All categories

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

You might be interested in

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has

Bas_tet [7]

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

3 0

3 years ago

What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

Find the mean absolute deviation

pantera1 [17]

First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28

6 0

3 years ago

Read 2 more answers

PLEASE SOMEONE HELP ME QUICKLY!!!!!!

Nastasia [14]

Hi, TRUEBOSS72!

The answer to your question I believe is $t(x) = 309.125^{x}$

-ASIAX ∵<span>Frequent Answerer</span>∴

P.S. If I am wrong about it please let me know.

3 0

3 years ago

Sara bought 3 sweaters and 5 hats. The sweaters cost $15 each and the hats cost $5 each. Write an equation to show the total cos

kotegsom [21]

So five times five is twenty five. Then do three times fifteen which is forty five. 25+45=70

7 0

3 years ago

Read 2 more answers