One angle of the triangle is 4 times the second angle. The third angle of the triangle is 30 degrees more than the second angle.find the measures of all the angles.

Answers

Answer 1

Answer: X+4x+x+30=180
6x=150
X=25

So angles are 25, 100, 55 degrees

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victoria invited 260 people to her quinceanera party. 76 guest rode in corvettes and the rest rode in 23 suburbans. how many guest rode in each suburban

Answers

Answer:

8 guest rode in each suburban .

Step-by-step explanation:

As given

victoria invited 260 people to her quinceanera party.

76 guest rode in corvettes and the rest rode in 23 suburbans.

As 76 guest rode in corvettes .

Thus

Number of guest rode in suburbans = 260 - 76

= 184 peoples

Let us assume that the number of guest rode in each suburban be x.

Total suburbans are 23.

Than the equation becomes

x × 23 = 184

$x = (184)/(23)$

x = 8

Therefore 8 guest rode in each suburban .

Seven times the sum of a number and 2 is equal to 9

Answers

Let x = a number

7(x + 2) = 9

Then we solve for x. First, distribute:

7x + 14 = 9

Subtract 14 from both sides:

7x = -5

Divide by 7 on both sides:

$x= (-5)/(7)$

The number is then -5/7.

a community bike ride offers a short 5.7 mile ride for children and families. the short ride is followed by a long ride, 5 2/3 times as long as the short ride, for adults. if a woman bikes the short ride with her children, and then the long ride with friends. how many miles does she ride together?

Answers

38 miles

Further explanation

Given:

A community bike ride offers a short 5.7-mile ride for children and families.

The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.

A woman bikes the short ride with her children, and then the long ride with friends.

Question:

How many miles does she ride together?

The Process:

Let us make a pattern for the short ride:

$\boxed{5.7} \rightarrow in \ miles$

Let us do a multiplication on a fraction at first.

$\boxed{ \ = (2)/(3) * 5.7 \ }$

$\boxed{ \ = (2)/(3) * 5(7)/(10) \ }$

$\boxed{ \ = (2)/(3) * (57)/(10) \ }$

We crossed out 3 and 57.

$\boxed{ \ = 2 * (19)/(10) \ }$

$\boxed{\boxed{ \ = 3.8 \ }}$

Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:

$\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles$

A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.

The short ride: $\boxed{5.7 \ miles}$
The long ride: $\boxed{(5.7 * 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}$

$\boxed{ \ 5.7 + 32.3 = 38}$

Thus, she rides 38 miles together.

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Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together

First multiply 5.7 by 5 2/3 to figure out how long the adult ride is: 5.7/1 X 17/3= 32.3. Then add the adult ride and the children's ride together: 5.7+32.3=38 (7+3=10 which adds 1 to the whole number). The mom would ride 38 miles :)

Ms. Russell has 24 students in her class. 3/8 of the class went out for recess. 1/4 went to the library. The rest stayed in the classroom.a. What fraction of the class was out of the classroom?
I know this answer is 5/8
b. How many students is that?

Answers

Well, the total that went out is $(3)/(8)+(1)/(4)=(3+2)/(8)=(5)/(8)$
That is, $(5)/(8)*24=15$

Answer:

1738 hey

Step-by-step explanation:

How to solve question 59

I NEED HELP

Answers

Answer: (a) 0.87x

(b) 0.87x = 174

(c) 200 players

Step-by-step explanation:

$\n$ Let x be the total number of players who signed up for the season,

$\n$ since 13% dropped , it implies that 13% of x dropped out , which means 0.13x dropped out.

$\n$ To know the players who finished the league , it implies

$\n$ x - 0.13x = 0.87x

$\n$ This means that 0.87x finished the league

$\n$ (a) The expression for the number of players who finished the season will therefore be 0.87x , this is as a result of subtracting those that dropped out (0.13x) from those that signed up ( x)

$\n$ (b) The equation to represent the number of players who signed up for the soccer will thus be:

$\n$ $\n$ x - 0.13x = 174 , since it was given that 174 finished the league, this implies

$\n$ 0.87x = 174

$\n$ (c) Solving the equation, we have

$\n$ 0.87x = 174

$\n$ 0,87x / 0.87 = 174 / 0.87

$\n$ x = 200

$\n$ Therefore 200 players signed up for the league

Step-by-step explanation:

a. 87% finished the season because 13% dropped

b. 100×174 = 87x

c. 17400 = 87x ➡ x = 17400 ÷ 87 ➡ x = 200 player signed up for the soccer league.

Use absolute value to express the distance between 10 and -4

Answers

Absolute value does not include direction, therefore, does not have a negative sign. Always positive.

The distance between 10 and -4 is 14.

I showed why in the attachment below.

So, since we do not include the sign, your final answer is 14.

Final answer: 14

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