Mathematics Middle School

if their are fewer than 7 gallons of gas in the tank. Use f as your variable.

Write a inequality.

Answers

Answer 1
f<7 because there are fewer than 7 gallons in the tank meaning it cannot be greater than or equal to so it is just less than

Related Questions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Part II: How does each variable expression relate to the length, width, and height of the box when folded?

Answers

We already know that our square sheet of cardboard has sides of 6 foot length, and after cutting a square of side x from each one of the corners, the new length of our sides will be [tex]6-2x[/tex]. Now, once we fold the sides to create our box, both the length and the width are going to be equal to [tex]6-2x[/tex]; after all, we are creating of box out of a square. The height on the other hand will be one the sides that we cut to create our box; therefore, the height will be [tex]x[/tex].
To summarize, after folding, we will have a box of height = [tex]x[/tex], width= [tex]6-2x[/tex], and length=[tex]6-2x[/tex] 

Can someone help me making sure if my answers is right. Just need lil help. Thanks.

Answers

1. You are correct that each person gets 3/4 of a pizza. Be careful with your drawing. 2/4, 3/4, and 4/4 are very different from 1/4 #2, 1/4 #3, 1/4 #4.

2a. Correct

2b. You have shown the fraction shaded. The question asks for the fraction unshaded.

To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. How many hours will it take for them to be 260 miles apart?

Answers

This is a very good question to know about. People who make tests really like it.

The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.

The difference in speeds  is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???

t = d/r
t = 260/8
t = 32.5 hours.

Thats 32 1/2 hours.

HELLLLLLPPPPPPPPPP.......... i asked some friends for help and they didn't really understand it.... And my teachers are confusing me as well...

Answers

Hi there!

To find surface area, all you do is add up all of the areas if the faces.

41 × 32 = 1312
1312 × 2 = 2624

41 × 49 = 2009
2009 × 2 = 4018

32 × 49 = 1568
1568 × 2 = 3136

2624 + 4018 + 3136 = 9778

9778 ft squared would be the answer.

Hope this helps!
Hey there!

In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:

SA = 2(lw + wh + lh)

Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:

SA = 2(41 * 32 + 32*49 + 41*49)

Multiply:

SA = 2( 1312 + 1568 + 2009) =

Add:

SA = 2(2880 + 2009)

SA = 2(4889)

SA = 9778 ft squared, or C.

Hope this helps!

A field has a length of 50.5 meters, and a width of 9.2 meters. What is the perimeter and the area of the field?

Answers

To find the perimeter, you add up all of the side lengths:

50.5 + 9.2 = 59.7
59.7 * 2 = 119.4

The perimeter is 119.4 meters. 

To find the area, you multiply the length and width together:

50.5 * 9.2 = 464.6

The area is 464.6 meters squared. 

Hope this helps!

During the month of June, Ava kept track of the number of days she saw birds in her garden.she saw birds on 18 days of the month. what is the experimental probability that she will see birds in her garden on july 1?

Answers

An experimental probability value can be set up in the form of a fraction. The part (numerator) is the number of days she saw birds during the month of June. The whole (denominator) is the number of days in the month of June. Since this an experimental probability example, we can use the results from the month of June to assume she will see the same amount of birds in July. 

[tex] \frac{Days she saw birds in June}{Days in June} [/tex]

= [tex] \frac{18}{30} [/tex]

= [tex] \frac{3}{5} [/tex]

So the probability she will see birds in her garden on July 1st is [tex] \frac{3}{5} [/tex]
Experimental probability is based on the observations of the past. She saw birds for 18 days out of 31 total days in June. The experimental probability would be 18/31 or a 58.06% chance of seeing a bird on July 1st.

i also need help with this question

Answers

A. maybe true.

B. definitely true, the Most Appropriate choice.

C. false

D. false

If the dimensions of the rectangle are doubled what is the area of the new rectangle.

Answers

double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48

The measure of an angle is 41 degrees. What is the measure of a complementary-angle?

Answers

Hey there! :D

Complementary angles are equal to 90 degrees.

90-41= 49

The compliment is 48 degrees.

I hope this helps!
~kaikers
Angles that are complementary means they add up to be 90º.
90 - 41 = 49
Therefore, the measurement of its complementary angle would be 49º
Hope this helps!

if 2x+5= 12 for some value of x, then what does 6x+20 equal???

Answers

1. Solve for x in 2x + 5 = 12
2x + 5 = 12       Subtract 5 from both sides.
2x = 7               Divide 2 from both sides.
x = 3.5

2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41

Your answer is 41.


Here is the answer to the question

You are working as an apprentice for the bksb Newcastle Arena.



An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..



Use the following formulae:



Perimeter of a rectangle = 2l + 2w



Circumference of a circle = πd



π = 3.14



Area of a rectangle = lw



Area of a circle = πr²





What is the total perimeter of the pitch and seating area?

m



What is the total area of the pitch and seating area?



m2

Answers

To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.

To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.

Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.

Perimeter:

C= 3.14 x 20 m
C = 62.8 meters

62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter

Area:
A = 25 x 8
A = 200 square meters

A = 10 x 8
A = 80 square meters

A = 20 x 40
A = 800 square meters

A = 3.14 x 10^2
A = 314 square meters

Total Area: 314 + 800 + 80 + 200= 1394 square meters

can someone help me to pose a word problem... the answer is in the picture
right below

Answers

Mr Howard bought 3 pizzas to share with 7 of the boys. What fraction of the pizza did each boy get?
There are 3 boxes of Legos, each with the same amount of Legos inside. There are 7 kids over to play, and they want to split the Legos evenly for each of them. How much of the boxes of Legos does each person get?

Hope this helps!

A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass. 46 56 45 44 45 61 55 53 39 What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? a0 The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the a1 What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? a2

Answers

We first take the sum of the squares of the differences between the sample data and the limit 45 mph: 1^2 + 11^2 + 0^2 + (-1)^2 + 0^2 + 16^2 + 10^2 + 8^2 + (-6)^2 = 579. Dividing by 8 (# of cars less 1) gives 72.375, which is the variance. Taking the square root gives the SD of 8.5.
The measure of central tendency most affected by the 10th value of 1.5 mph is the mean. The median and mode are relatively unaffected since both involve the frequency of terms, and having a tenth term that is far below (like 1.5) will not affect it much as compared to if it was near the rest of the values (like anything below 39).
The new SD including the tenth car involves adding the deviation of (-43.5)^2 to the sum of 579, which gives 2471.25. Dividing by 9 (there are now 10 data points) and taking the square root gives the new SD of 16.6.

Answer:

a0 - 8.0

a1 - mean

a2 - 15.7

please help fast!! what is the surface area??

Answers

The two trapezoidal faces together have an area of
.. (5 in)*(5 in +9 in) = 70 in^2

The remaining surface can be unfolded to an area that is
.. (5 in)*(5 in +9 in +6.4 in +5 in) = 127 in^2

Together, these add to
.. 70 in^2 +127 in^2 = 197 in^2 . . . . . . . the 4th selection

A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

Answers

Chance of multiple of 5 is 4 / 20 or 1 / 5.
This means that the answer is 200 / 5
Answer = 40

Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.

Step-by-step explanation:

Since we have given that

Numbers between 1 to 20 = 20

Numbers which are divisible by 5 = 4

i.e. {5,10,15,20}

So, Probability that getting a number divisible by 5 is given by

[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]

If the number of trials = 200

Then, Number of times Mathieu expect to choose a multiple of 5 is given by

[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]

Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.

1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)

Answers

Answer:

(2,3)

Step-by-step explanation:

Given : [tex]x + y = 5[/tex]

           [tex]y=\frac{x}{2}+2[/tex]

To find: what point do the lines representing the two equations intersect

Solution:

[tex]x + y = 5[/tex]

[tex]y=\frac{x}{2}+2[/tex]

Plot the lines on the graph

Green line denotes  [tex]x + y = 5[/tex]

Purple line denotes [tex]y=\frac{x}{2}+2[/tex]

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)

angka 9,2,4, dan5 akan disusun menjadi dua bilangan berbeda. bilangan pertama disusun dari keempat angka dengan sussunan dari angka terbesar ke angka terkecil. bilangan kedua disusun dari empat angka dengan suaunan dari angka terkecil ke angka tebesar dengan terkecil yang dihasilkan adalah

Answers

Ini adalah Jawaban Tersertifikasi
Jawaban tersertifikasi mengandung isi yang handal, dapat dipercaya, dan direkomendasikan secara seksama oleh tim yang ekspert di bidangnya. Brainly memiliki jutaan jawaban dengan kualitas tinggi, semuanya dimoderasi oleh komunitas yang dapat dipercaya, meski demikian jawaban tersertifikasi adalah yang terbaik dari yang terbaik.

Choose the best description for the real number 34 over 3.

Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal

Answers

Answer:  The correct option is

(C) Rational, because it is a fraction.

Step-by-step explanation:  We are given to choose the best description for the real number 34 over 3.

The given real number can be written as :

[tex]f=\dfrac{34}{3}.[/tex]

We know that

a number of the form [tex]\dfrac{p}{q},~q\neq 0[/tex] is a rational number. That is, a fraction with non zero denominator is a rational number.

Since the given number can be written as a fraction, so it is a rational number.

Thus, option (C) is CORRECT.

Answer:

c

Step-by-step explanation:

can someone help me solve this

Answers

You are right before it’s 4 months.
Write an expression for both companies
m stands for the number of months
⇒ Company A has a $20 signing fee and charges $40 monthly. Signing fee will be the constant, because it's not influenced by the number of months. 40 will be the coefficient of m. The expression will be 20 + 40m
⇒ Company B has no signing fee and charges $45 monthly. 45 will be the coefficient of m, because the total charge is influenced by the number of months. The expression will be 45m

Determine the number of months
For both costs being equal, write an equation that equalizes both expression
45m = 20 + 40m

solve for m
45m - 40m = 20
5m = 20
  m = 20/5
  m = 4
For both costs being equal, it needs 4 months

ASAP


The Choir Booster Club had a budget of $1,300.00 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $1,543.23
B. $1,074.70
C. $543.27
D. $456.77

Answers

You do 225.30+482.25+135.68=843.23
Then you do 1300-843.23=456.77

Final answer:

After calculating the expenses, the Choir Booster Club has D. $456.77 left in their budget. This is determined by subtracting the costs of t-shirts, lost uniforms, and the holiday party from their starting budget of $1,300.00.

