3x -4y = 13 y = -3x-7

Answer:

[tex]192 \: sq {}^{2} [/tex]

Step-by-step explanation:

To find area, multiple the length by the width. In this case, the length is [tex]16[/tex] and the width is [tex]12[/tex].

[tex]12×16=192[/tex]

Answer:Add  

9

to both sides of the equation.

x

=

y

+

9

x

+

y

=

6

Replace all occurrences of  

x

with  

y

+

9

in each equation.

Tap for more steps...

2

y

+

9

=

6

x

=

y

+

9

Solve for  

y

in the first equation.

Tap for more steps...

y

=

−

3

2

x

=

y

+

9

Replace all occurrences of  

y

with  

−

3

2

in each equation.

Tap for more steps...

x

=

15

2

y

=

−

3

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

15

2

,

−

3

2

)

The result can be shown in multiple forms.

Point Form:

(

15

2

,

−

3

2

)

Equation Form:

x

=

15

2

,

y

=

−

3

2

image of graph

Step-by-step explanation:

Answer:

200 mph/321 km/h if the track is 1 mile long and 100 mph/160 km/h if the track is 2 miles long

Step-by-step explanation:

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:

[tex]r = \frac{4\,in}{5\,ft}[/tex]

We can convert each length by dividing it by scale factor. That is:

Length

[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]l' = 20\,ft[/tex]

Width

[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]w' = 31.25\,ft[/tex]

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Answer:

53 + 67 + x = 180

Step-by-step explanation:

Answer:

180 = 53 + x + 67

(A straight line equals 180°)

good luck, hope this helped :)

Answer:

Its point A. Or 4,5 or -4,5

Step-by-step explanation:

Answer:

81 miles

Step-by-step explanation:

18x4=72 and then you have to add the 1/2 and 1/2 of 18 is 9 so you add 72+9=81 to get the answer. Hope this helps! <3

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Answer:

25

Step-by-step explanation:

In her first 5 days, she reads 80 pages. That means that per day, she reads 16 pages. Then, she had 400 pages left, since 480-80 = 400.

So, you divide 400/16 = 25 days.

Answer:

A 5

Step-by-step explanation:

60 mins = 1 hour

60 divided by 4 is 15

60 divided by 3 is 20

15 times 3 is 45

20 times 2 is 40

45 - 40 is 5

Answer:3^2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

5x-4(-3x+5)=-3

5x+12x-20=-3

17x-20=-3

17x=17

x=1

Answer:

(1,2)

Step-by-step explanation:

1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:

[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]

2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:

[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]

So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).

Answer:

Game =$6 and ride=$9, to solve is 3x+4y=54

x+y=15

Step-by-step explanation:

;)

Answer:

X = -3.5

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

4x+16=2

  -16      -16

4x= 2-16

4x=-14

/4    /4

x= -7/2

Answer:

Step-by-step explanation:

D. 64 square units

Answer:

2x = 2 × 12 = 24 24 =2x 24-6=18

3y = 3 × 2 = 6 6 =3y

2x = 2×1 = 2 2 =2x 2+0=2

y = 0 0 = y

Step-by-step explanation:

I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong

Answer:

y = -4

x = 3

Step-by-step explanation:

I will be using the elimination method to solve this:

Begin by times -1 to the bottom equation.

[tex]2x-3y=18[/tex]

[tex]-2x-y=-2[/tex]

Add them together

[tex]0x-4y=16[/tex]

ignore the 0x and divide -4 to both sides

[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]

y = -4

Plug y back into one of the two original equations

[tex]2x-3(-4)=18[/tex]

multiply -3 and -4 to get +12

[tex]2x+12=18[/tex]

subtract 12 to both sides

[tex]2x=6[/tex]

divide by 2 to both sides

x = 3

Answer:

$200

Step-by-step explanation:

1 week: $50

1 week ($50) x 4 = $200

Answer: You will earn $200 in the span of 4 weeks.

Step-by-step explanation:

• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.

• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.

Answer:

5/8 + 7/12

Step-by-step explanation:

Miles to friends house = 5/8

Ditance to the movies = 7 1/2

To find the total distance walked in Wal, we sun the fraction of distance Evans walked to his friend's house and the distance walked from friend's house to the movies ;

That is :

5/8 + 7/12

= 29/24 miles

Answer:

Step-by-step explanation:

A.Quadratic

Explanation:

Think of 6 + y - 3 as 6 + 1y - 3

y and 1y are the same thing because 1 times any number is that same number.

The coefficient is the number to the left of the variable, so the coefficient is 1.

Answer:

(n/3)/4 =20

Step-by-step explanation:

i think this is what your looking for if not im sorry

have a blessed day :)

Answer: he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

Step-by-step explanation:

We know that Tim bought all of the two 3/4 lb packages for a party.

Then he bought 2 packages. Such that each package has  3/4 lb meat.

Then the total amount of meat that Tim has is equal to 2 times the amount of meat in each package, this is:

Total meat = 2*(3/4 lb) = (6/4 lb)

and we can write 6 = 4 + 2

then:

Total meat =  6/4  lb = (4 + 2)/4  lb = (4/4 + 2/4) lb = (1 + 1/2) lb

So he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

answer 0.0227014756

Step-by-step explanation:

or if you meant 312.775/7.1 it's 44.0528169

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years