(5-√x)² = y-20√2
Solve for x and y.

Answer:

2 1/4

Step-by-step explanation:

The amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

[tex]S = 2(a\times b + b\times c + c\times a)[/tex]

A box is usually in shape of a cuboid.

For this case, its dimensions are 10 inches, 10 inches, and 6 inches.

The amount of wrapper we need is approx same as the area of its surface (assuming we're going to measure the paper needed in terms of its area).

Thus, we get:

Amount of the paper we need to wrap the considered box = surface area of that box = surface area of cuboid of dimension 10 inch by 10 inch by 6 inches = S (say), then:

[tex]S = 2(10\times 10+ 10\times 6 + 6\times 10)\\S = 440[/tex](in sq. inches)

Thus, the amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches

Learn more about surface area of cuboid here:

https://brainly.com/question/13522634

Answer:

35 I think I hope it is correct

Answer:

-28

Step-by-step explanation:

Since the first number is 10 and they say and the equation said two numbers sum - 18 therefore 10 + x equals to -18

=> 10 + x = -18

now to find the second number collect like terms make x the subject of formula

=> x = -18 -10

substract -18 from -10

x = -28

-28 is your final answer

good luck with your assignment and enjoy

Answer:

Explanation:

C ∝ √y

C = k√y

If C = 12.8, y = 16

12.8 = k√16

12.8 = k(4)

k = 3.2

So the expression:

C = 3.2√y

solve for C when y = 400

C  = 3.2(√400)

C = 3.2(20)

C = 64

The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,

[tex]C\propto \sqrt{y}[/tex]

Let k is the proportionality constant. Thus, the equation can be rewritten as,

[tex]C=k \sqrt{y}[/tex]

Here, the value of  C is 12.8 and the value of y is 16. Put these values in the above equation as,

[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]

Thus, the value of constant is 3.2.

The value of constant is 3.2. Thus, the expression for C in terms of y is given as,

[tex]C=3.2\sqrt{y}[/tex]

Put the value of y =400 in the above expression.

[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]

Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Learn more about directly proportional relationship here:

https://brainly.com/question/13082482

Answer:

computer = $726

printer = $363

Answer:

a) 4.75g + 5.15c

b) $83.40

Step-by-step explanation:

Gasoline = $4.75 per gallon

Oil = $5.15 per can

Let g = number of gallons

Let c = number of cans

a) Total spend = 4.75g + 5.15c

b) Given:

⇒ total spend = 4.75(7.8) + 5.15(9)

                       = 37.05 + 46.35

                        = $83.40

Answer:

(6,1)

Step-by-step explanation:

Moving down is associated with y coordinate.

[tex][Hello,BrainlyUser][/tex]

Answer/Step-by-step explanation:

38) 1/2 ÷ 5 = 1/10

39) 1 3/5 ÷ 3/5 = 2 2/3

40) 2 1/8 ÷ 1 /4 =8 1/2

41) 2/3 ÷ 2 1/3 =2/7

42) 5/6 ÷ 1 1 /4 = 2/3

[CloudBreeze]

Answer:

[38] 1/10

[39] 2 2/3

[40] 8 1/2

[41] 2/7

[42] 2/3

Step-by-step explanation:

Dividing Fractions Formula:

[tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}=\frac{a * b}{b*c}[/tex]

=================================================================

[38]  [tex]\frac{1*1}{2*5}=\frac{1}{10}[/tex]

----------------------------------------------------------------------------------------------------------

[39] [tex]\frac{8*5}{5*3}=\frac{40}{15}=2\frac{2}{3}[/tex]

----------------------------------------------------------------------------------------------------------

[40] [tex]\frac{17*4}{8*1}=\frac{68}{8}=8\frac{1}{2}[/tex]

----------------------------------------------------------------------------------------------------------

[41] [tex]\frac{2*3}{3*7}=\frac{6}{21}=\frac{2}{7}[/tex]

----------------------------------------------------------------------------------------------------------

[42] [tex]\frac{5*4}{6*5}=\frac{20}{3}=\frac{2}{3}[/tex]

----------------------------------------------------------------------------------------------------------

[RevyBreeze]

Answer:

x = 10

Step-by-step explanation:

First distribute the 2 into the parentheses

2x+20 = 4x

20 = 2x

x = 10

Step-by-step explanation:

the area of a rectangle is

length × width.

our job here is to find all integer values for length and width, so that their product is 90.

that means that length and width are both factors of 90.

the factors of 90 are

1 × 90

2 × 45

3 × 30

5 × 18

6 × 15

9 × 10

10 × 9

15 × 6

18 × 5

30 × 3

45 × 2

90 × 1

the prime number grouping

is

2 45 (can't be divided by 2 anymore, so,

next prime factor)

3 15

3 5 (can't be divided by 3 anymore, so

next prime factor)

5 1 (the end)

so, besides 1 and these prime factors, the only other factors are combinations of these prime factors :

2×3 = 6

2×5 = 10

3×3 = 9

3×5 = 15

2×3×3 = 18

2×5×3 = 30

3×5×3 = 45

Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the score is different, that is:

[tex]H_1: \mu \neq 50[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, we have that:

[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].

Hence:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]

[tex]z = 2.53[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]

Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

a

Step-by-step explanation:

if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)

Answer:

465.31

Step-by-step explanation:

475.29 - Percentage decrease =

475.29 - (2.1% × 475.29) =

475.29 - 2.1% × 475.29 =

(1 - 2.1%) × 475.29 =

(100% - 2.1%) × 475.29 =

97.9% × 475.29 =

97.9 ÷ 100 × 475.29 =

97.9 × 475.29 ÷ 100 =

46,530.891 ÷ 100 =

465.30891 ≈

465.31

Answer:

y - intercept = - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

19x - 13y = 26 ( subtract 19x from both sides )

- 13y = - 19x + 26 ( divide terms by - 13 )

y = [tex]\frac{19}{13}[/tex] x - 2 ← in slope- intercept form

with y- intercept c = - 2

The y-intercept of the line equation 19x - 13y = 26 is 2.

Given that, the y-intercept of the line 19x - 13y = 26.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation can be written in standard form as

13y=19x-26

⇒ y=19/13 x-26/13

⇒ y=19/13 x-2

So, y-intercept =2

Therefore, the y-intercept of the line equation 19x - 13y = 26 is 2.

To learn more about the y-intercept visit:

https://brainly.com/question/14180189.

#SPJ2

Answer:

30

x+x+60+60=180( sum of angles in a triangle)

2x=60

x=30

Answer:

$58,000

Step-by-step explanation:

because i multiplied 2000 with 11 and got 22,000 and then i added that to the 36,000 and got 58,000 hope this helps

Answer:

.............................

Answer:

( x - 1 ) × ( x + 1 ) × ( x^2 - 10)

Step-by-step explanation:

x^4 - 11x^2 + 10

x^4 - x^2 - 10x^2 + 10

x^2 × ( x^2 - 1 ) - 10( x^2 - 1 )

( x^2 - 1 ) × ( x^2 - 10 )

( x - 1 ) × ( x + 1 ) × ( x^2 - 10)

Answer:

In order:

[tex]\frac{16}{k^2}[/tex]

[tex]180c^{17}d^7[/tex]

[tex]-\frac{27y^4}{x^2}[/tex]

Step-by-step explanation:

[tex]48k^5/3k^7\\\\\frac{48k^5}{3k^7} \\\\\frac{16}{k^{7-5}} \\\\\frac{16}{k^2}[/tex]

[tex]12c^7d^4*15c^{10}d^3\\\\12*15c^{7+10}d^{4+3}\\\\180c^{17}d^7[/tex]

[tex](-xy)^4 *(-3x^{-2})^3\\\\x^4y^4*(-3x^{-2})^3\\\\x^4y^4*-27x^{-6}\\\\-27x^{-6+4}y^4\\\\-27x^{-2}y^4\\\\-27*\frac{1}{x^2} *y^4\\\\-\frac{27y^4}{x^2}[/tex]

Hope this helps!

Answer:

756cm

Step-by-step explanation:

[tex]12 \times 7 \times 9 = 756[/tex]

Because length times height times width

Is the best way to solve Parallelogram

Answer:

631

thx for points

Step-by-step explanation:

The reciprocal of 3=

[tex] \frac{1}{3} [/tex]

The reciprocal of ⅔ =

[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to find the reciprocal of a number, all we should do is flop the number over.

Sounds easy, right? Let's find the reciprocal of 3.

What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].

We found the reciprocal of 3. :)

Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].

Let's flop it over:

[tex]\displaystyle\frac{3}{2}[/tex]

Hope you could understand everything.

#CarryOnLearning

Step-by-step explanation:

D it's the biggest target on the chart

Answer:

0.75

or 3/4ths

Step-by-step explanation:

Answer: the answer is 0.75 .

Step-by-step explanation: you are dividing a small dividedivided by a big number so the 3 Is divided into 4 parts so as a decimal it is 0.75 and as a fraction it is 75 over 100 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

504

Step-by-step explanation:

you can add all of them then times that by six to get 504 as your answer

Hope this helped.

A brainliest is always appreciated.

Answer:

A : 45

B : 22.5

second page is 4.5

third page is is 25.5

fourth page is 62.5

Answer:

25% of £90 = £22.50

25% of £18 = £4.50

85% of 30 = £25.50

15% of £24 = £3.60

Step-by-step explanation:

For some of the answers, I can see you've got the digits correct, but it is important that you add the 0 for the .5 since it is in money terms. e.g. not 4.5, but £4.50.

With percentages, it is useful to break them down into easier percentages to solve. For example, instead of thinking of 15%, think of 10% + 5%. Finding 10% of a number is easy - divide it by 10. So 10% of 24 would be 2.4. And 5% of 24 is just 10% divided by 2, because 10 divided by 2 is 5. So 5% of 24 is 2.4 divided by 2, so 5% of 24 = 1.2

10% + 5% = 15% = 2.4 + 1.2 = 3.6

And because it is in money terms, we need to add the 0, to make it:

£3.60.

If you need further explanation, please let me know! And if you found this most useful, a brainliest would be appreciated :)

- profparis

Answer:

D

the scatter diagram shows a slightly decreasing trend

[tex]\longrightarrow \sf \$ \: 307.2[/tex]

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

[tex]\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}[/tex]

[tex]\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered} [/tex]

Now,

[tex]\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5[/tex]

[tex] \sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5[/tex]

[tex]\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2[/tex]

[tex]\leadsto[/tex]Thus it would cost $ 307.2 to paint the entire cubical block.