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siniylev [52]
2 years ago
15

Veronica got 3 times as many gifts as Natalie. Together Veronica and Natalie got a total of 12 gifts. How many gifts did Natalie

(x) and Veronica (y) each get?
Mathematics
1 answer:
umka21 [38]2 years ago
6 0
Natalie = x

Veronica = 3x

Altogether 4x meaning 4 parts

12 divided by 4 = 3

Natalie got 3 gifts veronica got 9


Another way to work this out is with ratio

1:3 of 12 gifts
1+3 = 4
12 divided by 4 = 3
Each part is 3 gifts

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Compute the requested value. Choose the correct answer.
Fiesta28 [93]

Original price of the item = $14.95

Price after discount = $13.79

Discount offered = original price - price after discount = 14.95- 13.79 = $1.16

Now let us find the percentage of discount offered.

Percentage discount is given by the formula:

Percentage discount = \frac{MP-SP}{MP}*100

Where MP= Marked price= original price

SP= selling price= price after discount

Percentage discount = \frac{1.16}{14.95}*100

Percentage discount = 7.759 %

7 0
2 years ago
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Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.
zlopas [31]

12 pounds x $3 = $36

$40 - $36 = $4

7 0
2 years ago
Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria
Norma-Jean [14]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is \sqrt{2} times the length of each leg.

Proof:

\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a^2 + b^2 = c^2

Since a=b in an isosceles triangle:

a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2}  \\\\c=a\sqrt{2} \\

Therefore, the next step is to Determine the principal square root of both sides of the equation.

8 0
2 years ago
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A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of 9 1/3 squar
Vika [28.1K]
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd

Area of parallelogram = base * height

We need to divide the combined area into two to get each parallelogram's base.

9 1/3 = ((9*3)+1)/3 = 28/3

28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²

Area of each parallelogram is 4 2/3 yd²

4 2/3 yd² = base * 1 1/3 yd

14/3 yd² ÷ 4/3 yd = base

14/3 yd² x 3/4 yd = base
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42 / 12 = base
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a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.

length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds

Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²


8 0
1 year ago
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Marta_Voda [28]

Answer:

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Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

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