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3 years ago

What is the value of x?

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

Where is your question?

Step-by-step explanation:

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Show work and explain with formulas.

Juli2301 [7.4K]

20 Answer: a₁ = 4

Step-by-step explanation:

$a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1$

21 Answer: n = 13

Step-by-step explanation:

$a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n$

22 Answer: n = 5

Step-by-step explanation:

$a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n$

6 0

3 years ago

Read 2 more answers

What is the probability that a randomly selected customer purchases the classic car wash if they do not vacuum their car?

Yuliya22 [10]

Highly because they do not have to vacuum their car

8 0

3 years ago

4. Van's Deli sells hot dogs for $2 and hamburgers for $5. His daily sales goal is $200.

Brilliant_brown [7]

Answer:

the deli would have to sell 100 hot dogs or 40 burgers

Step-by-step explanation:

6 0

3 years ago

Change 1.4 to a fraction.

kifflom [539]

1.4 as a fraction is 1 4/10 (simplified to 1 2/5).

3 0

3 years ago

Read 2 more answers

Lena and three of her friends bought just enough food so they could go for a 12-day camping trip. Pete and Jane surprised them b

blagie [28]

Answer:

33.3%

Step-by-step explanation:

The number of people that must be fed has increased from 4 to 6, so is 6/4 = 3/2 as many as planned.

Assuming the additional people eat the food at the same rate as the original people, the time and number of people are assumed to be inversely proportional. That is, the time the food will last is 2/3 of the originally expected time. It has decreased by 1/3 × 100% = 33.3%.

___

If you like, you can count rations. For four people for 12 days, at 3 rations per person per day, a total of 144 rations are needed. When the number of people becomes 6, the number of days that will last is ,,,

(144 rations)/(6 persons)/(3 rations/person/day) = 8 days

The percentage change in trip days is ...

(8 -12)/12 × 100% = -4/12 × 100% = -33.3% . . . a decrease of 33.3%

3 0

3 years ago

What is the value of x?​

What is the value of x?