Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?

one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds

Step-by-step explanation:

if you did not leave anything out, all we can do is

T = CB - 6

T + 6 = CB

C = (T + 6)/B

a+ ab³ + ab³ simplifies to  2ab³+a.

For simplifying the terms first we have to add Like Terms.

Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

In Algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

So hence we will add  ab³ + ab³= 2ab³

For any given term, we almost always list the variables in alphabetical order and any constant terms last — this is helpful in identifying common terms, a topic discussed in the next section. So, for example, it is simply not cool to write 15yx, 15 y x , we want to stay alphabetical and write 15xy. Exponents play no role in this decision.

Therefore a+ ab³ + ab³ simplifies to  2ab³+a.

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Answer:

35/4

Step-by-step explanation:

8*4=32

32+3

=35

35/4

Answer:

B.

Step-by-step explanation:

B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.

The probability of being dealt in a queen is 1/13.

To find the probability:

Therefore, the probability of being dealt in a queen is 1/13.

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1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.

The Height of the drill after 15 hours was 18.75 feet deep or (-18.75) feet.

Given that in 24 hours

the water well drilling rig dig -30 feet .

we know that ,

24 hours = 1 day

So,

1 hour =1/24 day

15 hours = [tex]\frac{15}{24} =\frac{5}{8} day[/tex]

Now according to the question ,

in 1 day the drilling rig dug -30 feet

So in [tex]\frac{5}{8} day[/tex] the drilling rig will dig =[tex]\frac{5}{8} *(-30)=-18.75feet[/tex]

in 15 hours (5/8 days ) drilling rig dig -18.75 feet.

Therefore , The Height of the drill after 15 hours (5/8 days) was 18.75 feet deep or (-18.75) feet.

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Answer: b) 9

Step-by-step explanation: if you take 3 * 9 it = 27 take that minus 6 that = 21

The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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Answer: nm(m-n)

Step-by-step explanation:

m^2n-mn^2=

n*m(m)-m*n(n)=

n*m(m-n)=nm(m-n)

Answer:An equation will not pass through the origin if the points are 0,0.

Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.

If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.

If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.

let x = length of first piece

2x = length of second piece

3 + 5x = length of third piece

x + 2x + 3 + 5x = 19 inches

Solving for x,

8x = 19 -3

8x = 16

x = 2 inches

length of first piece = 2 inches

Substitute the value of x in the expressions for the second and third piece.

length of second piece = 2x

length of second piece = 2(2)

length of second piece = 4 inches

length of third piece = 3 + 5x

length of third piece = 3 + 5(2)

length of third piece = 3 + 10

length of third piece = 13 inches

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Answer:

With what nothing there

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: No, for example, 50/2=25, 25 isn't even

Step-by-step explanation:

Answer:

No, it's not

Step-by-step explanation:

when u divide an even number with even number,the ans maybe appear in even as well as odd number also

For e.g:

1. 36/12=3

2. 12/6=2

3. 30/6=5

4. 60/10=6

Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.

As given,

Time taken by Stefan 17 hours

work in 1 hour = 1/ 17

Time taken by Jaidee = 18 hours

work in 1 hour = 1/18

If worked together:

Work complete in 1 hour = (1/17) + (1/18)

                                       = 35 / (17)(18)

Time taken to complete 1 work= (17)(18) /35

                                                = 8.74 hours

Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.

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Answer:

The answer is 10 for your math equation

Step-by-step explanation:

The values of each variable are x = 15° and y = 7°.

Given are two lines, intersecting each other at a point to make angles,

2(5x − 5)°, 20y°, (5y + 5)° and (3x - 5)°.

We need to find the values of the variables.

The lines are intersected in such a way that the angles 2(5x − 5)°, (3x - 5)°and (5y + 5)°, 20y° are making linear pairs.

We know that the linear pair angles sum up to make 180°.

