can someone please helppp

Answer:

Step-by-step explanation:

[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Multiply the fractions

[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]

Calculate the sum

[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]

[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]

Add the numbers

[tex] \frac{27}{8} - \frac{1}{2} [/tex]

Calculate the difference

[tex] \frac{27 - 1 \times 4}{8} [/tex]

[tex] \frac{27 - 4}{8} [/tex]

[tex] \frac{23}{8} [/tex]

Hope this helps...

Best regards!!

Answer:

The mean number of the children is 1.2

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

[tex]Mean = \frac{\sum x}{n}[/tex]

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

[tex]Mean = \frac{0 + 1 + 2 + 1 + 2}{5}[/tex]

[tex]Mean = \frac{6}{5}[/tex]

[tex]Mean = 1.2[/tex]

Hence, the mean number of the children is 1.2

Answer:

5 is the answer..

Step-by-step explanation:

simply by calculating

Answer:

306 mi^2

Step-by-step explanation:

surface area = area of base + lateral area

surface area = s^2 + 4bh/2

surface area = (10 mi)^2 + 4(10 mi)(10.3 mi)/2

surface area = 306 mi^2

Answer:

28

Step-by-step explanation:

All angle measures must add up to 180. x + 85 + 67 = 180; x = 28

For any triangle, the three angles always add to 180 degrees

85+67+x = 180

x+152 = 180

x = 180-152

x = 28

Answer:

The answer is no.

Step-by-step explanation:

The questions does no specify how many people are watching the movies each week.

Hoped this helped you out a bit! :)

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

Answer:

x-intercept = -6

Step-by-step explanation:

x - intercept is for y = 0

y - intercept is for x = 0.

We have y = -2x - 21.

Substitute:

x = 0 → y = -2(0) - 12 = 0 - 12 = -12

y = 0 → 0 = -2x - 12          add 2x to both sides

2x = -12         divide both sides by 2

x = -6

Answer:

Monthly fee that will yield the maximum monthly revenue is  $12.5

Then the value of the maximum monthly revenue is $156 250

Step-by-step explanation:

x   - value of decrease

1000x   - number of new subscribers for $x decrease

10000+1000x  - number of subscribers after $x decrease in the monthly fee

15-1x      the monthly fee after $x decrease

f(x) = (10000 + 1000x)(15 - x)           ← quadratic function

For quadratic function given in standard form:  f(x) =a(x-h)²+k  where a<0 the f(x)=k is the maximum value of function, and occurs for x=h

[tex]h=\frac{-b}{2a}\ ,\quad k=f(h)[/tex]

Expressing given function to standard form:

f(x) = 1000(10 + x)(15 - x)

f(x) = 1000(150 - 10x + 15x - x²)

f(x) = 1000(-x² + 5x + 150)

f(x) = -1000x² + 5000x + 150000                          {a=-1000<0}

[tex]h=\dfrac{-5000}{2\cdot(-1000)}=\dfrac{5000}{2000}=\dfrac52=2.5\\\\k=f(2.5)=1000(10+2.5)(15-2.5)=1000\cdot12.5\cdot12.5=156\,250[/tex]

15-2.5 = 12.5

Answer:

Monthly fee is $12.5

Value of revenue is $156,250

Answer:

8 hopefully

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

================================================

Work Shown:

450 g of butter = 60 biscuits

450/60 g of butter = 60/60 biscuits ... divide both sides by 60

7.5 g of butter = 1 biscuit

This means each biscuit needs 7.5 grams of butter

Multiply both sides by 12 to get

7.5 g of butter = 1 biscuit

12*7.5 g of butter = 12*1 biscuit

90 g of butter = 12 biscuits

Note: The figure in the problem is NOT drawn to scale.

Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)

If you look at the image I attached to my answer, we now have an isosceles triangle with angles [tex]\angle 1[/tex], [tex]\angle 1[/tex], and 32

The property of a triangle is that all angles must add to 180 degrees

[tex]\angle 1+\angle 1+32=180[/tex]

[tex]2\angle1=148[/tex]

[tex]\angle1=74[/tex]

Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!

Answer:

8: 1721 m

9: 1173 m

Step-by-step explanation:

8:

[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]

because initial velocity is 0:

[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]

9:

[tex]v_f^2 = v_i^2 + 2ad[/tex]

because velocity initial is 0:

[tex]v_f^2 = 2ad[/tex]

[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]

Answer:

do it youself

Step-by-step explanation:

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers not due to the fact that he can write it as a fraction.

Answer:

80 and 20

Step-by-step explanation:

80+80+20=180

With tables A, B and D, we have repeated input (x) values.

Table A has x = 4 repeated. So the input x = 4 leads to both outputs y = 2 and y = 7 at the same time. With any function, we must have exactly one and only one output for any given input. So this is why table A is not a function. Tables B and D are not functions for similar reasons.

Table C on the other hand has unique inputs that do not repeat. The input x = 4 only leads to y = 3, x = 6 pairs with y = 5, and x = 2 outputs to y = 7. Therefore we have a function here.

Answer: Find answer and explanation in the attached document.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tables of value: The ratio of Y to X gives the unit rate slope.

Equation: Make a table of VALUES. The ratio of  Y to X gives the unit rate and slope.

Graph: The SLOPE of the graph is also the unit rate.

Answer:

49191

Step-by-step explanation:

kakaj=122£91¥1

+££1£188282

2828282

+82882

182828

818192÷

ans=40

A cuboid is a three-dimensional shape where the volume is given by Length x width x height.

The rectangular box is a cuboid.

The book is also a cuboid

The number of box that can fit inside the box is 12.

A cuboid is a three-dimensional shape where the volume is given by Length x width x height.

Example:

The volume of a cuboid with a height of 2 cm, 3cm wide, and 4 cm length is 24 cm³.

We have,

Book:

Height = 6 cm

Wide = 15 cm

Length = 20 cm

Rectangular box:

Height = 20 cm

Wide = 30 cm

Length = 36 cm

Tha area of the box.

Area = 20 x 30 x 36 = 21600 cm³

The area of the book.

Area = 6 x 15 x 20 = 1800 cm³

The number of books that can fit in the box.

= Area of the box / Area of the book

= 21600 / 1800

= 12

Thus,

The number of box that can fit inside the box is 12.

Learn more about cuboid here:

https://brainly.com/question/19754639

#SPJ2

Answer:

t=11.6

Step-by-step explanation:

sin 43=opp/hyp

sin 43=t/17

t= sin43*17

t=11.6

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Answer:

[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

Check below the graph.

Step-by-step explanation:

Hi, for this function, check the graph below:

1) Note that in this function the value outside the brackets points how high the graph will be traced.

2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.

Answer:

The correct option is;

b) Vertically stretches by a factor 2 then flip over horizontal axis

Step-by-step explanation:

In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y

Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.

Ask yourself if it is possible to draw a single straight line through more than one point on the red curve. If it is possible, then the graph is said to fail the vertical line test. Otherwise, the graph passes the test.

In terms of algebra, any input x value leads to one and only one y output value. This is what defines a function. If you had x lead to more than one output, then we wouldn't have a function. Of course, the x value must be in the domain.

Answer:

y = 4x

Step-by-step explanation:

If you look at the graph, it is crossing the y-axis at the origin of (0, 0).  This means that the y-intercept (or the "b" in your equation of y = mx + b) will be zero.  Since it is a zero, it would not need to be in the equation.  

So, right now we have y = mx + 0, which would simply be just y = mx.

Next, remember that the "m" in this equation represents the slope.  To find the slope on a graph, it is calculated by rise over run.  If you look at your graph, starting at the origin, the rise is going up 4 units and the run is over by 1.  This makes your slope (or your "m" value) the fraction of 4 over 1 (4/1).

This slope can simply be written as 4 because we know that anything over 1 is just equal to the numerator value.

So, this makes the equation for this line in slope intercept form as the following:

y = mx + b

y = (4/1)x + 0

y = 4x

Answer:

[tex]\boxed{y=4x}[/tex]

Step-by-step explanation:

First, lets see where the line crosses the y-axis at, the line crosses the y-axis at (0, 0), the y-intercept is 0.

We can use slope-intercept form of the equation to solve.

y = mx + b

m = slope

b = y-intercept

We know b = 0

y = mx + 0

y = mx

We need to find the slope.

slope = rise/run

Take two points: (0, 0) and (1, 4)

m = (4 - 0)/(1 - 0)

m = 4/1

m = 4

The slope of the line is 4.

y = (4)x

y = 4x

Answer:

137.5 lbs.

Step-by-step explanation:

Arthur = 54 + x

Lily = x

Arthur + Lily = 6x - 280

(54 + x) + x = 6x - 280

54 + x + x = 6x - 280

54 + 2x = 6x - 280

54 = 4x - 280

334 = 4x

83.5 = x

Arthur = 54 + x

Arthur = 54 + 83.5

Arthur = 137.5

Answer:

4/3

12

44/30

Step-by-step explanation:

2/5:3/10

=2/5*10/3

=20/15

=4/3

1/2:1/4:1/6

=1/2*4/1*6/1

=4/2*6/1

=24/2

=12

2⅕:1¼:1⅕

11/5:5/4:6/5

=11/5*4/5*5/6

=44/25*5/6

=220/150

=44/30

Hope this helps ;) ❤❤❤

Answer:  see below

Step-by-step explanation:

I used a coordinate graph and placed the Ticket Booth at the origin (0, 0)

Then I chose a distance of 4 (you can choose any distance) and placed the three events equidistant from the origin by using the x- and y- axis to easily determine a distance of 4 from the origin.

(0 - 4, 0) = (-4, 0)

(0 + 4, 0) = (4, 0)

(0, 0 + 4) = (0, 4)

If the booths are placed first you would need to find the equation of a circle that contains all three points and place the booth at the center.

You do this by creating a system of three equations inputting the x,y coordinates of each booth and solving for h, k, r.

Equation of a circle is: (x - h)² + (y - k)² = r²

Step-by-step explanation:

[tex]\dfrac{w}{3}<1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{w}{3\!\!\!\!\diagup}<3\cdot1\\\\w<3\\===========================\\3w+5>11\qquad\text{subtract 5 from both sides}\\\\3w+5-5>11-5\\\\3w>6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\[/tex]

[tex]\text{If is}\ \bold{OR},\ \text{then}:\\\\w<3\ or\ w>2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w<3\ and\ w>2\Rightarrow 2<w<3\to w\in(2;\ 3)[/tex]