Simplify the following expression 5(3x + 7)

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 = AC^2 + 441 + x^2 - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

This is an equilateral triangle, which means all the sides are equal.

Hence, all three angles are the same.

[tex]3x=\frac{180}{3}[/tex]

[tex]3x=60[/tex]

Therefore,

[tex]x=20[/tex]

Answer:

20

Step-by-step explanation:

3x+3x+60= 180

6x= 180-60

6x= 120

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Answer:

5

Reasoning

[tex]Diameter=2*radius[/tex]

Answer:

5

Step-by-step explanation:

the radius is always half of the diameter

Answer:

y-intercept: 3/7

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = 6x + 3/7

Now, let's compare:

y = mx + b = y = 6x + 3/7

We can tell that the y intercept is b, which is 3/7

Hoped this helped.

Answer:

y-intercept: 3/7

Step-by-step explanation:

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

Answer:

sorry I cannot understand that

Answer: What do you mean? if you till me i can help you

Step-by-step explanation:

Answer:

850 this what I think it is

Step-by-step explanation:

that's what I think I don't know if that's the right answer

Answer:

8.5

Step-by-step explanation:

divide 10 by 10 to get to 1

divide 85 by 10 and u get 8.5

1=8.5

Answer:

#8= B

#6= C

#7= D

#9= C

#10= A

Step-by-step explanation:

[First one, aka #8] c

- subtract 7x from both sides

- divide by 5

- slope is m is y = mx + b

[Second one, aka #7] is d

- subtract 2x from both sides

- divide by 5

- find the negative reciprocal

[Third one, aka #6] is c

- will have a slope of 2 since it is parallel

- plug the point into y = 2x + b and solve for b

[Fourth one, aka #9] is a

- change in d over change in c

- 29 - 20 / 6 - 0 = 9/6 = 3/2

[Fifth one, aka #10] is b

- I created the system:

2h + m = 2.85

3h + 2m = 4.45

- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

x=9

Step-by-step explanation:

Expand bracket

6x-18=36

Bring -18 to other side

6x=36+18

Add them

6x=54

Bring 6 to other side

x=54/6

Divide them

x=9

Based on the area of the field and the width as well, the length is most likely 123 feet.

The area of the cornfield is calculated as:

= Length x Width

You have the width so you can substitute it in the equation to find the length:

6,396 = Length x 52

Solving would give:

Length = 6,396 / 52

= 123 feet

In conclusion, the length is 123 feet.

Find out more at https://brainly.com/question/20183786.

Answer:

(25-16)/9=

=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)

[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]

Answer:

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

3. This is fairly straight-forward the denominators already match so just subtract the numerators

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

6. For this we will use another LCD.

Answer:

The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.

x - 3 ≥ - 5

Add 3 on both sides of the inequality.

x ≥ -2

x is any number greater than or equal to -2.

If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.

These terms are important to understand when working with inequalities.

The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The phrase is,

"A number n minus 3.5 is less than or equal to 4."

Now it can be written in inequality form as,

(n - 3.5) ≤ 4

Therefore, the inequality is,

(n - 3.5) ≤ 4

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ3

Answer:

For the second one would be 36°

Answer:

.88 Euro

Step-by-step explanation:

One U.S. dollar is equivalent to .88 Euro. Have a nice day!

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.

In the system of equations, I am going to say that:

x is the number of dimes.

y is the number of nickels.

z is the number of pennies.

---------------------

Two more nickels than dimes, thus:

Three times as many pennies as nickels, thus:

---------------------

A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:

Solving for x:

---------------------

Solving for y and z:

He has 2 dimes, 5 nickels and 12 pennies.

Answer:

x=79 degrees y=22degrees

Step-by-step explanation:

you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees

Answer:2 4  −  1 8

Step-by-step explanation: