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3 years ago

The unit rate of 27 and 12

Mathematics

1 answer:

ANTONII [103]3 years ago

7 0

3 is the unit rate of 27 and 12

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Which number should each side of the equation 3/4 = 9 be multiplied by to produce the equivalent equation of x = 12?

Tema [17]

You need to multiply both sides of the equation by the reciprocal of 3/4. The reciprocal is 4/3 and 4/3 multiplied by 9 = 12. So x = 12 because a number times the reciprocal is one.

6 0

3 years ago

Read 2 more answers

Solve the following equations.<br> √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

5 0

2 years ago

What are the domain and range of the function

andrew11 [14]

Answer: The answer should be the 2nd one

Step-by-step explanation:

7 0

1 year ago

Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She pai

skad [1K]

Answer: 19 months

Step-by-step explanation:

given data:

amount paid initially when joining the club = $50.

monthly payments made = $10.

total amount paid since joining the club = $240.

Solution:

= 10X + 50 = 240

collect like terms

= 10X = 240 – 50

10X = 190

divide both sides by 10

10X/10 = 190/10

X = 19

isabella has been a member of the club for 19 months.

7 0

3 years ago

Help me please, need this done now.

Nikolay [14]

simplifying $\frac{\sqrt{4}}{\sqrt[3]{4}}$ we get $4^{\frac{1}{6}}$

Option B is correct.

Step-by-step explanation:

We need to simplify: $\frac{\sqrt{4}}{\sqrt[3]{4}}$

Solving:

$\frac{\sqrt{4}}{\sqrt[3]{4}}$

We know that √ = 1/2 and ∛=1/3

$\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}$

Applying exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}$

So, simplifying $\frac{\sqrt{4}}{\sqrt[3]{4}}$ we get $4^{\frac{1}{6}}$

Option B is correct.

Keywords: Solving Exponents

Learn more about Solving Exponents at:

#learnwithBrainly

6 0

3 years ago