Square root of 13 in simplest radical form

Savatey [412]

Simplify \frac{21}{2}x
2

21
x to \frac{21x}{2}
2

21x

\frac{21x}{2}-\frac{3}{4}(2x+5)=\frac{3}{8}
2

21x
−
4

3
(2x+5)=
8

3

2 Simplify \frac{3}{4}(2x+5)
4

3
(2x+5) to \frac{3(2x+5)}{4}
4

3(2x+5)

\frac{21x}{2}-\frac{3(2x+5)}{4}=\frac{3}{8}
2

21x
−
4

3(2x+5)
=
8

3

3 Multiply both sides by 44 (the LCM of 2, 42,4)
42x-3(2x+5)=\frac{3}{2}42x−3(2x+5)=
2

3

4 Expand
42x-6x-15=\frac{3}{2}42x−6x−15=
2

3

5 Simplify 42x-6x-1542x−6x−15 to 36x-1536x−15
36x-15=\frac{3}{2}36x−15=
2

3

6 Add 1515 to both sides
36x=\frac{3}{2}+1536x=
2

3
+15

7 Simplify \frac{3}{2}+15
2

3
+15 to \frac{33}{2}
2

33

36x=\frac{33}{2}36x=
2

33

8 Divide both sides by 3636
x=\frac{\frac{33}{2}}{36}x=
36

2

33

9 Simplify \frac{\frac{33}{2}}{36}
36

2

33

to \frac{33}{2\times 36}
2×36

33

x=\frac{33}{2\times 36}x=
2×36

33

10 Simplify 2\times 362×36 to 7272
x=\frac{33}{72}x=
72

33

11 Simplify \frac{33}{72}
72

33
to \frac{11}{24}
24

11

x=\frac{11}{24}x=
24

11

X=11 over 24

4 0

3 years ago

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Sofia's parents gave her an allowance for summer camp of $125.if she is going to be at camp for 6 weeks,what is the most she can

professor190 [17]

Sofia can spend at most $20.83 each week.

Step-by-step explanation:

Given,

Amount of given by Sofia's parent = $125

Number of weeks = 6

Let,

x represent the amount that Sofia can spend each week.

As Sofia has $125, therefore, she can spend maximum $125 or less than that.

$6x\leq 125$

Dividing both sides by 6

$\frac{6x}{6}\leq \frac{125}{6}\\x\leq 20.83$

Sofia can spend at most $20.83 each week.

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

8 0

3 years ago

An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?

kap26 [50]

Answer:

70.7 deg, 19.3 deg

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

5 0

3 years ago

"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s

statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let X = number of consumer's who recognize the brand.

The probability of the random variable X is, P (X) = p = 0.40.

A random sample of size, n = 6 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X = 5) as follows:

$P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369$

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

$P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041$

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

= 0.0369 + 0.0041

= 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0

4 years ago

Evaluate the expression. -{-16.9 + 10} PLZ HELP

DaniilM [7]

$Solution, -\left\{-16.9+10\right\}=6.9$

$Steps:$

$\mathrm{Add/Subtract\:the\:numbers:}\:-16.9+10=-6.9, =-\left(-6.9\right)$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a, =6.9$

The correct answer is 6.9

Hope this helps!!!

4 0

3 years ago

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