Multi-step: Glen finds the sum of (3 3/10 + 4 1/3) + 2 1/2 and Ana finds the sum of (4 1/3 + 3 3/10) + 2 1/10. What is the total sum if their answers?

First we find how much was left as 1/8 full

16.8 times 0.125

2.1

Now add this to the amount that was added to reach full gauge

2.1 +16.8

18.9

Next we find out what 3/4 of a full tank is

18.9 times 0.75

14.175

So, the gas tank has 14.175 gallons when it is 3/4 full

- 5 < x < 5

the solution is going to be all the points that are less than 5 units away from zero

The answer is d hope this helps

the difference of 1640-952 is 688

14. is $14 dollars for each cd and if she buys 5 it's $70

15. is 3 baseballs

16. 16,000 students

17. 28 DVD's

Answer:

17.83

Step-by-step explanation:

d = r*t

d = 41 miles

t = 2.3 hours

r = ??

d = rt            Substitute

41 = r * 2.3   Divide by 2.3

41 / 2.3 = r   Switch sides

r = 41/2.3

r = 17.83 mph  Answer

he plasma membrane is phospholipid bilayer. The layers are two and are continuous flat sheets. They have proteins and cholesterol embedded in them, for facilitating the transport of compounds and maintanng fluidity. The lipid bilayer is both hydrophobic and hydrophillic.

Answer: The smallest possible number is 136.

Step-by-step explanation:

1. You need to find the Least common multiple (LCM), which is the smallest of the common multiples of 17 and 8.

2. You can descompose 17 and 8 into primes factors. Then, you obtain:

[tex]17=17[/tex]

[tex]8=(2)(2)(2)=2^{3}[/tex]

3. Now, you must choose commons and no commons with the greatest exponent and multiply them. Therefore the result is:

[tex](17)(2^{3})=136[/tex]

[tex]LCM=136[/tex]

The smallest possible number that is divisible by both 17 and 8 is 136.

To find the smallest possible number that is divisible by both 17 and 8, we need to find their common multiple. The common multiples of 17 and 8 are found by multiplying them together and continuing until a common multiple is obtained. The smallest common multiple of 17 and 8 is 136.

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Answer:

5 1/4 ft

Step-by-step explanation:

... Area = length × width

Dividing by length, we find width to be ...

... width = Area / length

... = (60 3/8 ft²)/(6 ft +5 1/2 ft) . . . . total length is the sum of the 2 board lengths

... = (483/8 ft²)/(92/8 ft) = 483/92 ft = 5 1/4 ft

_____

Math with Fractions

[tex]60\dfrac{3}{8}=60+\dfrac{3}{8}=60\cdot\dfrac{8}{8}+\dfrac{3}{8}\\\\=\dfrac{60\cdot 8}{8}+\dfrac{3}{8}=\dfrac{480+3}{8}=\dfrac{483}{8}[/tex]

Division with fractions can be done a couple of different ways.

We have used the second method here.

[tex]11\dfrac{1}{2}=11+\dfrac{4}{8}=11\cdot\dfrac{8}{8}+\dfrac{4}{8}\\\\=\dfrac{11\cdot 8}{8}+\dfrac{4}{8}=\dfrac{88+4}{8}=\dfrac{92}{8}[/tex]

Now we have the two numbers as improper fractions, so the division looks like ...

[tex]\displaystyle\frac{\left(\frac{483}{8}\right)}{\left(\frac{92}{8}\right)}=\frac{483}{92}=\frac{23\cdot 21}{23\cdot 4}\\\\=\frac{21}{4}=5\frac{1}{4}[/tex]

The final answer would be 5.16

ava dis u? haha

The answer would be 6.08 consider the numbers behind the decimals as they will be helpful to know where to put your decimal point in your answer. Hope this helps!

x^2 = √150

x^2 = √(25 * 6)

x = + - 5√6

Answer

Last one

+ - 5√6

Answer:

299999929132

Step-by-step explanation:

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Melissa has completed 85% of the bike course by riding 51 out of 60 miles. This was calculated by dividing the distance ridden by the total distance and multiplying by 100.

To find out what percentage of the bike course Melissa has ridden, we need to divide the distance she has ridden by the total distance of the course and then multiply by 100 to get the percentage. Melissa has ridden 51 miles of the 60 miles long course. Therefore, the percentage of the course she has ridden is calculated as follows:

When we perform this calculation, we get:

(51 / 60) * 100 = 85%

So, Melissa has ridden 85% of the bike course.

The proposed definition of a regular polygon as having all angles of the same measure is incomplete because it omits the criterion of all sides being equilateral. Hence, some irregular polygons could fit this definition, making it not entirely valid.

