The expression 5 + 5x is equivalent to the expression

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

Answer:

15.5 m/s

Step-by-step explanation:

Using the equation, d = ut+1/2gt² where all the variables have meaning as given above, making u subject of the formula, we have

d = ut+1/2gt²

d - 1/2gt² = ut

d/t - 1/2gt²/t = u

u = d/t - 1/2gt

Since d = 200 m, t = 5 s and g = 9.8m/s², substituting the values of the variables into the equation, we have

u = d/t - 1/2gt

u = 200 m/5 s - 1/2 ×  9.8m/s² × 5 s

u = 40 m/s - 49 m/s ÷ 2

u = 40 m/s - 24.5 m/s

u = 15.5 m/s

So, the initial speed of the snowball is 15.5 m/s

Answer:

Absolute error = $25

Step-by-step explanation:

Given that:

Amount spent by John on shopping trip = $75

Estimated amount to spent on shopping trip = $100

Absolute error = Approximate value - Exact value

Here,

Approximate value = $100

Exact value = $75

Absolute error = 100 - 75

Absolute error = $25

Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]

Percentage = [tex]\frac{25}{75}*100[/tex]

Percentage = 33.33%

Hence,

Absolute error = $25

Answer:

pentegan easy

Step-by-step explanation:

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]

Then we can take its derivative with respect to w

[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]

Now we can set the derivative to zero, and solve for w:

[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1 x 1 = 1

3 x 4 = 12

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

Answer:c

Step-by-step explanation:

Answer:

B: 7x2 + 41x − 6

Step-by-step explanation:

Use the FOIL method to multiply the two expressions.

(First Outer Inner Last)

Then, combine like terms.

(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)

 = 7x2 − x + 42x − 6

 = 7x2 + 41x − 6

Answer:

I think it's

10 X 3 = 30 feet

Answer:

A is 85 degrees

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]

The percentage error in the acceleration is 11.3%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual acceleration of the object is 9.80 meters per second.

The acceleration of an object is 10.91 meters per second.

Now,

Percentage error.

= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100

= (10.91 - 9.80) / 9.80 x 100

= 1.11 / 9.80 x 100

= 11.33 %

Thus,

The percentage error is 11.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

Answer:

A

Step-by-step explanation:

Answer:

Option (2) is correct.

Step-by-step explanation:

The given equation is x-2y<4.

We need to select the correct graph for this inequality.

When x = 0, y = <-2

When y=0, x<4

The attached figure shows the graph for this inequality. It means the correct option is (b).

Answer:

-2.333333333

Step-by-step explanation:

Answer:

[tex] 64 {x}^{2} [/tex]

Step-by-step explanation:

[tex] {(8x)}^{2} = {8}^{2} . {x}^{2} = 64 {x}^{2} [/tex]

Answer:

90 is correct answer of it question

Answer:

[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]

Answer:How much interest will I earn in a CD? It depends on the interest rate the bank offers and how long the CD's term is. Here's an example: $5,000 invested in a 3-year CD with a 0.80% APY would earn about $120 by the end of the term.

Step-by-step explanation:

Answer:

12 months

Step-by-step explanation:

Given that:

Mario:

12 stamps per month

Since January

Karen :

18 stamps per month

Starts on july

Number of stamps collected by Mario till the end of June :

12 * 6 = 72 stamps

For Mario :

72 + 12x

For karen:

18x

Where x is the number of months after karen starts :

Equate both equations

72 + 12x = 18x

72 = 18x - 12x

72 = 6x

x = 72/6

x = 12

After 12 months

Number of months after karen starts, will they have same amount of stamp

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

Answer:

All of the except for D and C

Step-by-step explanation:

A negative times a positive is always negative

Answer:

A,B

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Prime factors of 56 = 2^3 . 7

Prime factors of 76 = 2^2 . 19

Prime factors of 114 = 2 . 3 . 19

Prime factors of 124 = 2^2 . 31

Answer:

2.3+5.1-7x-3x

7.4-10x