Which expression is equivalent to the following complex fraction?

Answer:

460 1/3

Step-by-step explanation:

175 2/3 + 456 2/3

First convert to improper fraction,

527/3 + 854/3

=> 1381/3

Then After adding convert back to mixed fraction,

=> 460 1/3

Answer:

A.

Step-by-step explanation:

Start with

7y + 5 - 3

Combine like terms:

7y + 2

By combining like terms in 7y + 5 - 3, we end up with 7y + 2 which is the second expression.

Therefore, the expressions are equivalent because they evaluate to equal values for every value of y.

Answer: A.

Answer:

A. 4

Step-by-step explanation:

The diagonals are also congruent to each other. Diagonals of a square bisect each other. This implies that:

MO bisects LN, thereby dividing LN into two equal segments, LG and GN.

Thus, LG = GN.

Since the length of LG = 4, therefore:

GN = 4

Answer:

0.5

Step-by-step explanation:

P(that an event occurs) = 0.5

P(that an event does not occur) = 1 - P(that an event occurs)

                                                     = 1 - 0.5

                                                     = 0.5

Answer:

It is also 0.5

Step-by-step explanation:

From independent events:

[tex]{ \bf{p + q = 1}}[/tex]

p is probability for an event to occur (success).

q is probability for an event not to occur (failure).

[tex]{ \tt{0.5 + q = 1}} \\ { \tt{q = 1 - 0.5}} \\ { \tt{q = 0.5}}[/tex]

Answer:

SU = 1

Step-by-step explanation:

First because all sides are equal set the two sides equal to each and solve for x

2x + 5 = 5x + 2

Isolate the x-terms

2x + 5 - 2 - 2x = 5x + 2 - 2 - 2x

5 - 2 = 5x - 2x

3 = 3x

Divide both sides by 3

x = 1

Answer:

it’s 7

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

1/3(6x-3)+2(x-1) = -7

Distribute

2x-1 +2x-2 = -7

Combine like terms

4x -3 = -7

Add 3 to each side

4x-3+3 = -7+3

4x = -4

Divide by 4

4x/4 = -4/4

x = -1

[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]

[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]

[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]

[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]

[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]

[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]

Answer:

6

Step-by-step explanation:

Given :

Sample size, n = 36

Sample variance, s² = 1296

The estimated standard error can be obtained using the relation :

Standard Error, S. E = standard deviation / √n

Standard deviation, s = √1296 = 36

S.E = 36/√36

S.E = 36/6

S.E = 6

Hence, estimated standard error = 6

Answer: 17 feet

Step-by-step explanation:

51/48 = x/16

(51)(16)/48

The statute is 17 feet tall.

Similar triangles are the triangles that have the same shape, but different sizes. The corresponding angles are congruent and the sides are in proportion.

The ratio of any corresponding sides in two equiangular triangles is always the same.

Let's visualize the situation according to the given question.

AB is the building ,whose height is 51f

BC is the shadow of the building AB, whose length is 48ft.

QR is the shadow of the tower statue, whose length is 16feet.

Let the height of the statue PR be h feet.

In triangle ACB and triangle PRQ

∠ACB = ∠PRQ = 90 degrees  

( the objects and shadows are perpendicular to each other)

∠BAC = ∠QPR

( sunray falls on the pole and tower at the same angle, at the same time )

⇒ΔACB similar to ΔPRQ   ( AA criterion)

Therefore, the ratio of any two corresponding sides in equiangular triangles is always same.

⇒ AC/CB = PR/RQ

⇒[tex]\frac{51}{48} =\frac{h}{16}[/tex]

⇒ h = [tex]\frac{(51)(16)}{48}[/tex]

⇒ h = 17 feet.

Hence, the statute is 17 feet tall.    

Learn more about the similar triangle here:

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Answer:

(6, ....... )  ( -3, .........)  ( 1, .......)

x,y values therefore = (6, 29) ( -3, -34) (1, -6)

as x = 0 when y = -13

we simply x 6 into equation to find 30

y = 7 x 6 -13

y = 42 - 13

y = 29  

Then for -3 we simply x by -3 to find y

y = 7 x -3 -13

y = -21 - 13

y = -34

then for 1 we simply x by 1 to find y

y = 7 x 1 -13

y = 7 - 13

y = -6

y = 7x - 13

Step 1)  Set above equation equal to 0 by remembering the methods;

Solve   y-7x+13  = 0

Step 2)  Calculate the y intercept;

Notice that when x = 0 the value of y is -13/1 so this line "cuts" the y axis at y=-13.00000   see attached to help memorize.

