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Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

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So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

Answer:

1/2x-3

Step-by-step explanation:

First, make the equation 2y+4x=12 into a linear equation(y=mx+b)

2y=-4x+12

y=-2x+6

From this, you know the slope is -2.

The perpendicular of any slope is going to be the negative inverse.

negative inverse: a/b-->-b/a

so basically flip it and make it negative(make it positive if the original is negative).

So, for -2 it would be 1/2

Now right the equation for the perpendicular line.

y=1/2x+b

b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.

To do this replace x and y with 8 and 1

1=1/2(8)+b

1=4+b

b=-3

So you plug that into the equation

y=1/2x-3

Answer: 9/16

18/32 simplified is 9/16

Answer:

9/16

4/8

2/4

Step-by-step explanation:

plz mark brainliest

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

Answer:

it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea

Step-by-step explanation:

yeah the answer is c 8x+36

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.

Answer:

(c) bro for sure i have done this calculation bro

Answer:  C) Segment PR

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Explanation:

Let's find the missing angle R. We'll use the idea that all three angles of any triangle always add to 180

P+Q+R = 180

48+83+R = 180

131+R = 180

R = 180-131

R = 49

Here are the three angles of triangle PQR

The largest angle is Q = 83, so the opposite side PR is the longest side. The longest side of a triangle is always opposite the largest angle.

Answer:

no 10% of 150 is $15

Step-by-step explanation:

100% of 150 is 150

10% is 15

Answer:

x = 6.7128 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

There are x-values which are paired with multiple y-values.

Answer:

x=9

Step-by-step explanation:

1. [tex]\frac{12}{x}[/tex]=[tex]\frac{4}{3}[/tex]

2. 12=[tex]\frac{4}{3}x[/tex]

3. 12=[tex]\frac{4x}{3}[/tex]

4. 12x3=4x

5. 36=4x

6. [tex]\frac{36}{4} =x[/tex]

7. 9=x

8. x=9

The value of x that makes the equation true 12/x = 8/6 is 9

Two or more expressions with an Equal sign is called as Equation.

We need to find the value of x that makes the equation true 12/x = 8/6

The given equation is 12/x=8/6

Twelve divided by x equal to eight by six

Apply cross multiplication

12(6)=8x

72=8x

Divide both sides by 8

x=9

Hence, the value of x that makes the equation true 12/x = 8/6 is 9

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

  [tex]A=300ml[/tex]

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

       [tex]20 \%*100=20milliter[/tex]

Total quantity after addition (100+x)

for DW5% total solution is

          [tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]

          [tex]5\% (100+A) =5+0.05A[/tex]

Mathematically

           [tex]5+0.05A =20[/tex]

           [tex]5+0.05A =20-5[/tex]

           [tex]A=\frac{15}{0.05}[/tex]

           [tex]A=300ml[/tex]

Therefore the required quantity [tex]A=300ml[/tex]

Answer:

16/28

Step-by-step explanation:

Multiply both the denomator and numerator by 4

Answer:

x < y

Step-by-step explanation:

Answer:

1000a+100b+10c+d

Step-by-step explanation:

place value of a =1000×a

place value of b=100×b

place value of c=10c

place value of d=1×d

Final Answer: [tex]7 + 18r[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]7 + 8r + 10r[/tex].

Step 1: Collect like terms.

[tex]7 + (8r + 10r)[/tex]

Step 2: Simplify.

[tex]7 + 18r[/tex]

~I hope I helped you :)~

Answer:

$59.75

Step-by-step explanation:

1065-826=239

239÷4=59.75

Answer:

b

Step-by-step explanation:

Answer:

B and A

is the correct answer

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+10=12x−18

Step 1: Subtract 12x from both sides.

8x+10−12x=12x−18−12x

−4x+10=−18

Step 2: Subtract 10 from both sides.

−4x+10−10=−18−10

−4x=−28

Step 3: Divide both sides by -4.

-4x/-4 = -28/-4

answer: x=7

Answer:

X= 7

Step-by-step explanation:

8x+10 = 12x-18

10= 4x-18

28 = 4x

7 = x

Answer:

Part A

The total surface area of the triangular prism is approximately 1715.793 cm³

Part B

The volume of the triangular prism is 1,476 cm³

Step-by-step explanation:

Part A

The given parameters are;

The shape of the cross-section of triangular prism = Right-angled isosceles triangle

The length of one the of the equal side = 6 cm

The length of the prism = 82 cm

Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm

The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm

The area of the triangular cross section of the triangular prism = 1/2 × Base × Height

∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²

The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³

The total surface area of the triangular prism ≈ 1715.793 cm³

Part B

The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism

∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.

Answer:

x=(3y-11)/5

3(y-2)= 5(x+1) by cross multiplication

5x+5=3y-6

5x=3y-6-5

5x=3y-11

We divide by 5 on both sides

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%