bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamps is 33 cents?

Answers

Answer 1

Answer:

The least number of stamps required is [tex]9[/tex]

Step-by-step explanation:

Let the number of [tex]3[/tex] cent stamps be [tex]x[/tex] and [tex]4[/tex] cent stamps be [tex]y[/tex]

We have

[tex]3x+4y=33[/tex]

The minimum number is obtained when more  [tex]4[/tex] cent stamps are used

Here [tex]y[/tex] cannot be greater than [tex]8[/tex] since [tex]\frac{33}{4} <9[/tex]

Substitute [tex]y=8[/tex]

[tex]3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}[/tex]

Not possible since [tex]x[/tex] is not a fraction

Substitute [tex]y=7[/tex]

[tex]3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}[/tex]

Not possible since [tex]x[/tex] is not a fraction

Substitute [tex]y=6[/tex]

[tex]3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3[/tex]

Possible

Hence minimum number of stamps is

[tex]=x+y\\\\=3+6\\\\=9[/tex]


Related Questions

Pls help. I need it asap

Answers

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

helppp pleaseeeeee I don’t understand

Answers

Answer: x=32, y=45, z=45

Step-by-step explanation:

Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.

Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.

Х
Note: Enter your answer and show all the steps that you use to solve this problem
in the space provided.
389
21
21
Drawing not to scale
What is the value of x?
Math symbols
Relations

Answers

Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°


A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?

Answers

2:5 = 2+5=7
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125

Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...

Answers

Answer:

The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D

winch one is biger
4/9 0r 1/12

Answers

Answer:

4/9

Step-by-step explanation:

I did the butterfly method to see which one is the bigger one

Answer:

4/9

Step-by-step explanation:

Angel plans to get his new product into Walmart. If he plans to sell 10,000 units to Walmart at $45 each, but Walmart negotiates a 20% discount, how much revenue has Angel lost compared to his original plan?

Answers

Answer:

90,000

Step-by-step explanation:

First you want to know how much money Angel plans to earn so you multiply 10,000 * 45 and that is 450,000. Then you find the 20% discount that Walmart negotiated so you turn 20% into a decimal. 20% as a decimal is 0.20 or 0.2. You then multiply 0.2 * 450,000 to get 90,000 which is the amount Walmart is discounting off. And if you need to find how much Angel is getting after the discount, subtract 90,000 from 450,000! :D I hope this helps!!

10(x-2)+(6x-6)
Linear equations

Answers

Answer:

that's my answer

Step-by-step explanation:

16/60

please comment if I'm wrong

The answer to you problem is 2(8x - 13)

The graph of part of linear function g is shown on the grid.

Which inequality best represents the domain of the part shown?

Answers

Answer:

F

Step-by-step explanation:

open circle at (-9,3) means the symbol must be either < or >

closed circle at (2,-6) means the symbol must be either ≤ or ≥

the x-values of each ordered pair above represent the domain {-9 and 2}

What is the equation of a line that goes through points (4,-5) and (-4, 1)?​

Answers

Answer:

y=-3/4x-2

Step-by-step explanation:

y=mx+b form (slope intercept form)

1) find slope

(4,-5) and (-4,1)

1-(-5)=6

-4-4=-8

m=6/-8 or 3/-4

y=-3/4x+b

Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)

in this case, I'll plug in (4,-5).

-5=-3/4(4)+b

Note that I substituted the y and x variables in place of one of the coordinates.

find b=-2.

Result: y=-3/4x-2

Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:30 tacos and 70 burritos

Step-by-step explanation:

inequality 1: y≤110−x shade down

inequality 2:y≥80− 1/2x Shade up

Answer (30,70)

5y+12>62 solve for y

Answers

Answer:

y>10

Step-by-step explanation:

5y+12>62

Subtract 12 on both sides

5y > 50

Divide 5 on both sides

y  > 10

Answer:

y>10

Step-by-step explanation:

First, let's subtract 12 from both sides:

5y+12-12>62-12

Then let's simplify:

5y>50

Now let's divide both sides by 5:

5y/5>50/5

And then simplify to get our answer y>10

Hope this helped

Can someone help me with this
giving out brainliest

Answers

Answer:

C

Step-by-step explanation:

Step 1: plot your 2 known points, (-2,3) and (1,0)

Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.

Step 3: check to see if C is a correct answer, (4,-3)

C is the answer, hope that helps

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

sin2A + sin5A - sinA÷cos2A + cos5A + COSA=Tan2A​

Answers

Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?

A) 60cm³

B) 84cm³

C) 72cm³

D) 98cm³​

Answers

Answer:

84cm cubic.

Step-by-step explanation:

That is how it is done.Hope it will help.

A car travels at an average rate of speed of 60 miles per hour for 72 hours. How many miles does
this car travel?

Answers

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

1,7,19,37,61,91,127,169…

Answers

Answer:

Sequence sum? but it has no right sequence

through (-4 0) perp y=2x-4 point slope form

Answers

y=(-1/2)x-2
Look at paper for work

Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31

Answers

The measure of side GH is 50.486 units.

Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:

[tex]\angle C \cong \angle F[/tex] (1)

[tex]\angle E \cong \angle H[/tex] (2)

[tex]\angle D \cong \angle G[/tex] (3)

Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:

[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)

If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:

[tex]GH = \frac{FG\cdot DE}{CD}[/tex]

[tex]GH = \frac{31\cdot 11.4}{7}[/tex]

[tex]GH = 50.486[/tex]

The measure of side GH is 50.486 units.

To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965

Answer:

2(x + 3) + 4(9x + 8) = ?

Answers

Answer:

38x + 38

Step-by-step explanation:

graph 56x- 19= -8y + 5

Answers

Answer/Step-by-step explanation:

Solve

Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:

[tex]56x-19=-8y+5[/tex]

[tex]56x-19+19=-8y+5+19[/tex]                           [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]                                            

[tex]56x=-8y+24[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex]                                                 [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex]

[tex]\bold{x=\frac{-y+3}{7}}[/tex]

Graph

Now, we can graph. Graph the line using the slope and y-intercept, or two points.

[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]

[tex]x\\0\\1[/tex]   [tex]y\\3\\-4[/tex]

A horse's mane grows at the rate of 6 over 5 centimeters per month.

How many months will it take the horse's mane to grow 24 over 10 centimeters?

Explain your answer using words, and show your work using division of fractions.

Answers

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

What is the volume of a pencil

Answers

around 19.05 centimeters or 7.4 inches

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other

Answers

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5

Answers

Ratio: 2/23 : 1/x

x is $11.5

So 1 pound of jelly beans cost $11.5

3/17 : 1/x

x is 5.67

So 1 pound of almonds cost $5.67

Answer:

Jellybeans are $2.25 per pound

Almonds are $1.25 per pound

Step-by-step explanation:

Let x = jelly beans Let y = almonds

Equation 1

5x + 3y = 15

Equation 2

2x + 6y = 12

Multiply Equation 1 by negative 2 to give

-10x - 6y = -30

Add this to Equation 2 to eliminate y

-10x  - 6y = -30       2x + 6y = 12

The y is eliminated leaving

-8x = -18

Divide both sides by negative 8 to give

x = 2.25

Substitute this value back into Equation 2 to solve for y

2x + 6y = 12    2(2.25) + 6y =12 .   4.50 + 6y = 12

Subtract 4.50 from both sides of the equation to give

6y = 7.50

Divide both sides by 6 to solve for y

y = 7.50/6

y= 1.25

Someone help me out pls

Answers

answer is 120 bc if the two sides are equal, so are the angles. add those and subtract that from 180 (area of a triangle) and get 120

A football team had 55 players at the start of the season

Answers

They would likely have 55 players at the end of the season

A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?

Answers

Answer:

2,771

Step-by-step explanation:

24 x 114 = 2736 + the 35 they threw away = 2,771

Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.

Answers

Answer

1/3

Step-by-step explanation:

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