Darwin's best time for running 5000 metres is 16 minutes. He wants to run it in 15 minutes and 30 seconds.

What percentage reduction in time is this?

Please include explanation! ​

Answer:

5/6 or 0.83

Step-by-step explanation:

5 ÷ 6 = 0.83 or 5/6

Answer:3,13

Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13

Answer:

3,13

Step-by-step explanation:

Answer:

Option B & D

Step-by-step explanation:

Function is;

f(x) = (x - 5)³(x + 2)²

We want to find the point in thich the graph of this function touches the x-axis.

Usually, the point at which the graph touches the x-axis means that y is 0 at that point.

Thus;

(x - 5)³(x + 2)² = 0

This means that;

x - 5 = 0 and x + 2 = 0

Thus,x = -5 and x = -2

Answer:

can write it again soon as you can do it again

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

The solution is

The value of AB of the parallelogram is 13

The value of DE of the parallelogram is 7

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

The value of side CD = 13

The value of side BC = 23

The value of side AE = 16

AD = AE + ED

And , Opposite sides are parallel in a parallelogram

Now , the value of side AB = CD

So , the value of side AB = 13

And , The value of side BC = AD

So , the value of AD = 23

AD = AE + ED

Substituting the values in the equation , we get

23 = 16 + DE

Subtracting 16 on both sides of the equation , we get

DE = 23 - 16

The value of side DE = 7

Hence , the value of side AB = 13 and value of side DE = 7

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Answer:

1 equilateral triangle

Step-by-step explanation:

Given

Shape: Equilateral Triangle

Side length = 8cm

Required

Determine the number of triangles

From the question, we understand that the triangle is equilateral and the length of a side is 8cm.

This implies that the length of other sides will also be 8cm.

So, only one triangle can be constructed and their side lengths is 8cm.

Answer:

101

Step-by-step explanation:

4x+11 + 6x -1 = 180 (because they are supplementary)

10x =170

x = 17

angle L = 6(17) - 1 = 101

Angle L and Angle N are congruent. so N = 101

Answer:

x= -18

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

Answer:

Option C y = 1.5x

Step-by-step explanation:

If you look closely you will notice that there is a pattern that follows all the time. And the pattern is...

y = 1.5x

Answer:

Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8

y ≥ 34 x −8

Multiply 34 by −8.

y≥−272

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

5.8 is the correction

8.75*4=35  so $35 for shirts

and depending on how many shoes she buys but lets just say one pair

35+27.50= 62.50              so it would be a total of $62.50

Step-by-step explanation:

Step-by-step explanation:

t is time since 2010. so,

the population prediction for 2016 is :

p= 400 ( 2016-2010)+3000

p= 400 (6) + 3000=5400

the number of restaurant prediction for 2016 is.

R=6(2016-2010)+35

R=6 (6)+35=71

so, per capita (per person) there would be:

71 restaurant for 5400.

people that is :71/5400 or 0.0131 restaurant per person.

per restaurant there would be,5400/71 or 76.056 per restaurant.

population corresponding to time (t).

=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years

= 71/5400

= 0.0131

Restaurant per capita

R/P = (6t+35) / (400t + 300)

t= 2016-2010 =16

R/P = (6.16+35) /(400.16+3000)

= 131 (6400+3000)

=85/9400

=0.009042

Answer:

Its just E

I'm sorry if I'm wrong

Answer: A, C, E

Solve for all the inequalitites.

n + 5 < 9

n < 9 - 5

n < 4

∴ n = 3 is a part of the solution set.

13n < 1

n < 1/13

∴ This definitely doesn't include n = 3.

3n + 1 > 7

3n > 6

n > 2

∴ n = 3 is part of the solution because n is larger than 2.

3n > 9.5

n > 9.5 ÷ 3

n > 3.16666666

∴ n = 3 is not part of the solution set.

n - 2 < 5

n < 5 + 2

n < 7

∴ n = 3 is a part of the solution set.

Answer: 63 < N ≤ 66

Step-by-step explanation:

We have the set:

(66, 64, 65, 66]

First.

When we have an end with the signs "(" or ")" means that the element near the sign does not belong to the set, this would be an "open" end. Usually used for the symbols > and <

While the sign "[" or "]" (in some cases the symbols { and } are used instead)

means that the value next to it are included in the set. Usually used for the symbols ≤ and ≥.

