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
Flauer [41]
2 years ago
14

Use elimination to solve each system.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0

Answer:

$3 and $2

Step-by-step explanation:

let p represent popcorn and d drinks , then

2p + 3d = 12 → (1)

3p + 5d = 19 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate p

6p + 9d = 36 → (3)

- 6p - 10d = - 38 → (4)

add (3) and (4) term by term to eliminate p

0 - d = - 2

- d = - 2 ( multiply both sides by - 1 )

d = 2

substitute d = 2 into either of the 2 equations and solve for p

substituting into (1)

2p + 3(2) = 12

2p + 6 = 12 ( subtract 6 from both sides )

2p = 6 ( divide both sides by 2 )

p = 3

Popcorn costs $3 and a drink costs $2

You might be interested in
Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
You graph the function f(x)=-|×|-12
Firlakuza [10]

Answer:

See attachment

Step-by-step explanation:

We want to graph f(x)=|x|-12 on the interval -10 to 10.

Let g(x)=|x| be the parent absolute value function.

We can easily graph f(x)=|x|-12, if we use translation.

When the parent function is shifted downwards by 12 units, we obtain the graph of f(x)=|x|-12.

The parent function is a v-shaped graph with vertex at the origin.

We shift the parent function down so that its vertex is now at (0,-12) to get the graph of f(x)=|x|-12 .

See attachment for the graph of f(x)=|x|-12  on the specified interval.

7 0
3 years ago
Read 2 more answers
Simplify 4xy + 9x - 3y + z + xy
Contact [7]
4xy + 9x - 3y + z + xy

 Combine Like Terms<span>
 =<span><span><span><span><span><span>4x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span>+<span>xy</span></span></span><span>
   =<span><span><span><span>(<span><span><span>4x</span>y</span>+<span>xy</span></span>)</span>+<span>(<span>9x</span>)</span></span>+<span>(<span>−<span>3y</span></span>)</span></span>+<span>(z)</span></span></span><span>
   =<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span></span>

Answer <span>=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>−<span>3y</span></span>+<span>z


I hope this helps, can I get brainliest thanks</span></span></span>
6 0
3 years ago
Read 2 more answers
2995 divided by 27 but estimated
Vinil7 [7]

Answer: 110

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The strip below is cut into 9 equal bars.<br> Shade 2/3 of this strip.
Anna35 [415]

Answer:

Shade 6 bars.

Step-by-step explanation:

You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:

9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3}   = \frac{18}{3} = 6

You will shade 6 of the 9 bars given.

~

5 0
2 years ago
Other questions:
  • A principal wants to know if their students are in favour of the new dress code. Would she take a sample from:
    5·1 answer
  • What is the slope of y= 6x+2
    15·2 answers
  • X^2+13x-30 find the vertex
    14·1 answer
  • What number should be added to 942 to get a sum of 9882?<br>Answer​
    6·2 answers
  • State that dgree of the term -6x²y​
    15·1 answer
  • Solve this please. Tell me an accurate answer for this word problem?
    6·2 answers
  • Plz help me with this :(
    5·1 answer
  • Find the Range of the following set of data. (Round to the
    6·1 answer
  • I need some help solving this equation T^T<br><br> 5x(-y)+2=-3
    6·1 answer
  • Hhdhdhesjjekekwjiwowowowiwi
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!