Miss teng, a school teacher, usually walks at a speed of 0.5 m/s for y km to reach her school on time. On one cloudy day, she decided to walk the y km at a faster speed of w m/s in case it rained. If she reached her school 5 minutes earlier than usual, calculate y.

[tex]\left\{\begin{array}{ccc}2y+x=-17\\5x-4y=-15\end{array}\right\\\\\left\{\begin{array}{ccc}x+2y=-17&\text{multiply both sides by 2}\\5x-4y=-15\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+4y=-34\\5x-4y=-15\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x=-49\qquad\text{divide both sides by 7}\\.\qquad\boxed{x=-7}\\\\\text{Put the value of x to the first equation:}\\\\2y+(-7)=-17\\2y-7=-17\qquad\text{add 7 to both sides}\\2y=-10\qquad\text{divide both sides by 2}\\\boxed{y=-5}\\\\Answer:\ \boxed{x=-7\ and\ y=-5\to(-7,\ -5)}[/tex]

Everything looks good, but I would write LJ = LJ (or JL = JL) for line e just so it's clear you're talking about the same line segment.

Though to be fair, JL is the same as LJ so it really doesn't matter. I guess it will depend on how picky your teacher is.

Also, I almost forgot, but line c should have angle markers so that your teacher knows you are talking about two angles.

The first graph is the correct answer.

Answer:

The first graph which intersects (0,2)

Step-by-step explanation:

Let's get this equation into slope-intercept form, which looks like:

[tex]y=mx+b[/tex]

-x + y =2

Add x to both sides.

y = x + 2

Using information from the slope-intercept form, we can find its slope and y-intercept.

It's slope is 1, because m (which is 1 being multiplied by x) is attached to x. The y-intercept is (0,2) because when you plug in x = 0, y = 2.

From this, we can determine this equation is the first graph, because it's the only one that intersects the point (0,2).

Answer:

13 Boxes with $41 left over

Step-by-step explanation:

600/43 = 13.6

43 x 13 = 559

600 - 559 = 41

Answer:120

Step-by-step explanation:

20 multiplied by 6 is 120 since 2 times 6 is 12 and add a zero.

The cabinetmaker will need a total of 120 screws to install all 20 cabinet doors.

To find out how many screws will be needed to install 20 cabinet doors, with 6 screws needed for each door, you can use the following calculation:

Number of screws per door x Number of doors = Total number of screws needed

6 screws/door x 20 doors = 120 screws

Answer:

-2

Step-by-step explanation:

First, you have to find the slope.

Rise           1

-------   =   ------  = 1

Run            1            

So, the slope is 1.

Next, if you write the graph in the slope intercept from, then it will be,

y=mx+b

y=1x+-3

We already know that x is 1 So,

y=1(1)+-3

y=-2

So, the answer is -2! Hope this helps!!!

Answer:

When x = 1 ,  y = -2.

Step-by-step explanation:

I'm assuming you want the equation of this line.

The 2 points close together are (0, -3)  and (-1, -4).

Slope =  (y1-y2) / (x1 -x2)

= (-4-(-3)) / (-1 - 0)

=  -1 / -1 = 1

The  y-intercept is where y = -3.

The equation of a straight line is y = mx + c where m = the slope and c = the y-intercept, so the equation of this line is  y = 1x - 3

or y = x - 3 (the 1 may be omitted).

When x = 1, y = 1 - 3 = -2 (answer)

Answer:

n = 4

Step-by-step explanation:

      3ⁿ⁺¹ - 3ⁿ⁻¹ = 216     Separate exponents

3ⁿ×3¹ - 3ⁿ×3⁻¹ = 216     Factor

     3ⁿ(3 – ⅓) = 216

         3ⁿ(8/3) = 216     Multiply each side by 3/8

                3ⁿ = 81        Factor 81

               3ⁿ = 3⁴         Compare exponents

                n = 4

=====

Check:

    3⁵ - 3³ = 216

243 – 27 = 216

        216 = 216

The fencing needed is equal to the perimeter and will be 5x + 56.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle.

Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = Sum of all the sides

If the gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will need twice as much fencing to enclose the garden.

From the diagram, the length is 28 + x. And the width is x. Then the perimeters of the rectangle will be

P = 28 + x + 28 + x + x + x + x

P = 56 + 5x

The fencing needed is equal to the perimeter and will be 5x + 56.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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Answer:

13 Boxes with $41 left over

Step-by-step explanation:

$600/$43 = 13.9  (so she can buy 13 boxes of light fixtures)

$43 x 13 = $559

$600-$559=$41 left over

KBPS is larger than MBPS.

1 KBPS =  0.001 MBPS

kbps - kilobytes per second

Mbps - megabytes per second

M - mega is 10⁶ times more

k - kilo is 10³ times more

Therefore 1Mbps is bigger than 1kbps

Answer:

4x = 44 which is Carolyn's share.

