Is 7/2 the same thing as 3.5

Answers

Answer 1
Yes because 7/2 is 3.5. So you are correct.
Answer 2
yes
3.5 as a fraction is 7/2 but in mixed numbers it's 3 1/2

Related Questions

Polygon ABCD has the following vertices:

A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)

Calculate the area of the polygon.

Answers

To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5 

The answer is 38.5. I took this exam and I chose 38.5 and got it right, I hope this helps!



What is the value of x in the equation 8 + x = 3? −5 5 11 24

Answers

8 + x = 3
To solve for this, we need to get x by itself on one side of the equation.
Currently, we have 8 being added to x, so we need to perform the opposite order of equations to get rid of 8.

The opposite of +8 is -8, so subtract 8.
Remember, if you add, subract, multiply or divide by any new number, you must do it to both sides of the equation.

8 + x = 3
Subtract 8 from both sides.
8 - 8 = 0
3 - 8 = -5

We're now left with:
x = -5

Your answer is A.) -5.

I hope this helps!
the answer is -5. Have a good day

For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.

During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.

If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .

Answers

To answer we let x be the amount of money that Sam invested during the first year. 

Below are the expressions translated from the given word forms for the amount invested.

Sam:
2nd year :   amount = 5x/2 - 2000
3rd year  :   amount = x/5 + 1000

The sum of money invested by Sam is:
  x + (5x/2 - 2000) + (x/5 + 1000)

Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year  :    amount  = 3x/2 - 1000
2nd year :    amount = 2x - 1500
3rd year :     amount = x/4 + 1400

The total amount that Sally invested is, 
        total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)

Equating the two equations:
 (x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)

 Solving for x,
               x = 2000
For Sally's investment in the third year:
    amount = x/4 + 1400 = (2000/4 + 1400) = 1900

ANSWERS: 
  Sam's first year = $2000
  Sally's third year = $1900

WALK Heather was out for a leisurely walk at a rate of 3 miles per hour. What was her speed in yards per minute?

Answers

3 * 1760= 5280 yd.
5280/60= 88 yards per minute.
Hope this helps.

When the factors of a trinomial are (x - p) and (x - q) then the constant term of the trinomial is:

A. The quotient of -p and -q
B. The product of -p and -q
C. The difference of -p and -q
D. The sum of -p and -q

Answers

its the product of -p and -q

that is b.

The constant term will be the product of -p and -q.

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression.

Given that the factors of a trinomial are (x - p) and (x - q) we need to determine the constant term of the trinomial:

We know that a trinomial in its factors form can be written as,

x² + (α+β)x + αβ, where α and β are factors.

So, here the constant term of the trinomial will be (-p) × (-q) = pq.

Hence the constant term will be the product of -p and -q.

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3000000000 times 9000000000

Answers

A calculator can be used, provided it is "wide" enough -- the display can handle 10-digit numbers. The answer might be displayed in scientific notation, which is a great thing to learn about if you don't already know!

"Shortcut": the first number ends in 9 zeros; the second number ends in 9 zeros.  3 times 9 is 27. The answer will begin with 27 and end with 9 + 9 zeros.

27000000000000000000

27,000,000,000,000,000,000

Twenty-seven quintillion!
1800000000000000000000000000000

steps in how to solve

Answers

First, you replace x with -3. 
It will look like -3/3.
Then you divide and get -1.

The cost of producing key chain​s with the company logo printed on them consists of a onetime setup fee of $205.00 plus $0.70 for each key chain produced. This cost can be calculated using the formula C=205.00+0.70p, where p represents the number of key chains produced and C is the cost. Use the formula to calculate the cost of producing 1700 key chains

Answers

Simply add in the known information. To find the cost of 1700 key chains, substitute it for p in the equation, like this: C=205.00+0.70(1700) and solve.
C = 205 + 0.70p......when p = 1700

C = 205 + 0.70(1700)
C = 205 + 1190
C = 1395 <==

Which of the following points is a solution to the system of linear inequalities
Which of the following points is a solution to the system of linear inequalities?
{2x+y<-5
{-x+y>0
A.
(4, 1)
B.
(–4, –1)
C.
(–8, –21)
D.
(8, 11)

Answers

for it to be a solution, it has to satisfy both inequalities...

subbing in (-4,-1)

2x + y < -5                           -x + y > 0
2(-4) - 1 < - 5                      -(-4) - 1 > 0
-8 - 1 < -5                              4 - 1 > 0
-9 < -5.....true                        3 > 0....true

solution is (-4,-1)

Answer:

(-4,-1) satisfies the given system of inequalities

Step-by-step explanation:

[tex]2x+y<-5[/tex]

[tex]-x+y>0[/tex]

