the difference of the product of 3 and 6 minus the quotient of 6 divided by 2​

Answer:

Step-by-step explanation:

Final answer:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex]. Using fraction strips, 4 members each getting [tex]\frac{1}{6}[/tex] of the tomato equals [tex]\frac{2}{3}[/tex] of the total tomato.

Explanation:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex].

We can represent this using fraction strips. If Mark slices 4 members of his family, each getting [tex]\frac{1}{6}[/tex] of the tomato, we can visually represent this as Dividing the fraction strip into 6 equal parts. Shade in 1 part of the strip, representing [tex]\frac{1}{6}[/tex] of the tomato.

If Mark slices 4 members, he will slice 4 times [tex]\frac{1}{6}[/tex], which equals [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex] of the tomato.

Answer: 9 cards

Step-by-step explanation:

x=27

3/9x = 1/3x = 27/3 = 9

Answer:

7

Step-by-step explanation:

Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.

Answer:

B) y=1/4x

Step-by-step explanation:

Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.

Answer:

the son had $20 and the father had $200

Step-by-step explanation:

20 x 10 = 200

200 + 20 = 220

Cant be 22, Ah, 20!

Because 20 Times 10 is 200, and you add the 20 and you get 220!

Graph of |x| = 2 is two vertical lines symmetric about the y-axis, intersecting x-axis at (2, 0) and (-2, 0).

The equation |x| = 2 represents two parallel vertical lines symmetrically positioned about the y-axis. These lines intersect the x-axis at points (2, 0) and (-2, 0), indicating the absolute value of x being equal to 2. The graph exhibits symmetry with respect to the y-axis, forming a V-shape.

It conveys that any value of x, whether positive or negative, yielding an absolute value of 2 satisfies the equation. The graph emphasizes the notion that the distance of x from the origin is fixed at 2 units, illustrating a clear geometric representation of the absolute value function.

Answer:

g(x) is translated six units down from f(x).

Step-by-step explanation:

f(x ± k) is for a horizontal translation. So that rules out the first two.

f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.

The best description of the graph of g (x) with respect to the graph of

f (x) will be;

''g (x) is translated 6 units down from f (x)''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The functions are,

⇒ f (x) = 3/4 x

And, g(x) = (3/4)x - 6

Now,

Since, We know that;

The function f (x) after the translation 'a' unit down, so we get the new function,

⇒ g (x) = f (x) - a

Here, The function g (x) is translation of f (x).

Thus, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''

Therefore, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''.

Learn more about the translation visit:

https://brainly.com/question/1046778

#SPJ2

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

y = -1/3x + b

5 = -1/3(9) + b

5 = -3 + b

8 = b

So the equation is y = -1/3x + b

Answer:

y = -1/3x + 2

Step-by-step explanation:

I dont know who verified the other guy but he is wrong

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

------------------

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2

Answer:

m² + 8m + 7 = (m + 1) (m + 7)

m² – 6m + 8 = (m – 2) (m – 4)

Step-by-step explanation:

If a trinomial ax² + bx + c is "factorable", you can use the AC method.

1. Multiply a and c.

2. Find factors of ac that add up to b.

3. Divide the factors by a and reduce.

4. The numerators are the constants, the denominators are the coefficients.

For example:

m² + 8m + 7

a = 1, b = 8, c = 7

1. ac = 1×7 = 7

2. Factors of 7 that add up to 8 are 1 and 7.

3. Divide by 1: 1/1 and 7/1

4. The factors are (m + 1) and (m + 7).

Therefore, m² + 8m + 7 = (m + 1) (m + 7).

Let's try one with a negative coefficient:

m² – 6m + 8

a = 1, b = -6, c = 8

1. ac = 1×8 = 8

2. Factors of 8 that add up to -6 are -2 and -4.

3. Divide by 1: -2/1 and -4/1

4. The factors are (m – 2) and (m – 4)

Therefore, m² – 6m + 8 = (m – 2) (m – 4).

You can check your answers by distributing.

Final answer:

The system of linear equations x + y = 75 and 10x + y = 48 is solved using the elimination method, resulting in the solution x = 3 and y = 72.

Explanation:

The student is given a system of two linear equations:

To solve this system, we can use the method of elimination or substitution. Here, elimination appears to be the more straightforward method. We'll subtract the second equation from the first to eliminate the variable y, as they both have the same coefficient in y. Subtracting the second equation from the first gives us:

9x = 27

Solving for x, we find:

x = 27 / 9 = 3

Now that we have the value for x, we can substitute it back into either of the original equations to find the value for y. Substituting into the first equation:

3 + y = 75 => y = 75 - 3 => y = 72

So the solution to the system is x = 3 and y = 72. This method remains effective even with the advent of computer algebra methods and Mathcad.

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

Answer:

Distance between the points (3, 12) and (14, 2) is 14.8661

Step-by-step explanation:

Distance between two points = √(xB−xA)^2+(yB−yA)^2

Solution :

Distance between two points = √(14−3)^2+(2−12)^2

= √11^2+(−10)^2

= √121+100

= √221 = 14.8661

The distance required for a speed 59 mph is 243.67 feet

Step-by-step explanation:

The direct variation is a relation ship between two quantities, the

ratio between them is constant

∵ The distance it takes stop a car varies directly at the square

   of the speed of the car

∴ d = k v², where d is the distance in feet and v is the speed in mph

∵ it takes 112 feet for a car traveling at 40 mph to stop

∴ d = 112 feet , v = 40 mph ⇒ initial values

- Substitute these values in the rule above to find k

∵ 112 = k (40)²

∴ 112 = 1600 k

- Divide both sides by 1600

∴ k = 0.07

∴ d = 0.07 v² ⇒ equation of variation

∵ The speed v = 59 mph

- To find the distance required for this speed substitute v in

   the equation of variation by 59

∵ d = 0.07 (59)²

∴ d = 243.67 feet

The distance required for a speed 59 mph is 243.67 feet

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

Applying the direct variation formula between the speed and stopping distance of a car, we deduce that a car traveling at 59mph would require approximately 245 feet to stop.

In this problem, we use the relation that the distance it takes to stop a car varies directly with the square of the speed- this is an example of a direct variation. Given the initial condition we can establish an equation to relate the speed and the stopping distance: D = kV² where D represents the stopping distance, V is the speed, and k is a constant of variation.

First, we utilize the given information (D=112 feet and V=40 mph) to determine the constant k: 112 = k(40²), yielding k = 112/(40²) = 0.07. This factor remains constant for the car irrespective of its speed.

With the constant k determined, we then substitute V=59 and the constant k into our original equation to calculate the distance required to stop at this speed: D = 0.07*(59²), resulting in D approximately equal to 245 feet. Therefore, a car traveling at 59 mph would require approximately 245 feet to stop.

https://brainly.com/question/9775007

#SPJ3

Good evening ,

Answer:

35+7x = 63

Step-by-step explanation:

35+7x = 63

then 7x = 63 - 35

then 7x = 28

then x = 28/7

then x = 4.

:)

The equation would be y = 3x+2

Here's an explanation:

Let y represent the length of the baby flower in total, and let x represent the number of months that have passed. Since the flower grows at a rate of 3 inches every month, then for x number of months, it would grow 3 times x, which is 3x. The problem also tell us that the flower is already 2 inches tall, which now makes it 3x+2. So the total length is equal to 3x + 2 inches, so the equation would be y=3x+2

Answer:

7 games

Step-by-step explanation:

First Person:

Fixed Cost of 99.26

Variable Cost of 4.50 per game (program cost)

Second Person:

No Fixed Cost

Variable cost of 18.68 per game (ticket cost)

Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:

First Person Equation:

99.26 + 4.50x

Second Person Equation:

18.68x

Now, equate and solve for x:

99.26 + 4.50x = 18.68x

99.26 = 18.68x - 4.50x

99.26 = 14.18x

x = 99.26/14.18

x = 7

So, the answer is 7 games

Answer:

-37

Step-by-step explanation:

-5(6) - 7

= -30-7

= -37

Hope this helps!

Answer:

-37.

Step-by-step explanation:

The order of operations is given by PEDMAS.

ParenthesesExponentsDivideMultiplyAddSubtract.

- 5 x 6 - 7:

Multiplication is done before Subtraction:

= -30 - 7

= -37.

Answer:

3x + 2y = 17

2x + 5 y = 26

Step-by-step explanation:

3x + 2y = 17 }

2x + 5 y = 26}

x - 3y = - 9

x = -9 + 3y

=> 2 (-9+3y)+5y=26

-18+6y+5y=26

-18+11y=26

11y=26+18

11y=44

y= 4

3x + 8=17

3x = 17 - 8

3x = 9

x = 9 : 3

x = 3

Final answer:

By using the elimination method to solve the system of equations, we found that the solution is x = 3 and y = 4 after eliminating y, solving for x, and then substituting x back into one of the original equations to solve for y.

