Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8

Answers

Answer 1

Answer:

3/10

Step-by-step explanation:

Taking the decimal values (upto the thousandths place)

1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375

Clearly,

0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest
Answer 2

3/10 is the smallest number among the given options.

Given that are numbers we need to check which is the smallest from this,

To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.

The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).

Now, let's convert each fraction to have a denominator of 120:

1/3 = 40/120

3/10 = 36/120

2/5 = 48/120

3/8 = 45/120

Comparing the numerators, we can see that 36/120 (3/10) is the smallest.

Therefore, 3/10 is the smallest number among the given options.

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Related Questions

Amy, Bob, and Carl were using flour from a 7 cup container. Amy used 0.15 of the total container , Bob used 30% of the total container, and Carl used .5 cups of the container. Determine the amount that each person uses and list them from least to greatest.

Answers

Answer:

Amy, Carl, bob

Step-by-step explanation:

Amy = 7 - 0.15 = 6.45

Bob = 7 - 0.30 = 6.70

Carl = 7 - 0.5 = 6.5

Order from least to greatest is:

Amy (6.45)

Carl (6.5)

Bob (6.7)

Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.

Answers

3.36/3= 1.12

Cost per unit = cost /units

What is the graph of 3x + 5y = -15?
5
5
4
4
3
3
3
2
2
2
1
1
1
1 2 3
b
1 2 3 4 5
4-3-2-11
1 2 3 4 5 x
54-3-2-1
2+
34
1-3-2-1
2
م ح لي د کا
2
-3
5
5
5
o
O
5
4
3

Answers

Answer:

Can you put the picture up so we can see the graph?

Reflect the given triangle over
the y-axis.
3 6 31
-3 3 3.
{
ER
-3 -6
-3 [?] [

Answers

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

applying this rule to the given points , then we obtain

[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]

A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
44 cm
70 cm
34 cm
17 cm

Answers

Answer:

34 cm

Step-by-step explanation:

Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.

Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.

⇒ Perimeter of rectangle = L + S + L + S

⇒ Perimeter of rectangle = 2(L) + 2(S)

⇒ Perimeter of rectangle = 2(L + S)

Now, let's substitute the length and the width in the perimeter and simplify.

⇒ Perimeter of rectangle = 2(10 + 7)                                                [L = 10; S = 7]

⇒ Perimeter of rectangle = 2(17)

Perimeter of rectangle = 34 cm

Answer: 70 cm

Step-by-step explanation: 10 x 7 = 70

hope this helps

Can someone pls help me with this.

Joe and Charmaine walk around a track.Joe walks each lap in 12 minutes. Charmaine walks each lap in 8 minutes.The two of them begin at the starting line at the same time. They walk until they meet again.

How much time does it take for them to meet again at the starting line?

How many laps does Joe complete

How many laps does Charmaine complete?

Answers

Answer:

[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] Joe will complete 2 laps

[C]  Charmaine will complete 3 laps.

Step-by-step explanation:

Factor two numbers 12 and 8:

12 = 2×2×3

8 = 2×2×2

Find LCM of 12 and 8:

Lcm of 12 and 8 - 2×2×3×2 = 24

Therefore,

[A] How much time does it take for them to meet again at the starting line?

It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] How many laps does Joe complete

Joe will complete 2 laps

[C] How many laps does Charmaine complete?

Charmaine will complete 3 laps.

~lenvy~

A game last 5/8 hours. Jessica played 4 of these games. for how long did she play in total? write your answers in the simplest form​

Answers

Answer:

5/2 or 2 1/2

Step-by-step explanation:

4 x 5/8 = 20/8

20/8 = 10/4 = 5/2 = 2 1/2

solve the following pair of equations by elimination method: x+y=4, 2x+y=3​

Answers

Answer:

x = 1

y = 5

Step-by-step explanation:

x + y = 4 __ (1)

2x + y = 3 __ (2)

equation (1) x 2, (2) x 1

2x + 2y = 8

2x + y = 3

0  + y = 5

y= 5 (ANS)

x + y = 4

x + 5 = 4

x = 5 - 4

x = 1 (ANS)

I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.

Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).

Answers

Point-Slope Form

Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the line

To write an equation in point-slope form:

Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]

Solving the Question

We're given:

The line passes through the points (f,g) and (h,j)

Solve for the slope (m):

[tex]y-y_1=m(x-x_1)[/tex]

⇒ Plug in the point (f,g) as (x,y):

[tex]g-y_1=m(f-x_1)[/tex]

⇒ Plug in the point (h,j) as (x₁,y₁):

[tex]g-j=m(f-h)[/tex]

⇒ Isolate m by dividing both sides by (f-h):

[tex]\dfrac{g-j}{f-h}=m[/tex]

Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].

Plug the slope into the general equation:

[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]

Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Answer

There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

can someone help me with this pls?

Answers

Option D
Scale factor = 1/2.
So, each co ordinate should be divided by 2
( -2/2 , -5/2) = (-1,-2.5)
Then this is reflected over y-axis.
When reflected by y axis, there will be no change in y coordinate but sign of x will change. After reflection (-x, y)
A’(1,-2.5)

Common factor of 20,88,40

Answers

common factors: 1, 2, 4

GCF: 4

a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?

PLEASE ANSWER THIS. I have an assignment due soon :((

Answers

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

= -29 + 19(14) = -29 + 266 = $237

Solve for X
5х – 1 = 6x — 9

Answers

Answer:

5x-1=6x-9

5x-1-6x= -9

5x-6x= -9+1

-x= -8

(-1)*(-x)= (-1)*(-8)

x=8

Find the area of the shaded region.

