In this activity, you'll create a linear equation to represent a real-world situation and then use it to solve a problem. Read the situation, and then answer the questions that follow.

Answers

Answer 1

Answer:

Price of copy = $5

Step-by-step explanation:

Situation:

Tommy purchases five copies and five pencils. He gives $130 to the shopkeeper.

If the price of a pencil is $13, find the price of a copy.

Assume

Number of copy = 5

Number of pencil = 5

Price of copy = x

Price of Pencil = $13

So,

5(x) + (5)(13) = 130

6(x) + 65 = 130

x = 5

So,

Price of copy = $5


Related Questions

what is federal state?​

Answers

Step-by-step explanation:

A federation (also known as a federal state) is a political entity characterized by a union of partially self-governing provinces, states, or other regions under a central federal government (federalism).

PLS help :) Which of the following qualities does not describe a line? Select all that apply.

1.has no width
2.imaginary
3.curved
4.has two endpoints
5.endless

Answers

Answer:

Hi there!

Step-by-step explanation:

In my opinion, the answer should be 1 (and maybe 4)

We can tell 1)has no width is the answer because the lines the one dimensional.

So the answer has to be number 1.

And...

Number 4 might also be correct because that would be a line segment (which goes on in both directions)

********************************************

So your answer should be letter 1 (also it might be letter 4 too, but I am not that sure)

Hope this helps!

~Have a great day!~

If you have any questions feel free to ask! :)

So solve the following - 8 by 50 divided by 4 by 5

Answers

Answer:

20

Step-by-step explanation:

8*50=400 /4*5=20

400/20=20

Answer:  -20

Step-by-step explanation:

-8 by 50   ÷   4 by 5

-8 × 50     ÷    4 × 5

[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]

Help needed ASAP will give brainliest It’s just a small problem pls

Answers

Answer: 1/7

Step-by-step explanation:

Just divide the numbers to convert it to decimal.

Answer:

1/7

Step-by-step explanation:

1 divided by 7 using long division is 0.142857 repeated. Please give brainliest thanks

Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled by the expression 55x + 50. Explain how each number and letter in the expression relates to the problem.

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.

Answer 55.1

Yeah boyyy

A worker bee flies 5/8 of a mile in 1/16 of an hour. At this rate, how far can the bee fly in 1 hour?

Answers

Answer:

10 miles

Step-by-step explanation:

So we know that it flies 5/8 of a mile in 1/16 of an hour. So after flying 5/8 of a mile 16 times, we will reach an hour. So we can do 5/8*16 and we get our answer of 10. So the bee will have traveled ten miles.

-40 - 6n= 2(1 + 4n)
n=-13
n=-3
n = Infinite solutions
n=-12

Answers

Answer:

[tex]\huge\boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}[/tex]

Answer:

-3 = n

Step-by-step explanation:

-40 - 6n= 2(1 + 4n)

Distribute

-40 -6n= 2+8n

Add 6n to each side

-40 -6n+6n = 2+8n+6n

-40 = 2+14n

Subtract 2

-40-2 = 2+14n-2

-42 = 14n

Divide by 14

-42/14 = 14/14

-3 = n

How do you graph y = √ 5 - x?

Answers

Answer:

How to graph y=√5 -x is shown in attachment

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.

For something like this, it is convenient to choose y and then compute the value of x that goes with it.

 y = 0 = √(5 -x)   ⇒   x = 5 -0² = 5

  y = 1 = √(5 -x)   ⇒   x = 5 -1² = 4

  y = 2 = √(5 -x)   ⇒   x = 5 -2² = 1

  y = 3 = √(5 -x)   ⇒   x = 5 -3² = -4

Once you have plotted the points, draw a smooth curve through them.

Suppose mr. Swanson turns in a late order for 1 veggie sandwich and 1 chicken sandwich. what is the new ratio of chicken sandwiches to veggie sandwiches​

Answers

Answer:

6 chicken sandwiches to 4 veggie sandwiches

Step-by-step explanation:

I took the quiz.

