Find the measure of angle 4 and explain.

Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game

Anarel [89]

A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50

6 0

2 years ago

Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

Mashutka [201]

Annotation
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

7 0

3 years ago

If a+1/a = 5, find the value of a² +1/a²

Orlov [11]

a - 1/a =5

take squaring both side

(a - 1/a )^2 = (5)^2

a^2 +1/a^2 -2.a.1/a =25

a^2+1/a^2 -2 =25

a^2+1/a^2 =27 (answer)

6 0

2 years ago

Read 2 more answers

A monk crossbred plants which can have purple or white flowers and obtained 511 plants with white flowers and 337 plants with pu

Zepler [3.9K]

Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

4 0

2 years ago

What is the value of x? Round to the nearest tenths place. 15 ft 20 ft X

marshall27 [118]

Answer:

300f²t²

Step-by-step explanation:

I hope this helps

6 0

2 years ago