MATHEMATICS HIGH SCHOOL

Jules wrote the expression below, but the first term got erased. If the expression simplifies to -46x + 18, find the missing term. ___ -4(12x - 5) +2x

Answers

Answer 1

Answer:

The missing term in the simlified expression s -2

Expressions

Expressions are mathematical statements that involve numbers and variables

Represent the missing term in the expression with y.

So, the equation that relates both expressions is:

$-46x + 18 = y - 4(12x -5) + 2x$

Open the bracket

$-46x + 18 = y - 48x +20 + 2x$

Collect like terms

$-46x + 18 = y - 46x +20$

Add 46x to both sides

$18 = y +20$

Subtract 20 from both sides

$y = -2$

Hence, the missing term is -2

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If you are paid $23.25 per hour, what is your annual salary? (Assume you work 40 hours each week of the year.)

Answers

$23.25 per hour
work 40 hours per week
Find your annual Salary
In a month, there are approximately 4 or 5 weeks (only refer to regular working days)
Let’s only use 4.
=> 40 x 4
=>160 hours in 1 month
In a years there are 12months
=> 12 x 4
=> 48 weeks in a years (only for regular working days) or let’s round it to 50 weeks per year
Now, let’s multiply 48 weeks by 40 hours and 50 by 40 hours
=> 48 x 40
=> 1920 hours in a year
=> 50 x 40
=> 2000 hours
Now, let’s find how much is your annual salary
=> 1920 x 23.25 = $44 640
=> 2000 x 23.25 =$46500
=>approximate or around

Answer:GET YALL POINTS

Step-by-step explanation:

PLZZZ HELPPP ME!!!A road map shows the intersections of roads. There are three parallel roads cut by
a fourth road that acts like a transversal.
What is tru
Choose one
If ZEBC mea
ZHEF has th
The sum of th

Answers

Answer:

Step-by-step explanation:

The angle whose sine is 0.39581 is? how do I find the degree?

Answers

When you have a notable result, as 0, 1, 1/2, (√3)/2, you can deduce the angle from your own knnowledge. For example, the angles whose sin is 0 is 0° and 180°.

In cases of not notable sines, like the one of this problem, you need to use a table of trigonometric functions or a calculator with the function arctan (which is the inverse of the tangent, and sometimes written as tan^-1).

With a calculator I found arctan(0.39581) = 29.59°.

Now take in account that the function sine is periodic and this value is repeated when the angle is 180° - 29.59° = 158.41 °.

Answer: 29.59° and 158.41°.

Brew Ha Ha & Tea Co. produces two types of coffee blends: Moring (x) and (y). The Morning Blend has 9 oz of Guatemalan coffee and 7 oz of Brazilian coffee, and the house blend has 6 oz of Guatemalan coffee and 10oz of Brazilian coffee. The company makes $2 in profit from each bag of the morning blend sold and $2.50 in profit from each bag of house blend sold. The company has 400 oz of both the Guatemalan and Brazilian coffees available. This set of inequalities represents the constraints in this situation. 9x + 6y< 400 7x + 10y<400 x > 0 y > 0 The company wants to maximize their profits using the objective function P = 2x + 2.5y What is the maximum profit? there is a chart for vertex and objective function

Answers

From the graph of the constraints, the corner points are: (0, 0), (0, 40), (33.33, 16.67), (44.44, 0)

For the corner points the profits are:
For (0, 0): P = 2(0) + 2.5(0) = 0
For (0, 40): P = 2(0) + 2.5(40) = 0 + 100 = 100
For (33.33, 16.67): P = 2(33.33) + 2.5(16.67) = 66.66 + 41.68 = 108.34
For (44.44, 0): P = 2(44.44) + 2.5(0) = 88.88

Therefore, the maximum profit is $108.34

A taxicab starts at (1, -2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position

Answers

Answer:

The cab is -1/3 west of north.

( from the starting point it goes 1 block to the north and 3 blocks to the west . Cab is at (-2,-1))

Step-by-step explanation:

It is given that:

A taxicab starts at (1, -2) on the grid.

It goes 4 blocks south and 3 blocks east to pick up a passenger.

This implies that the cab will reach at a point (4,-6)

( Since going south means it will go some units down and similarly going east means it will go some units to the right.

Hence, here going 4 blocks south and 3 blocks east means it will go to:

(1,-2) → (1+3,-2-4)=(4,-6) )

Then it goes 6 blocks west and 5 blocks north and drops off the passenger.

This means that the cab will drop the passenger at (-2,-1)

Since going north means it will go some units up and similarly going west means it will go some units to the left.

Hence, here going 6 blocks west and 5 blocks north means it will go to:

(4,-6) → (4-6,-6+5)=(-2,-1) )

Hence, the end point is (-2,-1)

Now the slope of the line joining the starting and the end point is:

i.e. line joining (1,-2) and (-2,-1) is:

$=(-1+2)/(-2-1)\n\n\n=(1)/(-3)\n\n\n=-(1)/(3)$

Hence, the taxicab is -1/3 block west of north.

i.e. from the starting point it goes 1 block to the north and 3 blocks to the west.

i.e. the cab is in west-north direction from the starting point.

Answer:

3 Blocks west, 1 block north

Step-by-step explanation:

During the basketball game, Mika makes 3 baskets worth 2 points each, 2 basket worth 3 point each, and 2 free throws worth 1 point.Write an equation to represent how many points Mika scores