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
Alex777 [14]
3 years ago
12

How many solutions are there to the system of equations? {-4x - 5y = 5 -0.08x + 0.10y = 0.10} A) no solutions B)one solution C)t

wo solutions D)an infinite number of solutions
Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

<h2>B) one solution</h2>

Step-by-step explanation:

Given the system of equations -4x - 5y = 5  and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.

-4x - 5y = 5... 1

-0.08x + 0.10y = 0.10... 2

Multiplying equation 2 by 100 will give -8x+10y = 10

The resulting system of equation will be;

-4x - 5y = 5 ...3 * 8

-8x + 10y = 10... 4 * 4

Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;

-32x-40y = 40

-32x+40y = 40

Subtracting both resulting equations to eliminate x will give;

-40y-40y = 0

-80y = 0

y = 0

Substituting y = 0 into equation 3 to get x we have;

-4x-5(0) = 5

-4x = 5

x = -5/4

The solution to the system of equations is (0, -5/4). This shows that the system of equations only <u>has one solution</u>

You might be interested in
Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?
Keith_Richards [23]

Answer:

They are equal

Step-by-step explanation:

320 oz is 20 pounds:))

7 0
2 years ago
Does the inequality sing mean equals in an equasion
shtirl [24]
Here are the 4 inequality signs.

a < b     ---> a is less than b
a \le b    ---> a is less than or equal to b
a > b     ---> a is greater than b
a \ge b    ---> a is greater than or equal to b

For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.

6 0
3 years ago
What is the definition of a change in position or size?
Troyanec [42]
Transformation.. If you're referring to geometry  
7 0
3 years ago
Solve -2(2x+5) -3(x-1)
OLEGan [10]
<h2>Hello!</h2>

The answer is:

-2(2x+5)-3(x-1)=-7x-7\\

<h2>Why?</h2>

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

a(b+c)=ab+ac

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

3x+5x+x^{2}=8x+x^{2}

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

-2(2x+5)-3(x-1)

Then, solving we have:

-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7

Hence, we have that the answer is:

-2(2x+5)-3(x-1)=-7x-7\\

Have a nice day!

8 0
3 years ago
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started wit
fomenos

Answer:

Approximately 2 months

Step-by-step explanation:

Tricia: f(d) = 5.15m + 10.25

Melanie: f(d) = 10.25m

f(d) is the total savings altogether

m is the amount of months

5.15(2) + 10.25 = 20.55

10.25(2) = 20.50

They will have the same amount of savings in approximately 2 months

1.990291 is the actual time (in months) they will be the same

4 0
3 years ago
Read 2 more answers
Other questions:
  • What price does the price tag say in the window?
    13·1 answer
  • 4 Sam was asked to place the numbers shown below in order from least to greatest.
    9·1 answer
  • What is the answer 2y 5x=6
    10·1 answer
  • What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?
    5·1 answer
  • The Nike store received a new shipment of shoes. Before they place them in the store to sale, they must mark up the price by 45%
    15·1 answer
  • Light travels at a rate of about 9,460,528,400,000,000 m per year. approximately how many meters does light travel per second? c
    11·1 answer
  • P(4)+5&gt;-32<br> Thank you ;)
    8·1 answer
  • HELPPP Paul is making two ceramic plates in his pottery class. One plate has a 20-centimeter diameter and a 62.8-centimeter circ
    6·1 answer
  • Do the questions that are circled also GCF stands for greatest common factor
    12·2 answers
  • Work out this question pls
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!