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Lyrx [107]
2 years ago
13

Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following equations represents his total cost? A. y=

34x. B. y=4x+30 C. y=30x+4. D. y=4x+34
Mathematics
2 answers:
LenKa [72]2 years ago
6 0

Answer:

y =30+4x

Step-by-step explanation:

Given : Michael pays $30 to enter a state fair, plus $4 for each ride.

To Find: Which of the following equations represents his total cost?

Solution:

Let x be the number of rides .

Cost of 1 ride = $4

So, cost of x rides = 4x

We are given that Michael pays $30 to enter a state fair

Entry fee = $30

Let the total cost be y

So, total cost = y =30+4x

Hence the equation represents his total cost is y =30+4x.

omeli [17]2 years ago
4 0
He spends 30 to enter and 4 per ride

y = 4x + 30....with x being the number of rides and y being the total cost
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a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the larges
Nitella [24]

Answer:

72

Step-by-step explanation:

We are assuming that all girls in the group bought the same number of items.

Therefore, we need to find the highest common factor of 72, 144 and 216.

HCF

72 = 2 * 2 * 2 * 3 * 3

144 = 2 * 2 * 2 * 2 * 3 * 3

216 = 2 * 2 * 2 * 3 * 3 * 3

The product of the emboldened numbers is the highest common factor.

That is:

2 * 2 * 2 * 3 * 3 = 72

Therefore, the largest possible number of girls in the group is 72.

5 0
2 years ago
Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim an
worty [1.4K]

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT ❌

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

3 0
2 years ago
Your boss hands you the monthly data that show the number of orders coming into and out of the warehouse. The data are in the ta
exis [7]

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

_____

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

<em>Alternate Interpretation</em>

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

8 0
1 year ago
The height h of the equilateral triangle below is given by y= 5 cot theta where theta = 30 degrees
brilliants [131]
To solve this we can take two different approaches:

1. We can substitute theta by 30° and evaluate our expression using a calculator: 
y=5cot( \alpha )
y=5cot(30)
y=8.7

2. We can use the unitary circle and the fact that cot \alpha = \frac{cos( \alpha }{sin( \alpha )}, so we can rewrite our expression as follows:
y=5cot( \alpha )
y=5 \frac{cos( \alpha )}{sin( \alpha )}
y= \frac{cos(30)}{sin(30)}
From our unitary circle we can check that cos(30)= \frac{ \sqrt{3} }{2} and sin(30)= \frac{1}{2}. 
Lets replace those values in our expression and simplify:
y= \frac{ 5(\frac{ \sqrt{3} }{2})}{ \frac{1}{2} }
y=5 \sqrt{3}
y=8.7

Either way we can conclude that the correct answer is: D)8.7

6 0
2 years ago
Brad measured the length of an object as 2.1 * 10^4 cm. Which items might he have measured? Check all that apply.
Airida [17]

Answer with explanation:

Length of an object

                           =2.1\times 10^4\\\\=2.1 \times 10000\\\\=21,000cm

Other unit of measurement are Meter and Kilometer.

→1 Meter = 100 cm

→1 Kilometer= 1,000 meter=100,000 cm

→→21,000 cm = 210 meter = 0.21 Km

Option B:→ length of a city park, is most suitable measurement ,among all other measurement ,that Brad has done.

Second option Might be: Option A→ Length of a city block , may be That Brad has measured.

All other options are Inappropriate, as they require smaller scale or may be larger Scale ,that brad has used to measure

1.≡ Height of a person →→→240 cm (Maximum of 8 feet)

2.  ≡Distance across a city  →→→1 Km or 2 Km or 3 Km...

3.  ≡Height of an apple tree→→→1,000 cm (Maximum)  

4. ≡Width of a screen in a theater→→→2,100 cm (Maximum)

5 ≡depth of water in a swimming pool→→→225 cm

None of the five things described above appears, that brad has measured.

7 0
2 years ago
Read 2 more answers
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