18. What is the least common denominator of the following
fractions? 3/10 and 1/4

Answers

Answer 1

Answer:

20

The denominators of 3 /10  and  1 /4  are 10  and  4.

The factors of  10  are  2 × 5  and  2 × 2

Therfore the LCD should have two 2's and one 5.

This means the answer is:

2 × 2 × 5 = 20

I hope this helps :)


Related Questions

Hi, please help me with this question.

what is 45+46+47+ ... +53+54?

Please don't just take points (this is a repost since someone did that)

Answers

Answer:

52 i think

Step-by-step explanation:

The question doesn't really say what to do, i say 52 because of the pattern

The required sum of the arithmetic progression is 441.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9

The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441

Thus, the required sum of the arithmetic progression is 441.

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7+4c=7c+6
-----------------

Answers

Answer:

Solution given:

7+4c=7c+6

subtracting both side by 4c

7+4c-4c=7c-4c+6

solve like terms

7=3c+6

subtracting both side by 6

7-6=3c+6-6

3c=1

c=1/3

Answer:

c = -1/3

Step-by-step explanation:

7 + 4c = 7c + 6

7 - 8 + 4c = 7c

-1 + 4c = 7c

-1 = 7c - 4c

-1 = 3c

-1/3 = c

11. Write y = 2x² +12x+14 in vertex form.

Please show work if possible so I know how to do it

Answers

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

How to evaluate a2 + b - c2

Answers

a2 + b + 1c2 i think

8. If angle CBD = angle DBE find m angle A

Answers

Answer:

m∠A = 65°

Step-by-step explanation:

Because ∠CBD is congruent to ∠DBE, we can set the degree values equal to each other.

So

CBD has x + 10, DBE has 60. So:

x + 10 = 60

Subtract 10 from both sides.

x = 50

Check:

50 + 10 = 60

60 = 60

m∠A = (x + 5)° = (60 + 5)° = 65°

The measure of m<A if angle CBD = angle DBE is 55°

The point where two lines meet is known as an angle.

We are given the following from the diagram:

m<CBD = x +10

m<DBE = 60degrees

Since  angle CBD = angle DBE, then:

x + 10 = 60

x = 60 - 10

x = 50degrees

Get the angle A.

From the diagram, angle A = (x+5)°

m<A = 50 + 5

m<A = 55°

Hence the measure of m<A is 55°

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what’s the value of n?

Answers

Answer:

n=1

Step-by-step explanation:

(√5^5)^5 =5^n

5^1/5×5=5^n

1/5×5=n

5/5=n

n=1

a+b in terms of a and evaluated these expressions when a = 3​

Answers

Answer:

a+b=a

or, 3+b=3 (a=3)

or, b= 3-3

or, b=0

2out of 5 people own a bike if there are 2500 people in the neighborhood about how many people own a bike

Answers

Find the decimal for 2 out of 5 by dividing 2 by 5:

2 out of 5 = 2/5 = 0.40

Multiply total people by 0.40:

2500 x 0.40 = 1,000

Answer: 1,000

Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169
What is Sofia's batting average?

Answers

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Hope this helps <3

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If Gabby wants to buy a t-shirt for $35.99 but she has a discount for 10% off, how much is her final cost?

Answers

Answer:

It's $32.39.

Step-by-step explanation:

35.99 - 35.99*10% =

=35.99 - 35.99*0.1

=35.99 - 3.599

=32.391

32.391 is close to 32.39 so we will round it to that number.

The answer is $32.39.

the answer would come out to be $32.39 as her final cost

8.76 11.9 11.73 15.9 in order please help me

Answers

Answer:

Least to greatest: 8.76,11.73,11.9,15.9

Greatest to least: 15.9,11.9,11.73,8.76

Step-by-step explanation:

plz give me brainliest

Answer:

Step-by-step explanation:

Use the number on the left of the decimal first. Smallest to largest gives

8

11

11

15

8 and 15 have their positions fixed. Where they are now, that is where they will stay.

