Which of the following is the solution to the following system of inequalities?
x+2y<4
3x-y >2

Answer:

6

Step-by-step explanation:

Answer:

92 + ( -5 ) , 2+2

Step-by-step explanation:

1) 92 + ( -5 )

= 92 - 5

= 87

2) 2 + 2 = 4

Answer:

((√x) - 1 )/-2 = y (3rd answer)

Step-by-step explanation:

Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.

Answer:

Step-by-step explanation:

area of square + 1/2 area of 1 triangle * 4

Add the like terms :

Answer:

A. y < -2x + 6

y≤ x + 2

Step-by-step explanation:

I put it in desmos.

Hope this helps!

If not, I am sorry.

The number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that with a single can of frozen lemonade concentrate 6 cups of lemonade can be made. Therefore, the number of cups that can be made with x number of cans is,

Number of cups that can be made, y = 6x

Hence, the number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

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Answer:

x ≈ 12.182

Step-by-step explanation:

1 - 2lnx = - 4 ( subtract 1 from both sides )

- 2lnx = - 5 ( divide both sides by - 2 )

lnx = 2.5

x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )

Answer:

x = 12.182  (nearest thousandth)

Step-by-step explanation:

Given equation:

[tex]1-2 \ln x=-4[/tex]

Subtract 1 from both sides:

[tex]\implies 1-1 -2 \ln x =-4-1[/tex]

[tex]\implies -2 \ln x=-5[/tex]

Divide both sides by -2:

[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]

[tex]\implies \ln x = \dfrac{5}{2}[/tex]

[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):

[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]

[tex]\implies x= e^{\frac{5}{2}[/tex]

[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]

Answer:

The domain is t ≥ 0

The range is D ≥ 0

Step-by-step explanation:

[tex]rate = \frac{distance}{time}[/tex]

D(t) = 100t + d₀

t is the time measured in hours.

d₀ is the initial position of the train.

We can assume the distance they go is not negative so...

The domain is t ≥ 0

The range is D ≥ 0

Answer:

5/23

Step-by-step explanation:

▪︎ There are 23 customers in total.

▪︎ Only 5 of them ordered a starter but not a dessert.

▪︎ => 5/23

The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Customers= 23

and, Customer like starter=5

Customer like Dessert =8

Customer like both =7

So,  probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

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Answer: 360

Step-by-step explanation: 6 times 6 times 10 = 360

Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is:  [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]

64 + 144 = 208

[tex]\sqrt{208}[/tex] = 14.42

14.42 / 2 =

7.21

Answer:

x=21°

Step-by-step explanation:

40°+5x+14°+x=180°

5x+x=180°-40°-14°

6x=126°

x=21°

Answer:

x = 21

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x + 40 + 5x+14 = 180

Combine like terms

6x+54 =180

Subtract 54 from each side

6x+54-54 = 180-54

6x =126

Divide each side by 6

6x/6 =126/6

x = 21

[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]

Put (1) to (2):

[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]

Substitute the value of x to (1):

[tex]y=2\cdot2\\\boxed{y=4}[/tex]

Solution:

[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]

Answer:

The correct answer would be 20.92

The distance that measures 7 units is the distance between points M and P

The complete question is in the attached image

The points are given as:

L= -7

M = -1

N = 2

P = 6

The distance between any points A and B is calculated using:

AB = |B - A|

Using the above formula, we have:

MP = |6 -(-1)|

Evaluate the difference

MP = |7|

Remove absolute bracket

MP = 7 units

Hence, the distance that measures 7 units is the distance between points M and P

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Answer:

132

Step-by-step explanation:

180-48=132

Answer: 132

Step-by-step explanation:

let x = unknown amount

48 + x = 180

————————————————————————

Solve for x by subtracting 48 from both sides

48 - 48 + x = 180 - 48

x = 132

Answer:

d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.

Step-by-step explanation:

The difference between area and volume...

A. INCORRECT,

B. INCORRECT,

C. INCORRECT,

D. CORRECT,  

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Answer:

8 in

Step-by-step explanation:

Volume of Cube = 512 in³

Formula : -

Volume of cube = side x side x side = side³

512 = 8 x 8 x 8 = 8³

So,

The length of one side of the jewelry box is 8 in.

Answer:

y = -1

Step-by-step explanation:

Because the coordinate of U and U' is (5, 0) and (5, -2), the line that is right in the middle would be y = -1.
Or you can compare two of the coordinates to create the line of reflection.

For example: R (0,0), R'(0, -2)

                      U(5, 0), U'(5, -2)

The middle points are (0, -1) (5, -1).

In this case, y = -1.

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

⇒-8(x+13)=2(x-7)+4x

⇒-8x-13×8 = 2x-2×7+4x

⇒-8x-104=2x-14+4x

⇒-8x-104=6x-14

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).

Hence, option C is correct.

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Answer:

625 × 48 = 30,000

[tex]\sqrt[4]{30000} = 10 \sqrt[4]{3} [/tex]

answer = third option

Answer:

D

Step-by-step explanation:

Answer:

.833 (83.3%)

Step-by-step explanation:

There are 6 numbers on a normal die. 5 of them are larger than 1. The odds would be 5/6

Answer:

√10 + (-√10) = 0, and 0 is not irrational

^ this one

Answer:

If you attach the answers i can help you better

Step-by-step explanation:

Answer:

letter c

Step-by-step explanation:

Answer:

2/9 or 0.22222

Step-by-step explanation:

Answer:

Using the concept of linear equations, we find that we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze.

Step-by-step explanation:

Let x = amount of 20% antifreeze

Let y = amount of 70% antifreeze

Given that the total amount of antifreeze is 80 gallons

So, x + y = 80

Also given that the purity of the total antifreeze is 60%.

0.65x + 0.90y = 0.70(x + y)

65x + 90y = 70(x + y)

Simplify and solve the system of equations

65x + 90y = 70x + 70y      

65x -70x+ 90y-70y = 0    

-5x + 20y = 0      

Now we have the following system of equations:

x + y = 50

-5x + 20y = 0

Multiply the first equation by 5 to get opposite coefficients for x;  

add the equations to eliminate x

5x + 5y - 5x + 20y = 250

25y = 250

y = 10              

Since the total mixed gallons is 50,

x = 50 - 10 = 40

So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze

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