So,

2(5x − 5)° + (3x - 5)° = 180°

10x - 10 + 3x - 5 = 180°

13x - 15 = 180°

13x = 195°

x = 15°

Similarly,

(5y + 5)° + 20y° = 180°

5y + 5 + 20y = 180°

25y = 175°

y = 7°

Hence the values of each variable are x = 15° and y = 7°.

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The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.

What is a rational number?

Problems with the division of Rational Numbers:

(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]

(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]

[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]

[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]

(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]

[tex]\frac{-7}{17} X\frac{34}{13}[/tex]

(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]

[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]

[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]

[tex]=\frac{3}{7}[/tex]

He multiplied the denominator and numerator.

(e)

[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]

(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]

0.75÷0.4 = 1.875

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]

(g)

Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]

Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]

The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]

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Answer:

1. -2/3        3. -5/4         5. 3/2          FOR THE REST OF THE PARTS LOOK THROUGH THE EXPLANATIONS

Step-by-step explanation:

Before I start the workings, I'll give a little explanation on this topic.

So, the equation of a straight line is

y = mx + c

where x and y are any coordinates of any point on the line.

m is the gradient or slope

m can be calculated using 2 formulas,

formula 1: Rise/Run

where rise is the how much a graph goes upwards or downwards, if its upwards use positive integer and if its downwards use negative integer.

Run is how much a graph moves to the right or to the left, if it moves to the right is is positive, if it moves to the left it is negative.

Formula 2: (y2-y1)/(x2-x1)

the values of these are taken through any 2 coordinates on the line.

and c is the y-intercept(the point where the line crosses the y-axis.

MOVING TO ANSWERING NOW

1. Dotted points on the line are (1,0) and (4,-2)

Formula of slope,

U can use any of the 2 formulas given above

I'll show both for this question

m = (y2-y1)/(x2-x1) = (-2-0)/(4-1) = -2/3

OR

m = rise/run = where rise is -2 and run is 3 so -2/3

2. TRY DOING THIS ONE YOURSELF

For the next part I'll do 3 and 5 for your understanding, try doing 2 and 4 on your own to understand.

3. Coordinates given (13,1) and (1,16)

m = (y2-y1)/(x2-x1) = (16-1)/(1-13) = 15/-12  simplify this and it becomes -5/4

5.  (-8,-14) and (-10,-17)

m =  (y2-y1)/(x2-x1) = (-17-(-14))/(-10-(-8)) = -3/-2 = 3/2

FOR THE NEXT PART I'LL DO 7,8 AND 10 FOR YOU, TRY DOING 9 ON YOUR OWN FOR PRACTICE.

I WILL ALSO ATTACH FILES FOR THE NEXT PARTS IN ORDER OF QUESTIONS SO SEE THEM.

7. y = x + 3 this means y = 1x +3 which means:

1 is the gradient

3 is the y-intercept

so 1 as a fraction is 1/1 which means rise is one upwards and run is 1 to the right.

Now go to the graph on the y-axis and plot the point 3, (0,3) is your y-intercept. From their rise by one and run by one this will lead u to point (1,4)

Mark both these points and make a line through them.

8. x = -5

now look at this equation in the form of y = mx + c

0 = 1x + 5 the means y is 0 and it is already told in the question that x = -5

if u rearrange 0 = 1x + 5 it will give you x = -5

now when y is  0 x = -5 put a point on the coordinate (-5,0) and draw a vertical straight line.

10. y = (1/4)x - 1

slope is 1/4 which means rise is 1 and run is 4

y-intercept is -1

now go to y=-1 which is the coordinate (0,-1) and rise by one and run by 4, this will take u to the coordinate (4,0) now put a dot on both coordinates, connect them and put a line through them.

Answer:

48 seeds germinated

Step-by-step explanation:

you have 60 seeds, and 80% of them germinated

80% = 0.80

[tex]60* 0.80 = 48[/tex]

48 seeds

Answer: 48 seeds germinated

Step-by-step explanation:

60/100= 0.6

0.6x80=48

Answer:

$110

Step-by-step explanation:

quarter is 1/4 of a thing

so $440 ÷ 4 = 110

hence we can conclude that if you get $440 in quarters you will get $110 each time

Hope it helps!!!

