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2 years ago

Calculate x you must include the steps in your solution and the definitions and/or conjecture that u use

Mathematics

1 answer:

Andreas93 [3]2 years ago

4 0

Answer:

x = 40

Step-by-step explanation:

$(3x - 10) \degree = (2x + 30) \degree \\ (vertical \: \angle s) \\ \\ \\ 3x - 10 = 2x + 30 \\ \\ 3x - 2x = 30 + 10 \\ \\ x = 40$

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A-2=-1 + 2a-4-1 send me the work please! (solving equations with variables on both sides)

Vladimir [108]

The value of "a" is 4

Solution:

Given expression is:

$a - 2 = -1 + 2a - 4-1$

The above expression involves variables and constants

A variable is a symbol that represents an unknown number

Here the variable is "a"

Constants are fixed numbers like 1, 2 etc

From given expression:

$a - 2 = -1 + 2a - 4-1$

Move the varibale "2a" from right side to left side of equation

When, 2a is moved from R.H.S to L.H.S, it becomes -2a

$a -2a - 2 = -1 -4-1$

Now move the constant -2 from left side to right side of equation

Similarly, when -2 is moved from L.H.S to R.H.S, it becomes +2

$a-2a = -1-4-1+2$

Now add the variables on left side of equation

$-a = -1-4-1+2$

Now add the constants on right side of equation

$-a = -6+2\\\\-a = -4$

Cancel the negative sign on both sides of equation

$a=4$

Thus the value of "a" is 4

6 0

2 years ago

Use the graph of the floor function to complete the statements. Over the interval , y = 2. For an input value of –1.5, the corre

nata0808 [166]

Answer:

over the interval [2,3)

for an input value of 1.5, the corresponding output value is -2

Step-by-step explanation:

3 0

2 years ago

Evaluate the function.

Nimfa-mama [501]

Answer:

-12

Step-by-step explanation:

f ( x) = 2 x 2 + 8 x

Find f(−1)

replace x by its value which is -1

so:

f ( x) = 2 x 2 + 8 x

f ( -1) = 2 (-1)*2 + 8 (-1)

f(-1)= -2*2 + (-8)

f(-1)= -4 -8

f(-1)= -12

7 0

2 years ago

A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long wil

melisa1 [442]

Distance<-------------300--------------><-------------------x----------------->
⊕---------------------------------⊕--------------------------------------⊕ Express Freight Overtaking point
Speed 55 speed 30

Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:

Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:

Time (freight) = x/30 and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;

55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.

4 0

2 years ago

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The height of the water in a tank decreases 3 inches each week due to evaporation and every two weeks a man adds 5 inches of wat

atroni [7]

75

Reduction of 12
3 x 4 = 12

Increase of 10
5 x 2 = 10

75 - 12 = 63
63 + 10 = 73

Change = 2 inches (75 - 73)

7 0

1 year ago

Read 2 more answers