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?

Answers

Answer 1

Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.

Amount determination

Given that Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan, to determine, if Nolan has a total of 23 pens and pencils, and so does Fiona, the number of pens and pencils that either Nolan or Fiona has, the following calculation must be performed:

Pen = APencil = BN = 14A + 9B = 23 /// F = 3.5 + 19.5N = 12A + 11B = 23 /// F = 3A + 20BN = 20 A + 3 B = 23 /// F = 5 A + 18 B20 / 4 = 518 / 6 = 3

Therefore, Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.

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Related Questions

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

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 ASAP this practice is due tomorrow

Answers

Answer:

i think it's Z = 8,4

I'm not sure

Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?

Answers

Answer:

0.667

Step-by-step explanation:

The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.

A.
f(x) = x4 − 8x2 + 16

B.f(x) = −x4 + 5x2 − 4

C.f(x) = x3 + x2 − 4x + 4

D.f(x) = x4 − 5x2 + 4


Answers

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

Calculator
The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor

Answers

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]

Identify the correct Triangle Congruence Theorem that describes the figure below.



A. SSS
B. SAS
C. AAS
D. HL
E. ASA

Answers

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

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

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

SO,

it is S-S-S

side-side-side

The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is

Answers

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

Find the value of x.
30
30

Answers

Answer:

30

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

Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?

Answers

Answer:

$65/hr

Step-by-step explanation:

282.25 - 71 = 211.25

211.25 / 3.25

Can someone help me out?

Answers

Answer:

do I solve it or what am I supposed to do

Answer:

y=6

Step-by-step explanation:

why wont it let me say anything

Answers

Answer:

409

Step-by-step explanation:

786 + 32 = 818

818 ÷ 2 = 409

Solve the system by using substitution show work

2x - y = 5
x = y-1

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 6 , 7 ) ( 6 , 7 )
Equation Form:
x = 6, y = 7

I don’t know how to do this,someone please help,and explain maybe

Answers

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

Help please.
Algebra.

Answers

Answer:

7) C.

8) B.

should be the answers

Step-by-step explanation:

What's the square root of 689976??? Please help

Answers

the square root of 689976

= 222 (square root symbol) 14

decimal form:

830.64793986 . . .

Find the difference, radicals plz help:(

Answers

Answer:

-2 radical 5 the second one

what is the solution of x in 2-3(6-2x)=1/2(10x-8)

Answers

Answer:

answer is 12

....

.

.

...

.

. :-)))

The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?

Answers

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]

A new book store is selling new books for $16 a book and used books for $4.75 a book. A customer wants to purchase two new books and X used books what equation can be used to find y the total cost of all books the customer wants to buy?

Answers

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 ^-^

Please Help! Determine the measures of the missing sides and angles for the triangle

Answers

Answer

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

What is the slope of the line that passes through (4, 12) and (5, 16)?

Answers

The slope is 4/1 aka 4!

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)

the length of a rectangle is four times its width. if the perimeter of the rectangle is 70in, what would be its length and width...

Answers

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

help me someone:((!!!!!

a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?​

Answers

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

please help me! here’s a picture

Answers

Answer:

I would think the answer is 28?

im not really that sure

10.5 + 3.5 /2 i need help

Answers

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

what is the ratio of the area of the larger pizza to the area of the smaller pizza ? choices are 2,3,4, and 9 .

Answers

9/4
Area of larger/area of smaller is 2.25
9/4=2.25

Complete the equation of the line through (1,4) (2,2)

Answers

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

can someone please help me ​

Answers

Try and use Desmos if you still need help comments

Which table represents a nonlinear function?

Answers

Answer: c

Step-by-step explanation:

Please help, I don’t know how to solve this

Answers

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

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