All categories

3 years ago

Can someone pls help quickly?

Mathematics

1 answer:

zmey [24]3 years ago

6 0

From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.

<h3>What is a ratio?</h3>

A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.

<h3>What is the explanation for the solution above?</h3>

<h3>Step 1 - Indicate your assumptions</h3>

Let X be the width of one of the rectangles and let its height be Y.

It is clear from the image that:

4X = 3Y

Hence

(4/3)X = Y

Therefore,

Lenght (L) = 3Y

= 3 (4/3)X

= 4X

Width (W) = Y + 2X

= (4/3)X + 2X

= (10/3)X

Therefore,

L : W = 4X: 10/3X

= 4:10/3

To remove the fraction, multiply both sides of the ratio by 3

= 12 : 10, furhter simplify by halving each value, and we have

= 6:5

Hence, the ratio L: W in simplified form is 6 : 5.

Learn more about ratios at:
brainly.com/question/2328454
#SPJ1

You might be interested in

The New Orleans Saints scored 7 fewer points than twice the points scored by the Pittsburgh Steelers. The two teams together sco

zalisa [80]

Answer:

(m) + 2 (m) - 7 = 32 is the needed expression.

Points scored by Pittsburgh Steelers = 13

Points scored by New Orleans Saints = 19

Step-by-step explanation:

Let us assume the points scored by Pittsburgh Steelers = m

So, the Points scored by New Orleans Saints

= 2 (Points scored by Pittsburgh Steelers ) - 7

= 2 (m) - 7

Also,the total points scored by both teams = 32

So the points scored by( New Orleans Saints + Pittsburgh Steelers) = 32

⇒ (m) + 2 (m) - 7 = 32

or, 3 m = 32 + 7 = 39

⇒ m = 39/ 3 = 13, or m = 13

So, the points cored by Pittsburgh Steelers = m = 13

and the points scored by New Orleans Saints = 2m - 17

= 2(13) - 7 = 19

8 0

3 years ago

Which is the same as 15.39 ÷ 100?

marta [7]

1.539 ÷100 would be the same

5 0

3 years ago

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

4 years ago

Draw a sketch to help you solve this problem.

sergey [27]

Lucy used 2 1/3 kilograms of apples for her dessert.

Get the whole fraction.

3 2/3 = ((3*3) + 2) / 3 = 11/3
1 1/3 = ((3*1) + 1) / 3 = 4/3

Original weight of apples = 11/3
Remaining weight of apples = 4/3
weight of apples used = ?

Subtracting fractions:
Step 1. Make sure the denominator are the same

11/3 - 4/3

Step 2. Subtract the numerators and put the difference above the denominator

(11 - 4) / 3 = 7/3

Step 3. Simplify the fraction

7/3 = 2 1/3

4 0

3 years ago

Are all of these answers correct? The table is needed to complete the questions. Thanks!

jolli1 [7]

I think that is all good double check in case though

7 0

4 years ago

Read 2 more answers