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Olegator [25]
3 years ago
10

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of

10 times and spent a total of 37 tickets.
Mathematics
1 answer:
True [87]3 years ago
6 0
Let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37 
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35 POINTS - question 31 please!
ryzh [129]

Area is Length x width:

(2x+5) * x = 420

Distributive property:

2x^2 +5x = 420

Subtract 420 from both sides:

2x^2 + 5x - 420 = 0

Using the quadratic formula:

a = 2, b = 5, c = -420:

-5 +/ √5^2 -4*(2*-420) / 2*2

x = 13.2951

Rounded to the nearest hundredth = 13.30 inches.

5 0
2 years ago
About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum?
Firlakuza [10]
The answer is 396,748
6 0
3 years ago
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claim
kakasveta [241]

Answer:

Following are the responses to the given choices:

Step-by-step explanation:

In step 1:

State the zero and alternate test hypotheses. Insert underneath.

H_0 : \mu = 24: H_a : \mu < 24

H_0 Smaller companies in their region are and they spend at least 24 hours per week on the marketing of the these companies

H_1 There really is no growth for smaller firms in their area because the companies spend or less 24 hours per week on marketing.

In step 2:

Each test statistics meaning is calculated. Around two decimal places for your reply.

z=\frac{\bar{X}-\mu_{0}}{\frac{\sigma}{\sqrt{n}}}=\frac{23.2-24}{\frac{4.2}{\sqrt{88}}}=-1.787

In step 3:

Draw a start and write the decision.

Since it is observed that z=-1.787 < z_c=-1.64 it is then concluded that the null hypothesis is rejected.

Consequently we consider that small companies in their field may not expand, as they spend or less 24 hours per week on marketing.

5 0
2 years ago
Point F is on circle C. What is the length of line segment GF?
Levart [38]
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
Read 2 more answers
Anybody know the answers??? Helpppp
goldenfox [79]

Answer:

2. x = 135

Step-by-step explanation:

im not sure about question 1

8 0
2 years ago
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