How to do special triangles

8. 150 litres of water flows through a pipe in 6 minutes. Through the same pipe 200

Elenna [48]

Answer:

Yes,they are in proportion

Step-by-step explanation:

We are told that 150 litres of water flows through a pipe in 6 minutes.

Thus means that the rate of flow = 150/6 = 25 litres/minutes

Now, we are also told that through the same pipe, 200 litres of water flows in 8 minutes. This means that the rate of flow = 200/8 = 25 litres/minutes

Now, the rate of flow is both instances is the same. Thus, we can say they are in proportion because;

Proportion of quantity in both instances = 200/150 = 4/3.

while that of time = 8/6 = 4/3

They have the same proportion

8 0

3 years ago

Javier begins to save for a new bicycle that costs $415. He already has $140 and plans to save $25 per week. Let w represent the

MrRa [10]

Answer:

It will take 11 weeks of saving to buy the bicycle

Step-by-step explanation:

The Total amount he has saved for the bicycle can be expressed as;

Total amount saved=Initial amount he has+(savings per week×number of weeks)

where;

Initial amount he has=$140

Savings per week=$25

Number of weeks=w

Total amount saved=s(w)

replacing;

s(w)=140+(25×w)

The equation to get the total amount he has saved is;

s(w)=25 w+140....equation 1

Equation 1 above is a linear equation which can be written in the form;

y=mx+c

where;

y=s(w)

m=slope=25

x=the variable=w

c=y-intercept:the value of s(w), when w=o

s(w)=(25×0)+140=140

a). slope=25, y-intercept=140

b). Linear function is one of the form y=mx+c as explained above;

In our case, the linear function will be:

s(w)=25 w+140

c). Now that we have the function s(w)=25 w+140

In order to save to buy the bicycle;

we equate

s(w)=415 and solve for w;

415=25 w+140

25 w=(415-140)

25 w=275

w=275/25

w=11

It will take 11 weeks of saving to buy the bicycle

8 0

4 years ago

Fill blank boxes with the right answer.

emmasim [6.3K]

Answer:

1. $3.60

2. $8.40

3. $42

Step-by-step explanation:

Hope this helps.

3 0

3 years ago

What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Marat540 [252]

hope this help

pls mark as brainliest

4 0

3 years ago

When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a

finlep [7]

$\boxed{ \ 5.0 \times 10^{-3} \ grams \rightarrow 5.0 \ milligrams \ }$

<h3>Further explanation </h3>

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten.

Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of

$\boxed{ \ a \times 10^n \ }$

where

$\boxed{ \ 1 \leq a \ < 10 \ }$

The number "a" is called "mantissa" and the exponent "n" the order of magnitude.

The exponent tells about the size of the number.

A positive exponent indicates a number greater than or equal to 1.
A negative exponent indicates a number between 0 and 1.

From the key questions asked, we face the standard form of 0.005 grams which will be converted into scientific notation.

$0.005 = \frac{5}{1,000}$

The coefficient (or mantissa) is 5, which has fulfilled the interval 1 ≤ a < 10.
The denominator consists precisely of three zero digits.

Hence, 0.005 grams is written in scientific notation as $\boxed{ \ 5.0 \times 10^{-3} \ grams \ }$

Because 1 milligrams is equal to 10^{- 3} grams, then

$5.0 \times 10^{-3} \ grams \times \frac{1 \ milligrams}{10^{-3} \ grams}$

Hence, 0,005 grams is 5.0 milligrams.

In science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

$\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz \ }$

$\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \ \mu eV \ }$

<h3>Learn more</h3>

How is 0.00069 written in scientific notation? brainly.com/question/7263463
How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

Keywords: a pain-relieving pill has a mass, 0.005 grams, express, written, in scientific notation, milligrams, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate

5 0

3 years ago