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3 years ago

Are the ratios 20:4 and 5:1 equivalent?

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

20 divided by 4 is 5

5 divided by 1 is 5

ycow [4]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

20/4

simplify by dividing 20 by 4

5/1=5/1

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PB_WITH_FSA_DIAG_6825_OL_FY21

astra-53 [7]

Answer:

uhm.....what?

Step-by-step explanation:

8 0

3 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

PLEASE HELP!!!!!!!!!!!

Art [367]

green pepper, onion, tomato

= 2x, 5x, 9x

Number of cups = 96

therefore 2x + 5x + 9x = 96

16x=96

x= 96÷16 = 6

Onion = 5x

therefore answer = 6 x 5 = 30

C. 30 is the correct answer :)

6 0

3 years ago

4. La figura se muestra un armazón arqueado de 50 metros de longitud con las alturas indicadas. Los "tirantes" verticales están

tatiyna

Step-by-step explanation:

verticales están a 12 metros uno del otro. Si tanto la parte superior como la inferior del arco son arcos de parábola, redondeo hasta el metro más cercano la suma de longitudes de los tirantes verticales e inclinados.

4 0

3 years ago

I need this to be answered by 11:59 pm pls help

Gnesinka [82]

Answer:

Step-by-step explanation:

1) 8

2) ?

3) g=7

4) v=6

5)x=-4

6) p=8

now #2 i havent learnd yet but all the others. EASYYYYY i love math just choose me if you are having troubles in algebra at all i got you bro <3

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3 years ago