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3 years ago

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

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Help someone please!! don’t understand

Citrus2011 [14]

Radical 2 = 1.4 So 1.4 * 6 = 8.4

a^2 + b^2 = c^2

8.4^2 + 8.4^2 = square root of c

70.56 + 70.56 = 141.12 ≈ 141

Then you must find the square root of 141 which is 11.874 ≈ 11.9

Side a = 8.4
Side b = 8.4
Side c = 11.9

5 0

3 years ago

2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou

jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>

7 0

2 years ago

Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon

sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}$

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3$

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0

3 years ago

Factor completely <br>5x^2-9x-2

wariber [46]

Answer:

(5x+1)(x - 2)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Solve the proportion.

zmey [24]

Problem

8 over 3

g over 3

Cross multiply

8 × 3 = 24

g × 3 = 3g
__________

24 × 3g
--- ----
3 3
(Cross out "3g" and "3" on the right )

Then "divide" 24 and 3. It should leave you with 8

Your answer: g= 8

7 0

4 years ago