rewrite the radical equation​

Answer:

150

Step-by-step explanation:

15 fail

90 percent pass

15=10 percent

135=90 percent

150

Step-by-step explanation:

90%passed

100%-90%=10% failed

10%=15 students

100%=x students

10x=1500

x=1500/10

x=150 number of students appeared in the exam.

Step-by-step explanation:

The given expression is :

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}=\sqrt5 x+y[/tex] ....(1)

Taking LHS of the above expression

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}[/tex]

Rationalizing both denominator and numerator.

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}\times \dfrac{2-3\sqrt5}{2-3\sqrt5}=\dfrac{4-6\sqrt5-2\sqrt5+15}{2^2-(3\sqrt5)^2}\\\\=\dfrac{19-8\sqrt5}{4-45}\\\\=\dfrac{19-8\sqrt5}{-41}\\\\=\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})[/tex]

Equation (1) becomes,

[tex]\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})=\sqrt 5\ x+y[/tex]

Equating both sides,

[tex]x=\dfrac{8}{41}[/tex] and [tex]y=\dfrac{-19}{41}[/tex]

Hence, this is the required solution.

Answer:

(3)

(4)

Step-by-step explanation:

but I could be wrong

Answer:

4a:3=8:2

so we multiply 4a to 2 equal to 8 times 3

4a×2=8×3

so a=3

Answer:

a = 3

Step-by-step explanation:

Express the ratios in fractional form , that is

[tex]\frac{4a}{3}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )

8a = 24 ( divide both sides by 8 )

a = 3

Answer:

24 slices of pizza were available to be eaten

Step-by-step explanation:

Here, we want to get the number of slices of pizza available to be eaten

From the question;

a slice is 1/6 of a pizza

So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices

In each of the pizzas, there were 6 slices;

So the number of slices in 4 pizzas would be 6 * 4 = 24 slices

So, 24 slices of pizza were available to be eaten by the girls

Answer:

this question is a bit confusing.

Step-by-step explanation:

here's what I think is the answer

9x-6=6x+9

3x=15

x=5

Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

Answer:

116200

Step-by-step explanation:

10x10x10x8.3x14=116200

Sorry if wrong :(

Answer:

[tex]\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right][/tex]

Option D will be your answer

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

ED= 38º EA= 144º BDC= 308º

Step-by-step explanation:

Answer:

Step-by-step explanation:

On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and

sugar Which system of linear inequalities can Hayley use to model this situation where b represents the

number of loaves of banana bread and represents the number of loaves of zucchini bread?

Answer:

The answer is B

Step-by-step explanation: yo mum u dont need one

Answer:

Your answer is b

Step-by-step explanation:

Step-by-step explanation: None

Answer:

c. 2000 meters per hour

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now I can not be 100% sure since I can not see the chart, but I can go off of logic. So let´s get started

First we can eliminate answer B. Answer B does not make ANY sense. Why would the number 3 make a difference.

Now answer A and D. These answers are basically the same. So if one is true, the other is as well. For D, if it were the same number, just negative and positive, the sum would be 0.

So this makes A and D true

Answer C is backed up by answer D as well. They can only be the same distance if one is positive and the other is negative

Answer:

everything is in the picture

Answer:

42

Step-by-step explanation:

Area of parallelogram us 1/2 × bh

1/2 ×14×6

=42

Answer:

C. his conclusion represent correlation and causation

Answer:

The school was open for 240 days

Step-by-step explanation:

216 / x = 90%/100%

216*100= 21,600

21,600/90 = 240

Answer:

[tex]\displaystyle \angle A=30^\circ[/tex]

Step-by-step explanation:

We are given that in Circle O, Arc BAC measures 300°.

