All categories

2 years ago

(5y + 2) + 14x = 5y + (2 + 14x)

2 answers:

5 0

6. (5y+2)+14x=5y+(2+14x) (1point) A.associative property of addition B.associative property of multiplication C.commutative property of addition D.commutative property of multiplication 7. (m*n)*p=m*(n*p) (1 point) A. commutative property of addition B.commutative property of multiplication C.associative property of addition D. associative property of multiplication

Lorico [155]2 years ago

3 0

Simplify brackets

5y+2+14x=5y+2+14x5y+2+14x=5y+2+14x
Since both sides equal, there are infinitely many solutions
Infinitely Many Solutions

SO BASICALLY THAT MEANS IT EQUALS TO 0.

Simplifying (5y + 2) + 14x = 5y + (2 + 14x) Reorder the terms: (2 + 5y) + 14x = 5y + (2 + 14x) Remove parenthesis around (2 + 5y) 2 + 5y + 14x = 5y + (2 + 14x) Reorder the terms: 2 + 14x + 5y = 5y + (2 + 14x) Remove parenthesis around (2 + 14x) 2 + 14x + 5y = 5y + 2 + 14x Reorder the terms: 2 + 14x + 5y = 2 + 14x + 5y Add '-2' to each side of the equation. 2 + 14x + -2 + 5y = 2 + 14x + -2 + 5y Reorder the terms: 2 + -2 + 14x + 5y = 2 + 14x + -2 + 5y Combine like terms: 2 + -2 = 0 0 + 14x + 5y = 2 + 14x + -2 + 5y 14x + 5y = 2 + 14x + -2 + 5y Reorder the terms: 14x + 5y = 2 + -2 + 14x + 5y Combine like terms: 2 + -2 = 0 14x + 5y = 0 + 14x + 5y 14x + 5y = 14x + 5y Add '-14x' to each side of the equation. 14x + -14x + 5y = 14x + -14x + 5y Combine like terms: 14x + -14x = 0 0 + 5y = 14x + -14x + 5y 5y = 14x + -14x + 5y Combine like terms: 14x + -14x = 0 5y = 0 + 5y 5y = 5y Add '-5y' to each side of the equation. 5y + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 0 = 5y + -5y Combine like terms: 5y + -5y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for.

You might be interested in

PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound

Katarina [22]

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23 (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

5 0

3 years ago

A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a

Sati [7]

Answer:

$P(X \geq0.55) \leq 0.22$

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

$Y=X_1+X_2+...+X_{100}$ is approximately normally distributed with

Y ~ N (100 × $\frac{1}{3^2}$ ) = N ( 50, $\frac{100}{9}$ )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, $\frac{100}{9}$ )

$P(Y>55) =P(Z>\frac{55-50}{10/3})$

$P(Y>55) =P(Z>1.5)$

$P(Y>55) =\phi (-1.5)$

$P(Y>55) =0.0668$

Using Chebyshev's inequality:

$P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}$

Let assume that X has a symmetric distribution:

Then:

$2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}$

$2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}$

$2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}$ where: ( $\sigma^2 = \frac{1}{3^2/100}$ )

$P(X \geq0.55) \leq 0.22$

6 0

3 years ago

In rhombus fmkw mk=12 fk= 16 m

gizmo_the_mogwai [7]

If it is area your looking for.

Area = product of diagonal lengths divided by 2

Area = 12* 16 /2

=192/2 = 96.

IF it is the side length of the rhombus:

apply Pythagoras theorem since the diagonals always meet at 90°.

L =√(12² + 16²)

L= √400 = 20

4 0

3 years ago

Graph the system of linear equations -1/2y=1/2x+5 and y=2x+2

raketka [301]

I agree with the other answer however the first equation would need to be
Y=-1X-10

7 0

3 years ago

Kim sold christmas pies for 5.00$ each. She earned 156 how many pies she sold also let x repersent the number of pies, x, kim so

MA_775_DIABLO [31]

Answer: 31.2 pies

Step-by-step explanation:

Kim sold pies for $5.00 each and earned $156 from doing so.

The number of pies she sold to get to this was x pies.

The formula for doing so is therefore:

5 * x pies = 156

5x = 156

x = 156 / 5

= 31.2 pies

4 0

2 years ago