Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles. Which best explains the reasonableness of Anna’s answer?
There are three digits to the left of the decimal in the factors and three digits to the left of the decimal in the answer, so Anna’s answer is reasonable.
There is one digit to the right of the decimal in the factors and one digit to the right of the decimal in the answer, so Anna’s answer is reasonable.
Anna’s answer is reasonable because 60 times 3 is 180, and 180 is reasonably close to 201.6.
Anna’s answer is reasonable because 70 times 4 is 280, and 280 is reasonably close to 201.6.

Answer:the left one

Step-by-step explanation:

Given:

The center of the circle = (-2,5)

The radius of the circle = [tex]3\sqrt{2}[/tex] units.

To find:

The equation of the circle is standard form.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]               ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].

The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].

Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get

[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]

[tex](x+2)^2+(y-5)^2=18[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that [tex]a = 1, b = -6, c = 8[/tex]

Now, we find the vertex.

[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]

[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]

[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]

(x,y) = (3,-1), and the correct answer is given by option D.

Answer:

false

Step-by-step explanation:

1+2/5 = 5/5 + 2/5 = 7/5

Answer:

Word problem that matches the equation "6w = 42"

Word problem :

If you multiply 6 times number 'w' , you get the answer as 42

Step-by-step explanation:

equation :

6w = 42

Solving :

• 6w = 42

• w = 42÷6

• 42÷6 = 7

so,

w = 7

Step-by-step explanation:

LCM of 20 and 40 is 40

So,

60/40+30/40

90/40.... Answer

hope it helps

Answer:

y + 1 = 6(x - 6)

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-1) / 5 - 6

-6/-1

= 6

y + 1 = 6(x - 6)

Answer:

P= $29  and D = -$30

Step-by-step explanation:

4D + 5P = $25

5P = $25 - 4D

P = ($25 - 4D)/5            equation(i)

Noe substitute the value of P

3D + 4P = $26

3D + 4($25 -4D)/5 = $26

3D*5 + ($100 -16D)/5 =$26*5

15D + $100 - 16D =$130

-D = $130 - $100

D = -$30

Again substitute the vale of D in equation(i)

P = ($25 + 4D)/5

=$25 + 4*$30/5

=$25 + $120/5

=-$145/5

=$29

Answer:

P = 29, D = - 30

Step-by-step explanation:

Given the 2 equations

4D + 5P = 25 → (1)

3D + 4P = 26 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D

12D + 15P = 75 → (3)

- 12D - 16P = - 104 → (4)

Add (3) and (4) term by term to eliminate D

0 - P = - 29

- P = - 29 ( multiply both sides by - 1 )

P = 29

Substitute P = 29 into either of the 2 equations and solve for D

Substituting into (1)

4D + 5(29) = 25

4D + 145 = 25 ( subtract 145 from both sides )

4D = - 120 ( divide both sides by 4 )

D = - 30

Answer:

A B

Additive Identity (x) x + 0 = x

Additive Inverse (x) b + (-b) = 0

Multiplicative Identity (x) x • 1 = x

Multiplicative Inverse (x) x • (1/x) = 1

Answer:

4. 78,020,008 4. Seventy-eight million, twenty thousand, eight

5. 20,011,012 5. 20,000,000 + 11,000 + 12

6. 50,000 7. 900 8. 70,000,000 9. 30,000,000

Answer:

;)))

Step-by-step explanation:

Hope this help!!!

Have a nice day!!!

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9

Let 0 be the central angle

Arc Length = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18

49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0

0 = 49x2

0 = 98 degrees

Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution

Answer:

4

Step-by-step explanation:

6 times 12 is 72

72 divided by 18 is 4

Answer:

$8.6

Step-by-step explanation:

The total tax is 8 dollars and 60 cents

Answer:

$153.70

Step-by-step explanation:

Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145)  = 145 + 8.7 = $153.70

Answer:

383.8   =  383.8

Step-by-step explanation:

665.5-281.7   ?   373.8

383.8   =  383.8

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

Answer: no I'm actually horrible at math too sorry

Answer:

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Step-by-step explanation:

Given:

ration of red paint to yellow paint = 4 ml to 15 ml

Find:

Amount of red paint needed for 1500 ml yellow paint

Computation:

Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500

Amount of red paint needed for 1500 ml yellow paint = [4/15]1500

Amount of red paint needed for 1500 ml yellow paint = [4]100

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Given:

The data table is given.

