2 balloons and 3 cakes = £16
4 balloons and 4 cakes = £24

Answers

Answer 1

Answer:

1 balloon is = £2 and 1 cake is = £4

Step-by-step explanation:

this is true because 2 balloons = £4

and 3 cakes = £12 so 4 + 12 = 16 and also

4 balloons = £8

and 4 cakes = £16 so 8 + 16 = £24

this is one of the possible answers

Answer 2

Answer:

A cake is £3.50

A Balloon is £2.75

Step-by-step explanation:

Let b be balloons and c be cake

2 balloons and 3 cakes = £16 = 2b + 3c = 16

4 balloons and 4 cakes = £24 = 4b + 4c = 25

First times -2 to the first equation

-4b - 6c = -32

4b + 4c = 25

Now let's find c first by adding the two equations together.

-2c = -7

c = £3.50

Now put 3.50 back in the c

4b + 4(3.50) = 25

4b + 14 = 25

4b = 11

b = £2.75


Related Questions

a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?

Answers

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

                             = 10692 cubic inches

What are the equations for the horizontal and vertical lines through (−2, 0)?

A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0

Answers

The answer is A, vertical is x=-2 and y=0.

What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points

Answers

Answer:

(-2,9)

Step-by-step explanation:

Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Given

[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15

= [tex]\frac{5y+3y+9}{15}[/tex]

= [tex]\frac{8y+9}{15}[/tex]

(b)

Given

[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8

= [tex]\frac{3x-2x-10}{8}[/tex]

= [tex]\frac{x-10}{8}[/tex]

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Step-by-step explanation:

(a)  y/3 + (y + 3)/5

     The LCD of 3 and 5  is 15 so we have:

     5y/15 + 3(y + 3)/15

      = (5y + 3(y + 3)) / 15

     = (5y + 3y + 9)/15

     = (8y + 9)/15.

b)  3x/8 + (x + 5)/4

     The LCD of 4 and 8  is 8 so we have:

     3x/8 + 2(x + 5)/8

      = (3x + 2x + 10) / 8

      = (5x + 10)/8.

     

Hello can someone plz help me? Plz show your work

Answers

4 times 7 is 14 so I think the answer is 14. So diane played 14 minutes more than Sandra. So I think the answer is 14!

Step-by-step explanation:

Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;

4=x(Sandra)

Diane= 7(x)

=7(4)

=28

Find m A) 70°
C) 42°
B) 145°
D) 130°

Answers

Answer:

42 degrees

Step-by-step explanation:

Angles E and G are equal.  Therefore, 8x - 6 = 7x, and x = 6.

Then the measure of angle G must be 7(6), or 42 degrees.

Please help because I have to submit this this week

Answers

Answer:

67

Step-by-step explanation:

its a 90 degree angle so u have to do 90-23 which equals to 67

What is the answer to 1552+452

Answers

Answer:

2004

Step-by-step explanation:

hope this is helpful

Answer: it is 2004

Step-by-step explanation:

Multiply. Write your answer as a fraction in simplest form.
−1(45)=
asap

Answers

Answer:

-9/20

put 45 over 100, then divide them both by 5.

Find x. PQR = MNR ...............

Answers

Answer:

x = 55

Step-by-step explanation:

<QRP = <NRM because of vertical angles

To find <NRM:

x + 35 + 90 = 180

x + 125 = 180

x = 55

<NRM = 55

<QRP or x = 55

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

What is a equivalent expression to z+z+z+z

Answers

Answer: 4z or z * 4 or 4 * z

*all three expressions above are the same and correct pick which ever one you want to use

Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3​

Answers

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin^2(x)=\sin(x)[/tex]

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

[tex]2\sin^2(x)-\sin(x)=0[/tex]

We can factor:

[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]

By the Zero Product Property:

[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]

Use the unit circle to solve:

[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

Which transformation of Figure A results in Figure A′?




A.) a translation 3 units left and 4 units down.

B.) a reflection across the x-axis

C.) a counterclockwise rotation of 270° about the origin

D.) a counterclockwise rotation of 90° about the origin

Answers

Answer:

It is D

Step-by-step explanation:

It is the only reasonable answer

Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.

Answers

Answer:

The length of side c would be 26.0.

Step-by-step explanation:

Answer:

A) 26

Step-by-step explanation:

What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)

Answers

Answer:

slope = undefined

Step-by-step explanation:

To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:

[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]  

However, we can't divide by zero. This must mean that the slope of this line is undefined.

You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?​

Answers

Answer: 36%

Step-by-step explanation:

Please help me do this

Answers

Answer:

∠ U = 60°

Step-by-step explanation:

The tangent- tangent angle U is half the difference of its intercepted arcs

minor arc VT = 120° , then

major arc VT = 360° - 120° = 240°

Then

∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°

Solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

[tex]\displaystyle x \approx 16.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 16.4849[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 16.5[/tex]

To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?

Answers

Answer:

d≈14.99ft

Step-by-step explanation:

If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?

Answers

You will roll the number one 24 times.

CHOOSING BRAINLIEST ( SCREENSHOT PROVIDED )

Find the missing number to complete the linear equation that gives the rule for this table.


x | y

0 | 0

1 | 25

2 | 50

3 | 75

Answers

Answer:

y= 25

i think

Step-by-step explanation:

Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. ​ A Step 1: 92 + 152 = c2 B Step 2: 81 + 225 = c2 C Step 3: 306 = c2 D Step 4: 306−−−√ =c E Step 5: c≈17, so BCis about 17 in.

Answers

Answer: A

Step-by-step explanation:

Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate

Answers

12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8

thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8

Please help have only an hour please use picture

Answers

Answer:

The answer is C. n = 3

Step-by-step explanation:

I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.

So therefore, n = 3

Please mark brainliest if this helped.

Answer: C n=3

Step-by-step explanation:

First croas multiply the 2 and 3 to get one side

then you multiply 2n and move it to the other side so it can equal

2n=6  

2n/2=6/2

n=3

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool

Answers

Answer:

[tex]V=650.25\ yards^3[/tex]

Step-by-step explanation:

Given that,

Length = [tex]12\dfrac{3}{4}\ yards[/tex]

Width = [tex]5\dfrac{2}{3}\ yards[/tex]

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

[tex]V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3[/tex]

So, the volume of the swimming pool is equal to [tex]650.25\ yards^3[/tex].

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.

Answers

Answer:

Step-by-step explanation:

Vhich expression shows that the quotient

Answers

Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

[tex] \frac{6x - 1}{9x - 3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]

The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.





What is the area of the base of the solid that is formed?




16π in.²


36 in.²


64π in.²


144 in.²

Answers

Answer:

16π in.²

Step-by-step explanation:

i took the quiz and got it right

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