Expand to write an equivalent expression: -1/4(8x+12y)

Question 1 1.1 Jane wants to make Spaghetti Bolognese for her family of 5 people, including herself. The following is a list of

Lelechka [254]

Answer:

$\begin{gathered} 1.1.1.300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg} \\ 1.1.2.400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg} \\ 1.1.3.500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt} \\ 1.1.4.769.69\cdot0.001=0.769\text{ liters} \end{gathered}$

Step by step explanation:

1.1.1 We know that 1kg is equivalent to 1000g, then we can convert:

$300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg}$

1.1.2 For 400g of tomatoes:

$400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg}$

1.1.3. For 500ml of water, convert this into liters. We know that a 1ml is 0.001 lt

$500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt}$

1.1.4. Since capacity is represented by the following expression:

$\begin{gathered} C=\pi\cdot\text{radius}\cdot\text{radius}\cdot\text{height} \\ C=\pi\cdot7\cdot7\cdot5=769.69cm^3 \end{gathered}$

We know that 1 cubic centimeter is equal to 0.001 liters.

$769.69\cdot0.001=0.769\text{ liters}$

8 0

1 year ago

students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 cl

erma4kov [3.2K]

Answer:

26.8

Step-by-step explanation:

Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.

Total students that were divided into 4 classrooms :

33.5 × 4 = 134

So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.

134 ÷ 5 = 26.8

So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .

Hope this helped !

4 0

2 years ago

Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the

alukav5142 [94]

Answer:

a) y = |x/2 -2| +4

b) y = |x/2 -2| +2

c) y = |(x+1)/2 -2| +3

d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

g(x) = f(x -h) +k

a) one unit up

Add 1 to the function value.

$y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}$

b) one unit down

Subtract 1 from the function value.

$y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}$

c) one unit left

Replace x with x-(-1).

$y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}$

d) one unit right

Replace x with x-1.

$\boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}$

7 0

3 years ago

PLZ HELP Due in an hour!

frosja888 [35]

Answer:

1. No, 2. 46, 3. The amount of tails flips would be more than the amount of heads flips.

Step-by-step explanation:

1 is no because .77 and .23 are not equal to .5, so her prediction was wrong. 2 is 46 because if you double both the numbers (to get a total of 200 flips), you would get 154 tails and 46 heads. 3 is more tails than heads because that is what we have observed.

6 0

2 years ago

Find the volume of a triangular prisms with base height 4 width 7 and height 10. Please hurry!

Dimas [21]

Answer:To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume. I hope that helped a little

Step-by-step explanation:

4 0

3 years ago