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alisha [4.7K]
3 years ago
8

(1CQ) Write the repeating decimal as a fraction .51

Mathematics
2 answers:
egoroff_w [7]3 years ago
8 0

Answer: Your answer is 17/33! Hope this helps. If you need anymore help let me know!

Olenka [21]3 years ago
5 0

For this case we must indicate the representation in the form of a fraction of the following decimal number:

0.51 periodic number

Option A:

\frac {17} {100} = 0.17

Option B:

\frac {51} {100} = 0.51

Option C:

\frac {17} {33} = 0.51515151

Option D:

\frac {51} {33} = 1.5454

So, the correct option is C

Answer:

Option C

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Lucia has 10 dimes and nickels worth a total of $0.60. Use the graph to find the number of dimes and nickels that Lucia has.
Reil [10]
The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically. Complete a table of values for each line.

The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes and 8 nickels. 

hope it helps :) feel free to ask anymore questions 

5 0
3 years ago
Solve for x.<br> 6(x - 1) = 9(x + 2)<br> x = -8<br> X = -3<br> X = 3<br> x = 8
Wewaii [24]

Answer:

x=-8

Step-by-step explanation:

6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}

6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\

4 0
3 years ago
Read 2 more answers
Find the missing angle on a quadrilateral. Angle C equals 80 degrees, Angle D equals 90 degrees, and angle E equals 135 degrees.
padilas [110]
All quadrilateral angles have to add up to a total of 360°, so we just need to add the angles we already have and subtract that from 360.
135+90+80=305
360-305=55 so your answer is 55!
4 0
2 years ago
A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?
horrorfan [7]
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
3 0
2 years ago
Question 2
FrozenT [24]

Answer:

y=-3x-1

Step-by-step explanation:

<u>Slope-intercept format:</u>

y = mx+b

m = slope

  • In this case, the slope is -3

b = y-intercept

  • In this case, the y-intercept is -1

Now we plug it in to get the equation:

y=-3x-1

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

3 0
2 years ago
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