Brielle and Joshua are running a half marathon race, which is
13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles
and Joshua 18 minutes to run 1.5 miles. If they run at the
same speed for the entire shift, who will run the marathon
faster? How many minutes will it take each of them to run the
race?​

Answer:

1066528471

Step-by-step explanation:

[tex]\frac{6,666,666*666,666}{1+2+3+4+5+6+5+4+3+2+1}[/tex]  -  [tex]\frac{777,777*777,777}{1+2+3+4+5+6+5+4+3+2+1}[/tex]

The lowest common multiple is 1+2+3+4+5+6+5+4+3+2+1, so that;

= [tex]\frac{(6,666,666*666,666)-(777,777*777,777)}{1+2+3+4+5+6+5+4+3+2+1}[/tex]

= [tex]\frac{(444443955600)-(60493706170}{1+2+3+4+5+6+5+4+3+2+1}[/tex]

= [tex]\frac{38395024940}{36}[/tex]

= 1066528471

The solution to the given question is 1066528471.

Step-by-step explanation:

_22greater than minus 2 x minus minus 72 minus 3

72 minus 22 minus 3greathan than 2x

49greatern than 2 x

Answer:

Step-by-step explanation:

[tex]\sqrt{16x^{16}}=\sqrt{16}\cdot\sqrt{x^{16}}=4\cdot x^8[/tex]

The square root of 16x¹⁶ is 4x⁸

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers

[tex]\sqrt{16x^1^6}[/tex]

Rewrite [tex]16x^1^6[/tex] as [tex](4x^8)^2[/tex]

[tex]\sqrt{ (4x^8)^2}[/tex]

Pull terms out from under the radical, assuming positive real numbers

[tex]4x^8[/tex]

Hence, the square root of 16x¹⁶ = 4x⁸

Learn more about Expressions here:

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Answer:

Step-by-step explanation:

hello,

how many students ? 14 + 2 + 5 +3 = 24

how many students who had C and S ? 14 + 2 + 5 = 21

so P(C∪S)=21/24=(7*3)/(8*3)=7/8

hope this helps

Answer:

The history instructor has made a computational error.

Step-by-step explanation:

We have that the data represents the linear correlation coefficient and notes it is 1.15

The linear correlation coefficient value which is 1.15 does tell the instructor that the history instructor has made a computational error due to the linear correlation coefficient value falls in the range -1 to +1.

Therefore, the history instructor has made a computational error.

Answer:

10 square root 2

Step-by-step explanation:

Answer: D). 10 StartRoot 2 EndRoot units

Step-by-step explanation:

Answer:

196 tickets

Step-by-step explanation:

The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:

5x ≥ 980

Dividing through by 5:

x ≥ 980

x ≥ 980/5

x ≥ 196

Therefore the producer must sell at least 196 tickets so as to make a profit

Answer:

Step-by-step explanation:

hello,

for [tex]ax^2+bx+c=0[/tex]

[tex]\Delta = b^2-4ac[/tex]

so here

[tex]\Delta = b^2-4*(-4)*(-11)=b^2-176[/tex]

to have two complex solutions we need [tex]\Delta < 0\\[/tex]

so [tex]b^2<176[/tex]

[tex]<=> b < \sqrt{176}=13.266...[/tex]

for instance we can take b = 0

hope this helps

Answer:

The correct answer is 12.

Step-by-step explanation:

i got it correct on my test, thanks to comment on the question above.

Answer:

the answer shoudl be OB 4

Answer:

(1.5 , -0.5)

Step-by-step explanation:

formula:

x_midpoint=(x1+x2)/2

y_midpoint=(y1+y2)/2

y coordinate: (-1 +4)/2

x coordinate: (-6+5)/2

Answer:

Step-by-step explanation:

y = 9x + 8

y = 7.5x + 16

1.5x = 8

x = 5.3 hours

Answer:

5.3hrs or 5hrs 18mins

Step-by-step explanation:

First, we have to put the information given to us about the money they earn into an expression

Let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.

y(kini) = 9x + 8

y(duke) = 7.5x + 16

Now we subtract the x values and the constant values

9x - 7.5x = 1.5x

16 - 8 = 8

Make these into an equation

1.5x = 8

Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.

