Simon says that 7 x 2 is equal to 8 x 1 because both sets of factors add to 9. Do you agree with Simon's reasoning? Explain why or why not.

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer:

12 pencils

Step-by-step explanation:

5 + 1 = 50% of the original amount

5 + 1 = 6

50% = 6

6 x 2 = 12 = 100%

Katie had 12 pencils

Answer:

51.99 + (51.99x8)/100

51.99 + 4.1592

56.1492

she pays 56.15

Answer: 20 hrs

Step-by-step explanation:

Answer:

Hello there your answer is 12 x  +  5 y  =  − 10!

Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.

Answer:

90

Step-by-step explanation:

8 x 11 = 88

So now you have to add 2 to get to the nearest 10. ;)

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Answer:

10

Step-by-step explanation:

5+9+10+11+12+13=60 divided by 6 = 10

Mean = Sum of all observations/Number of observations

Mean = 12 + 13 + 9 + 5 + 11 + 10/6

=60/6

= 10

dont forget to like and mark me

Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Derek's hourly rate is $10 and Charlie's hourly rate is $10.45, Charlie's earns $0.45 more per hour than Derek.

A unit rate means a rate for one of something.

Given that, a graph which shows Derek's earning hourly, and Charlie earns $52.25 in 5 hours of work,

Derek's earns $10 for an hour

Charlie's earning for an hour = 52.25/ 5 = $10.45

Hence, Charlie's hourly rate is $10.45, and he earns $0.45 more per hour than Derek.

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Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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Answer:

-2 x -3/2

Step-by-step explanation:

-2 x -3/2

That would equal three, which is more than 2.

Hope that helps! :)

-Aphrodite

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer: 12

Step-by-step explanation:

Answer:

it would be 9

Step-by-step explanation:

All but nine died means "everything except nine goats died"

All 12 goats died.

Answer:

2.154

Step-by-step explanation:

.2453

Answer:

3.65

Step-by-step explanation:

3.78

1.30

___

2.48

3-1=2

7-3=4

8-0=8 -

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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A company has 4,677 pounds of rock salt. A small town bought one-fifth of the rock salt in anticipation of a large snowstorm. Then a landscaper bought 80 pounds of the rock salt from what the company had remaining. 4597 pounds of rock salt does the company have left.

The term "snowstorm" refers to a storm where the precipitation is snow. As a result of the freezing temperatures at the storm's peak, the majority of precipitation that falls during the wintertime crystallizes as snowfall within the clouds.

Given that,

Company has 4677 pounds of rock salt

A small town bought one-fifth of the rock salt in anticipation of a large snowstorm

Now, rock salt left:

= 4677 - (1/5)

= 4676.8

Then a landscaper bought 80 pounds of the rock salt from what the company had remaining:

= 4676.8 - 80

= 4596.8 pounds

= 4597 pounds

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Answer:

45 people

Set up a proportion.

7/2 = x/10

cross multiply

We get 2x=70

x= 35

Children= 35

35 children + 10 adults= 45 people

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

a. \(5 \frac{21}{40} \)

b. \( \frac{1}{42} \)

Step-by-step explanation:

\(a. \: 12 \frac{2}{5} - 6 \frac{7}{8} \)

\( \frac{62}{5} - \frac{55}{8} \)

\( \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} \)

\( \frac{62 \times 8 - 55 \times 5}{40} \)

\( \frac{221}{40} \)

\(5 \frac{21}{40} \)

\(b. \: \frac{3}{14} - \frac{4}{21} \)

\( \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} \)

\( \frac{3 \times 3}{42} - \frac{4 \times 2}{42} \)

\( \frac{1}{42} \)

Hope it is helpful....

Answer:

8 feet

Step-by-step explanation:

Ladder = hypotenuse

bottom of ladder to tree = leg

x, 6, 10

Clear 3-4-5 triangle so,

x=8

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

the solution of the given derivative will be y = k/2(1±√(1-4h/rk))

What is derivative?

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.

dy/dt = 0

-r/k y²+ry-h=0

y = k/2(1±√(1-4h/rk))

Hence the solution of the given derivative will be y = k/2(1±√(1-4h/rk))

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