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3 years ago

The product of 15 and the sum of a number and 5 is 90.

Mathematics

1 answer:

finlep [7]3 years ago

6 0

Fifteen times six is ninty so if we add one in five we get fifteen times six which gives the product ninty

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Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

VladimirAG [237]

First, we start off with the nth term formula for an arithmetic sequence, which is
$a_{n} =a_{1}+(n-1)d$

plug in the sequence numbers where they belong

$a_{n}=5+(n-1)*(-4)
$
$a_{n}=5+(-4n+4)$
$a_{n}=5-4n+4$
$a_{n}=-4n+9$

And this is the final answer
$-4n+9$

4 0

3 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

What’s the answer to number 19??

Igoryamba

The answer equals 6.

Since 3 3/4 equals 15/4, when you divide you have to switch the numbers in the divisor and then you turn the equation into multiplication.

So then it will be 15/4 x 4/3.

15 x 4 = 60

4 x 3 = 12 so the answer is 60/12. But you have to simplify so half of 60/12 is 30/6 and then half of 30/6 is 15/3 then you have to pick the gcf of 3 and 15 which is 3.

15 divided by 3 equals 5.

3 divided by 3 equals 1 so 5/1 equals 5

Hope this helps! ;)

5 0

3 years ago

Find the gradient of the line l1 which has equation 4x-3y+5=0 .

Nikitich [7]

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.