while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?

Answers

Answer 1
Write a system of equation based on the problem
⇒ Erika bought 6 postcards
    E = 6
⇒ Erika bought twice as many postcards as Nathan bought
    E = 2N
    2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
    S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
  N = 6/2
  N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards
Answer 2

The number of postcards Samantha bought is 12.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Erika bought 6 postcards

Let the number of postcards Erika bought is given by x

Erika bought twice as many postcards as Nathan bought

Let the number of postcards Nathan bought is given by y

x = 2y

Samantha bought 4 times as many postcards as Nathan

Let the number of postcards Samantha bought is given by z

z = 4y

The value of x = 6, so

6 = 2y

y = 3

z = 4y

z = 12

Postcards bought by Samantha is 12.

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Related Questions

Solve for P=b+2a+2c for b

Answers

 b + 2a + 2c = p or unknown answer,

b plus 2 times a plus 2 times c equals p the unknown answer

From there you use the strategy of guess and check to get your answer.

Which of the binomials below is a factor of this trinomial? x2 + 14x + 40

Answers

Answer:x+4

Step-by-step explanation:

Answer: x + 10

Step-by-step explanation:

Marissa said that multiplying 8.0 by 1,000,000 would increase the value of the 8 because there would be 6 more zeros after the decimal point. Explain what is wrong with marissa's statement

Answers

She is wrong because there is no decimal point in 1,000,000 therefore the zeros don’t go behind the decimal

The first quartile of a data set is 23, the median is 30, the third quartile is 33, and an outlier is 6. Which of these data values would be represented by a point in a modified box plot?

A. 30
B. 23
C. 6
D. 33

Answers

c. the outlier  will most likely be the answer to this question 
 

Answer:  C. 6

Step-by-step explanation:

A box-plot mainly represents a five number summary of :

1) lowest data value 2) largest data value 3) first quartile 4) second quartile (Median) 5) third quartile.

The modified version of box-plot displays the outliers of the data by a point  if present,

Since 6 is the outlier of the data.

Therefore the 6 is the value which would be represented by a point in a modified box plot.

Find the surface area of a cone if the height is 14 centimeters and the slant height is 16.4 centimeters.

Answers

the surface area of a cone 167 
The answer would conclude as 167.

Jamal wants to build a square pen for his dog that has an area of 144 ft². What is the length of each side of the pen?

A: 12ft
B: 15ft
C: 36ft
D: 72ft

Answers

Yeah the answer is 12. Just verifying :)

What the area of this polygon is

Answers

The answer is 6. Remember find the area if each figure then add them together. 2*2=4 Then for the triangle it would be 2*1/2*1=2 Then add 2+4=6

What is the slant height for the given pyramid to the nearest whole unit?
Pyramid base = 10 cm Height = 12 cm

A. 7 cm
B. 11 cm
C. 13 cm
D. 16 cm

Answers

Inclined height of a regular pyramid: Length of the line segment from the vertex, perpendicular to an edge of the base.
 To find it, what we should do is use the Pythagorean theorem.
 We have then:
 d = ROOT ((10/2) ^ 2 + (12) ^ 2)
 d = ROOT (25 + 144)
 d = ROOT (169)
 d = 13 cm
 Answer: 
 C. 13 cm

Answer:

13 cm

Step-by-step explanation:

Done the test.

If 20% is 3.5, what is 100%?

Answers

20% = 20/100 = 0.2

3.5 ÷ 0.2 = 17.5  ← answer
20% is 1/5 of 100%.
Multiply 3.5 by 5.

5 * 3.5 = 17.5

Oki I have a few but I’m giving a lot of points I just didn’t feel like doing them separate.
Anne wants to draw two adjacent angles on a straight line. She wants one angle to be 24 degrees more than the other angle. Select two correct choices.
A. The measure of the smaller angle is 33 degrees.
B. The measure of the smaller angle is 78 degrees
C. The measure of the larger angle is 57 degrees.
D. The measure of the larger angle is 102 degrees.

A triangle has a side 4.23 meters in length, a 63.2 degree angle, and a 75.9 degree angle. Which of the following statements about the triangle is true. Select all that apply.
A. The triangle is an obtuse triangle.
B. The triangle cannot be equilateral.
C. The triangle must have a third angle measuring 40.9 degrees.
D. The triangle should be isosceles

3. Mika used the proportion y-3 over x equals one third. (Y-3/x= 1/3). When deriving the equation on a line with similar triangles. Which of the statements are correct. Select two that apply.
A. It has a slope of negative one third. (-1/3)
B. It has a slope of one third. (1/3)
C. It has a slope of 3.
D. It has a y intercept of 3.
E. It has a y intercept of one third. (1/3)
F. It has a y intercept of 3.

This is a parallelogram shaped sliding door. It has four sides. (P,Q) (P,S) (S,R) (Q,R) and (Q,P)
More simply... Q is on the top right corner of the parallelogram, R is on the bottom right corner of the parallelogram, S is at the bottom left corner, and P is at the top left corner.
Which two of the statements are true if the door moves two feet to the right.
A. Side PQ would be parallel to SR, and angle R would measure 56 degrees.
B. Side PS would be parallel to side QR and angle S would measure 124 degrees.
C. Side PQ would be parallel to side PS and angle P would measure 56 degrees.
D. Side QR would be parallel to side SR and angle Q would equal to 62 degrees.

Last one!!

A parallelogram has the verifies (-4,2) (-3,5) (2,-2) (3,5)
The parallelogram was rotated 270 degrees counterclockwise about the origin. Which 3 would be the vertex of the origin.
A. (-3,5)
B. (-2,-2)
C. (-2,4)
D. (2,4)
E. (3,-5)
F. ( I’m rlly sry but I forgot this one)

Answers

Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°.  This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.

Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.

Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR.  These sides are not parallel to any other sides of this figure.

For the last problem, the vertices given do not form a parallelogram.  There is only 1 pair of parallel sides using these points.

The correct option is (A) (-3,5). The answer covers the relationship between angles in quadrilaterals, properties of triangles, and concepts related to similar triangles and equations.

Angles in quadrilaterals:

In the first scenario, if one angle is 24 degrees more than the other on a straight line, the correct choices are A. The measure of the smaller angle is 33 degrees and D. The measure of the larger angle is 102 degrees.

Triangles:

For the triangle with sides 4.23 meters, the correct statements are A. The triangle is an obtuse triangle and D. The triangle should be isosceles.

Similar Triangles and Equations:

When using the proportion y-3/x=1/3, the correct statements are A. It has a slope of -1/3 and E. It has a y-intercept of 1/3.

Triangle ABC has vertices A(1,4), B(???2,4) , and C(???1,???1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. What are the coordinates of C' in the dilated image? Enter your answer in the boxes. PLEASE BE RIGHT

Answers

Hello,

If you are starting with C as point (1, 1) all you have to do is multiply the coordinates by the scale factor. In this case, the scale factor is 0.25.

So we have:  0.25 x 1 = 0.25

Our new point C' will be (0.25, 0.25)

I hope this helps,
MrEQ 

n complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)

Answers

What you can do for this case is graph the data in a computer program, for example, excel and look for the trend line of the function.
 For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
 The function that best suits the problem is:
 y = 1.4004ln (x) + 0.2158
 The value of R ^ 2 indicates the accuracy of the function
 R² = 0.9691
 For R ^ 2 = 1 the function is completely accurate.
 We note that in that case R² = 0.9691, the function chosen has a good approximation.

Johnson High School has a total enrollment of 1829 students. Season tickets are sold for the basketball season and 604 students buy the tickets. About what percent of the student body purchased season tickets?

Answers

33.02%
The formula is number of students who bought the tickets
.......................--------------------------------------------------------
.......................number of students enrolled

PLEASE HELP!! Show simple working out

Answers

In order to estimate the mean, you need to choose a value to represent the number in each category of accidents. It is often convenient to use the middle value of the range.
.. (4*6 +10*10 +15*6 +20*9)/(6 +10 +6 +9) = 394/31 ≈ 12.7

There are three numbers that are their own cube roots. What are the numbers?

Answers

The 3 number should be: 0, 1 and -1. 

Final answer:

The three numbers that are their own cube roots are 0, 1, and 8.

Explanation:

The three numbers that are their own cube roots are 0, 1, and 8.

A cube root of a number is a value that, when raised to the power of 3, gives the original number. For example, the cube root of 8 is 2 because 2³ = 8. Similarly, the cube root of 0 is 0 and the cube root of 1 is 1.

So, the numbers that are their own cube roots are 0, 1, and 8.

Write a algebraic expression for the quotient of 300 and sum of b and 24

Answers

The algebraic expressions would be 300/(b + 24).  The important thing to note here is that you have a dividend and a divisor in a division problem.  The first piece of info (300) is the dividend, the numerator if you are writing it in fraction form or the first number when using the standard division sign.  The divisor is the SUM OF b + 24 which means you need to find the answer before dividing by it.  To show that you will add first, place a parentheses around it.  This is an expression, so there should be NO equals sign.  It is not a complete sentence.

The algebraic expressions for the quotient of 300 and sum of b and 24 would be; 300/(b + 24).

What is an expression?

Expression is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that a is the quotient of 300 and sum of b and 24

We have a dividend and a divisor in a division problem.  

The first piece (300) is the dividend, the numerator if we are writing it in fraction form or the first number when using the standard division sign.  

The divisor is the sum of b + 24 which means we need to find the answer before dividing by it.  