So let's mark them

8.76

11

11

15,8

Now all we need do is figure out the 11s.

11.90

11.73

I added the 0 so you could think about money. You see a great looking scarf. Which would you rather pay: 11.73 or 11.90.  Never mind that you really like it and the difference isn't worth squabbling about. Which is better to pay? You should answer 11.73. It's smaller than 11.90. So what's the answer

8.76

11.73

11.90

15.9

f(x)= 2/3x +3; Find when f(x)=-5​

Answers

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 45 miles per hour. The westbound train travels at a rate of 55 miles per hour. How long will it take for the two trains to be 280 miles apart

Answers

Answer: 2.8 hours

Step-by-step explanation:

Train A: time= t, v=45mi/hr, d= d

Train B: time t, v= 55mi/hr, d=280-d

Distance = v times t (d=vt)

t = d/v (time for both trains is the same, so t=t)

Train A: t=d/45

Train B: t=(280-d)/55

d/45 = (280-d)/55 (cross multiplication)

55d = 15400-45d

55d+45d = 15400

100d = 15400

d = 154 miles (280miles - 154miles = 126 miles)

Train A travel 154 mi and train B travel 126 mi

Train A travel 154 miles in 2.8 hrs.

Train B travel 126 miles in 2.8 hrs.

154 miles at a rate of 55mi/h = 2.8 hours and

126 miles at a rate of 45mi/h = 2.8 hr.

Can someone please solve this?

Answers

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Evaluate the expression when y = -2

- 8y2​

Answers

I believe this is the expression:

[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]

Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.

[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]

Any negative number squared will result in positive, refer below:

[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]

Hence,

[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]

Answer:

-32

Step-by-step explanation:

Replace the variable y with -2 in the expression giving -8(-2)^2

Then, square -2 giving us (positive) 4

Lastly, multiply -8 with 4 and get -32 as our answer

(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)

 

Can someone please help me use a protractor on this question since I don’t have one?

Answers

Answer:

If you don't have a protractor handy, you can determine the size of an angle using the basic geometric principles of triangles. You'll need a scientific calculator to solve the equations. Most smartphones are equipped with them, but you can also download a free app or access a free calculator online.

The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6.
What is the numerical expression for the phrase?

Answers

Answer: (1/4 + 1/8) x (2/3-5/6)

Step-by-step explanation:

The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6

Solve for b.

2(b − 8) + –11 = 3

b =

Answers

Answer:

b = 15

Step-by-step explanation:

2 (b - 8) + -11 = 3

2b - 16 + -11 = 3

2b - 16 + -11 = 3

2b - 27 = 3

2b = 3 + 27

2b = 30

b = 30 ÷ 2

b = 15

Answer:

[tex] = > 2(b - 8) + - 11 = 3[/tex]

[tex] = > 2b - 16 + - 11 = 3[/tex]

[tex] = > 2b - 27= 3[/tex]

[tex] = > 2b = 27 + 3[/tex]

[tex] = > 2b = 30[/tex]

[tex] = > b = \frac{30}{2} [/tex]

[tex]=>b=15[/tex]

Solve for x: two thirds(x − 2) = 4x

Answers

Answer:

-2/5 =x

Step-by-step explanation:

2/3 ( x-2) = 4x

Multiply each side by 3/2

3/2 * 2/3 (x-2) = 3/2 *4x

x-2 = 6x

Subtract x from each side

x-2-x = 6x-x

-2 = 5x

Divide each side by 5

-2/5 = 5x/5

-2/5 =x

x=−  2/5=−0.4 is the answer please mark brainliest

please help meh its midpoint

Answers

Step-by-step explanation:

[tex]mid \: point \: of \: x = \frac{x1 + x2}{2} \\ x = \frac{8 + - 12}{2} \\ = \frac{ - 4}{2} = - 2 \\ mid \: pont \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{ - 5 + - 1}{2} \\ = \frac{ - 6}{2} \\ = - 3 \\ the \: coordinates =( xy) = ( - 2 \: - 3) \\ thank \: you[/tex]

can someone answer this please

Answers

Answer:

DE = 1/2 AC -> AC = 4

EF = 1/2 AB -> AB = 6

DF = 1/2 BC -> BC = 8

Step-by-step explanation:

hope it help u

ATTENDING TO PRECISION The diagram shows an insect called a walking stick Use the ruler to estimate the length of the abdomen and the length of the thorax to the nearest inch. How much longer is the walking stick's abdomen than its thorax? How many times longer is its abdomen than its thorax?​

Answers

Estimation and precision are used when the actual value cannot be easily determined or calculated.