The equation of trend line is:

[tex]y=2x+15[/tex]

To find:

Values for residual table.

Solution:

Formula for residual:

[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]

The equation of trend line is:

[tex]y=2x+15[/tex]                ...(i)

Substituting [tex]x=5[/tex] in (i), we get

[tex]y=2(5)+15[/tex]

[tex]y=10+15[/tex]

[tex]y=25[/tex]

The value of y from the table at [tex]x=5[/tex] is 25. So,

[tex]Residual=25-25[/tex]

[tex]Residual=0[/tex]

Similarly,

Substituting [tex]x=6[/tex] in (i), we get

[tex]y=2(6)+15[/tex]

[tex]y=12+15[/tex]

[tex]y=27[/tex]

The value of y from the table at [tex]x=6[/tex] is 28. So,

[tex]Residual=28-27[/tex]

[tex]Residual=1[/tex]

Substituting [tex]x=7[/tex] in (i), we get

[tex]y=2(7)+15[/tex]

[tex]y=14+15[/tex]

[tex]y=29[/tex]

The value of y from the table at [tex]x=7[/tex] is 29. So,

[tex]Residual=29-29[/tex]

[tex]Residual=0[/tex]

Substituting [tex]x=8[/tex] in (i), we get

[tex]y=2(8)+15[/tex]

[tex]y=16+15[/tex]

[tex]y=31[/tex]

The value of y from the table at [tex]x=8[/tex] is 30. So,

[tex]Residual=30-31[/tex]

[tex]Residual=-1[/tex]

Substituting [tex]x=9[/tex] in (i), we get

[tex]y=2(9)+15[/tex]

[tex]y=18+15[/tex]

[tex]y=33[/tex]

The value of y from the table at [tex]x=9[/tex] is 32. So,

[tex]Residual=32-33[/tex]

[tex]Residual=-1[/tex]

Therefore, the complete residual table is:

x                 :          5            6             7             8             9

Residuals  :          0             1             0             -1            -1

Answer:

the value of x is 50°mark the brainliest plzz

Answer:

Step-by-step explanation:

Remember :

1.if the two angles ae co interior angles their sum must be 180 degree.

2.If the two angles are corresponding angles they must be equal.

3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.

4.If two angles are vertically opposite angles then they must be equal.

5.If two angles are alternate exterior angles then they must be equal.

Answer:

y = -1/4 x+11/16

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1/4x+b

Substitute the point in for x and y

1 = -1/4(-5/4) +b

1 = 5/16 +b

16/16 = 5/16 +b

Subtract 5/16 from each side

11/16 = b

y = -1/4 x+11/16

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation

1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Answer:

Step-by-step explanation:

A horizontal line is a "y =  " line. So the horizontal line that goes through the point given has the equation y = -1 (-1 being the y coordinate of the point). That means that another point on this line, y = -1, will also have to have a y coordinate of -1. The only one is the last one, (-2, -1).

Answer:

D

Step-by-step explanation:

I just took the test

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.

Answer:

The answer is 3/5

Step-by-step explanation:

The amount of balloon to be given away= 1/5

The number of friends to

receive the balloon = 3

Therefore the total fraction of balloons that he gave away = 1/5 × 3

=3/5

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270

Answer:

????? sus

Step-by-step explanation:

sussy baka????

among sus

Answer:

10, 1 remaining

Step-by-step explanation:

Each team can have 10 people but there will be a remaining person that will not be able to participate.

31 ÷ 3= 10.33333333

Hope this helped :)