1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
3 years ago
9

Tracy saved her babysitting earnings for a month to buy some souvenirs while on vacation. She promised her three best friends a

gift from her trip. At the airport, Tracy spent one-third of her babysitting money to buy a beautiful t-shirt for Georgianna. On her second day, she used her babysitting funds to buy a hat for Chepina for $12. On the last day, Tracy wanted to buy a $20 bracelet for her grandma. It cost $4 more than she had remaining of her babysitting funds, so she had to borrow the $4 from her parents. How much babysitting money did Tracy bring to buy souvenirs while on vacation? What equation?
Mathematics
2 answers:
allochka39001 [22]3 years ago
5 0

The babysitting earnings is an illustration of a linear equation

The total babysitting earnings is $42

<h3>How to determine the babysitting earnings</h3>

Represent the earnings with x.

  • One third of the earning would be 1/3x
  • The hat costs $12

The remaining amount would be:

x - 1/3x - 12

The remaining amount is $4 less than $20.

So, we have:

x - \frac 13x - 12 + 4 = 20

Collect like terms

x - \frac 13x = 12 - 4 + 20

x - \frac 13x = 28

Multiply through by 3

3x - x = 84

Simplify

2x = 84

Divide through by 2

x = 42

Hence, the total babysitting earnings is $42

Read more about linear equations at:

brainly.com/question/14323743

andre [41]3 years ago
4 0

Answer:

  • $42
  • b +4 = b/3 +12 +20

Step-by-step explanation:

We can let b represent the amount of babysitting earnings Tracy had to spend. Her spending for the first gift was (1/3)b. Since she augmented her earnings with $4 she borrowed, the total amount she spent on gifts was ...

  b +4 = b/3 +12 +20 . . . . the equation for Tracy's purchases

  2/3b = 28 . . . . . . . . . . subtract (4+b/3) from both sides

  b = (3/2)(28) . . . . multiply by the inverse of the b coefficient

  b = 42 . . . . the amount Tracy brought for souvenirs

Tracy brought $42 in babysitting money to buy souvenirs.

You might be interested in
3x+17 less than or equal to 2(1-x)​
MrRa [10]

Answer:

x ≤ -5

Step-by-step explanation:

According to given condition:

3x + 17 ≤ 2(1 - x)

By simplifying:

3x + 17 ≤ 2 - 2x

Adding 2x - 17 on both sides we get:

3x + 2x ≤ 2 - 17

5x ≤ - 15

Dividing both sides by 5 we get:

x ≤ -5

i hope it will help you!

5 0
3 years ago
Let u = (1,2), v = (−3,4), and w = (5,0)
sergij07 [2.7K]

Answer:

w-2u-v

Step-by-step explanation:

Given are three vectors u, v and w.

In R^2 we treat first element as x coordinate and 2nd element as y coordinate.

Thus we mark (1,2) in the I quadrant, (-3,4) in II quadrant and (5,0) on positive x axis 5 units form the origin.

b) w=au+bv

We have to find the values of a and b

(5,0) = a(1,2)+b(-3,4)]

Equate the corresponding terms

5=a-3b\\0=2a+4b

Divide II equation by 2 to get

0=a+2b

Eliminate a

-5 = 5b: b=-1

a=-2

Hence

w = 2u-v

7 0
3 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
2−2s=4/3 s+13 how do you do this
soldi70 [24.7K]

Answer: s = -3.3

<u>Step-by-step explanation:</u>

2-2s=\dfrac{4}{3}s+13\\\\\\\underline{\text{Multiply everything by 3 to clear the denominator:}}\\(3)2-(3)2s=(3)\dfrac{4}{3}s+(3)13\\\\.\qquad 6-6s=4s+39\\\\\\\underline{\text{Add 6s to both sides:}}\\.\qquad 6-6s+6s=4s+6s+39\\\\.\qquad \qquad \qquad 6=10s+39\\\\\\\underline{\text{Subtract 39 from both sides:}}\\.\qquad \qquad 6-39=10s+39-39\\\\.\qquad \quad \quad -33=10s\\\\\\\underline{\text{Divide both sides by 10:}}\\.\qquad \quad \quad \dfrac{-33}{10}=\dfrac{10s}{10}

                -3.3 = s

3 0
3 years ago
Resuelve el siguiente ejercicio de velocidad. El vector de posición de un móvil es r (t) =2 (t −7) i +12t j, en intervalos de ti
krek1111 [17]

To Find :

Position vector at time t_1  = 5\ s and t_2 = 8\ s.

Solution :

r (t) = 2 (t −7)i + 12t j

Putting t = 5 s and t = 8 s, we get :

r(5) = 2( -2 )i + 60j

r(5) = -4i + 60j

r(8) = 2i + 96j

Now, to find speed differentiating the r(t) w.r.t t :

v=\dfrac{dr}{dt}= \dfrac{d(2(t-7)i + 12tj)}{dt}\\\\v=\dfrac{dr}{dt}= 2i + 12j

Hence, this is the required solution.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer fast I need this a lot
    11·1 answer
  • -2x+y=3 -x+2y=3 system of equations
    13·1 answer
  • If Charlie had 100 million followers and lost 15 million for v****g how much follower does she have now
    15·1 answer
  • The height of a mountain is 26,400 feet. What is the height of the mountain in miles?
    12·2 answers
  • What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units? (5 points)
    7·2 answers
  • If x = 3.5, y = -2x + 4, what is y?
    7·1 answer
  • Which of the following is true about the expression v3 • V12?
    7·2 answers
  • The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches unde
    14·1 answer
  • Look at the picture for the question 10 points will mark brainilest
    9·2 answers
  • Help w y math shawtys
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!