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

Luke is going to reflect point R(6, 10) over the y-axis what are the coordinates for R

Answers

Answer:

R - (-6,10)

Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis

find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.

Answers

Answer:

32

Step-by-step explanation:

x=6

and it's x+x+(x+4)+(x+4)

Answer:

80cm

Step-by-step explanation:

Lets have height be x

Then the length would be x+4

So the area would be x*x+4=60

Solve: 2x+4=60, 2x=36, x=18

The height is 18 so the length is 22

The perimeter=18*2+22*2

Result: 80cm


A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?

Answers

Answer:200$

Step-by-step explanation:

Please help!!!!!!!!!!!!!

Answers

9 + (-3) = 6
Because based on the image you add 9 and subtract 3

Hope you find this helpful!
Brainliest is much appreciated!

Answer:

B and C

Step-by-step explanation:

look at comments

If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?

Answers

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

What percent is a gram of a kilogram

Answers

Answer:

0.1 percent

Step-by-step explanation:

How to solve the function problem for this one?

Answers

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

-2,75 is greater or less than -2.5

Answers

Answer: less than s less than -2.5

Step-by-step explanation:

Answer:

-2.75 < -2.5

-2.75 is less than -2.5

Step-by-step explanation:

If we were to plot these numbers on a number line, it would look like the this:

<--- (-3) --- (-2.75) --- (-2.5) --- (-2.25) --- (-2) --->

When it comes to negative numbers, the "smaller" number is actually greater.

Therefore, -2.75 is less than -2.5.

Is (3, 0) a solution to the equation y = 5x + 3? *
1 point

Answers

Answer:

no

Step-by-step explanation:

Substitute x = 3 into the equation and if the result is 0 then it is a solution

y = 5(3) + 3 = 15 + 3 = 18 ≠ 0

Then (3, 0 ) is not a solution to the equation

HELP PLZ I NEED THIS DONE ASAP

Answers

Answer:

Step-by-step explanation:

The answer would be -19

Given, y = -2[tex] {y}^{2} + 9y + 3 \\ = {( - 2)}^{2} + 9( - 2) + 3 \\ = 4 - 18 + 3 \\ = 7 - 18 \\ = - 11[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Please help 10 points

Answers

The answer should be D: a - 10 = 80.
The question gives away that she had earned more last week than this week. So the result has to be greater than £80.

If we solve for a,

a - 10 = 80

Add 10 to both sides, we get a = 90

The answer is a - 10 = 80

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

The square of a number minus twice the number is 48. Find the number.

Answers

Answer: 8 or -6

Step-by-step explanation:

x^2 - 2x = 48

x^2 - 2x - 48 = 0

(x-8)(x+6) = 0

x = 8 or -6

What is 1/4 + 10/16?

Answers

I’m pretty sure ur answer would be 0.875

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

how do you estimate the car

Answers

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet

Answers

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.

Answers

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

Answers

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2

Answers

Answer:

C. 1.2x

Step-by-step explanation:

He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:

[tex]1x+0.2x\\1.2x[/tex]

You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.

[tex]10\times1.2=12[/tex]

Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?

Answers

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

What is the y-intercept of the line?

Answers

Answer:

1

Step-by-step explanation:

It’s either 1 or 1/2, I believe it’s 1 more though so try that :)

What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?

Answers

y-y1=m(x-x1) is the point slope formula. m=3/4 and y1=-8 and x1=5. Substitute these values and you will have the answer.

can you please help me​

Answers

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16

Answers

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

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

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

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

-3 - (-5)

1+15

----------

-3 +5

16

----

2

8

rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning

Answers

A) The single biconditional statement of the given statement is;

A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) The statement made by your friend about only true conditional statements having a true contrapositive is; True

A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;

The polygon has only four sides if and only if the polygon is a quadrilateral.

That biconditional statement has combined two individual conditional statements.

Now, to our question, we are given two statements;

Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.

Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Thus, if the conditional statement is true, then we will have a true contrapositive.

Read more about contrapositives at; https://brainly.com/question/12276922

In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.

I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)

Answers

Answer:

It would be y=0.5x+1

Step-by-step explanation:

1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept

.if cant represents it no problem but just i need the answer please ​

Answers

Answer:

The solution is in the photo

Find the slope of this line.​

Answers

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help

Answers

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.

Answers

The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

[tex]Ratio =3 : 4[/tex] ---- the ratio

[tex]A = -6[/tex]

[tex]B = 2[/tex]

The student's steps are as follows:

[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]

[tex]C = \frac 34 (8) + (-6)[/tex]

[tex]C = 6 -6[/tex]

[tex]C = 0[/tex]

To determine the position of point C from the given ratio, we make use of the following quotient;

[tex]Position = \frac 3{3 + 4}[/tex]

[tex]Position = \frac 37[/tex]

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

Read more about partitions at:

https://brainly.com/question/3573606

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

edge 2022

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