MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

If you are rounding to the nearest hundredth*, then the answer would be 5.000 or just 5.

Step-by-step explanation:

The reason why is because when you round you:

- Look to the right of the number you are rounding to see if that number is 5-9 or 4 or below. Example: 4.999← this number will determine whether you round the bold number up or let it stay the same.
- Next if the number is 5-9 then round up. Then, you change the numbers that are at the back of the rounded number to zero.(THIS IS ONLY IF YOU ROUNDED THE NUMBER!!) If it is 9 you change that number to 0 then add one to the number to the left of it. Example: 4.900, then it changes to 5.000.

Answer:

It would round up to 5 because the .999 would make the other digits go to 0, and turn the 4 into a 5 so the answer would be 5.00

MIDDLE SCHOOL

An architect built a scale model of a shopping mall. On the model a circular fountain is 36 inches tall and 40.5 inches in diameter. If the actual fountain is to be 8 feet tall, what is it’s diameter

Answer:

About 9.01 feet

Step-by-step explanation:

Diagram

Fountain is 36 in tall and 40.5 in wide

Real Life

Fountain is 8 ft tall and x ft wide

1 ft=12 in

36 in = 96 in

40.5 in x in

96/36= 2.67

40.5*2.67= 108.135 in

108.135 in = 9.01 ft

MIDDLE SCHOOL

Enter a number in the box so that the equation Will have an infinite number of solutions 4x —8 = 4x +

The number n that will make the equation 4x - 8 = 4x + n have an infinite number of solutions is -8.

i.e

4x - 8 = 4x + (-8)

4x - 8 = 4x - 8

What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

Example:

2x = 4

2 x 2 = 4

4 = 4

2 is the solution to the equation 2x = 4.

We have,

4x - 8 = 4x + n

Let n be the number that will make the equation have an infinite number of solutions.

We know that,

If both sides of an equation are equal the equation has an infinite number of solutions.

Now,

4x - 8 = 4x + n

Subtract 4x on both sides.

4x - 8 - 4x = 4x + n - 4x

-8 = n

Thus,

The number n that will make the equation 4x - 8 = 4x + n have an infinite number of solutions is -8.

i.e

4x - 8 = 4x + (-8)

4x - 8 = 4x - 8

Learn more about solutions of equations here:

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To have an infinite number of solutions, both sides of an equation must be equal.

4x - 8 = 4x + (-8)

Answer: -8

4x - 8 = 4x + (-8)

Answer: -8

HIGH SCHOOL

Find the x and y-intercepts of the line whose equation is 3x+ 5y=-15

X - Intercept: 3x + 5y = -15

3x + 5(0) = -15

3x + 0 = -15

3x = -15

3 3

x = -5

(x, y) = (-5, 0)

Y - Intercept: 3x + 5y = -15

3(0) + 5y = -15

0 + 5y = -15

5y = -15

5 5

y = -3

(x, y) = (0, -3)

3x + 5(0) = -15

3x + 0 = -15

3x = -15

3 3

x = -5

(x, y) = (-5, 0)

Y - Intercept: 3x + 5y = -15

3(0) + 5y = -15

0 + 5y = -15

5y = -15

5 5

y = -3

(x, y) = (0, -3)

MIDDLE SCHOOL

Write the percent of free space on the computer as a decimal. Volume Capacity Free Space % Free Space

(C:) 200 GB 150 GB 75%

Answer:

0.75

Step-by-step explanation:

Answer:

It would be .75

Step-by-step explanation:

75% as a decimal would be .75

so .75 would be your answer

HIGH SCHOOL

Barbara buys 3 boxes of eggs costing £1.20 each 1 jar of mayonnaise costing £1.80 2 loaves of breadshe pays £10 note and gets £1.60 change barbara works out the cost of 1 loaf of bread as £1.40

The cost of a box of eggs = $1.20

So, the cost of 3 boxes of eggs =

The cost of each jar of mayonnaise = $1.80

Let the cost of each loaf of bread = $'x'

So, the cost of 2 loaves of bread = = $2x

Since, Barbara gives $10 note and receives a change of $1.60.

Therefore, she pays for the given items.

Therefore,

So, x = 1.5

Therefore, the cost of each loaf of bread is $1.50 not $1.40.

MIDDLE SCHOOL

A student spent 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. Wht fraction of his pocket money does he spend on sweets?

Answer:5/6

Step-by-step explanation:

MIDDLE SCHOOL

What part of 5 3/5 is 7/10

Answer:

is of

Step-by-step explanation:

step 1

we know that

To find what part of is , divide by

but

First convert mixed number to an improper fraction

so

substitute

therefore

is of

HIGH SCHOOL

Sam bought brushes for 8$ a pallete for 5$ and oil paints for 15$ he paid $29.82 in all what sales tax rate did Sam pay?

The answer will be $1.41 cent because $1.41 add up $28.41

HIGH SCHOOL

Use linear approximation to estimate 15^.25 ...?

A linear approximation of f(x) in a neighborhood of a

f(x) ~ f(a) + f'(a) (x-a)

f(x) = x^1/4

2^4 = 16 i.e. a = 16

f(15) ~ f(16) + f'(16) (15-16)

f'(x) = 1/4 x^(-3/4)

f(15) ~ 2 + 1/4 (16)^-3/4 (-1)

~ 2 - 1/(32) = 1.96875

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

f(x) ~ f(a) + f'(a) (x-a)

f(x) = x^1/4

2^4 = 16 i.e. a = 16

f(15) ~ f(16) + f'(16) (15-16)

f'(x) = 1/4 x^(-3/4)

f(15) ~ 2 + 1/4 (16)^-3/4 (-1)

~ 2 - 1/(32) = 1.96875

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Let f(x) = sqrt(x). Use linear approximation about x = 25, since 24 is close to 25, and since it is easy to take the square root of 25. Note that f ' (x) = 1/[2sqrt(x)] from the power rule. About x = 25, f(x) is approximately f(25) + f ' (25)(x - 25). So sqrt(24) = f(24) is approximately f(25) + f ' (25)(24 - 25) = sqrt(25) + {1/[2sqrt(25)]}(-1) = 5 - 1/10 = 4.9 .