What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3 . A.x - 3y - 7 = 0 B.x - 3y + 7 = 0 C.3x - y - 7 = 0

Answers

Answer 1

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of the line using point (1 , - 2) and slope 1/3 is

y + 2 = 1/3( x - 1)

Multiply through by 3

That's

3y + 6 = x - 1

Simplify

x - 3y - 1 - 6 = 0

We have the final answer as

x - 3y - 7 = 0

Hope this helps you


Related Questions

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Answers

Answer:

(a) 27 degrees (nearest degree)

(b) 17.9 m  (to one decimal place)

Step-by-step explanation:

Wow, that's along ladder, perhaps for the firemen!

From diagram,

(a)

sin(x) = 9 / 20 = 0.45

x = arcsin(0.45) = 26.74 degrees

(b)

height of wall ladder reaches

h = 20*cos(x) = 20*cos(26.74) = 17.86 m

The selling price of a car is $15,000. Each year, it loses 12% of its value.
Which function gives the value of the cart years after its purchase?
Select the correct answer below:
f(t) = 15,000(0.12)
f(t) = 15,000(1.12)
f(t) = 15,000(1.88)
f(t) = 15,000(0.88)
f(t) = 15,000 – (0.12)​

Answers

Answer:

f(t) = 15,000(0.88)

Step-by-step explanation:

Applying the formula for the car deprecation we have

[tex]f(t)=P(1-\frac{r}{100} )^n[/tex]

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

[tex]f(t)= 15000(1-\frac{12}{100} )^1\\\f(t)= 15000(1-0.12 )\\\f(t)= 15000(0.88)[/tex]

A ball is thrown from an initial height of 2 feet with an initial upward velocity of 33/fts. The ball's height h (in feet) after t seconds is given by the following. =h+2−33t16t2 Find all values of t for which the ball's height is 18 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)

Answers

Answer:

t=1.283 seconds and

0.779 seconds

Step by step Explanation:

Given: h=18 ft

The given equation is h=2+33t-16t²

Then if we substitute the value of given h, h=18 ft into the given equation we have,

18=2+33t-16t²

Then if we re- arrange we have

16t²−33t+16=0

We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is

t= −(−33±√[(−33) ²−4×16×16)]/(2×16)

= [33±√[1089−1024]/(32)

= [33±√[65]/(32)

=1.283 or 0.779 seconds

the two real roots , of the quadratic are:

1.283 and

0.779 seconds

t= 1.283 or 0.779 seconds

Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,

and is at 21 feet with height 1.283 seconds after after thrown down

Find the angle between (u= sqrt 5i) -8j and (v= sqrt 5i) +j. Round to the nearnest tenth of a degree.

Answers

Answer:

98.5

Step-by-step explanation:

The dude above do be wrong doh

If A=p+prt, than t equalls?

Answers

Answer:

[tex]\boxed{t=\frac{A-p}{pr}}[/tex]

Step-by-step explanation:

[tex]A=p+prt[/tex]

Subtract p on both sides.

[tex]A-p=p+prt-p[/tex]

[tex]A-p=prt[/tex]

Divide both sides by pr.

[tex]\displaystyle \frac{A-p}{pr} =\frac{prt}{pr}[/tex]

[tex]\displaystyle{\frac{A-p}{pr} =t}[/tex]

Answer:

A=p+prt

=>A/R=2pt

=>A/RT=2p

=>A/RTP=2

=>A/2RP=T

Not Logical.....LollllllFollow meehhhh ⚡❤♥️✨♥️❤❤❤

The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. The manufacturer claims each tablet has at least 200 milligrams of the active ingredient. The consumer Watchdog Bureau assumes the manufacturer claim is correct, but occasionally tests samples of the tablets to ensure they contain enough of the ingredient. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The sample mean content of the active ingredient is 205.7 milligrams, while the sample standard deviation is 21 milligrams. What is the p-value for this test?

