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
sergejj [24]
3 years ago
5

7x-2y=16 11x+6y=32.3how to solve this math problem​

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

7x-2y=16

Equation 2

11x+6y=32.3

Lets take equation 1

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

This is our equation 3 , now put it inside equation 2.

11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\

We found the value of y , now to find the value of x insert the value of y in equation 3

x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

You might be interested in
Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of
Anastaziya [24]

Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

1) The bread is rich in multi-grains.

We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.

7 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the
Margarita [4]

Answer:

880 high-quality version

Step-by-step explanation:

I think the below is your full question:

<em>A Web music store offers two versions of a popular song. The size of the standard version is 2.1megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4821 MB. How many downloads of the high-quality version were there?</em>

Here is my answer:

Let x is the number of high-quality version

So the number of standard version= 1290 - x

We also know:  total download size of 4821 MB. which means:

4.5x + 2.1(1290-x) = 4821

<=> 4.5x+2709-2.1x=4821

<=> 2.4x=2112

<=> x=880

So there were 880 high-quality version

5 0
3 years ago
Read 2 more answers
Dominic had $500 in his wallet. He went to the nursery and purchased 8 rose bushes at $22 each, 12 evergreen shrubs at $18 each,
timurjin [86]

Answer:

176+216+75=467

500-467=33

so 33 is the answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve -x &gt; 8 or -x &lt; 4.
nevsk [136]

Answer:

x<−8 or x>−4

Step-by-step explanation:

−x>8 or −x<4

We know either −x>8 or −x<4

−x>8(Possibility 1)

−x

−1

>

8

−1

(Divide both sides by -1)

x<−8

−x<4(Possibility 2)

−x

−1

<

4

−1

(Divide both sides by -1)

x>−4

5 0
3 years ago
Pls help!!!<br>what would the answer be when it is in standard form.​
Nimfa-mama [501]
The answer in standard form is 0.297
6 0
3 years ago
Other questions:
  • How do you answer these questions
    14·2 answers
  • Tina has 1/2 of a pan of cornbread left from a dinner party she eats 1/2 of the leftover part the next night how much of the who
    5·2 answers
  • Is there a relationship between area or perimeter of a rectangle
    12·1 answer
  • HELP PLS ITS DUE IN AN HOUR
    15·2 answers
  • The sports shop has 9 part-time employees and 21 full-time employees. What percentage of the employees at the sports shop work p
    10·1 answer
  • Please Help on Math question...
    15·1 answer
  • What is the slope of the line that passes through (2,5) and (3,6).
    14·2 answers
  • Help, Im In Math Class Rn
    15·2 answers
  • Part A
    7·1 answer
  • Higher Order Thinking Ten fewer locks
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!