Kayla's age is 3 less than twice her brothers age . Kayla is 13 years old. How old is her brother?(using equations)

Answers

Answer 1

Answer: $Kayla=k \n Brother=b \n \n k=2b-3 \n k=13 \n \n (13)=2b-3 \n 16=2b \n 8=b$

Her brother is 8 years old.

Answer 2

Answer: Let x= brother
2x-3= Kayla

2x -3= 13
2x-3= 13
2x= 16
x=8
Kayla's brother is 8 yrs. old

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Logan takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 13 inches long and the width of the fabric is 5 inches. What is the fabric's length?

Answers

Answer:

length of the rectangular fabric = $√(75)$

Step-by-step explanation:

The diagonal of the rectangle makes two congruent triangles.

Considering the triangle formed by the diagonal.

As diagonal becomes hypotenuse of the triangle

Diagonal= 10 inch

Width= base of the rectangular piece= 5 inches

Perpendicular of the triangle= length of the rectangular fabric(L)

Using Pythagorean Theorem:

$(Hypotenuse)^2= (Perpendicular)^2+(Base)^2\n(10)^2=(Length)^2+5^2\n\n100=(Length)^2+25\n\n100-25= Length^2\n\n(Length)^2=75\n$

So, the length of the rectangular fabric is $√(75)$

Neli needs to cut 3 long boards into 9 smaller boards.The first is 10 ft, the second is 16 ft, and the third is 18 ft. The table lists the smaller boards Neli needs use a drawing to show how he can devide the 3 boards so there is no waste.

Answers

4.8 ft because you have to add up all the board lengths and then you divide by 9

8-4(-x+5).

Mom I can’t find my homework

Answers

Answer:

8-4(-x+5)

8 +4x -20

4x -12

Step-by-step explanation:

8-4(-x+5)

8 +4x -20

4x -12

Why did the picture go to jail

Answers

Because it was framed.

Because it was Framed

David is filling five 3/4 quart bottles with a sports drink. His measuring cup only holds 1/4 quart. How many times will David need to fill the measuring cup in order to fill the 5 bottles?

Answers

Answer:

$15\ times$

Step-by-step explanation:

Step 1

Find the total quarts in the five bottles

Multiply $5$ by $(3)/(4)$

$5*(3)/(4)=(15)/(4)\ quarts$

Step 2

Find the number of cups needed to fill the five bottles

by proportion

$(1)/((1/4))(cup)/(quarts) =(x)/((15/4))(cups)/(quarts)\n \nx=((15/4))/((1/4))\n\nx=15\ cups$

if the bottles are3/4 quart and he have 5 bottles that means he have tree 1/4 in one bottle then 3*5=15 so he have to fill the measuring cup 15 times.

The volume of a cube is 512 cm3. What would change if the volume of the cube were measured in cubic meters?

Answers

$1\ m=100\ cm\ \ \ \Rightarrow\ \ 1\ m^3=1,000,000\ cm^3\ \Rightarrow\ \ 1\ cm^3=0.000001\ m^3\n \n512\ cm^3=0.000512\ m^3$

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