Answer:

c

Step-by-step explanation:

where's the trust?

how to move a parallel line next to the origin

Answers

Answer:

Write its y-intercept as zero:

[tex]y=m\,x[/tex]

Step-by-step explanation:

If the line is given in slope-intercept form:

[tex]y=m\,x+b[/tex]

make sure that you keep the value of the slope (m) as it is (because you want a line parallel to this one so it has to have the same slope "m", and change the value of "b" to zero, leaving the line with the following form:

[tex]y=m\,x+0\\y=m\,x[/tex]

This forces the line to have its y-intercept at the value zero (origin of coordinates)

Which equation could be used to create the graph? y=x−2 y=x−4 y=x3 y=3x

Answers

Answer:

y=3x

Step-by-step explanation:

If I am wrong sorry.

Answer:

y=3x

Step-by-step explanation:

i just took the test

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
O f-v=a
+
o-v=a
t
Of+V = a
o(+va

Answers

Answer: [tex]a = \frac{f-v}{t}[/tex]

This can be written as  a = (f-v)/t

============================================

Work Shown:

[tex]f = v + at\\\\v + at = f\\\\at = f-v \ \text{ Subtract v from both sides}\\\\a = \frac{f-v}{t} \ \text{ Divide both sides by t}\\\\[/tex]

----------

Note

[tex]a = \frac{f-v}{t}[/tex] is the same as [tex]\frac{f-v}{t} = a[/tex]

vertical translation​

Answers

In geometry, a vertical translation is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system. Often, vertical translations are considered for the graph of a function.

Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15

Answers

Answer:

Step-by-step explanation:

∠g and ∠f are the interior angles on the same side of the transversal, therefore they're supplementary.

g + f = 180

4x + 3 + x + 17 = 180

5x + 20 = 180

5x = 180 − 20

5x = 160

x=1605=32

g = x + 17 = 32 + 17 = 49

Since ∠g and ∠e are corresponding angles, they're congruent.

g = e = 49

I NEED TO FINISH THIS NOW PLZ HELP MEE!!

Answers

Answers:

height of building A = 64 meters

height of building B = 87 meters

=====================================================

Explanation:

Refer to the diagram below.

I have added points A,B,C,D to help find the heights needed.

Focus on triangle BAC. This is a right triangle with 58 degrees as one of the known acute angles (angle BAC = 58). Also known is the adjacent side AB = 40. The unknown side we're after is side BC

------------------

tan(angle) = opposite/adjacent

tan(angle BAC) = BC/AB

tan(58) = BC/40

40*tan(58) = BC

BC = 40*tan(58)

BC = 64.013381161642

BC = 64 meters approximately

This is the approximate height of building A

---------------------

Now focus on triangle DAB

This is another right triangle. The acute angle is now 30 degrees as this is the angle of elevation.

tan(angle) = opposite/adjacent

tan(angle DAB) = DB/AB

tan(30) = DB/40

40*tan(30) = DB

DB = 40*tan(30)

DB = 23.094010767585

DB = 23 meters approximately

Add this onto BC to get

DC = DB+BC

DC = 64+23

DC = 87

Building B has a height of roughly 87 meters

--------

note: a more accurate value would be

DC = DB+BC

DC = 40*tan(30) + 40*tan(58)

DC = 87.107391929227

but when we round this to the nearest meter, we still get DB = 87

What is the factors of 5.1x

Answers

Answer:

1, 5.1, x, 5.1x

Step-by-step explanation:

5.1x can be split into 5.1 * x, therefore, we know that two of the factors are 5.1 and x. Keep in mind that 2 factors of a number are always 1 and the number itself, so we know that 1 and 5.1x are also factors. The final answer is 1, 5.1, x, 5.1x.

2(t+5)+t=4
Solving linear equations

Answers

Answer:

t = -2

Step-by-step explanation:

To solve this equation, we can use algebraic techniques.