Answers

Answer:

3316

Step-by-step explanation:

Hope it will help you

what is 6 dived by 20?

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

6 divided by 20 is 0.3

(your welcome)

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Difference between any two crests |-3-3||-6|6

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

Simplify the expression. Write your answer as a power.
The simplified expression is

Answers

Because the 10+4= 14
therefore
8^14

Which of the equations below is a line parallel to the line y = 5x - 2?

Answers

Answer:

An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.

Step-by-step explanation:

write the equation of line through (3,6) and (-4,-1)

Answers

Answer:

y=x+3

Step-by-step explanation:

The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= 3, y1= 6, x2= - 4, y2= - 1

so m = 1

Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).

b=6-(1)(3)

b=3

Finally, the equation of the line can be written in the form

y = mx+b

y=x+3

Use the Pythagorean Theorem to find which one of the
following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm

Answers

Hello There!!

Given:-

Altitude (AB) = 9cm

Base (BC) = 12cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Hope This Helps


What is the equation of the line that passes through the point (-6, -3) and has a
slope of 0

Answers

Answer:

Answer: the equation of the line is y=−3.

Step-by-step explanation:

Since the slope equals 0, then the line is horizontal.

This means that the equation of the line doesn't contain x.

Thus, the equation of the line is y=−3.

James found a pair of shoes he wanted at two different stores. At store A they were $35 and he had a 20% off coupon. At store B they were $40 and he had a 30% off coupon. Both stores had 7% sales tax. Which would be the better deal, and by how much?

Answers

Answer: you gotta add

35+20 and that =55

55+30 and that =85

85+40 and that =125 the next step is

125+7 =132

Step-by-step explanation: hope this helps:)

Mr. Walters asked his students to order 89, 708, 37, and 93 from least to greatest, and to be ready to explain the process they used to order the numbers.One student, Brianna, ordered the numbers correctly, and when Mr. Walters asked her to explain her process, she said, “The numbers 89, 37, and 93 are less than 100, so they are all less than 708, since that is greater than 100. Also, 37 is the least because it comes before 50 and the other two numbers are close to 100. Then 89 is less than 90, but 93 is greater than 90.”Which of the following best describes the strategy on which Brianna’s explanation is based?

Answers

Option B is correct.


Brianna first indicates that 708 is the greatest number because it is greater than 100, while 37, 89, and 93 are all less than 100.

Next, Brianna indicates that 37 is the least number because it is less than 50, while 89 and 93 are greater than 50. Finally, Brianna recognizes that 89 is less than 93 because 89 is less than 90, while 93 is greater than 90.

Thus, over the course of her explanation, Brianna used 100, then 50, and then 90 as points of reference for comparisons, which is exactly what benchmark numbers are points of reference for comparison.

Brianna did not count between any of the numbers, estimate the numbers, or use the place values in any of the numbers to make her comparisons, so the other options do not describe the strategy on which Brianna's explanation is based. :)

please help :) brainliest for helpful answers!
tree is casting a 35 ft shadow when the sun is at a 56° angle of elevation. How tall is the tree?

Answers

Using SohCahToa, you’ll find you have the opposite and adjacent, ao, so you’ll use tangent. Opp/adj is x/35 in this situation. You’ll take tan56 • 35 which is 51.9. That should be your answer.

Placing a down payment on a home is a common practice among homebuyers and, in many cases, is required by the lender for eligibility reasons. As the Payans’ real estate agent suggested in part C, it’s also important to help keep the mortgage payment low and within the homebuyer’s monthly budget to avoid the risk of default. Write two to three sentences summarizing what might happen if the Payans were to default on their monthly mortgage payments.

Answers

Answer:

If the Payans were to default, their credit score could be lowered. The Payans could also lose their house. With both of those things on their record, it would make it harder for the Payans to qualify for another loan.

Hope this helps!

Select one: A. 31.7 percent complete. B. 32.5 percent complete. C. 25.0 percent complete. D. 15.0 percent complete.

Answers

Can you please provide the question that goes with the answers? There can be no answer if there isn't a question

Given the tunction
f(x)= - x^2 + 4x - 3 ,find the rate of chango over the interval [-2,7] (you can take the negative leading coefficlent off for reg ed if you want) *

Answers

Answer:

-1

Step-by-step explanation:

Given function:  [tex]f(x)=-x^2+4x-3[/tex]

[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]

[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]

[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]

Therefore, average rate of change over the interval -2 ≤ x ≤ 7

[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]

A basket contains 40 mangoes out of which 8 are rotten. Find the percentage of the mangoes that are in good condition

Answers

So if 8 are rotten then that means 32 are good.
So 32/40 are good
32/40 as a percentage is 80%

There are 80% of mangoes which are good condition.

What is percentage?

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

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A window has the shape of a rectangle with a semicircle at the top.

Find the approximate area of the window using the dimensions shown.

Answers

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Josh wants to spend less than $80 to buy
4 shirts and a pair of pants. The pants cost $24.
The shirts he wants all cost the same.
2. Which inequality can be used to find how
much Josh will spend on each shirt?
A. 4s + 24 > 80
B. 4s + 24 < 80
C. 4s + 24 = 80
D. 4s + 24 = 80

Answers

Answer:

B

Step-by-step explanation:

b because everything must cost less than 80 and

< 80 means the unknown number will be less than 80.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

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