Answers

Answer:

The  p-value is  [tex]p-value = 0.013167[/tex]

Step-by-step explanation:

From the question we are told that

     The  population mean is [tex]\mu[/tex] =  200 milligrams

     The sample size is [tex]n = 70[/tex]

     The sample  mean is  [tex]\= x = 205.7[/tex]

      The  sample standard deviation is  [tex]\sigma = 21 \ milligram[/tex]

Generally the Null hypothesis is  mathematically represented as

      [tex]H_o : \mu = 200[/tex]

The Alternative  hypothesis is  

     [tex]H_a : \mu < 200[/tex]

The test statistics is mathematically represented as

       [tex]t_s = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

substituting values  

     [tex]t_s = \frac{ 205.7 - 200 }{\frac{21}{\sqrt{70} } }[/tex]

     [tex]t_s = 2.270[/tex]

Now the p-value is mathematically represented as

      [tex]p-value = P(Z \le t_s )[/tex]

substituting values  

      [tex]p-value = P(Z \le 2.270 )[/tex]

Using the Excel function[=NORMDIST(2.270)] to calculate the p-value we obtain that

       [tex]p-value = 0.013167[/tex]

   

Answer:

A) 0.012

From CollegeBoard

The total cost for my brother's bowling party was $140. It cost $50to reserve a bowling lane plus the cost of renting shoes for the 9 people attending.

Answers

$140 - $50 for the bowling lane = $90
$90 divide by the 9 people attending = $10 for bowling shoes for each person

Answer:

$10 to rent shoes for 9 people

Step-by-step explanation:

Total amount of the party = $140

A bowling lane = $50

$140 - $50 = $90

$90 divided by 9 = 10

$10 to rent shoes for 9 people

Find the solution to the system of equations.

Answers

Answer:

x = - 4, y = 7

Step-by-step explanation:

Given the 2 equations

- 7x - 2y = 14 → (1)

6x + 6y = 18 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate the y- term

- 21x - 6y = 42 → (3)

Add (2) and (3) term by term to eliminate y

- 15x = 60 ( divide both sides by 15 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (2)

6(- 4) + 6y = 18

- 24 + 6y = 18 ( add 24 to both sides )

6y = 42 ( divide both sides by 6 )

y = 7

Identify the algebraic series.

A) 10, 23, 36...... B) 4 + 8 + 16 +...... C) 100, 90, 81,...... D) 84 + 73 + 62 +.......

Answers

Answer:

Please read the answer below.

each number is the previous one less 11.

Step-by-step explanation:

A)

10, 23, 36, 36 +13 , 36 +13 +13 , 36 +13 +13+13, ...

= 10, 23, 36, 49, 62, 75, ...

each number is the sum of the previous number plus 13.

B)

4 + 8 + 16 + 2^5 + 2^6 +2^7 +2^8 + ... + 2^n

= 4 + 8 +16 + 32 + 64 + 128 +256 ...

each number is a power of 2.

C)

100, 90, 81, 81-9, 81-9-9, 81-9-9-9, ...

= 100, 90, 81, 72, 63, 54, 45, ...

each number is the previous one less 9.

D)

84 + 73 + 62 + (62-11) + (62-11-11) + (62-11-11-11) + ....

= 84 + 73 +62 + 51 + 40 + 39 + ...

each number is the previous one less 11.

A researcher is interested in determining the mean energy consumption of a new
compact florescent light bulb. She takes a random sample of 41 bulbs and determines
that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.
When constructing a 97% confidence interval, which would be the most appropriate
value of the critical value?

A) 1.936
B) 2.072
C) 2.250
D) 2.704
E) 2.807


Answers

Answer:

The most appropriate  value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines  that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate  value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be [tex]\frac{1 - 0.97}{2} = 0.015[/tex] .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

     [tex]\frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}[/tex]

So, the critical value at a 1.5% significance level is 2.289.

The graph represents function 1 and the equation represents function 2:

Function 2 y = 4x + 1

How much more is the rate of change of function 2 than the rate of change of function 1?

Answers

Greetings from Brasil...

In a linear function, the rate of change is given by M (see below).

F(X) = Mx + N

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first

Your answer is two!!

EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k. SOLUTION (a) The gradient of f is ∇f(x, y, z) = fx(x, y, z), fy(x, y, z), fz(x, y, z)

Answers

Answer:

a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)kb) -2

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

Joey borrows 2000 from his grandfather and pays the money back in monthly payments of 200.
1. Write a lineat function that represents the remaining money owed L(x) after x months.
2. Evaluate L(10) and interpret the meaning in the context of this problem.
A. L(x) - 200x + 2,400; L(10) = 4,400, This represents the amount Joey has paid his grandfather after 10 months.
B. L(x) = 200x + 2,400; L(10) - 4,400, This represents the amount Joey still owes his grandfather after 10 months.
C. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey has paid his grandfather after 10 months.
D. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey still owes his grandfather after 10 months.

Answers

The correct question is;

Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.

a. Write a linear function that represents the remaining money owed L(x) after x months.

b. Evaluate L(10) and interpret the meaning in the context of this problem.

A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his

grandfather after 10 months.

