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3 years ago

Solve for x: 5x+3y=22 y=2x

2 answers:

8 0

5x + 3y = 22
y = 2x

Substitute y=2x into the first equation

5x + 3(2x) = 22
5x + 6x = 22
11x = 22
x = 2

Hope that helps :)

Kay [80]3 years ago

8 0

$\text{We have the ecuation:} \ 5x+3y=22 \\ \text{We know:}\ y=2x \\***********************\\5x+3*(2x)=22 \\ 5x+6x=22\\11x=22\\ \boxed{\bold{x=2}} \\\\ \boxed{\text{The answer is : x=2}} \\\\ \boxed{y=2*2=4}$

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yanalaym [24]

Answer:

450 simple

Step-by-step explanation:

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2 years ago

Using Unit Rates to compare Ratios continued

nasty-shy [4]

Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball $75$ times for $550$ yards, and Pete has $42$ carries for $380$ yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon $=550\text{yards}$

No. of times ball carried by Brandon $=75\text{ times}$

Average yards per carry for Brandon $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{550}{75}$

$=\frac{22}{3}\text{ yards per carry}$

$=7.33\text{ yards per carry}$

Total yards traveled by Pete $=380\text{ yards}$

No. of times ball carried by Pete $=42\text{ times}$

Average yards per carry for Pete $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{380}{42}$

≅ $9\text{ yards per carry}$

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

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3 years ago

What is the initial term for the sequence<br> 36, 24, 16, ...?<br> ?

MariettaO [177]

Answer:

Step-by-step explanation:

The initial term is the very first term

36, 24, 16, ...?

has an initial term of 36

7 0

3 years ago

Find the corresponding effective interest rate for 3% per year compounded continuously?

jeyben [28]

Answer:

3.045%.

Step-by-step explanation:

We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.

We will use effective interest formula to solve our given problem.

$r=e^i-1$ , where,

r = Effective interest rate,

e = Mathematical constant,

r = Interest rate in decimal form.

Let us convert given interest rate in decimal form.

$3\%=\frac{3}{100}=0.03$

Substitute values:

$r=e^{0.03}-1$

$r=1.030454533953517-1$

$r=0.030454533953517$

$r\approx 0.03045$

Convert into percentage:

$0.03045\times 100\%=3.045\%$

Therefore, the corresponding interest rate would be 3.045%.

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2 years ago

What is the surface area of the right rectangular prism?

Mkey [24]

Answer:

1) OPTION D.

2) OPTION D.

Step-by-step explanation:

1) You can calculate the surface area of the rectangular prism with the following formula:

$SA=2(wh+lw+lh)$

Where w is the width, h is height and l is the length.

The figure show you that:

$l=4m\\w=3m\\h=0.5$

Then, the surface area is:

$SA=2[(3m*0.5m)+(4m*3m)+(4m*0.5m)]=31m^{2})$

2) You can calculate volume of the rectangular prism with the following formula:

$V=lwh$

Where w is the width, h is height and l is the length.

When you substitute values, you obtain the following result:

$V=4m*3m*0.5m=6m^{3}$

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3 years ago

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