A storage closet holds twelve boxes stacked upon each other, with each box being 10 inches high. How many feet are there between

Answer:

According to the problem,

Cost for each cup = $1.29

Overall cups = 12

Total expense for the cups = 12 x 1.29 = $15.48

Candy cost = $2.49 per cup

Overall candy cups = x

Nut cost = $0.69 per cup

Overall nut cups = y

Equations:

x + y = 12 (since the total cups of nuts and candies must equal 12)

2.49x + 0.69y = 15.48 (the total expense for the 12 cups equals 15.48)

Step 1: Express x in terms of y

x = 12 - y

Step 2: Substitute x in terms of y from step 1 into the second equation

2.49x + 0.69y = 15.48

2.49 (12 - y) + 0.69y = 15.48

29.88 - 2.49y + 0.69y = 15.48

-1.8y = -14.4

y = 14.4/1.8

y = 8

Step 3: Determine x

x + y = 12

x = 12 - y

x = 12 - 8

x = 4

Thus, Yumi needs 4 cups of candy and 8 cups of nuts.

Answer:

A) AB is perpendicular to AC

B) The triangle is classified as a right triangle.

C) The triangle qualifies as an isosceles triangle

Step-by-step explanation:

we understand that

the method for determining the distance between two points is as follows:

step 1

Calculate the distance AB

we find

insert values into the formula

step 2

Calculate the distance BC

we determine

insert values into the formula

step 3

Calculate the distance AC

we figure out

apply the formula

step 4

Examine the lengths of the triangle's sides

therefore

The triangle ABC is identified as an isosceles triangle, having two equal-length sides. It also meets the criteria for being a right triangle due to the Pythagorean theorem.

----> confirms the right triangle classification.

AB is perpendicular to AC since the legs in a right triangle are at right angles to each other.

<span><span>Example<span>Simplify 3 + 5 </span>•<span> 2.</span>  </span><span> <span>3 + <span>5 </span></span>•<span> 2</span>  <span>According to order of operations, multiplication should occur before addition.</span> </span><span> 3 + 10 Next, perform the addition.</span><span>Result     </span><span>3 + 5 </span>•<span> 2 = 13</span></span>

 

 

 

<span>Example<span>ProblemSimplify 20 – 16 ÷ 4.  </span><span> <span>20 – 16 ÷ 4  </span><span>Order of operations indicates division should be completed prior to subtraction.</span> </span><span> <span>20 – 416</span>Then execute the subtraction.</span><span>Final result     </span>20 – 16 ÷ 4 =<span> 16</span></span>

The correct answer is option D. Detailed explanation: As per the attached image. Observing the image, the coordinates are outlined. To determine the reflection of a point across a line, the distances from the points to the line must be equal. Point A(1,1) sits on the line x = 1, meaning its reflection A' remains at A'(1,1). Point C(2,5) is a distance of 1 from x = 1 on the right, hence its reflected position C' shifts left by the same distance — subtracting 1 from its x-coordinate places it at C'(1 - 1, 5) or C'(0, 5). Point B(4,1) is positioned 3 from x = 1 on the right; therefore, its reflection B' would also move left by 3 – leading to B'(1 - 3, 1) or B'(-2, 1). Plotting A', B', and C' confirms option D as the correct choice.

Zoe gives 7 shells to Dev, leaving her with 48. Dev then has 16 shells in total. Step-by-step explanation: Denote the initial shell count for Dev as A and Zoe’s as B. Based on the scenario where Zoe transfers x shells to Dev while then possessing three times the number of shells relative to him, the resulting references show that Zoe provided 7 shells, leaving her count at 48 while Dev's total became 16.