ALGEBRAIC EXPRESSIONS AND EQUATIONS

A sampling of hemlock trees revealed that 7 out of 190 trees are infected with insects. About how many of the 950 hemlock trees

nignag [31]

Answer:

About 35 trees in a state park are infected with insects

Step-by-step explanation:

we know that

7 out of 190 trees are infected with insects

so

using proportion

Find out about how many of the 950 hemlock trees in a state park are infected with insects

$\frac{190}{7}=\frac{950}{x} \\\\x=7(950)/190\\\\x= 35$

therefore

About 35 trees in a state park are infected with insects

3 0

3 years ago

Find the area of the

Alex73 [517]

162 m^2

you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)

and s^2=162

5 0

3 years ago

The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was

ASHA 777 [7]

Answer:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c _______(3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

4 0

3 years ago

The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of \piπ.

lianna [129]

Answer:

90.25π

Step-by-step explanation:

The circumference of circle is 2πr, or in other words the diameter times π.

The area of a circle is πr^2.

19π is the circumference of this circle.

So, 19 is the diameter, and 9.5 the radius.

The area if (9.5^2)π.

9.5^2=90.25

So, in terms of π, the area of the circle is 90.25π.

7 0

3 years ago

Chandler, Jamal, Allison, and Qi are given the following problem. In 1982, Wayne Gretsky set a record for the greatest number of

Pavel [41]

Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

6 0

2 years ago