A pen, a marker and pencil have a total length of 48cm. The pen is 1cm shorter than the marker which is 1cm shorter than the pencil. Calculate the length of each

Answers

Answer 1
Let P = pencil length, M = marker length and Pn = pen length.

We know that the sum of these lengths is 48 cm so:

P + Pn + M = 48 (Equation 1)

Now we need to use the relationships of the lengths to find 2 more equations:

Pn = M - 1 (Equation 2)
M = P - 1 (Equation 3)

Now, sub Equations 2 and 3 into the first equation and solve for the value of P, which is 17.

Next, use the value of P to find your M value and then finally use that M value to get your Pn value.

The final answer is: pencil length = 17cm, marker length = 16cm and pen length = 15cm.


Related Questions

A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?

Answers

Answer:https://youtu.be/QZ_a8VXhiSc?t=187

Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144

What is the area of this triangle?

Answers

Answer:

1/2bxh  (half a base times the height)

Step-by-step explanation:

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]

Which part of this graph shows a linear relationship?

Answers

Part 3 of the graph shows a linear relationship. This is because a line that is linear is a straight line and part 3 of the graph is the only straight line. Hope this helps!

Answer:

It would be D

Step-by-step explanation:

During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____

Answers

Answer:

$0.15

Step-by-step explanation:

Cost of electricity = xCost of gas = y

Based on the given, we have equations:

300x + 120y = 114290x + 150y = 115.30

Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:

30*(290x) -  29(300x) + 30(150y) - 29(120y) =30(115.3) -  29(114)4500y - 3480y = 1531020y = 153y = 153/1020y = 0.15

The cost per unit of gas is $0.15

Can someone please me

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

area of triangle with
width= 18cm
breadth=14cm
height=11cm

Answers

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

Brayden purchased a new car in 1995 for $ 20 , 000 $20,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $ 6 , 800 $6,800 in the year 2000, then what would be the predicted value of the car in the year 2006, to the nearest dollar?

Answers

Answer:

$1863

Step-by-step explanation:

The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].

r is the depreciation rate (which can be found first)

t is the time since the initial purchase

y is the value of the car at time t

[tex]y_0[/tex] is the initial purchase price (t = 0)

Year 0 is 1995.

2000 is year 5.

So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]

To solve for r take the logarithm of both sides.

[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]

Now find the value of the car in 2006, which is year t = 11.

[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]

Which equation represents the graph ?

Answers

Answer:

The equation of the line is;

y + 4 = 3(x + 4)

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the equation, let us look at the given intercepts

We have the intercepts at the point (0,5) and (-2,-1)

We have the slope of the line as follows;

m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3

So we have the equation as;

y = 3x + b

recall, we have the y-intercept as 5

so the complete equation is;

y = 3x + 5

Now, we can rewrite this as;

y+ 4 = 3(x + 3)

D + -4 = 12
how do i find d?​

Answers

Answer: D=16

Add 4 to both sides

D=16

Answer:

Answer: 16

Step-by-step explanation:

Do 12 -(-4 to get D

12 -(-4 = 16

PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

Notes for proportional relationships can you give me notes to write down lol

Answers

Answer:

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

Answers

Question

In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and

a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for

a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

Step-by-step explanation:

John can play 12 songs on the guitar and he
learns 1 new song each week. Aiden can play 4 songs.
but he learns 2 each week. How many weeks (w) will it
be before Aiden knows as many songs as John?

Answers

Answer:

8 weeks

Step-by-step explanation:

Let

w = number of weeks

John = 12 + w

Aiden = 4 + 2w

How many weeks (w) will it be before Aiden knows as many songs as John?

Equate both John and Aiden expression

John = Aiden

12 + w = 4 + 2w

Collect like terms

12 - 4 = 2w - w

8 = w

w = 8 weeks

It will take 8 weeks before Aiden knows as many songs as John

36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?

a) 17
b) 30
C) 15
d) 8

Answers

Answer:

you correct answer should be 17

Awnser question and show your work if you can (i will give brainliest

Answers

Answer:

answer is -1.75

Step-by-step explanation:

[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]

Twenty boxes of paper weights 460 pounds. What is the ratio of boxes to pounds?​

Answers

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23

HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10

Answers

Answer:

The interquartile range is 5

You have 160 songs on your playlist. The probability of randomly choosing a rock song is 30%. How many of the songs on your playlist are not rock songs?

A. 48
B. 112
C. 30%

Answers

Answer:

Hello! Answer: B

Step-by-step explanation:

Because 112 is 70% of 160

The answer is A. 48

looked it up.

A) Work out the size of angle x. B) Give reasons for your answer.

Answers

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

Find the difference:
5 2
7 7​

Answers

If your referring to a Fraction which would be 5/7 and 2/7 the difference is 2/7 is not greater than 5/7 because to get the answer you convert each fraction into decimal numbers. We do this by diving the numerator by the seminar or for each fraction.

As you see here this is an example:

2/7=0.286
5/7=0.714

Then compare the two decimal numbers to get the answer. 0.286 is not greater than 0.714. Which means

2/7<5/7

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

What is the missing number 30 ÷ 10 = 30 · ?
Please helpppppp

Answers

Answer:

hi

Step-by-step explanation:

i think it is 1/10

hope it helps

have a nice day

Please show the work as well 5TH GRADE MATH

Answers

Answer:

[tex]9450 {m}^{3}[/tex]

Step-by-step explanation:

Given ,

Length of the tank = 27m

Width of the tank = 35m

Depth of the tank = 10m

Therefore,

Volume of the tank = Length × Width × Depth

= 27m × 35m × 10m

[tex] = 9450 {m}^{3} (ans)[/tex]

Answer:

9450

Step-by-step explanation:

volume = length x width x height=27 x 35 x 10

Uhhh what?

A. 120
B. 30
C. 90
D. 45

Answers

C.90 bc it’s a right angle
The answer is c 90 degrees big daddy

Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?

Answers

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

please help me graph the equations y=3x and 6x+2y=12

also please tell me the coordinates

Answers

Answer:

The coordinates are x=1 y=3

Step-by-step explanation:

Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?

Answers

Answer:

805.05333.....

Step-by-step explanation:

To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]

but since 20.7 is not the height then you would need to find it

So imagen a line down the very middle of the pyramid

and connect that with the 20.7in line then connect it again and that makes a triangle.

So there is a formula and it is a²+b²=c²

in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7

a²+5.5²=20.7²   --->   428.49-30.25=a²   --->398.24=a²  --->19.955951.....=a

11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....

Answer:

volume = 805.05 in³

Step-by-step explanation:

Here's my calculations.

first, finding the true height (not the slope length):

using the Pythagorean theorem:

height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24

height = √398.24 = 19.96 in

base = 11 x 11 = 121

volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³

WILL GIVE BRAINLIEST!!


Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000

Answers

Answer:

Letter C

Step-by-step explanation:

trust me its right!

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?

Answers

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm

please answer question 5 on the picture tysm xx

Answers

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Tony bought 48 roses for $24. How much do 24 roses cost?

Answers

Answer:

$12.

Step-by-step explanation:

48 divided by $12 = $12.

Please mark brainiest thank you

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