At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

Answer:

Option (A) and Option (D)

Step-by-step explanation:

Point on the parabola is (x, y).

Focus given as (2, -4) and directrix of the parabola is y = -6

Therefore, distance of the point from the directrix will be,

d = |(y + 6)|

Similarly, distance of the point (x, y) from the focus will be,

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

  = [tex]\sqrt{(x-2)^2+(y+4)^2}[/tex]

Therefore, Option (A) and Option (D) will be the correct options.

Answer:

a + (n-1)*4

Step-by-step explanation:

Day n could be any particular day located on the x-axis of the bar chart. Each bar represents the amount of cupcakes sold on each of the four days numbered from 1 to 4. The height of each bar marks the number of cupcakes sold. According to the chart attached, the number of cupcakes sold on each day is listed below:

Day 1 : 1 cupcake sold

Day 2 : 5 cupckaes sold

Day 3: 9 cupcakes sold

Day 4: 13 cupckaes sold

Studying the graph carefully fully, it will be observed that the number of cupcakes sold increases by a margin of 4 after day one.

As such the number of cupcakes sold in n days can be modeled by:

Using the Arithmetic progression formula:

Tn = a + (n-1)d

d = common difference, = 4

a = first term = 1

n = number of days

Hence, number sold in day n:

a + (n-1)*4

Arithmetic progressio

Answer:

3n−1  cupcakes

Step-by-step explanation:

Answer:

1 * 10 ^ -7

Step-by-step explanation:

Answer: It represent Parallel lines which means it have no solution which also means they never intersect.

Step-by-step explanation:

y=3x  will be going through the origin and y=3x-3  will be going through the y intercept -3.

Since the lines has the same slopes and different y intercept we will have no solutions.

Solve the equations to prove it.

First set them equal each other and solve for x.

3x - 3 = 3x

-3x       -3x

    -3 ≠ 0      

As you can see -3 does not equal 0 so there will be no solution.

Answer:

(-1/2, 1)

Step-by-step explanation:

I just used the midpoint formula, and plugged in the points. I hope this helps!

=(x^2+x^1 /2 , y^2+y^1 /2)

=(-2+1 /2 , -5+3 /2)

=(-1/2, 1)

Answer: (-0.5, -1 ) or (-1/2,-1)

Step-by-step explanation:

(-2,-5) (1,3)

To find the midpoint between these two numbers find the average of the x and y coordinates.

-2 + 1 = -1 /2 = -0.5

-5 + 3 = -2/2 = -1  

Answer:

Step-by-step explanation:

Side 1 = 1/12

Side 2 = 5/12

Side 3 = 11/12

Side 1 + Side 2 + Side 3 = P

1/12 + 5/12 + 11/12 = 6/12 + 11/12 = 17/12

Answer:

680,000

679,967 rounded to the nearest thousand is 680,000.

So, there are around 680,000 employees working for US Airlines. Hope it helps!

Answer:

680,000

Step-by-step explanation:

Look at the hundreds place if it's 5 or higher you round up the thousands place by one. Every place to the right of the hundreds place turns into a zero.

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

[tex]p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} } <P<p+z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

[tex]0.8-1.96\sqrt{\frac{0.8(0.2)}{550} } <P<0.8+1.96\sqrt{\frac{0.8(0.2)}{550} }[/tex]

[tex]0.8-1.96\sqrt{\frac{0.16}{550} } <P<0.8+1.96\sqrt{\frac{0.16}{550} }[/tex]

[tex]0.8-1.96\sqrt{0.00029 } <P<0.8+1.96\sqrt{0.00029 }[/tex]

[tex]0.8-1.96(0.01706) <P<0.8+1.96(0.01706)[/tex]

[tex]0.8-0.03343 <P<0.8+0.03343[/tex]

[tex]0.76657 <P<0.83343[/tex]

Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

Answer:

[tex]\huge \boxed{{m=6}}[/tex]

Step-by-step explanation:

Let's take two points,

(12, -4) and (13, 2).

slope = (difference of y) / (difference of x)

m = (2 - - 4) / (13 - 12)

m = (2 + 4) / 1

m = 6 / 1 = 6

The slope of the line is 6.