Then place a parentheses around it.

300/(b + 24).

This is an expression, there should be NO equals sign.  

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The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She wants to divide the crayons evenly between her 10 students. How many crayons will each student receive? Use c as the variable. Write an equation and solve the problem.

Answers

80 divided by 10 is c. c=8

Mr. Watkins earns $35 an hour at his new job. During a typical month, he works a total of 160 hours. Mrs. Watkins is a homemaker. After meeting the estimated monthly expenses, how much money will the family have left to spend on other items?
A) $1150
B) $1322
C) $1445
D) $1500

Answers

B.) $1322
[tex](35 \times 160) - 4278[/tex]
[tex]5600 - 4278[/tex]
[tex]1322[/tex]

Multiply: (−8x − 15)(−12x2 + 12x + 3)
A) 96x3 + 84x2 − 156x − 45
B) 96x3 + 84x2 − 204x − 45
C) 96x3 + 276x2 − 204x − 45
D) 96x3 − 84x2 − 156x − 45

Answers

The answer of this question is B.
if you want the steps you can leave a comment...

Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed belowThe water level increases by 1 inch each hour.
A The water level increases by 1 inch each hour.

B The water level increases by 2 inches each hour.

C The water level increases by a factor of 1/2each hour.

D The water level increases by a factor of 2 each hour.

Answers

B The water level increases by 2

Find 9*4 1/3 mentally using the distributive property

Answers

13/4*9
117/4

Hope this was helpful :)

Jerry started doing sit-ups every day. The first day he did 15 sit-ups. Every day after that he did 4 more sit-ups than he had done the previous day. Today Jerry did 65 sit-ups. Write an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the number of days.
Thanks

Answers

The first day Jerry did 15 sit-ups:

a0 = 15

The 2nd day he did 4 more sit-ups then the previous:

a1 = a0 + 4

The 3rd day he did 4 more sit-ups then the previous:

a2 = a1 + 4

a2 = a0 + 4 + 4

a2 = a0 + 4*4

the (n+1)-th day he did:

an = a0 + 4n

Today Jerry did 65 sit-ups means we have: an = 65 and we need to find n

a0 + 4n = 65

15 + 4n = 65

Now to solve

subtract 15 from both sides 

4n = 50

divide both sides by 4

n = 12.5


But I think this is counting the first day

Not counting the first day would be

4n = 65

n = 16.25


I guess that's the answer :)

The equation of A=25w Gives the area A (In square feet) of a rectangular dance floor with a width of W feet

Answers

This would be A = 25W  ft^2

Somebody Really Help On These Questions 5 and 6!!!!!!!!!!!!!!!

Answers

The first question is.
6 + 6 = 12
n is the same thing on both sides of the equation
6 + 6 - n = 12 - n
You are taking an equal amount off both sides so the left and right sides are both equal still. Try it. Let n = 0.5

6 + 6 - 0.5 = 12 - 0.5
6 + 5.5 = 11.5
11.5 =? 11.5
They are both equal. In algebra a letter in an equation like this one can't change values if that letter is on opposite sides of the equation.

Six
9.5 y + 600 <  900
9.5 y = 300
y < 300 / 9.5
y < 31.57
If there's no sales tax where he lives, he can take 31 students. If it is possible to take 0.57 of a student then he can take 32 (but of course it isn't possible).

What is the area of the triangle in this coordinate plane

Answers

even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 

this figure is 1/4 of a circle what is the best approximation for the perimeter of the figure use 3.14 to approximate pi

A) 3.1

B) 6.3

C) 7.1

D) 12. 3

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since  we know that

The figure is known as "Quadrant" in which angle is 90° .

As we know that "Length of an arc":

[tex]Length=\frac{\theta}{360\textdegree}\times 2\times 3.14\times r\\\\Length=\frac{90\textdegree}{360\textdegree}\times 2\times 3.14\times 2\\\\Length=\frac{1}{4}\times 12.56\\\\Length=3.14[/tex]

Perimeter of the figure is given by

[tex]3.14+2+2=7.1[/tex]

Hence, Option 'C' is correct.

Answer:

c

Step-by-step explanation:

i took the test 4 days ago

What is the answer for 3÷3134

Answers

It should be 1044
I don't know for sure
0.0009545 is the answer

The square of a positive number decreased by twice the number is 48. Find the number

Answers

The number is 8.
8^2-16=48

If 2/3 of N is 4, then 1/2 of N is

Answers

1/2 of it would be 6.

2/3N = 4.
3(2/3)N = (4)3
2N = 12
N = 6
1/2N = 6/2 = 3

using the graph above, explain the meaning of the following coordinate pairs and decide if it belongs to jazmine or kiara

Answers

Could this be of any help?
I believe in you. You can do this. If you maybe reread it or even ask a teacher about.
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