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kirza4 [7]
3 years ago
9

Can someone please help me with all of these problems. They are a ton of them and they are due tomorrow. PLEASE AND THANK YOU

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

15. \frac{x}{5} - g = a

Add "g" on both sides

\frac{x}{5}  = a +g

Multiply 5 on both sides to get x by itself

x = 5(a + g)

x = 5a + 5g


18. a = 3n + 1

Subtract 1 on both sides

a - 1 = 3n

Divide 3 on both sides to get n by itself

\frac{a - 1}{3}  = \frac{a}{3} -\frac{1}{3} = n


21. M = T - R

Add "R" on both sides to get "T" by itself

M + R = T


24. 5p + 9c = p

Subtract "5p" on both sides

9c = p - 5p

9c = -4p

Divide 9 on both sides to get "c" by itself

c = \frac{-4p}{9} or c = \frac{-4}{9} p


27. 4y + 3x = 5

Subtract "4y" on both sides

3x = 5 - 4y

Divide 3 on both sides to get "x" by itself

x = \frac{5-4y}{3}

x = \frac{5}{3} -\frac{4y}{3}

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Leya [2.2K]
Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can 
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0
3 years ago
Read 2 more answers
Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?
erik [133]

Answer:

$22.34

Step-by-step explanation:

24 pennies is .24 of a dollar

62 nickels will be: (62 x 5) / 100 = 3.10

55 dimes is 5.5

16 quarters will be 4.0

19 fifty-cents will be 9.5

Add them up to get $22.34 if I’m right.

Hope this helped.

5 0
3 years ago
7k - 3k + 11, can somebody please help me out?
Mademuasel [1]

Answer:

4k+11=4011

Step-by-step explanation:

7k - 3k=4k

4k+11=4011

7 0
3 years ago
Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotie
astraxan [27]

Answer:

 we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  \frac{2^5}{8}=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

\frac{2^5}{2^3}=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

6 0
3 years ago
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The height of a kicked football can be represented by the polynomial –15t2 + 17t + 4, where t is the time in seconds. Find the f
lozanna [386]

Answer:

(−5t−1)(3t−4)

Step-by-step explanation:

Factor −15t2+17t+4

−15t2+17t+4

=(−5t−1)(3t−4)

6 0
3 years ago
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