Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.​

Answers

Answer 1

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

[tex]221 + x \leq 304[/tex]

To solve it, we treat it similarly to an equality, hence:

[tex]x \leq 304 - 221[/tex]

[tex]x \leq 83[/tex]

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at https://brainly.com/question/11713066

Answer 2

The answer prior to this is WRONG. The correct answer is "at most 83" miles.


Related Questions

4 + 4 + 4 + 4 + 4 if it is converted into multiplication form it becomes​

Answers

The answer would be 5x4

identify the constant term in this expression 28m + 4n - 12m +3 =

Answers

Step-by-step explanation:

28m+4n-12m+3

28m-12m+4n+3

16m+4n+3

Write the subtraction expression as an equivalent addition expression and then evaluate it.

−2−(−10)

Answers

Answer:

-2+10=8

Step-by-step explanation:

subtracting a negative is the same as adding a positive

(also they are like terms so this could be written as 10-2 but use the first one bc that's what they want)

Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Answers

Step-by-step explanation:

Diagram 1

ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)

Diagram 2

ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)

Diagram 3

ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HL

Diagram 4

ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)

The slope is -10 and it passes through (2,5)

Answers

Answer:

y=-10x+25

Step-by-step explanation:

WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7

Answers

Answer: 4x + 3 = 39

Step-by-step explanation:

Because you don't know how much each pizza costs, you can write it as x.

You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.

That added up should equal 39 because thats how much he spent.

Answer: The answer is C ( 4x + 3 = 39 )

Step-by-step explanation:

4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.

1) 4x + 3 = 39

2) 4x = 39 - 3

You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)

4) 4x = 36

5) x = 36/4

You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.

6) x = 9

You divided 36/4 which will equal to 9

7) 4(9) + 3 = 39

What is the slope of this line?

Answers

Answer:

y= -3x -3

Step-by-step explanation:

What is median number.

Answers

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Write an equation in standard form of the line that contains the point ​(-1,4) and is parallel to​​ (has the same slope​ as) the line y=2x-7

The equation of the line in standard form is

Answers

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

Estimate and then solve 8,784 ÷ 61 = ___.

Answers

Answer:

8784/61

144#

Mark as a brainlist

Answer:

144

Step-by-step explanation:

i did it

The answer for this lol thanks

Answers

Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

Carefully evaluate f (1)

Answers

Answer:

it should be f

Step-by-step explanation:

Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?

a-Carrie and Maria

b-Maria and Nayla

c-Carrie and Nayla

d-All three live equal distances from each other.

Answers

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

Please find attached the image required to answer this question. TO learn more, please check: https://brainly.com/question/2390433

The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.

Answers

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891

what is 24x + 4 = 52​

Answers

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

What is 2+21*13-45+12*67

Answers

Answer:

1034

Step-by-step explanation:

Answer:

1034

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT

Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?

12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches


Answers

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

[tex]12^1/_4[/tex] [tex]inches[/tex]

Step-by-step explanation:

We can make this an equation

[tex]-3 ^1/_{2}+15^3/_4[/tex]

We can make them the same denominator by looking for the GCF which we get as 2

Now we have

[tex]-3 ^2/_{4}+15^3/_4[/tex]

Do the equation and we get

[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer

The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other

Answers

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.

Answers

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

We are required to select all the ratios that have the same constant of proportionality as Ada's observation.

let y and x represent amount of juice and oranges respectively;

y = juices squeezed out

x = Oranges squeezed in

y = k × x

5 = k × 3

5 = 3k

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

https://brainly.com/question/18611326

Answer:

Step-by-step explanation:

9:15 15:25 6:10

Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

Answers

it is a function
since there is one value of Y for every value in ask this relation is a function

two hundred parents attend the grade 6 orientation last year. Only 160 parents attended this year. fimd the percent of decrease in the attendance ​

Answers

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

You have 400 euros. What is this amount in US dollars?
Help me pls i will mark the best answer brainlist

Answers

Answer:

452.38 US dollars.

Step-by-step explanation:

I got 452.59 hope this helps

Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age

Answers

Answer:

Victoria is 4 years older than her neighbor

Step-by-step explanation:

V = x + 4

x = neighbors age

x + x + 4 < = 14...here is the inequality

2x + 4 < = 14.....this is just a simplified form of the inequality

not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14

2x < = 14 - 4

2x < = 10

x < = 10/2

x < = 5.....the oldest age of the neighbor is 5

(Hope this helps can I pls have brainlist (crown☺️)

Answer: 5

Step-by-step explanation:

Let x be the age of Victoria's neighbor.

Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.

The sum of their ages is no more than 14 years, which can be written as:

x + (x + 4) ≤ 14

Simplifying the inequality:

2x + 4 ≤ 14

2x ≤ 10

x ≤ 5

Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.

1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number?

Answers

Answer:

21

Step-by-step explanation:

1, 1, 2, 3, 5, 8, 13, 21

The required eighth number in the Fibonacci sequence is 21.

Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined

What is a sequence?

The sequence is defined as the specific pattern of numbers in which they are arranged.

Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8

The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21

Thus, the required eighth number in the Fibonacci sequence is 21.

Learn more about the Fibonacci sequence here,
https://brainly.com/question/26507758
#SPJ6

The farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?

Answers

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

What is cos(3π)? 1 0 –1 –2
whoever answers this is literally my hero

Answers

[tex]\cos 3\pi = \cos \pi =-1[/tex]

Answer:

It's C

Step-by-step explanation:

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

If (8^2)P = 8^4, what is the value of p?

Answers

Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

Please mark brainliest i need 1 more

Step-by-step explanation:

What’s the answer to 4(1+9x)

Answers

Answer:

36x+4

hopes this helps

Answer:

Explanation:

4 ( 1 + 9x)

4 + 36x

Twice a number diminished by seven

A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2

PLZ HELP IM NOT SURE WITH MY ANSWER π-π​

Answers

Answer:

2x-7

Step-by-step explanation:

let the no be X

twice the no =2X

diminished by 7= 2X-7

Answer:

C)2x - 7..................

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