2(t + 5) + t = 4 Distribute the 2.

2t + 10 + t = 4 Combine like terms (variables).

3t + 10 = 4 Subtract 10 from both sides of the equation.

3t = -6 Divide by 3 on both sides of the equation.

t = -2

what are you really changing when you change the length of the segment?

Answers

Answer: how much you have done

Step-by-step explanation:

3.2k - 4.3 = 12.6k + 14.5

Answers

Answer:

k = -2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.2k - 4.3 = 12.6k + 14.5

Step 2: Subtract 3.2k on both sides

-4.3 = 9.4k + 14.5

Step 3: Subtract 14.5 on both sides

-18.8 = 9.4k

Step 4: Divide both sides by 9.4

k = -2

Will give brainliest! I need help with those three questions! Please :)))

Answers

okay so for the first question, if you simplify the equation, you get 5 = 6, which is never true. Therefore it has 0 solutions.
For the second question, if you simplify the equation you get 21 = 21, which is always true. Therefore it has infinite solutions.

Now let’s write the equation for the last question: 3p + 5 = 11, simplifying would give you 3p = 6, which means p = 2

The function h(t) --4.922 +17.69+575 is used to model the height of an object being tossed from a tall building, where h(t) is

the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

domain: [0, 12.76]

range: (1.80, 590.90)

domain: [1.80,12.76]

range: [1.80, 590.90)

domain: [1.80,12.76]

range: [0, 590.90]

domain: [0, 12.76]

range: [0,590.90]

Answers

Answer:

The correct option is;

Domain: [1.8, 12.76]

Range: [0, 590.90]

Step-by-step explanation:

The given function is h(t) = -4.92·t² + 17.69·t + 575

The maximum height reached is found from equating the derivative of the function to 0 as follows;

d(h(t))/dt = d(4.92·t² + 17.69·t + 575)/dt = -2×4.92·t + 17.69

d(h(t))/dt = 0 gives;

-2×4.92·t + 17.69 = 0

-9.84·t + 17.69 = 0

-9.84·t  =  -17.69

t = -17.69/-9.84 = 1.79 ≈ 1.8

h(1.8) = -(4.92×1.8²) + 17.69×1.8 + 575 = 590.9

Also we have from equating the function to zero

h(t) = -4.92·t² + 17.69·t + 575 = 0

(t - 12.75)(t + 9.2) = 0

Therefore, when t = 12.76 h(t) = 0,

Therefore, we have; the domain which is the set of values of the independent variables is [1.8, 12.76]

The range = [0, 590.90].

Answer:

C on Edge

Step-by-step explanation:

15-29=
(I need the explanation most importantly)
14+(-4) - 8 =
(Explanation please)
12. -8.4 - (19.5.) =
(Explanation)
-15 + 8 - (-19.7) =
(Explanation)
29.45 - 56.009 - 78.2
(Explanation)
LAST ONE
45.9 - (-9.2) + 5

Answers

Answer:

15-29= -14

(I need the explanation most importantly)

14+(-4) - 8 =10-8=2

(Explanation please)

-8.4 - (19.5.) = - 27.9, (just add them to each other and write -, because both have - in front of them)

(Explanation)

-15 + 8 - (-19.7) = - 7+19,7=12,7 (there is + and - so it will became - 7, and at next there is two - which will turn them into +)

(Explanation)

29.45 - 56.009 - 78.2=−104,759 (all you have to is to put them all together, and than make it 29.45 less, writing - in front of them)

(Explanation)

LAST ONE

45.9 - (-9.2) + 5= 45.9+9.2+5=55.1+5=60.1 (because when there is 2 minus next to each other it will became plus)

Find the volume Of the cylinder with radius 8 CM and height 15cm, use 22/7. 376.8
3014.4
4011.7
3625.5

Answers

Answer:

[tex]\huge\boxed{ V = 3015.93\ cm\³}[/tex]

