-by-step explanation:

2y-5 and 95 are vertical angles so they are equal

[tex]2y - 5 = 95[/tex]

[tex]2y = 100[/tex]

[tex]y = 50[/tex]

3x and 144 form a linear pair angle so

[tex]3x + 144 = 180[/tex]

[tex]3x = 36[/tex]

[tex]x = 12[/tex]

x=12 and y=50 so

[tex]12 + 50 = 62[/tex]

Answer:

x + y = 62

Step-by-step explanation:

To find x + y we first need to find the value of x and y separately

first to find x

3x + 144 = 180 (linear pair property used)

3x = 180 -144

3x = 36

x = 36/3

x = 12

Now we need to find the value of y

2y - 5 = 95 (vertically opposite angles are equal)

2y = 95 +5

2y = 100

y = 100/2

y = 50

Now they are asking to add

x + y = ?

12 + 50

= 62

translate mathematical word sentence into written expression: a/2=9

Answers

Answer:

a/2 = 9

a divided by 2 gives 9.Half of a is equivalent to 9.

Can you guys help I need to turn this in like now

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Answer: -17/12  or -1 5/12

Step-by-step explanation:

Can someone help me with this one too it’s geometry btw

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Answer:

30

Step-by-step explanation:

step by step is in photo!

Hope this helps,

Have a wonderful day!

Answer:

< CAB + < DAC = < DAB

or, 2x + ( x + 7 ) = 52

or, 2x + x + 7 = 52

or, 3x + 7 = 52

or, 3x = 52 – 7

or, x = 45/3

or, x = 15

Now,

< CAB = 2x = 2 x 15 = 30

a group of 30 people take it that your coffee is 12 people do not take tea and 15 people take coffee than the number of people who take Tea​

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Step-by-step explanation:

12 coffee

3 people

pls mark brainliest

15 answer

A circle has a radius of 10 feet. find the area of the circle. show your work. use 3.14 for pi
need help plzzz​

Answers

Answer:

314ft²

Step-by-step explanation:

The formula for the area of a circle is [ A = πr² ].

= π(10)²

= 100π

= 314

Best of Luck!

Plz help 57.3 - 4.32 =

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Answer:

52.98

Step-by-step explanation:

Help me ASAP giving all good reviews

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Answer:

34 people. (extremely sorry if this is wrong! please tell me if it is.)

Step-by-step explanation:

197 people were in the survey. First we can subtract 57 from 197 because 57 people dont like cats or dogs.

197-57 = 140

and to find the number of people that chose cats but not dogs, we subtract 106 from 140 which leaves us with 34 people.

Can you plz help me with this

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Answer:

1.794

Step-by-step explanation:

use the calculator

Answer:

1.794

Step-by-step explanation:

5. 5

2. 99

× 0.6

--------

1794

+0000

---------

1.794

Write the correct inequality sign (< or >) that belongs between the two
values.
15/3 _____ Square root of 30
HELP IT DUE TODAY

Answers

Answer:

15 divided by 3 = 5

Square root of 30 = somewhere around 5

5 = 5

Step-by-step explanation:

It's equal too.

I need help please hurry

Answers

Answer:

I think 42 $

Step-by-step explanation:

Ans; 84÷2 = 42 , 168÷6 =42 ,.....

I hope I helped you^_^

3(x+4)=7x-18 brainliest

Answers

Answer:

x=15/2

give brainliest please

Answer:

3(x+4)=7x-8

3x+12=7x-8

7x-3x=8+12

4x=20

x=20/4

x=5

Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8

B. y= 1/2x-9/2

C. y=x-6

D. y=2x-12

Answers

Answer:

The correct choice is option D. y = 2x -12

Step-by-step explanation:

slope of the points (5,-2) and (8,4) is m = 2

y — intercept of the points (5,-2) and (8,4) is b = -12

Now, put it all together, and you'll get :  y = 2x -12

Pls help it's due today It's DUE IN 8 MINUTES.

Answers

Answer:

84 pounds

Step-by-step explanation:

Please help! I’ll give brainliest to whoever answers also! Thank you!

Answers

Answer:

450 football

liked 625

didnt like 175

sorry if i didnt explain it right didnt understand how the stated the quetion

The relationship between adult dog weight X in pounds and the daily recommended amount of dog food Y in cups is proportional.

Write an equation for the relationship. How much dog food is recommended for a 25 pound adult dog?

please help me
no links or files
thank you !

Answers

The 5/12 cups of dog food are recommended for a 25-pound adult dog

Step-by-step explanation:

Given:

The relationship between the weight of the adult dog (X) and the amount of dog food in cups (Y) is proportional.

To find:

Dog food for the 25-pound adult dog

Solution:

The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.

[tex]X\propto Y\\\text{The equation for the relationship will be given as :}\\X=kY\\k=\frac{X}{Y}= Constant[/tex]

From the table given, we can calculate the value of the constant k.

[tex]k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{1\frac{2}{3}}\\k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{\frac{5}{3}}\\k=\frac{60}{1}=\frac{40\times 3}{2}=\frac{50\times 6}{50}=\frac{100\times 3}{5}\\k=60[/tex]

Let the dog food recommended for the 25-pound adult dog be y.

Weight of the dog = x = 25 pounds

Cups of dog food recommended = y

k = 60

Using the equation for the given relationship:

[tex]25=60\times y\\y=\frac{25}{60}=\frac{5}{12}[/tex]

The 5/12 cups of dog food are recommended for a 25-pound adult dog.

Learn more about direct proportion here:

brainly.com/question/1791656

brainly.com/question/1266676

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