Mathematics High School

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

Hey guys I need help with a question.

Please come I am offering 30 points for the question.

(No links or I will report)

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

How do you solve this proof?

Answers

Answer:

Angle = A

A7 = A4 (Alternate interior angles)

A14 = A11 (Vertically opposite angles)

A11 = A6(Corresponding angles)

A4 = A14 (Given)

From this, we can get A6 = A4

A6 and A4 are alternate angles and are equal. So c and d are parallel.

A7 + A10 = 180 (Linear pair of angles) - ( 1 )

A13 = A10(Alternate interior angles)

Putting A13 in place of A10 in ( 1 ),

A7 + A13 = 180

Hence proved

Ask doubts if any

Can I get help with this please?

Answers

First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer

Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form

Solve (x - 3)- + 7 = 97, where X is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. ​

Answers

Answer:

x=107 do you need explanation

What is the equation of function g?
g(x)= f(x)

Answers

Answer:

f=gx-4/x-2

f=x^3+2/x

Is this correct? Answer if you know the answer and correct me if I am wrong.

Answers

Answer: Is correct trust me.

Step-by-step explanation:

ayo can yall help me plzzz

Answers

Answer:

I think it's either Wednesday or Sunday.

Step-by-step explanation:

Answer: the answer is d Wednesday.

Step-by-step explanation:

hope this helped ya bro! have a good day! :)

Simplify the expression. Write your answer as a power.

Answers

Answer:

h^7

Step-by-step explanation:

Its just adding another power.

Answer: h^7

Step-by-step explanation: I'm pretty sure! if not thats my bad

Select ALL the possible solutions to the Inequality:
x > - 2
1. x = 0
2. X = -2
3. x= -10
4. X = 5
5. x= -5

Answers

Answer:1 and 4

Step-by-step explanation:

0 > -2 is true

5 > -2 is true

Write the equation of the line that has an undefined slope and passes
through the point (-4. –5).

Answers

Answer:

x = -4

Step-by-step explanation:

If a line has an undefined slope, it is a vertical line.

If we want a vertical line to include (-4, -5), every x-value will be -4.

This means our equation is:

x = -4

Hope this helps!

please help me find the trend line for the scatterplot!

Answers

Answer:

wbv wncwic wndv envne jcsid ejshf vuia csiubc wcbu

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

no the quadrilateral isn't a parallelogram

Step-by-step explanation:

For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.

what is 4 1/2 plus 6 2/5

Answers

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

A restaurant sells curried cashew soup. On Monday the cook uses 3/5 of a bag of cashew. On Tuesday the cook uses ½ as any cashews as on Monday. What fraction of a bag of cashew does the cook use on Tuesday?

Answers

Answer:

The restaurant cooked 3/10 as many cashews on Tuesday

Step-by-step explanation:

If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.

So "as many" gives us a clue to multiply.

3/5 * 1/2 = 3/10

So the restaurant cooks 3/10 bag of cashews on Tuesday

help please i’ll really appreciate it

Answers

Answer:

704

Step-by-step explanation:

We need to find the volume of pyramid and cube and plus.

volume of pyramid

l-Base length  

w-Base width  

h-Pyramid height

Vp==lwh /3=8·8·9 /3=192

Volume of pyramid and cube

a-Edge

Va=a³=8³=512

V=Va+Vp=512+192=704

Is y= x +4 a linear fraction or nonlinear fraction

Answers

Answer:

Linear as it would be a straight line.

Step-by-step explanation:

If you move up one and to the left one you would have a straight line touching the y-intercept 4.

Can someone plz help me find the missing side using sin or cos and rounding it to the nearest tenth

Answers

Answer:

65.73

Step-by-step explanation:

use the law of sines

a/Sin A = b /Sin B

36/sin 84 = 33/sin x

sin x = (33(sin 84))/36

x = 65.73

answer this and don’t answer if you are not smart

Answers

Answer:

60 degrees

Step-by-step explanation:

This is a complementary angle, so the equation to use is 30+x=90.

To find out what x is, we have to use the Subtraction Property of Equality.

30+x=90

-30     -30

       x=60

i have 44 followers and my friend has 4 dollars. Then count the mass of followers on all social media and the mass of money earned on social media

Answers

Answer:

Purple

Step-by-step explanation:

Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?

Answers

11/2 total or 22/4 total.
We have used 3/2 or 6/4 plus another 7/4
so we have a total of 13/4ths.
Then we subtract 13 from 22 which gets us 9/4
Meaning we need a total of 2 full cups and a 1/4th of a cup other wise being 9/4ths of a cup

Find the area of each parallelogram. 1. I 18 ft 16 ft​

Answers

Answer:

Area is 288.

To find the area of a shape you have to multiply. 18 x 16 = 288.

area equal 288 simply multiply both

1.
35, 56, 34, 44, 52, 12, 34, 45
Mean:
Median:
Mode:

Answers

Answer:

Mean x¯¯¯ 39

Median x˜ 39.5

Mode 34

Step-by-step explanation:

Mean: 39

Median: 39.5

Mode: 34

Can get a little help

Answers

Good luckvsvsvsbsbsjsjhsbsbsbsb

The diagram shows a right-angled triangle.
hcm
19°
13 cm
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

Answer:

[tex] \cos(19 \degree) = \frac{13}{h} \\ h = \frac{13}{ \cos(19 \degree) } \\ h = 13.7 \: cm[/tex]

1 + 1 =

A. 1
B. 21
C. 11
D. fish​

Answers

Answer:

N/A

1 + 1 = 2

Step-by-step explanation:

Answer:

Hmm... 11

I'd have to go with 11

Step-by-step explanation:

Thanks by the way :)

I don’t understand!!!

Answers

Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

48 degrees

Since you are given one angle which is 132 degrees and you know that elm street and new street are perpendicular, then this means that the line crossing over elm street and new street is strait. A strait line is 180. 180 degrees - 132 degrees leaves you with you x angle to be 48 degrees

3 tons and 700 pounds = how many pounds​

Answers

Answer:

1 ton=2,000 pounds so 6,700 pounds

Step-by-step explanation:

At which of the given values is the graph discontinuous? will report if links is put as an answer.

Answers

Answer:

A

Step-by-step explanation:

Jump discontinuity

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Why does it matter that we protect African Wild Dogs?

Answers

Answer:

HOPE it helps

One of Africa's most efficient predators, wild dogs may help regulate prey species that in turn play a role in shaping vegetation communities. Securing a future for wild dogs, therefore, is an essential part in stemming the loss of biodiversity and preserving a healthy ecosystem.

Answer:

wild dogs may help regulate prey species that in turn play a role in shaping vegetation communities. Securing a future for wild dogs, therefore, is an essential part in stemming the loss of biodiversity and preserving a healthy ecosystem.

Step-by-step explanation:

1) Find the missing side. Give your
answer in simplest radical form.

Answers

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²Evaluate exponents:                                                                                         64 + 16 = x²Add:                                                                                                                   80 = x²[Equality Property] Square root both sides:                                                    √80 = xRewrite:                                                                                                             x = √80Simplify:                                                                                                             x = 4√5
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