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fiasKO [112]
3 years ago
15

8x + 6y = 10 5x - 3y = 2.2 Which statement about the system of equations is true?

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0
The answer would be C. When you isolate X you get 4/5 turn that into a decimal you have 0.8. Then you isolate Y you get 3/5 Turn that into a decimal and you get 0.6. Therefore the solution has 1 answer.

Hope this helps
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3/4 of $530.40 show work
Minchanka [31]
Multiply $530.40 by 3/4. You get the equation 
\frac{530.40 * 3}{4}
If you simplify this, you get the solution of $397.80

$397.80
4 0
3 years ago
box is filled with six yellow cards six red cards and three blue cards a card is chosen at random from the bag what is the proba
alexgriva [62]

Answer:

There is a 9/15 or 3/5

Step-by-step explanation:

There are a total of 15 cards, of those, 6 are red, so if you subtract 6 from 15, you get 9, which is the total amount of yellow and blue cards, which is what you were to not get a red card.

3 0
3 years ago
Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest
Stella [2.4K]

Given the word problem, we can deduce the following information:

Principal amount = $4739

Future amount = $5336

Interest = 5.1 % =0.051

To determine the time to accumulate the $5336, we use the compound interest formula:

A=P(1+\frac{r}{n})^{nt}

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}

Therefore, the answer is 2.33 years.

5 0
1 year ago
The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the
Paraphin [41]

Given:

Consider the vertices of the triangle are (4,4) (6,7) and (8,0).

The triangle is dilated by a scale factor of 3.

To find:

The vertices of the new triangle after dilation.

Solution:

If a figure is dilated by scale factor k with origin as the center of dilation, then the rule of dilation is:

(x,y)\to (kx,ky)

The given figure is dilated by scale factor 3 with origin as the center of dilation, then the rule of dilation is:

(x,y)\to (3x,3y)

Let the vertices of the triangle are A(4,4), B(6,7) and C(8,0).

Using this rule of dilation, we get

A(4,4)\to A'(3(4),3(4))

A(4,4)\to A'(12,12)

Similarly,

B(6,7)\to B'(3(6),3(7))

B(6,7)\to B'(18,21)

And,

C(8,0)\to C'(3(8),3(0))

C(8,0)\to C'(24,0)

The vertices of the new triangle are (12,12), (18,21), (24,0).

Therefore, the correct option is 4.

7 0
3 years ago
¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
brilliants [131]

Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

6 0
3 years ago
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