Explanation:

The Choir Booster Club started the year with a budget of $1,300.00 and spent money on various items. To calculate how much of the budget remains, we need to subtract the costs of the t-shirts, lost uniforms, and the holiday party from the starting budget:

Starting budget: $1,300.00Cost of t-shirts: $225.30Cost of lost uniforms: $482.25Cost of holiday party: $135.68

Now, subtract the total expenditures from the starting budget:

$1,300.00 - $225.30 - $482.25 - $135.68 = $456.77 remaining

Therefore, the correct answer is: D. $456.77

A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Answers

Answer: 48 pounds


Step-by-step explanation:

Given: A person who weighs 240 pounds burns 180 calories per mile of running.

There is a direct relation ship between the weight of the person and the calories burn.

If a person burns thirty-six calories by running one mile.

Let x be the weight of the person then

[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]

The weight of the person is 48 pounds.



The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 degree. How far is the sailboat from the lighthouse to the nearest foot?

Answers

About 422 feet.

Hope this helps!

Answer:

Step-by-step explanation:

Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint. Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal?

Answers

We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.

We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.

For Tina: [tex]\frac{7}{5}[/tex]

For Tyler: [tex]\frac{5}{7}[/tex]

In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.

For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]

For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]

Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.


Tina's favorite shade is more blue than Tyler's

What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

Answers


one semi circles area =pi.r²/2

one semi circle area = pi.2²/2=2.pi

three semi circle area =3.2.pi =6.pi

square area = 4² =16

area of composite figure = 6.pi+16

a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?

Answers

4th day = 500 liters
8th day 31.25 liters

On first day the tank had 8000 liters of water.

Half is removed so half of 8000 is 4000.

Subtracting 8000-4000 =4000

So at the end of first day 4000 liters of water is there.

Water in the tank at the end of second day:

Again half of 4000 is removed.

half of 4000 is 2000.

subtracting 4000-2000 =2000.

At the end of second day 2000 l of water is present in tank.

At the end of third day:

Again half of 2000 is removed.

half of 2000 is 1000.

subtracting 2000-1000 =1000.

At the end of third day 1000 l of water is present in tank.

At the end of fourth day:

Again half of 1000 is removed.

half of 1000 is 500.

subtracting 1000-500 =500.

At the end of fourth day 500 l of water is present in tank.

At the end of fifth day:

Again half of 500 is removed.

half of 500 is 250.

subtracting 500-250=250.

At the end of fifth day 250 l of water is present in tank.

At the end of sixth day:

Again half of 250 is removed.

half of 250 is 125.

subtracting 250 - 125 =125.

At the end of sixth day 125 l of water is present in tank.

At the end of seventh day:

Again half of 125 is removed.

half of 125 is 62.5.

subtracting 125-62.5 =62.5.

At the end of seventh day 62.5 l of water is present in tank.

At the end of eighth day:

Again half of 62.5 is removed.

half of 62.5 is 31.25

subtracting 62.5 - 31.25 =31.25.

At the end of eighth day 31.25 l of water is present in tank.

round 1.496 to the place value of the underlined digit (in this case, 9)

a. 1.4

b. 1.49

c. 1.5

d. 1.497

Answers

C. 1.5
The 9 gets rounded up to a 0, rounding the 4 to a 5.
C is your answer to your question!

Factor completely.

​ 40t−16 ​

Enter your answer in the boxes.

Answers

8(5t-2)
8 can go into 40  and 16.
40t/8 is 5t and 16/8 is 2
I hope this helped

The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).

To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:

40t - 16 = 8(5t) - 8(2) = 8(5t - 2)

So, the completely factored form of the expression 40t - 16 is 8(5t - 2).

I was hoping for help on this question

Answers

n= 4 3/8y
n=.21c
.21c= 4 3/8y
.048c=y

yukon covers 4.8% of canada

What multiplication expression can you use to solve 627÷11?

Answers

HEY THERE:)

The expression you can use is 57 * 11 and it equals 627.

Hope this helps u!
good luck.

~ TRUE BOSS
The multiplication expression that you can use to solve 627/11 would be 11 times 57. To get this expression, I divided 627 by 11 to get 57, then to check my work, I did the expression 57 times 11 which gave me 627, so 57 times 11 is your answer.
I hope this helped! :-)

<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?

I need answer ASAP!

Answers

Complementary angles are angles formed by the addition of two angles, which measure is 90 degrees.
Is given that angle one and angle two are complementary, in other words equal to 90 degrees. Also, is given that the measure of angle one is equal  52 degrees. For instance to find the measure of angle two, should be subtracted 52 out of 90.

m<1+m<2=90          Substitute the measure of angle one on the equation
   52+m<2=90          Subtract 52 in both sides
         m<2=38

The measure of angle two is equal 38 degrees. 



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