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DIA [1.3K]
4 years ago
10

Using Quadratic Equations to Solve Problems:

Mathematics
1 answer:
satela [25.4K]4 years ago
3 0

Answer:

4

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

10x² = 40x

x = 4 . . . . . . . divide by 10x

the number is 4. Hope that helps love!

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If 150g of sugar is used for 5 cakes<br> How much is used for 7 cakes?:)
KIM [24]
Well, if 150 grams is used for 5 cakes, we can divide that.
150/5=30. 30 grams of sugar are used for each cake
You want to know how many grams for 7 cakes
30x7=<u><em>210 grams of sugar are used for seven cakes.
</em></u>Hope this helps!<u><em>
</em></u>
3 0
3 years ago
Read 2 more answers
The surface are I cannot find
Ilia_Sergeevich [38]

check the picture below.


so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".


\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b&#10;\qquad&#10;\begin{cases}&#10;c=\stackrel{hypotenuse}{5.2}\\&#10;a=\stackrel{adjacent}{2.6}\\&#10;b=\stackrel{opposite}{h}\\&#10;\end{cases}&#10;\\\\\\&#10;\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h


so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.


\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}&#10;\\\\\\&#10;11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft

5 0
3 years ago
Read 2 more answers
Question
Fantom [35]

Answer:

a. More than one pie

Step-by-step explanation:

2/3 + 3/4

8/12 + 9/12 = 17/12

17/12 = 1 5/12

3 0
3 years ago
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than
Alik [6]
I’m pretty sure the answer would be A,because if her bill is $97 and it’s $0.10 every txt she sends then and she wants to spend less then $113 then if you take $113 and subtract it by 97 it gives you 16 then if you divided 16/ 0.10 then it gives you 160 so she is sending atleast 160 txt.
6 0
3 years ago
Mr.Baker is making a box using all of a 48-inch strip of oak. the box will be 14 inches wide. how long will the box be?
blsea [12.9K]

The length of the box made by Mr. Baker is 10-inch

Mr. Baker has strip of 48- inch long  oak, by this strip he is making the rectangle box of width 14-inch.

<h3>What is a rectangle?</h3>

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.

The width of the  box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
⇒ length of the box = (48 - 2*14)/2
⇒ length of the box = 10 inches

Thus the Mr. Baker made the box which is 10 inches long.

learn more about rectangles here:
brainly.com/question/15019502

#SPJ1

7 0
2 years ago
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