The definition of a regular polygon as “a polygon with all angles the same measure” is not completely valid.

A more precise definition of a regular polygon is a polygon that is both equiangular (all angles have the same measure) and equilateral (all sides have the same length).

While all regular polygons have angles of equal measure, the definition provided is incomplete as it does not include the requirement that all sides must also be of the same length.

For example, consider an isosceles triangle (a triangle with two sides of equal length).

This triangle has two angles of the same measure and one that is different. B

ased on the provided definition, one might incorrectly classify this as a regular polygon, even though it is not.

Thus, the correct answer is C. No, because some polygons that are irregular fit this definition.

Final answer:

The definition for a regular polygon as 'a polygon with all angles the same measure' is not fully accurate because it omits the requirement for all sides to be of equal length.

The correct answer to the question is C. No, because some polygons that are irregular fit this definition.

Explanation:

The definition of a regular polygon that states it is “a polygon with all angles the same measure” is not entirely valid. While it's true that a regular polygon does have equal angles, the definition is incomplete without the inclusion of another important characteristic: all sides must be of equal length.

Therefore, the correct answer to the question is C. No, because some polygons that are irregular fit this definition.

An irregular polygon can also have equal angles but different side lengths, so the definition given would incorrectly include some irregular polygons.

When thinking about a regular polygon, it's essential to consider both equal angles and equal side lengths, just as when thinking about a triangle, it includes a three-sided figure lying on a plane with three angles adding up to 180 degrees.

x is equal to 27.

In order to find the value of x, you have to use the average formula and solve for the missing variable. The mean formula is all of the numbers added together divided by the number of inputs.

(inputs added)/(number of inputs) = Average

(2 + 7 + x)/3 = 12 ----> Multiply by 3

9 + x = 36 ----> Subtract 9

x = 27

To find the value of x when the average of 2, 7, and x is 12, you set up and solve the equation (2 + 7 + x) / 3 = 12. After simplifying, you will find that x equals 27.

The question asks us to find the value of x when the average (arithmetic mean) of the numbers 2, 7, and x is 12. To find the value of x, we use the formula for the arithmetic mean, which for three numbers is (number1 + number2 + number3) / 3 = average. So, we set up the equation: (2 + 7 + x) / 3 = 12.

First, we multiply both sides of the equation by 3 to eliminate the fraction:
2 + 7 + x = 36. Next, we add the known values on the left side: 9 + x = 36. Finally, to find x, we subtract 9 from both sides of the equation: x = 36 - 9, which simplifies to x = 27. Therefore, the value of x is 27.

Answer:

Consider

Amount of Rice (cups) : Amount of Water(cups)

1.2/5

2. 3/7.5=2/5

3. 5/12.5=2/5

4. 8/20=2/5

As in all cases Amount of Rice and Amount of water in cups are same.

i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.

So, Among all the statements

⇒ The amount of rice is the dependent value. The amount of water is the dependent value are correct.

Which means if either of them (Amount in cups) is given we can find other.

Answer:

Step-by-step explanation:

The entire question is:

A map shows the town where Niko lives. The actual distance from​ Niko's house to his school is 3 miles and measures​ one-half inch on the map. The actual distance from​ Niko's school to the library is 4 miles. How long is this distance on the​ map?

To solve this problem, we can apply the rule of three, if 3 miles are one-half inch on the map, how long would be on the map for 4 miles.

[tex]x=4miles\frac{\frac{1}{2}in }{3miles}=4\frac{1}{6}in=\frac{2}{3}in[/tex]

Therefore, 4 miles would be 2-thirds inch on the map.

The actual distance of 4 miles would be 2-thirds inch on the map.

If 3 miles is shown by one-half inch on the map, then to find the length on the map for 4 miles, you can set up a proportion:

(3 miles) / (1/2 inch) = (4 miles) / x

Now, cross-multiply:

3 * x = 4 miles * (1/2 inch)

3x = 2 miles * inch

So , divide both sides by 3 to find the length on the map (x):

x = (2 miles * inch) / 3

x = 2/3 inch

So, the correct length on the map for 4 miles is indeed 2/3 inch.

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iman has 48  cards and mateo has 80 cards

To find out how many sports cards Iman and Mateo each have, we can set up an algebraic equation based on the total number of cards and the packs they have. After solving the equation, we find that Iman has 48 sports cards, and Mateo has 80 sports cards.

The student's question pertains to a problem involving arithmetic and algebra. Iman and Mateo have a total of 128 sports cards combined. The question asks us to find out how many sports cards each child has. Let's call the number of cards that each pack contains 'x'. Therefore, Iman's cards can be represented as 6x and Mateo's cards as 10x. According to the information, 6x + 10x equals 128.

