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Dimas [21]
4 years ago
6

When Megan solved this system using the elimination method , she added the equations together and got the equation 4y = 16. Then

she solved that equatio n and got y = 4. Then she substituted 4 in the first equation for y and solved for x. She got x = 4. The point (4, 4) is not the correct solution. Please state in a complete sentence where she made her first mistake. What is the correct solution to the system ? Show your work in the space provided. 2x + 3y = 20 - 2x + y = 4
Mathematics
1 answer:
weqwewe [10]4 years ago
8 0

Answer:

Megan added the equations together but  she subtract 4 instead of addition of 4. The correct solution is (1,6).

Step-by-step explanation:

The given equations are

2x+3y=20        ...(1)

-2x+y=4            .... (2)

Add both equations to eliminate x.

2x+3y-2x+y=20+4

4y=24

Megan make a mistake in this step. She added the equations together but she subtract 4 instead of addition of 4.

Divide both sides by 4.

y=6

Put this value in equation (1).

2x+3(6)=20

2x+18=20

2x=2

Divide both sides by 2.

x=1

Therefore the correct solution is (1,6).

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Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

Interest from lower yielding bank = \dfrac{4}{100} \times 2x=\dfrac{8x}{100}

Interest from higher yielding bank = \dfrac{10}{100} \times x=\dfrac{10x}{100}

Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
3 years ago
A cell phone package charges $39 even if 0 minutes are used during the month. Each additional minute of talk time adds $0.07.
Orlov [11]

Answer: the slope intercept form for this situation is y = 0.07x + 39

Step-by-step explanation:

The cell phone package charges $39 even if 0 minutes are used during the month. This means that the package has a constant charge of $39.

Each additional minute of talk time adds $0.07. Assuming x additional minutes of talk time is made, the total cost of x additional minutes of talk time would be

0.07x + 39

Let y represent the total cost of x additional minutes, then

y = 0.07x + 39

The equation for the slope intercept form is expressed as

y = mx + c

Where

m = slope

c = intercept.

Comparing with our equation,

The slope is 0.07 and the intercept is 39

7 0
3 years ago
How do you write -44.09 as a fraction?
julsineya [31]

Answer:

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4 0
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Sergeu [11.5K]

Answer:

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Step-by-step explanation:

A reflection across the Y axis changes the X value.

If you look at point B and point B prime, the coordinates dont change at all. Which makes this incorrect, I believe.

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3 years ago
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10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.
Margarita [4]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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