Elisa's mom teaches at preschool. There is 1 teacher for every 12 students at the preschool. There are 276 students at the preschool. Elisa is setting up equivalent ratios to find the number of teachers at the preschool. Find her mistake and correct it. Elisas work-- 12/1 = ?/276

Answers

Answer 1

Answer: 1:12 = 23:276 should be Elisa's revised work

Answer 2

Answer: 12/1 23/276 -answer
got it by dividing 276 by 12

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If 120 marks is 60% what is full marks

Answers

percentage is a value by a fraction of 100.
120 marks is equivalent to 60%
this means from the whole amount, 60 % of the whole amount is 120 marks
we need to find the full marks
if 60 % --- 120
then 1 % --- $(120)/(60)$
full marks are 100 %
therefore 100 % - $(120)/(60) * 100$
100 % --- 200 marks
full marks are 200 marks

since 120 is 60 percent we know that 2/3*120+120 will be 100 percent

2/3*120=80
so 80+120=200

So, full marks is 200

What is 9\4 as a mixed number

Answers

Okay so the formula is

1. Divide the numerator by the denominator.
2. Write down the whole number answer.
3. Then write down any remainder above the denominator.

so your answer is 2 1/4

U can divide 9 by 4 which equals 2.25 in decimal form but in fraction from it would look like this 2 1/4

Anusha needs to find a rectangular container large enough to hold a volume of 130 in.3. Which container should she use?A. a container with the dimensions 2 by 5 by 10 inches

B. a container with the dimensions 3 by 4 by 10 inches

C. a container with the dimensions 3 by 5 by 10 inches

D. a container with the dimensions 4 by 2 by 10 inches

PLEASE HELP!!

Answers

Option C

Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches

Solution:

Anusha needs to find a rectangular container large enough to hold a volume of 130 cubic inches

The volume of rectangular container is:

$volume = length * width * height$

Option A

Container with the dimensions 2 by 5 by 10 inches

Therefore, volume is given as:

$Volume = 2 * 5 * 10 = 100$

Thus volume is 100 cubic inches

Option B

Container with the dimensions 3 by 4 by 10 inches

Therefore, volume is given as:

$Volume = 3 * 4 * 10 = 120$

Thus volume is 120 cubic inches

Option C

Container with the dimensions 3 by 5 by 10 inches

Therefore, volume is given as:

$Volume = 3 * 5 * 10 = 150$

Thus volume is 150 cubic inches

Option D

Container with the dimensions 4 by 2 by 10 inches

Therefore, volume is given as:

$Volume= 4 * 2 * 10 = 80$

Thus volume is 80 cubic inches

Thus Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches

Answer:C. a container with the dimensions by 5 by 10 inches

At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top of the tree to the end of the shadow is x+1 meters, what is the height , x of the tree ?

Answers

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^(2)+(x-49)^(2)=(x+1)^(2)$

Expanding, we get,

$2 x^(2)-98 x+2401=x^(2)+2 x+1$

$2 x^(2)-98 x+2400=x^(2)+2 x$

$2 x^(2)-100 x+2400=x^(2)$

$x^(2)-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^(2)-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^(2)-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=(100\pm√(10000-9600))/(2)$

$x=(100\pm√(400))/(2)$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=(100+20)/(2) \nx=(120)/(2) \nx=60$ and $x=(100-20)/(2) \nx=(80)/(2) \nx=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

What is 14 ten thousands+12 thousands

Answers

14 ten thousands is (14*10,000) which gives you 140,000
so you would do 140,000 + 12,000 which gives you 152,000

The answer to this question is 152,000!

A ________ is a whole number that divides another whole number with a remainder of 0

Answers

It's a factor. This concept is widely used throughout algebra, and you'll probably bump into it through the end of high school and beyond.

A common use is expressing a term in prime factorization, or reducing a number to its most base parts- primes. For example:

$20 = 4 * 5 = 2 * 2 * 5$

Of course, a number like 13 which is already prime is made up of itself and 1. Factors do not have to be primes. 20 is also reducible through combinations of 1, 2, 4, 5, 10, and 20. Prime factorization is just a handy example.

Basically, factors multiply with each other to create other numbers, and numbers can be reduced down to their factors.

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