Adrian has 5 times as many stickers as Derrick. If Adrian has 325 stickers, how many stickers does Derrick have?

Answer:

23/40 is a rational number

Step-by-step explanation:

an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal

In the given question, 23/40 is a rational number.

A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.

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Answer:

1

Step-by-step explanation:

If you only take out 2 marbles, you have to take out red marbles both times to have 2 red marbles. There is no other option.

The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.

In this case, the first operation to perform is the division: 4 ÷ 4.

After completing the division, we then proceed with addition and subtraction from left to right.

Final answer:

When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.

Explanation:

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.

Divide: 4 ÷ 4 = 1

Multiply: 1 × 2 = 2

Addition and Subtraction: 8 + 6 - 2 = 12

Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.

Answer:

2.5×2=5

3.5×2=7

RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7

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Step-by-step explanation:

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Step-by-step explanation:

i don't know if this is the correct answer 3360y^2

Answer:

Product [tex](21) ( x^{7})(y^{11})[/tex].

Step-by-step explanation:

Given : [tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

To find : product .

Solution : We have given that

[tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

Combine like terms

[tex](7 * 3) ( x^{2}*x^{5})(y^{3}*y^{8})[/tex].

By the exponential rule : if the base of two exponent is same then power must be added . [tex]x^{a} *x^{b} = x^{a+b}[/tex].

Then

[tex](21) ( x^{2+5})(y^{3+8})[/tex].

[tex](21) ( x^{7})(y^{11})[/tex].

Therefore, Product [tex](21) ( x^{7})(y^{11})[/tex].

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.

Answer: The correct answer is 5.

Step-by-step explanation: If 25% of the 20 dogs need a rabies shot the formula to solve the problem is .25 x 20.

.25 x 20 =5

The answer is D because 127° is = p

180-127=p. P=53

180-116=r. R=64

53+64+q=180

117+q=180

Subtract 117 from both sides

Q= 63

The correct answer is B. approximately 250g

Answer:

1/4 of a red marble

5/4 green marbles

14/4 blue marbles.

Step-by-step explanation:

Make a system of equations.

There are 5 marbles, so r + g + b = 5.

There is 2 more of blue marbles than red + green so b - 2 = r + g

There is 1 less red marble than green marbles so g = r + 1.

Then substitute.

b - 2 = r + r + 1

b = 2r + 3

r + r + 1 + 2r + 3 = 5

4r + 4 = 5

4r = 1

r = 1/4

g = 1/4 + 1

g = 5/4

1/4 + 5/4 + b = 5

6/4 + b = 20/4

b = 14/4

Plug them back into the equation and it checks out.

*Note : I don't know how this would work in real life but it's the answer.

180-59=121

121+30=151

180-151=29.

C is the answer.

Answer:

a =20.48

b = 14.34

Sin(55) = 0.8192

Step-by-step explanation:

Points to remember

Sinθ = Opposite side/Hypotenuse

Cosθ = Adjacent side/Hypotenuse

From the given figure we can see a right angled triangle.

One angle is given 35° and one side = 25

To find the value of a and b

Sin 35 = Opposite side/Hypotenuse = b/25

b = 25 * Sin 35 = 25 * 0.5735 = 14.34

Cos 35 = Adjacent side/Hypotenuse = a/25

a = 25 * Cos 35 = 25 * 0.8192 = 20.48

To find the value of sin 55

Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192

Answer:

17 acres

Step-by-step explanation:

9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.

Answer:

Area = 2

Step-by-step explanation:

Givens

The leg and the height of the right angle triangle are both radii of the semi circle.

The diameter of the semicircle is 4

Solution

radius = diameter /2

radius = 4/2

radius = 2

Area = 1/2 * b * h

b = 2

h = 2

Area = 1/2 * 2 * 2

Area = 2

Answer:

2 units²

Step-by-step explanation:

The diameter is 4 units.

The radius is 4/2 = 2 units.

The two legs of the triangle are a measure of 2 units or just the radius length.

Area of triangle = bh × 1/2

2 × 2 × 1/2

4/2 = 2

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Answer:

14

Step-by-step explanation:

21 divided by 3 =7   7 per 1/3

7x2=14

Final answer:

Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.

Explanation:

If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).

To find out how much water Min fills up:

Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.

Answer:

(B) and (D)

Step-by-step explanation:

A box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.

Also, we know that in a box plot, the center is measured in the form of median and the spread can be measured in the form of Interquartile range which can be calculated by calculating the value of the upper and lower quartiles.

Thus, the best measure to find the center of the data represented in box plot is median and the best measure to find the spread is Interquartile range.

Hence, options B and D  are correct.

The more appropriate measures of center and spread for this data set include the following;

B. Better measure of spread: interquartile range (IQR).

D. Better measure of center: median.

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Generally speaking, the median is a better measure of center and for this data set, it is equal to 8. Additionally, the more appropriate measure of spread for this data set is the interquartile range (IQR);

Interquartile range (IQR) of data set = third quartile - first quartile

Interquartile range (IQR) of data set = 14 - 6

Interquartile range (IQR) of data set = 8.

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[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]

➷ Angles subtended by the same arc are equal

Therefore, x = 30 degrees.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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The answer is 30 Degrees

..............................................

Answer:

y = 10

Step-by-step explanation:

2x + y = 24

2(7) + y = 24

14 + y = 24

-14        -14

y = 10

Answer:

The Answer is 10

Step-by-step explanation:

2x + y =24

2 * 7 + 10 + 14

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Answers are attached in the 2 pics below. Please check!

Answer:

44

Step-by-step explanation:

A=a+b

2h=6+5

2·8=44

Answer:

6 bags

Step-by-step explanation:

How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6

Answer:

d = 0.7*t

Step-by-step explanation:

Given data,

  Time          Distance

   10                 7

   15                10.5

   20                 14

From analysis,

1) d1/t1 = 7/10 = 0.7

2) d2/t2 = 15/20 = 0.7

3) d3/t3 = 14/20 = 0.7

It can be analysed from the figure that, at every point d/t = 0.7

Therefore, the relationship between t and d is

d = 0.7*t

or

t = d/0.7  

Answer:

d=0.7t

Step-by-step explanation:

I just did the question on khan academy.

I think c if not sorry have a good day

The approximate distance from the pool to the tennis courts is:

                    C)  3.35 miles

It is given that:

On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).

The tennis courts are the midpoint between the park and the pool.

This means that the distance from the pool to the tennis court is half the distance between the pool and the park.

The distance between pool and park is calculated by using the distance formula as follows:

[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]

Hence,

[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]

Now, it is given that:

   1 unit= 1 mile

Hence, 3.3541 unit=3.3541 miles.

Hence, the answer is: Option: C

Answer:

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Step-by-step explanation:

if a−b=c,then a−b+b=c+b,or a=c+b

Answer:

addition property of equality

Step-by-step explanation:

Answer:

If you give the diameter and the radius, as well as the circumference, I will be of more help :)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer:

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Step-by-step explanation:

we have

[tex]f(12)=100(0.50)^{12}[/tex]

we know that

f(12) is the value of the function for x=12

therefore

The function f(x) should be

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Answer:

D . f(x) = 100(1/2)^x

Step-by-step explanation:

If f(12) = 100(0 .50)¹²

∴ f(x) = 100(1/2)ˣ