B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his

grandfather after 10 months.

C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his

grandfather after 10 months.

D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his

grandfather after 10 months.

Answer:

A) L(x) = 2400 - 200x

B) Option D is correct

Step-by-step explanation:

A) We are told that Joey borrowed 2400.

Now he pays back in installments of 200 every month.

Thus for x number of months he would have paid 200x.

Thus,the linear function that represents the remaining money owed is;

L(x) = 2400 - 200x

B) L(10) = 2400 - (200 * 10)

L(10) = 2400 - 2000

L(10) = 400

Thus, after 10 months, Joey is owing 400.

So, looking at the given options, the correct one is option D.

In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC? ∠CAB ≅ ∠SAB ∠CAS ≅ ∠BAS

Answers

Answer:

∠CAB ≅ ∠SAB is not true

Step-by-step explanation:

CPCTC means id ABC = XYZ, than A=X, AB=XY, C=Z and so on. Basically the number numbers that come in the same order as the other one is equal.

So ∠CAS ≅ ∠BAS is true but ∠CAB ≅ ∠SAB is not.

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

Answer:

sap

Step-by-step explanation:

Brainliest for correct awnser! What is the domain of f(x)?

Answers

Answer:

[tex]\mathrm{B.}[/tex] All real numbers except x = 2, x = 5

Step-by-step explanation:

If the denominator is equal to 0 then the function would be undefined.

Set the denominator equal to 0.

x² - 7x + 10 = 0

Factor the left side of the equation.

(x - 5)(x - 2) = 0

Set the factors equal to 0.

x - 5 = 0

x = 5

x - 2 = 0

x = 2

The domain is all real numbers except x = 2 and x = 5.

What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Answer:

10.2 m

Step-by-step explanation:

180 - 81 - 30 = 69

law of sines

x /sin 30 = 19/sin 69

x = 10.2

The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations?
(a) n = 15, t = 1.66, a = 0.05
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(b) n = 15, t = 1.66, a = 0.05
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(c) n = 26, t = 2.55, a = 0.01
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(d) n = 26, t = 3.95
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answers

Answer:

Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Step-by-step explanation:

We are given;

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14

Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.

After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.

Answers

Answer:

Step-by-step explanation:

Given that:

the standardized test scores of the students in a school are normally distributed with:

mean = 85 points

standard deviation = 3 points

Using the empirical rule:

=85 - (3 × 3)

= 85 - 9

= 76

The given value of 76 points is 3 standard deviations below mean

Therefore;

the percent score between the given value of 76 points and the  mean 85 points is:

99.7/2 = 49.85%   ( since 99.7 data value lies within 3 standard deviation)

Also ; the percent of value above the mean score = 50%

Therefore, the probability that a student's score is greater than 76 points is

= (49.85 + 50 )%

 = 99.85%

Answer:

mean=85

sd=3

85-3*3=76

its between 76 and 85=99.7/2=49.85%

50% mean above.

49.85+50=99.85%

Step-by-step explanation:

Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n

Answers

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

6th grade math, help me please:)

Answers

Answer:

21

Step-by-step explanation:

Just like a dilation you want to find some sort of scale factor. Now when 7/2 is simplified it then becomes 3.5. Now multiply that by 6 since we are trying to find the ratio. when multiplied by 6 it becomes 21 so the ration of wins to losses is 21/6

In the diagram below, AB is parallel to CD. What is the value of X?

A. 60
В. 100
C.120
D. 80

Answers

The answer would have to be 60
Where is the diagram ?

What is the reciprocal of (17h)/(46j)?

Answers

Answer:

I dont give the answer right away so you read what i write and fully understand :D

Step-by-step explanation:

The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.

Answer:

46j over 17h

Step-by-step explanation:

a reciprocal fraction is formed by flipping the fraction around

for example:

2/3

reciprocal= 3/2 or 1.5

HOPE THIS HELPS!!! :)

The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph? –3 –2 2 6

Answers

Answer:

-3

Step-by-step explanation:

-3 is the answer

Answer:

-3

Step-by-step explanation:

If possible, find A − B.

Answers

Answer:

-2             7

-1             -6

Step-by-step explanation:

I used a calculator.

Mrs Tan has 2 daughters, Phoebe and Jody. The highest common factor and lowest common multiple of their ages are 3 and 168 respectively.If Phoebe is 3 years older than her sister, find her age. ​

Answers

Answer:

Phoebe's age = 24 years.

Step-by-step explanation:

Given:

Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.

Phoebe is 3 years older than Jody.

