Which of the following numbers is closest to 11?
O A. 7123
B. V115
O c. 118
O D. 120

Answer:

Max is 17 years old and Bert is 11 years old

Step-by-step explanation:

System of Equations

Let's call

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem:

x - 5 = 2(y - 5)        [1]

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

2y - 5 + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5

x = 17

Max is 17 years old and Bert is 11 years old

Answer:

Step-by-step explanation:

4 feet = 48 inches, add 10 inches  = 58 inches

if susan is 15 inches shorter, 58- 15 = 43

43/12 = 3 feet 5 inches

Answer:

10 + w = -2.6

Step-by-step explanation:

Answer:

They are both correct.

Step-by-step explanation:

4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.

Answer:

84

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

75% is 3/4 of the whole.

Knowing this, you can divide 21 by the numerator (3)

21 ÷ 3 = 7

Since the denominator is 4,

You need to multiply 7 by 4.

7 × 4 = 28

The answer is 28

Answer:

5H

Step-by-step explanation:

Given

A roll of die followed by a flip of coin.

Required

Determine possible outcome in the sample space

Taking the experiment one at a time.

A roll of die will either give any of 1 to 6 as its outcome.

A flip of coin will either give any of H or T as its outcome.

So, the possible outcomes of a roll of die followed by a flip of coin is:

{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Note that numbers came first because the question stated that the die is rolled first.

Comparing the list of given options with the sample space above.

Option (A) i.e. 5H answers the question.

Answer:

x = - 8, x = - 6

Step-by-step explanation:

Given

8 | x + 7 | - 3 = 5 ( add 3 to both sides )

8 | x + 7 | = 8 ( divide both sides by 8 )

| x + 7 | = 1

The expression inside the bars can be positive or negative, thus

x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved

x + 7 = 1 ( subtract 7 from both sides )

x = - 6

or

-(x + 7) = 1

- x - 7 = 1 ( add 7 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

Answer:

congruent: 1 & 8,

congruent & corresponding: , 4&8

supplementary: 2&5, 3&5, 3&4

i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped

Answer:

The expected number of days until prisoner reaches freedom is 12 days

Step-by-step explanation:

From the given information:

Let X be the random variable that denotes the number of days until the prisoner reaches freedom.

We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;

E(X) = E( E[X|Y] )

E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}

[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]

[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]

Solving for E[X]; we get

E[X] = 12

Answer:

y= -4x+4

Step-by-step explanation:

so the slope is -4x

Answer:

5/2 is the slope

Step-by-step explanation:

Rise/Run= 5/2

so, slope=5/2

Answer:

huh can you put the whole question?

Step-by-step explanation:

Put all the answers

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

super easy bro tell me if its right

Answer:

7/15

Step-by-step explanation:

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

47 degrees

Step-by-step explanation:

3 1/2 x 8= 28

75-28= 47

In 7 minutes machine can fill 1 box.

Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.

A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.

Now, in 35 minutes machine has filled 5 boxes.

So, 1 box is filled in 35/5=7 minutes.

Therefore, in 7 minutes machine can fill 1 box.

To learn more about the constant rate visit:

https://brainly.com/question/13659182.

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The perimeter of the given rectangle is 32.2 cm.

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The area of the rectangle is 64.8 square centimetres.

Area = l*w

l*w = 64.8

l = 64.8/w

Perimeter = 2(l+w)

= 2(64.8/w+w)

= 129.6/w +2w

We take the derivative of P and set it to 0,

dP = -129.6/w²+2

-129.6/w²+2 = 0

129.6/w² = 2

2w² = 129.6

w² = 64.8

w = 8.05

Now, we have,

l = 64.8/w

∴ l = 64.8/8.05 = 8.05

The perimeter = 2(l+w)

= 2(8.05+8.05)

= 2*16.10

= 32.2 cm

Hence, The perimeter of the given rectangle is 32.2 cm.

For more references on perimeters, click;

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Answer:

Step-by-step explanation: this is for plato users!

Answer:0.02 aka 2%

Step-by-step explanation:

2%

Step-by-step explanation:use formula below :

S.I=P×R×T/100

Make the unknown variable subject of the formula

100×S.I/P×T=Rate (R)

R=Rate

S.I =Simple interest

P=principal

T=Time

100×8/200×2=800/400=2%

Answer:

20

Step-by-step explanation:

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i  = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already  :)

The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:

Given:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

To find:

Multiply complex numbers.

Solution:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

[tex]\therefore\\\\\to \bold{a+ib}[/tex]

In these questions, the value of a is missing so,

[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]

Therefore, the final answer is "-7i".

Learn more:

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Answer:

445

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

90+36= 126

180-126= 54

9514 1404 393

Answer:

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16

Answer:

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Step-by-step explanation: