Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each round. Rickie’s mother asked him if his scores varied more in June or July. Rickie claims that a measure of center will answer his mother’s question. Is Rickie’s claim correct?

Answer:

0.267[tex]mm^3[/tex]

Step-by-step explanation:

Radius of the Bubble = 0.7 mm

Volume of the bubble is given by the formula :

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Taking cube on both sides

[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]

This would make a right triangle. Use the Pythagorean theorem to solve.

X = sqrt(14^2+ 3^2)

X = sqrt( 196 + 9)

X = sqrt(205)

X = 14.3178

Rounded = 14.3 miles

Answer:

The rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Step-by-step explanation:

Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.

In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:

[tex]\frac{3.5 liters}{4 days}[/tex]

Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:

[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]

So the rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Answer:

It would be 14/11

when you make it a mixed number, it'll be 1 3/11

Step-by-step explanation:

You can't simplify it more than 3/11 so

1 3/11

Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.

Step-by-step explanation:

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

Answer is option d) 2

Step-by-step explanation:

[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, (2x + 3y)/4 - 2

The value of expression, when  x = 2 and y = 4

⇒ (2×2 + 3×4)/4 - 2

⇒  (4+12)/4 -2

⇒   16/4  - 2

⇒  2

Hence, the value of expression is 2

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Answer:

3

Step-by-step explanation:

72/9 = 8 ( The quotient of 72 and 9)

8-5 = 3 (Decrease by 5)

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

Answer:

So you can divide by 2 for the picture. 4/2 = 2

So you can get 2 x 2 picture. The ratio would be 1

if you have a variable it would always be

x by x.

If you want to cover whole wall multiply by 4/3 on the 4 x 4 picture

The original needs to be scaled up by a factor of 75.

Given that, reproducing a 4 cm × 4 cm picture on a 3 m × 3 m wall.

We need to find what ratio we should use.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.

We know that 1 m=100cm, then 3 m=300 cm.

The picture on the wall is (300 cm)/(4 cm) = 75 times as large in each dimension as the original.

Therefore, the original needs to be scaled up by a factor of 75.

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Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]

Answer:

1/1

Step-by-step explanation:

Answer:

12 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 6 so the radius is d/2 = 6/2 = 3

108 pi = pi (3)^2 h

108 pi = 9pi h

Divide each side by 9pi

108 pi /9pi = 9pi h/9pi

12 = h

Answer:

12cm in height

Step-by-step explanation:

Answer:

7+42x

Step-by-step explanation:

7(1+6x)

Distribute

7*1 + 7*6x

7+42x

Answer:

7 + 42x

Step-by-step explanation:

Use the distributive property

7 + 42x

Answer:

fraction represented by model = 5/8

fraction less than model = 2/4

The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.

A fraction is a number that is the part of the whole.

It is represented in the form of p/q, where q is not equal to zero.

The figure has a circle in which sections have been divided.

There are some shaded sections and some non-shaded sections.

The number of shaded section is 5.

The number of non-shaded section is 3.

The total sections are 8.

The fraction that is represented by the model is 5/8.

The model shown is a visual way to represent and understand fractions.

The fraction = 0.625

The fraction in the options are,

3/4 = 0.75

11/16 = 0.6875

13/16 = 0.8125

2/4 = 0.5

0.5 < 0.625

2/4 < 5/8

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Answer:

"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"

Step-by-step explanation:

Answer:

square root of 26 (sorry couldn't get the symbol)

Step-by-step explanation:

C^2 = A^2 + B^2 (Pythagoras Theorem)

C^2 = 5^2 + 1^2

C^2 = 26

take square root of both sides

C =

[tex] \sqrt{26} [/tex]

Answer:yes

Step-by-step explanation:

Answer:

0.00783874

Step-by-step explanation:

7/893= 0.00783874

I just put it in the calculator  

Answer:

2.375m

Step-by-step explanation:

Length of box = 8 m

Width of box = 3 m

Height of box = 2.4 m

It initially contains water of volume 37 m³. 20 m³ of water is added to it.

So, New volume = 37+20 = 57 cubic m

Volume of water = Length \times Width \times Height = 8 \times 3 \times Height

So, 8 x 3 x height = 57

Height = 57/ 8x3

Height =2.375 m

hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m

Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.

Step-by-step explanation:

From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.

Interest = (Principal × Rate × Time)/100

630 = (4200 × R × 3)/100

630 = 12600R/100

12600R = 630 × 100

12600R = 63000

Interest rate =63000/12600 = 5%

Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

Interest = (Principal × Rate × Time)/100

Interest = (4200 × 6 × 4)/100

= 100800/100

= $1008

At the end of 4 years, Joshua will have:

= $4200 + $1008

= $5208

Yes it's possible.

Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

Answer:

1hr 37min 18 sec

Step-by-step explanation:

Jack can mow the baseball grounds in 6 hours

Jack rate = 1/6 job/hr

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

Mike can mow the same grounds in 5 hours

Mike rate = 1/5 job/hr

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

Chris can mow the grounds in 4 hours.

Chris rate = 1/4 job/hr

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

Together rate = 1/x job/hr

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

Equation:

rate + rate + rate = together rate

[ 1/6 + 1/5 + 1/4] = 1/x

x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1

----

x(74/120) = 1

x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec

Answer:

c)

Step-by-step explanation:

The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

A circle with center (-1, 2) and radius of 8.

Then the equation of the circle will be

(x – h)² + (y – k)² = r²

(x + 1)² + (y – 2)² = 8²

(x + 1)² + (y – 2)² = 64

Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.

Then the correct option is D.

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Answer:

The equivalent fraction is:   [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

which agrees with the second answer in the list of options

Step-by-step explanation:

Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:  

[tex]5-\sqrt{10\,x}[/tex]

Therefore we have:

[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Then this is the equivalent rationalized expression:

[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Answer:

B.

Step-by-step explanation:

A P E X

Answer:

Step-by-step explanation:

Given the formula ui = xi - 25 / 10

Note that the general formula for calculating ui = xi-A/n where;

A = assumed mean

n = class size

On comparison with the given equation, A = 25 and h = 10

Also arithmetic mean  x = A + {h * sigma(fiui) /sigma(fi)} where;

sigma(fiui) = 20 and  sigma fi = 100

Substituting the given value to get the mean x;

x = 25+ (10*20/100)

x = 25 + (200/100)

x = 25 + 2

x = 27

The arithmetic mean is 27