Dos secretarias deben escribir el mismo número de cartas. La primera escribe 2 cartas por hora y la otra, 5 cartas por hora. Si la primera ha empezado 6 horas antes que la segunda. ¿Cuántas horas
trabajó la primera?
Ayuden!!

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -2)^2 + (y-5)^2 = 3^2

(x+2)^2 + (y-5)^2 = 9

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

m = ( y2-y1)/(x2-x1)

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \: \\ \\ \rm \: d - \frac{1}{d} = 6 \\ \\ \bf \: now \\ \\ \rm {(d + \frac{1}{d} })^{2} = ( {d - \frac{1}{d} })^{2} + 4 \times d \times \frac{1}{d} \\ \\ = {6}^{2} + 4 \\ \\ = 36 + 4 \\ \\ = 40 \\ \\ \rm \: d + \frac{1}{d} = \pm \sqrt{40} \end{array}}}}[/tex]

Answer:

4

Step-by-step explanation:

Answer:

32 adulta

Step-by-step explanation:

96÷6 = 16 number of families

now we need to see how many adults there are in 16 families.

and the number is 32 adults.

Answer:

32 adults.

Step-by-step explanation:

At the very least, there are 4 children for every 2 adults. That means that, at the very least, there are 6 people in one group to get into the fun fair.

96 / 6 = 16

So, there are 16 groups trying to get into the fun fair, with 2 adults in each group. 2 * 16 = 32 adults are in the queue.

Hope this helps!

Answer:

[tex]y=60\textdegree[/tex]

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!

Step-by-step explanation:

since Chelsea can paint in 9hrs and Greg in 7, add the hrs and divide by 2 i.e (9+7)/2 =8 hrs

~10 hrs

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The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.

Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.

As per the given data in the question,

Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.

Also, the angles, m∠B = m∠D = m∠I are equal.

Then by the property of the side angle side all the triangles are congruent with each other.

To know more about Triangle:

https://brainly.com/question/2773823

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Answer:

A.  ΔABC, ΔFDE, and ΔGIH

Answer:99

Step-by-step explanation:(11×9)×1=99

Answer:

Step-by-step explanation:

(a x b) x c

a = 11, b = 9, and c = 1

In order to solve substitute the values of a , b and c into the above expression

That's

( 11 × 9) × 1

Solve the terms in the bracket first

99 × 1

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = [tex] \mathsf {\frac{PTR}{100} }[/tex]

[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]

[tex] \mathsf{ = \frac{1800}{100} }[/tex]

[tex] \mathsf{ = 18}[/tex]

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]

On simplifying

[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]

[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]

[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

Answer: 1880 pounds

Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs

Answer:

It would be y = -x + 9

Step-by-step explanation:

Answer:

Y=-x+9

Step-by-step explanation:

Answer:

the number is 2.66

Step-by-step explanation:

[tex]6.7+5x=20[/tex]

Step 1. Subtract 6.7 from both sides

[tex]5x=20-6.7[/tex]

[tex]5x=13.3[/tex]

Step 2. Isolate the variable

[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]

[tex]x=2.66[/tex]

The number is 2.66

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation

Answer:

A 2 by 2 inch square has an area of 4 square inches.

If its area is increased by 21 inches, then its area equals 25 square inches.

To find the length of the side we take the square root of 25 square inches which is 5 inches.

Step-by-step explanation:

Answer:

f(x)=2x-4

f(1)=2(1)-4

=2-4

f(1)=-2

Answer:

O P=20($1.50)

They will make $3,000 if they sell 100 boxes of chocolates

Step-by-step explanation:

It is multiplication because it is $1.50 per each chocolate bar, and since there is 20 per box, we need to find the profit for the entire box

using that info, we find that each box of chocolates is 30 dollars

multiplied by 100 boxes is $3000.

Answer:

Option A

Step-by-step explanation:

Using trigonometry ratios

tan∅= opp/adj

tan 30°=n/(5√3)

1/√3 = n/(5√3)

n = (5√3)/√3

n = 5

Answer: 1: Slope 0   Y- Intercept -5

2: Slope 0    Y- Intercept 6

Step-by-step explanation:

Answer:

4ny²+4n²-4n-8+y⁴-2y²

Answer:

Step-by-step explanation:

3(m-12)+8

x=m-12

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

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Answer:

x=1

Step-by-step explanation:

subtract 38 from both sides:

7x=7

divide both sides by 7 to isolate x:

x=1

HOPE THIS HELPS!!!! :)

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

Answer:

Triangle 1 and 3

Step-by-step explanation:

Based on a Congruent rule Side angle side :

In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, the answer is triangle 1 and triangle 3.

Answer:

C.

Step-by-step explanation:

I got it right on Plato