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
Lelechka [254]
3 years ago
9

Solve the simultaneous equations 4x3y=32 4x-y=16

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Step-by-step explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

// Plug this in for variable y in equation [1]

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}

You might be interested in
Determine whether the question
KiRa [710]
"<span>How much did your classmates typically spend on music downloads last year?" is a statistical question, and the units would </span>be both the number of students and how many downloads each individual bought.
4 0
3 years ago
Lowest common multiple of of 3,5,6
pogonyaev

Answer:

30

hope it helps........

4 0
3 years ago
Read 2 more answers
An object is launched from a platform. Its height (in meters), xxx seconds after the launch, is modeled by: h(x)=-5x^2+20x+60h(x
EastWind [94]
It takes 6 seconds for it to hit the ground.

0 = -5x²+20x+60

We can solve this by factoring.  First factor out the GCF, -5:

0 = -5(x²-4x-12)

Now we want factors of -12 that sum to -4.  -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)

Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2.  Since we cannot have negative time, x=6.
3 0
4 years ago
Read 2 more answers
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
Soloha48 [4]

Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

Pr(M4) = \frac{1}{4}

The sample size of PENNSYLVANIA is:

n(S) = 12

The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

P(M4\ n\ V) = P(M4) * P(V)

P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}

P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

4 0
3 years ago
Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,
creativ13 [48]
The dimensions would be 29 by 29.

To maximize area and minimize perimeter, we make the dimensions as close to equilateral as possible.  

Dividing the perimeter by the number of sides, we have

116/4 = 29

This means that both length and width can be 29.
5 0
4 years ago
Other questions:
  • In his free time, Gary spends 11 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour
    12·1 answer
  • Can I get help on 1-8 please
    7·1 answer
  • What is the diameter of a circle that has a circumference of 56.52 feet? Round your answere to the nearest whole number
    11·1 answer
  • 2. Solve the following problems involving simple interest. Recall
    8·1 answer
  • Use the following net to find the surface area of the solid figure
    11·2 answers
  • Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
    11·2 answers
  • Put these fractions in order from least to greatest. <br><br>2/3<br>6/8<br>1/5​
    12·1 answer
  • if the marked price of a watch is 25 % above the cost price. by what percentage the cost price is less than the marked price​
    15·1 answer
  • Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
    12·2 answers
  • Carol buys a house for £234 900
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!