Explanation:

Elimination Method: Solving the System of Equations

To solve the system of equations using the elimination method, we will manipulate the equations to eliminate one variable and solve for the other. The two equations given are:

3x + 2y = 17

2x + 5y = 26

We want to eliminate one of the variables. To do this we find a common multiple for the coefficients of either x or y and then subtract or add the equations. Let's eliminate y by multiplying the first equation by 5 and the second equation by 2, which will give us equations with the same coefficient for y but opposite signs:

5(3x + 2y) = 5(17)

2(2x + 5y) = 2(26)

Now, our two new equations are:

15x + 10y = 85

4x + 10y = 52

Subtract the second new equation from the first:

(15x + 10y) - (4x + 10y) = 85 - 52

11x = 33

Solving for x:

x = 33 / 11

x = 3

Now that we have the value for x, substitute it back into one of the original equations to find y. Let's use the first original equation:

3(3) + 2y = 17

9 + 2y = 17

2y = 17 - 9

2y = 8

y = 8 / 2

y = 4

The solution to the system of equations is x = 3, y = 4.

Answer:

Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.

Step-by-step explanation:

Answer:

42 but with no 0

Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

Answer:

The difference between their weekly earning is $(1097.25 - 926.25) = $171.

Step-by-step explanation:

In 7 hours Bri has 13 clients and he earns $14.25 per client.

So, in 35 hours working in a week, Bri will get [tex]\frac{13 \times 35}{7} = 65[/tex] clients and he earns $(14.25 × 65) =$926.25 from his clients.

Again, in 5 hours Ali has 11 clients and he earns $14.25 per client.

So, in 35 hours working in a week, Bri will get [tex]\frac{11 \times 35}{5} = 77[/tex] clients and he earns $(14.25 × 77) =$1097.25 from his clients.

Therefore, the difference between their weekly earning is $(1097.25 - 926.25) = $171. (Answer)

$(1097.25 - 926.25) = $171  in 7 hours bri has 13 clients and he earns $14.25 per client in 5 hours ali has 11 clients and he earns $14.25 per client. the difference between their weekly earnings is 1097.25 - 926.25 = $171.

Answer:

Yes

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]

If we say u = √n, then:

[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]

This is a geometric series.  Since |1/e| < 1, the series converges.

To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams, which is approximately 1.32 pounds.

To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams. So, 600 grams ÷ 453.6 = 1.3228 pounds. Therefore, the weight of the box of cereal is approximately 1.32 pounds.

Answer:

Solution: [tex]x=-\frac{1}{5}[/tex],[tex]x=0[/tex]

Step-by-step explanation:

Given:

The rational equation to solve is given as:

[tex]\frac{x}{6}=\frac{x^2}{x-1}[/tex]

Doing cross product, we get:

[tex]x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}[/tex]

Now, for [tex]x=0[/tex], the rational equation is equal to 0. So, [tex]x=0[/tex] is a solution.

Also, [tex]x=-\frac{1}{5}[/tex] is also a solution.

So, no extraneous solution.

Answer:

Lacy is 14 and Jack is 56

Step-by-step explanation:

Answer:19.25

Step-by-step explanation:

Answer:

9⅝cm²

Step-by-step explanation:

So the formula is

A=1/2bh

A=1/2(5 1/2)(3 1/2)

Turn to improper so it'll be easier

A=1/2(11/2)(7/2)

A=11/4(7/2)

A=77/8

a=9 5/8 cm²

your welcome

Answer:

12

Step-by-step explanation:

The perimeter of an equilateral triangle is 12 unit.

Let us consider that, each side of equilateral triangle is a . Because in equilateral triangle each sides are equal in length.

Apply Pythagoras theorem,

            [tex](2\sqrt{3} )^{2}+(\frac{a}{2} )^{2}=a^{2} \\\\12+\frac{a^{2} }{4} =a^{2}\\\\a^{2}-\frac{a^{2} }{4} =12\\\\\frac{3}{4}a^{2}=12\\\\a^{2}=16\\\\a=4[/tex]

 The perimeter of an equilateral triangle = [tex]3*a[/tex]

                                                                  = [tex]3*4=12unit[/tex]

Learn more:

https://brainly.com/question/16251591

Answer:

Rational Numbers

Step-by-step explanation:

A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.

Answer:

"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.

Step-by-step explanation:

rational numbers are by far the most reasonable description.   The circumference of the human head certainly is not always an integer or whole number.

For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number. 

hope this helps you

if this is correct can you give me the brainliest

Answer:

The missing side “x” is 2.

Step-by-step explanation:

From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.

Let the triangles be ∆ABC and ∆DEF

[tex]\Delta A B C \sim \Delta D E F[/tex]

From similarity of triangle rule the sides,

[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]

Given that,  

AB = x, DE = 8, BC = 4 and EF = 16

[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]

[tex]\frac{x}{8}=\frac{4}{16}[/tex]

[tex]\frac{x}{8}=\frac{1}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

x = 2

Therefore, we found the missing side x = 2

Answer: Its 8 hours a day.

              56/7=8hours