Ask question

Ask question

All categories

3 years ago

11

Hannah has 3 boxes of rice. One box contains 3 kilograms, the second box contains 150 grams, and the third box contains 500 gram

s. She wants to divide the rice equally into 5 bags. How much rice should she put into each bag? Explain.

2 answers:

WINSTONCH [101]3 years ago

6 0

3000g = 3kg
150g + 500g + 3000g = 3650g
3650g divided by 5 = 730g

She should put 730g into each bag.

kaheart [24]3 years ago

3 0

(3kg(1000g/kg)+150+500)/5=730g/bag

You might be interested in

Y varies inversely as the fourth power of x and when x=3, y=1.

masya89 [10]

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼

<h3>Inverse variation</h3>

y = k ÷ x^¼

where,

Constant of proportionality = k

When x = 3, y = 1

y = k ÷ x^¼

1 = k ÷ 3^¼

1 = k / 3^¼

cross product

1 × 3^¼ = k

k = 3^¼

Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼

Learn more about inverse variation:

brainly.com/question/10252139

#SPJ1

4 0

1 year ago

You have a 12 foot ladder and need to reach exactly 9 feet up the wall. How far away from the wall should you place the ladder s

dusya [7]

Pythagorean thoerem
we imagine the wall as a leg of a right triangle, the ladder is the hypotonuse and the distance from the bottom of the ladder to the wall is the other leg

so if we have a right triangle with leg length a and b and hypotnuse length c then
a²+b²=c²

so
given that one of the legs is 9ft (9 ft is the height of the triangle)
and the hypotnuse is 12 ft (length of ladder)
then say the last leg is x

so
x²+9²=12²
x²+81=144
mius 81 both sides
x²=63
sqrt both sides
x=√63
x=3√7

you should place it 3√7ft or about 7.9 or 8ft away

4 0

3 years ago

HElp pleaseeeeeeeee<br> and please answer properly

Scrat [10]

There’s 12 boys and 18 girlszzzzzzz

6 0

2 years ago

Solve for x. −6≥10−8x

Nataly_w [17]

$-6\geq10-8x\\\\
8x\geq16\\\\
x\geq2$

3 0

3 years ago

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago