2
Peter bought some packets of sweets from a shop. Each packet of sweets cost $2.
For every two packets of sweets that he bought, he was given one packet free. If he
left the shop with a total of 31 packets of sweets, find
(a) the number of packets of sweets given free.
(1)

Answers

Answer 1

Answer:

21 packets bought, 10 packets free

Step-by-step explanation:


Related Questions

25 POINTS -4(x+2) Plz help asap

Answers

Answer:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

[tex] - 4(x + 2) = - 4x - 8[/tex]

Hope this helps ;)

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

Let f(x) = x2 − 8x + 5. Find f(−1).

Answers

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]

Can someone answer this circle equation question? PLEASE SHOW STEPS

Answers

Answer:

A

Step-by-step explanation:

oh steps are here!

Answer:

a) 5

Step-by-step explanation:

2x² - 6x + 2y² + 2y = 45

Complete the square and get it in the form (x-a)² + (y -b)² = r²

2x² - 6x +  2y² + 2y  = 45

Divide the equation by 2

x² - 3x + y² + y = 45/2

x² -  3x + ? + y² + y + ?? = 45/2

? -----> (x coefficient by 2)² = (3/2)² = 9/4

?? ----> (y coefficient by 2)² = (1/2)² = 1/4

Add (9/4) & (1/4) to both sides,

x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)

(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)

[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]

Radius  = 5

-5x+7x+8=1+3x im am looking for what makes this equation true

Answers

Answer:

x=7

Step-by-step explanation:

Start with the left side

-5x+7x+8

combine like terms

2x+8=1+3x

subtract 2x from both sides to get 8=1+x

subtract 1 from both sides to get 7

put the variable on the left

x=7

Hope this helps :-)

the inequality and express your answer in interval notation.
x^2-12x+5<0

need this asap

Answers

Answer:x^2-12x+5<0= 6

hope it helps :)

Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

1,530 cm³

Step-by-step explanation:

The figure consists of two rectangular prism or cuboid.

The dimension of cuboid 1:

[tex] l = 10cm, w = 9cm, h = 9cm [/tex]

[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]

The dimension of cuboid 2:

[tex] l = 18cm, w = 10cm, h = 4cm [/tex]

[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]

Volume of the figure = 810 + 720 = 1,530 cm³

Answer: 1,530

Step-by-step explanation:

Simplify 24y^7z^3/6yz^6

Answers

Answer: 24x^6e^4/7ry^3

Step-by-step explanation:

What is the area of the triangle pls help

Answers

Answer:

Area of a triangle =1/2bh.

1/2×8×10=40cm^2.

A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a total of $402. The system of equations below can be used to find c the cost in dollars of a cake and P the cost in dollars of a pie. What is the price of a cake?

Answers

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

Represent price of Cake with C and Price of Pie with P

[tex]C = 9 + P[/tex]

Cakes sold = 8

Pies sold = 14

[tex]Total = \$402[/tex]

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

[tex]8C + 14P = 402[/tex]

Substitute 9 + P for C

[tex]8(9+P) + 14P = 402[/tex]

Open the bracket

[tex]72 + 8P + 14P = 402[/tex]

Collect Like Terms

[tex]8P + 14P = 402 - 72[/tex]

[tex]22P= 330[/tex]

Divide both sides by 22

[tex]P = \frac{330}{22}[/tex]

[tex]P = 15[/tex]

Recall that

[tex]C = 9 + P[/tex]

[tex]C = 9 + 15[/tex]

[tex]C = 24[/tex]

Hence, the price of the cake is $24 and the price of the Pie is $15

How would I create a graph for this equation? The equation is c=4.95+3.99b

Answers

Answer:

  plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

  C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.

Answers

Answer:

Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.

Sea la longitud representada por ly el ancho por w

entonces ; l = 6 metros + w

Step-by-step explanation:

a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous

Answers

Answer:

1) Distance from their home to campus → Continuous

2) The number of siblings → Discrete

3) How many books they have read in the past month → Discrete

4) How long it took them to complete an online survey → Continuous

Step-by-step explanation:

A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.

Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus

A continuous variable is one that is a variable that if it is possible for the variable  to have values between two values, then the variable can have any of the values in between the two values

Example of a continuous variable are

The Height of people within a building

The distance traveled to a location.

