Pens and Pencils
Mrs. Charles ordered 150 pencils and 225 pens for the academy store. The pens cost 15 cents more than the pencils. Mrs. Charles’ total order was $135. Mrs. Charles was quite surprised by this amount as she thought the total would be $120.

If the cost of one pencil and one pen is 69 cents, who do you think is right, the supplier or Mrs. Charles? Support your answer with

mathematical evidence.

What is the cost of each pencil? Each pen? Support your answer with mathematical evidence.

Answers

Answer 1
Pen=x
Pencil=y
y+0.15=x
y+x=0.69
y+y+0.15=0.69
2y=0.69-0.15
2y=0.54
y=0.54/2
y=0.27 pencils
y+0.15=x
0.27+0.15=x
0x=0.42 pen
150 pencils x0.27=40.5$
225 pens x 0.42=94.5$
Total 40.5$ + 94.50$=135 $
Supplier is right about a priče.


Related Questions

What is the average of 6 and 10?

Answers

Answer:

j

Step-by-step explanation:

u

Answer:

8

Step-by-step explanation:

Members of a club are making tie-die t-shirts. They made 104 t-shirts in the first week and need to
make a total of 325 t-shirst. What percent of t-shirts were made in the first week?

Answers

Answer:

34.3%

Step-by-step explanation:

Simplify. 6(23x–5)−7x−8

Answers

The answer is 131x - 38.

8x=2 what is the value ofx

Answers

Answer:

x=0.25

Step-by-step explanation:

8x=2

4x=1

4x÷4=1÷4

x=0.25

express (3x+1)(2x-5) as a trinomial

Answers

6 x 2 − 13 x − 5  hope this helped,

Answer: (3x+1)(2x−5)

6

2

15

+

2

5

6x

2

−15x+2x−5

Distribute (FOIL)

6

2

13

5

6x

2

−13x−5

Step-by-step explanation:

The ratio of raspberries to strawberries is 1:7. If there
are 147 strawberries, how many raspberries are
there?

Answers

Answer:

21 RASBERRIES

Step-by-step explanation:

THERE ARE 147 STRAWBERRIES.

THE RATIO OF RASBERRIES TO STRAWBERRIES ARE 1:7

THEN,

THE AMOUNT OF RASBERRIES ARE 1/7 TIMES OF THE STRAWBERRIES.

SO,THERE ARE (147×1/7) or,21 RASBERRIES.

SO THE ANSWER IS: THERE ARE 21 RASBERRIES...

choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??​

Answers

Answer:

a) third degree trinomial

Step-by-step explanation:

The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.

Now we look at the degree of each term:

2x: degree 1 (since x is the same as x^1)

10x^2: degree 2

-x^3: degree 3

The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.

The polynomial has 3 terms, so it is a trinomial.

Answer: a) third degree trinomial

A should be your answer! Have a nice day!

classify 1/3 if it is rational, irrational, integer, whole, or natural​

Answers

Answer:

rational

Step-by-step explanation:

Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?

Answers

Answer:

22.7 miles

Step-by-step explanation:

19+8.7=22.7

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

[tex] \frac{8\pi}{5}[/tex]

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

[tex]2\pi \times( r)( \frac{x}{360)} [/tex]

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

[tex]2\pi \times (6)( \frac{48}{360} )[/tex]

Multiply 2 pi by 6

[tex]12\pi \times ( \frac{48}{360} )[/tex]

[tex]12\pi \times \frac{4}{30} [/tex]

[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]

[tex] \frac{8\pi}{5} [/tex]

Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.

Answers

Responder:

(x + 2) ² + (y-4) ² = 100

Explicación paso a paso:

La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²

r es el radio

(x0, y0) es el centro

Dado que el centro representa el punto medio de (-7, -6) y (3,14)

x0 = -7 + 3/2

x0 = -4/2

x0 = -2

y0 = -6 + 14/2

y0 = 8/2

y0 = 4

Sustituir en la expresión

(x - (- 2)) ² + (y-4) ² = 10²

(x + 2) ² + (y-4) ² = 100

Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100

The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.

Answers

Answer:

base=24

Step-by-step explanation:

2*4=8

192/8=24

A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?

Answers

Answer:

5.8 m

Step-by-step explanation:

Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8

The ladder can reach a height of 5.6 meters.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a ladder that is resting against a wall.

Now, assume that the ladder can reach a height of [x] meters. Then when  the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -

(6 x 6) = x² + (1.5 x 1.5)

x² = (6 x 6) - (1.5 x 1.5)

x² = 7.5 x 4.5

x² = 33.75

x = 5.6 meters

Therefore, the ladder can reach a height of 5.6 meters.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

Write 0.0065 in standard form

Answers

Answer:

6.5 × 10^-3

Step-by-step explanation:

there 3 decimal points to make it 6.5 so it makes it -3

Plsssss help me I need help with this

Answers

Answer:

B 2.5

Step-by-step explanation:

10 x 2.5 = 25

6 x 2.5 = 15

Answer:

D

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The answer is 2

All lines that are parallel have the same slope

Answer:

the slope is (2)

Step-by-step explanation:

Two lines that are parallel to each other have the same slope so,

the equation y=2x+5 is in the form y=mx+c

where m is the slope of the line so if we compare both equations we can see that the slope of the line given will be 2 and therefore, the slope of the line parallel to it will be the same (2)

How can we make a quadratic function one-to-one? Write the process down below.

Answers

Answer: Quadratic Function: A function with the highest power of variable as 2.

Vertex: The lowest or highest point on the graph of a quadratic function.

Two Types of Problems: Finding quadratic function (a) given the vertex and another point; and (b) given three points.

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree?

Please hurry

Answers

Answer:

45 degrees

Step-by-step explanation:

Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.

Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be true? What is one thing that cannot possibly be true?

Answers

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

with three cans of paint u can paint 2 walls with 2 layers. How many cans do u need to paint 10 walls with 3 layers?

Answers

Answer:

22.5 cans of paint

Step-by-step explanation:

[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]

Answer:

You need 22.5 cans of paint to paint 10 walls with 3 layers.

Step-by-step explanation:

[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)

0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)

1.) What is the average rate of change between x=2 and x=5?


2) What is the average rate of change between x=3 and x=6?


3) What is the average rate of change between x=2 and x=4?

Answers

Answer:

Rate of change = 150%

Rate of change = 100%

Rate of change = 100%

Step-by-step explanation:

Find:

Rate of change

x=2 and x=5

x=3 and x=6

x=2 and x=4

Rate of change = [(5-2)/2]100

Rate of change = 150%

Rate of change = [(6-3)/3]100

Rate of change = 100%

Rate of change = [(4-2)/2]100

Rate of change = 100%

Answer:

2 4 8         next : increases

Step-by-step explanation:

What is m
Enter your answer in the box

Answers

Answer:

m = 2

Step-by-step explanation:

∠ GLI = 90°

∠ GLH + ∠ HLI = ∠ GLI , that is

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

Then

∠ HLG = 9m = 9 × 2 = 18°

Are the two triangles similar? How do you know?

Answers

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

plsss help ASAP!!!
BRAINLIEST

Answers

When x is -2 then y is 2

Which number line shows the solution of 5x - 25 < -15?
A.
-100 B 7 B
.
43
-2
.1
12
3 4 5 6 7 8 9 10
B.
-10.9 7 6 5 4 3 2
-1 0
1 2
3
4 5
6 7 8 9 10
O
20 -19 - 18 - 17 -16 -15 -14 -13 -12 -10 -987
43210
-109876
6 7 8 9 10

Answers

I think a. But I don’t understand this question.

Negative 11/14 times negative (1/17)

Answers

Step-by-step explanation:

[tex] - \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238} [/tex]

Hope it will help :)

Answer:

The answer is 11/238

Hope it helps

hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?​

Answers

Answer:

3 hours

Step-by-step explanation:

$30 + $10 = $40

* Just for a hour and the fee*

$128 ÷ $40 = 3

Answer:

he paid 8 hours

Step-by-step explanation:

kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa

hours sa hall kasa naging 8 hours

Find the value of the trigonometric ratio Sin C

Answers

Answer:

20/29

Step-by-step explanation:

Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.

Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:

Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a pink tile?

Answers

Answer:

Step-by-step explanation:

The experimental probability of choosing pink is

18/50

9/25

Answer:

The answer would be 18/50

Step-by-step explanation:

First part

Prob(Pink) = 18/50

Plz help me due tonight

Answers

Answer:

It would end up becuase it is positive

Step-by-step explanation:

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