A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to
find the number of pencils (x) and pens (/) he bought?
Ox+ 1.5y = 7
X + y = 6
O 1.5x + y = 7
x=6y
Ox + 2y = 7
6x = 1.5y
O 2x + y = 7
6x = 1.5y

Answer:

s = 4t

Step-by-step explanation:

Let number of shoelace produced be S and time taken to produce then be T

If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:

S∝T

S = kT where

k is the proportionality constant

If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3

The relationship above on substitution becomes

12 = 3k

k = 12/3

k = 4

If the proportionality constant is 4, then the equation representing the relationship will be:

s = 4t

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Answer: y = 4x (y = shoelaces & x = minutes)

Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).

Answer: It Depends

Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.

However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.

However, if the input appears more than once, you must check to see whether the output is the same or different.

Answer:

angle QPN and angle TSP is the corresponding angle.

Answer:

Step-by-step explanation:

We have 2 clusters of angles here: one with S in the middle and one with P in the middle. Corresponding angles means that within each cluster, 2 angles are sitting in the same position, one in each cluster. Angle QPN is corresponding to angle TSP because both of the angles are sitting below line UN, and each is sitting to the right of its transversal.

Answer:

a₁ = 1; r = 3

Step-by-step explanation:

a₁ represents the first term. It is 1 in this case.

r represents the common ratio between terms. In this case it's 3 / 1 = 3.

Answer:

a1 = 1

r = 3

Step-by-step explanation:

a1 = first term = 1

r = common ratio = 2nd term/1st term

  = 3/1

r = 3

Answer:

Step-by-step explanation:

y = {9, 10, 11}

x = {2, 3, 4 , 5}

Maximum value of x +  y = 11 + 5 = 16

Minimum value of  y -x = 9 - 2 = 7

[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]

Answer:

The weight of Shanu's dog now is 21.375 pounds.

Step-by-step explanation:

We are given that Shaun's dog weighs 22 One-fourth pounds. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound.

And we have to find the weight of the dog after exercise.

The Original weight of Shaun's dog = [tex]22 \frac{1}{4}\text{ pounds}[/tex]

Converting the above mixed fraction into an improper fraction we get;

[tex]22\frac{1}{4} = \frac{(22 \times 4)+1}{4}[/tex]

      =  [tex]\frac{89}{4} \text{ pounds}[/tex]

Now, it is stated that after walking an extra mile every day, Shanu's dog lost Seven-eighths of a pound, that is = [tex]\frac{7}{8} \text{ pound}[/tex]

So, the weight of Shanu's dog now = Original weight - Weight after exercise

           =  [tex]\frac{89}{4}-\frac{7}{8}[/tex]

Making denominator same for both the fractions;

           =  [tex]\frac{89\times 2}{4\times 2}-\frac{7\times 1}{8\times 1}[/tex]

           =  [tex]\frac{178}{8}-\frac{7}{8}[/tex]

           =  [tex]\frac{178-7}{8}[/tex]

           =  [tex]\frac{171}{8}[/tex]  =  21.375 pounds.

Hence, the dog weigh 21.375 pounds now.

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Answer:

[tex]x = 13 \\ [/tex]

Measure of the angles

[tex]39 \: \: degrees \\ 51 \: \: degrees[/tex]

Step-by-step explanation:

sum of the interior angles in a triangle= 180°

[tex]3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ \frac{7x}{7} = \frac{91}{7} \\ x = 13[/tex]

x = 13,

now lets work out for the angles

[tex]3x \\ 3 \times 13 \\ = 39[/tex]

[tex]4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\ = 51[/tex]

Answer:

4(x-5)(3x² +1)

Step-by-step:

Add and subtract the second term to the expression and factor by grouping.

Hope this helps!

Answer:

an = an-1 * -4

Step-by-step explanation:

First we need to find the common ratio

r = second term / first term

  = -2/ (1/2) = -4

The recursive formula is

an=an−1 * r

an = an-1 * -4

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

Answer:

Use a graphing calc or desmos.

Step-by-step explanation:

Answer:

3/16

Step-by-step explanation:

All we have to do is multiply the top with the top and the bottom with the bottom:

15(1) = 15

20(4) = 80

15/80

We have our answer, but we can simplify it by dividing top and bottom by 5:

15/5 = 3

80/5 = 16

We have our final answer, 3/16.

Answer:3/16

Step-by-step explanation:15/20 x 1/4

The numerator (the upper number) would divide the denominator (the lower number) or the denominator would divide the numerator.

15/20 x 1/4

15 and 20 have something in common which is 5.so 5 in 15 is 3,5 in 20 is 4

15/20 x1/4

3/4 x 1/4

= 3/16

Answer:

a) 2.5x + 5  b) $5

Step-by-step explanation:

We know that the rate is 2.50 an hour, and she parked for 4 hours. Multiply 2.5 by 4 to get 10. This means that she spent 10 out of 15 of her dollars on the rate, meaning the initial fee was 5 dollars.

Answer:

a. y = 2.5x + 5

b. $5

Step-by-step explanation:

y = mx + b

m = slope is the fee per hour

b = y-intercept is the fixed fee

y = 2.5x + b

We know that she paid $15 for 4 hours, so we have point (4, 15). We now replace x and y in the equation with 4 and 15, respectively, and solve for b.

15 = 2.5(4) + b

15 = 10 + b

b = 5

a. The equation is:

y = 2.5x + 5

b. The initial fee is $5

Answer:

3 1/8

Step-by-step explanation:

1. You can add the 2 halves together making 1

2. Then add a 3/4 and one 1/4 together making another 1

3. With the remaining two 1/4s, that makes another half. So at the moment, you have 2 1/2

4. Convert 2 1/2 to eighths. 2 4/8

5. Finally add one 5/8.

So the answer is 3 1/8

Jill drinks [tex]\rm 3\dfrac{1}{8} gallons[/tex] of water in a week.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

It is given in the question that Jill drinks

1/4 gallons for 3 days

1/2 gallons for 2 days

5/8 gallons for 1 day

and 3/4 gallons for 1 day

The total amount of water Jill drinks is

(1/4)*3+(1/2)*2+(5/8)*1+(3/4)*1

=(3/4)+1+(5/8)+(3/4)

=25/8

[tex]\rm = 3\dfrac{1}{8} gallons[/tex]

Therefore Jill drinks [tex]\rm 3\dfrac{1}{8} gallons[/tex] of water in a week.

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I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

Answer:

The First One

Vote for Brainless

Answer:

See below.

Step-by-step explanation:

1.  x = e^(x/y)   Taking logs:

log x =  x/y

x = y log x

Differentiating:

1 = dy/dx log x +  y * 1/x

dy/dx log x = (1 - y/x)

dy/dx =  (1 - y/x) / log x

dy/dx =  ((x - y)/ x) / log x

dy/dx = (x - y) / x log x)

2.  y^x = e ^(y - x)

Taking logs:

x log y = y - x   --------------(A)

y = x + x logy    --------------(B)

dy/dx = 1 + x * 1/y * dy/dx + 1*logy

dy/dx - dy/dx * x/y = 1 + log y

dy/dx ( (x - y) y))  = 1 + log y

dy/dx = y(1 + log y) / (y - x)

Using (A) and (B) :-

dy/dx =  x(1 + logy)(1 + logy) / x logy          The x's cancel, so:

dy/dx = (1 + logy)^2 / log y

Sorry I have to go right now..

The rest of the answers are  on the re-post of these questions

Answer:

2 points the first 3 matches then 3 points the last 2 matches

Step-by-step explanation:

12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point

They got 2 points the first 3 matches then 3 points the last 2 matches

2 + 2 + 2 (first 3 matches) = 6

3 + 3 (last 2 matches) = 6

6 + 6 = 12

Answer:

Rs 1504

Step-by-step explanation:

Mr. Rai buys for Rs 1880.

He sells it to Mr. Sherpa at 20% discount.

1880 × 20%

= 376

1880 - 376

= 1504

Mr. Sherpa buys it for Rs 1504.

Answer:

Mr. Rai will be receiving $1504 if he sells the radio for 20%.

Step-by-step explanation:

To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.

For Example:

20% = .20

1880*.20= 376

1880-376= 1504

There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.

Good luck!

Answer:

e^4 d^2

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

b^3

Step-by-step explanation:

b^-3 c^0 d^2

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

e^-4

Negative exponents flip positions

e^4 c^0 d^2

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

b^3

c to the zero power is 1

e^4 d^2

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

b^3

Answer:

d^2 e^4

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

    b^3

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

The angle MKL is equal to 155 which corresponds to the value of x=155.

