All categories

3 years ago

18x + 3° ( 10x - 27) Find the measure of each indicated angle

Mathematics

1 answer:

Natali [406]3 years ago

7 0

Answer:

48x-81

Step-by-step explanation:

18x+3(10x-27)

Then distribute

18x+30x-81

Combine like terms

Final Answer: 48x-81

You might be interested in

The distance between Anubhav’s school and his house is 45 km. He started from his house for school at 7:00 am and covered 30 km

8_murik_8 [283]

Answer:

45 km/h

Step-by-step explanation:

In the first part of the trip, he already covered 30 km so we can subtract that from the total distance

45 - 30 = 15

This means he has 15 km to go

He also took an hour, or 60 minutes, to get to school. We subtract the time spent of the first part and time spent talking to a friend from the 60 minutes

60 - 35 = 25

25 - 5 = 20

He took 20 minutes to cover the second part of the journey

Speed = distance/time

15/20 = 0.75

He covered 0.75 km per MINUTE

to find it in km/h, we just multiply the number by 60

0.75 x 60 = 45

6 0

3 years ago

Read 2 more answers

How does place value help you add decimal

gladu [14]

You line up the decimal points so that similar place values are lined up. it will be easier to add them.

3 0

3 years ago

Read 2 more answers

The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0

3 years ago

An animal shelter spends $3.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shel

Ede4ka [16]

Answer:

There were 15 cats at the shelter on Friday.

Step-by-step explanation:

Cost of caring each cat = $3.00

Cost for caring each dog = $6.50

Total money spent by shelter = $84.00

Total Cats and Dogs in the shelter = 21

Let the number of cats in the shelter = k

So, the number of dogs in shelter = 21 -k

Also according to the question:

Total expenditure on cats + total expenditure on dogs = $84.00

or, k ($3.00) + (21-k)($6.50) = $84.00

or, 3k + 136.5 - 6.5 k = 84

or, -3.5 k = 84 - 136.5 = -52.5

⇒3.5 k = 52.5 or k = 52.5/3.5 = 15

⇒ k = 15

Hence, the number of cats in the shelter was 15 on Friday.

7 0

3 years ago

Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

Charra [1.4K]

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

$Volume = (4/3) * \pi * radius^3$

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

$Volume = (4/3) * \pi * 7^3$

$Volume = 1436.75\ in^3$

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

$Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes$

Tyler should buy 2 goldfishes for his fish tank,

3 0

3 years ago

Read 2 more answers