write each ratio as a fraction in the lowest terms
[tex] 4\times \frac{3}{8} [/tex]
to
[tex]12 \times \frac{1}{2} [/tex]

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

[tex](4\times \frac{3}{8} ) : (12\times \frac{1}{2} )\\\\\frac{4\times \frac{3}{8}}{12\times \frac{1}{2}}\\\\\mathrm{Multiply\:}12\times \frac{1}{2}\::\quad 6\\=\frac{4\times \frac{3}{8}}{6}\\\\\mathrm{Multiply\:}4\times \frac{3}{8}\::\quad \frac{3}{2}\\=\frac{\frac{3}{2}}{6}\\\\=\frac{3}{2\times \:6}\\\\=\frac{3}{12}\\\\=\frac{1}{4}[/tex]

Answer 2

Answer:

I believe it is 1/4

Step-by-step explanation:


Related Questions

How are the expressions 8 - 15 and 8 +(15) alike? How are they different?

Answers

Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.

They are different because one expression is subtract both numbers while one expression is adding both numbers.

8 - 15 = -7

8 + 15 = 23

Best of Luck!

Simplify 7(x + 3). 7x + 3 7x + 10 7x + 21 x + 21

Answers

The answer is 7x+21
Explanation: you have to distribute 7into c and three. So you would multiply 7 by x (or 1x) and 7 times 1 is 7 so it would be 7x and then you would multiply 7 times 3 which is 21 and there are no like terms with 7x and 21 so it’s just 7x+21

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

I need help finding the answer for this question, What is 5x+10=30

Answers

the answer for this question is 4

Answer:

x = 4

Step-by-step explanation:

Well, move the 10 over to the 30.  The 10 is positive, so you subtract.

5x = 20

Now Divide!

5x/5 = 1x or x

20/5 = 4

So,

x = 4

Does it make sense to represent the number 15.3 using scientific notation yes or no?

Answers

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Please help I’m not getting the right answer

Answers

Answer:

its c

Step-by-step explanation:

x²-x-2(area)
x + 1(base)
The triangle above has an area of x2-x-2 and a
base of x + 1. What is the height of the triangle?​

Answers

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )

15-10 *
Adding and subtracting intergers

Answers

5? i mean you just subtract the numbers right

solve 3(2d-1)-2d=4(d-2)+5​

Answers

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

what sequence of transformations on the red triangle will map it onto the missing portion of the square

Answers

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

some one pls help ASAP I’m begging. (Please show work, just number 7.)

Answers

Isolate the variable with algebraic manipulation.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]3V=\pi r^2h[/tex]

[tex]\frac{3V}{\pi r^2}=h[/tex]

Hope this helps.

頑張って!

If a Ferrari, with an initial velocity of 10 m/s, accelerates to a rate of 160 m/s/s for 3 seconds,
what is its acceleration?

Answers

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.

Please help I've been stuck on this for a while ​

Answers

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

z/3+y=5/3  first equation

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y=-11/3  second equationz/3+y=5/3  first equationeliminate y

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

z=-1x=(13-2z)/3 ( find x, bu substitute z=-1)

x=(13+2)/3

x=15/3 ⇒ x=5x+y+z=6

5+y-1=6

y=6+1-5

y=2

13x + 4 + 10x - 1 = 141​

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

13x + 10x + 3 = 141

23x + 3 = 141

23x = 138

x = 6

Compare [tex]2^{\frac{1}{2} }[/tex] and [tex]3^{\frac{1}{3} }[/tex]

Answers

2 1/2 plus 1 is 3 1/2. 3 1/2 is one number ahead.

Greetings from Brasil...

Before comparing mixed fractions, let's make them inappropriate

2 1/2 = 5/2

3 1/3 = 10/3

Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)

2 1/2 = 5/2 = 15/6

3 1/3 = 10/3 = 30/6

30/6 > 15/6  then

3 1/3 > 2 1/2

Factorise :
[tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]
Show workings too!​

Answers

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

solve the equation for x​

Answers

Answer

x = 15

Step-by-step explanation:

[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]

Distribute 15 through the parentheses

[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]

Multiply the numbers : 40 and 6

[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]

Subtract 15 from 240

[tex] \dashrightarrow \: \sf{15x = 225}[/tex]

Divide both sides by 15

[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 15}}[/tex]

Hope I helped!

Best regards! :D

estimate the value of √13. round to the hundredths.

Answers

[tex]\sqrt{13}[/tex] = 3.60555127546

rounded to the nearest hundredth:

3.61

Cual es la de Raiz de 2000

Answers

2000 | 2

1000 | 2

500 | 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2000 = √2².√2².√5².√5

√2000 = 2.2.5√5

√2000 = 20√5

(aproximadamente 44.72135955)

Solve the equation for the specified variable.
S = BC-9, for B
B =
Algebra 1 btw

Answers

S+9/C=B first u cancel the 9 out by adding 9 to both sides, then u divide both sides by C so the C in BC gets cancelled out, leaving u with B

Move theses numbers (0.1, 8/7, -1, 2/3, 0.05 )to the blanks to order them from least to greatest value. ​

Answers

Answer:

-1,  0.05,  0.1,  2/3,  8/7

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First turn every number into a decimal that can be turned into a decimal:

  ✧ 0.1

  ✧ 1.14 (8/7)

  ✧  -1 (Can't be turned into a decimal)

  ✧ 0.66 (2/3)

  ✧ 0.05

✦ Now just order them from Least to Greatest:

  ✧ -1, 0.05, 0.1, 0.66, 1.14

~Hope this helps Mate. If you need anything feel free to message me.

JL = 28,
KL= 5x + 6, and
JK = 3x + 6,

Answers

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

Q8
The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Answers

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]

A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle

Answers

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ

Answers

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Can someone please answer this ? * will mark as brainiest *

Answers

Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
O A 6.0%
e.
B. 10.4%
O C. 16.7%
e
D. 23.3%

Answers

Answer:

[tex]Probability = 23.3\%[/tex]

Step-by-step explanation:

Given

Number cube

Toss = 8

Required

Probability of not landing on 3

First we need to get the probability of landing on 3 in a single toss;

For a number cube;

[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]

So; the probability is

[tex]P(3) = \frac{1}{6}[/tex]

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So:

[tex]P(3) + P(3') = 1[/tex]

Make P(3') the subject of formula:

[tex]P(3') = 1 - P(3)[/tex]

[tex]P(3') = 1 - \frac{1}{6}[/tex]

[tex]P(3') = \frac{5}{6}[/tex]

In 8 toss, the required probability is

[tex]Probability = (P(3'))^8[/tex]

This gives

[tex]Probability = (\frac{5}{6})^8[/tex]

[tex]Probability = \frac{390625}{1679616}[/tex]

[tex]Probability = 0.23256803936[/tex]

Convert to percentage

[tex]Probability = 23.256803936\%[/tex]

Approximate to 1 decimal place:

[tex]Probability = 23.3\%[/tex]

Which numbers are​ rational? The​ dots, . . . ​, indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.90990999 . . . Which numbers are​ rational?

Answers

II. 9.234 it ends rather than continuous numbers

Can someone help me please?

Answers

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

Pleease help me please im giving good points i thin

Answers

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

0.00035
Write each number in scientific notation.​

Answers

Step-by-step explanation:

For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).

Answer:

0.00035 = 3.5 × 10 to the -4

Hope it helps :)

Other Questions
Which of the following is an example of an adaptation? A story presented as a play B movie review C story presented in its original form D literary analysis If your car can drive 433 miles on a full tank of gas, find the miles per gallon if your gas tank holds 17.2 gallons? How much does it cost to fill your tank if gas is $2.85 per gallon? Which roles do franchisees play in case of a product distribution franchise? Which of the following can increase a nation's production possibilities?All of the above.New resource suppliesIncrease in productivityNew technology What was a difficulty England had in managing the colonies? Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| = do water molecules tend to push away from each other As the adrenal gland releases glucocorticoids, which of the following effects may be observed? a) Increased blood levels of amino acidsb) Decreased blood pressure and volumec) Decrease in immune system functiond) Lipid breakdown in the liver will increasee) Increased water absorption in the kidneyf) Increased blood glucose levels How did the widespread introduction of gunpowder change warfare Which phrase best describes f(x), graphed on the coordinate plane below? Camilla has twice as many blueberry jelly beans as cherry jelly beans. After eating 10 pieces of each kind, she now haas three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have? F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4) if the statement is a rewrite as a conditional statement in if-then form, which best describes the conclusion? A student who earns 85% earns a B Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L. Which statements are true based on the diagram? Select three options. Points N and K are on plane A and plane S. Points P and M are on plane B and plane S. Point P is the intersection of line n and line g. Points M, P, and Q are noncollinear. Line d intersects plane A at point N. Whats the difference between high-use academic words and key terms? why do historians claim that the reformation began with Luther's ninety five theses? how do groups and periods on the periodic table differ?? Evaluate this exponential expression.4. (2 + 5)2 - 52 = Find adjective phrase from 1.The cakes on the plate are fresh from the oven.*Your answer2. The shop near my house has a big sale.*3.The motorcycle near the tree is mine.*4.The young man in the grey suit is my brother.*The apples in the basket are rotten.* Why were interactions between the Plymouth colonist and Squanto significant