Rewrite the following expressions using the distributive property.
1. 5(3x - 2)
2. 2x(6x + 5)
3.
2x
(9x + 6)
3
2

Answer:

k = p+2q/3

Step-by-step explanation:

k=7 and q=9

7 = p+(2*9)/3

7 = p+18/3

7 = p+6

7-6 = p

1 = p

Hope it helps!

Answer:

Hello,

60L

Step-by-step explanation:

Quantity of water /Quantity of milk =2/1

Quantity of mixture= Quantity of water +Quantity of milk =60L

Quantity of milk =40 L

Quantity of water =20 L

Let say x the quantity of water to be added

New ratio =1/2=40/(20+x)

20+x=80 (cross products)

x=60 (L)

Answer:

part a:

AC=HF (Given)

angle BAC= angle GFH (Given)

ans: BA=GF

part b:

Angle BAC= angle GFH (Given)

AC=HF (Given)

ans: Angle BCA = Angle GHF

Or

AngleABC = Angle FGH

Answer:

540 is the ans

Step-by-step explanation:

this is the correct answer

180

Step-by-step explanation:

the measure of interior angles of polygon =180×(n-2)

Answer:

A. 9.7%

Step-by-step explanation:

margin of error:

z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]

n is sample size

z is the z score (for a 95% confidence interval you would use 1.96)

p is the sample proportion

to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.

in this case we are given 43% so 0.43.

in the formula :

1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]

if you calculate this you get around 0.09703 this is 9.7%

Margin of error is 9.7% (A)

ρ = 43% which is equal to 0.430

[tex]1 - P = 1 - 0.430 = 0.570[/tex]

The number of sample n = 100

We have to calculate Z at 95% confidence interval

∝ = [tex]1 - 95%[/tex]%

∝ = [tex]1 - 0.95[/tex]

∝ = [tex]0.05[/tex]

∝/2 = 0.025

Z(∝/2) = Z(0.025) = 1.96

Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]

Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]

Standard error = [tex]\sqrt{(0.002451)}[/tex]

Standard error = 0.04950758

Standard error = 0.0495

Margin of error = Z*SE. z = 1.96 and standard error = 0.0495

Margin of error = [tex]1.96x0.0496[/tex]

Margin of error = [tex]0.097216[/tex]

Margin of error = [tex]9.7216%[/tex]%

In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.

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Answer:

33%

Step-by-step explanation:

Increase is equal to (1064-800)

=264

So the percent = (264/800)×100

=33%

The factory's output went up by around 33% from last month to this month, reflecting a significant growth in television set production.

To calculate the percentage increase in production, we use the concept of percentage change.

The formula for percentage change is = [(new value - old value) / old value] × 100,

In this case, the old value is 800 (last month's production) and the new value is 1064 (this month's production).

The percentage increase in production can be calculated as follows:

[(1064 - 800) / 800] × 100 = (264 / 800) × 100 ≈ 33%.

Therefore, the production increased by approximately 33%.

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Answer:

One solution

BRAINLIEST, PLEASE!

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

Answer:

82.8

Step-by-step explanation:

mean = sum of all points, over the total given number of points

84 * 26 = 2184

2184 + 69 + 66 = 2319

Now the total number of tests is 26 + 2 or 28

So divide 2319 by 28

2319/28 = 82.82142

rounded to the nearest tenth is 82.8

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: 50

Step-by-step explanation:

f(x) = 6x-4 and g(x) = x^2

f(g(3)) means what is the value of the function f when it is evaluated at the value of g(3).

So g(x) is x^2 so g(3) is 3^2 = 9

Therefore we put 9 in for f(g(3))= f(9) = 6(9) - 4 = 54 - 4 = 50

Answer:

-7/25

Step-by-step explanation:

1/5 ÷ -5/7

Copy dot flip

1/5 * -7/5

-7/25

Answer:

Step-by-step explanation:

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

Answer:

0.0071164

Step-by-step explanation:

Answer:

Does the answer help you?

Answer:

The area of a triangle is:

Area = 1/2(bh)

Area = 1/2(70)

Area = 35 square inches

Let me know  if this helps!

Step-by-step explanation:

the box is

9 in × 3.5 in × 4.5 in = 141.75 in³

each block is

0.5 in × 0.5 in × 0.5 in = 0.125 in³ (1/8 in³)

so, we can fit

141.75 / 0.125 = 1134

blocks into the box.

and they fit neatly, as the dimensions of the box and the cubes allow a tight packing without any empty left over space in the box.

[tex]\\ \sf\longmapsto 122^2[/tex]

[tex]\\ \sf\longmapsto (100+22)^2[/tex]

[tex]\\ \sf\longmapsto 100^2+2(100)(22)+22^2[/tex]

[tex]\\ \sf\longmapsto 10000+4400+484[/tex]

[tex]\\ \sf\longmapsto 14400+484[/tex]

[tex]\\ \sf\longmapsto 14884[/tex]

112²

(a + b)² = (a² + 2ab + b²)

⇛122²

⇛(100 + 22)²

⇛(100)² + 2 × 100 × 22 + (22)²

⇛10000 + 4400 + 484

⇛14400 + 484

⇛14884

Answer:

The probability will 4.32%.

The probability that all four are brown is 35/8,64,501.

Given that, A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs.

Probability without replacement means once we draw an item, then we do not replace it back to the sample space before drawing a second item. In other words, an item cannot be drawn more than once.

If four eggs are selected at random, without replacement, the probability that all four are brown is 7/69 × 6/68 × 5/67 × 4/66

= 7/69 × 3/34 × 5/67 × 2/33

=7/23 × 1/17 × 5/67 × 1/33

=35/8,64,501

Therefore, the probability that all four are brown is 35/8,64,501.

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Answer:

The molecules of the substances must be touching

FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.

Answer:

The molecules of the substances must be touching.

A

Step-by-step explanation:

Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.

The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.

To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.

In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:

x + 6 = 0

Solving for x, we subtract 6 from both sides:

x = -6

Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.

When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.

For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.

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Answer:

can't understand the language

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]

Answer:

730 million in numbers = 730,000,000

730M in short form.

Answer: 79

Step-by-step explanation:

i just did it on acellus and its right

Answer:

A

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt* 19.6 ^2 - 15.4^2*

x = 7× sqrt* 3*

x = 12.1 units

Answer:

A.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

Answer:

D( 1,9)

Step-by-step explanation:

First y must be greater than 7 which eliminates A and C

y must be greater than 2 times the x value

2*4 = 8 so B is eliminated

2*1 = 2  which is less than 9  Choice D is a solution

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

Answer:

[tex]( {p - q}^{3} ) \\ = {p}^{2} - 3 {p}^{2} q + 3p {q}^{2} - {q}^{3} [/tex]