solve by substitution.
5x-3y=-4
x+y=-4

From the information in the word problem we are able to set up the following inequality:  

3y + 2 - y = 12   |   where x is the larger number of two numbers in a set (x, y)  

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.  

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y              :: 2y = 10

-> divide both sides by 2        :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:  

x - y = 12

-> substitute y for 5     :: x - 5 = 12

-> add 5 to both sides :: x = 17

OR

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5          :: 15 + 2 = x

-> add 15, 2              :: 17 = x

So there you have it:  

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.  

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.  

(just another form of the equation)

brainliest will be appreciated as well

Answer:

y=1

Step-by-step explanation:

it is in the middle of the maximum and minimum.

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

All she needs to know is that  a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.

Hope this helped.

Answer:

To find the reflection of a point across the x-axis and the y-axis, change the signs of both the x-coordinate and the y-coordinate.

Step-by-step explanation:

!!edmentum answer!!

Answer:

3 tenths and 0 hundreths

Step-by-step explanation:

3 is in the tenths place.

So 3 tenths.

There is no value in the hundreths place

So 0 hundreths

Answer: 0.79

Step-by-step explanation: for example 79 is less than 80.

Answer:

the answer is 5

Step-by-step explanation:

the ratio is 4:1 so if you increase B to 20 you divide by 4 to get 5.

20:5=4:1

Answer:

There will be total 855 flowers.

Step-by-step explanation:

Suppose there are 9 total rows and each row has total 19 plant and each plant has 5 flowers.

Then the number of  flowers can be found out by simply multiplying

9*19*5= 855

There will be total 855 flowers (if the above given numbers assumed are the same as the original question)

IF the numbers are changed from the above assumed numbers even then the answer can be obtained by simply multiplying the numbers to get the total numbers of flowers.

Answer:

30 days

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

10^12=1000000000000

1000000000000/24=4.66666666_

that means 4 and a half days but put in 4.5.(I didn't feel like putting the rest of the work i forgot, its 30

Answer:

50 + 4 + .9 + .06

Step-by-step explanation:

Answer:

384

Step-by-step explanation:

if each person who knows it tell 2 people then its doubling every hour

and for 8 hours the equation is

3x[tex]2^{7}[/tex]     (to seventh power because 1st hour already happened)

3x2x2x2x2x2x2x2

6x2x2x2x2x2x2

12x2x2x2x2x2

24x2x2x2x2

48x2x2x2

96x2x2

192x2

384

Answer:

Matallica

Step-by-step explanation:

It's my personal favorite but also Nervana....

Answer: Nirvana

Step-by-step explanation: hoped this helped :)

Answer:

$300

Step-by-step explanation:

$400 is 100% of the price

25% is  a quarter of 100%

A quarter of 400 is 100 so the discount was    $100

400-100 =300

Answer:

2835

Step-by-step explanation:

-9×5= -45

-9×7= -63

-45×(-63)=2835

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

  −1(175−173+18)   (that sould be the solution)

Hope that helps

Answer:

D: {0 ≤ x ≤ 6.25}

Step-by-step explanation:

6.25 is an approximation

Answer:

SSS.

Step-by-step explanation:

The 3 sides are congruent . The  ones that are marked and the middle line which is common to both triangles.

Answer:

Step-by-step explanation:

I believe the first question is 1.9

second: 48.2

sorry didn't understand the third one :(

Answer:

102,9 cm^2

Step-by-step explanation:

First of all we can find the area of the two rectangles at the sides of the figure

A rectangle = length x width = 8 x 4 = 32 cm^2

the rectangles are two so:

32 x 2 = 64 cm^2

for the figure in the center we can proceed like this: we can initially assume that also it is a rectangle, so we have to find the length

length = 16-8 = 8 cm

A = 8^2 = 64 cm^2 (so we have discovered that is a square)

if we look we can see that there is also a semicircle that is not part of the figure. We have to find its area and subtract it to the area of the square

A semiciricle = (radius^2 π)/2

radius = 8/2 = 4 cm

A semicirlce = (4^2) π/2 = 25,13 cm^2

64 - 25,13 = 38,87 cm^2

At least we have to added up this value to the area of the two rectangles

total area = 38,87 + 64 = 102,87 = 102,9 cm^2

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

[tex]EF=AD=18[/tex]

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

[tex]AB=DC[/tex]               (Legs of isosceles trapezoid)

[tex]AE=DF[/tex]                (Vertical height of isosceles trapezoid)

[tex]m\angle AEB=m\angle DFC[/tex]             (Right angle)

[tex]\Delta ABE\cong \Delta DCF[/tex]                (HL postulate)

[tex]BE=CF[/tex]                (CPCTC)

Now,

[tex]BE+EF+FC=BC[/tex]

[tex]2BE+18=24[/tex]

[tex]2BE=24-18[/tex]

[tex]2BE=6[/tex]

[tex]BE=3[/tex]

Using Pythagoras theorem in triangle ABE, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex](AB)^2=(AE)^2+(BE)^2[/tex]

[tex](AB)^2=(4)^2+(3)^2[/tex]

[tex](AB)^2=16+9[/tex]

[tex](AB)^2=25[/tex]

Taking square root on both sides, we get

[tex]AB=\pm \sqrt{25}[/tex]

[tex]AB=\pm 5[/tex]

Side length cannot be negative. So, [tex]AB=5[/tex].

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

Answer:

Mira = 95 miles

Step-by-step explanation:

Given

John walked 50 miles than Mira

The total miles walked is 290

To find

If John walked 50 miles more than Mira and the total miles walked including Mira is 290, then divide 290 by both of them. Once that is done, don't evenly distribute the miles to them. Because remember, John walked 50 miles more than Mira. So we just distribute this with John having 50 miles more. By subtracting 50 from Mira's share and give it to John

Solve

290 ÷ 2 = 145

Mira's 145 - 50 = 95

John's 145 + 50 = 195

Therefore, John ran 195 miles and Mira ran 95 miles.

Answer:

120 Jumps per Minute

Step-by-step explanation:

3 Seconds per jump

So we do 60 (seconds in a minute) / 3 (seconds)

We get 20, this is how many times we do the 6 jumps.

Then we simply do 6x20 to get 120 jumps per minute!

Answer: x - 1.5

4x – 97 + 12 – x = -80.5

3 x - 85 = -80.5

3 x - 85 +85 = -80.5 + 85

3x = -80.5 + 85

3x = 4.5

x = 1.5

Step-by-step explanation: hope this helps

Answer:

x=1.5

Step-by-step explanation:

4x-97+12-x=-80.5

Combine like terms

-97+12=-85

4x-x=3x

now you have 3x-85=-80.5

add 85 to both sides and now you have

3x=4.5

Now divide 3 to both sides and you get x=1.5

Answer:

y = -4x+1.5

Step-by-step explanation:

I just plugged it into desmos honestly :/

Answer:

B

Step-by-step explanation:

The format for quadrant 2 would be (-,+) and answer choice be fits that because it is(-3,2)