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
Andrej [43]
3 years ago
10

Claire completed the steps to solve the system of equations.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

Answer: D

Step-by-step explanation:

8_murik_8 [283]3 years ago
5 0

Option D:

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Solution:

The system of equations are

4x – 2y = 4 – – – – (1)

3x + 3y = 21 – – – – (2)

Step 1: Multiply the equation (1) by 3 and equation (2) by 2

12x – 6y = 12

6x + 6y = 42

Step 2: Add the above equations.

\begin{aligned}&12 x-6 y=12\\&6 x \ +\ 6 y\ =42\\&-------\\&18x\ \ =\ 54\end{aligned}

⇒ 18x = 54

Step 3: Divide both sides of the equation by 18.

⇒ x = 3

Step 4: Substitute x = 3 in equation (1)

4(3) – 2y = 4

⇒ 12 – 2y = 4

Subtract 12 from both sides of the equation.

⇒ –2y = –8

Divide by –2 on both sides of the equation.

⇒ y = 4

Step 5: The solution is (3, 4).

But Claire's solution is (3, –4).

Claire's solution is not correct in step 4.

Option D is the correct answer.

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

You might be interested in
Which construction is being shown in the diagram?
11Alexandr11 [23.1K]

Answer:

Correct answer is option <em>D)</em> Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line <em>BD</em> is called the angle bisector of \angle ABC if

\angle ABD = \angle CBD

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of \angle QPR.

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between \angle QPR.

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of \angle QPR.

So, Correct answer is option <em>D)</em> Construct the bisector of an angle.

6 0
3 years ago
The number doing the dividing in a division problem
Pavlova-9 [17]

Answer:

divisor

Step-by-step explanation:

I just looked it up bro lol

6 0
3 years ago
Read 2 more answers
Pringles is planning their sales force spending for the next year. Each of their sales people spends about 3400 hours annually a
LUCKY_DIMON [66]

Answer:

459 sales people.

Step-by-step explanation

Time per call (t) = 45 min = 0.75 h

Hours per sales person (H) = 3,400 hours

Number of customers (n) = 40,000 customers

Call frequency (f)= 52 calls per year

The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:

S=\frac{40,000*0.75*52}{3,400}\\ S=458.8

Rounding up to the next whole person, Pringles needs 459 sales people.

3 0
3 years ago
Read 2 more answers
The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of
ivanzaharov [21]
<h2>Answer:</h2>

R_2  is 3 ohms

<h2>Step-by-step explanation:</h2>

In a circuit containing two resistors R_1 and R_2 connected together in parallel, the total resistance R_T is given by;

\frac{1}{R_T} = \frac{1}{R_1}  + \frac{1}{R_2}              ---------(i)

<em>Make </em>R_2<em> subject of the formula;</em>

=> \frac{1}{R_2} = \frac{1}{R_T}  - \frac{1}{R_1}  

=> \frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}

=>   {R_2} = \frac{R_TR_1}{R_1 - R_T}       ---------------(ii)

From the question,

R_1 = 6Ω

R_T = 2Ω

Substitute these values into equation (ii) as follows;

=> {R_2} = \frac{2*6}{6 - 2}

{R_2} = \frac{12}{4}

R_2 = 3Ω

Therefore, the value of R_2 = 3 ohms or R_2 = 3Ω

3 0
3 years ago
Circle D circumscribes ABC and ABE. Which statements about the triangles are true?
OleMash [197]
<span>Circle D circumscribes ABC and ABE, The statements that best describe the triangles are: 
</span><span>Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE.
Statement II: The distance from C to D is the same as the distance from D to E. Hence, each of them (CD and DE) is a radius of the given circle.
So, the answer is the second option, I and II.

</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110.
    6·1 answer
  • when the colony reaches 1385 ants, ivors ant farm will not be big enough for all of them . in how many weeks will the ant popula
    8·1 answer
  • Find the m ∠YXZ. Show your Work
    9·1 answer
  • Sue played four games of golf.
    15·2 answers
  • Identify which type of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine customer opini
    5·1 answer
  • Sharon's middle school track team consists of 36 dedicated runners. To build her track program for next year, Sharon wishes to i
    8·1 answer
  • What is the value of -(-9)?<br> Explain your reasoning.
    13·2 answers
  • I just need these 4, they should be super easy!! I really need help
    12·1 answer
  • Solve the equation –15 + 10y = 25 for y.
    9·1 answer
  • Solve the equation by the elimination method..!!<br>1. 3x+ 4y= 10 &amp; 2x- 2y = 2​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!