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adell [148]
3 years ago
9

Math 1:

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0
X= the amount of hot dogs y= the number of popcorn balls. 
System 1= 2x+4y=14.00
System 2= 4x+7y=26.00 
i think

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Can anyone help me out on this
swat32

Answer: y = 1/8x+1

y=mx+b is slope intercept form

given m = 1/8 and a point we can find b by plugging in what we have

1=1/8(8)+b

1=1b

b=1

So then we know m = 1/8 and b = 1

y=1/8x+1 is the answer

3 0
2 years ago
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
Identify the solution(s) of the system of equations, if any.<br> -6x - 4y = 12<br> 12y = -18x - 36
UkoKoshka [18]
-6x - 4y = 12|\div 2\\&#10;12y = -18x - 36|\div 6\\\\&#10;-3x-2y=6\\&#10;2y=-3x-6\\\\&#10;-3x-2y=6\\&#10;-3x-2y=6

Both equations are equivalent, so there are infinitely many solutions.
5 0
3 years ago
V = the square root of 2as Solve for s
Gnom [1K]
 As, v=√2as
Squaring both sides,
v²=2as
∴ s= v²/2a
6 0
2 years ago
You are designing a rectangular swimming pool that is to be sent into the ground. The width of the pool is 5 feet more than the
Vikentia [17]

Answer:  depth = 5 ft

width =  10 ft

length =  40 ft

Step-by-step explanation:

d =  depth

width = d + 5

length = d + 36

Volume = length x width x depth = 2000 cf

d(d+35)(d+5) = 2000

d(d^{2} + 40d + 175) = 2000

d^3 + 40d^2 + 175d = 2000

rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0

d^3 + 40(d^2) + 175d - 2000 = 0

Find the roots of the cubic polynomial:

factors of 2000 are 1, 5, 10 15, 20, etc.

Try the factor 5 first by plugging it in the equation:

5^3 + 40(5^2) + 175(5) - 2000 = 0  

Lucky break!  No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.

So, depth = 5 ft

width = 5 + 5 = 10 ft

length = 5 + 35 = 40 ft

6 0
1 year ago
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