The length of the abdomen is [tex]2\frac 14[/tex] inchesThe length of the thorax is [tex]1\frac 34[/tex] inchesThe abdomen is longer than the thorax [tex]1\frac 27[/tex] times

Given that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations

The length of the abdomen starts at the 0 mark and ends after the 2-mark. The length ends before [tex]2\frac{1}{2}[/tex]. So, the length of the abdomen can be estimated to [tex]2\frac{1}{4}[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].Similarly, the length of the thorax starts at the [tex]2\frac{1}{4}[/tex] mark and ends before [tex]4\frac{1}{4}[/tex]. The end of the thorax length can be estimated to: [tex]4[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].

So, we have:

[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen

[tex]L_2 = 4 - 2\frac 14[/tex]

Express as improper fraction

[tex]L_2 = 4 - \frac{9}{4}[/tex]

Take LCM

[tex]L_2 = \frac{16 - 9}{4}[/tex]

[tex]L_2 = \frac{7}{4}[/tex]

Express as proper fraction

[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax

The number of times (n) the abdomen is longer than the thorax is calculated as follows:

[tex]n = L_1 \div L_2[/tex]

So, we have:

[tex]n = 2\frac 14 \div 1\frac 34[/tex]

Express as improper fractions

[tex]n = \frac 94 \div \frac 74[/tex]

Rewrite as:

[tex]n = \frac 94 \times \frac 47[/tex]

[tex]n = \frac 97[/tex]

Express as proper fractions

[tex]n = 1\frac 27[/tex]

Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax

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If a tortoise is time traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles ?

Answers

Answer:

18

Step-by-step explanation:

6 ÷ 1⁄3 = 18

Send help, soy muy muy mala con fracciones mixtas

Answers

Answer:

pleas mark me has branlist

This is midpoint please help.

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

(1, 13)

Step-by-step explanation:

it is above in the photo.

liza deposits money at 4.5% intrest with twice as much deposited at 5%. find the amount deposited at each rate if total annual interest is 2320

Answers

Answer:

57

Step-by-step explanation:

4.5 × 2 = 8.10

8.10 x 5 = 40.50

2320 ÷ 40.50

The straight line ax+by=1passes through the points (1,4)and (3,1).Find the values of a and b?

Answers

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

a(1) + b(4) = 1

a + 4b = 1

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

b = 1-3(3/11)

b= 2/11

The value of a and b are 3/11 and 2/11 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).

Thus, the equation of the straight line passing through the point ( 3,1 )

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

Thus, the equation of the straight line passing through the point(1,4)

a(1) + b(4) = 1

a + 4b = 1

Now substitute the value of b;

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

Then b = 1-3(3/11)

b= 2/11

Hence, the value of a and b are 3/11 and 2/11 respectively.

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x3+y3+z3=k, what replaces k?

Answers

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you

Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?

Answers

Answer:

he watched 2movie in 1st year

This is a Arithmetic Series.
Sum = n/2[2a + (n - 1)d]
5/2(2a + 4 x -10) = 650
2a - 40 = 650 x 2/5 = 260
2a = 260 + 40 = 300
a = 150

He watched 150 movies in the first year.

The series is 150 + 140 + 130 + 120 + 110 = 650

The price of an item has been reduced by $2.18. The new sale price is $16.55. What was the original price?

Answers

Answer:

$18.73

Step-by-step explanation:

$16.55 + $2.18

(sorry if I'm wrong)

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