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2 years ago

Which algebraic expression represents “the difference of 54 and a number”? HELP I AM TIMED ASAP

Mathematics

1 answer:

DedPeter [7]2 years ago

7 0

Answer:

The first one

Step-by-step explanation:

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Your grandmother wants to spend at least $40 but no more than $60 on school clothes for you. T-shirts sell for $10 and pants sel

ss7ja [257]

she could buy 2 pants and 2 shirts because 2 pants =$40 and 2 shirts=$20 so 40 +20=60

5 0

3 years ago

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago

Help! Got it wrong after trying first time and need helppp !

finlep [7]

We are given the equation:

DA - 2qA = B³

Taking 'A' common on the LHS

A(D - 2q) = B³

Dividing both sides by (D - 2q)

A = B³ / (D - 2q)

5 0

2 years ago

Binomial Theorem, proof

IrinaVladis [17]

It follows from the definition of the binomial coefficient:

$\dbinom nr=\dfrac{n!}{r!(n-r)!}$

So we have

$(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}$

That is, $(n+1)$ gets absorbed into the numerator's factorial, and we introduct $(r+1)$ into the denominator. Now, $(n+1)-(r+1)=n-r$ , so we get

$(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}$

as required.

4 0

2 years ago

The third shipment weighed 10.25 times as much as the second shipment. if the third shipment weighed 15,662 pounds how much does

N76 [4]

Answer:

$1528 = s$

Step-by-step explanation:

15662 = 10,25s

______ _______

10,25 10,25

$1528 = s$

The second shipment weighs $1528$ pounds.

I am joyous to assist you anytime.

5 0

3 years ago