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4 years ago

Georgia has $16.38 in her lunch account. How many lunches can she but if each lunch costs $1.95?

2 answers:

8 0

She can buy at least 8 lunches because $16.38 / $1.95 = $8.40

8.40 rounded to 8 because you can't buy a part of a lunch.

babunello [35]4 years ago

6 0

She can buy 「16,38/1,95」= 8 lunches

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I am confused on numbers 25 and 29, the instructions are at the top.

kvasek [131]

#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$\sqrt{12-(-4)} = \sqrt{16} = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
 $\sqrt{12-3} = \sqrt{9} = \frac{+}{}3$
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
$x= \sqrt{2x+3}$
Square both sides to get
$x^{2}=2x+3$
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
$x^{2}-2x-3=0$
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
 $x= \sqrt{2x+3}$
 $3= \sqrt{2(3)+3}$
 $3= \sqrt{9}$
Extraneous root would be negative 3.

 $-1= \sqrt{2(-1)+3}$
 $-1= \sqrt{1}$
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

3 0

3 years ago

Please help. Rachel was playing a game on her computer out of 20 questions she answered 7correctly at this rate how many questio

Dimas [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

Can someone please help me with one or both of these problems, I'm so confused but the assignment is due soon!!

Firlakuza [10]

Answer:

First question: 1270

Second question: 4080

Step-by-step explanation:

Here is the Sum formula:

$S_{n}=\frac{n}{2}(a_{1}+a_{n})$

where n represents the number of terms, and

$a_{1}$ is the first term, and $a_{n}$ is the last term.

Let's look at the first question:

k is the first number of the sequence, 5, and 20 is the last number of the sequence.

You can find the first term ( $a_{1}$ ) by substituting k in the formula for 5.

3(5)+26=15+26=41

You can find the last term ( $a_{n}$ ) by substituting k for 20 into the formula.

3(20)+26=60+26=86

now, knowing there are 20 terms in total, $a_{1} =41$ , and $a_{n} =86$ , we can put it into the Sum formula.

$S_{20}= \frac{20}{2} (41+86)$

$S_{20}= \frac{20}{2} (127)$

$S_{20}= 10 (127)$

$S_{20}= 1270$

Answer to the first question: 1270

Next question:

Even though the given formula uses n as the variable, this problem works the same way as the previous one.

Substitute n in the formula for k, which is 5 to find the first term: 14(5)+29=99

Substitute 20 for n to find the second term: 14(20)+29=309

Now assemble the Sum formula:

$S_{20}= \frac{20}{2} (99+309)$

$S_{20}= \frac{20}{2} (408)$

$S_{20}= 10(408)$

$S_{20}=4080$

Answer to the second question: 4080

5 0

3 years ago

I dont really get it help

Kryger [21]

You put in the number for x. Here are the answers across
6 6 6
18 9 18
30 12 30

3 0

3 years ago

Which of the following equations describes the graph?

Artist 52 [7]

Answer:

y = 1/2x^2 - 2x + 1

Step-by-step explanation:

The equation of the parabola in vertex form is y = 1/2 (x - 2)^2 - 1. By finding the vertex at (2,-1) we plug in the point into the formula y = a(x-h)^2 + k. To convert it to standard form like the equations listed, multiply through the distributive property to clear the parenthesis.

y = 1/2 (x-2)(x-2) - 1

y = 1/2 (x^2 - 4x + 4) - 1

y = 1/2x^2 - 2x + 2 - 1

y = 1/2x^2 - 2x + 1

7 0

4 years ago