Find the value of x, y and z. Round to the
nearest whole number.

$200/5 lamps= $40 per lamp

Final answer: $40

Using the elimination principle, the cost of one lamp is $16

Let :

3a + 5b = 176 - - - - (1)

5a + 3b = 208 - - - (2)

Multiply (1) by 5 and (2) by 3

15a + 25b = 880 - - - - (3)

15a + 9b = 624 - - - - - (4)

Subtract (3) and (4)

16b = 256

b = (256 ÷ 16)

b = $16

Therefore, the cost of one lamp is $16

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Answer:

It compares two numbers that can represent many of things. For example, people, food & items.

Step-by-step explanation:

Answer:

Its not proportional and not combarable

Answer:

16

Step-by-step explanation:

If the ratio is 3 red marbles to 4 blue marbles we can solve this using the following:

[tex]\frac{12}{b} = \frac{3}{4}[/tex]

[tex]12 * 4 = 3b\\48 = 3b\\\frac{48}{3} = b\\b = 16[/tex]

So we have 16 blue marbles.

Based on the ratio of red to blue marbles, the number of blue marbles in the bag is 16 marbles.

The bag has red marbles to blue marbles in a ratio of 3:4.

If there are 12 red marbles, the number of blue marbles can be found by direct proportion:

3   :   4

12  :   x

Cross-multiply:

3x  = 48

x = 48/3

x = 16 blue marbles

In conclusion, there are 16 blue marbles in the bag.

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p = 27

r = 0

p(1+r3) = 27

27(1+0(3)) = 27

27(1+0) = 27

27(1) = 27

27 = 27

Answer:

3-(-6)​ = 9

Step-by-step explanation:

3-(-6) simplifies to 3 + 6.

We would have to distribute the outside negative into the inside to get rid of the parenthesis. Then, we would add.

[tex]3-(-6)\\\\-1 * -6 = 6\\\\3-(-6)=\boxed{3+6}=9[/tex]

Hope this helps.

Answer:

The answer is c

Step-by-step explanation:

got it right on edge

Answer:

C / 2 times 10 Superscript 16

Step-by-step explanation:

Answer:

− 4

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

It is linear. Not non-linear. The line goes straight, even if it has a y axis, it does not curve and the change in y is constant and same each time.

Answer:

The answer is 6. Does that help?

Answer:

255 mL = .255 L

Step-by-step explanation:

820 cm = 8.2 m

Answer:

32

Step-by-step explanation:

We are finding X and it connects to the base and the height, so it is going upward only a bit, so you add the base to the height or 26 + 6 = 32.

Answer:

32

Step-by-step explanation:

All you need to do is add 26 + 6=32

Answer:

k = 10

Step-by-step explanation:

180° - 115° = 65°

(4k + 5) + (6k + 10) + 65 = 180

4k + 5 + 6k + 10 + 65 = 180

10k + 80 = 180

10k = 100

k = 10

Answer:

solution:

Answer:

2,3

Step-by-step explanation:

The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

The formula for slope of a line that passes through two points (x₁.y₁) and (x₂,y₂) is,

y₂ - y₁ = m(x₂ - x₁)

The given points are, (1, 1) and (7, 5).

The slope of the line is given by formula m = (y₂-y1)/(x₂-x₁)

m= (5-1)/(7-1)

m = 4/6

m = 2/3

The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.

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it would be 15 in. diagonal

Answer:

omg that one is hard but it is 18j-6m

Answer:

462

Step-by-step explanation:

15 x 11 + 33 x 9 = 462

100% sure gimme brainliest please thanks

Answer:

Its 462

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1. Reflection by a factor of (-3) and vertical shift down -12 units

2. Vertical shift up by 4 units and reflection by a factor of (-3)

Answer:

The answer is A, D, and F.

We have given that the following are exterior angles.

The angle between a side of a polygon and an extended adjacent side. an angle formed by a transversal as it cuts one of two lines and is situated on the outside of the line.

Therefore, The answer is A, D, and F.

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Answer: D, F

Step-by-step explanation:

The answer is D: <2 and F: <4

Answer:

The 95% confidence interval for the standard deviation is (0.14, 0.54).

Step-by-step explanation:

The complete data and question is:

Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}

The 95% confidence interval for the standard deviation of this data is  < σ <   (two decimals - include the leading zero) .

Solution:

Compute the sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185[/tex]

The (1 - α)% confidence interval for the variance is:

[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]

Confidence level = 95%

⇒ α = 0.05

The degrees of freedom is,

df = n - 1 = 6 - 1 = 5

Compute the critical values of Chi-square:

[tex]\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831[/tex]

*Use a Chi-square table.

Compute the 95% confidence interval for the variance as follows:

[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]

     [tex]=\frac{5\times (0.2185)^{2}}{12.833}<\sigma^{2}<\frac{5\times (0.2185)^{2}}{0.831}\\\\=0.0186<\sigma^{2}<0.2873\\\\=\sqrt{0.0186}<\sigma<\sqrt{0.2873}\\\\=0.1364<\sigma<0.5360\\\\\approx 0.14<\sigma<0.54[/tex]

Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).

Answer:

its b Brother

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

3x - 15 + 2x + 2x + 2x +24 = 360

9x = 360 + 15 - 24

9x = 351

x = 39

Answer:

B is the correct answer I the math hopes this helped!

Answer:

A

Step-by-step explanation:

Because subtraction and addition are alike just how multiplication and division are.

The inverse of f(x) is (x+6)/5, the correct option is A

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

Given;

f(x) = 5x - 6

f^-1 (x ) = x+6/5

Let, y = f(x) and rearrange making x the subject;

y = 5x - 6 ( add 6 to both sides )

y + 6 = 5x ( divide both sides by 5 )

x = (y+6)/5

Change y back into terms of x

x  = (x+6)/5

Therefore, the answer in inverse will be (x+6)/5

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