Then in the set: (63, 64, 65, 66} the value 63 does not actually belong, and value 66 does belong.

Then this set is written as:

63 < N ≤ 66

Such that N is an integer number.

Answer:

= 16m2o−8mno

Step-by-step explanation:

The factored form of the related polynomial function is  (x - 1)(x - 7).  

Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

We have,

In the graph given in question, we can see that x - intercepts the axis twice.

And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.

Now, in graph;

The intercept at x = 1 ,

i.e. the solution of the x - 1 = 0  and passes through the axis.

Now,

The x - intercept at x = 7,   is the solution of x - 7 = 0 and again passes through the axis.

So, from the above statements we can say that the factored form of the related polynomial is  (x - 1)(x - 7)

Thus, we can say that the factored form of the related polynomial function is  (x - 1)(x - 7).

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Answer:

x=18

Step-by-step explanation:

S=(n-2)180

S=(5-2)180

S=3x180

S=540

540=(9x-6)+(3x+23)+95+((7x-4)+90

540=19x+198

540-198=19x

342=19x

342/19=x

x=18

Answer:

B

Step-by-step explanation:

I found this out my pluging in the points from B into the two each equation

[tex]14 = 3(4) + 2[/tex]

[tex]14 = 5(4) - 6[/tex]

Hope this helped

Answer:

x=8

Step-by-step explanation:

(X^2-8)=7x

Answer:75.3

Step-by-step explanation:

Add all the numbers then divide by how many numbers their are

Answer:

75.3

Step-by-step explanation:

You add all the numbers together and you get 452. Then you you divide 452 by how many numbers are in the set which is 6 and you get 75.2 but since there is 75.3 but no 75.2, 75.3 is your anwser.

Hope this explains a lot!!!!!!!!!!!!!!

Answer:

1. $17

2.$2

Step-by-step explanation:

Answer:

1)14+3=17

2)5-3=2

Answer:

92%

Step-by-step explanation:

100-8=92

Answer:

91%

Step-by-step explanation:

If 8% is 8 out of 100, then the rest would be 91%, out of 100.

Answer:

19- 28 over N

Step-by-step explanation:

Answer:

Here are the answers. Hope this helps you!

Step-by-step explanation:

11/12*9/22 = rational         (as the solution is 33/88 which is in p/q form with                                    q not equal to 0 and p and q as integers.)

√5 *8 = 8√5 = irrational

3 + √17 = irrational                               (sum of a rational and irrational     number is always irrational)

√3*√12 = √36 = 6= rational number

π - 2π = -π = irrational                                   (since π is irrational)

-3/8 + 3/5 = -15+24/40 = 9/40 = rational

√6/2  - 1/2 = 1/2*√6 - 1 * 1/2 = 1/2 (√6 - 1) = irrational      (in this case difference is irrational and the product is clearly irrational as well).

Answer:

x= 90 degree

y= 43 degree

Step-by-step explanation:

We have been given an isosceles triangle being two sides equal AB and AC

By the property of isosceles triangle

The sides which are equal will have same base angle

Hence, ∠ABC=∠ACB=

We know that sum of angles of triangle is  

∠ABC+ ∠ACB+∠BAC=      (1)

Since, ∠BAC is the bisector so, ∠BAD and ∠DAC are equal which is  

Now, substituting the values in (1) we get:

Now, we will consider ΔABD to find x

,∠ADB=∠ABD=

Now, Apply the sum of angles of triangle is  we get:

Answer:

x = 8[tex]\sqrt{7}[/tex]

y = 4[tex]\sqrt{21}[/tex]

Step-by-step explanation:

use the altitude rule to find the height of the triangle first

12/h = h/16

h² = 12x16

h = [tex]\sqrt{192}[/tex]

h = [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

now you can use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 12 to find 'y'; which comes out to be [tex]\sqrt{336}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{21}[/tex]

then use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 16 to find 'x'; which comes out to be [tex]\sqrt{448}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{7}[/tex]

Answer:

Slope:

y= 1/3

to find the missing length for the equation you would use b.

Step-by-step explanation:

first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:

180⁰-125⁰=55⁰

since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55°. (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 180 - 125 = 55° (supplementary angles).

I can't see the graph but I'll try anyway

Answer:

x      y

0     $20,000

1      $18,000

2     $16,200

3     $14,580

4     $13,122

5     $11,809.80