I need to figure out a linear function for these points

Hugh bought some magizines that cost 3.95 each and some books that cost 8.95 each. He spent a total of 47.65.If Hugh bought 3 ma

HACTEHA [7]

Answer:

4 books

Step-by-step explanation:

We are told that: Hugh bought some magazines that cost 3.95 each

Hugh bought 3 magazines.

Hence, total cost of magazines = 3 magazines × 3.95

= 11.85.

Total cost of magazines = 11.85

From the question, we know that, the total amount Hugh spent = 47.65

Hence, The total cost for books =

Total amount spent - Total cost of magazines

= 47.65 - 11.85

= 35.80

Therefore, the total cost of books = 35.80

We are told in the question that the cost of books is 8.95 each or 8.95 per book.

Hence, the number of books that Hugh bought is calculated as :

35.80/8.95

= 4 books

Therefore, Hugh bought 4 books

6 0

3 years ago

the diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of the rectang

Sergio [31]

Answer:

2640mm

Step-by-step explanation:

I'm assuming you need the area of the rectangle which the circles don't take up.

First, to find the area of the whole rectangle:

length x width

to find length:

the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm

to find width:

the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm

So, area of rectangle = 64 x 192 = 12288mm

Now to find the area the circles take up:

area of 1 circle =

$\pi \times {r}^{2}$

=

$\pi \times {32}^{2}$

=

$1024\pi$

As we have 3 circles, we multiply this by 3:

$1024\pi \times 3 = 3072\pi$

Finally we subtract the area of the three circles from the area of the rectangle:

$12288mm - 3072\pi = 2637$

As we need to round it to 3 significant figures, the answer is 2640mm

7 0

2 years ago

The three sides of a triangle are 11/3 cm , 15/4 cm and 26/9 cm . find it's perimeter .

Verizon [17]

<h3>☘︎Answer :- </h3>

$\sf\longmapsto \: \frac{371}{36}$

<h3>☘︎ Solution :- </h3>

Given : Three sides are 11/3 cm , 15/4 cm and 26/9 cm
To find : perimeter of the triangle

Perimeter of a triangle = Sum of the length of the three sides

perimeter of the given triangle = 11/3 + 15/4 + 26/9

Make the denominator same by taking the LCM of the denominators .

( LCM of 3 , 4 and 9 is 36 )

$\sf\longmapsto \: \frac{132 \: + \: 135 \: + \: 104}{36} \: \: \:$

$\sf\longmapsto \: \frac{371}{36} \: cm \:$

♧ Therefore, the perimeter of a triangle is 371/36 cm

5 0

2 years ago

Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

3 0

4 years ago

The four highest scores on the floor exercise at a gymnastics meet were 9.685, 9.28, 9.366, and 9.5 points.

DaniilM [7]

Answer:

9.28 is lowest

9.685 is highest

Step-by-step explanation:

6 0

3 years ago

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