Which expressions are equal?

A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup

Answer:

4(x + 5)(x - 3)

Step-by-step explanation:

Given

4x² + 8x - 60 ← factor out 4 from each term

= 4(x² + 2x - 15) ← factor the quadratic

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then

x² + 2x - 15 = (x + 5)(x - 3)

Then

4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

Answer:

5 I don't know if it's right but I am a trying

Answer:

A reflection over y=-x

Step-by-step explanation:

Im almost positive

Answer:

15

Step-by-step explanation:

cross multiplying, [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{x}[/tex]

then it would be 15 =1x

and 1x is basically just one, so 15 = x

Answer:

x=78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Answer:sides of triangle = 3,6,8

sides of enlarged triangle = 5.4, x.y

3/ 5.4 = 6/x = 8/y

3/ 5.4 = 6/x

3x =5.4*6

3x =32.4

x = 10.8

3/5.4 = 8/y

3y =8 * 5.4

3y = 43.2  

y = 14.4

perimeter = 5.4 +10.8 +14.4 =30.6 inches

Answer:

Length of the rectangle= 20

breadth of the rectangle= 10

area = l*b

=20*10

=200

Answer:

Step-by-step explanation:

10/5x6=12

Answer:

Step-by-step explanation:

First, we need to understand what a conjecture means, we can take a conjecture to mean the use of observed patterns or foundational knowledge about a certain phenomenon or thing to make a decision or make a logical conclusion about such thing.

Hence, when making Justification about a conjecture, we need to take into cognizance some potent things :

1.) There must be an observed pattern, relationship between the observation upon which a conjecture is to be made. As this pattern are key to our reasoning and decision.

2.) Also, our final conclusion or conjecture will be based on the pattern observed and not on some random thought.

Answer:

x is 83 degrees.

Answer:

x is 83 degrees

Explanation:

Answer:

Root of 2048. [Root of two thousand forty-eight] . square root. 45.2548. cube root. 12.6992. fourth root. 6.7272. fifth root. 4.5948.

Answer:

32√2

Step-by-step explanation:

√2048 = √2^11

            = 32√2

Step-by-step explanation:

We need to do LCM in this case.

2_|_ 6,4,16

2 _|_ 3,2,8

_|_ 3, 1,4

It is not divisible further.

So, LCM is 2×2×3×4 = 48

So, 48 is the answer.

Hope it helps :)

[tex].[/tex]

Answer: The correct answer is C.

Step-by-step explanation: Divide 15 and 6. That'll give you 6.5. Therefore, the correct answer is C.

Answer:

The answer is C 2.5

Step-by-step explanation:

Because u have to divide 15 by 6

Answer:

= -4(2.3x + 0.7)

Step-by-step explanation:

=(3x + 5.1) + (-12.2x - 7.9)

= 3x + 5.1 - 12.2x - 7.9

= -9.2x - 2.8

= -4(2.3x + 0.7)

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

Answer:

y =5/3x - 8

Step-by-step explanation:

5x - 3y = 24

-3y = -5x + 24

y = 5/3x - 8

Answer:

take a clear pic and re-upload......

Step-by-step explanation:

step 1. x + 5 and x - 5 are polynomials.

step 2. x + 5 is a sum, x - 5 is a difference.

step 3. (x + 5)(x - 5) is a product which means to multiply. So "multiply" using FOIL.

step 4. (x + 5)(x - 5) = x^2 - 5x + 5x- 25 = x^2 - 25.

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

Step-by-step explanation:

Given that the line includes the points

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]

[tex]m=\frac{-2+2}{3}[/tex]

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

Answer: Median 38 / Mean 24.5

Step-by-step explanation:

The median is 38

and

The mean is 24.5

To find the median just find the number in the middle of an odd set

but if it happens to be an even number add the 2 middle numbers together and divide them by 2

To find the Mean add all of the numbers and divide them by the number of sets ( in this instance its 4 )

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

Answer:

Yes

Step-by-step explanation:

Answer:

X = 54

Step-by-step explanation:

set the equations equal to each other and then solve for x

Answer:

So 59 for the first one and 58 for the second one

Step-by-step explanation:

3x+2=180 = 3x=178=x=59

4x-52=180= 4x=232 = x=58

Answer:  I would say 28, 97, 167, 131, 66, and 77

Sorry if wrong

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

7.5/2=2.5

Answer: 6+y < -16

Step-by-step explanation: