In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds does the cat weigh?

Answers

Answer 1

[tex]\bf \begin{array}{ccll} stones&lbs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{14}&1\\\\ \frac{3}{4}&p \end{array}\implies \cfrac{\quad \frac{1}{14}\quad }{\frac{3}{4}}=\cfrac{1}{p}\implies \cfrac{1}{14}\cdot \cfrac{4}{3}=\cfrac{1}{p} \\\\\\ \cfrac{2}{21}=\cfrac{1}{p}\implies p=\cfrac{21\cdot 1}{2}\implies p=\cfrac{21}{2}\implies p=10\frac{1}{2}[/tex]

Related Questions

What is the value of x ?

Answers

2x-14=x+2
x=16
Your welcome

what is the value of x

While in europe, if you drive 113 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 41.0 mi/gal ? assume that 1euro=1.26dollars?

Answers

113 x 7 = 791 km per week
791 km ~ 491.5 miles

491.5/41 = 12 gallons used

1 galloon ~ 3.8 liters

45.6 liters used

45.6 x 1.10 euros = 50.16 Euros used or $63.20 dollars used.

Answer:

[tex]\$63.04[/tex]

Step-by-step explanation:

Distance traveled in [tex]1[/tex] day = [tex]113 km[/tex]

Distance traveled in [tex]1[/tex] week = [tex]113*7 = 791 km[/tex]

Mileage of car = [tex]41.0 mi/gal = \frac{41*1.60}{3.78} = 17.35 km/liter[/tex]

Total gas consumed = [tex]\frac{791}{17.35} = 45.49liter[/tex]

Cost of [tex]1liter[/tex] gas = [tex]1.10 euros = 1.10*1.26 = \$1.386[/tex]

Money spent on gas in a week = [tex]45.49*1.386 = \$63.04[/tex]

When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in 2 years. How much money was initially invested?

Answers

Given:
r = 8% = 0.05, simple interest rate
t = 2 years, duration
A = 15,000.00, value after 2 years

Let P = principal, the amount invested.
Then
P(1+ 2*0.05) = 15000
P = 15000/1.1 = 13636.36

Answer: Php 13,636.36

Identify the property that is demonstrated below:

ab = ba

a. commutative property of addition
b.commutative property of multiplication
c. identity property of multiplication
d.associative property of multiplication

Answers

Commutative property of multiplication is the answer that you're looking for.

For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.

Answers

Final answer:

Explanation of the ratios of French decimal time to standard time after the French Revolution.

Explanation:

Ratio of French Decimal Week to Standard Week:

1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.

Ratio of French Decimal Second to Standard Second:

1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.

(a) The ratio of the French decimal week to the standard week is [tex]$ \frac{10}{7} $[/tex].

(b) The ratio of the French decimal second to the standard second is [tex]$ \frac{5}{3} $[/tex].

To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.

(a) Ratio of the French decimal week to the standard week:

In the French decimal system:

- One French decimal week consists of 10 days.

In the standard system:

- One standard week consists of 7 days.

So, the ratio of the French decimal week to the standard week is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]

(b) Ratio of the French decimal second to the standard second:

In the French decimal system:

- One minute consists of 100 seconds.

In the standard system:

- One minute consists of 60 seconds.

So, the ratio of the French decimal second to the standard second is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]

Now, let's simplify these ratios:

(a) Ratio of the French decimal week to the standard week:

[tex]\[ \frac{10}{7} \][/tex]

(b) Ratio of the French decimal second to the standard second:

[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]

So, the ratios are:

(a) for the French decimal week to the standard week.

(b) [tex]$ \frac{5}{3} $[/tex] for the French decimal second to the standard second.

Find a cubic function with the given zeros. Square root of five., - Square root of five., -7

Answers

[tex]\bf x= \begin{cases} \pm \sqrt{5}\\ -7 \end{cases}\implies \begin{cases} x=\sqrt{5}\implies &(x-\sqrt{5})=0\\ x=-\sqrt{5}\implies &(x+\sqrt{5})=0\\ x=-7\implies &(x+7)=0 \end{cases} \\\\\\ \stackrel{\textit{difference of squares}}{(x-\sqrt{5})(x+\sqrt{5})}(x+7)=\textit{original polynomial} \\\\\\ (x^2-5)(x+7)=y\implies x^3+7x^2-5x-35=y[/tex]

Can someone please help me with this problem?

Let f(x)=(x-2)^3+8.
Show that this function is one-to-one algebraically.

I've been stuck on this problem for quite some time now. I'm not asking for answers just a little explanation on what I need to do to solve it.

Answers

it is a function so u dont have to solve the equation u just have to make a graphic on it...i have learned in school that first u should do the line of x^3 then u should move the line -2 on the graphic( vertically) and then +8 horizontally

Use a calculator to round the nearest hundredth

Answers

= (-2 - 3.87) / 2
= -5.87 / 2
= - 2.94
hope it helps

What is the intersection of the sets A = {2, 3, 5, 7, 11} and B = {5, 11, 13, 15, 17}?

Answers

The intersection of sets is composed of the common elements.

The given sets have two common elements: 2 and 5.

{2;3;5;7}∩{2;5;11;13}={2;5}

Answer:

A ∩ B = {5, 11}

Step-by-step explanation:

Hello, the intersection of two sets A and B (A B), is the set that contains all elements of A that also belong to B , I mean , the common elements

Step 1

Let

A = {2, 3, 5, 7, 11}

B = {5, 11, 13, 15, 17}

you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted

A ∩ B = {5, 11}

Have a great day

Best buy shoes had a back to school special. The total bill for four pairs of shoes came to $69.24 ( before tax ) What was the average price for each pair of shoes?
QUESTION 2 If you only purchased 1 pair of shoes at Best Buy Shoes instead of the four described in problem 20, how much would you have paid, based on the average price?

Answers

Answer: a) $17.31, b) $17.31.

Step-by-step explanation:

Since we have given that

Total bill for four pairs of shoes = $69.24

Number of pairs of shoes = 4

We need to find the average price for each pair of shoes .

So, Average price would be

[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]

If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.

Hence, a) $17.31, b) $17.31.

Final answer:

The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.

Explanation:

To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.

Step-by-step calculation:

Divide the total cost ($69.24) by the number of pairs (4).

The calculation will be $69.24 / 4 = $17.31.

The average price for each pair of shoes is $17.31.

For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.

A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.

Answers

60 seconds per minute, 60 minutes per hour

60*60 = 3600 seconds per hour

5280 feet per mile

300/5280 = 0.0568 of a mile

2.92/3600 = 0.000811 of an hour

0.0568 / 0.000811 = 70.028 miles per hour

round to 70 miles per hour

This is what I've done so far but does anyone know what I do next or did I make a mistake

Answers

remmeber, you can do anything to an equation as long as you do it to both sides

for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign

pemdas always applies
but also the commutative property and assiociative property

so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution

35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was

Answers

35 -21 = 14

14/35 reduces to 2/5

At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?

Answers

5.50c + 9.40a = 1379.20
a = 4c

5.50c + 9.40(4c) = 1379.20
5.50c + 37.6c = 1379.20
43.1c = 1379.20
c = 1379.20 / 43.10
c = 32 <=== 32 kids tickets

a = 4c
a = 4(32)
a = 128 <=== 128 adult tickets

Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year?

A.$776.25
B.$214.29
C.$2,625.00
D.$26.25

Answers

Janice deposited $750 and a savings account earns 3.5% simple interest.
r = 3.5% = 0.035
I = $750 * 0.035
I = $26.25
Answer:
Janice has earned
D ) $26.25

Find the simple interest on a $2,219 principal, deposited for six years at a rate of 5.11%

Answers

680.35
hope this helped!

680.35 is the amount of interest you pay.

I need help please I’m lost

Answers

Thanks for the equation:

3, 1, 2

3 is the most likely because the chances are out of 2 classes instead of 2, which is one class.

1 is the number of people is also included in 2.

Hope this helps!

What is the measure of angle S?

