Which transformation of AB will produce a line segment A’B that is parallel to AB

Answer:

The answer is c. 8x

9514 1404 393

Answer:

Step-by-step explanation:

Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...

  a + b + c = 108 . . . . . total number of liters

  .20a +.35b +.55c = 0.40·108 . . . . . liters of acid

  0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution

__

Solving these three equations by your favorite method gives ...

  (a, b, c) = (36, 18, 54)

The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.

_____

Comment on alternate approach

Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...

  (3(.55) +1(.35))/4 = 0.50 = 50%

So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.

Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.

__

* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...

  x(50%) +(1 -x)(20%) = 40%

  x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x

  x = (40% -20%)/(50% -20%)

The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.

Answer: A im positive its A

Step-by-step explanation: 3 times 2 equals 6 and add that to 3 times 4 which is 12 and you get 18

Answer:

Step-by-step explanation:

3(x + 1) − (3x + 2)

we will expand the first bracket:

3x+3-3x-2

3x and -3x cancels

3-2=1

Answer:

1

Step-by-step explanation:

3x+3+−3x+−2

=(3x+−3x)+(3+−2)

=1

Answer:

Option (4)

Step-by-step explanation:

STEP - 1

cos(x + y)

STEP - 2

[tex]\text{sin}[\frac{\pi}{2}-(x+y)][/tex]

STEP - 3

[tex]\text{sin}[(\frac{\pi}{2}-x)-y][/tex]

STEP - 4

[tex]\text{sin}(\frac{\pi}{2}-x)\text{cos}(-y)+\text{cos}(\frac{\pi}{2}-x)\text{sin}(-y)[/tex]

STEP - 5

cos(x)cos(y) - sin(x)sin(y)

[Since, [tex]\text{sin}(\frac{\pi}{2}-x)=cos(x)[/tex] and [tex]\text{cos}(\frac{\pi}{2}-x)=\text{sin}(x)[/tex]]

[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]

Therefore, Option (4) will be the correct option.

Answer:

D

Step-by-step explanation:

Top Answer was right, don't know why it was rated poorly

Answer:

Add three zeros to the end.

Step-by-step explanation:

When you add three zeros, the result is equivalent to when multiplying by 1000. For example, 20 times 1000 is 20,000.

Hi! I believe your answer is 3 zeros. For example, 7 × 1,000 = 7,000 (add 3 zeros). I hope this helps you! Good luck and have a great day/night. ❤️✨

Answer:

2 3

Step-by-step explanation:

Answer:

Tallahassee

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

2x+5x= 105

7x= 105

x= 105/7

x= 15

First part= 2x= 2(15)= 30

Answer: we can’t see graphs but I can help you if you show me them

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9.6x10^4

2. 7.2x10^8

3. 1.19x10^-7

4. 9.48x10^-3

5. 2.04x10^8

Answer:

The ratio 20:30 is not equivalent to 1:2.

Answer:

The old photo frame is still rectangular

Step-by-step explanation:

Rectangles

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

[tex]d^2=a^2+b^2[/tex]

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

[tex]10^2=6^2+8^2[/tex]

[tex]100=36+64[/tex]

[tex]100=100[/tex]

Since the condition is met, the old photo frame is still rectangular

Answer:

13 weeks

Step-by-step explanation:

Let's say the number of weeks she will take is x. This would mean that 4.25 times the number of weeks(x) is equal to 55.25

Equation:

4.25x = 55.25

x=13

Step-by-step explanation:

The answer is the third option

Answer:

The third answer, y = 4x + 1

Step-by-step explanation:

Let's take the pair x = 2, and y = 9.

We know what x is, and what the result, y, is now.

Let's plug x into the third equation, y = 4x + 1

y = 4 * 2 + 1

y = 8 + 1

y = 9

We already know that y = 9, so this equation is correct.

Hope this helps!

(Let me know if you want to know why it's not any of the others.)

Answer:

B.

Step-by-step explanation:

3(4x-2)-30=-6(6-2x)-20

12x-6-30=-36+12x-20

12x-36=12x-56

Answer:

$9

Step-by-step explanation:

divide 45 and 5, you get 9

Answer:

45.00$ divided by 5.00$ is 9.00$

i hoped this helped!

Step-by-step explanation:

Answer:

D inequality sign always open up to a smaller number

Step-by-step explanation:

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{45}{81}[/tex] ( divide numerator and denominator by HCF of 9 )

= [tex]\frac{5}{9}[/tex] ← in simplest form

Answer:

x = 80 degrees

Step-by-step explanation:

A straight line forms 180 degrees in total. It is given that the first angle is 100 degrees. 180 - 100 = 80, therefore x = 80 degrees

Answer:

126.38

Step-by-step explanation:

$135.00-$8.62=$126.38

Answer:

Step-by-step explanation:

6 miles

2 times 3 = 6

or

2 x 3/3 = 6