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3 years ago

Solve for x. 5x+9=24

Mathematics

2 answers:

OlgaM077 [116]3 years ago

6 0

Answer:

$5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3$

Vikentia [17]3 years ago

5 0

Answer: x=3

Step-by-step explanation:

5x+9 =24 subtract 9 from both sides

-9 -9

5x = 15 Divide both sides by 5

x = 3

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Jaylon Bedford ordered a combo meal that included 2 hamburgers and a drink. The combo cost $8.50. If the drink is $1.50, how muc

valentinak56 [21]

Answer:

$3.50 each

Step-by-step explanation:

First subtract the drink price from the total,$8.50-$1.50=$7. then divide that amount by 2 since he got 2 burgers. $7/2=$3.50.Each burger is $3.50.

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3 years ago

Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent

svetlana [45]

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

x = price of a hosta .
y = price of a pot of ivy.

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

$\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.$

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

$y=\frac{62-5*x}{4}$

and replacing this expression in the second equation you get:

$8*x +12*\frac{62-5*x}{4}=144$

Solving:

$8*x +\frac{12}{4}*(62-5*x)=144$

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

The cost of one hosta is $6

8 0

3 years ago

Solve for x. x/8 - 2 = -3

victus00 [196]

Answer:

The correct answer is x = -8.

Step-by-step explanation:

To solve this equation, we want to get the variable x alone on the left side of the equation. To do this, we should first add 2 to both sides of the equation.

x/8 - 2 = -3

x/8 -2 + 2 = -3 + 2

x/8 = - 1

Next, we should multiply both sides of the equation by 8 to isolate the variable x.

x = -8

Therefore, the correct answer is x = -8.

If we want to check our answer, we can plug -8 back into the original equation.

-8/8 - 2 = -3

-1 -2 = -3

-3 = -3

Since the two sides match, we know that we got the correct answer.

Hope this helps!

5 0

3 years ago

Problem: 2x+3 (x-4)=x-20

monitta

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3 years ago

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maksim [4K]

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3 years ago