Combining the terms gives us 16x = 128. We can find 'x' by dividing both sides of the equation by 16, which gives us x = 8. Therefore, Iman has 6 packs times 8 cards per pack, which results in 48 cards, and Mateo has 10 packs times 8 cards per pack, adding up to 80 cards.

Iman has 48 sports cards and Mateo has 80 sports cards.

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ensure all fractions have the same denominator

we require - [tex]\frac{1}{4}[/tex] = - [tex]\frac{4}{16}[/tex]

thus - [tex]\frac{7}{16}[/tex] - [tex]\frac{4}{16}[/tex] - [tex]\frac{5}{16}[/tex]

take out a common factor [tex]\frac{1}{16}[/tex]

= [tex]\frac{1}{16}[/tex] (- 7 - 4 - 5 )

= [tex]\frac{1}{16}[/tex] × - 16 = - 1

if you're solving for x it's -30

steps: x/-3+20=30

first subtract 20 from both sides then you'll have

x/-3=10 then multiply both sides with -3

you should have x by itself and -30 on the other side

answer x=-30

if you're solving for x it's -30

steps: x/-3+20=30

first subtract 20 from both sides then you'll have

x/-3=10 then multiply both sides with -3

you should have x by itself and -30 on the other side

answer x=-30

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

she will have to pay $61875 of interest at the end of the 15 years.

in total  she would have to pay $211875

Hey there!!

Equation given :

... 78 = -2 ( m + 3 ) + m

... 78 = -2m - 6 + m

... 78 = -m - 6

... 78 + 6 = -m

... 84 = -m

... m = -84

Hope my answer helps!!

Hello there!

The answer should be the third option C.

[tex]78 = -2(m + 3) + m[/tex]

First you had to simplify from both sides of the equations.

[tex]78=-2(m+3)+m[/tex]

[tex]78=(-2)(m)+(-2)(3)+m[/tex]

[tex]78=-2m+-6+m[/tex]

[tex]78=(-2m+m)+(-6)[/tex]

[tex]78=-m+-6[/tex]

[tex]78=-m-6[/tex]

Then you can flip by the equation.

[tex]-m-6=78[/tex]

Add by 6 from both sides.

[tex]-m-6+6=78+6[/tex]

[tex]-m=84[/tex]

Divide by -1 from both sides.

[tex]\frac{-m}{-1}=\frac{84}{-1}[/tex]

Simplify should be the correct answer.

[tex]m=-84[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

no decimals?

are u asking a factor or something that makes up a whole number or.....?

A factor of a number divides the number. For example, 2, 3, and 4 are all factors of 12. Similarly, we say that 12 is a multiple of 2, or a multiple of 3, because one can multiply 2 by a whole number to get 12. A number is a multiple of its factors.

Answer:

Angle total (180°) = 15° + other 2 angles

165° = other 2 angles

EACH of the other 2 angles = 165/2 = 82.5°

Step-by-step explanation:

The function increases by by 2 because of yo ylook at it 2+2=4 and well backwards 4-2=2 so the answer is 2. Hope hat made a lot of sense and that it helped you a lot with your problem and answer

To solve the problem, an algebraic equation is set using the given conditions. After solving it, it's established that Nate has 28 one-dollar bills and 21 five-dollar bills.

Let's solve the problem in two steps. First, we already know the total sum of money Nate has, which is $267, and the value of his eleven $10 bills, which is $110. So, we subtract $110 from $267, leaving $157 to be divided among the $5 and $1 bills.

Next, we assign variables to the unknowns. Let's call the no of $1 bills 'x' and no of $5 bills ''x-7'. A $5 statement is worth five $1 bills so that we can rewrite 'x-7' as '5(x-7)'. Setting up the equation 5(x - 7) + x = 157 and solving for x gives us 28.

The problem-solving strategy here is using a system of equations to solve a money problem. So Nate has 28 one-dollar bills and 21 five-dollar bills (28-7).

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Answer:

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Step-by-step explanation:

The question is as shown in the attached figure.

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = mx+b

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price = m/2

And total price for 'x' ounce = (mx/2 + b) dollars.

So, if Todd purchases the almonds in the bulk section, the total cost  will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Answer:

A: Spent = 12c + 7b  + 24

B: 93 dollars

Step-by-step explanation:

Cost = 12*c + 7*b + 24

If c = 4 and b = 3 then the total cost is

Cost = 12*4 + 7*3 + 24                            Substitute and combine factors

Cost = 48 + 21 + 24                                 Combine Terms

Cost = 93 dollars                                     Answer

Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.

The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.

So, the expression is 12c + 7b + 24.

Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:

Adding these amounts together gives us: $48 + $21 + $24 = $93.

Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.