All categories

2 years ago

Whats the answers to these tables

Mathematics

1 answer:

AVprozaik [17]2 years ago

8 0

Answer:

You would just plug in the x’s for the equations above and that will equal your x

Step-by-step explanation:

for example x=1

the equation is x+5

so y equals 1+5=6

y=6

You might be interested in

How many positive four-digit integers are multiples of 5 and less than 4,000

Volgvan

Answer:

Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

Explanation:

Lowest four digit positive integer = 1000

Highest four digit positive integer less than 4000 = 3999

We know that multiples of 5 end with 0 or 5 in their last digit.

So, lowest four digit positive integer which is a multiple of 5 = 1000

Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.

So, the numbers goes like,

1000, 1005, 1010 .....................................................3990, 3995

These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.

An = a + (n-1)d

3995 = 1000 + (n-1)x 5

(n-1) x 5 = 2995

(n-1) = 599

n = 600

So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

6 0

3 years ago

Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128

dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

$1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}$

Amount of water wasted =

$\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}$

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

$=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$$

Thus, approximately $46 is the additional money spent on water bill.

4 0

2 years ago

A regular octagon with side length a cm can be made by cutting off

Ksivusya [100]

Answer:

one side = $\frac{a\sqrt{2}}{2}$

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem, we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = $\frac{a^{2} }{2}$

x = $\frac{a}{\sqrt{2}}$

which, if you rationalise the denominator, you get:

x = $\frac{a\sqrt{2}}{2}$

5 0

3 years ago

The prism has a volume up to 150.find the length of the prism

Varvara68 [4.7K]

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

$150 / 20=7.5$

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

5 0

3 years ago

Please answer all of them

kondaur [170]

Answer:

a. x = 5/2

b. y = 16.5

c. z = 12

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers