Total area =
Help please thanks

Answer:

$95 FOR A DRESS

Step-by-step explanation:

Let's rearrange the given:

  She bought a blouse and skirt for two, a blouse and a dress for two, and a blouse for two.

     A blouse and a skirt cost $107

     A blouse and a dress cost $134

     blouse cost x dollars

The equation:

     2($107) + 2($134) + 2x = $560

SOLUTION:

   $214 + $268 + 2x = $560

   2x = $560 - $214 - $268

   2x = $78

   x = $39 for a single blouse

FIND THE COST OF DRESS:

   A blouse and a dress cost $134 - $39 for a single blouse

      $134 - $39 = $95

$95 IS THE COST OF DRESS

You must go 45 miles per hour to reach the longest distance.

The given parameters are:

When the speed increases by 1 mile per hour, the time reduces by 10 minutes.

This means that:

When

Speed = (60 + x) miles per hour

The time is:

Time = 5 hours - 10 minutes * x

Convert minutes to hour

Time = 5 hours - 1/6 * x hour

This gives

Time = 5 - x/6 hour

Hence, the car can run for (5 - x/6) hours

We have:

The distance is calculated using

Distance = Speed * Time

This gives

Distance = (60 + x)(5 - x/6)

Expand

Distance = 300 - 10x + 5x - x^2/6

Evaluate the like terms

Distance = 300 - 5x - x^2/6

Hence, the distance for 1 tank of gas is 300 - 5x - x^2/6 miles

We have:

D = 300 - 5x - x^2/6

Differentiate

D' = -5 - x/3

Set to 0

-x/3 = 5

Solve for x

x = -15

Substitute x = -15 in D = 300 - 5x - x^2/6

D = 300 - 5(-15) - (-15)^2/6

Evaluate

D = 337.5

Hence, the longest distance is 337.5 miles

We have:

x = -15

Substitute x = -15 in Time = (5 - x/6) hours

Time = (5 + 15/6) hours

Evaluate

Time = 7.5 hours

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 337.5/7.5

Evaluate

Speed = 45

Hence, you must go 45 miles per hour to reach the longest distance.

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Answer:

=> 3a

Step-by-step explanation:

=> 4a - 2a + a

=> 2a + a

=> 3a

Answer:

[tex]\boxed{\bf 3a}[/tex]

Step-by-step explanation:

[tex]\bf 4a - 2a + a[/tex]

Combine 4a and -2a = 2a.

Combine 2a and a = 3a

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

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as [tex]$y=-\frac{1}{3} x-\frac{26}{3}$[/tex].

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

Substitute [tex]$6 \& 8$[/tex] for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and 4&-2 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows, [tex]$m=\frac{6-8}{4-(-2)}$[/tex]

[tex]$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$[/tex]

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

[tex]$y-y_{1}=m\left(x-x_{1}\right)$[/tex]

Substitute [tex]$-\frac{1}{3}$[/tex] for m,-2 for [tex]$x_{1}$[/tex], and 8 for [tex]$y_{1}$[/tex] in the above equation and simplify using the distributive property as follows, [tex]y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex]

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation [tex]$y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex], and simplify as follows, [tex]$y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$[/tex]

[tex]$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$[/tex]

This is the required linear equation.

Answer: 41

Step-by-step explanation:

12+14+15= 41

Answer: the answer is 28

Step-by-step explanation:

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

Explanation:

Start at $3.50 on the vertical y axis. Draw a horizontal line until you reach the supply curve. Then drop straight down to land somewhere between 650 and 700 units supplied per day. Check out the diagram below.

A good estimate may be to use the midpoint. Add up those values and divide in half.

(650+700)/2 = 1350/2 = 675

Therefore, we estimate that 675 sandwiches per day would be supplied if the price was $3.50 per sandwich.

3.14 x² units

Step-by-step explanation:

Radius = x units. ----(given)

π = 3.14

Area of cirlce = πr²

= 3.14 * x²

= 3.14 x² units.

Answer:

area = πx² square units

Step-by-step explanation:

Formula for the area of a circle:

area = πr²,

where r = radius.

In this problem, the radius is x, so we substitute r in the formula with x.

area = πx² square units

Answer:

Step-by-step explanation:

16-2t=t+9+4t  

7=7t  
t=1

Answer: 20 of banknotes, denomination of Rs. 10 and 15 of banknotes, denomination of Rs. 20.

