A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances? ​

Answer:

the final amount is 1,135

Step-by-step explanation:

The computation of the final amount is shown below:

= Amount × (1 + increased percentage)

= 1102 × (1 + 0.02)

= 1102 × 1.02

= 1124.04

Now the additional one percent increase is

= 1,124.04 × 1.01

= 1,135

Hence, the final amount is 1,135

The same is to be considered

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]

[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]

Thus, the equation is TRUE.

(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]

[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]

Thus, the equation is FALSE.

(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]

[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]

Thus, the equation is FALSE.

(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]

[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]

Thus, the equation is TRUE.

(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]

[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]

Thus, the equation is FALSE.

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

9514 1404 393

Answer:

  A = w(w +6)

Step-by-step explanation:

The length in feet will be w+6. The area is the product of length (w+6) and width (w).

  A = w(w+6)

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

Answer:

The first answer, 3 times the square root of x squared is correct.

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

Answer:

2.25 should be the right answer

Answer:

35

~

Just simplify the expression and you'll get:  

35

~

You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.

~

It's because to answer this question, you will need to use PEMDAS.

P, Parenthesis.

E, Exponents.

M, Multiply.

D, Divide.

A, Addition.

S, Subtraction.

~

Since we don't have parenthesis, exponents, a division sign, or subtraction sign.

All we need to do is Mutiply, and Add.

~

First we multiply, because of the PEMDAS order.

7 * 0 = 0

~

Then, since we used one of the 7's to multiply. (The one next to the 0)

We add the rest of them, not including the last seven.

There are six, sevens.

But we already used one.

So we will add only the other five.

7 + 7 + 7 + 7 + 7 = 35.

7 * 5 = 35

~

And that's it.

You got your answer, 35.

Answer:

21

Step-by-step explanation:

this requires practical assumption.

take 9 for example

5 more than 9 means 9 - 5 = 4

4 is a square number

21 = 21 - 5 = 16

16 is a square number

34 = 34 - 5 = 29

29 is not a square number

35 = 35 - 5 = 30

30 is not a square number

65 = 65 - 5 = 60

60 is not a square number

76 = 76 - 5 = 71

71 is not a square number

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

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Answer:

y=−2/5x+4/5y

Step-by-step explanation:

Hope's this helps

Answer:

Not enough data

Step-by-step explanation:

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

Answer:

296 cm

Step-by-step explanation:

Joanna is 152cm tall

Kristal is 152 - 8 =  144 cm

The sum of the heights is

152 + 144 =296 cm

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

Answer:

12 because 12/15 =.8 so does 8/10

Answer:

w=12

Step-by-step explanation:

8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.

Brainliest are always appreciated :)

Answer:

36

Step-by-step explanation:

Answer:

1)x-y>7

x>7+y

x-7=y

y =7

If it has to be at least 7 then 7 is less than all of them or equal to it.

2) Step 1: Always start by isolating the variable y on the left side of the inequality.

Step 2: Change the inequality to equality symbol. ...

Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...

Step 4: The last step is to shade one side or region of the boundary line.

3) The solution graph is y=7 because there is no possible x or x=0

you can find  a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality

Hope I helped!!

Answer:

D. 44 because its the primemiter

Step-by-step explanation:

davis is right.

Answer:

[tex]1\frac{1}{4} c[/tex]

Step-by-step explanation:

[tex]c+\frac{1}{4}c[/tex]

Rewrite the expression

[tex]= 1c+\frac{1}{4} c[/tex]

Add

[tex]= 1\frac{1}{4} c[/tex]

Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].

I hope this helps!

Answer:

I have no idea

Step-by-step explanation: