......................................

Answer:

Price per large envelope = $1.42 (option A)

Price of each postcard = $0.35 (not asked for in this specific question)

Step-by-step process for solution given below

Step-by-step explanation:

The first thing to do for this problem and other similar problems is to set up the system of linear equations to be solved

We start with the unknowns and provide variable names for these unknowns

There are two unknowns here - the cost of each postcard and the cost of each large envelope

Let
x = cost of one postcard

y = cost of one large envelope

Customer 1 bought 14 postcards(cost = 14x) and 5 envelops(cost = 5y) for a total cost of $12

We can set up this as an equation:
12x + 5y =  12    ............ [1]

Customer 2  bought 10 postcards(cost = 10x) and 15  envelops(cost = 15y) for a total cost of $24.80
This translates to the following equation:
10x + 15y = 24.80 .... [2]

Let's re-write these equations one below the other for easier solution:

[tex]\begin{amatrix}14x+5y=12\dots[1]\\ 10x+15y=24.8\dots[2]\end{amatrix}[/tex]

Solving by substitution:
From any one of the above equations, express one variable in terms of the other variable and substitute for that variable in the other equation to solve.

Take equation [1]
[tex]14x+5y=12[/tex]

Let's express x in terms of y.

Move 5y to the right:
[tex]14x=12-5y[/tex]

[tex]x =\dfrac{12-5y}{14}[/tex]

Use this expression in y for x in equation [2]

[tex]10x + 15y = 24.8\\\\\implies 10 \cdot \dfrac{12-5y}{14}+15y=24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\[/tex]

Multiply throughout by 14:
[tex]14 \cdot \dfrac{\left(12-5y\right)\cdot \:10}{14} + 14\cdot 15y = 14 \cdot 24.8\\\\(12-5y)10 + 210y = 347.2\\\\120 - 50y + 210y = 347.2\\\\120 + 160y = 347.2\\\\160y = 347.2- 120\\\\160y = 227.2\\\\y = \dfrac{227.2}{160}\\\\y = 1.42[/tex]

Substitute y = 1.42 in equation [tex]x=\dfrac{12-5y}{14}[/tex]
[tex]x=\dfrac{12-5\cdot \:1.42}{14}\\\\x = 0.35\\\\[/tex]

So the cost of each large envelope was $1.42 and cost of each postcard was $0.35

Answer is option A

Solve by elimination

The idea here is to get the coefficients of one of the variables the same in both equations by multiplying / dividing one or both of the equations by some factor and then add/subtract to isolate the other variable and solve

For equations 1 and 2 do the following

Subtract the equations:
[tex]70x+105y=173.6\\-\\70x+25y=\;\;\;\;\;60\\\\[/tex]
-------------------------------
[tex]80y=113.6[/tex]

y = 113.6/80 = 1.42 as before

Substitute for y in equation 1 and solve for x
14x + 5y = 12 => 14x + 5(1.42) = 12

=> 14x + 7.1 = 12

=> 14x = 12 - 7.1

=> 14x = 4.9

=> x = 4.9/14 = 0.35 as before

I personally prefer solving by elimination since solving by substitution involves heavy duty fractional expressions

Answer:

t = 5 kilometers

Step-by-step explanation:

From the given figure,

Perimeter = 18 kilometers

Now, the formula for perimeter of a rectangle = 2(l + b)

Where,

'l' is the length of the rectangle

and

'b' is the breadth of the rectangle.

Since length is the longest side of a rectangle, therefore from the given figure

=> l = t kilometers

and

=> b = 4 kilometers

Substituting values in the formula,

18 = 2(t + 4)

=> 18/2 = t + 4

=> 9 = t + 4

=> 9 - 4 = t

=> t = 5 kilometers

Answer:

5 km

Step-by-step explanation:

We know that the perimeter of this rectangle is 18km.

We also know that 1 side is 4km.

Given the perimeter formula:

[tex]P=2(l+w)[/tex]

We can substitute our given values:

18=2(4+w)

Solve the right side

18=8+2w

subtract 8 from both sides

10=2w

divide both sides by 2

5=w

This means that z, the width, is 5 km.

Hope this helps!

Answer:

Step-by-step explanation:

What does the symbol indicated by the arrows most likely represent?

high pressure there’s no picture.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}[/tex]

so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)

[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}[/tex]

Answer:

m = 1/3

m⊥ = -3

x1 = -9

y1 = 13

point slope: y-13 = -3(x+9)

slope intercept: y= -3x-14

Step-by-step explanation:

Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)

To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3

x1 and y1 would be the given coordinates so -9 and 13 respectively

Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)

Point slope would be: y-13 = -3(x+9)

Slope intercept would be: y= -3x-14

Hope this helps!

Answer:

s = 7

Concept Used:

Linear pair axiom

Step-by-step explanation:

(6s-8) + 90 + 8s = 180 (Linear pair axiom)

14s = 98

s = 7

Answer:

7

Step-by-step explanation:

The 3 angles are on a straight line, meaning the angle is 180°.

We know that one angle is 6s-8°, another is 8s°, and the middle angle is 90° because of the small box.

We can set up an equation to find s:

6s-8+8s+90=180

simplify

14s+82=180

subtract 82 from both sides

14s=98

divide both sides by 14

s=7

Hope this helps :)

Answer:

Hello the answer :   C.   :)

Step-by-step explanation:

H

Answer: c

Step-by-step explanation:

You start from the range so you subtract 34-24=10 and the median is 31

Answer:b

Step-by-step explanation:

Answer:

#3 points are
(-4, 2)
(4, 2)

(-4, -2)

(4, 0)

#4 scale factor = 1/4

#5 scale factor = 1/2

Step-by-step explanation:

#3

take the given points and multiply the x and y by 2/3

#4 take any point and compare it to a similar point on the dilated graph. for example, you take a point from the original graph (-2, 4) and a point from the dilated graph (-1/2, 1) since you multiply -2 by 1/4 to get -1/2, that is your scale factor.

#5 same as #4 but with different points

Answer:17.6

Step-by-step explanation:

If 60% was taken off then what woold be left would be 40%. 40% translated into a decimal is 0.4 if you multiply that by 44 you would get the answer of 17.6.

Answer: $17.6

Step-by-step explanation:

100%-60%=40%. 40/100=0.4 and then you multiply 0.4x44=17.6. The price is now $17.6

Answer:324

Step-by-step explanation:

ifdosfsf

Answer:

The retail price is $17 × 1.3 = $22.10.

Answer:

a) If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.

b) If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.

c) If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².

Step-by-step explanation:

a) To solve, set up a proportion. Volume is three-dimensional, so we need to cube.

(7/8)³=1029/x

Now we can solve using cross products to get 1536.

If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.

b) To solve the second one, we also set up a proportion. Height is one-dimensional, so we will not need exponents here.

7/8=14/x

Solve using cross products to get 16.

If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.

c) Now we are solving for area, which is two-dimensional. Therefore, we will need to square.

7/8²=392/x

Solve using cross products to get 512.

If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².

Hope this helps and good luck on your homework! For additional resources, check out The Maths Prof: Similarity parts 1-3.

Answer:

To find the x-intercept, substitute in

0 for y

and solve for x. To find the y-intercept, substitute in

0 for x

and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,10)

Step-by-step explanation:

90 30 + 50 +(2x+10)=90

Let's first find the total cost of the text messages Craig can send in a month. Craig is allowed to send 450 text messages without any additional charges. If he sends more than that, he will be charged $0.25 per message. Let's say he sends x additional messages over the 450 allowed:

Cost of additional messages = $0.25 * x

So, the total cost of Craig's text messages in a month is:

Total cost = Cost of allowed messages + Cost of additional messages

Total cost = $0 + $0.25x

Total cost = $0.25x

We know that Craig has a budget of $26 for his cell phone bill. We can set up an equation to represent this:

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

Answer: he can go over by 104

Step-by-step explanation:Total cost = $0 + $0.25x

Total cost = $0.25x

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

have a good day

y should increase by five every time

5x is just a multiple 5 but without knowing how many tines your multiplying. Now we know that x increases by 1 each time, so it should just be normal multiplying. 5(1) = 5, 5(2) = 10, 5(3) = 15 and so on. It's a constant increase of 5.