The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.

In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.

From the figure we can see that,

MKL=JKL+JKM

=90+65

=155 degree

Hence the value of x is equal to 155 degree.

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Answer:

Not rounded:

97% of 970.92 = 941.7924

Rounded to maximum 2 decimals:

97% of 970.92 ≈ 941.79

Step-by-step explanation:

The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial function:

f(x) = (x – 1)(x – 1)(x + 7)

We can write it as:

f(x) = (x – 1)²(x + 7)

Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.

Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

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Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:

132 degree

Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.

Answer:

A) check attached picture

B) 272

C) 0.4478

Step-by-step explanation:

From the information given ;

A) The Venn diagram of the information can be found in the attached picture.

B) Number of students involved in both team sports and music.

n(student in sports team) = 385

n(students involved in music) = 450

Number of students involved in both music and team sport = y

Number of students not involved in either team sport or music = 87

Total number of students = 650

Therefore,

n(music alone) = 450 - y

n(team sport alone) = 385 - y

Adding the following:

n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students

450 - y + 385 - y + y + 87 = 650

922 - y = 650

922 - 650 = y

y = 272

Therefore, number of students involved in both music and team sport = 272

C) probability of being involved in team sport or in music.

P(being involved in music) = (450 - 272) / 650 = 0.2738

P(being involved in team sport) = (385 - 272) / 650 = 0.1738

P(involved in both) = 272 / 650 = 0.4184

P(involved in neither) = 87 / 650 = 0.1338

P(being involved in team sport) or p(being involved in music)

P(being involved in team sport) + p(being involved in music)

0.1738 + 0.2738 = 0.4478

Answer:

21

Step-by-step explanation:

f³ + 11g - 4h

Put f as 3, g as 2, and h as 7.

(3)³ + 11(2) - 4(7)

Solve the exponent and multiply.

27 + 22 - 28

Add or subtract.

= 21

Answer:

[tex] = 21[/tex]

Step-by-step explanation:

Given that,

[tex]f = 3 \\ g = 2 \\ h = 7[/tex]

Let's solve now,

[tex] {f}^{3} + 11g - 4h \\ {3}^{3} + 11 \times 2 - 4 \times 7 \\ 3 \times 3 \times 3 + 22 - 28 \\ 9 \times 3 + 22 - 28 \\ 27 + 22 - 28 \\4 9 - 28 \\ = 21[/tex]

Answer:

Perimeter = 22.434

Step-by-step explanation:

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

side UV:

[tex]UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5[/tex]

side VW:

[tex]VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8[/tex]

side UW:

[tex]UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434[/tex]

So the perimeter is:

[tex]P = UV + VW + UW[/tex]

[tex]P = 5 + 8 + 9.434 = 22.434[/tex]

Answer:

Lower bound = 4.5cm

Step-by-step explanation:

4.5cm is the lowest number that can be approximated to 5cm

The lower bound is the smallest value that will round to the given value.

The lower bound of 5cm is 4.5 cm.

There is a lower bound and upper bound of a number.

The lower bound is the smallest value that will round to the given value.

The upper bound is the smallest value that would round up to the next value.

Example:

The lower and upper bound of the number 6 is 5.5 and 6.6.

We have,

Length = 5 cm

The lower bound is the smallest value that will round to the given value.

So,

we can have 4.5 as the lower bound since 4.5 is the smallest value that will round to 5.

The upper bound is the smallest value that would round up to the next value.

We can have 5.5 as the upper bound since 5.5 is the smallest value that will round to 6.

Thus,

The lower bound of 5cm is 4.5 cm.

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Answer:

1.( l+w)

Step-by-step explanation:

The complete question is given below

Her partial work is shown below: p = 4l + 4w + 4h

= l + w + h

h =

Which expression should follow the subtraction in Hallie’s equation?

h=l+w

Answer is 1. (l +w)

Answer:

-3

Step-by-step explanation:

Answer:

[tex]-384[/tex]

Step-by-step explanation:

n = 6 (6th term)

[tex]-3* 2^{6+1}[/tex]

[tex]-3* 2^{7}[/tex]

[tex]=-384[/tex]