Step 3) Calculate the X-Intercept :

When y = 0 the value of x is 13/7 Our line therefore "cuts" the x axis at x= 1.85714

Step 4) Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-13.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 14.000/2.000 =  7.000

As seen below.

 x-intercept = 13/7  =  1.85714

slope =  14000/2000 = 7000

x intercept =  13/7 = 1.85714

y intercept = 13/1 = 13.00000

Answer:

[tex]X=53[/tex]

Step-by-step explanation:

From the question we are told that:

Regular fare R= $275

Discount fare of $125

Mean [tex]\=x =50[/tex]

Standard deviation [tex]\sigma= 26.[/tex]

Generally, the equation for Critical Fraction is mathematically given by

[tex]C=\frac{Pf-Pd}{Pf}[/tex]

[tex]C=\frac{275-125}{275}[/tex]

[tex]C=0.5[/tex]

From Z Distribution Table

[tex]Z=0.1131[/tex]

Therefore

Reservation  made is give as for High fare travellers is

[tex]X = \=x+(z* \sigma)[/tex]

[tex]X = 50 + (0.1131 * 26)[/tex]

[tex]X=53[/tex]

Answer:

No conclusion possible

Step-by-step explanation:

yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye

Answer:

I think that the answer is - 8.-1=8

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

Answer:

0.33362176

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that a football team has a probability of 0.76 of winning when playing any of the other four teams in its conference, the probability that the team wins all its conference games

= 0.76 * 0.76 * 0.76 * 0.76

= 0.33362176

This is the probability that the teams wins the 4 matches played against the other teams in the conference.

Answer:

Choice A.

[tex]2 {x}^{ \frac{2}{5} } \times y ^{ \frac{2}{3} } [/tex]

Answer:

y =7

x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3)  tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

sin 30 = 7/x

x sin 30 =7

x = 7/ sin 30

x = 7 / 1/2

x = 14

Step-by-step explanation:

........... ................

9514 1404 393

Answer:

  B. 11.000

Step-by-step explanation:

The function looks like a reflected and translated exponential function with a horizontal asymptote near y = 11.000. The rate of change is decreasing so fast that the next value is expected to be very near 10.994. The closest one among the answer choices is 11.000.

_____

First differences are 0.811 and 0.011. The latter is about 0.0136 times the former. At that rate of change, we expect the next first difference to be about 0.000149, which would make the next number in sequence be about 10.9941—very little change from 10.994.

Clearly, first differences are not constant, so the function is not linear. Ratios of the numbers are not constant, so this is not an exponential (geometric) sequence. A reflected exponential function of the type described is a good fit.

With only 3 points given, the rule is not at all obvious. The next term could legitimately be anything you like, and a rule could be made that would fit it.

Answer:

243212

Step-by-step explanation:

Substitute the given value of t into the given formula. To find t, subtract 1997 from 2020.

2020−1997=23

Now substitute 23 into the equation for t and calculate.

N(t)N(23)==≈410(1.32)t410(1.32)23243,212

The number of unique visitors to the college website in the year 2020 was approximately 243,212.

Answer:

4.0

Step-by-step explanation:

50% means half.

Divide by 2.

7.9 ÷ 2 = 3.95.

Round to the tenths place.

4.0

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

There are fourteen rungs on the ladder

Answer:

x=5 and h=5*sqrt(2)

Step-by-step explanation:

It's an isosceles right triangle, x=5. Use Pythagoras and compute h

Answer: $ 39.60

Step-by-step explanation:

36 + (36*0.10) = 39.60

Answer:

1. coefficient of 3rd term = 1

2. constant term= 0

The coefficient of the third term is 1 while the constant term is 0 for the given expression.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

As per the given polynomial,

(1/2)a⁴ + 3a³ + a

Here a is a variable.

(1)

The third term is a and its coefficient is 1 as (1)a.

(2)

All terms have variable "a" thus none of the terms is constant so the constant term is 0.

Hence "For the following statement, the constant term has a coefficient of 0 and the third term has a coefficient of 1".

To learn more about expression,

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Answer:

-1: rational

√3 + -1: irration

Step-by-step explanation:

A rational number is negative, if its numerator and denominator are of the opposite signs.

Hope this helps <3

Answer:

1=circum=37.7inc&diam=7 inc

Answer: m = 1/b

Step-by-step explanation: Unfortunately, I can't give you a picture of the slope, but take that formula I gave you and enter it into a graphing calculator and it will show you the slope. I recommend desmos online calculator, good luck

Answer:

F statistic = 2.124

Pvalue = 0.0546

A. Fail to reject the null hypothesis. There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

Step-by-step explanation:

H0 : pain reduction is the same

H1 : pain reduction is varies more with sham.

Sham n= 20 x=0.41 s=1.37

Magnet n= 20 x =0.46 s= 0.94

α - level = 0.05

Using the Ftest statistic

Ftest = larger sample variance / smaller sample variance

Ftest = s1² / s2² = 1.37² / 0.94² = 1.8769 / 0.8836 = 2.124

The degree of freedom :

Numerator = n - 1 = 20 - 1 = 19

Denominator = n - 1 = 20 - 1 = 19

Pvalue(2.124, 19, 19) = 0.0546

Since ;

Pvalue > α ; WE fail to reject the Null ; Result is not significant