Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.

Mikey knows that the inequality representing this situation is 112+x≤260.

Select from the drop-down menu to correctly interpret the solution of this inequality.

Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148

Answers

Answer 1

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

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Related Questions

75 is what percent of 150

Answers

Question:

75 is what percent of 150

Explanation:

Percentage Calculator:75 is what percent of 150=50

Answer:

50

Answer:

75 is 50 percent of 150.

Step-by-step explanation:

This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.

There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.

If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)

We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.

After that you will find that the equation shows the value x = 50. You have now found the value of x.

I hope this helps :)

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3

Answers

Answer:

24 R1

Step-by-step explanation:

   

24R1 is the answer. H

For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?

Answers

Answer:

$500 donated to charity

Step-by-step explanation:

2,000 times 0.25 is 500

Answer:

$1500

Step-by-step explanation:

Oliver gives 1/4 of the amount he gets paid to charity therefore

2000/4= 500  (this is 1/4 of the amount he gets paid)

2000-500=$1500

He is left with $1500

Which is the best estimate of the product 3,780 × 2?

Answers

Answer:

8000

Step-by-step explanation:

A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?

Answers

Answer:

12.60

Step-by-step explanation:

I don't feel like explaining it, since I'm not good at giving detail sorry <3

12.60 I hope this helps …………..

If Toye, whose speed is in ratio 5:6 to Koye uses 72min to finish a race. How long will the same race take Koye?​

Answers

Answer:

86.4

Step-by-step explanation:

Toye:Koye

5:6

5 - 72

6

(6*72) ÷ 5

=86.4 min

Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)

Group of answer choices

8 and 1 over 2 ÷ 1 over 4

8 and 1 over 2⋅ 1 over 4

8 and 1 over 2 + 1 over 4

8 and 1 over 2 − 1 over 4

Flag question: Question 4

Answers

Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  [tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

hello, i need help c:

Answers

Answer: there were 50 guests

Step-by-step explanation:

This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle

Answers

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Please help I do not understand thanks

Answers

I don’t think I can help you with this, but I hope you have a nice day and figure it out!

Please can someone help me with this​

Answers

Answer:

1 : 0.44.

Step-by-step explanation:

93 : 41

= (93/93) : (41/93)

= 1 : 0.44.

For BOTH Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles.

The tiles that Bruce used were each 1/4 of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.

Number of tiles Area covered
6 1
12 2
18 3
Bruce and Felicia want to know whose tiles cover the most area per tile.

Answers

If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,

Number of tiles(y)    6   12   18

Area covered (x)      1     2     3

Felicia tile's relationship between the number of tiles and the area covered is,

(1/6) =(12/2)=(18/3)

y=(1/6)x

The equation of a line to represent y, the area each person covered using x tiles for Bruce is,

y =(1/4)x.

Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

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In a class of 33 pupils, there were 3 girls who were in the school quiz team and 14 boys who were not in the school quiz team. (a) How many boys were there in the school quiz team if there were 17 girls in the class?

Answers

33 pupils - 17 girls = 16 total boys in the class

16 boys - 14 boys not on the team = 2 boys on the team.

Answer: 2

Domain:
Range:
HELP RQ

Answers

i'm not too sure, as i'm learning this at the moment too. correct me if i'm wrong but wouldn't both be (infinity, infinity) ?? since there's arrows meaning its infinite

The primary difference(s) between the standard deviation and the coefficient of variation as measures of risk are:

Answers

How long does it have to be

does the graph represent a function?

Answers

Answer:

No

Step-by-step explanation:

yes it is

for it to not be a function it would need to have a curve or somthing that make it go somehwere else

the odds against your bet are to 3. if you bet $27 and win. how much you win​

Answers

If you win, you will get eighty-one dollars ($81.00)
If you win you will get $81 because 3*27= 81

Suppose you are traveling the world and want to visit Africa this month. The probability that you go to Africa is 23%. When you get to Africa, you can relax at a bar, a pool, or in your hotel room. The probability you relax at a bar is 19%. Assuming traveling to Africa and relaxing at a bar are independent events, what is the probability that you travel to Africa and relax at a bar? Round to the nearest thousandths

Answers

Answer:

   0.044

Step-by-step explanation:

The joint probability of independent events is the product of their individual probabilities.

  P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044

Answer:

Step-by-step explanation:

At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.

Enter the correct answers in the boxes.

Expression:

Answers

Answer:

try using a different app, it helps with all types of mathematical equations

A store pays $79 for a desk and marks the price up by 10%. What is the new price?​

Answers

The new price would be $86.9

Answer: 86.90$

Step-by-step explanation:

10/79=7.90$. 7.90$ + 79.00$= 86.90$

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes​

Answers

Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

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

[tex]y = g(x) + c[/tex]

Here,  [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.

Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

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SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]

[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]

[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]

[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]

[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]

[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]

[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]

[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]

[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]

A family pays $34.56 for souvenirs on vacation if the sales tax is 7.5% what is the total amount the family spent on souvenirs

Answers

Answer: $37.15

Step-by-step explanation:

$31.958

Step-by-step explanation:

I'm not sure guys if that's right answer

can someone help with this problem

Answers

Check the picture below.

if something traveled 36 feet in 22 frames in a 60 fps video, how fast would that be in mph?

Answers

i calculated that the answer will be roughly 24.9 miles per hour.

Roughly 24.9 miles per hour

henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet

Answers

This question is basically asking for the area of the tablecloth. Remember that A = l • w.

12 • 7 = 84

So, Henry will need to buy 84 ft^2 of fabric.

A secured loan would most likely be used to pay for

A. college
B. a car
C. groceries
D. a phone

Answers

Obviously a phone and grocers :) Just kidding it’s probably college

A secured loan would most likely be used to pay for a car, the correct option is B.

We are given that;

The four options

Now,

A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.

The lender can sell the collateral to cover repayment of the loan if the borrower defaults.

Car, since it is a common type of collateral for secured loans.

College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.

Therefore, by loan the answer will be car.

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