Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,

the measurement should be 4

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Given:

let

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

Learn more about fraction:

https://brainly.com/question/2929160

Answer:

Step-by-step explanation:

M = -3

y= mx +b

m stands for slope and -3 is in that position so -3 is your slope

Answer:

Step-by-step explanation:

The question is asking us to find the slope of the line y = -3x + 3.

Note that the equation is written in slope-intercept form:

y = mx + b

Where:

For this problem the coefficient of x is -3, and the constant is 3.

Therefore, the slope is -3.

Answer:

x-4>=7

Step-by-step explanation:

x- how much flour needed at the start

x-4 used for rolls

Answer:

The inverse of f(x)=3x+1 is f(x)−1=13x−13

Step-by-step explanation:

Answer:

[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]

Step-by-step explanation:

Inverse means the opposite of the original function.

Answer:

$475

Step-by-step explanation:

$550 - $75 = $475

$475 = x

Answer:

The answer would be  $550-$75

Step-by-step explanation:

This would give you how much money was in her account before she adds the deposit.

Answer:

8.6•10^-5 or 0.000086

Answer:

11.4

Step-by-step explanation:

10% of 57 is 5.7

5.7 in 1 min

5.7*2 for 2 min

you get 11.4

Hooray! You solved the problem!

Answer:

It's 11.4 Feet

Step-by-step explanation:

If it takes the sub 1 minute to go down 10% of 57 feet, then another minute will be another 10%. So 10% = 5.7 feet, and 10% + 10% = 11.4 feet.

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Answer: -1/9

Explanation: Perpendicular lines have negative reciprocal slopes.

A negative reciprocal slope is a fancy way of

saying flip the fraction and change the sign.

Notice that our slope is an integer.

We can turn it into a fraction by putting it over 1.

So we have 9/1.

A line perpendicular to this would be a negative reciprocal.

So flip the fraction, giving us 1/9, and change the sign to get -1/9.

Answer:

96.9

Step-by-step explanation:

A little bit of this and allit;e bit of that

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

Answer:

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

Step-by-step explanation:

The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.

There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.

Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

Step-by-step explanation:

line passes through the point (5,0) and another one (0,3)

equation of the line passing through two points is

x-x1/x2-x1=y-y1/y2-y1

so

x-5/0-5=y-0/3-0

(x-5)*3=y*(-5)

3x-15+5y=0

this is the equation of the line shown in the graph

Answer:

same slope

Step-by-step explanation:

if it has the same slope then the you will know the two lines are parallel

hope this helps

brainliest?

Answer:

649

Step-by-step explanation:

Given that

Mean number of dresses is 5.5

Standard deviation of the sample, S.D is 1.3

Margin of error, M.E is 0.1

Level of confidence is 95% or 0.95

The formula for margin of error, M.E is

Z * (S.D/√n) , where

Z = Value for level of confidence which is 1.96

Proceeding further, we have

0.1 = 1.96 * (1.3/√n)

0.1 = 2.548 / √n, making √n subject of formula, we have

√n = 2.548 / 0.1

√n = 25.48, squaring both sides

n = 25.48²

n = 649.23

Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649

Answer:

8 pi > 24  true

Step-by-step explanation:

12/pi >4

12 > 4pi

pi is slight greater than 3

12 > 4* a number greater than 3

12 >  a number greater than 12  false

pi + 3 < 6

a number slightly greater than 3 + 3 < 6

a number lightly greater than 6 < 6   false

8 pi > 24

8 * a number slightly greater than 3 > 24

a number greater than 24 > 24   true

6 - pi > 3

6 - a number slightly greater than 3 > 3

a number less than 3 > 3  false

Answer:

Step-by-step explanation:

Slope= -3/1

plot from point  (-2,4)

Answer:

Step-by-step explanation:

Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.

cos(0.1309 H) = -0.4336 tan (40o 46 minutes)  I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.

cos(0.1309 H) = -0.4336 tan (40 46/60  )

cos(0.1309 H) = -0.4336 tan (40.766666667)

cos(0.1309 H) = -0.4336 * -0.074173405

cos(0.1309 H) = 0.032161588

0.1309 H = cos-1(0.032161588)

0.1309 H =  1.538629191

H = 1.538629191 / 0.1309

H = 11.754 which is no where near 15 hours, but it is what the numbers give.

I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.

The other two cities should come to something near  this answer.  

Answer:

70 is the answer to the question

Answer:

[tex]70^{o}[/tex]

Step-by-step explanation:

Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees

Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Answer:

Sara lives next to south of Maratha and has black hairs.

One women lives at the east of joi has purple hairs.

One women who has silver hairs lives in Moldova which is north to Joi.

The young women with blond hairs lobe to south of Arianna.

Step-by-step explanation:

There are five women who are at the salon for their hair care services. All of the women have different colored hairs. The women with blonde hairs live in Arianna which is south wast to the women who lives in Joi. The women who lives in Joi has purple hairs.

Answer:

Addition

Step-by-step explanation:

If it has the word "add" in it it's probably addition.

Answer:

The answer is addition.

Step-by-step explanation:

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Answer:

I want to say 6.75 just because it's to small tho

Step-by-step explanation:

Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5

Step-by-step explanation:

Answer:

I really hope this helps :), 68

Answer:

About 25 sandwiches...

Step-by-step explanation:

Answer:

67 sandwiches

Step-by-step explanation:

If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.

I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.