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vichka [17]
2 years ago
10

For questions 8-10, simplify the expression. 8.

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
3 0
8. 5 root 3 (b)
9. a, 14 root 6
Just add the numbers in front! Find the prime factorization and take out multiples inside a square root to simplify it
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Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their
algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

   distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

 in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

4 0
3 years ago
If four out of ten people vote than a town with two hundred thousand people how many will vote
oksano4ka [1.4K]

Answer:

80,000 people will vote. I'm pretty sure

Step-by-step explanation:

You first divided 200,000 by 10 then multiply it by 4 and you get 80,000. You're welcome, if its right.

3 0
3 years ago
Read 2 more answers
Pam and Meg each have a picture frame. Pam’s picture frame is a square with an area of 3 square feet. Meg’s picture frame is a c
kondaur [170]

Answer:

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft

Step-by-step explanation:

Pam's picture frame : Square with area of 3 sq. foot

Meg’s picture frame is a circle with a radius, r of 1 foot.

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.

Let's calculate circumference of Meg's picture frame:

Circumference c, = 2πr

r = 1 ft

c = 2 * 3.14 *1 = 6.28 ft


Now calculate Perimeter of Pam's picture frame:

A is area of square and s is the side

A = s²

s² = 3

s = √3

Permeter of square = 4s

= 4√3 = 6.93ft

Now in order to find  circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.

Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65


8 0
2 years ago
What is x? x/3 +10=15<br> A.15 B.-8
Charra [1.4K]
X is 15because 15-10=5
x= 3*5
x=15
6 0
3 years ago
Read 2 more answers
PLS HELP ME ;;;-;;;
Mandarinka [93]

Answer:

X=11

Step-by-step explanation:

9x+6= (3x+2)+(70)

Simplify: 6x+6=72

6x+6=72

6x=66

x=11

5 0
3 years ago
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