To find out the solution we check with each option

(4,1) , x=4 and y=1 (Plug in x and y values in the given inequalities)

[tex]2(4)+1<-5[/tex]

[tex]9<-5[/tex] False

(-4,-1) , x=-4 and y=-1 (Plug in x and y values in the given inequalities)

[tex]2(-4)-1<-5[/tex]

[tex]-9<-5[/tex] True

Now plug it in second inequality

[tex]-(-4)-1>0[/tex]

[tex]3>0[/tex] True

(-8,-21) , x=-8 and y=-21 (Plug in x and y values in the given inequalities)

[tex]2(-8)-21<-5[/tex]

[tex]-37<-5[/tex] True

Now plug it in second inequality

[tex]-(-8)-21>0[/tex]

[tex]-13>0[/tex] False

(8,11) , x=8 and y=-11(Plug in x and y values in the given inequalities)

[tex]2(8)+11<-5[/tex]

[tex]-9<-5[/tex] false

Lucia wants to buy some posters over the Internet. Each poster costs $6.67 and has a shipping cost of $9.99 per order. If Lucia wants to spend no more than $30 for her posters, which inequality shows the maximum number of posters, p, that she can buy?

Answers

I think it is 9.99+6.67p<=(less than or equal to)30 so, p<=3
Hope that helps!
6.67p+9.99≤30

....

subtract 9.99 from both sides

6.67p≤20.01  divide both sides by 6.67

p≤3

So the maximum number of posters that she can buy is 3.

If there are 11 apples and I eat one and split half of the rest with my friend. How many do i have?

Answers

The answer to this my friend is 5. If you ate one that means there are 10 left. Then if you split 10 in half that equals 5. hope this helps!
It's 5... cuz 10/2 equal 5

two triangles.are.similar, solve for x if au=20x +108, ub=273, bc= 703, uv=444, AV = 372 and AC=589

Answers

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

x = 18          (ANSWER)

The correct value of x is [tex]\(\frac{1}{20}\)[/tex].

To solve for x, we need to use the properties of similar triangles. The sides of similar triangles are proportional. Given that triangles AU V and ABC are similar, we can set up the following proportion:

[tex]\[\frac{AU}{AB} = \frac{UV}{BC} = \frac{AV}{AC}\][/tex]

We are given the lengths of the sides as follows:

- (AU = 20x + 108)

- (UB = 273) (which is part of AB, since (AB = AU + UB)

- (BC = 703)

- (UV = 444)

- (AV = 372)

- (AC = 589)

Using the proportion involving the sides AU, UB, UV, and BC, we have:

[tex]\[\frac{AU}{UB} = \frac{UV}{BC}\][/tex]

Substituting the given values, we get:

[tex]\[\frac{20x + 108}{273} = \frac{444}{703}\][/tex]

Cross-multiplying to solve for x, we have:

[tex]\[(20x + 108) \cdot 703 = 444 \cdot 273\][/tex]

Expanding both sides gives us:

[tex]\[14060x + 76184 = 121172\][/tex]

Subtract (76184) from both sides to isolate the term with x:

[tex]\[14060x = 121172 - 76184\] \[14060x = 49888\][/tex]

[tex]\[x = \frac{49888}{14060}\][/tex]

Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20, we get:

[tex]\[x = \frac{2494.4}{703}\][/tex]

Since (2494.4) is very close to (2496), and \(2496\) divided by (703) is (3.55), which is (20) times (0.1775), we can see that:

[tex]\[x = \frac{1}{20}\][/tex]

Therefore, the value of x is [tex]\(\frac{1}{20}\)[/tex].

What are the factors of 60a

Answers

1,2,3,4,5,6,1012,15,20,30

Answer:

