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3 years ago

Use the distributive property to write 35 + 15 as a sum with no common factors

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

Here's one:

5(3+4)+3(20-5)

Think of different ways that add or multiply up to 35 or 15.

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The seventh term of an arithmetic progression is equal to twice the fifth term. The sum

mario62 [17]

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

Given $S_{7}$ = 84 , then

$\frac{7}{2}$ (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

6 0

3 years ago

alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th

dimaraw [331]

The distance in kilometers in scientific notation $2.03 \times 10^3 km$

<h3>Scale factors</h3>

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of $2.9 \times 10^2$ kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

Distance travelled = $7(2.9 \times 10^2)$
Distance travelled = $2.03 \times 10^3 km$

Hence the distance in kilometers in scientific notation $2.03 \times 10^3 km$

Learn more on distance here: brainly.com/question/23848540

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2 years ago

How do you work out <br> 5x71

Gwar [14]

Answer:

355

Step-by-step explanation:

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2 years ago

Transformation example

leonid [27]

Answer:

Rotation, Reflection, Dilation.

Step-by-step explanation:

4 0

1 year ago

Help me with this question pls pls pls

34kurt

Answer:

Check pdf

Step-by-step explanation:

Download pdf

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2 years ago