Step-by-step explanation:

Equation

Use a variable to find out how the sum of the ratios would be divided up to make 77 dollars.

4x + 2x + x = 77          Combine like terms on the left            

Solution

7x = 77                        Divide by 7

7x/7 = 77/7                  Do the division

x = 11

Answer

4*11 =  44 which is Carolyn's share

2*11 = 22 which is Julia's Share

1*11 = 11  which is Roberta's share.

The expression for [tex]\(b - a\) is \(0\)[/tex].

To find the expression for [tex]\(b - a\)[/tex], we can use the given equation [tex]\(a + b = 2a\)[/tex] and solve for [tex]\(b\).[/tex]

Starting with [tex]\(a + b = 2a\)[/tex], we can subtract [tex]\(a\)[/tex] from both sides to isolate [tex]\(b\):[/tex]

[tex]\[b = 2a - a\][/tex]

[tex]\[b = a\][/tex]

Now, we can substitute [tex]\(b = a\)[/tex] into the expression [tex]\(b - a\):[/tex]

b - a = a - a

b - a = 0

Therefore, the expression for [tex]\(b - a\) is \(0\)[/tex].

Answer:

Alright well solve for y by simplifying both sides of the equation then isolating the variable

Exact form: y = - 13/2

Decimal form: y = - 6.5 Hope this helps have a nice day :)

Step-by-step explanation:

[tex]\bf -5x+2\geqslant -48\implies -5x \geqslant -50\implies \stackrel{\textit{now, we're dividing by -5}}{\cfrac{-5x}{-5}\stackrel{\stackrel{\downarrow }{\frac{}{}}}{\leqslant}\cfrac{-50}{-5}}\implies x\leqslant 10[/tex]

Answer:

The answer is 568.76 if u want rounded and 568.76015

Step-by-step explanation:

Because when you multiply them you get the answer. Much easier if you line them up.

Plzzz give thanks and give brainlest

Answer:

13 units

Step-by-step explanation:

Given points (10,–7)  and (5,5)

To find distance between points we apply distance formula

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

(x1,y1) is (10,–7)   and (x2,y2) is (5,5)

Plug in the values in the formula

[tex]D = \sqrt{(5-(-7))^2+(5-10)^2}[/tex]

[tex]D = \sqrt{(12)^2+(-5)^2}[/tex]

[tex]D = \sqrt{(144+25)}[/tex]

[tex]D = \sqrt{169}[/tex]

D= 13

Answer:

x = z = 45°, y = 90°

Step-by-step explanation:

This is an isosceles triangle ( given 2 equal sides )

Hence x = z ( base angles )

z and 135° form a straight angle and are supplementary

z = 180° - 135° = 45°

hence x = z = 45°

the sum of the 3 angles in the triangle = 180°

To find y subtract the sum of x and z from 180

y = 180° - (45 + 45)° = 180° - 90° = 90°

78.9 in word form is, seventy-eight and nine tenths!

Hope that helped!

Seventy eight point 9 billion, i'm assuming?

Hopefully i helped you, and sorry if i'm wrong at all :(

Answer:

1. one pint is about $4.00

2. you get 1/4th of a pint per dollar

3. you get 4 1/2 pints

Step-by-step explanation:

Answer:

I think that the answer is 50 because 100 divided by 2 equals 50

Step-by-step explanation:

Answer:

The answer is 200 words a minute

Step-by-step explanation:

1/2 of a minute = 30 seconds, 60 seconds are in a minute

60/30 = 2

100*2

200 words per minute

Answer: that would be 76% hope that helps

Step-by-step explanation:

The price of the 60-inch television decreased by 24%. This was determined by subtracting the sale price from the original price, dividing by the original price, and multiplying by 100.

To calculate the percent decrease in the price of the television, we need to find the difference in the original price and the sale price, then divide that by the original price, and multiply by 100 to get the percentage.

Original Price: $1050

Sale Price: $798

So, the difference is $1050 - $798 = $252

The percent decrease is ($252 / $1050) * 100 = 24%. So, the price of the 60-inch television decreased by 24%.

https://brainly.com/question/14808025

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Answer:

x=2

Vertex (2,-8)

Intercepts: 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex

Domain:  all real numbers

Range: y>= -8

Step-by-step explanation:

y= 3x^2 -12x+4

To find the axis of symmetry, we use the formula

h= -b/2a  where ax^2 +bx+c

h = -(-12)/2*3 = 12/6=2

The axis of symmetry is x=2

The x coordinate of the vertex is at the axis of symmetry. To find the y coordinate, substitute x into the equation

y= 3(2)^2 -12(2) +4

y = 3*4-24+4

  = 12-24+4

  = -8

The vertex is at (2,-8)

We can use the quadratic formula to find the x intercepts

x = -b ±sqrt(b^2-4ac)

    -----------------------

           2a

  =  12 ± sqrt(12^2 - 4*3*4)

  ---------------------------------

    2*3

=   12± sqrt(144-48)

 ----------------------

  6

= 12±sqrt(96)

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

6

=2 ±1/6 * 4sqrt(6)

= 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex.

The domain is the values that x can take.

X can be all real numbers

The range is the values that y can take.  Since there is a minimum, y must be greater than that minimum

Range: y>= -8

Answer:

y>= -8

Step-by-step explanation:

Answer: 6.27 or 6.3

Step-by-step explanation: 4 1/5 ÷ 2/3 can be changed to a multiplication problem by using the reciprocal of the second fraction: 3/2

Multiply 4 1/5 by 3/2 = 6.3

Answer:

I think that the answer is 63/10

Step-by-step explanation:

Answer:

A) 16

Step-by-step explanation:

g= green apple

c= cinnamon

s= spearmint

74=g+c+s

g=2s

g-6=c

so we can replace c in the equation

74=g+g-6+s (because c=g-6)

we can also replace g in the equation

2s+2s-6+s=74 (because g=2s)

so, 5s-6=74 (add 6 to both sides)

5s=80 (divide by 5)

s=16

Answer: Hello there!

Let's define G has the number of packs of green apple, S as the number of packs of spearmint, and C as the number of packs of cinnamon.

Now we want to know the number of spearmint gum packs that Janice buys:

We know that:

G + S + C = 74

G = 2S

G - C = 6

Now we have a system of 3 equations and 3 variables, let's solve it.

In the second equation we can remove G of the equations, and replace it in the first and third equation:

G + S + C = 74

2S + S + C = 74

3S + C = 74

and

G - C = 6

2S - C = 6

Now we only have two equations, lets isolate C in the second equation

2S - C = 6

C = 2S - 6

now we can replace it in the first equation, and solve it for S

3S + C = 74

3S + 2S - 6 = 74

5S = 74 + 6 = 80

S = 80/5 = 16

She buy's 16 packs of spearmint gum.

Answer:

D) linear increasing

Step-by-step explanation:

This graph is a straight line.  This means it is a linear function.

As the values of x increase, the values of y increase as well.  This means it is an increasing function.

This makes it a linear increasing function.

Answer:

9x^2

Step-by-step explanation:

Each of the coefficients can be divided by nine. You can factor each of them to show what the results would be.

The bolded part is what is common to each of them.

The highest common factor in all three that's a variable is x^2. You cannot take any more than that out of the three terms.

So the answer would be

9x^2

The HCF that can be taken out of the polynomial and the left over of the polynomial is

9x^2 ( 2x^2 - 3x - 4) This is not your answer but it helps you see what the answer means.

There is an infinite number of such pairs. Even if you consider just the integers, there is still an infinite number of pairs. If you limit the number in the pairs to whole numbers, then here are the pairs:

0, 18

1, 17

2, 16

3, 15

4, 14

5, 13

6, 12

7, 11

8, 10

9, 9

Whether using mental math to recognize the proximity of 12x49 to 12x50 or applying the distributive property, both methods yield the result 588 for the multiplication of 12 and 49.

Method 1: Using mental math:

Recognize that 12x50 = 600, a number that many people find easier to work with mentally.

Since 49 is one less than 50, 12x49 is essentially one group of 12 less than 12x50.

Therefore, simply subtract 12 from 600: 12x49 = 600 - 12 = 588.

Method 2: Using the distributive property:

Recall the distributive property: a(b + c) = ab + ac. In this case, a = 12, b = 50, and c = -1 (since 49 is 1 less than 50).

Apply the distributive property: 12(50 - 1) = 12 * 50 + 12 * (-1).

Simplify: 12x49 = 600 - 12 = 588.

Therefore, regardless of the method you choose, 12x50 serves as a stepping stone to calculating 12x49 by either providing a familiar reference point (600) or allowing you to leverage the distributive property.

Answer: D, Y, X

Step-by-step explanation:

The (salad, sandwich) coordinates are as follows:

A: (0, 10)

B: (1, 8)

C: (2, 6)

D: (3, 4)    MOST EQUAL AMOUNTS

E: (4, 2)

F: (5, 0)

X: (4, 8)    OUTSIDE OF THE PRODUCTION LINE

Y: (1, 3)     UNDER THE PRODUCTION LINE

Answer:

Step-by-step explanation:

Given is a graph showing the salads produced on x axis and sandwiches produced on y axis.

The straight line ABCDEF shows the points on the straight line and Y is below the line and X is above the line.

On the line there is no point where x=y exactly.

But approximately nearer at the point where x=3 and y =4 So (3,4) is the point where most equal number are produced

2) Y is below the line meaning that resources are not utilized effectively

3) X is not possible as it is beyond the firm's capacity level shown by line ABCDEF.