Step-by-step explanation:

Volume of Cylinder = [tex]\pi r^2 h[/tex]

Where r = 8 cm, h = 15 cm

=> V = (22/7)(8)²(15)

=> V = (22/7)(64)(15)

=> V = 21120/7

=> V = 3015.93 cm³

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{3014.4 \: {cm}^{3} }}}}[/tex]

Option B is the correct option

Step-by-step explanation:

Given,

Radius ( r ) = 8 cm

Height ( h ) = 15 cm

Let's find the volume of the cylinder having radius of 8 cm and height of 15 cm

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {8}^{2} \times 15}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 64 \times 15}[/tex]

Calculate

⇒[tex] \sf{3.14 \times 64 \times 15}[/tex]

⇒[tex] \sf{3014.4 \: {cm}^{3} }[/tex]

Hope I helped!

Best regards!!

Which of the following illustrates the truth value of the given mathematical statements? 6 + 3 = 9, and 4 • 4 = 16 T T → T T F → F F T → F F F → F

Answers

Answer:

TT→T

Step-by-step explanation:

6 + 3 = 9

4 • 4 = 16

TT→T both equation are true

Tracy purchased a building for $209,350. The land appreciates about 4.5% each year. What is the value of the land after 15 years?

Answers

Answer:

Future Value = $405,151.38

----------

FV = PV * (1 + R) ^ N

FV = $209,350 (1.045) ^ 15 = $405,151.38

----------

PV = $209,350

R = 4.5%

N = 15 years

Step-by-step explanation:

Help ASAP! Examine the table, which contains some points of a quadratic function. Which statements are true about the intercepts of the function?

Select all that apply.
The function has a y-intercept of (2,0).
The function has an x-intercept of (0,8).
The function has an x-intercept of (2,0).
The function has an x-intercept of (4,0).
The function has a y-intercept of (0,8).
The function has a y-intercept of (4,0).

Answers

Answer:

third, fourth and fifth

Step-by-step explanation:

The y- intercept is the coordinates of the point where the graph crosses the y- axis. At this point the x- coordinate is zero, thus

The function has a y- intercept at (0, 8 ) → fifth

The x- intercepts are the coordinates of the points where the graph crosses the x- axis. At these points the y- coordinate is zero, thus

The function has an x- intercept at (2, 0 ) →third

The function has an x- intercept at (4, 0 ) → fourth

What is the absolute value of Point Clabeled on the number line?

Answers

Answer:

  2 1/4

Step-by-step explanation:

An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.

please help me on this

Answers

Answer:

8in

Step-by-step explanation:

The correct answer is eight inches

Complete the point slope equation of the line through (0,-2) and (3,4). y-4 = *

Answers

Answer:

y-4=4/5(x-0)

or, 5y-20=4x

or, 4x-5y+20=0 is the required equation

The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. a 32.25 π b 95.03 π c 30.25 π d 17.27 π

Answers

Answer:

30.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

11 pi = 2 * pi *r

divide each side by 2 pi

11/2 = 2 ( pi) * r/ ( 2pi)

11/2 = r

We can find the area by

A =  pi * r^2

   =  pi ( 11/2) ^2

   =  pi ( 121/4)

   = pi ( 121/4)

   = 30.25 pi

Answer:

[tex]\Huge \boxed{30.25 \pi}[/tex]

Step-by-step explanation:

The circumference of a circle formula is:

[tex]C= \pi d[/tex]

The circumference is given, solve for d.

[tex]11\pi=\pi d[/tex]

Cancel [tex]\pi[/tex] from both sides.

[tex]11=d[/tex]

The radius is half the measure of the diameter.

[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]

The area of a circle formula is:

[tex]A=\pi r^2[/tex]

Let r = 5.5, solve for the area.

[tex]A=\pi (5.5)^2[/tex]

[tex]A=\pi (30.25)=30.25\pi[/tex]

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