Which of the following is a solution of y - x < -3?

Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Answer:

ANgle CAO measure [tex]21^o[/tex]

Step-by-step explanation:

The important procedure here is to work with the three "isosceles" triangles that are formed inside the circle all of them having a common vertex at the center of the circle (point O). Notice that all these three triangles must have two sides equal (therefore be isosceles triangles) because two sides measure exactly the radius of the circle. Have in mind then that these equal sides must oppose equal angles.

1) Triangle COB has two angles which measure [tex]32^o[/tex], due to the fact that they oppose the sides equal to the radius. Then, the third angle of the triangle (the one at the center O must measure:

[tex]180^o-32^o-32^o=116^o[/tex]

2) For triangle AOB, we can find the value at the acute angle [tex]\angle \,A[/tex] (with vertex at point  A), considering that it can be obtained by subtracting [tex]53^o[/tex] from [tex]90^o[/tex], since the radius of the circle is always perpendicular to the tangent line at the point where the radius meets the tangent. Then this acute angle must measure:

[tex]90^o-32^o=37^o[/tex]

Now, the other angle opposite to the radius must also measure [tex]37^o[/tex], so we can find the measure of the larger angle in the triangle (that with vertex at point O) by subtracting these two small angles from [tex]180^o[/tex]:

[tex]180^o=37^o-37^o=106^o[/tex]

3) Finally we get to study the third triangle (COA):

We now know the value of the central angle (that with vertex at point O), since it should be equal to the full circle [tex](360^o)[/tex]  minus the other two central angles we calculated above:

[tex]360^o-116^o-106^o=138^o[/tex]

so, now we can determine the measure of the addition of the other two small (and equal) angles of the triangle:

[tex]180^o-138^o=42^o[/tex]

Therefore, each of the angles should measure half of this value. that is each of the small acute angles measures [tex]21^o[/tex]

This is therefore the measure of the requested angle CAO.

Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40

Answer:

16

Step-by-step explanation:

Answer:

  (a)  5n -300 = 1500

Step-by-step explanation:

Profit is the difference between revenue and cost.

The revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.

The cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...

  200 +100 = 300

The profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...

  revenue - cost = profit

  5n -300 = 1500

Answer:

5n - 300 = 1,500

Step-by-step explanation:

just got it right on edge

Answer:

D

Step-by-step explanation:

The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.

Responder:

Explicación paso a paso:

Si inicialmente tengo $ 5 y mi madre me dio $ 10, el dinero total inicial que tengo será $ 5 + $ 10 = $ 15

Si mi papá me dio $ 30, mi tía y mi tío me dan $ 100, el monto recibido de mi tía y mi tío será de $ 30 + $ 100, es decir, $ 130

Como tengo otros $ 5 para todo este dinero, el dinero que realmente tengo será la suma total de todo el dinero recibido más mi dinero personal.

Dinero que realmente tengo = $ 15 + $ 130 + $ 5

= $ 150

El problema de palabras con la suma puede ser bastante complicado si no se maneja con cuidado. Para resolverlo y comprenderlo mejor, enumeremos los parámetros de la información proporcionada:

Entonces, la cantidad total de dinero que tiene es la suma del dinero que recibió de los miembros de su familia con la cantidad de dinero que tenía con él.

Para determinar eso, tendremos que sumar todas las cantidades.

i.e.

= $(5.00 + 10.00 + 30.00 + 100.00 + 5.00)

= $150.00

Por tanto, podemos concluir que la cantidad total que realmente tiene es $150.00

Obtenga más información sobre los problemas verbales con la suma aquí:

https://brainly.com/question/23542499?referrer=searchResults

Answer:

Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.

Answer:

x = - 1

Step-by-step explanation:

The x- coordinate of the vertex is mid way between the roots of the quadratic.

The difference between x- coordinate of vertex and the given root is

difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2

Thus the other root is 2 units to the right of x = - 3, that is

x = - 3 + 2 = - 1

The other root is x = - 1

Answer:

The value of y becomes 1/3 of the original.

Step-by-step explanation:

y = 5/x

The value of x tripling is same as dividing both sides by 3.

y/3 = (5/x)/3

y/3 = 5/3x

1/3y = 5/3x

Let’s check.

Put x as 10 in the original equation.

5/(10)

1/2

Put x as 10 in the new equation.

5/3(10)

5/30

1/6

1/6 is one-third of 1/2.

1/2 × 1/3 = 1/6

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]

Probability teachers preferring sharks:

[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]

Probability students preferring moose:

[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]

Probability teachers preferring moose:

[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer:

hope its helpful to uh

Answer:

Number of sundaes = 36

Number of banana split = 28

Step-by-step explanation:

On that day, let the number of sundaes sold be x

Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8

So the cost of sundaes sold will be 2 * x = 2x

the total cost of banana splits sold will be 3(x-8) = 3x -24

The addition of both equals 156

Hence;

2x + 3x-24 = 156

5x -24 = 156

5x = 156 + 24

5x = 180

x = 180/5

x = 36

So

number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28

Answer:

  D.  (-2, -7)

Step-by-step explanation:

I find the easiest way to locate the vertex or x-intercepts is to use a graphing calculator (see below). The vertex is the extreme point on the graph. For this function, it is (-2, -7), choice D.

