Compare the ratios 3:8 and 1/2.


1. Write ratios as fractions.


3/8 and 1/2


2. Find a common denominator.


2 is a factor of 8, so the common

denominator is 8.


Which comparison correctly compares the ratios 3:8 and 1/2?

14/50 to its simplest form is 7/25

Answer:

[tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Find the common factor for both the numerator and the denominator, which is 2:

[tex]\frac{14}{50} =\frac{7}{25}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

17/20

Step-by-step explanation:

Answer:  y= -2x/3 -3

Step-by-step explanation:

Substitute the x and y values from the given coordinate into the slope-intercept formula and solve for b

y = mx + b

-1 = -2/3(-3) + b

-1 = 2 + b

-1 -2 = b

-3 = b   The y-intercept is -3

the equation: y = -2x/3 - 3

Answer:

if you solve it for the t your answer would be: pt+30pte−0.2t=600

but if you solved it for the p your answer would be: p=600t(1+30e−0.2t)

hope it works, sweete

Answer:

150=15w

Step-by-step explanation:

w=weeks

150/15=10 weeks

Answer:

247,000

Step-by-step explanation: Because the 7 rounds off the 0 and its a 0 so the 7 stays the same

Answer:b

Step-by-step explanation:

Answer:

$17.67

Step-by-step explanation:

Answer:

The  value is  [tex]x =  74.416 \ in[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu  =   70.3\  in[/tex]

     The standard deviation is  [tex]\sigma  =  2.1\  in[/tex]

Generally the probability of  getting people with height  in the top 2.5% is mathematically represented as

  [tex]P(X >  x ) =  P(\frac{X - \mu }{\sigma}  > \frac{x - 70.3 }{2.1 }  ) = 0.025[/tex]

Generally    

         [tex]\frac{X - \mu }{\sigma}  =  Z (The  \  standardized \  value \  of X )[/tex]

=>    [tex]P(X >  x ) =  P(Z > \frac{x - 70.3 }{2.1 }  ) = 0.025[/tex]

Generally the critical  value of  0.025 from the normal distribution table is  

      [tex]Z_{0.025} =  1.96[/tex]

So

      [tex]\frac{x - 70.3 }{2.1 }   =  1.96[/tex]

=>   [tex]x =  74.416 \ in[/tex]

The cut-off height will be "74.416 in".

This same probability of an occurrence occurring is defined by probability. There are several real-life scenarios in something we should forecast the result of such an occurrence.

According to the question,

Mean, μ = 70.3 in

Standard deviation, σ = 2.1 in

Now,

The probability of getting people with height be:

→ P(X > x) = P([tex]\frac{X -\mu}{\sigma} > \frac{x-70.3}{2.1}[/tex])

                = 0.025

We know,

Z = [tex]\frac{X- \mu}{\sigma}[/tex]

→ P(X > x) = P(Z > [tex]\frac{x-70.3}{2.1}[/tex])

                = 0.025

The critical value be:

[tex]Z_{0.025}[/tex] = 1.96

hence,

The cut-off height be:

[tex]\frac{x-70.3}{2.1}[/tex] = 1.96

      x = 74.416 in

Thus the above answer is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

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Explanation:

Consecutive integers are integers like 1,2,3,... or 6,7,8... so they are integers that follow one after another.

Consecutive odd integers are sequences like 3,5,7,... or 21,23,35... meaning they are odd integers following one after another as close as possible.

If x is some integer, then 2x is always even and 2x+1 is always odd

let 2x+1 be that first odd integer

adding on 2 leads to the next odd integer: (2x+1)+2 = 2x+3

adding on another 2 leads to the next one: (2x+3)+2 = 2x+5

The three expressions

2x+1

2x+3

2x+5

represents three consecutive odd integers. They must add to 105

(2x+1)+(2x+3)+(2x+5) = 105

(2x+2x+2x)+(1+3+5) = 105

6x+9 = 105

6x = 105-9

6x = 96

x = 96/6

x = 16

Meaning that

2x+1 = 2(16)+1 = 33 = first odd integer

2x+3 = 2(16)+3 = 35 = second odd integer

2x+5 = 2(16)+5 = 37 = third odd integer

As a check

33+35+37 = 105

which confirms the answer

Answer: y/y+x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

Correct option is the last one

Answer:

Its either A or B and I'm pretty sure its B. I know its definitely not C or D

Step-by-step explanation:

Answer:

all

Step-by-step explanation:

wrong

Answer: Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .

Step-by-step explanation:

Given: Total distance to run =[tex]6\dfrac14[/tex] miles  [tex]=\dfrac{25}{4}[/tex] miles

Total members = 1+4 = 5

if each member runs equal distance.

Then, each member will run = [tex]\dfrac{\text{Total distance}}{\text{Total members}}[/tex]

[tex]=\dfrac{\dfrac{25}{4}}{5}\\\\ \lim_{n \to \infty} a_n =\dfrac{25}{4\times5}\\\\=\dfrac{5}{4}\\\\ = 1\dfrac14 \text{miles}[/tex]

Hence, Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .

Answer:

Read the problem out loud to yourself.

Draw a Picture.

Think “What do I need to find?”

List what is given.

Find the key words.

Solve.

Check your work.

Step-by-step explanation:  Hopefully this helped!

Answer:

2.

Step-by-step explanation:

Answer:

Can you pls answer my last question that i posted?

Step-by-step explanation:

The value of x from the given proportion is 4.

The given numbers 12, 9 and 3 are proportions.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

To find the value of x:

So, 12:x::9:3

⇒ 12×3=x×9

⇒ 9x=36

⇒ x=36/9

⇒ x=4

Therefore, the value of x from the given proportion is 4.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ1

9514 1404 393

Answer:

  use the ASA postulate with alternate interior angles

Step-by-step explanation:

Congruence in general

For proving triangle congruence, there are basically 4 ways to do it. All require at least one side. They are ...

When applied to right triangles, the right angle counts as one of the angles, and two sides determine the third, so these can become the LL, HL, HA, LA theorems, where the letters (H, L, A) stand for (hypotenuse, leg, angle), respectively.

__

Approach to this problem

Of course, you're familiar with the relationship between angles where a line crosses parallel lines. Those relationships can help you identify two congruent angles in each triangle. The fact that the triangles share a side between those angles gives you a clue that you will be using the ASA postulate for your proof.

Specifics

1. AB ║ CD and AD ║ BC . . . . given

2. ∠1≅∠3 . . . . alternate interior angles at a transversal of parallel lines are congruent

3. AD≅DA . . . . reflexive property of congruence

4. ∠2≅∠4 . . . . alternate interior angles at a transversal of parallel lines are congruent

5. ∆DAB ≅ ∆ADC . . . . ASA postulate

The angle of NPR is 130°

First, set up an equation to find x.

[tex](3x-10)+2x+65=180[/tex]

Then, solve the equation for x.

[tex]x=25[/tex]

Then, substitute 25 in for x in 2x

50

Finally, subtract 50 from 180 to find the angle of NPR

130°

Answer:

76

Step-by-step explanation:

angle FGH = 120, angle FGV = 44, and angles VGH and FGV add up to angle FGH. These are the givens. Since VGH + FGV = FGH, then FGH - FGV = VGH. That can be rewritten as 120 - 44 = VGH. 120 - 44 = 76, so VGH = 76

Answer:

280

Step-by-step explanation:

We have 28 tens

28 * 10

280

Answer:

The invert part of “invert and multiply” means to take the denominator of this big fraction, 1/4, and invert it. In other words, flip it on its head so its numerator becomes its denominator and vice versa. The inverse of 1/4 is therefore 4/1, or just 4.

Step-by-step explanation:

The invert part of “invert and multiply” means to take the denominator of this big fraction, 1/4, and invert it. In other words, flip it on its head so its numerator becomes its denominator and vice versa. The inverse of 1/4 is therefore 4/1, or just 4.

Answer:

y = 2x+4

Step-by-step explanation:

From the graph, we can tell that slope is 2 because if we go up 2 units up from (0,4) which is point Q and then go right 1 unit, the slope is 2. The y intercept is (0,4)

y = mx + b

m --> slope

b --> y-intercept

y = 2x+4

Answer:

  (2, -8)

Step-by-step explanation:

The components of the vector are ...

  (units right, units up)

The image is 2 units to the right and 8 units down from the original, so the translation vector is ...

  (2, -8)

Answer:

(2,-8)

Step-by-step explanation:

(units right, units up)

Since 1/2 slope is perpendicular to the equation the slope is -2 which is the opposite of the reciprocal of 1/2.

Since the slope is -2, every time you go forward you go down 2.

(-1, 0)

(0, -2)

The y-intercept is -2.

y = mx + b

y = -2x - 2

The answer is B

Answer:6

Step-by-step explanation: 6(5+2) because 6 is the greatest common factor

[tex] - 64 \sqrt{2} [/tex]

is the answer