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Harrizon [31]
2 years ago
15

Toni and Marcy partnered together in running laps around a track to raise money for the Children's Hospital's playroom. Toni rai

sed $20 plus $0.80 per lap that he ran. Marcy raised $15 plus $0.85 per lap that she ran. Toni swam 114114 times as many laps as Marcy swam. Together they raised a total of $257.00. Let x represent the number of laps Marcy swam
Enter the simplified equation that represents the total number of laps Toni and Marcy swam in the first box and the amount of laps Toni swam in the second box.

= 257
Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0
X represent the number of laps Marcy swam, 114x represent the number of times Toni swam.

20 + 0.80(114x) + 15 + 0.85x = 257
20 + 91.2x + 15 + 0.85x = 257
92.05x + 35 = 257

Required equation is 92.05x + 35 = 257
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Svetlanka [38]
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle

Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a

Explanation of problem:

sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that

since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

{ \sin}^{ - 1} (\frac{16cm}{28cm})
x = sin^-1 (16cm/28cm)

Answer:

x = 34.84990458°

I don't know how far rounded you'll need it
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7 0
3 years ago
SOMEOME HELP this is my third time posting those SERIOUSLY HELP ME PLEASE
Hoochie [10]

The correct answer is C (7, 9)

Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).

So, we can just add 5 to each of the A value numbers to get point P.

A = (2, 4)

P = (2+5, 4+5)

P = (7, 9)

6 0
3 years ago
Nathan drew a scale drawing of a house he use the scale 5 cm equal 3 m if the actual length of the garage is 12 m how long is th
never [62]
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4 0
3 years ago
When finding the 9th term in a geometric sequence with a common ratio of 2 and a first
Zarrin [17]

Answer:

8

Step-by-step explanation:

Nth term of a geometric sequence is given as:

t_n = a r^{(n-1)} ...(1)

Plugging n = 9, a = 3 and r = 2 in the above equation, we find:

t_9 = (3) (2)^{9-1}

t_9 = (3) (2)^{8}... (2)

Comparing equations (1) & (2), we obtan:

(n - 1) = 8

5 0
3 years ago
X - 35 > 15 pleases solve
IrinaVladis [17]
Answer:

x-35>15

x>15+35

x>50
3 0
2 years ago
Read 2 more answers
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