You recently spent $22 to purchase a notebook, a box of pencils, and a package of pens. The box of pencils costs $2 less than the notebook. The package of pens costs 3 times as much as the box of pencils. Write and solve an algebraic equation to find the cost of each item you purchased.

Answers

Answer 1

Answer:

The answer is down below:

Step-by-step explanation:

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.

Answer 2

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x


Related Questions

find the arc length if the central angle a = 70°
and the radius is r=55 ft

Answers

Answer:

The arc length should be 67.1952 feet.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Write the equation of the graphed line.

Answers

Answer:

y = 1/4x+2

Step-by-step explanation:

y = mx+b where m is the slope and b is the y-intercept.

y = (-1/4)x+2

Could someone help? please the deadline is in 20 min!!!

Answers

Answer:

7.$95 8. $112.50

Step-by-step explanation:

7.

50 divided by 100 is 0.5, then times by 90 is 45.

45 plus 50 is 95.

8.

$150/4=$37.50

$150-$37.50=$112.50


3. Julissa's rose garden is in the shape of a trapezoid with a height of 35 feet. The bases of
the garden measure 50 feet and 32 feet. What is the area of Julissa's rose garden? *

C. 1,435 square feet

A. 58.5 square feet

B: 1,360 square feet

D. 2,870 square feet

Answers

Answer:

Step-by-step explanation:

i dont nkoe

This is geometry. Please help. If at all possible show solving steps or step explanations.

Answers

slope m = 5/7 because tan

BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH

Answers

Answer:

I really think it's A cause I hust had that same question on my test

Answer:

I think it's A cuz for me, B is just... I don't know about B

Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3

Answers

Answer:

The middle also 9 -8 = 1

Step-by-step explanation:

An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items.

Answers

Answer:

The 95% confidence interval for the mean is approximately;

(9.063, 9.737)

Step-by-step explanation:

The given parameters are;

The mean of the sample, [tex]\overline x[/tex] = 9.4

The sample variance, s² = 0.49

The sample size, n = 19

The confidence level = 95%

Therefore, we get;

[tex]CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}[/tex]

The degrees of freedom, df = n - 1

∴ df = 19 - 1 = 18

From the t-table, the critical-t = 2.101

Therefore, we have;

[tex]CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}[/tex]

Therefore, we have;

9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)  

9.0626 < μ < 9.737

∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)

find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees

Answers

Answer: hi

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

hope is helps <3

BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!

Answers

The length is 4.5 inches and the width is 2.5

divide the scale factor 1:16  to the real life lawn measure being 9 inches by 5  inches and that gives us

The length of  inches and  inches

Hope this helps

Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 3 ) and r = 4 , then

(x - (- 5))² + (y - 3)² = 4² , that is

(x + 5)² + (y - 3)² = 16 → D

Which expression can be used to find the difference of the polynomials?
(10m - 6) - (7m -4)

Answers

Answer:

Value of given expression (10m - 6) - (7m - 4) is (3m - 2)

Step-by-step explanation:

Given:

Expression (10m - 6) - (7m - 4)

Find:

Value of given expression (10m - 6) - (7m - 4)

Computation:

(10m - 6) - (7m - 4)

Multiply " - " into (7m - 4)

So,

Solution ⇒ 10m - 6 - (7m) - (-4)

By solving brackets;

Solution ⇒ 10m - 6 - 7m + 4

Solution ⇒ 3m - 2

Value of given expression (10m - 6) - (7m - 4) is (3m - 2)

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The

height of the prism is 16.5 meters.

Answers

Answer:

379.5 square units

Step-by-step explanation:

The computation of the lateral surface area of the prism is shown below;

Here we have to use the following formula

= (a + b+ c) ×h

where

a = 5

b = 10

c = 8

And, h = 16.5

SO, the lateral surface area of the prism is

= (5 + 10 + 8) × 16.5

= 23 × 16.5

= 379.5 square units

What is the unit rate from 1 1/4 cups of milk in 15 brownies

Answers

Answer:

12

Step-by-step explanation:

divide 15 by 1.25  because 1 1/4 in decimals is 1.25

Find the measure of line segment EF. Please!!

Answers

Answer:

EF = 26

Step-by-step explanation:

From the question, we have that arc EF and arc CD are equal

what this indicates is that the line that bounds these arcs too will be equal

Hence, CD equals EF

Thus;

9x-1 = 41-5x

9x + 5x = 41 + 1

14x = 42

x = 42/14

x = 3

Recall;

EF is 41-5x

EF = 41-5(3)

EF = 41-15

EF = 26

5 pts
A 65 inch TV is 65 inches across the diagonal. If the length of
the TV is 57.1 inches wide, how tall is it?

Answers

Answer:

a number

Step-by-step explanation:

Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?

Answers

Answer:

252

Step-by-step explanation:

7/25=252/900

Use linear function g(x)=3x+5
a. Given x= 1,3,5,7 what are the output values of g(x). respectively?
b.write the input and output values as ordered pairs (hint: there are four order pairs.)
c. How did the order pairs change ?

Answers

A. 8, 14, 20, 26

B. (1, 8), (3, 14), (5, 20), (7, 26)

C. As x increased by 2, g(x) increased by 6. If x increases by 1, g(x) will increase by 3.

Hope this helped.

PLEASEE HELPPP!!! I APPRECIATE ITTTT

Answers

Answer:

this is about a 45 degree angle

Step-by-step explanation:

Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.

Answers

Answer: 193 inches squared

Step-by-step explanation:

The exponential function), whose graph is given below, can be written as h(x) = a•b^x.

Complete the equation for h(x).

Answers

Answer:

Step-by-step explanation:

h(x)=a*b^x

it passes through (0,6) and (1,4)

6=a*b^0

6=a*1

a=6

h(x)=6*b^x

4=6*b^1

b=4/6=2/3

[tex]h(x)=6*(\frac{2}{3} )^x[/tex]

(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $70 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere

Answers

Answer:

The answer is "[tex]r=0.175 \ ft[/tex]"

Step-by-step explanation:

using formula:

[tex]\to \text{profit = revenue-cost}[/tex]

[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]

so,

[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]

[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]  

Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°

Answers

Answer:

Option (3)

Step-by-step explanation:

By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.

From the figure attached,

Two tangents CD and DE are intersecting each other at point D outside the circle A.

Two intercepted arcs are minor arc CE and major arc CBE,

Measure of arc CE = 112°

Therefore, measure of major arc CBE = 360° - 112°

                                                               = 248°

m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]

                 = [tex]\frac{1}{2}(248-112)[/tex]

                 = [tex]\frac{1}{2}\times 136[/tex]

                 = 68°

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

30 men can do a piece of work in 40 days . How long will it take to complete the work if 5 men are reduced? (Ans - 48 days ) Do step by step​

Answers

Answer:

48 days

Step-by-step explanation:

Given that :

30 men can ado a piece of work in 40 days

Assume they work at the same rate, then we it means that ;

1 man will take (30 * 40) = 1200 days to finish the work

Reducing 5 men, means we now have (30 - 5) = 25 men

If ;

1 man takes 1200

25 men will take ;

1200 / 25

= 48 days

Can somebody plz help answer these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD

Answers

Answer:

Shown Below

Step-by-step explanation:

WPT = 90

WPV =  30

VPT =  60

VPS = 90

RPS = 60

WPS = 120

QPS =  150

Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente con un asta de bandera, el resultado indica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿cuantas señales diferentes son posibles si las cuatro banderas son utilizadas? b) ¿cuantas señales diferentes son posibles si almenos una bandera es utilizada

Answers

Answer:

respuesta b

¿cuantas señales diferentes son posibles si almenos una bandera es utilizada?

4P4+4P3+4P2+4P1=64

State the best term for the given figure in the diagram
1.) F
2.) FE
B
13.) HG
4.) DB
5.) C
6.) BE
7.) DB
8.) AG
Note: Be able to define and draw a picture all all terms used in Chapter 10
In questions 9-10, BC is a radius of OC and AB is a tangent to OC.
Find the value of x
9.)
10.)
96
100
32
Q
56
The points K and M are points of tangency. Find the value(s) of x
11.)
12.)
K
K
3x - 10
4x + 7
.L
17
7x - 8
M M
Page
1 / 5
- +

Answers

Answer:

i dont understand what the question means

Step-by-step explanation:

a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??

Answers

Linear

This is because an exponential function increases at an exponential rate. Or, with multiplication.

Linear functions increase at a constant rate, with addition.

Answer:

This problem represents a linear equation.

Step-by-step explanation:

A linear equation is by adding to a certain number, but an exponential equation is multiplying by a certain number.  Therefore, it is a linear equation.

Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is

Answers

Answer:

824 feet

Step-by-step explanation:

Got it right on Plato

R
56
30°
T
S
What is the measure of Angle R?
plz help

Answers

Answer:

94

Step-by-step explanation:

180-30-56=94 degrees

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