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3 years ago

16+5x=8x-5 What would the variable be?

1 answer:

7 0

16+5x =8x-5

Reorder the terms
16+5x = -5+8x
Solving for variable for x

Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x

Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5

Add -16 to each side of the equation
16+-16 + -3x = -5 + 16

Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16

combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7

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Laura,Ahmad,and Tony served a total of 94 orders Monday at the school cafeteria. Ahmad served 3 times as many orders as Tony. La

Helen [10]

Answer

Find out the how many orders did they each serve .

To prove

Let us assume that the tony served be = x

As given

Laura,Ahmad,and Tony served a total of 94 orders Monday at the school cafeteria.

Ahmad served 3 times as many orders as Tony. Laura served 9 more orders than Tony.

Let us assume that the Ahmad served be = 3x

Let us assume that the Laura served be = 9 + x

Than the equation becomes

x + 3x + 9 + x = 94

5x = 94 - 9

5x = 85

$x = \frac{85}{5}$

x = 17

Tony served order be = 17

Ahmad served order be = 3 × 17

= 51

Laura served order be = 9 + x

= 9 + 17

= 26

Therefore the Tony served order is 17 , Ahmad served order is 51 and

Laura served order is 26 .

7 0

3 years ago

On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

Sergio [31]

Answer:

Step-by-step explanation:

288 cups did this before

5 0

2 years ago

What is the answer to 7 or 8???

Eddi Din [679]

Answer:

7. parallel: k = 3

perpendicular: k = -4/3

8. $1300

Step-by-step explanation:

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

8y = 12x + 6

⇒ $y=\dfrac32x+\dfrac34$

4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ $y = \dfrac12kx + \dfrac52k$

If the graphs are parallel their slopes will be the same.

$\implies \dfrac32=\dfrac12k$

$\implies k=3$

If the graphs are perpendicular then the product of their slopes will be -1.

$\implies \dfrac32 \times \dfrac12k=-1$

$\implies \dfrac12k=-\dfrac23$

$\implies k=-\dfrac43$

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table: (10, 110) and (20, 195)

Let $(x_1,y_1)$ = (10, 110)

Let $(x_2,y_2)$ = (20, 195)

Use the slope formula to find the slope m:

$\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}$

Now use the point-slope form of linear equation:

$\implies y-y_1=m(x-x_1)$

$\implies y-110=\dfrac{17}{2}(x-10)$

$\implies y=\dfrac{17}{2}x+25$

Substitute x = 150 into the equation and solve for y:

$\implies y=\dfrac{17}{2}(150)+25=1300$

Therefore, the total cost of ordereing 150 mugs is $1300

5 0

2 years ago

The sum of 13 and twice n

Llana [10]

Answer:

13 + 2n

Step-by-step explanation:

7 0

3 years ago

Express cos I as a fraction in simplest terms.

Serga [27]

Answer:

Solution given

Cos I=adjacent/hypotenuse=16/34

8/17 is a required answer.

4 0

3 years ago