Answer:

6

Step-by-step explanation:

The slope is the change in y over the change in x

m = ( y2-y1)/(x2-x1)

    = (14-8)/(15-14)

   = 6/1

Answer:

Figure d)

Monopars are figures that have just one set of parallel lines.

Step-by-step explanation:

It looks like all the figures in group 1 have one set of parallel lines.  In group 2, they either have 0 or 2.  In group 3, only d has just one set of parallel lines.

So monopars are figures that have just one set of parallel lines.

Answer:

[tex]\Large \boxed{0.40 < 0.430 < 0.480 < 0.489}[/tex]

Step-by-step explanation:

First you have to see the decimal places.

Than the number of digits there is.

So this is how we make it from least to greatest!

Since there is 3 numbers after the decimals in almost all of them...

Than let’s make ‘0.40’ into 3 numbers after the decimal too.

I am sure you have heard that if you add a ‘0’ to a decimal nothing will change right?

So let’s make 0.40 into 3 numbers after the decimal just like the other numbers!

Okay so first let’s add a zero to ‘0.40’... which now this turns into ‘0.400’

Now it will be more easier to compare least to greatest!

0.400 is the least, than comes 0.430, & than would be 0.480, & finally the greatest would be 0.489

Therefore the answer is 0.40 < 0.430 < 0.480 < 0.489.

Answer:

ŷ = 6.69X - 706.18 ; 270.56; B. The predicted value is not close to the actual diastolic reading.

Step-by-step explanation:

Given the data below :

Systolic reading(x) :

117

134

150

113

138

113

144

145

Diastolic (y) :

85

74

86

55

75

80

106

841

A) Find the regression​ equation, letting the systolic reading be the independent​ (x) variable:

Using the online regression calculator :

The regression equation obtained is ;

ŷ = 6.69X - 706.18

Where ;

ŷ = dependent variable

6.69 is the gradient or slope

-706.18 is the intercept, where the line crosses the y - axis.

X - the independent variable (Systolic reading)

B.) Find the best predicted diastolic pressure for a person with a systolic reading of 146 .

ŷ = 6.69X - 706.18

ŷ = 6.69(146) - 706.18

ŷ = 270.56

Is the predicted value close to 91.0

B. The predicted value is not close to the actual diastolic reading.

Answer/Step-by-step explanation:

Given:

Line equation => [tex] 2.1x + 9.9y - 9.2 = 0 [/tex]

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

[tex] 2.1x + 9.9(0) - 9.2 = 0 [/tex]

[tex] 2.1x + 0 - 9.2 = 0 [/tex]

[tex] 2.1x - 9.2 = 0 [/tex]

[tex] 2.1x - 9.2 + 9.2 = 0 + 9.2 [/tex]

[tex] 2.1x = 9.2 [/tex]

[tex] \frac{2.1x}{2.1} = \frac{9.2}{2.1} [/tex]

[tex] x = 4.4 [/tex] (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

[tex] 2.1(0) + 9.9y - 9.2 = 0 [/tex]

[tex] 9.9y - 9.2 = 0 [/tex]

[tex] 9.9y - 9.2 + 9.2 = 0 + 9.2 [/tex]

[tex] 9.9y = 9.2 [/tex]

[tex] y = \frac{9.2}{9.9} [/tex]

[tex] y = 0.9 [/tex] (approximated)

Step-by-step explanation:

(i) 5 ≤ 2x − 4 ≤ 8 add 4 to all three expressions

9 ≤ 2x ≤ 12 divide by 2

9/2 ≤ x ≤ 6

(ii) −10 < (4 −3y)/− 5 ≤ 4 multiply all sides by -5

-20 ≤ 4 - 3y < 50 subtract 4

-24 ≤ -3y < 46 divide with -3

-46/3 < y ≤ 8

Answer:

[tex]\huge \boxed{f(-2)=6}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=-1x+4[/tex]

Switching x variable with -2.