__

The axis of symmetry of the graph is the vertical line such that every point on the left is a mirror image of the corresponding point on the right. Here, that axis of symmetry is x=-2. (It is shown as a dashed orange line on the graph.)

The location of the axis of symmetry for quadratic ...

  y = ax^2 +bx +c

is x = -b/(2a).

For your function,

  y = 2x^2 +8x +1

the coefficients are a = 2, b = 8, c = 1. This means the axis of symmetry is ...

  x = -b/(2a) = -8/(2(2)) = -2

The vertical line at x=-2 is the axis of symmetry.

The vertex is on the axis of symmetry. Its y-value is found by evaluating the function for x = -2 (the x-value of the axis of symmetry).

  y = 2·(-2)^2 +8(-2) +1 = 2·4 -8·2 +1 = 8 -16 +1

  y = -7 . . . . at the vertex

So, the (x, y) coordinates of the vertex are (-2, -7).

Answer:

D. (-2, -7)

Step-by-step explanation:

y= 2x²+8x+1

The vertex is max or min of the graph, for the given function it is

x = -b/2a for a>0

so x= - 8/4= -2

for the point of x= -2

y= 2*4 - 16 + 1 = - 7

So vertex is  (-2, -7), choice D.

Answer:

a) mean=1,8 b) mean=3.6 c) mean=7.2

Step-by-step explanation:

a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9

9/5=1.8  

b) 4.8+3.2+6.4+0.6+3=18

18/5=3.6

c)9.6+6.4+12.8+1.2+6=36

36/5=7.2

Answer:mean is 1.8

Step-by-step explanation:

Add all up divide by 5

Answer: 2.7

Step-by-step explanation:

Answer:

The equivalent sum is [tex]100 + 83[/tex].

Step-by-step explanation:

Hector must use the Distributive Property to make calculations quicker:

[tex]50 + 83 + 50[/tex] (Given)

[tex]50 + 50 + 83[/tex] (Conmutative Property)

[tex]50 \times (1+1) + 83[/tex] (Distributive Property)

[tex]50 \times 2 + 83[/tex] (Distributive Property)

[tex]2\times 50 + 83[/tex] (Conmutative Property)

[tex]100 + 83[/tex] (Multiplication)

[tex]183[/tex] (Sum)

The equivalent sum is [tex]100 + 83[/tex].

Answer: Your answer would be the distributive property

Step-by-step explanation: :) hope I helped

Answer:

The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Then, for our case we get a starting equation that reads:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]

and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:

[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]

Answer:

The probability of a customer buying carrots is 5 percent.

Step-by-step explanation:

Given that the grocery store manager reports that there is a 12% chance that the consumer will buy apples during their stay in the store, a 5% chance that they will buy apples and carrots, and a 17% chance that they will buy apples. or carrots, to determine the chances that this consumer buys only carrots we must make the following reasoning:

-Since there is a 12% probability of buying apples, and 17% of buying apples or carrots, the difference between the two should be the probability of people buying carrots only: that probability would be 5%, which in turn it is the percentage of chances that the consumer buys both vegetables.

Therefore, the chances of a consumer buying carrots at the store is 5%.

Answer:

C. 10.0 percent

Step-by-step explanation:

P(A) = 0.12

P(A\cap C)=0.05

P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)

0.17=0.12+P(C)-0.05

P(C)=0.17-0.12+0.05=0.10

Answer:

50 pounds

Step-by-step explanation:

This situation can be expressed as:

11x-30=5x+30

6x-30=30

6x=60

x=10

5x=50

Paul originally had 50 pounds. Hope this helps!

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer:

7/8 of an hour

Step-by-step explanation:

Answer:

duration of movie = 3 hours 30 minutes

= 180 + 30

= 210 minutes

Lily turned of 1/4 of the way

time she spend watching

= 1/4 × 210

= 52.5 minutes

Answer :

T.S.A = 200 cm²

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

y = 2/3, y = 38/3

Step-by-step explanation:

20 -3y = 18

y = 2/3

20 - 3y = -18

y = 38/3

Answer:

This triangle has two sides that are equal in length

Step-by-step explanation:

In an isosceles triangle, there are two base angles and one other angle. The two base angles are equal to each other. So say you have an isosceles triangle, where only two sides of that triangle are equal to each other. And then you have 36 degrees as one of your base angles.

Answer:

[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]

Second equation:

[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]

Third equation:

[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]

Now we use this value for "x" back in equation 1 to solve for "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]

And finally we solve for the third unknown "z":

[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent and supplementary, thus

x + 25 + 2x + 50 = 180, that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ BEF = ∠ CBY ( corresponding angles )

∠ BEF = 120°

Thus AC and DF are parallel lines