Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

Answers

Answer 1

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

 

r = 2p

6r + 15p = 2.16

 

Substitute 2p in place of r in 2nd equation and solve for p

 

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

Answer 2
Answer: 2.16
6(2p)+15p=2.16
12p+15p=2.16
27p=2.16

Related Questions

What is the slope of the line shown below?
(1,7)
(3,5)
-10
-10
O A.
O B.
1
2
O c. 1
O D.-1

Answers

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

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

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

the diagram shows a circle inside a square. work out the area of the circle

Answers

Answer:

i don't know the answer as you haven't given the diagram

Step-by-step explanation:

asumming the circle is touching the square the length of the sides of the square is the diameter of the circle using this information you use the formula area= pie*radius squared find the area.

(radius=half the diameter0

You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?

Answers

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Please help <3
Not sure about this lol-

Answers

Answer:

C) 20

Step-by-step explanation:

3^4−21/3

Convert the exponent to a number

=81−21/3

Subtract

=60/3

Simplify

=20

It's always okay if your not sure about something

keep on trying :D

Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.

If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?

Answers

16.25 should be your answer

Answer:

3.25

Step-by-step explanation:

Find the perimeter and area of this shape

Answers

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Laws of indices

a) b^4 x b^5

b) x^6 devided by x

c) 5x^2 x 3x^4

d) 21c^8 devided by 7c^7

Answers

Answer:

a) b^4×b^5

hope it helps..,

What is 5884 diveded by 94?

Answers

Answer:

62.5957447

Step-by-step explanation:

= 62 R 56

= 62 56/94

= 62 28/47

Answer:

The answer is 62.6

Step-by-step explanation:

What is the greatest common factor (GCF) of 20 and 28​???
A. 6
B. 4
C. 2

Answers

Answer:

B, 4

Step-by-step explanation:

The greatest common factor of 20 and 28 is 4

1.) Subtract unlike fractions using the butterfly method.
.
WIN
-
1
6
-
1/4
O 1/2
O 1/3
O 1/5

Answers

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

please help me on this will give you brainliedt

Answers

Answer:

x = 38

Step-by-step explanation:

Exterior Angle Theorem

x + 99 = 137

subtract 99 from both sides and...

x = 38!

Answer:

137-99 would equal the missing angel which is 38°

Match the symbol with its corresponding category.

Answers

Answer:

N-Natural

R-Real

Z-integer

Q-rational

PLS HELP ITS TIMED..

Answers

Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

if u work it out then i will give lots of brinilets (pls show workings out)
:P

Answers

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

0.00002004 and 0.01203000 in scientific notation

Answers

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

Use an informal argument to find the value of a


PLEASE ANSWER FAST!!!

Answers

45 + a = 180 [ linear pair ]
a = 180 - 45
a = 135

Y + 2 = -3/4 ( x +1 )

Answers

Answer:

Step-by-step explanation:

Evaluate f(x)=−7x−5 when x=−6.

f(−6)=

Answers

The answer would be 37 because you multiply -7(-6) and get 42 and the you subtract 5 and get 37 as your final answer

Answer:

f(_6) = _7(_6)_5

=42_5

=37

10
9
8
7
6
6 5
5
4
3
2
2
1
х
0 1 2 3 4 5 6 7 8 9 10

Answers

Answer: 3/5

Step-by-step explanation:

[tex]\frac{6-3}{5-0}=\boxed{\frac{3}{5}}[/tex]

What is the distance from (6,0) to (8,0)?

Answers

Answer:

The distance should be 10 I believe

Rachel needs to write 3 book reports with b pages
and 3 science reports with s pages during the
school year. Write an algebraic expression for the
total number of pages Rachel will need to write.

Answers

Answer:

90% of people marry their 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

I’ll give you brainlest if you answer this question correctly it goes to the first person!

Answers

Answer:

It would be -4 for "x" and -6 for "y"

Step-by-step explanation:

x+z=-4+-6=-10

x-y=-4--6=2

How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answers

There are 6.4 Kilometers in 4 miles

MMMM THE MODERATORS ARE MAKING ME FLIPPING ANGRY! I NEED SOMEONE TO ANSWER MY QUESTION PLEASE .

Answers

Answer:

780

Step-by-step explanation:

So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do

39 x 20 = 780

A piano has 88 keys. Fifty-two of the keys are white.
How many more white keys are there than black keys?

Answers

Answer:

36

Step-by-step explanation:

88 - 52

=36

The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5

Answers

Answer:

The answer is 357

Step-by-step explanation:

what is y=3/4x-2 in standard form

Answers

Answer:

Hi! The correct answer is 3x-4y=8

Step-by-step explanation:

The volume of a cylinder whose radius is 2r cm and height h/4cm is______________

Answers

Answer:

V=πrh/2

Step-by-step explanation:

volume of a cylinder can be calculated using below formula

V=πr2h

Given:

radius =2r cm

height= h/4cm

If we substitute the given value into the formula we have πrh/2

V= π ×(2r) ×(h/4)

Simplyfying

V=πrh/2

Hence, The volume of a cylinder is V=πrh/2

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