Evaluate the given expression when x = 16 and y = 11.
x² - 3y + x
The answer is

Answer:

Step-by-step explanation:

Given equation:

Solve:

Answer:

b 14oz .box

Step-by-step explanation:

10 oz cost 1.86

1 oz is .19 cents

14 oz cost 2.61

1 oz is .19 cents

so the for one oz is .19 cents for both of them

so chose 14 oz for 2.61 because it gives you more cereal for the same price per oz

Answer:

1875

Step-by-step explanation:

1500 x .25 is 375 add them together

The angle measure of arc AC at the center of the circle is; 21°

From the task content;

It follows that from circle theorems that; The angle subtended by an arc at the center of a circle is twice that which it subtends at the circumference.

Hence;

x = 4.

By substituting x= 4 into the expression; (3x +9)°

Hence, the angle subtended at the center of the circle is; 12+9 = 21°.

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Answer (Left to right per row):

-1, 2, 4, 6, 6.9, 6.99, 6.999

Step-by-step explanation:

y is anything less than 7

Answer: 35

Step-by-step explanation:

The total number of students who voted is 35.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A class votes for their class president Candidate A receives 21 votes, which is 60% of the vote.

The total number of students who voted,

= 21 x100 / 60

= 2100/60

= 35

Therefore, 35 students voted.

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Step-by-step explanation:

a=> let t denote the number of t

n(t)=1

number of total letters, n(s) = 8

Now,

probability of getting t ,P(t)

= n(t)/ n(s)

= 1/8

b=> let o denote the number of o and

m

n(o)=2

number of total letters, n(s) = 8

Now,

probability of getting t ,P(o)

= n(o)/ n(s)

= 2/8

= 1/4

c=> let x denote the number of x

n(x)=0

number of total letters, n(s) = 8

Now,

probability of getting a x, P(x)

= n(x)/n(s)

= 0/8

= 0

d=> let v denote the number of vowel

letters

n(v)=3

number of total letters, n(s) = 8

Now,

probability of getting a vowel

letter,P(v) = n(v)/n(s)

= 3/8

I hope my answer was helpful

The required statement that is true for the given circle is PQ = PR. Option D is correct.

A circle is a closed shape consisting of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, and the distance across the circle, passing through the center, is called the diameter.

Here,
From the figure,
QP = PR,

So P is the midpoint of QR,

Thus, the required statement that is true is PQ = PR. Option D is correct.

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The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.

For more information, check out the Law of Large Numbers.

Answer:

The theoretical probability of spinning a head = 1/2 = 0.5

Therefore, if Gina spins a penny 100 times, the theoretical number of times it will land head side up = 0.5 x 100 = 50 times

Gina's experimental probability is 38/100 = 0.38

Therefore, the experimental probability is less than the theoretical probability.

The main difference between experimental and theoretical probability is that experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly), whereas theoretical probability is based on possible outcomes based on assumptions.

If Gina continued to spin the penny, as the number of times she spun it increased, you would expect for the experimental probability to get nearer to the theoretical probability of 0.5.

[tex]=Solution,\\\\Diameter(d)=10yd\\\\Radius(r)=10yd/2=5yd\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *\pi*(5yd)^{3} \\\\Volume=\frac{4}{3}*3.14*125yd^{3} \\\\Volume=523.33yd^{3}[/tex]

Answer:

I am not too sure but I think the answer would be 6

Step-by-step explanation:

Answer:

100 waffles

Step-by-step explanation:

Answer:

it is A?? I'm not sure but Stan nct.....

Step-by-step explanation:

1 mile = 5280 ft

1 hour = 3600 seconds (60 minutes of 60 seconds each).

the open question here is : do we need the ground distance, or really the line of sight distance (e.g. directly above the intersection the distance is 0 ft ground distance but 95ft line of sight distance) ?

based on the above conversions the speed

30 miles per hour = 30×5280 ft per 3600 seconds =

= 158,400 ft / 3600 s = 44 ft/s

so, the balloon moves away from the intersection 44 ft every second.

so, just for ground distance in ft we would have

d = 44t

for the line of sight distance we need to use Pythagoras, as we need to calculate the length of the Hypotenuse (= the line of sight) of the right-angled triangle of ground distance, height and line of sight.

the ground distance is again the same function as before (44t). height is constant (95 ft).

so,

d² = (44t)² + 95² = 1936t² + 9025

d = sqrt(1936t² + 9025)

so, e.g. after 1 second the line of sight distance would be

d = sqrt(1936×1 + 9025) = sqrt(1936 + 9025) =

= sqrt(10961) = 104.6947945... ft

that means although the ground distance increased by 44 ft, the line of sight distance increased only by roughly 10 ft.

that's how right-angled triangles work.

after 2 seconds d = 129.4951737... ft, so, roughly a 25 ft increase compared to 1 second. the change rate of the line of sight distance (the Hypotenuse) will get closer and closer to the (constant) change rate of the ground distance (but will never fully reach it - only in infinity ...).

