Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would to walk to school 3 miles away. How long does it take Ben to walk to the library?

The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)

How to find the perimeter of CDE

Given data

C ( 4, -1 )

D ( 4, -5)

E ( 2, -3 )

perimeter of CDE = CD + CE + DE

length = √(x2 - x1)^2 + (y2 - y1)^2

using C ( 4, -1 ) and D ( 2, -3 )

CD = √(4 - 4)^2 + (-1+5)^2

CD = √(4)^2

CD = 4

using C ( 4, -1 ) and E ( 2, -3 )

CE = √(4 - 2)^2 + (-1+3)^2

CE = √(2)^2 + (2)^2

CE = √8

using D ( 4, -5) and E ( 2, -3 )

CD = √(4 - 2)^2 + (-5 + 3)^2

CD = √(2)^2 + (-2)^2

CD = √8

the perimeter =  4 + √8 + √8

the perimeter =  4 + √8 + √8

the perimeter =  9.6568

the perimeter =  9.66 (to the nearest hundredth)

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Answer

1.168 ÷ 8= 0.146

2.246÷12= 0.1871

3.4328÷4=0.8582

4.729÷9=0.5254

5.8415÷5​​​​=1.168

Step-by-step explanation:

The cubic equation  y³ = -8 has the value of y = -2 which is first option.

The cubic equation given to us is y³ = -8

We can shift the power from left hand side to right hand side but the cubic power would turn cube root of -8

We know that square root of any negative number is not a real number but in case of Cube roots , This is possible and the root with negative sign and simple root

Also, when we square root any number we add ± sign but in case of cube root we only add the sign of number whose cube root is taken

y³ = -8

y = ∛-8

y = ∛(-2)(-2)(-2)

y = ∛(-2)³

y = -2

So, The cubic equation  y³ = -8 has the value of y = -2 which is first option.

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Answer:

Step-by-step explanation:

1) distribute the signs to the brackets

        2x^2 + 5 + 3x^2 - 5

2) solve

      5x^2 + 0

Hopefully, it's correct and helpful

The point t on the unit circle is ( -1/2, √3 /2 ).

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Consider the point t = - 4π/3 on the circle.

Now, the reference angle is π / 3.

- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.

Therefore, the point t(x,y) will be:

( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )

( x, y ) = ( - 1/ 2 , (√3 )/ 2 )

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The equation of line is,

⇒ y = -2x - 4

What is equation of line?

The equation of line with slope m is given by;

⇒ y = mx + b

Now, The points are;

(-2, 0) and (0, -4)

Hence, slope = (-4 - 0) / (0 - (-2) = -4 / 2 = -2

Since, Equation of line with slope (m) is;

y = mx + b

Here, Slope (m) = -2

To find the value of b we use either of the points;

Take point (0,-4)

x = 0 and y = -4

We get after substitute;

-4 = -2(0) + b

-4 = b

Hence, The equation of line is,

⇒ y = -2x - 4

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The fractional part of the quiz that he get correct will be 5/12.

From the information, Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9.

The fractional part of the quiz that he get correct will be

= 3/4 × 5/9

= 5/12

Therefore, the fractional part of the quiz that he get correct will be 5/12.

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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9. What fractional part of the quiz did he get correct?

The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The written expression is given as,

0.5 is greater than the product of −2.5 and a number.

Let a number is x.

Then, The given expression is written as;

0.5 > -2.5x

Now, We can solve as;

0.5 > -2.5x

Multiply by -1 we get;

- 0.5 < 2.5x

-0.2 < x

Hence, The graph of inequality is;

⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.

So, The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

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Answer:

A

Step-by-step explanation:

which one do you need answered look it up

His electric bill for the month of April is $76.4

The given parameters are

April 1 = 7,329 kw-hr.

May 1 = 8,284 kw-hr

Rate = $.08 per kw-hr

His electric bill for the month of April is calculated as

Bill = (May 1 - April 1) * Rate

So, we have

Bill = (8,284 - 7,329) * .08

Evaluate

Bill = 76.4

Hence, his electric bill for the month of April is $76.4

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Answers to both the subparts are as follows:

So, (A) ratio of chocolate to Rice Krispies:

Now, (B) Rice Krispies should Timothy use to make 30 cakes:

Rice Krispies used in 24 cakes: 160g

Then, Rice Krispies used on 1 cake:

So, Rice Krispies used in 30 cakes:

Therefore, answers to both the subparts are as follows:

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Answer:

1) 8

2) 3

3) 4

4) 5

5) 6

6) 2

7) 1

8) 18

Step-by-step explanation:

whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2,  which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three

Answer:

J.o.i.n p.l.z zfd-isvq-wrr

Answer:

x = -1

y = -2

Step-by-step explanation:

We are given the following equations:

[tex]y = -2x - 4[/tex]

[tex]y = 3x + 1[/tex]

As we can see, the expressions [tex]{-2x - 4}[/tex] and [tex]3x + 1[/tex] are both equal to [tex]y[/tex]. Therefore, we can equate them:

[tex]-2x - 4 = 3x + 1[/tex]

Now we can solve for [tex]x[/tex] by making [tex]x[/tex] the subject of the equation:

⇒ [tex]-2x - 4 -3x = 3x + 1 - 3x[/tex]      [Subtracting [tex]3x[/tex] from both sides]

⇒ [tex]-5x - 4 = 1[/tex]

⇒ [tex]-5x - 4 + 4 = 1 + 4[/tex]                 [Adding 4 to both sides of equation]

⇒ [tex]-5x = 5[/tex]

⇒ [tex]\frac{-5}{-5}x = \frac{5}{-5}[/tex]                                     [Dividing both sides by -5]

⇒ [tex]x = \bf -1[/tex]

Now that we know the value of [tex]x[/tex], we can calculate the value of [tex]y[/tex] by replacing the [tex]x[/tex] with -1 in any of the equations for  [tex]y[/tex] given above:

[tex]y = 3x + 1[/tex]

⇒ [tex]y = 3(-1) + 1[/tex]

⇒ [tex]y = -3 + 1[/tex]

⇒ [tex]y = \bf -2[/tex]

Therefore, the solution to the system of equations is : x = -1, y = -2.

Answer:

x = -1

y = -2

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y = -2x - 4\\y= 3x + 1\end{cases}[/tex]

Use the method of substitution to solve for x:

[tex]\begin{aligned}& \textsf{Substitute}: & 3x+1 & = -2x-4\\& \textsf{Add $2x$ to both sides}: & 3x+1+2x & = -2x-4+2x\\& \textsf{Combine like terms}: & 5x+1 & = -4\\& \textsf{Subtract $1$ from both sides}: & 5x+1 -1& = -4-1\\& \textsf{Simplify}: & 5x & = -5\\& \textsf{Divide both sides by $5$}: & \dfrac{5x}{5} & = \dfrac{-5}{5}\\& \textsf{Simplify}: & x & = -1\end{aligned}[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\begin{aligned}& \textsf{Equation}: & y& = 3x+1\\& \textsf{Substitute in $x=-1$}: & y & = 3(-1)+1\\& \textsf{Multiply the numbers}: \quad & y & = -3+1\\& \textsf{Simplify}: & y & = -2\\\end{aligned}[/tex]

Therefore, the solution to the given systems of equations is (-1, -2).

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Answer:

which step by step

rectangular table

Check the picture below.

Answer: The difference of the amounts after practice and before practices = 11/24

Step-by-step explanation:

Given data,

Initial quantity of drink = 5/6

After practice quantity = 3/8

difference of the amounts after practice and before practices

difference of amount = Initial quantity of drink - After practice quantity

                                   = (5/6) - (3/8)

                                   = (20-9)/24

 difference of amount = 11/24

Therefore,

The difference of the amounts after practice and before practices = 11/24

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Answer:

PA BRAINLEST NALANG PO HEHE

The area of the circle is approximately 78.5 square meters

The area of a shape is the amount of space on the shape

The given parameters are:

Radius = 5

The area of a circle is calculated using

A = pi r^2

In this case

pi = 3.14

So, we have:

A = 3.14 * 5^2

Evaluate the product

A = 78.5

Hence, the area of the circle is approximately 78.5 square meters

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Possible question

What is the area of a circle for model 3 where the radius is 5 meters.

Use pi approx3.14 . The area of the circle is approximately square meters

Enter only the number.

Answer:

Step-by-step explanation:

[tex]\displaystyle\\(cosec \alpha -cot\alpha )^2=\\\\(\frac{1}{sin\alpha } -\frac{cos\alpha }{sin\alpha })^2 =\\\\(\frac{1-cos\alpha }{sin\alpha } )^2=\\\\\frac{(1-cos\alpha)^2 }{sin^2\alpha }=\\\\ \frac{(1-cos\alpha )^2}{1-cos^2\alpha } =\\\\\frac{(1-cos\alpha )^2}{(1+cos\alpha )(1-cos\alpha )} =\\\\\frac{1-cos\alpha }{1+cos\alpha }[/tex]

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

Let us define x to be the cost of the meal

such that we would have

x  + 22%x =  21.96

= x + 0.22x = 21.96

1.22x = 21.96

We would have to divide through the equation that we have by 1.22

x = 21.96 / 1.22

x = 18

X is the cost for the meal that  that Frances ate before she gave the tip that she did to the waiter.

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

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Answer:

3ab²(a + 5b)

Step-by-step explanation:

3a²b² + 15ab³ ← factor out 3ab² from each term )

= 3ab²(a + 5b)

The angle number represents an angle adjacent to  ∠DGA is angle 2.

∠DGB.

When two angles share a shared vertex and side, they are said to be neighboring. The terminus of the rays that create the sides of an angle is referred to as the vertex of an angle. Adjacent angles can be complimentary or supplementary if they have a shared vertex and side.

Adjacent angles seem to be two angles that share a shared vertex and then a common side but do not overlap. Angles 1 and 2 in the figure are adjacent. They have the same vertex as well as a common side. In the diagram, angles 1 and 3 are not contiguous.

When two angles have a common side as well as a common vertex (corner point) but do not overlap, they are said to be adjacent.

Adjacent angles comprise two angles with the same arm and vertex. When two lines meet at the vertex as well as form a pair of opposite angles, vertical angles are formed. They share an arm and a vertex. They share a vertex of the arm but no arm.

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The inequality that can be used to determine x, the number of outfits Zendaya can purchase  is 329.92 + 65.65x <= 540

The given parameters are:

Budget = $540

New bicycle = $269.88.

4 bicycle reflectors = $10.57 each

Pair of a bike gloves = $17.76.

New biking outfits = $65.65 each.

Let the number of new biking outfits be x

So, we have

New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget

This gives

269.88 + 4  * 10.57+ 17.76 + 65.65x <= 540

This gives

329.92 + 65.65x <= 540

Solve the inequality

65.65x <= 210.08

Divide by 65.65

x <= 3.2

Hence, the inequality that can be used to determine x, the number of outfits Zendaya can purchase  is 329.92 + 65.65x <= 540

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The amount of sugar that the two companies charge the same is 20 tons

The cost when the two companies charge the same is $5,015

What is breakeven amount of sugar for the two companies?

The amount of sugar that the two companies charge the same is derived at the point when the total cost of both companies are the same, bearing in mind that the total cost in this case is made of fixed cost to rent truck and variable cost, which is additional fee for each ton of sugar moved.

First company:

TC=3005+100.50x

Second company:

TC=250.75x

3005+100.50x=250.75x

3005=250.75x-100.50x

3005=150.25x

x=3005/150.25

x=20 tons of sugar

Total cost of 20 tons=250.75*20=$5,015

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Full question:

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3005 to rent trucks plus an additional fee of $100.50 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.

When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.

The values of x and y in order of x are:

x  3     4    5   6   7   8   9  

y   6     7    5   4   3    4   2

As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.

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The solution to simplifying the given expression using laws of exponents is; B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity

Some of the Laws of Exponents are;

We want to simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed. This is expressed as;

(a⁻²/3b⁴)³

Using the second law of exponent quoted above, we have;

(a⁻²*³)/(3³b⁴*³) = a⁻⁶/27b¹² = 1/a⁶27b¹²

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