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Answer:

judging from the list of numbers i would pick a

The value of x = 1 when the value of the function h(x) = 4.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Given that,

h(x)= 3x+1

The value of h(x) = 4:

4 = 3x + 1

4 - 1 = 3x

3x = 3

x = 1

Hence, the value of x = 1 when the value of the function h(x) = 4.

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Answer:

x=1

Step-by-step explanation:

18x+3=21

  -3 = -3

18x= 18

18x/18 = 18/18

x= 1

Answer:

x = 1

Step-by-step explanation:

[tex]18x + 3 = 21\\18x = 21 - 3\\18x = 18\\18x/18 = 18/18\\x= 1[/tex]

Answer:

[tex]x=27, \quad x= \dfrac{1}{27}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{3.7 cm}\underline{Logs Laws}\\\\$\log_ba=\dfrac{\log_ca}{\log_cb}$\\\\\\$\log_ab=c \iff a^c=b$\\\end{minipage}}[/tex]

Given equation:

[tex]\log_3x=9\log_x3[/tex]

Change the base of  9logₓ3  to base 3:

[tex]\begin{aligned}\implies \log_3x & =9\log_x3\\\\& =\dfrac{9\log_33}{\log_3x}\\\\&=\dfrac{9(1)}{\log_3x}\\\\&=\dfrac{9}{\log_3x}\end{aligned}[/tex]

Therefore:

[tex]\implies \log_3x=\dfrac{9}{\log_3x}[/tex]

[tex]\textsf{Let }\log_3x=u:[/tex]

[tex]\implies u=\dfrac{9}{u}[/tex]

[tex]\implies u^2=9[/tex]

[tex]\implies u=\pm3[/tex]

[tex]\textsf{Substitute back in }u=\log_3x:[/tex]

[tex]\implies \log_3x=\pm3[/tex]

Case 1

[tex]\implies \log_3x=3[/tex]

[tex]\implies 3^3=x[/tex]

[tex]\implies x=27[/tex]

Case 2

[tex]\implies \log_3x=-3[/tex]

[tex]\implies 3^{-3}=x[/tex]

[tex]\implies \dfrac{1}{3^3}=x[/tex]

[tex]\implies x=\dfrac{1}{27}[/tex]

Answer: x=3   x=1/27

Step-by-step explanation:

[tex]log_3x=9log_x3\\[/tex]

The area of acceptable values:

[tex]x > 0\ \ \ \ x\neq 1\\Hence,\\x\in(0,1)U(1,+\infty)[/tex]

Solution:

[tex]\displaystyle\\log_3x=\frac{9}{log_3x} \ \ \ \ \ \boxed{ log_ab=\frac{1}{log_ba} }\\\\Multiply\ both\ parts\ of\ the\ equation\ by\ log_3x :\\\\log^2_3x=9\\log^2_3x=3^2\\ log_3x=б3\\\\log_3x=3\\\\x=3^3\\x=3*3*3\\x=27\\\\\\log_3x=-3\\x=3^{-3}\\\displaystyle\\x=(\frac{1}{3})^3\\ x=\frac{1}{3}*\frac{1}{3}*\frac{1}{3} \\ x=\frac{1}{27}[/tex]

Answer:

Step-by-step explanation:A. ​Solution:

So we know that Ann and Cammy are playing Chess, and Stephen is playing by himself, which would mean he is playing -ONE-player games. So we have Rake and Dora, when you see their names, it creates a word. Cammy, Ann, Rake, Dora, and Stephen.

                                                                                                                                          C           A      R        D              S

So Rake and Dora are playing cards. But what kind of cards? The ONE is spotlighted for clues, we have Spanish. So -ONE- in Spanish is UNO. If you search UNO, its a card game, TAAAAADDDDDDDDDAAAAAAAAA.

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer:

6.25years

Step-by-step explanation:

2000*4% = 80

500/80 = 6.25

6 years and 3 months