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3 years ago

Which value satisfies the inequality 3x+10-2x<-4x+45

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

First to answer

Answer:

x<7

Step By Step Answering:

Step 1: Simplify both sides of the inequality.

x+10<−4x+45

Step 2: Add 4x to both sides.

x+10+4x<−4x+45+4x

5x+10<45

Step 3: Subtract 10 from both sides.

5x+10−10<45−10

5x<35

Step 4: Divide both sides by 5.

5x/5<35/5

x<7

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The length of a board is 30.75 inches. Bradley cut the board into 3 smaller pieces that were all the same length. Which expressi

Harman [31]

Answer:

The length of each smaller piece, l=L/n inches

Step-by-step explanation:

This can be expressed as;

Total length=Length per piece×number of pieces

where;

The total length=L

length per piece=l

number of pieces=n

Substituting in the equation;

L=l×n

To get the length of each smaller piece;

l=L/n inches

solving;

l=30.75/3=10.25 inches

5 0

3 years ago

If point A is located at (-3,-1) and there are 10 points between A and B, what could be the possible coordinates for point B?

Nataly [62]

Answer:

Step-by-step explanation:

By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down .

1. MOVING TO THE RIGHT:

From point A, move 11 units horizontally to the right to come to point B:

(-3+11, -1) = (8, -1)

2. MOVING TO THE LEFT:

From point A, move 11 units horizontally to the left to come to point B:

(-3-11, -1) = (-14, -1)

3. MOVING UPWARD:

From point A, move 11 units vertically upward to come to point B:

(-3, -1+11) = (-3, 10)

4. MOVING DOWNWARD:

From point A, move 11 units vertically downward to come to point B:

(-3, -1-11) = (-3, -12)

So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.

7 0

3 years ago

Please help, multiple choice

Misha Larkins [42]

Answer:

$x=25$

Step-by-step explanation:

If the figures are similar, then the angles are the same. So that means that angle H is equal to angle D (you can count he little arcs in the angle to find it's matching partner). Since this is true:

$4x=100$