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kherson [118]
4 years ago
11

Sally wants to add to her collection of seashells. She currently has 100 seashells.

Mathematics
2 answers:
Triss [41]4 years ago
8 0

Answer:

The total number of seashells in Sally’s collection after 5 weeks is 225 and an expression to represent the total number of seashells in Sally’s  collection after w weeks is  y = 100+25w

Step-by-step explanation:

Sally has seashells currently = 100

From today , she will collect 25 seashells each week.

Let w be the no. of weeks

So, she will collect seashells in w weeks = 25w

So, total seashells after w weeks = 100+25w

Let y denotes total seashells after w weeks

So, y = 100+25w

Substitute w = 5

y = 100+25(5)

y = 225

Hence the total number of seashells in Sally’s collection after 5 weeks is 225 and an expression to represent the total number of seashells in Sally’s  collection after w weeks is  y = 100+25w

fomenos4 years ago
5 0
Ok so sally has 100 seashells to start with. Now every week she is going to collect 25 seashells each week and we want to work out how many seashells she has over 5 weeks
So...
1 week-25 seashells
5 weeks-125 seashells
So that’s 5x25 which=125
But she already has 100 seashells to start with so you need to add them on so
125+100=225 seashells after 5 weeks

Answer:225 seashells after 5 weeks
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Answer:

3.5

Step-by-step explanation:

Square root 363=19.1

square root 27=5.2

19.1 - 3 x 5.2

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3 years ago
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Elizabeth wants to rent a cart to carry her picnic items. The cost of the cart is represented by the equation c = 8 + 3h where c
WARRIOR [948]

Answer:

1. Number of Hours: 0, 1, 2, 3, 4, 5

  Cost In Dollars: 8, 11, 14, 17, 20, 23

2. The cost for renting a car for 10 hours is $38

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8 0
3 years ago
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4
Dmitry [639]

Answer:

  • \boxed{\sf Standard-form :x + 4y -17=0 }\\

  • \boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

\longrightarrow x + 4y = 7\\

Firstly convert it into <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>m</u><u>x</u><u> </u><u>+</u><u> </u><u>x</u><u> </u>, as ;

\longrightarrow 4y = -x + 7  \\

\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\

On comparing it to <em>y</em><em> </em><em>=</em><em> </em><em>m</em><em>x</em><em> </em><em>+</em><em> </em><em>c</em><em> </em>, we have ,

\longrightarrow m =\dfrac{-1}{4}\\

\longrightarrow c =\dfrac{7}{4}\\

Now as we know that the <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>p</em><em>a</em><em>r</em><em>a</em><em>l</em><em>l</em><em>e</em><em>l</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>s</em><em>a</em><em>m</em><em>e</em><em> </em>. Therefore the slope of the parallel line will be ,

\longrightarrow m_{||)}=\dfrac{-1}{4}\\

Now we may use <em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line as ,

\longrightarrow y - y_1 = m(x-x_1) \\

On substituting the respective values ,

\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\

\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\

\longrightarrow 4(y -5 ) =-1(x +3) \\

\longrightarrow 4y -20 = - x -3 \\

\longrightarrow x + 4y -20+3=0\\

\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\

Again the equation can be rewritten as ,

\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5  \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4}  \\

\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{  y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\

6 0
2 years ago
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Bingel [31]

Answer:

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Step-by-step explanation:

1894+x^2

41 squared IS 1,681.

Adding 213 makes it 1894.

And you end up with the expression 1894+x^2

Hope this helps!

4 0
3 years ago
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