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
dybincka [34]
3 years ago
5

Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles

Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

  • Bottle of water = $2
  • Bottle of grape juice = $1.50

Step-by-step explanation:

  • Grape juice = g
  • Water = w

<u>Equations:</u>

  • 3g + 5w = 14.50
  • 2g + 3w = 9.00

<u>Subtract the 3 times the second equation from the twice the first:</u>

  • 2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.00
  • 6g + 10w - 6g - 9w = 29 - 27
  • w = 2

<u>Then, finding g:</u>

  • 3g  + 2*5= 14.50
  • 3g = 14.50 - 10
  • 3g = 4.5
  • g = 1.50
You might be interested in
A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time
user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

a(t) = 24t + 2

Velocity:

v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

v(t) = 12t^{2} + 2t + 13

Position:

s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K

Since s(0) = 3

s(t) = 4t^{3} + t^{2} + 13t + 3

What is its position at time t=5?

This is s(5).

s(t) = 4t^{3} + t^{2} + 13t + 3

s(5) = 4*5^{3} + 5^{2} + 13*5 + 3

s(5) = 593

It's position at time t = 5 is 593.

3 0
3 years ago
Which must be true? Select all that apply.
Fittoniya [83]

Answer:

A, B, E

Step-by-step explanation:

6 0
3 years ago
(25+3) - 7 x 3 + (2x4)
arlik [135]

Answer:

It is not correct, the answer is 15

Step-by-step explanation:

They forgot the rule of PEMDAS, and accidentally subtracted before they multiplied. It should've gone

(25+3) - 7 x 3 + (2x4)

28-7x3+8

28-21+8

Since it's minus 21, that means it's negative, so -21+8=13

28-13=15

4 0
3 years ago
Math work pls help :)​
solong [7]

Answer:

the theorum used here is sas one

8 0
3 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
Other questions:
  • What is bigger three fourths or two thirds
    14·2 answers
  • add at the park there's a pool shaped like a circle with a diameter 22 yards. A ring shaped path goes around the pool. it's widt
    11·2 answers
  • On Monday, Rachel bought company stock at a price of $39.60 per share. On Tuesday, the share price changed by -$2.35. On Wednesd
    9·2 answers
  • Andy buys a 75 cent juice box using only quarters and nickels. show the amount he spent in two ways.
    10·1 answer
  • Please help me! I will give brainliest to first and correct answer!
    12·2 answers
  • What is the value of the expression
    8·2 answers
  • Find the value of X <br> 7/x-10 = 3/6
    15·2 answers
  • Who could help me please and thank you
    10·1 answer
  • What do I do I don’t know the answer
    7·1 answer
  • A holiday meal cost $12.50 a person plus a delivery fee of 30$. Which equation is right?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!