Factors of 60 are:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60

Write 2.95 as the quotient of two integers

Answers

2.95 = 295/100 then you can reduce the fraction to 59/20
It would be
--------------------------------------------------------
1. 118/40
~~~~~~~~~~~
2. 15/28

What is 3^ 2/3 equal to?

Answers

Final answer:

3^2/3 means squaring the number 3 to get 9, and then taking the cube root of 9, which is approximately 2.08008.

Explanation:

To calculate 3^2/3, we are dealing with an exponential expression where 3 is the base and 2/3 is the exponent. The exponent 2/3 means we must first square the base, which is 3, giving us 3 squared: 32 = 9. Next, we take the cube root (denominator of the fraction exponent) of this result since the exponent is 2/3, meaning the cube root of 9.

To find the cube root of 9, we look for a number which, when multiplied by itself three times, equals 9. Unfortunately, 9 is not a perfect cube, but using estimation or a calculator, we can find that the cube root of 9 is approximately 2.08008. Therefore, the exact expression for 32/3 remains (9)1/3 and the approximate decimal value is 2.08008.

3 times what gives me a sum of 24? im trying to finish my homework so please help.

Answers

It is not a sum, it is a product.

3 times x = 24   (write equation)
           3x = 24  (isolate x by dividing the coefficient, 3, on both sides)
           /3     /3
             x = 8    (this i your answer)

Therefore 3 times 8 gives you 24.
Hey there!

I believe instead of sum, it should be product. A product is a result of a multiplication problem, which is what we're doing when we do something "times" something else. 

You could solve this by simply dividing 24 by 3 to get 8. You could then check this by multiply 3 by 8 to get 24 again.

Hope this helped you out! :-)

Diana is going camping with her family. Their campsite is 5/8 mile away. They walk at a steady speed of 2 1/2 miles per hr. How many minutes will It take them to get to the campsite

Answers

Diana is going camping with her family. Their campsite is 5/8 mile away. They walk at a steady speed of 2 1/2 miles per hr. How many minutes will It take them to get to the campsite.


alright so we know it takes an hour for them to travel 2 1/2 miles...
60minutes=1hr
60minutes=2 1/2 miles

now if you convert that fraction to a denominator of 1/8...
2 1/2=5/2=10/4=20/8
so in 6o minutes they travel 20/8 miles...
and if you divide 20/8 by 4 you get...
20/8/4=5/8
and so if you divided one side of the equation (60minutes=20/8) you have to divide the other side so...
60/4=20/8/4
and once you divide both sides you will get the answer...
15 minutes=5/8miles
Answer: 15 minutes

the table represents a function. what is the value of f(-1)?
f (-1) = - 3
f (-1) = - 1
f (-1) = 0
f (-1) = 6

Answers

f(-1)....this is basically saying that x = -1...and when x = -1 (according to ur chart), then f(-1) = 0 <==

The value of f(-1) from the table given is 0

Table of functions

Table of functions are used to find the relationship between variables. The variables x and y can be written as coordinate (x, y)

In order to determine f(-1), we need the value of f(x) at the point where x is 1. From the table, the value of f(-1) is 0

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on every 3rd day Ivan goes to the gym. On every fifth day Gavin goes to the gym. What day will Ivan and Gavin will see each other.

Answers

they will see each other on the fifteenth day

Find the least common multiple. It would be 15, so on the 15th day.

The value of 7 in ___ is 10 times
The value of 7 in ____

Answers

the value of 7 in 1374 is ten times the value of 7 in 1347

a triangle brace has an angle measure of 92 degrees, with a side opposite this angle measuring 10 inches. the base of the triangular brace, which is adjacent to the given angle measure, is 12 inches in length. Which of the following statements is correct

Answers

Final answer:

To determine the length of the hypotenuse in a triangle with an angle measure of 92 degrees and a side length of 10 inches, we can use the sine ratio. Calculating the value of Sin(92 degrees) and dividing 10 by that value, we find that the hypotenuse is approximately 10.001525 inches.

Explanation:

A triangle brace with an angle measure of 92 degrees and a side length of 10 inches opposite this angle, and a base length of 12 inches adjacent to the given angle. To determine which of the given statements is correct, we need to use trigonometric ratios. We can use the sine ratio in this case.

The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. In this case, the angle measure is 92 degrees and the side opposite is 10 inches. Let's calculate:

Sin(92 degrees) = Opposite/Hypotenuse

Sin(92 degrees) = 10/Hypotenuse

To solve for the hypotenuse, we can rearrange the equation:

Hypotenuse = 10/Sin(92 degrees)

Using a calculator, we can evaluate Sin(92 degrees) and then divide 10 by that value to find the hypotenuse:

Hypotenuse = 10/0.9998477 = 10.001525 inches (approximately)

Based on this calculation, the correct statement would be that the hypotenuse is approximately 10.001525 inches.

I NEED HELP ASAP!!!!!!

Answers

4 +12 = 16 crates

 16 x 32 = 512 juice boxes

 so both A & C are correct

Which of these expressions is equal to 6 + (2 + 3) × 5

Answers

6 + (2+3) x 5
6 + (5) x 5
6 + 25
31

Order of operations: PEMDAS
Parenthesis
Exponents
Multiply Divide
Addition 