Step-by-step explanation:

Let the number of banknotes, denomination of Rs. 10 will be equal to x,

and the number of banknotes, denomination of Rs. 20 will be equal to y.

Hence;   [tex]\left \{ {{x+y=35\ \ \ \ } \atop {10*x+20*y=500\ |:10 \ \ }} \right. \ \ \ \ \left \{ {{x+y=35\ \ (1)} \atop {x+2y=50\ \ (2)}} \right. \\[/tex]

From (2) subtract (1):

[tex]y=15\ \ \ \ \ \Rightarrow\\x+15=35\\x=20.[/tex]

Answer:

O(x-1)2(x + 1)

Step-by-step explanation:

Answer:

√85

Step-by-step explanation:

a² + b² = c²

6² + b² = 11²

36 + b² = 121

b² = 121 - 36

b² = 85

b = √85

Answer:

Hello! The answer is [tex]b = \sqrt{85}[/tex].

Step-by-step explanation:

To solve this question, we have to use the Pythagorean theorem. We are given one of the legs and the hypotenuse. (The hypotenuse is opposite the right angle).

a^2 and b^2 represent our legs while c^2 represents the hypotenuse.

We have to substitute our values in for a^2 and c^2:

6^2 + b^2 = 11^2

This leaves us with 36 + b^2 = 121

To get b^2 by itself, we have to subtract 36 from both sides:

36 + b^2 = 121

-36             -36

This leaves us with b^2 = 85

To get just b, we have to take the square root:

√b^2 = √85

This leaves us with [tex]b = \sqrt{85}[/tex].

Step-by-step explanation:

how did you get y, when you don't know how to get x ?

the easiest way to solve this is to base on the fact that the opposite angles must be identical.

so,

2x + 32 = 4x - 12

32 = 2x - 12

44 = 2x

x = 22

and the to be sure

-8y - 14 = -5y + 4

-3y = 18

y = -18/3 = -6

or, the sum of 2 consecutive angles must be 180°.

2x + 32 - 5y + 4 = 180

2x - 5y + 36 = 180

2x - 5y = 144

-8y - 14 + 4x - 12 = 180

-8y + 4x = 206

-4y + 2x = 103

-5y + 2x = 144

- -4y + 2x = 103

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

- y 0 = 41

y = -41

-4×-41 + 2x = 103

164 + 2x = 103

2x = -61

x = -30.5

ha, your teacher either set a trap or made a mistake.

these given angles do not belong to a parallelogram.

there is no solution for x and y with these angle expressions to create a parallelogram.

every condition that has to be true creates a different and inconsistent set of solutions (and implausible ones at that creating single angles larger than 200° and even 300°, or smaller than 0°).

The statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

A cause-and-effect relationship occurs when:

Thus, the statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

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Answer:

9

Step-by-step explanation:

a,a+1,a+2,a+3,...

6(a+(a+2))=12+9(a+3)

6(2a+2)=12+9a+27

12a+12=12+9a+27

12a-9a=27

3a=27

a=9

Answer:

87

Step-by-step explanation:

The median of a data set is the value that is exactly in the middle of all other values.

To find the median of a data set, we typically list the values in order of greatest to least, and we look for the number in the middle.

Here, the list-maker has already provided the list in this order!

78, 78, 83, 85, 89, 91, 95, 98

we can see two numbers exactly in the middle here--when this happens, we take the mean/average of the two:

85 + 89 = 174

174 / 2 = 87

So, the median of this data set is 87

hope this helps! have a lovely day :)

Answer:

I don't see any option to choose from.

Step-by-step explanation:

See attached graph.

f(x) = 4( 1 /2)x can be rewritten as y = 2x.  This is a straight line with slope 2 and a y-intercept of 0.

The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 12r - 5

A) 6(2r+(-1))+1

= 12r + 6(-1) + 1

= 12r -5

B) -4(2+(-3r))+3

= -8 -4(-3r) + 3

= -5 + 12r

or

= 12r - 5

Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

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2104.50 ÷ 122 = 17.25

...

The margin of error is ±0.1706

The margin of error is a statistical solution for the amount of random sampling error in the survey results.

The 95% confidence interval means from 100 different samples computing a 95% of confidence for each sample. From this, we get the approximate value 95 of the 100 confidence intervals will contain the true mean value.

