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3 years ago

A new price of an item is $39.32. The percent increase was 16%. What was the original price?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

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Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0

3 years ago

$90 is what percent of $100? I need help.

serg [7]

90%

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3 0

3 years ago

What is the value of x in the equation x + 10 = 13? O-3 03 0 13 O 23

gayaneshka [121]

Answer:

Step-by-step explanation:

x+10=13

x+10-10=13-10

Simplfiy

x=3

3 0

3 years ago

Read 2 more answers

1. K is the midpoint of HN. HK = 4x + 5 and HN = 11x – 11. Solve for x and find KN.

galben [10]

Answer:

see explanation

Step-by-step explanation:

Since K is at the midpoint of HN then HK = KN = 4x + 5, thus

HN = HK + KN ← substitute values

11x - 11 = 4x + 5 + 4x + 5, that is

11x - 11 = 8x + 10 ( subtract 8x from both sides )

3x - 11 = 10 ( add 11 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Hence

KN = 4x + 5 = (4 × 7) + 5 = 28 + 5 = 33

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3 years ago

A motorcycle travels north along

Sindrei [870]

Answer:

42 mph

Step-by-step explanation:

From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.

Motorcycle in 4 hours at a constant speed of 45 mph travelled

$45\cdot 4=180\ miles$

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

$348 -180=168\ miles$

If x mph is truck's speed, then

$168=4\cdot x\\ \\x=\dfrac{168}{4}=42\ mph$

7 0

4 years ago