Ben is walking 150 miles in 31 days to raise money for a charity. He wants to walk the same distance each day. How far should he walk each day?

Explain what you did with the remainder and why.

Answer: B

Step-by-step explanation:

Radicals

Let's organize what the problem gives us.

We are given an expression to simplify:  [tex]\displaystyle (\sqrt{22})(5 \sqrt{2})[/tex]

Recall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:

[tex]\displaystyle\begin{aligned}(\sqrt{22})(5 \sqrt{2}) & = 5 \sqrt{44} \\& = 5 \sqrt{4 \cdot 11} \\& = (5 \sqrt{4})(\sqrt{11}) \\& = (5 \cdot 2)(\sqrt{11}) \\& = \boxed{ 10 \sqrt{11} }\end{aligned}[/tex]

∴ the expression (√22)(5√2) simplifies down to 10√11.

∴ the expression in simplified form is equal to A. 10√11.

___

Topic: Pre-Algebra

Unit: Radicals

Given:

A mother is now 2 and a half times old as her daughter Mary.

Four years ago the ratio of their ages was 3:1.

To find:

The present age of the mother.

Solution:

Let x be the present age Mary's mother and y be the present age of Mary.

A mother is now 2 and a half times old as her daughter Mary. So,

[tex]x=2\dfrac{1}{2}y[/tex]

[tex]\dfrac{x}{y}=\dfrac{2(2)+1}{2}[/tex]

[tex]\dfrac{x}{y}=\dfrac{5}{2}[/tex]

It means the ratio of their present age is 5:2. Let 5z be the present age of Mary's mother and 2z be the present age of Mary.

Four years ago the ratio of their ages was 3:1.

[tex]\dfrac{5z-4}{2z-4}=\dfrac{3}{1}[/tex]

[tex]1(5z-4)=3(2z-4)[/tex]

[tex]5z-4=6z-12[/tex]

[tex]-4+12=6z-5z[/tex]

[tex]8=z[/tex]

Now, the present age of the mother is:

[tex]5z=5(8)[/tex]

[tex]5z=40[/tex]

Therefore, the present age of the mother is 40 years.

Answer:

The volume of a cylinder with diameter 8 and height 10 is 502.65.

The volume of a cylinder with radius 7 and height 4 is 615.75.

The volume of a cone with radius 18 and height 6 is 2035.75.

The volume of a cone with diameter 12 and height 8 is 1206.37.

Answer:

5/3 is the same thing as 1 and 2/3 so just put it on the second line after the number 1 and trust me I’m so sorry if I am wrong

Step-by-step explanation:

Step-by-step explanation:

In ∆PQR and ∆TSU

[tex]\because\begin{cases}PQ\approx TS \\ QR\approx TU \angle \\ Q\approx \angle T\end{cases}[/tex]

[tex]\therefore{∆PQR\approx ∆TSU(\because SAS)}[/tex]

And

Answer:

D. (h,k)

Step-by-step explanation:

got it right on edge

Therefore , the solution of the given problem of ratio comes out to be  15:73 ratio simplified is 15/73.

A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).

Here,

To simplify the ratio 15:73, we find the greatest common divisor of 15 and 73, and then we divide 15 and 73 by the greatest common divisor.

The greatest common divisor that you can use to simplify 15:73 is 1. Which means the answer to ratio 15:73 simplified is:

Here is the math to illustrate better:

15/1 = 15 and 73/1 = 73

Thus, 15:73 ratio simplified is 15/73

Therefore , the solution of the given problem of ratio comes out to be  15:73 ratio simplified is 15/73.

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Answer:

Answer:

To solve this equation, we first need to isolate the ln term on one side of the equation. To do this, we can subtract ln 4 from both sides to get:

ln 4 - ln x - ln 4 = 2 - ln 4

This simplifies to:

-ln x = 2 - ln 4

Next, we can add ln 4 to both sides to get:

-ln x + ln 4 = 2

This simplifies to:

ln 4 - ln x = 2

Now, we can apply the identity ln a - ln b = ln(a/b) to both sides of the equation to get:

ln(4/x) = 2

To solve for x, we can apply the inverse logarithm function (exp) to both sides:

4/x = exp(2)

This simplifies to:

x = 4/exp(2)

Finally, we can evaluate this to get the value of x:

x = 4/exp(2) = 4/7.38905609893065

So the solution is x = 4/7.38905609893065.

Step-by-step explanation:

Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.

Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.

For the success rate of 30%, this means the probability of that specific event would be 0.3.

So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.  

Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.  

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Answer:

[tex]A) 16.56 ~in^{2}[/tex]

Step-by-step explanation:

[tex]Area=\frac{a+b (h)}{2}[/tex]

[tex]\frac{6.1+3.1(3.6)}{2}[/tex]

= [tex]\frac{9.2(3.6)}{2}[/tex]

= [tex]4.6(3.6)[/tex]

= [tex]A=16.56[/tex]

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

hope it helps...

have a great day!!

Answer:

A) 16.56

Step-by-step explanation:

hope it helps...

Answer:

k=4

Step-by-step explanation:

[tex] \frac{1}{2} k - \frac{4}{1} k = - 8 - 6[/tex]

[tex] \frac{(1 \times 1) - (4 \times 2)}{(2 \times 1)} k = - 14[/tex]

[tex] \frac{1 - 8}{2}k = - 14[/tex]

[tex] - \frac{7}{2} k = - 14[/tex]

[tex] \frac{ - \frac {7}{2} }{ - \frac{7}{2} }k = \frac{ - 14}{ - \frac{7}{2} } [/tex]

[tex]k = 4[/tex]

Answer:

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Step-by-step explanation:

Applying two sample t test as both methods are independent

The null and alternate hypotheses are

H0: u1= u2   against the claim Ha: u1> u2

The significance level is 0.01 and the critical region is  t > t∝( n-1)

The degrees of freedom is calculated using the formula

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

This formula is used when the the variances are unequal.

So as we do not know anything about variances we assume they are unequal.

The calculated degrees of freedom is 132

The critical region is t >  2.355 for one tailed test.

The test statistic is

t= x1`- x2`/ √s1²/n1 + s2²/n2

t= 85-83/ √3²/75+ 2²/60

t= 2/ 0.432

t= 4.629

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Answer:

153.86‬ cm^2

or

154 cm^2 (if you round it up)

Things to keep in mind:

    R - Radius

    A - Area

    Pi = 3.14

Step-by-step explanation:

A = Pi * R^2 = 3.14 * 7^2 = 3.14 * 49 = 153.86‬ (cm^2)

The solution is :

153.86‬ cm^2 or 154 cm^2 (if you round it up), is the circle's area.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

Things to keep in mind:

   R - Radius

   A - Area

   Pi = 3.14

now, given that,

The radius of a circle is 7 centimeters.

i,e. R = 7

so, we get,

A = Pi * R^2

  = 3.14 * 7^2

  = 3.14 * 49

  = 153.86‬ (cm^2)

Hence, 153.86‬ cm^2 or 154 cm^2 (if you round it up), is the circle's area.

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Answer:

(5,-6)

Step-by-step explanation:

This is where the two lines meet. I hope this helps ◕ ◡ ◕

Answer:

15/10, 30/20, 60/40, 120/80, 240/160, 480/320

Step-by-step explanation:

The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.

The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.

Answer:

ITS B

Step-by-step explanation:

I hope im right srry if im not i hope you to disney and stay safe

The geometry object known as a line extends on both sides and is defined as an object with zero width. Any line without curves is said to be straight.

An object with zero width that extends on all sides is referred to as a line in geometry. Simply put, a straight line is an uncurved line. As a result, a straight line is one without any curves that stretches to infinity on both sides.

A line is a perfectly straight, one-dimensional shape that is endlessly long and thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length.

y=mx+c

Definition. Y=mx+c is the formula for a straight line. m is the gradient and c is the height, commonly known as the y-intercept, at where the line crosses the y-axis in the equation y = m x + c.

[tex](b) $\because$ perpendicular makes an angle of $60^{\circ}$ with the line $x+y=0$.$\therefore$ the perpendicular makes an angle of $15^{\circ}$ or $75^{\circ}$ with $x$-axis.[/tex]

[tex]Hence, the equation of line will be $x \cos 75^{\circ}+y \sin 75^{\circ}=4$or $x \cos 15^{\circ}+y \sin 15^{\circ}=4$$(\sqrt{3}-1) x+(\sqrt{3}+1) y=8 \sqrt{2}$or $\quad(\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}$[/tex]

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Answer:

3. 1

4. 8.625 mi

5. 5 3/8

Step-by-step explanation:

That's all I know

Hii... please talk to me, I want a friend :(

it is 17371.8 I put it into a calculator and got it haha

Answer:

4 points

Step-by-step explanation:

if you look its only 4, 1 on top, and 3 around.

Answer:

I'm pretty sure it would be 48 divided by 8 which would be 6

Step-by-step explanation:

Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so RT= 10

Answer:

125 per minute.

Step-by-step explanation:

To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)

You get the answer 125.

Answer:

Basically, LON would be 8z + 112 + 6z - 17

So, our equation will look like this

8z + 112 + 6z - 17 = -1z + 65

Subtract the 6z from the 8z

2z + 112 - 17 = -1z + 65

112 - 17 = 95

2z + 95 = -1z + 65

add the 1z

3z + 95 = 65

subtract the 95

-30

3z = -30

The answer is -10 :)

Step-by-step explanation:

Answer:

LON=75

Step-by-step explanation:

LON= LOM=NOM

-1z+65=8z+112-6z-17

-1z+65=2z+95

3z=-30

z=-10

LON= -1z+65

       = -1(-10)+65

       = 10+65

LON= 75

Answer:

2 1/5 for alice

4 3/14 for Bert

5 for Carl

5 for Eva

5 1/2 for Dennis

Carl and Eva

Step-by-step explanation:

brainliest please