List four numbers when counting backwards in steps of seven

Mathematics

2 answers:

morpeh [17]3 years ago

6 0

28, 14, 7, 0 is a sequence for this

mestny [16]3 years ago

6 0

It's could also go into negatives if you're starting from 7, and counting backwards. like 7,0,-7,-14

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Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Ket [755]

Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

nirvana33 [79]

Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here

5 0

2 years ago

Look at the formula for the volume of a cylinder below.

scZoUnD [109]

$h = V / ( \pi r^2)$

Okay, so we already have the volume equation for a cylinder here.
$V = \pi r^2 h$
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$V / (\pi r^2) = h(\pi r^2) / (\pi r^2)$
then
$V / ( \pi r^2) = h$
$h = V / ( \pi r^2)$

8 0

2 years ago

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dolphi86 [110]

Answer:1 and 1/16

Step-by-step explanation:

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2 years ago

Josh swam 25 laps in 50 minutes. At that rate, how long will it take to swim 35 laps?

GrogVix [38]

Answer:

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Step-by-step explanation:

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2 years ago

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