Answer:

The answer is -15.75 because 4= -16= -79 you have to turn 16 positive so add 16 to -79 to get -63 then divide by 4 to get the answer -15.75.

Check the picture below.

Answer:

25 is correct answer try it

Step-by-step explanation:

Answer:

25 is correct answer try it

squareroot (3x-11)^2=(5+3)^2

3x-11=64

3x=64+11

3x=75

x=25

Answer:

((75 +45)÷5-10)×2

Step-by-step explanation:

Simplified:

((120÷5)-10×2

=(24-10) ×2

=14 ×2

=28

Answer:

762

Step-by-step explanation:

Since he makes 24 dollars a hour and he worked for a total of 40 hours that'll equal to 960 and when you subtract all the taxes away from his payment it'll equal to 762

The net income of the carpenter will be $762.

The amount paid by any company or industry to the employees after deductions of the several taxes is the net income.

Given that:-

So the net income of the carpenter will be calculated as:-

Gross pay will be =  24   x  40  =  $960

Net income  =  960  -  (  83  +  74  +  41  )  =  $762

Hence the net income of the carpenter will be $762.

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Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

Answer:

8

Step-by-step explanation:

It's counting by 2's

Step-by-step explanation:

Line 1: Ax+By=3

By=-Ax+3

-> slope is -A/B

Line 2: Ax+By=2

By=-Ax+2

-> slope is -A/B

Line 3: Bx-Ay=1

Ay=Bx-1

-> slope is B/A

So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular

Answer:

6 and 7

Step-by-step explanation:

6^2 = 36

7^2 = 49

36 < 47 < 49

so the two consecutive whole numbers are 6 and 7

Answer:

The two numbers are 6 and 9

Step-by-step explanation:

Let the two numbers be x and y

x+y = 15

x-y = 3

Add the two equations together to eliminate y

x+y = 15

x-y = 3

----------------

2x = 18

Divide by 2

2x/2 = 18/2

x = 9

Now we can find y

x+y = 15

9+y = 15

y = 15-9

y = 6

The two numbers are 6 and 9

Answer:

Look at attached image

Step-by-step explanation:

Graph using (X, Y)

Hope this helps!

PLS MARK BRAINLIEST!!!

Answer:

5

Step-by-step explanation:

Pyramid

[tex]\textsf{volume of a square based pyramid} =\frac{1}{3} a^2h[/tex]

(where [tex]a[/tex] = base edge, and [tex]h[/tex] = height)

Given:

[tex]\implies \textsf{volume} =\frac{1}{3} \times 9^2\times10=270 \ \mathsf{cm^3}[/tex]

Wax cubes

volume of a cube = w³, where w is the length of one edge

⇒ volume = 4³ = 4 x 4 x 4 = 64 cm³

Solution

To calculate how many wax cubes are needed, divide the volume of the pyramid by the volume of a wax cube:

⇒ 270 ÷ 64 = 4.21875

⇒ 5 wax cubes are needed to make the candle

We need to round this up to 5, since we need to know the number of whole wax cubes.  (If we rounded down to 4, there would not be quite enough to fill the pyramid as 4 x 64 = 256 < 270)

Answer:

Step-by-step explanation:

m ∠ D + m ∠ E + m ∠ F = 180°

m ∠ D = m ∠ F - 14

m ∠ E = 2( m ∠ F ) + 10

m ∠ F - 14 + 2( m ∠ F ) + 10 + m ∠ F = 180°

4( m ∠ F ) = 180 + 4

m ∠ F = 46 °

m ∠ E = 2 × 46 + 10 = 102 °

m ∠ D = 46 - 14 = 32 °

Answer:

D = 32°

E = 102°

F = 46°

Step-by-step explanation:

The measure of angle D is 14 less than the measure of angle F

⇒ D = F - 14

The measure of angle E is 10 more than twice the measure of angle F:

⇒ E = 2F + 10

So we have now constructed two equations:

Equation 1:  D = F - 14

Equation 2:  E = 2F + 10

Also, we know that the sum of the interior angles of a triangle is 180°.

Therefore, D + E + F = 180

Substitute the two equations we have constructed for D and E into the sum of the interior angles equation and solve for F

     D + E + F = 180

⇒ (F - 14) + (2F + 10) + F = 180

⇒ 4F - 4 = 180

⇒ 4F = 180 + 4 = 184

⇒ F = 184 ÷ 4

⇒ F = 46°

Now substitute the found value of angle F into the two equations for D and E:

   D = F - 14

⇒ D = 46 - 14

⇒ D = 32°

   E = 2F + 10

⇒ E = 2(46) + 10

⇒ E = 92 + 10

⇒ E = 102°