Therefore, we have the following classification of the data is given as follows;

1) from their home to campus is a Continuous variable

2) The number of siblings is a  Discrete variable

3) How many books they have read in the past month is a Discrete variable

4) How long it took them to complete an online survey is a Continuous variable.

¿Cuál es la intersección con el eje y de la gráfica de la ecuación? y = X 2 - 2 X + 3?

Answers

Answer:

1

Step-by-step explanation:

la respuesta sería un por que si multiplicas el 2 y luego más tres te da un resultado como uno

Answer:

Step-by-step explanation:

A lot is 50 m by 32 m. A house 27 m by 9 m is built on the lot. How much area is left​ over?

Answers

Answer:

1357 sq.m

Step-by-step explanation:

50*32= 1600

27*9= 243

Area left = 1600 - 243 = 1357

The quotient of 64 and x

Answers

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

-2x + 4x = -4 + 0
What is the answer?

Answers

Answer:

x = -2

Step-by-step explanation:

-2x + 4x = -4 + 0

2x = -4

2x/2 = -4/2

x = -2

Hope this helps.

Answer:

The answer is -2

Step-by-step explanation:

You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.

Answers

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. This is a tree diagram that represents the probability of customers choosing the different ice cream options.

What is the value of Z?
a.)0.2
b.)0.45
c.)0.4
d.)0.35

Answers

I think it’s 0.2 I am not sure if it’s right

Answer:

What was it?

Step-by-step explanation:

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?

Answers

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)

[tex] S(9, 5) = (x_2, y_2) [/tex] (given)

[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]

[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]

[tex] PS = \sqrt{121} = 11 units [/tex]

HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES

Answers

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

Maylin is mailing a package that has the
size shown below. What is the volume
of the package? Write the expression
you used to find the volume.
7 in.
Area of base:
54 in.2

Answers

Answer:

V=378 inch³

Step-by-step explanation:

The package is in the shape of a cuboid. The volume of a cuboid is given by :

V = lbh

l=length, b=breadth and h=height

Area of base = 54 inch²

Height of box, h = 7 in

It means that, volume of the package is :

V = 54 × 7

V=378 inch³

So, the volume of the package is 378 inch³.

let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)​

Answers

Answer:

The answer is 10 .

Step-by-step explanation:

f(x) = x-3

h(x) = [tex]x^{2} +6[/tex]

Now ,

  hog(1)

=h (1-3)

=h (-2)

= [tex](-2)^{2}[/tex] +6

= 4+6

= 10

What is the value of w?

2/5 (w+5) = 4/5

Answers

Answer:

W = -3

Step-by-step explanation:

Answer:

w = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]

Multiply both sides by 5 to clear the fractions

2(w + 5) = 4 ( divide both sides by 2 )

w + 5 = 2 ( subtract 5 from both sides )

w = - 3

30 seconds of 2.5 mins in percentage

Answers

Answer:

20%

Step-by-step explanation:

2.5 min =(60×2.5)sec=150 sec

30sec to 150sec=30×100/150=20%

Answer:

20 %

Step-by-step explanation:

2.5 mins = 150 sec

30 sec of 150 sec in % = 30/150 × 100

= 20 %

what is X in the equation. -38+6x = -12x+52

Answers

Answer:

x=5

Step-by-step explanation:

add 38 to to the pther side

combine 38+52=90

add 12 to the other side

12+6=18

divide 90 by 18= 5

Identify the missing factors:

d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)

Answers

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour

Answers

Answer:

  D.  miles/hour

Step-by-step explanation:

The units analysis tells you the units are ...

  [tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]

Units of meters and seconds cancel, leaving miles/hour.

Please help me qwq In a reflection, what are corresponding angles?!

Answers

Answer: When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

if the sum of a term of an ap is 2n square + 5n then find the 4th term​

Answers

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

the fourth term is 19 !!!!!!!

WILL MARK BRAINLIEST
NEED HELP ASAP
Solve for x: 3/ 4 x+ 1 /4 =2x

Answers

Answer:

X=1/5

Step-by-step explanation:

Please see the attachment.

Answer:

Maybe? kinda confused

Step-by-step explanation:

3/4x+1/4=2x

-3/4       -3/4

  x+1/4=1 1/4

      -1/4  -1/4

           x=1

   

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