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algol13
3 years ago
8

A pack of pencils, p, costs $1.99. A school buys $129.35 worth of pencils.

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

p=65. the value of p is the amount of pencils packs.

Step-by-step explanation:

1.99p=129.35

129.35/1.99=65

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For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt
wariber [46]

Answer:

The angle is 1560°

Step-by-step explanation:

The length of an arc in radian is given by s=rФ

where s=length of an arc, r=radius and Ф = angle in radians

The question asked us to find the angle

Given to us is; r =6m and s=52π  and Фis what we are to find

From the formula s= rФ

Ф= s/r   =  52πm/6m

Ф=52π/6

Ф=26π/3 radians

But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π

Thus;

Ф=26π/ 3   ×    180°/π

(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be  left with just 26 and 60 at the numerator)

Ф = 26× 60°

Ф=1560°

Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is  1560°

5 0
3 years ago
Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n
Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566

4 0
3 years ago
A triangular pyramid is formed from three right triangles as shown below.
juin [17]

Answer:

70

Step-by-step explanation:

RU=20 (45-45-90 triangle)

use pythagorean theorum

20^2+b^2=73^2

evaluate

b^2=4929

sq root both side

rounded to nearest integer, side SU is 70

8 0
3 years ago
In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the valu
aniked [119]
22 percent
 110000 divided by 22= 5000
110000 - 5000= 105000
6 0
3 years ago
Which are are solutions for x^2 + 5x – 1 > 6
Eddi Din [679]

Answer:

it might be b and d

Step-by-step explanation:

6 0
2 years ago
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