[tex]\frac{1.5x}{1.5} =\frac{8}{1.5}[/tex]

x = 5.3hrs or 5hrs and 18 mins

Answer:

35

Step-by-step explanation:

f(x)=5x^3-2x^2+3

f(2)=5x2^3-2x2^2+3

=5x8-2x4+3

=40-8+3

=40-5

=35

Answer:

35

Step-by-step explanation:

F(x) = 5x^3 -2x^2 + 3

Let x=2

F(2) = 5(2)^3 -2(2)^2 + 3

       = 5*8 -2(4) +3

       = 40 -8+3

       = 32+3

      = 35

Answer:

The missing reason in step 5 is;

The linear pair postulate

Step-by-step explanation:

The information given are;

Column 1,                                                 Column 2

Statements,                                             Reasons

Line AB intersect DE at C,                      Given

∠DCB and ∠BCE are linear pair,           Definition of linear pair

∠DCB is supplementary to ∠BCE,         Linear pair postulate

∠BCE and ∠ECA are linear pair,           Definition of linear pair

∠BCE is supplementary to ∠ECA,         Linear pair postulate

∠DCB ≅ ∠ECA,                                      Congruent to supplementary theorem  

Therefore, the missing reason in step 5 is the linear pair postulate.

Answer:

itS A

Step-by-step explanation:

Answer:

A. The triangles are congruent by SAS.

Step-by-step explanation:

Two sides of one triangle are congruent to two sides of the other triangle. The included angles of the two triangles are congruent.

The triangles are congruent by SAS.

Answer:

h(x) = x^3

A function has an inverse that is also a function is it is a one-to-one function, a function is one-to-one if each value in the domain is linked to only one value in the range, and if each value in the range is linked to only one value in the domain.

Then, a function that is monotonous growing is always one to one, and a function is monotonous growing if the derivative is positive for all the values of x

The derivative of x^3 is:

h'(x) = 3*x^2

and as you know, x^2 is always equal or greater than zero, so h(x) = x^3 is monotonous growing, then it has a inverse that is also a function.

Answer: 7/36

Step-by-step explanation:

As you can see, 7 of the 36 squares are multiples of 5.  Also, pls brainliest, this took forever.

Answer:

B(3.5, 0.5)

Step-by-step explanation:

Given:

A(5,5), Xa=5, Ya=5

C(3,-1), Xc=3, Yc=-1

To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.

B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)

=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values

=(5/4+3*3/4, 5/4+3*(-1)/4)

=(14/4,2/4)

=(3.5, 0.5)

Answer:

(3.5, 0.5) or A

Step-by-step explanation:

Got it right

Answer:

2x5²

Step-by-step explanation:

[tex]25 = 2 \times 5 \times 5 = 2 \times {5}^{2} \\ [/tex]

Answer:

2x5²

Step-by-step explanation:

Answer:

Emily had $24 to begin with.

Fred had $21 to begin with.

Step-by-step explanation:

We know that both Emily and Fred gave Gary, who had no money, a total of $15. We also know that now they have the same amount of money (they all have $15). We simply have to add the values each person gave to Gary:

Emily: 15 + 9 = 24

Fred: 15 + 6 = 21

Answer:

a, Side DE and side AB have to be equal to keep the order of AAS.

b, AC and DF have to be equal for the same reason.

Answer:

Down

Stretched by a factor of 2

Step-by-step explanation:

The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given is a function, y = [tex]\sqrt[3]{x}[/tex] being transformed into y = [tex]\sqrt[3]{8x} -3[/tex]

We see, that, in the function, 3 is being subtracted from x, we mean the translation is right along the x-axis

And, ∛x is converted into 2∛x, that shows a stretched in the graph,

Hence, The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

For more references on transformation, click;

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Answer:

a) [tex]\angle G = 125^\circ[/tex]

b) AG = 15 units

c) Perimeter of polygon SUBAG = 78 units

Step-by-step explanation:

Given:

Polygon ROTFL ~ Polygon SUBAG

Similar polygons mean they have similar angles and the ratio of corresponding sides and ratio of their perimeter are equal.

Part A:

Given that

[tex]m\angle R = 100^\circ\\m\angle O = 120^\circ\\m\angle T = 75^\circ\\M\angle L = 60^\circ[/tex]

[tex]m\angle L+M\angle L = 180^\circ\\\Rightarrow m\angle L=180-60=120^\circ[/tex]

Sum of all interior angles of a pentagon is [tex]540^\circ[/tex]

[tex]m\angle R+m\angle O+m\angle T+m\angle F+m\angle L=540^\circ\\\Rightarrow 100+120+75+m\angle F+120=540^\circ\\\Rightarrow m\angle F=125^\circ\\[/tex]

Due to similarity property of the two pentagons, [tex]\angle F =\angle G = 125^\circ[/tex]

Part B:

Ratio of corresponding sides is equal.

Given the sides SU = 12, RO = 8 and FL = 10 units respectively.

[tex]\dfrac{SU}{RO}=\dfrac{AG}{FL}\\\dfrac{12}{8}=\dfrac{AG}{10}\\\Rightarrow AG = 15\ units[/tex]

Part C:

Ratio of corresponding sides must be equal to ratio of perimeter of the two polygons:

[tex]\dfrac{RO}{SU} = \dfrac{\text{perimeter of ROTFL}}{\text{perimeter of SUBAG}}\\\Rightarrow \dfrac{8}{12} = \dfrac{52}{\text{perimeter of SUBAG}}\\\Rightarrow \text{perimeter of SUBAG} = 52 \times 1.5\\\Rightarrow \text{perimeter of SUBAG} = 78\ units[/tex]

So, the answers are:

a) [tex]\angle G = 125^\circ[/tex]

b) AG = 15 units

c) Perimeter of polygon SUBAG = 78 units

Answer:

the true statements are A. The range for this function is the set (-5) D. The domain for this function is the set(-5)

Answer:

-19

Step-by-step explanation:

-19 is the absolute value of 19

hope this helps

Answer:

sum = +13

Step-by-step explanation:

The possible factors of 48 are

{1,2,3,4,6,8,12,16,24,48}

Of these, the pair 3,16 gives a sum of 19 and a product of 48.

We are given that 16 (greater absolute value) is positive, so 3 is negative.

The sum of the two is therefore 16-3 = 13

Answer:

The answer is A.

Step-by-step explanation:

I hope this helps!

Answer:

y=-3

Step-by-step explanation:

This is a horizontal line

Horizontal lines are of the form

y=

The y value is -3

y=-3

━━━━━━━☆☆━━━━━━━

▹ Answer

A. y = -3

▹ Step-by-Step Explanation

Y is represented by a horizontal line and it passes through the point -3 therefore, the answer is y = -3.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

no, it does not

Step-by-step explanation:

Hello

-x+4y=-5

so

[tex]4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}[/tex]

we say that y varies directly with x if y=kx

in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation

hope this helps

Answer:

(x+6)(x^2+8)

D

Step-by-step explanation:

x^3 + 6x^2 + 8x + 48=

x2(x+6)+8(x+6)= take x+6 common factor

(x+6)(x^2+8)

Answer:

72x^8

Step-by-step explanation:

Product of ;

3 √(16x^7) * 3 √(12x^9)

Let’s factor out all perfect squares in the roots

3 √(16 * x^4 * x^3) * 3 √(4 * 3 * x^8 * x)

Taking out the perfect squares, we have;

3 * 4 * x^2 * √(x^3) * 3 * 2 * √3 * x^4 * √(x)

72 * x^(2 + 4) * √(x^3 * x)

72 * x^6 * √(x^4)

72 * x^6 * x^2

72 * x^8