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3 years ago

What is 5/7*w=40 1/2

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

Answer:

56 7/10

Step-by-step explanation:

convert 40 1/2 to a fraction 40 1/2 = 81/2

multiply both sides by 7/5

this gets w by itself on the left

81/2 x 7/5 = 567/10 = 56 7/10

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There is a 12-ft fence on one side of a rectangular garden. The gardener has 44 ft of fencing to the enclose the other three sid

Morgarella [4.7K]

Answer:

16 ft

Step-by-step explanation:

One of the other three sides is 12 ft. After that fence is subtracted from the total, there are 32 ft of fence left for the other two sides of the rectangle. That allows those sides to be 32 ft/2 = 16 ft long.

The rectangle can be 12 ft by 16 ft. The longer dimension is 16 ft.

7 0

4 years ago

If there are approximately 1.8 million cars in Vancouver and if each car travels an average of 17,500 kilometres in a year, how

Goryan [66]

Rates are used to measure a quantity over another.

The 1.8 million cars use $1.85 \times 10^{10}$ liters each year

Given

$Cars = 1.8\ million$

$d = 17500km$ --- distance

$r = 40miles/gallon$

First, we calculate the number (n) of gallons used by each car

$r = \frac{d}{n}$

Solve for n

$n = \frac{d}{r}$

So, we have:

$n = \frac{17500km}{40miles/gallon}$

$n = \frac{17500km}{40miles}gallon$

Convert miles to kilometers

$n = \frac{17500km}{40km \times 1.60934}gallon$

$n = \frac{17500km}{64.3738km}gallon$

$n = 271.85\ gallon$

The number of gallons (N), used by all the cars is:

$N = n \times cars$

$N = 271.85 \times 1.8\ million$

$N = 489330000$

Convert to liters

$N = 489330000 \times 3.78541L$

$N = 1852314675.3L$

In scientific notation to 2 decimal places, we have:

$N = 1.85 \times 10^{10}L$

Hence, the number of liters used is $1.85 \times 10^{10}$

Read more about distance and rates at:

brainly.com/question/24659604

4 0

3 years ago

Solve the diﬀerential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Anna [14]

Equation at the end of step 1 : (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 Step 2 :Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 -3x3y7 + x3y - 6y = -y • (3x3y6 - x3 + 6)

Trying to factor a multi variable polynomial :

3.2 Factoring 3x3y6 - x3 + 6

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Equation at the end of step 3 : -y • (3x3y6 - x3 + 6) = 0 Step 4 :Theory - Roots of a product :

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2 Solve : -y = 0

Multiply both sides of the equation by (-1) : y = 0

3 0

3 years ago

(GIVING BRAINLIEST!!!!!!) Solve 1 ÷ 1/2 = ________ A) 2 B) 3 C) 4 D) 5

Tcecarenko [31]

Answer:

Step-by-step explanation:

Becuase 1 divide 1/2

You make the division sign a multiplication sign

1 time 1/2

get the recipricol of 1/2 wich is 2

1 times 2/1

is 2

5 0

3 years ago

A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the baker

babymother [125]

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

6 0

3 years ago