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iris [78.8K]
2 years ago
13

Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which

expression represents the number of baseball cards that Amaya has?
Mathematics
1 answer:
marishachu [46]2 years ago
4 0
Answer: 4n -7

Sam has 4 times than Declan so it would 4n. Amaya has fewer so then you would add the -7 and the equation you get is 4n - 7.
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HELP! WILL AWARD BRAINLIEST TO WHOEVER ANSWERS BOTH PARTS CORRECTLY!!
rewona [7]

check the picture below.

now, we're assuming the trapezoid is an isosceles trapezoid, namely AD = BC, and therefore the triangles are twins.

incidentally, b is the height of the trapezoid and likewise is also the altitude or height of the concrete triangle.

so we can simply get the area o the trapezoid, notice the bottom base is a+185+a, and then get the area of the concrete triangle and subtract the triangle from the trapezoid, what's leftover is just the vegetation area.

\bf \begin{cases} a=283\cdot cos(80^o)\\ a\approx 49.14\\ --------\\ b=283\cdot sin(80^o)\\ b\approx 278.70 \end{cases}\\\\ -------------------------------\\\\ \textit{area of a trapezoid}\\\\ A=\cfrac{h(x+y)}{2}~~ \begin{cases} x,y=\stackrel{bases}{parallel~sides}\\ h=height\\ ----------\\ x=185\\ y\approx \stackrel{a+185+a}{283.28}\\ h\approx\stackrel{b}{278.70} \end{cases} \\\\\\ A=\cfrac{278.70(185+283.28)}{2}\implies A\approx 65254.818

so that's the area of the trapezoid, now let's get the area of the triangle.

\bf \stackrel{triangle}{\cfrac{1}{2}(185)(b)}\implies \cfrac{1}{2}(185)(278.70)\qquad \approx 25779.80\\\\ -------------------------------\\\\ \stackrel{\textit{area for vegetation}}{\stackrel{\textit{area of trapezoid}}{65254.818}~~-~~\stackrel{\textit{area of triangle}}{25779.80}}\implies 39475.018

since we know 36 yd² cost 12 bucks, then how much will it be for 39475.018 yd²?

\bf \begin{array}{ccll} yd^2&\$\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 36&12\\ 39475.018&x \end{array}\implies \cfrac{36}{39475.018}=\cfrac{12}{x}\implies x=\cfrac{39475.018\cdot 12}{36} \\\\\\ x\approx 13158.339\overline{3}

3 0
3 years ago
The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which
Oxana [17]
Find attached a graph that I constructed.

To do that graph I used Excel.

First I did a table with this set of points:

<span><span><span>height      presuure
</span> <span> miles        psi
</span> <span> 0              14,7 </span> <span> <---- initial data

3.6           7.35 </span> <span> <--- increase hegiht 3.6 miles => half pressure

7.2            3.675 </span> <span> <---- second increase of 3.6 miles in height

10. 8         1.8375 </span> <span> <---- third increase of 3.6 miles in height

14.4           0.91875 </span> <span>

18              0.459375 </span> </span></span>
Download pdf
5 0
3 years ago
Read 2 more answers
Write as many equivalent expressions to 3/4(4x-8)+1/4(4x-8)
Deffense [45]

Answer:

4x-8

Step-by-step explanation:

3/4(4x-8)+1/4(4x-8)

12/4x-24/4+4/4x-8/4

3x-6+x-2

3x+x-6-2

4x-8

8 0
2 years ago
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What statement best describes the function?
xxMikexx [17]

Answer:

d

Step-by-step explanation:

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%205%20%20%5Cgeqslant%2012%20%5C%5C%20" id="TexFormula1" title="x + 5 \geqslant 12 \\
N76 [4]

Hello from MrBillDoesMath!

Answer:

x >= 7

Discussion:

x + 5 >= 12                  =>  add -5 to both sides

x + 5 -5 >= 12 - 5        => as 5-5 = 0 and 12 =5 = 7

x >= 7

Thank you,

MrB

6 0
3 years ago
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