Recall that arc lengths will always total 360°. Therefore:

[tex]\stackrel{\frown}{BAC}+\stackrel{\frown}{CB}=360^\circ[/tex]

By substitution:

[tex]300+\stackrel{\frown}{CB}=360[/tex]

Thus:

[tex]\stackrel{\frown}{CB}=60^\circ[/tex]

∠A intercepts Arc CB. Since it is an inscribed angle, it will be half of its intercepted arc. In other words:

[tex]\angle A=\displaystyle \frac{1}{2}\stackrel{\frown}{CB}[/tex]

Therefore:

[tex]\displaystyle \angle A=\frac{1}{2}(60)=30^\circ[/tex]

Answer:

29°

Step-by-step explanation:

:)

Answer:

2(4a - 4b) + 4(3a + 2b) = 20a

Step-by-step explanation:

2(4a - 4b) + 4(3a + 2b)

8a - 8b + 12a + 8b

8a + 12b - 8b + 8b

20a+ 0 = 20a

Thus, 2(4a - 4b) + 4(3a + 2b) = 20a

-TheUnknownScientist

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

Sum of N term (Sₙ) = 292

2nd term (T₂) = 8.5

5th term (T₅) = 13

Number of terms (N) =?

Next, we shall determine the first term (a) and the common difference (d) of the series. This can be obtained as follow:

T₂ = a + d

8.5 = a + d ........ 1

T₅ = a + 4d

13 = a + 4d ........ 2

Subtract equation 1 from equation 2 i.e

(2) – (1)

.. 13 = a + 4d

– 8.5 = a + d

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

4.5 = 3d

Divide both side by 3

d = 4.5 / 3

d = 1.5

Substitute the value of d into any of the equation to obtain the value of a. Here, we shall use equation 1.

8.5 = a + d

d = 1.5

8.5 = a + 1.5

Collect like terms

8.5 – 1.5 = a

a = 7

Finally, we shall determine the number of terms as follow:

Sum of N term (Sₙ) = 292

Common difference (d) = 1.5

First term (a) = 7

Number of terms (N) =?

Sₙ = n/2[2a + (n – 1)d]

292 × 2 = n[(2 × 7) + (n – 1)1.5]

584 = n[14 + 1.5n – 1.5]

584 = n[12.5 + 1.5n]

584 = 12.5n + 1.5n²

Rearrange

1.5n² + 12.5n – 584 = 0

Using formula method, the value of n can be obtained as follow:

a = 1.5

b = 12.5

c = –584

n = –b ± √(b² – 4ac) / 2a

n = –12.5 ± √(12.5² – 4 × 1.5 × –584) / 2 × 1.5

n = –12.5 ± √(156.25 + 3504) / 3

n = –12.5 ± √(3660.25) / 3

n = –12.5 ± 60.5 / 3

n = –12.5 + 60.5 / 3 or –12.5 – 60.5 / 3

n = 4 /3 or –73 / 3

n = 16 or –73 / 3

Since the number of terms can not be negative, therefore, the number of term is 16

Answer:

$13.31

Step-by-step explanation:

blehn  b;eoj

Answer:

$13.31

Step-by-step explanation:

First, take the original price and apply the discount of 20% by converting the percentage into a decimal (0.2)

16 x 0.2

= 3.2

Next, take away that amount from the original price

16 - 3.2

= 12.8

Now calculate the tax with the new price by converting the percentage into a decimal (0.04)

12.8 x 0.04

= 0.512

Finally, add the tax to the new amount

12.8 + 0.512

= 13.312

Round if necessary.

Answer:

Follows are the responses to this question:

Step-by-step explanation:

[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]

0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262

When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].

[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]

In point c:

It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim

In point d:

For point 1:  

The value of p is 0.1880 , that is higher than the 0.05

For point 2:

Yes

Answer:

7/8 pounds

Step-by-step explanation:

pounds collected in a day = number of pounds collected in 8 days / number of days

7/8

Answer:

20 cubic inches

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Given  data

Sales = $8,900

Donated amount=  ​$178

Percentage of donated sales= Donated amount/ Sales*100

Percentage of donated sales= 178/ 8900*100

Percentage of donated sales=0.02*100

Percentage of donated sales=2%

Hence the percentage is 2%

30 hours of vdvdkdjdbdvdkdjevjexhsjshdhevdkddjdjddhdhdbd jdmdjdhdbdjdissksjdjddhdkfjhfdjhddkhddhhdbd bb gun

Step-by-step explanation:

e kuan na dayun

Answer:

370+150+150+100+30=800

Step-by-step explanation: