On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 3/4 when a = -2 3/4. Which equation represents this direct variation between a and b?O b=-a
O-b = -a. O b-a=0
Ob(-a) = 0

Answers

Answer 1

Answer: The answer of this question is C
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Help pleeeaaseWhat is the best approximation of the solution to the system to the nearest integer values?

A.
(1, 3)

B.
(3, 2)

C.
(2, 3)

D.
(3, 4)

Answers

C. (2,3) The solution to the system of equations is where the two lines will intersect. looking at the graph that point is closest to C. (2,3)

5x + 2y = 16 ⇒ 5x + 2y = 16
x + 3y = 12 ⇒ 5x + 15y = 180
      -13y = -164
       -13 -13
   y = 12 8/13
       5x + 2(12 8/13) = 16
   5x + 25 3/13 = 16
      -25 3/13   -25 3/13
   5x = -9 3/13
      5 5
   x = -1 11/13
   (x, y) = (-1 11/13, 12 8/13)
B. (3, 2)

Teacher:Find the Slope and Y-interce
1)
x + 4y = 32
slope =
y-intercept =

Answers

Answer:

Slope = -1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = -x + 32

4y = -x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = -x/4 + 32/4

y = -x/4 + 8

y = (-1/4)x + 8

This equation corresponds to

y = mx + c

m = -1/4

c = 8

Therefore, the slope, m = -1/4

The y-intercept, c = 8

Slope m= -1/4
Intercept c=8

Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the shelter building as shown. They plan to spend between $100 and $200 on fencing for the sides at a cost of $2.50 per ft. Write and solve a compound inequality to model the possible length of the dog run.

Answers

Answer:

20 ≤ L + W ≤ 40

Step-by-step explanation:

[answer is marked by ** symbol]

The perimeter (P) of a rectangle is given by the formula:

P = 2L + 2W

In this case, you want to spend between $100 and $200 on fencing, and the cost is $2.50 per foot. So, you can write the cost equation as:

Cost = 2.50 (2L + 2W)

Now, you want the cost to be between $100 and $200, which leads to a compound inequality:

$100 ≤ 2.50 (2L + 2W) ≤ $200

Now, divide each part of the compound inequality by 2.50 to isolate the expression (2L + 2W):

$100 / 2.50 ≤ 2L + 2W ≤ $200 / 2.50

40 ≤ 2L + 2W ≤ 80

Now, divide each part by 2 to find L + W:

**20 ≤ L + W ≤ 40

**This compound inequality models the possible length of the dog run. It states that the length plus the width of the dog run must be between 20 feet and 40 feet to stay within the budget of $100 to $200 for fencing.

Answer
Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥
200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet

Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet
The inequality:
100 ≤ 2.50× ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 < 2.50× ≥ 200
divide the inequality into 2
100 < 2.50x
× ≤ 100/2.5
× ≤40
the other part:
2.50x ≥ 200
× ≥ 200/2.50
× ≥ 80
Therefore,
the possible length of the dog leash is 80

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)

A. (–4, –1)

B. (–4, 0)

C. (–4, 1)

D. (–4, 2)

Answers

Start with two vertex points from one side of the rectangle:
(4, 0) and (2, -3).
Subtract the X coordinates: 4 - 2 = 2
Subtract the Y coordinates: 0 - -3 = 3
Now, start with the third vertex point that is given:
(-2,4).
The differences for the X & Y coordinates between the third vertex point and the fourth vertex point will be the same as the differences between the 1st and 2nd points, so start with the 3rd point X coordinate and subtract 2 from it to get the X coordinate for the fourth point:
-2 - 2 = -4.
Then, take the 3rd point Y coordinate and subtract 4 to get the Y coordinate for the fourth point:
4 - 3 = 1
So, your fourth vertex point is (-4, 1).
See the attached picture.
This works because each of the two sets of sides of a rectangle are parallel to each other.

A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed? a) 20

b) 30

c) 50

d) 100

Answers

C) 50

Because 40%+40%=80%=20+20=40 100%-80%=20%=10

Answer:

Step-by-step explanation:

Simple interest worksheet

Answers

Simple interest formula:

$I=prt$

where $I$ =interest, $p$ =principal (how much you put in at first), $r$ =rate as a decimal, and $t$ =number of years.

Let's plug in what we're given.

$I=350*0.05*4$

Calculate it out...

$\boxed{I=70}$

The interest earned is $70.00.

Answer:

70.00

Step-by-step explanation:

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