Express in the form n : 1 . Give n as a decimal. 6 : 12

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

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:

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:

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:

y = 3

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A parallel line will also be a horizontal line with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (8, 3 ) with y- coordinate 3 , thus

y = 3 ← equation of parallel line

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

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 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:

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:

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:

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:

They both intersect eachother

Step-by-step explanation:

Answer: 2.7

Step-by-step explanation:

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:

y = 2/3, y = 38/3

Step-by-step explanation:

20 -3y = 18

y = 2/3

20 - 3y = -18

y = 38/3

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.

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:

16

Step-by-step explanation:

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:

[tex]-12<p<12[/tex]

Step-by-step explanation:

[tex]\left|p\right|<12[/tex]

The interval notation is (-12, 12).

[tex]-12<p<12[/tex]

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:

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:

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:

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

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:

√27

Step-by-step explanation:

3 × √3

The square of 3 is 9.

√9 × √3

√(9 × 3)

Multiply.

√27

3√3 as a whole radical is √27.

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:

hope its helpful to uh