Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan. If Nolan has a total of 23 pens and pencils, and so does Fiona, which of these is a number of pens or a number of pencils that either Nolan or Fiona has?

The slope- intercept form of the equation of a line is : y = mx + b

The slope is represented by m and the y-intercept is represented by b.

You can use the coordinates of the two points to find the slope:

m = (y 2 - y 1)

 (x 2 - x 1)

For this problem:

m =   (4 - 2 ) =   2  

(1 - 2)     -1

To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:

y = mx + b

y = -2 • x + b

Using (1,4):

4 = -2 • 1 + b

4 = -2 + b

b = 6

The equation of the line will be :  y = -2•x + 6

Answer:

12.25

Step-by-step explanation:

Remember PEMDAS!!

You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.

P = ( )

E = exponents

M/D = Multiply/Divide

A/S = Add/Subtract

Answer:

10.5 + 3.5

---------------    =  7

       2

Answer:

-2 radical 5 the second one

Answer:

i think it's Z = 8,4

I'm not sure

Answer:

Answer is D

Step-by-step explanation:

Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2

Only the function on option D works, so the answer is D

16 + 16 = 32

X * 4.75 = ?

32 + X = Y

You would add 16 plus 16 because there are TWO new books being bought, you multiply however many used books there are (X) by 4.5 then add that answer to 16+16, solve that, and you have your answer = Y

Hope this helps ^-^

Answer:

I would think the answer is 28?

im not really that sure

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

4L + 8S = 197

Multiplies the top equation by -2.

-4L + -6S = -166

4l  + 8S = 197

Adding them together...

2S = 31

S = 31/2 = 15.5

Plugging into the first equation:

 2L + 3S = 83

 2L + 3(15.5) = 83

2L + 46.5 = 83

2L = 83 - 46.5

2L = 36.5

L = 36.5/2 = 18.25

check:

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

The Large box weighs 18.25

The small box weighs 15.5

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

Answer:

[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):

3 = -12k

Solving for k:

[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]

Thus, the corresponding equation is:

[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]

Answer:

$65/hr

Step-by-step explanation:

282.25 - 71 = 211.25

211.25 / 3.25

Answer:

[tex]P(x) = 3x - 10[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 5x[/tex]

[tex]C(x) = 10 + 2x[/tex]

Required

Determine [tex]P(x) = (R - C)(x)[/tex]

In functions;

[tex](f - g)(x) = f(x) - g(x)[/tex]

So, we have:

[tex]P(x) = (R - C)(x)[/tex]

[tex]P(x) = R(x) - C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]P(x) = 5x - (10 + 2x)[/tex]

Open bracket

[tex]P(x) = 5x - 10 - 2x[/tex]

Collect Like Terms

[tex]P(x) = 5x - 2x- 10[/tex]

[tex]P(x) = 3x - 10[/tex]

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

[tex]\tt{PQ=TS }[/tex]

[tex]\tt{ PW=TW }[/tex]

[tex]\tt{ QW=SW }[/tex]

SO,

it is S-S-S

side-side-side

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Answer:

409

Step-by-step explanation:

786 + 32 = 818

818 ÷ 2 = 409

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

Answer:

30

.......................

Answer:

7) C.

8) B.

should be the answers

Step-by-step explanation:

Answer:

do I solve it or what am I supposed to do

Answer:

y=6

Step-by-step explanation:

Answer:

0.667

Step-by-step explanation:

Answer:

answer is 12

....

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.

...

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. :-)))

Answer:

length- 28 width- 7

Step-by-step explanation:

7 times 4 is 28, so 28 times 2 is 56, 7 times 2 is 14, 56+14 is 70

Answer

Estoy triste y nadie me quiere. Y nadie habla español en brainly.com.

Answer: c

Step-by-step explanation:

Answer:

I can explain. look at variables (letters) ..7,2,3 in back of numbers. With this numbers it's an x. In front of 7x its a - or +. It tells you to either subtract or add...7x°-2x°+2x°-3. Start with 7x minus 2°, minus 2°, plus two & at end subtract 3