To find:

The age of Phoebe = ?

Solution:

Here, We have two numbers whose

HCF = 3 and

LCM = 168

Let the age of Phoebe = P years and

Let the age of Jody = J years

As per given statement:

[tex]P = J + 3 ...... (1)[/tex]

Let us learn about the property of LCM and HCF of two numbers.

The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.

LCM [tex]\times[/tex] HCF = P [tex]\times[/tex] J  

[tex]\Rightarrow P\times J = 3 \times 168 \\\Rightarrow P\times J = 504[/tex]

Putting the value of P from equation (1):

[tex]\Rightarrow (J+3)\times J = 504\\\Rightarrow J^2+3J-504 = 0\\\Rightarrow J^2+24J-21J-504 = 0\\\Rightarrow J(J+24) - 21(J+24) = 0\\\Rightarrow (J - 21)(J+24) = 0\\\Rightarrow J = 21, -24[/tex]

Negative value for age is not possible So, Jody's age = 21 years

Using equation (1):

Phoebe's age = 21 + 3 = 24 years.

Write an equation for the absolute value. PLEASE HELP I’m so confused on this!!!

Answers

Answer:

y = 3 |x − 8| + 1

Step-by-step explanation:

y = 3 |x|

Shift right 8 units:

y = 3 |x − 8|

Shift up 1 unit:

y = 3 |x − 8| + 1

Ellie bought two planks of wood that were each 4ft 3in long, and two planks of wood that were each 6 ft 5in long. What is the total length of the wood she purchased?

Answers

Answer:

21 feet 4 inches

Step-by-step explanation:

Ellie bought two planks of wood that were each 4ft 3in long

Total length of these two planks = 4ft 3in + 4ft 3in = 8 feet 6 inches

she also bought  two planks of wood that were each 6 ft 5in long

Total length of these two  6 ft 5in planks =  6 ft 5in +  6 ft 5in = 12 feet10 inches

Thus, total length of all the woods purchased = Total length of 4ft 3in two planks  + Total length of the two  6 ft 5in planks

= 8 feet 6 inches + 12 feet 10 inches

adding feet with feet and inches with inches term

= 20 feet 16 inches

we know that 12 inches is equal to 1 feet

thus, 16 inches can be written as 1 feet 4 inches

thus,

20 feet 16 inches will be same as 21 feet 4 inches

The total length of the wood Ellie purchased is 21 feet 4 inches.

Enter the coordinates of the point on the unit circle at the given angle. 150 degrees. please help!

Answers

Answer:

[tex]\boxed{(-\frac{\sqrt{3}}{2}, \frac{1}{2})}[/tex]

Step-by-step explanation:

Method 1: Using a calculator instead of the unit circle

The unit circle gives coordinates pairs for the cos and sin values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).

Method 2: Using the unit circle

Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value.

This coordinate pair is (-√3/2, 1/2).

Answer: This coordinate pair is (-√3/2, 1/2).

Step-by-step explanation:

Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value.

Please answer this correctly without making mistakes.Please simplify the correct answer

Answers

Answer:

19/70 of NASA shuttle missions were carried out by Discovery.

9/140 of NASA shuttle missions were carried out by Challenger.

17/70 of NASA shuttle missions were carried out by Endeavour.

Step-by-step explanation:

Adding the number of missions carried out by NASA gives us 140 in total.

Discovery's total amount of missions simplified is 19/70.

Challenger's total amount of missions is already in the simplest form.

Endeavour's total amount of missions simplified is 17/70.

Answer:

81/140

Step-by-step explanation:

Well to find the fraction we first need to total amount of NASA missions.

38 + 32 = 70

70 + 34 = 104

104 + 27 = 131

131 + 9 = 140

Now we need to find out the amount of Discovery, Challenger, and Endeavour missions.

38 + 9 + 34 = 81

Now we can make the following fraction,

81/140

This is already in simplest form.

Thus,

the answer is 81/140.

Hope this helps :)

Which of the following statement is incorrect?
4
A.3/4<4/5
B.5/6>0.83
C.2/3>0.66
D.1/3>0.3
درا​

Answers

Answer:

None,

they are all correct.

Step-by-step explanation:

A)

3/4 - 75%

4/5 - 80%

3/4 < 4/5

B)

5 ÷ 6 = .83333333333

5/6 > .83

C)

2 ÷ 3 = .666666666

2/3 > .66

D)

1 ÷ 3 = .33333333333

1/3 > .3

Thus,

all of the given statements are correct.

Hope this helps :)

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