Subtraction
if one of the choices is 31 then thats your answer


What is the average speed (miles/hour) for an object going 1500 feet in 1 minute. Round answer to two decimal places.

Answers

there are 3600 seconds per hour

5280 feet per mile

1 foot per second = 3600/5280 = 0.681818 Miles per Hour

 60 seconds per minute

 so 1500/60 = 25 feet per second

25 x 0.681818 = 17.05 miles per hour


Look at the cups shown below (please note that images are not drawn to scale): A cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 inches How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tent

Answers

Amount of juice that cup B will hold than cup A when both are completely full is A: 18.8 cubic inches.  therefore, Option A: 18.8 cubic inches.

Amount of juice hold by Cup B which is in the shape of a cylinder having width 2 inches that is radius 1 inches and height 7 inches

πr^2h = π × 1^2 ×7 = 7π  cubic inches

Amount of juice hold by cup A which is in the shape of a cone having width 2 inches that is radius 1 inches and height 3 inches

1/3 × π × r^2 h

1/3 × π × 1^2 × 3  =  πcubic inches

Amount of juice that cup B will hold than cup A when both are completely full  = 7π - π = 6π cubic inches

= 6 × 3.14

= 18.84 cubic inches

Option A: 18.8 cubic inches

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Question

Look at the cups shown below (please note that images are not drawn to scale):

A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches.

How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.

18.8 cubic inches

21.9 cubic inches

25.1 cubic inches

32.6 cubic inches

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

Answers

The probability helps us to know the chances of an event occurring. The theoretical probability that they have three dogs or three cats is 0.25.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given that the pet can either be a dog or a cat, therefore,

The probability that all the three pets are dogs is:

[tex]\rm P(X= 3\ dogs) = \dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2} = \dfrac{1}{8}[/tex]

The probability that all the three pets are cats is:

[tex]\rm P(X= 3\ Cats) = \dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2} = \dfrac{1}{8}[/tex]

Now, we need to calculate the probability that all three pets are either dogs or cats, therefore, the probability can be written as,

[tex]\rm P(3\ Dogs\ or\ 3\ Cats) = P(X = 3\ dogs) + P(X = 3\ cats)[/tex]

                                [tex]= \dfrac{1}{8}+\dfrac{1}{8}\\\\=\dfrac{2}{8}\\\\ = \dfrac{1}{4} = 0.25[/tex]

Hence, the theoretical probability that they have three dogs or three cats is 0.25.

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Your class is holding elections to choose a leadership committee of 4 students. If there are 30 students in the class, how many different leadership committees would it be possible to elect?

810,000

27,405

120

657,720

Answers

Since order is not important we are only looking for unique combinations of 3, so we need to use the "n choose k" formula.

n!/(k!(n-k)!), n=number of elements to choose from, k is the number of choices made....in this case:

30!/(4!(30-4)!)

30!/(4!*26!)

27405


Using the combination formula, it is found that it would be possible to elect 27,405 different leadership committees.

The order in which the students are selected to the committee is not important, which means that the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 students are chosen from a set of 30, thus:

[tex]C_{30,4} = \frac{30!}{4!26!} = 27405[/tex]

It would be possible to elect 27,405 different leadership committees.

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ini earned $160 during the summer doing chores. She bought 3 dresses worth $12 each using her chore money. How much money was left after she bought the dresses?

Answers

$160 minus 3 dresses x $12 ($36) = $124 left after spending her chore money SO snswer is--- $124 --


A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents time in minutes and p represents how far the paint is spreading.

The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2.

Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points)

Part B: How large is the area of spilled paint after 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)


Answers

p(t)=6t

A(p)=πp^2, since p(t)=6t

A(t)=π(p(t))^2

A(t)=π(6t)^2

A(t)=36πt^2, so when t=8 and approximating π≈3.14

A(8)≈36(3.14)(8^2)

A(8)≈36(3.14)64

A(8)≈7234.56 u^2

Answer:

r(t) = 3t ; where t represents the time in minutes and r represents how far the paint is spreading.

A(r) = πr²

Part A:  

A[r(t)] = π (3t)² = 3.14 * 9t² = 28.26t²

Part B:

r(10) = 3(10) = 30

A(r) = 3.14 * 30² = 3.14 * 900 = 2,826 square unit

Step-by-step explanation:

o graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
a.-5/2
b.-2/5
c.2/5
d.5/2

Answers

2x + 5y = 10
Change to y = mx + b
subtract 2x from both sides
5y = -2x + 10
divide both sides by 5
y = -2/5x + 2
slope = -2/5
LETTER B

we have

[tex] 2x + 5y = 10 [/tex]

we know that

the formula to calculate the slope is equal to

[tex] m=\frac{(y2-y1)}{(x2-x1)} [/tex]

Let

[tex] A( 5,0)\\B( 0,2) [/tex]

Step [tex] 1 [/tex]

Find the slope AB

[tex] mAB=\frac{(2-0)}{(0-5)} \\ \\ mAB=-\frac{2}{5} [/tex]

therefore

the answer is the option B

[tex] -\frac{2}{5} [/tex]

the graph in the attached figure

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