MATHEMATICS HIGH SCHOOL

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

Answers

Answer 1

Answer: 4(x+x+7)-2x+8-4 X=1
4(1+1+7) -2(1) +8-4
4(9)+2
38

4(x+x+7)-2x+8-4 X=2
4(2+2+7) -2(2)+4
4(11)-4+4
44

Answer 2

Answer:

Answer:

Step-by-step explanation:

So if we do 4(x+x+7)-2x+8-4 X=1

then 4(1+1+7) -2(1) +8-4

and 4(9)+2

it would be 38

then if we do 4(x+x+7)-2x+8-4 X=2

and 4(2+2+7) -2(2)+4

also 4(11)-4+4 it would be 44

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A set of equations is given below:Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations?

2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:

c = 2d + 1
c = 3d + 5
__________
c = c
2d + 1 = 3d + 5
2d - 3d = 5 - 1
- d = 4
d = -4

The correct result would be 2d + 1 = 3d + 5.

Answer:

2d + 1 = 3d + 5

Step-by-step explanation:

(12.8)2 - (30+0.375)

Answers

Answer:

-4.775

Step-by-step explanation:

The shadow of a 100 m long vertical pole isof 10 m. Then what will be the angle of
inclination? Round your answer to the
nearest tenth of a degree.

Answers

Answer: 50 m?? i think. i may be wrong.

Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters (ml) of fruit punch. The amount of orange juice combined was x ml. The amount of pineapple juice combined was 100 ml more than the amount of orange juice, and the amount of strawberry juice was half the amount of orange juice. This is represented in the equation below:x + (x + 100) + one half x = 1850

What was the difference in the amounts of pineapple juice and strawberry juice Martin combined?

Answers

The answer is 450 ml.

First, we need to solve x (the amount of orange juice):
x + (x + 100) + one half x = 1850
x + x + 100 + 1/2 x = 1850

We can represent 1/2 as 0.5:

2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.

Thus, in the fruit punch, there is 700 ml of orange juice.

The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).

The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).

The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - 350 ml of strawberry juice = 450 ml.

Answer:

450 ml

Step-by-step explanation:

450ml we have and then we can plug into equation if Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters and we divide and get 450 ml

graph the complex number in the complex plane calculate the modulus when message round to the nearest tenths place 5-3I

Answers

The complex number 5-3i is plotted on the complex plane at point (5,-3). The modulus of this complex number is approximately 5.8.

Complex numbers are mathematical entities that extend real numbers to include imaginary components, represented as "a + bi," where 'a' and 'b' are real numbers and 'i' is the imaginary unit (equal to the square root of -1). Complex numbers are used in various fields, including engineering and physics, to describe phenomena involving oscillations, electrical circuits, and quantum mechanics. They are vital for solving equations that have no real solutions and play a fundamental role in understanding complex systems and mathematical analysis, making them a valuable tool in science and engineering.

To graph the complex number 5-3i in the complex plane, you need to plot the point (5,-3). On the horizontal axis (real axis) you mark 5 and on the vertical axis (imaginary axis) you mark -3.

The modulus of a complex number a + bi is the square root of (a2 + b2). In this case, the modulus would be sqrt((5)2 + (-3)2) = sqrt(25 + 9) = sqrt(34), which is approximately 5.8 when rounded to the nearest tenth.

Learn more about Complex Numbers here:

brainly.com/question/33170548

#SPJ2

it would be 30 bc 5-31=26=30

A machine in a soft drink bottling factory caps 3 bottles per second. How many bottles can it cap in 15 hours?

Answers

so 3 bottles per second so in 1 second it produces 3 times 1=3 bottles in 2 seconds it produces 2 times 3=6 bottles in x seconds, it produces 3x bottles so

15 hours
1 hour=60 minutes
1 minute=60 seconds
1 hour=60 (60 seconds)=60 times 60 seconds=3600 seconds
15 hours=15 times 3600=54000 seconds
so insert/subsitute
number of bottles=3x
in 15 hours=3 times 54000=162000

162,000 bottles in 15 hours

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