[tex]\sf f(-2)=-1(-2)+4[/tex]

Evaluating.

[tex]\sf f(-2)=2+4[/tex]

[tex]\sf f(-2)=6[/tex]

Answer:

Step-by-step explanation:

[tex]f(x) = -1x + 4\\\\f(-2) =?\\\\f(-2) = -1(-2) +4\\f(-2) = 2+4\\f(-2) = 6[/tex]

Answer: 12

Step-by-step explanation:

2x-6+2-24=0

2x-4-24=0

2x-24=0

+24 +24

2x/24

X=12

Answer:

Step-by-step explanation:

2(x-3)+2-24=0

2x-6+2-24=0

2x-28=0

x-14=0

x=14

I don't think was a quadratic, but correct me if I was wrong because the wording of the problem threw me off a bit. Hope it helped!

Answer: The 0.09 is 1/10 of 0.9

Step-by-step explanation:

You can see by the decimal point that it moved so from 0.9 to 0.09 it has moved once.

Hi there! Hopefully this helps!

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Calculate 36 to the power of [tex]\frac{1}{2}[/tex].

[tex]\frac{1}{2} = 0.5[/tex]

[tex]36^{0.5} = 6[/tex].

Answer: The Max fun is 9, and the Min fun is -3

Step-by-step explanation:

Please follow the steps carefully;

Let us consider the function f(x,y) = xy -------------- (1)

We will apply the Lagrange multipliers to maximize the function f(x,y) subject to the constraint  g(x,y) = x^2+y^2-xy = 9

By differentiating (1) w.r.t  x,   we get fx(x,y) = y

By differentiating (1) w.r.t  y,   we get fy(x,y) = x

By differentiating g(x,y) w.r.t  x,   we get gx(x,y) = 2x - y

Also By differentiating g(x,y) w.r.t  y,   we get gy(x,y) = 2y - x

let us take

fx = λgx

where y = λ(2x - y)

y/2x - y = λ  ----------- (2)

fy =  λgy

where x = λ(2y - x)

λ = x/2y -x ----------- (2)

Let us equate (2) and (3)

y/2x - y  = x/2y -x

2y² - xy = 2x² - xy

2y² = 2x² after cancelling like terms

y² = x²

So y = ±x

Now let us substitute y = x into the given constraint

x² + y² - xy = 9

x² + x² - x(x) = 9

x² = 9

therefore x = ± 3

We can conclude that when x = ±3, ⇒ y = ±3

The corresponding points are (3,3), (-3,-3)

Substitue y = -x in the given constraint gives

x² + y² - xy = 9

x² + (-x)² -x(-x) = 9

3x² = 9

x² = 3

x = ±√3

The corresponding points are (√3,-√3), (-√3,√3)

The function value is

f(x,y) = xy

f (√3,-√3) = (√3)(-√3) = -3

f (-√3,√3) = (-√3)(√3) = -3

we get;

f(3,3) = (3)(3) = 9

and

f (-3,-3) = (-3)(-3) = 9

We can conclusively say that ;

The Maximum value of the function is 9

The Minimum value of the function is -3

cheers i hope this helped

Answer:

Its learning how to read credit card statements

Step-by-step explanation:

Learn how to read your credit card statements and control the way you process them

Answer:

A. & D.

Step-by-step explanation:

A. 8x + x = 9x

B. 9x + x = 10x

C. 10 - x = 10 - x (not like terms)

D. 5x + x + 3x = 9x

E. 7x + x + 2x = 10x

Answer:

-b[a + (c-d)^2]

-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

8 [25.75]

