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2 years ago

The table shows the relationship between the number of drops of food color added to different number of cups of cake frosting:

Mathematics

2 answers:

stepladder [879]2 years ago

6 0

I'd say that they are all equivalent because when you divided all of them it equals each other.

2:6 = 1/3

3:9 = 1/3

4:12 = 1/3

vitfil [10]2 years ago

6 0

I would say that it would be 1:3 since 4/12= 3 and 9/3=3 and 6/2=3

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Solve for x. I need this ASAP so please help me! -x+7= x-5

sattari [20]

-x + 7 = x - 5
add x to both sides of the equation
7 = 2x - 5
add 5 to both sides of the equation
12 = 2x
divide 2 from both sides of the equation
6 = x

8 0

2 years ago

Read 2 more answers

What is the value of x and the length of segment DE?

Mandarinka [93]

Answer:

Part 1) $x=6.6\ units$

Part 2) $DE=16.2\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

$CD/FD=FD/DE$

$\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units$

Part 2) Find the length of DE

$DE=2x+3$

substitute the value of x

$DE=2(6.6)+3=16.2\ units$

8 0

2 years ago

Read 2 more answers

Use the X method to find the solutions of 6x2 + 2x – 20 = 0.

Keith_Richards [23]

Answer:Hopes this helps!

6x²+2x-20=0

==>6x²+12x-10x-20=0

==>6x(x+2)-10(x+2)=0

==>(x+2)(6x-10)=0

==>x=-2 or x=5/3

5 0

3 years ago

Read 2 more answers

There is 0.162 liter of water in a 1-liter bottle. How much more water should be put in the bottle so it contains exactly 1 lite

Dmitry [639]

Answer: 0.838 is the answer to this problem

Because 1.000 - .162= 0.838

3 0

3 years ago

Prove algebraically that 0.5 recurring = 5/9

weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = $\frac{5}{9}$

5 0

2 years ago