Find the mean of the data in the dot plot below.

\text{ g} gstart text, space, g, end text

The cost of a t-shirt is £3 and the cost of a hat is £2.

What is a linear equation?

When an equation contains one or more variables with exponents as 1 then such equations are linear equations.

For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.

Let the cost of a t-shirt is £m and the cost of a hat is £n.

Formulate two linear equations using the given statements in the question.

[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]

Obtain the value of m from equation (1).

[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]

Substitute the obtained value of m into equation (1) and find n.

[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]

Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.

[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]

Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.

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Answer:

it's area is 1/2 b×h

1/2×7×3.8

13.3

Answer:

13.3 ft^2

Step-by-step explanation:

area = base x h / 2

A = 7 x 3.8 / 2

A = 26.6 / 2

A = 13.3 ft^2

Answer:

1/2

Step-by-step explanation:

(9/11)÷(5/6)

= 9/11×6/5

= 54/55

Answer:

40

Step-by-step explanation:

100/10*2*4/2

10*2*4/2

20*4/2

20*2

40

If this helps please mark as brainliest

Answer:

40

Step-by-step explanation:

100/10=10

10*2=20

20*4=80

80/2=40

Answer:

3,138

Step-by-step explanation:

hope this helps!

Answer:

9

Step-by-step explanation:

3×2² -2×2 +1 = 3×4-4+1=12-4+1=9

Answer:

9

Step-by-step explanation:

Substitute x = 2 into the expression

3(2)² - 2(2) + 1

= 3(4) - 4 + 1

= 12 - 4 + 1

= 8 + 1

= 9

Answer:

b=4.67ft

Step-by-step explanation:                                                                                    The steps are in the picture below.

Answer:

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

P = 3750

r = 6.35% = 0.0635

n = 365

t = 9

[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]

    [tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]

Answer  = $6641

its c

Step-by-step explanation:

Answer:

A) The mean would increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

what

Answer:

64+27=97+X

x =91-97

x=-6

Answer: C: x = 1/2

Step-by-step explanation:

The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

and, we have,

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.

Hence, The solution is , O c. 1/2 must be a root of the polynomial

2x² +9x-5.

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Answer:

Step-by-step explanation:

According to intersecting chords theorem:

Find the value of YZ:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]

[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]

[tex]\large\textsf{21(2x) = 42x}[/tex]

[tex]\large\textsf{21(-6) = -126}[/tex]

[tex]\large\textsf{30(x) = 30x}[/tex]

[tex]\large\textsf{30(1) = 30}[/tex]

[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]

[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]

[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]

[tex]\large\textsf{42x - 30x = 12x}[/tex]

[tex]\large\textsf{126 + 30 = 156}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]

[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]

[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]

[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]

[tex]\large\textsf{30 + 1 + 13}[/tex]

[tex]\large\textsf{30 + 1 = \bf 31}[/tex]

[tex]\large\textsf{= 31 + 13}[/tex]

[tex]\large\textsf{= \bf 44}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Seperate the shape into two. 16x2=32cm². 12x11=132cm²

So altogether it would = 164cm²

Answer:

Deserea ate more

Step-by-step explanation:

One dozen equals 12

Carla ate 1/4 of it

1/4×12/1=3

Carla ate 3 cookies

Deserea ate 1/2

1/2×12/1=6

Deserea ate 6

6 is greater than 3 so Deserea ate more

Answer:

2.423

Step-by-step explanation:

Surface that is not water: 5.1 - 3.61 = 1.49

How many times water is bigger than not water: 3.61/1.49 = 2.423

Answer:

275.4cm

Step-by-step explanation:

A = pi*r^2

r = 9

A = 3.14 * 9^2

A = 3.14 * 81

A = 275.4

Hope this helps!

Answer:

[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

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Answer:

A = 6

B = 5.5

Step-by-step explanation:

16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11

yes

Step-by-step explanation:

Answer:

a) [tex]32[/tex]

b) [tex]25[/tex]

d) [tex]30[/tex]

Step-by-step explanation:

[tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]

[tex]32[/tex]

[tex](5 \times 5 × 5)[/tex]

[tex]125[/tex]

[tex] \sqrt{ {30}^{2} } [/tex]

[tex]30[/tex]

Answer:

16 tiles

Because there are 4 parts in 4/4 and the  if you have 4 of the four parts that is 16.

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Answer:

(2,0)

Step-by-step explanation:

2x-y=4 equation 1

3x+y=6 equation 2

5x=10 eliminate y by adding equations

x=2

solve for y

2x-y=4

2(2)-y=4

4-y=4

-y=0

y=0

check answer:

3x+y=6

3(2)+0=6

6=6

Answer:

2.8 and a lot more number after that

Answer:

bro you need to look harder if its not on the internet then its nowhere

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)