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4 years ago

15

Can you help me on algebra homework?

2 answers:

Debora [2.8K]4 years ago

4 0

What is it? the homework

djyliett [7]4 years ago

3 0

Of course I can, but what's the question?

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In a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh

poizon [28]

Answer:

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

Step-by-step explanation:

We know that in a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh term is equal to 6. Therefore, we have

$a_1+a_2=x\\a_3=x\\a_4=2x\\a_5=3x\\a_6=5x\\a_7=8x\\$

We know that:

$a_7=6\\\implies 8x=6\\x=\frac{3}{4}$

We get:

$a_1+a_2=x=\frac{3}{4}\\\\a_3=x=\frac{3}{4}\\\\a_4=2x=\frac{3}{2}\\\\a_5=3x=\frac{9}{4}\\\\a_6=5x=\frac{15}{4}\\\\a_7=8x=6\\\\a_8=13x=\frac{39}{4}\\\\a_9=21x=\frac{63}{4}\\\\a_{10}=34x=\frac{102}{4}\\$

Therefore, we calculate

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

4 0

3 years ago

Which two numbers below have a least common multiple of 48?

gladu [14]

Answer:

D) 3 and 16

Step-by-step explanation:

A common multiple is the result of multiplicacion of two numbers

3x16= 48

3 0

3 years ago

For every 4 gallons of green paint he uses 3 gallons of blue paint. Drag the correct number of each type of paint into the box t

Inga [223]

Answer:

Amount of green color used =

$\dfrac{64}{7}\text{ gallons}$

Step-by-step explanation:

We are given the following in the question:

Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.

Ratio of green color to blue paint can be calculated as:

$=\dfrac{\text{Amount of green color}}{\text{Amount of blue color}}\\\\=\dfrac{4}{3}$

Amount of shade = 16

Amount of green paint = $4x$

Amount of blue paint = $3x$

Thus, we can write:

$4x + 3x = 16\\7x = 16\\\\x = \dfrac{16}{7}$

Amount of green color used =

$4x = 4\times \dfrac{16}{7} = \dfrac{64}{7}\text{ gallons}$

Amount of blue paint used =

$3x = 3\times \dfrac{16}{7} = \dfrac{48}{7}\text{ gallons}$

4 0

3 years ago

The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the l

Amanda [17]

Answer: 6,160,000 db

Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:

= Sound of lawnmower * 70,000

= 88 * 70,000

= 6,160,000 db

8 0

3 years ago

Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined. Is Ranger right that 8x − 2

ladessa [460]

Answer:

4(2x - 5)

Step-by-step explanation:

Rewrite "20" as 4 * 5

Rewrite "8" as 4 * 2

=4 * 2x - 4 * 5

Factor out common term "4"

=4(2x - 5) <------ Your answer.

5 0

3 years ago

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