We have a sample size of n=33

The critical value of the significance level is [tex]\alpha =0.05\\z_{\frac{\alpha }{2} }=1.96[/tex]

Then our sample mean will be 2.5

then the standard deviation is 0.5

from this, we can assume that this is a normal distribution.

then our margin of error will be

[tex]E=[/tex]±[tex]z_{\frac{\alpha }{2} }\frac{deviation}{\sqrt{n} }[/tex]

⇒[tex]E=[/tex]±[tex](1.96)\frac{0.5}{\sqrt{33} }\\[/tex]

≅±0.1706 is the margin of error.

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Answer:A rational number can be written as a fraction of two integers. √23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction. 104.42 is rational because it can be expressed as 10442/100 . We can express it as this because.

Step-by-step explanation:

Answer:

Simplify 2x^2-5x-3/x^2-9

The answer is 2x+1 / x+3

Step-by-step explanation:

Simplify the expression.

Answer:

x = 35

Step-by-step explanation:

1. Add all angles

[tex]115+(x+36)+24+(2x+10)+2x[/tex]

= [tex]5x+185[/tex]

2. Match 360 and fix

[tex]5x+185=360[/tex]

[tex]5x=360-185[/tex]

[tex]5x=175[/tex]

[tex]x=175/5[/tex]

[tex]x=35[/tex]

Hope this helps

Answer:

[tex]\boxed{\sf x = 35^o}[/tex]

Step-by-step explanation:

Let's find the value of x :-

[tex]\sf 115 + x + 36 + 24 + 2x + 10 + 2x = 360^o[/tex]

Add the numbers.

Combine like terms.

Subtract 185 from both sides.

Divide both sides by 5.

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

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

To do this, we plot the weights on the x-axis, and the city MPG on the y-axis

See attachment for graph

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

The line of best fit equation is

y = bx + a

Where

b = SP/SSX = -857.75/862.94 = -0.99399

a = MY - bMX = 24.25 - (-0.99*28.94) = 53.01354

So, we have:

y = -0.99399x + 53.01354

Approximate

y = -0.99x + 53

Hence, the equation of the line of best fit is y = -0.99x + 53

This means that y = 30

So, we have:

-0.99x + 53 = 30

Subtract 53 from both sides

-0.99x = -23

Divide by -0.99

x = 23.23

Approximate

x =23

Hence, the predicted weight is 23 pounds

This means that x = 1500

So, we have:

y = -0.99 * 1500 + 53

Evaluate

y = -1432

Hence, the city MPG for 1500 pounds is -1432

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Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point E divides FG in the ratio 3:4, hence:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]x - 3.75 = \frac{3}{7}(2 - 3.75)[/tex]

x - 3.75 = -0.75.

x = 3.

For the y-coordinate:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]y - 9 = \frac{3}{7}(-12 - 9)[/tex]

y - 9 = -9

y = 0.

The coordinates of point E are (3,0).

Point H divides FE in the ratio 2:3, hence:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]x - 3.75 = \frac{2}{5}(3 - 3.75)[/tex]

x - 3.75 = -0.3.

x = 3.45.

For the y-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]y - 9 = \frac{2}{5}(0 - 9)[/tex]

y - 9 = -3.6

y = 5.4.

The coordinates of point H are (3.45,5.4).

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Answer:

The coordinates of point E are (3,0).

The coordinates of point H are (3.45, 5.4).

Step-by-step explanation:

I just got it right on the test

Answer:

Y≈4.6

Step-by-step explanation:

Because the hypotenuse is 9rad2 and the angle opposite of it is a 90. You can deduce it is a 90-45-45. From this you can tell the legs are 9. You then do 9 tan 26 to get about 4.4, and after this you subtract it from 9.

Answer:

A.) Two

Step-by-step explanation:

You can determine the amount of solutions the functions have by counting the number of intersections they have. Since the functions cross each other at two different points, there are two solutions.

Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

Answer:

  B.  y > 3x -7

Step-by-step explanation:

We can choose the correct inequality based on the y-intercept and the shading.

The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.

The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...

  y > ( ) . . . . eliminates choice A

and

  x < ( )  or  ( ) > x . . . . eliminates choice C, confirms choice B

The inequality that matches the graph is y > 3x -7.

__

Additional comment

For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...

That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.

The solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

The inequality is given as:

−np − 3 ≥ 7(c − 4)

Add 3 to both sides

−np  ≥ 7(c − 4) + 3

Divide through by -p;

This changes the inequality sign.

So, we have:

[tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

Hence, the solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

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