Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

A school district wants to determine the most effective way to prepare seniors for the SAT. They randomly select senior level ma

My name is Ann [436]

Answer:

In the SAT; Pedagogical relationships are not traditional but those of a group of people working together towards a common goal. Students and tutor challenge specific problems together and face a style of encounter that opens the way to self-learning.

● Within the SAT group, which is at the same time a group of neighbors who share possibilities and problems, learning to dialogue is both an educational objective and a means of training.

Step-by-step explanation:

The purpose of the SAT is for graduates to be competent to perform in their own communities at different levels of activity. The Booster, for example, works at the level of improvement of productive projects within its own productive units or those of its neighbors. The Pilot, in addition to the previous capacity, can organize different types of activities for the common good (health projects, the environment, work with children, recreation, production in solidarity). These two levels are approved by law with the basic secondary. At the Bachelor level, graduates are trained to participate in more complex organizations and develop long-term initiatives in both productive and organizational aspects.

To achieve greater ease and adaptation to the SAT, <em><u>I consider that the group that is being taught with the non-traditional method and where the students work in groups, can easily adapt to the SAT learning system.</u></em>

4 0

3 years ago

Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°

kramer

Answer:

D) 140°

Step-by-step explanation:

The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.

7 0

3 years ago

Read 2 more answers

The equation of the regression line is Y = 76 + 2x. Which of the

balandron [24]

None of those are shown on the graph.

7 0

3 years ago

Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1

liraira [26]

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is $3\frac{3}{4}$ cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need $2\frac{1}{2}$ cups of water to

make $4\frac{1}{3}$ cups of cooked rice

- Joseph needs $6\frac{1}{2}$ cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups : water cups : cooked cups

⇒ 2 : $2\frac{1}{2}$ : $4\frac{1}{3}$

⇒ x : y : $6\frac{1}{2}$

- By using cross multiplication

∵ x ( $4\frac{1}{3}$ ) = 2 ( $6\frac{1}{2}$ )

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∴ x ( $\frac{13}{3}$ ) = 2 ( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ x = 13

- Divide both sides by $\frac{13}{3}$

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( $4\frac{1}{3}$ ) = ( $2\frac{1}{2}$ )( $6\frac{1}{2}$ )

∵ $2\frac{1}{2}$ = $\frac{5}{2}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∴ $\frac{13}{3}$ y = ( $\frac{5}{2}$ )( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ y = $\frac{65}{4}$

- Divide both sides by $\frac{13}{3}$

∴ y = $3\frac{3}{4}$

∴ The number of the cups of water is $3\frac{3}{4}$ cups

6 0

3 years ago

You need to invest $1000 in a bank account and are give two options. The first option is to earn $50 every month you leave the m

garri49 [273]

Answer:

<h3><u>Option 1</u></h3>

Earn $50 every month.

Let x = number of months the money is left in the account
Let y = the amount in the account
Initial amount = $1,000

$\implies y = 50x + 1000$

This is a <u>linear function</u>.

<h3><u>Option 2</u></h3>

Earn 3% interest each month.

(Assuming the interest earned each month is <u>compounding interest</u>.)

Let x = number of months the money is left in the account
Let y = the amount in the account
Initial amount = $1,000

$\implies y = 1000(1.03)^x$

This is an <u>exponential function</u>.

<h3><u>Table of values</u></h3>

<u />

$\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}$

From the table of values, it appears that <u>Account Option 1</u> is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month. To find this, graph the two functions and find the <u>point of intersection</u>.

From the attached graph, Account Option 1 accrues more until month 32. From month 33, Account Option 2 accrues more in the account.

<h3><u>Conclusion</u></h3>

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice. However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

3 0

2 years ago