Please help me solve for r

Answer:

Quarters = 175

Step-by-step explanation:

Let the number of dimes in the jar = 25

number of Nickels = n

number of quarters = q

number of pennies = p

Now we will form the equation

Number of quarters plus dimes equal the number of pennies.

q + 25 = p  --------(1)

You have 4 nickles for every dime

n = 4d

n = 4 × 25 = 100

and you have 2 pennies for every nickels

p = 2n

p = 2 × 100 = 200

Now we replace p = 200 in equation (1)

q + 25 = 200

q = 200 - 25

q = 175

Option A. 175 will be the answer.

Answer: 50

Step-by-step explanation:

The approximate percentage of change will be 43.24%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

An antique car was purchased for $7400 and is not worth $10,600.

Then the approximate percent of change will be given as,

P = [(10600 - 7400) / 7400] x 100

P = (3200 / 7400) x 100

P = 0.4324 x 100

P = 43.24%

The approximate percentage of change will be 43.24%.

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Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

△ABC ≅ △WRS

So, Perimeter of △ABC is given by

AB+BC+CA

here, AB = 3 units

BC = 4 units

AC = x

By pythagorus theorem, we get that

[tex]AC^2=AB^2+BC^2\\\\x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\\\\x=\sqrt{25}\\\\x=5\ units[/tex]

So, perimeter of △ABC is

3+4+5=12 units

So, the perimeter of △WRS is also 12 units as they are similar triangles .

Hence, Third option is correct.

Answer:

The Answer Is 12

Step-by-step explanation:

The cubic polynomial equation which passes through the coordinate (0,-5) and whose zeroes are (2 , 0), (3 , 0), and (5 , 0) is: [tex]y = \dfrac{1}{6}(x-2)(x-3)(x-5)[/tex] and it can be determine by arithmetic operations.

Given :

Arithmetic operations can be used to determine the cubic polynomial equation. The generalised cubic polynomial equation is given by:

[tex]y = K(x-a)(x-b)(x-c)[/tex]

Where, K is constant and a, b, and c are the zeroes of the cubic polynomial equation. Therefore, the value of a, b, and c are 2, 3, and 5 respectively.

[tex]y = K(x-2)(x-3)(x-5)[/tex]   ----- (1)

It is given that cubic polynomial equation passes through (0 , -5). So, put x = 0 and y = -5 in equation (1) to evaluate the value of K.

[tex]-5=K(0-2)(0-3)(0-5)[/tex]

[tex]5=30K[/tex]

[tex]K = \dfrac{1}{6}[/tex]

Therefore the cubic polynomial equation is given by:

[tex]y = \dfrac{1}{6}(x-2)(x-3)(x-5)[/tex]

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The number of boys and the number of girls are 126 and 120 respectively.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, there are 5% more boys than there are girls, there is a total of

246 members in the club,

We need to find the number of boys and the number of girls,

Here we will use the concept of percentage as well as equation solving,

Let the number of girls be x, so, the number of boys = 105% of x = 1.05x

According to the question,

x+1.05x = 246

2.05 x = 246

x = 120

1.05x = 126

Hence, the number of boys and the number of girls are 126 and 120 respectively.

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The area of circle is,

⇒ 176.62 in²

And, ⇒ Circumference = 47.1 in.

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The diameter of circle is,

d = 15 in.

Hence, Radius of circle is.

r = 15 / 2

r = 7.5 in,

Thus, Area of circle is,

⇒ πr²

⇒ 3.14 × 7.5²

⇒ 176.62 in²

And, Circumference = 2πr

⇒ Circumference = 2 × 3.14 × 7.5

⇒ Circumference = 47.1 in.

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The solution is, the race ends at 12h50 (noon)

It can be stated as, Addition is a way of combining things and counting them together as one large group.We know that, Addition in math is a process of combining two or more numbers.

here, we have,

Anna started a race at 9:30am. She ran for 3 hours and 47 minutes.

so we know the time she start and how many time the race was so let's add them together to get the end time

now,

9:03+3h47

=12h50

so the race ends at 12h50 (noon)

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Answer:

Linear Pair, Neither, Vertical.

Its also in the attached PNG just in case the question you have decides to put them out of order. You are all welcome! I hope this helps you people in the future

Answer:

5.5

Step-by-step explanation:

3.8 is misinformation

Step [tex]1[/tex]

Find the slope of the line perpendicular to the given line

we have

the equation of the given line is

[tex]y=\frac{1}{2}x+7[/tex]

we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

in this problem the slope m1 of the given line is

[tex]m1=\frac{1}{2}[/tex]

so

[tex]m2=-\frac{1}{m1}[/tex]

[tex]m2=-2[/tex]

Step [tex]2[/tex]

Find the equation of the line with slope m2 and passes through the point [tex](6, 2)[/tex]

we know that

the equation of the line is

[tex]y-y1=m*(x-x1)\\ y-2=-2*(x-6)\\y=-2x+12+2\\ y=-2x+14[/tex]

therefore

the answer is the option A

the equation of the line is [tex]y=-2x+14[/tex]

see the attached figure to better understand the problem

Answer:

The dimensions of the box are (b+3), (b-2) and (b+2).

Step-by-step explanation:

The volume of a rectangular box is

[tex]V=l\times w\times h[/tex]    

The volume of a certain box is

[tex]V=b^3+3b^2-4b-12[/tex]

First of all find the factors of above expression by grouping method.

[tex]V=b^2(b+3)-4(b+3)[/tex]

[tex]V=(b+3)(b^2-4)[/tex]

[tex]V=(b+3)(b^2-2^2)[/tex]

[tex]V=(b+3)(b-2)(b+2)[/tex]                 [tex][\because a^2-b^2=(a+b)(a-b)][/tex]  

Volume of a rectangle is the product of its dimensions, therefore the dimensions of the box are (b+3), (b-2) and (b+2).

APEX  $260 is correct answer.