Answer: 350

Step-by-step explanation:

Divide it by the centimeter

Answer:

350  (*^▽^*)

Step-by-step explanation:

Answer:

minutes   :     # of cards made

20                             50

40                             100

60                             150

80                             200

100                            250

120                            300

140                            350

160                            400

180                            450

200                           500

220                           550

240                           600

260                           650

280                           700

300                           750

320                           800

340                           850

360                           900

380                           950

400                           1000

And please let me know if this helps.

Answer:

it's 4

Step-by-step explanation:

4 appears more times than any number here

Mrs. Carter can cut 10 pieces of 0.5-meter-long ribbon from 5 meters of ribbon.

Here's how you can calculate it:

- Divide the length of the ribbon by the length of each piece: 5 ÷ 0.5 = 10.

- Therefore, Mrs. Carter can cut 10 pieces of 0.5-meter-long ribbon from 5 meters of ribbon.

Answer:

10 pieces

Step-by-step explanation:

You take the total (5 meters) and divide it by the length she needs (0.5 meters) to get 10

Answer:

its to blurry , sorry cant give you answer , too blurry. Make it less blurry ty3n i can answer it

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Therefore, we can set up an equation using the measures of the angles in triangle ABC:

ZABD + CBD + ABC = 180

Substituting in the given measures, we get:

(0.12x + 64) + (0.13x + 28) + ABC = 180

Simplifying and solving for x, we get:

0.25x + 92 + ABC = 180

ABC = 180 - 0.25x - 92

ABC = 88 - 0.25x

We know that the measure of angle ABC is 0.11x + 12. Substituting this into the equation for ABC, we get:

0.11x + 12 = 88 - 0.25x

Solving for x, we get:

0.36x = 76

x = 211.11

Therefore, the value of x is approximately 211.11.

Answer:

x = 352

Step-by-step explanation:

From the given Linear Pair, we can observe that ∠ABD and ∠CBD form a Straight Angle which is 180°.

∠ABD = 0.12x + 64°

∠CBD = 0.13x + 28°

Now we can understand that ∠ABD + ∠CBD = ∠ABC (Linear Pair)

∠ABC = 180°

So, ∠ABD + ∠CBD = 180°

(0.12x + 64°) + (0.13x + 28°) = 180°

(0.12x + 0.13x) + (64° + 28°) = 180° (Distribution Property)

0.25x + 92° = 180°

0.25x = 180° - 92°

0.25x = 88°

x = 88/0.25

x = 352

Hope my answer helps you ✌️

Mark BRAINLIEST

(Question 1)

A pair of angles formed by two parallel lines and a transversal are said to be the corresponding angles.

Corresponding angles are formed only when,

The pairs of Corresponding Angles in the given figure are —

You can write any two of them because the question says to write any two Corresponding Angles.

(Question 2)

Alternate angles that lie in the interior region of both the lines are called alternate interior angles. 

Alternate Interior Angles are formed only when,

The pairs of Alternate Interior Angles in this given figure are —

These are the only two pairs of Alternate Interior Angles.

(Question 3)

Alternate angles that lie in the exterior region of both the lines are called alternate exterior angles. 

Alternate Exterior Angles are formed only when,

The pairs of Alternate Exterior Angles in this given figure are —

These are the only two pairs of Alternate Exterior Angles.

(Question 4)

In this given Figure, Line segment AB is parallel to Line segment CD.

∠1 = 154°   [Alternate Interior Angles]

∠2 = 180 - 154°   [Linear Pair]

     = 26°

(Question 5)

In this given Figure, Line segment AB is parallel to Line segment CD.

∠1 = 97°   [Corresponding Angles]

∠2 = 82°   [Corresponding Angles]

∠3 = 180 - 97°   [Linear Pair]

    = 83°

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

B

Step-by-step explanation:

is b because its that and I did the assiment

Answer: It's 7

Step-by-step explanation: Since all the sides are the same and it says JK is 7 inches HL must also be 7 inches.

Hope It helped!