Carl is estimating 653 - 644. His work is shown below.

700 - 600 = 100

What is the actual difference? Is Carl's estimate reasonable? If not, how could he have made a closer estimate?

Answer:

x = -5 and x = 1

Step-by-step explanation:

4( x2 + 4x + 4 ) = 36

4x2 + 16x + 16 = 36

4x2 + 16x - 20 = 0

x2 + 4x - 5 = 0

Answer:

C. x = -5, and x = 1

Step-by-step explanation:

You have the equation 4(x + 2)2 = 36

You then isolate 4 out of the equation using division on both sides

You are left with (x+2)2 = 9

Next, take square roots

[tex]\sqrt({x} +2) ^{2}[/tex] = [tex]\sqrt{9}[/tex]

This leaves you with x + 2 ± 9

So, x = -2 + 3 = 1

or

x = -2 - 3 = -5

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Answer:

3/64

Step-by-step explanation:

The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.

Given :

AG = 4x + 16

BG = 10x - 8

The following steps can be used in order to determine the distance from C to G:

Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.

Step 2 - Now, if G is the circumcenter then:

AG = BG = CG

Step 3 - Now, substitute the value of AG and BG in the above expression.

4x + 16 = 10x - 8

24 = 6x

x = 4

Step 4 - Now, use the relation BG = CG in order to determine the value of CG.

10(4) - 8 = CG

CG = 32

For more information, refer to the link given below:

https://brainly.com/question/22051318

Answer:

256

Step-by-step explanation:

divide 160 by 10 to get the bagels per hour then times 16

Answer:

−(d+1)>3

Step 1: Simplify both sides of the inequality.

−d−1>3

Step 2: Add 1 to both sides.

−d−1+1>3+1

−d>4

Step 3: Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >  [tex]\frac{4}{-1}[/tex]

d < -4

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]4y=8x+3[/tex]

To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.

Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:

[tex]y=2x+\frac{3}{4}[/tex]

[tex]m=2[/tex]

Therefore, the slope of the line is 2.

-

You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.

Answer:

y = -3x + 2

extra characters down here

Answer:

175

Step-by-step explanation:

since 1 was 152 you have to add more to get number 8

Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

Letter d

Step-by-step explanation:

pls mark this as brainliest! thx :)

Answer:

The original price of the holiday was $ 681.81.

Step-by-step explanation:

As the price of the holiday was reduced by 12% to a value of $ 600, it can be said that this price is 88% of its original price (100 - 12). Therefore, to determine the original price of the holiday, it is necessary to perform the following calculation:

88 = 600

100 = X

(100 x 600) / 88 = X

60,000 / 88 = X

681.81 = X

Therefore, the original price of the holiday was $ 681.81.

Answer:

To find the ratio you have to.....

Step-by-step explanation:

That was smooth. Thank you, have a nice day and happy holidays.

Answer:

ty

Step-by-step explanation:

Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

Answer:

A is $490 and B is 3990

Step-by-step explanation:

The way I solved this is with my last brain cells, you welcome.

The answer is 5b - w + 8

Step-by-step explanation:

Answer:

-w + 5b + 8

Step-by-step explanation:

Step 1: Since you're only dealing with addition and subtraction, the easiest method is to convert all subtraction to addition by adding the opposite. There is only one case of subtraction (-4w) which can be changed to adding negative 4w:

3w + 6 + (-4w) + 3b + 2 + 2b

Step 2: Combine like terms to simplify:

3w + (-4w) = -w

3b + 2b = 5b

6 + 2 = 8

Answer:

-w + 5b + 8

Answer:

100!!

Step-by-step explanation:

Hope this helps

Answer:

100

Step-by-step explanation:

5 x 12 = 60 +10 + 10 +10 +10

60 +40= 100

Answer:

B) y<3/2x+2

Step-by-step explanation:

cause y is less than the slope of 3/2 threw the point of 2 on the y axis

also < and > meansd its a dotted line

Answer:100 packs of gum

We take the gum that she have is X

we have the equation X x 1.25+ (150-X) x 1.5=200

=> x =100

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B

Answer:

Question 675528: A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by s(t)=-16t^2+48t+8 where s(t) is measured in feet above the ground and t is the number of seconds of flight.

Step-by-step explanation:

Answer:

The remaining credit after 45 minutes of calls is $18.70

Step-by-step explanation:

Here, we have a linear model to work with

Let us have the coordinates as follows;

(time calling time, credit remaining)

So we have two points as follows;

(24,21.64) and (35,20.10)

The slope will be;

(20.1-21.64)/(35-24) = -1.54/11 = -0.14

So the equation looks like;

y = -0.14x + c

To get the y-intercept, we simply substitute a point

Let us use (35,20.10)

20.10 = -0.14(35) + c

c = 20.10 + 4.9

c = 25

So the full equation is;

y = -0.14x + 25

So for 45 minutes, simply substitute 45 for x

We have this as:

y = -0.14(45) + 25

y = -6.3 + 25 = $18.70

Answer:

55.44 i believe

Step-by-step explanation:

Answer

x= x/11 - 10/11

Step-by-step explanation:

x over 10 take away 10 over 11

Answer:

24.56

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7 + 3 / -1 - 4

10/-5 = -2

slope is -2

Answer:

15

Step-by-step explanation:

the absolute value of -15 is 15

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14