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2 years ago

Seven and eight hundredths in expanded and standard form

Mathematics

1 answer:

Dimas [21]2 years ago

7 0

Answer:

70000000000

8000000000 that is the answer I wonder why ieven downloaded this app self you guys fraust me every time

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X/13 - 1 = 5x/2 + 1/2 please answer the question pls pls pls pls

Morgarella [4.7K]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

the given expression can be solved as follows ~

$\frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\$

taking LCM both the sides ,

$\frac{x - 13}{13} = \frac{5x + 1}{2} \\$

on cross multiplying ,

$(x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13$

let's now gather the like terms at either sides of the equation ~

$65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}}$

on simplifying the equation ,

$\implies \frac{-13}{21}\\$

hope helpful ~

8 0

1 year ago

Read 2 more answers

The 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 20th term

Helga [31]

20th term= 119

Step-by-step explanation:

Let the first term of AP be a

and common difference be d

nth term is given by,

= a+(n-1)d

6th term = 35

a+(6-1)d= 35

a+5d=35 -----------------(i)

13th term = 77

a+12d= 77----------------(ii)

Now, equation (ii) - (i)

a+12d-(a+5d)= 77-35

a+12d-a-5d= 42

7d=42

d=6

Now, from equation (i)

a= 35-5d= 35-5(6)= 35-30 = 5

20th term= a+19d= 5+19(6)= 119

5 0

2 years ago

Find the dimensions of a rectangle whose area is 285 cm2 and whose perimeter is 68 cm.

enyata [817]

$\bf \textit{area of a rectangle}\\\\
A=lw\quad 
\begin{cases}
l=length\\
w=width\\
-----\\
A=285
\end{cases}\implies 285=lw\implies \boxed{\cfrac{285}{w}=l}
\\\\\\
\textit{perimeter of a rectangle}\\\\
P=2(l+w)\quad 
\begin{cases}
l=\frac{285}{w}\\\\
P=68
\end{cases}\implies 68=2\left( \boxed{\cfrac{285}{w}}+w \right)
\\\\\\
\cfrac{68}{2}=\cfrac{285}{w}+w\implies 34=\cfrac{285+w^2}{w}\implies 34w=285+w^2$

$\bf 0=w^2-34w+285\implies 0=(w-19)(w-15)\implies w=
\begin{cases}
19\\
15
\end{cases}
\\\\\\
\stackrel{lenght}{l}=
\begin{cases}
\frac{285}{19}\implies &15\\\\
\frac{285}{15}\implies &19
\end{cases}$

7 0

2 years ago

Order these numbers from least to greatest. 16310 , −270 , −503 , −16.5

Komok [63]

-503 -270 -16.5 16310

7 0

3 years ago

Read 2 more answers

A car travels 240 miles in 4 hours. at this rate, how many miles will it travel in 8 hours

oksian1 [2.3K]

First you need to find the rate. This problem is based on the formula d = rt
d = distance
r = rate
t = time.

The question is asking how many miles will it travel in 8 hours so to find this out we need to find the rate when the car travels 240 miles in 4 hours. We use this information and plug it into the model d = rt

d = 240
r = don't know yet
t = 4 hr
d = rt
240 = 4r
240 / 4 = 4r / 4
60 = r
r = 60
So the car is going at a rate of 60 miles per hour. Now that we know this we can solve for how many miles the car will travel in 8 hours.
d = rt
d = r * t
d = 60 * 8
d = 480

So the car will travel 480 miles in 8 hours

Another way to think about this is that you know the car traveled 240 miles in 4 hours and the question is wanting to know how far the car will travel in 8 hours, which would be double the 4 hours so 240 + 240 = 480

8 0

3 years ago