Answers

132 + 56 + 79 = 267

360 - 267 = 93

answer is 93 degrees

Idk how to do this please help me

Answers

HIZ = 36
HIJ = 176
ZIJ = x

HIJ is the whole thing, and HIZ is a part, therefore

36 + x = 176

176 - 36 = 140
x = 140
ZIJ = 140 degrees

hope this helps

What is the sum of the polynomials

A. 4m + 3B. 4m – 24n + 3C. 30m – 5D. 30m – 24n – 5

Answers

Answer:

B its 100% this one i promise

Step-by-step explanation:

The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

Now, Sum of the polynomial is find as;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

It can be written as;

The polynomials are,

⇒ 17m - 12n - 1

- 13m - 12n + 4

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

4m - 24n + 3

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

Thus, (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3

Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

Learn more about the polynomial visit:

https://brainly.com/question/26147255

#SPJ5

What is the value of x?

Answers

(n - 2 ) 180 = sum of interior angles

n = 6, because it is the number of angles the polygon has

(6-2) 180 = 720

720 - 120 - 100 - 128 - 133 - 112 = x

x = 127

hope this helps

the sum of the interior angles equal 720

112 + 133 +128 +100 + 120 = 593

720 - 593 = 127

x = 127 degrees

What is the common term for the set of all points with x- coordinate zero?

A. X axis

B. Y axis

C. Coordinate plane

D. Origin

Answers

I think the correct answer would be option B. The common term for the set of all points with the x-coordinate that is zero is the y-axis. All of the points that is found in the y-axis contains zero as the x-coordinate of the point. So, it should be the y-axis the correct answer.

Answer:

Option B is the correct answer.

Step-by-step explanation:

We have X axis, Y axis and origin in coordinate plane.

Origin is the point for which both x and y coordinate is zero.

X axis is the set of all points with y- coordinate zero.

Y axis is the set of all points with x- coordinate zero.

Here we are asked to find the common term for the set of all points with x- coordinate zero.

That is Y axis

Option B is the correct answer.

please answer both questions thank you.

Answers

first one is 36 units. second one is 40yrds squared

Whats The Number name for 43,080,700

Answers

forty-three million, eighty thousand, seven hundred!! hope this helps

The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equivalent function are shown below: [Step 1] f(x) = 800(1.09)3x
[Step 2] f(x) = 800(1.093)x
[Step 3] f(x) = 800(1.09 ⋅ 3)x
[Step 4] f(x) = 800(3.27)x Which of the following is the first incorrect step?

A. There is no mistake in the work.
B. Step 1
C. Step 2
D. Step 3
E. Step 4

Answers

Answer:

the answer is Step 3

Step-by-step explanation:

i took the test

Jason's age is 1/2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages.
A) 12a - 5.5
B) 18a - 13.5
C) 18a + 21
D) (12a-9)/2

Answers

Answer:

the answer is B)18a-13.5

Step-by-step explanation:

a machine manufactures wheels with a diameter of 70cm.It is acceptable for the diameter of a wheel to be withen 0.02 cm of this value .write and sopve an absolute value equation to find the minimum acceptable diameters

Answers

The ranges of the diameter of the wheels that the company manufactures can be calculated by adding or subtracting the given tolerance from the desired diameter. The lower limit is calculated by subtracting the allowance while the upper limit is obtained by adding the allowance.
lower limit = 70 cm - 0.02 cm = 6.98 cm
upper limit = 70 cm + 0.02 cm = 70.02 cm
The absolute value equation for this scenario is,
0.02 = I70 - xI

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

Can any of the roots have multiplicity?
How can you find a function that has these roots?

Answers

Work backwards to find the factors from the roots, then multiply the factors together.y=x3−10x2+31x−30

Answer:

The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.

To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.

Need help with problem number 10

Answers

#10)
9x - 6 + 58 = 16x - 4
9x + 52 = 16x - 4
9x - 16x = -4 - 52
-7x = -56
x = 8
hope it helps

Which of the following phrases would represent this expression?

the quotient of x and 3
the quotient of 3 and x
the product of 3 and x
the difference of x and 3

Answers

i think its (the quotient of 3 and x)
sorry if i got it wrong

Answer:

The quotient of x and 3 is the answer i hope it works

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