206

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

Work Shown:

a = 3/4

b = -8

c = -2

d = 3

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

c-d = -2-3 = -5

(c-d)^2 = (-5)^2 = 25

a+(c-d)^2 = 3/4 + 25 = 3/4 + 100/4 = 103/4

-b * [ a + (c-d)^2 ] = -(-8)*103/4 = 8*103/4 = (8/4)*103 = 2*103 = 206

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

Another way to show the steps could be

[tex]-b[a+(c-d)^2]\\\\-(-8)\left[\frac{3}{4}+(-2-3)^2\right]\\\\8\left[\frac{3}{4}+(-5)^2\right]\\\\8\left(\frac{3}{4}+25\right)\\\\8\left(\frac{3}{4}+\frac{100}{4}\right)\\\\8\left(\frac{3+100}{4}\right)\\\\8\left(\frac{103}{4}\right)\\\\\frac{8}{4}*103\\\\2*103\\\\206\\\\[/tex]

Which is more or less the same thing as the previous section.

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

So ultimately,

[tex]-b[a+(c-d)^2] = 206[/tex]

when a = 3/4, b = -8, c = -2, and d = 3.

Answer:

25,576,050 water molecules

Step-by-step explanation:

multiply 1.67 by 1021 = 1705.07

multiply 1705.07 by 15 = 25,576.05

Now multiply 25,576.05 by 1000 (thats how many milliliters are in 1 liter) = 25,576,050

The number of water molecules is 2.505 x 10²⁵.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one milliliter has about 15 drops. One drop of water has 1.67 x 10²¹ H, O (water) molecules.

Multiply 1.67 by 10²¹ = 1.67 x  10²¹

Multiply 1.67 x  10²¹ by 15 = 2.505 x 10²²

Now multiply 2.505 x 10²² by 1000 (that's how many mill liters are in 1 liter) 2.505 x 10²⁵.

Therefore, the number of water molecules is 2.505 x 10²⁵.

To know more about an expression follow

https://brainly.com/question/14106327

#SPJ2

Answer:

pata nahi

Mark me as a brainliest

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

Answer:

731 miles

Step-by-step explanation:

Proportions:

344 miles ⇒ 8 hours

W miles ⇒ 17 hours

W = 344*17/8

W = 731

Answer:

There are 15 more measles vaccines than polio vaccines

Step-by-step explanation:

Represent Polio with P and Measles with M

Given

5P + 3M = 225

P + M = 60

Required

How much is M greater than P; M - P

Make M the subject of formula in the second equation

[tex]M = 60 - P[/tex]

Substitute this in the first equation

[tex]5P + 3M = 225[/tex] becomes

[tex]5P + 3(60 - P) = 225[/tex]

Open the bracket

[tex]5P + 180 - 3P = 225[/tex]

Collect Like Terms

[tex]5P - 3P = 225 - 180[/tex]

[tex]2P = 45[/tex]

Divide both sides by 2

[tex]P = 22.5[/tex]

Substitute 22.5 for P in [tex]M = 60 - P[/tex]

[tex]M = 60 - 22.5[/tex]

[tex]M = 37.5[/tex]

Calculate the difference; M - P

[tex]M - P = 37.5 - 22.5[/tex]

[tex]M - P = 15[/tex]

Hence, there are 15 more measles vaccines than polio vaccines

Answer:

qualitative

Step-by-step explanation:

Favorite rock group is the qualitative variable because it shows an attribute. It does not depict a quantity or numbers. The favorite rock group will perform and show their ability to deliver music articles so it is showing quality not quantity. It is an attribute.

Variable is defined as the characteristic being studied so it is a qualitative variable meaning it is showing quality of the characteristic.

Answer:

0.875

Step-by-step explanation:

14÷16= 0.875

divide the mass value by 16

Answer:

1.131,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, I attached the graph.

This is a parabola, then a line and finally an horizontal line.

The vertex of the parabola is (0,0) and (2,4) is on the graph.

For the second part, draw a line which is passing by (2,4) and (0,4)

Finally, draw the line y = 4

You can see that f is continuous everywhere except in x = 4.

So, for any c real different from 4 the limit of f(x) exists.

Thank you