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maw [93]
2 years ago
6

Solve:........................

x%20-%201%7D%7B5%7D%20" id="TexFormula1" title=" \frac{x}{3} + 4 = \frac{4x - 1}{5} " alt=" \frac{x}{3} + 4 = \frac{4x - 1}{5} " align="absmiddle" class="latex-formula">

​
Mathematics
1 answer:
lakkis [162]2 years ago
7 0

Answer:

\frac{x}{3}  + 4 =  \frac{4x - 1}{5}  \\  \\  \frac{x}{3}  +  \frac{12}{3}  =  \frac{4x - 1}{5}  \\  \\  \frac{x + 12}{3}  =  \frac{4x - 1}{5}  \\  \\ 3(4x - 1) = 5(x + 12) \\  \\ 12x - 3 = 5x + 60 \\  \\ 12x - 5x = 60 + 3 \\  \\ 7x = 63 \\  \\ x =  \frac{63}{7}  \\  \\ x = 9

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Dan saved twice as much as Brett. Maria saved $60 more than Brett. If they saved $600 altogether, how much did Maria save?
givi [52]
Setting it up, we have Dan + Bret + Maria all saving 600.00
Dan = 2B
Bret = B
Maria = B+60

2B + B + B + 60 = 600
4B = 540
B = 135

Dan = 2(135) = 270
Brett = 135
Maria = 135 + 60 = 195
5 0
3 years ago
Read 2 more answers
In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence
expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

6 0
3 years ago
Write an equation for the line through (4,-1) and (6,9).<br>​
artcher [175]

Answer:

y = 5x - 21

Hope this helps!

3 0
3 years ago
Read 2 more answers
Which of the following equations represents a proportional relationship?
IceJOKER [234]

Answer:

a

Step-by-step explanation:

y=3x

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3 years ago
Express your answer in scientific notation. 6.4 * 10^5 + 36,000 =
alex41 [277]

Answer:

6.76x10^5

^ represents to the 5th power

Step-by-step explanation:

8 0
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