Mario bought $5 worth of stamps at the post office. He bought ten more 6 cents stamps than 10 cents stamps. The number of 8 cents stamps was three times the number of 10 cents stamps. He also bought two 20 cents stamps. How many of each kind of stamp did he purchase?

Answers

Answer 1
Answer: s=number of 6 cent stamps
t=number of ten cen stamps
e=number of 8 cent stamps
w=number of 20 cents stamps=2

cost=500 cents
6s+10t+8e+20w=500
w=2 since two 20 cent stamps wer bought
6s+10t+8e+40=500
minsu 40 both sides
6s+10t+8e=460
divide both sides by 2 to simplify
3s+5t+4e+230


also
10 more 6 cent than 10 cent
s=10+t

8 cent stamps is 3 times 10 cent stamps
e=3t

sub
s=10+t
e=3t


3(10+t)+5t+4(3t)+230
30+3t+5t+12t=230
30+20t=230
minus 30
20t=200
divid 20
t=10

sub back
s=10+t
s=10+10
s=20

e=3t
e=3(10)
e=30





20 six cent
30 eight stamp
10 ten cent
2 twenty cent
Answer 2
Answer:

Answer:

20 six cent

30 eight stamp

10 ten cent

2 twenty centep explanation:


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Find the slope and y-intercept of the line.
y = 2x + 5

Answers

y = 2x + 5 is in the form of y = mx + b, where m is the slope and b is the y-intercept.

y = 2x + 5
y = mx + b

m = slope = 2
y-intercept = b = 5

The slope of the line is 2.
The y-intercept of the line is 5.

The slope and y-intercept of the line are 2 and 5 respectively.

How to find the slope and y-intercept of the line?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general form of  the equation of a line is y = mx + b,

where m is the slope and b is the y-intercept

We have:

y = 2x + 5

Comparing with y = mx + b:

slope (m) = 2

y-intercept (b) = 6

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Are all lines of symmetry also diagonals? Please help!!!

Answers

I think no, now all lines of symmetry are diagonals because it can also be horizontal and vertical.
Symmetry is also known as proportion; anything that is equal or proportion with each other.
Let’s have an example:
A square
=> in getting the symmetry of a square, we need to draw a 2 diagonal lines to each edges.
=> we can also draw 2 perpendicular lines that bisect to the edges of the square and it also provide an equal parts or proportional parts.










Answer:

i just looked it up kk

Explanation:

Not all lines that divide a figure into two congruent halves are lines of symmetry. The diagonal of a rectangle divides the rectangle into two triangles that are congruent (same size and shape). But the diagonal line is NOT a line of symmetry. ... The parallelogram, however, has NO lines of symmetry.

What is 9+10
A. 1
B. 21
C. 19
D. 1,000,000

Answers

Technically it is 19.
Say you have 9 cars.  Your friend gives you 10 more.  You now have 19.

What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?

Answers

B E D M A S  MEANS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION AND SUBTRACTION
Brackets
Exponents
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If ON=5X-7,LM=4X+4NM=X-7 and OL=3Y-4 find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. a. x = 11,y = 8/3
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3

Answers

To find the value of x and y we should know the properties of the Parallelogram.

Parallelogram

A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.

Given to us

  • ON=5X-7,
  • LM=4X+4,
  • NM=X-7,
  • OL=3Y-4


Solution

For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,

  1. LM = ON, and
  2. OL = NM.

Equation 1

Substituting the value in equation 1,

LM = ON\n4x+4 =5x-7\n4x-5x =-7-4\n-x =-11\n x = 11

Equation 2

Substituting the value in equation 2,

OL = NM

3y-4=x-7

Substituting the value of x

3y-4=(11)-7\n3y-4=11-7\n3y = 11-7+4\n3y = 8\ny=(8)/(3)

Hence, the value of x and y should be 11 and  (8)/(3) for LMNO to be a parallelogram.

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The answer is a.

5x-7 = 4x+4   solve for x

substitute  x in (x-7) to get 11-7

3y-4 = 11-7    solve for y

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Which of the following statements are true? Select all that apply.

A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answer:

Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:

Total charge for Rock the House Digital Designs = 500 + 50h

Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:

Total charge for Elegance Home Architects = 75h

A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h

B) Option B is correct because the total charge for Elegance Home Architects = 75h

C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500

D) For a period of 15 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250

Total charge for Elegance Home Architects = 75h = 75(15) = $1125

Option D is correct because Elegance home architect would be cheaper

E) For a period of 40 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500

Total charge for Elegance Home Architects = 75h = 75(40) = $3000

Option D is correct because Rock the House Digital Designs would be cheaper