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Answer:

1. no solution

2. (0,3)

3. IMS (Infinitely Many Solutions)

Step-by-step explanation:

First graph has parallel lines, which means the lines will never intersect, therefore it will be impossible to get a solution.

Second Graph has 2 lines that intersect at points (0,3) which will give only one solution.

Third Graph has 1 line that overlaps at every point, which means that any point which is on the that line is a solution.

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Infinite solutions No Solution (0,3)

Answer:

14 units

Step-by-step explanation:

All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.

Answer:

x = 6

Step-by-step explanation:

2x - 5 = 7

Add 5 on both sides.

2x - 5 + 5 = 7 + 5

2x = 12

Divide both sides by 2.

2x/2 = 12/2

x = 6

Answer:

Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.

El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.

Step-by-step explanation:

Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.

Salmón a la mostaza:

Precio anterior: 28.50

El 35% de 28.50 es (28.50)(.35) =9.975

Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50

Pollo al curry

Precio anterior: 32.80

El 35% de 32.80 es (32.80)(.35) = 11.48

Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30

Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.

Salmón a la mostaza.

Precio nuevo: 38.50

El 82% de 38.50 es (38.50) (.82) = 31.57

Se recibirá 31.57 por el Salmón a la mostaza.

Pollo al curry

Precio nuevo: 44.30

El 82% de 44.30 es (44.30) (.82) =36.32

Se recibirá 36.32 por el Pollo al curry.

Answer:

You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.

Answer:

3. [tex]336[/tex]

Step-by-step explanation:

To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.

So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.

So, the answer is number 3.

Answer:

C. 336

Step-by-step explanation:

Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.

A congruent triangle simply means when two triangles have exactly the same side and angles.

Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.

Learn more about triangles on:

https://brainly.com/question/24382052

Answer:

8sqrt(3)

Step-by-step explanation:

30-60-90 truangle ratio of lengths of sides:

1 : sqrt(3) : 2

24/d = sqrt(3)/1

d * sqrt(3) = 24

d = 24/sqrt(3)

d = 24/sqrt(3) * sqrt(3)/sqrt(3)

d = 24sqrt(3)/3

d =

Answer:

Where is the figure or picture

Answer:

False

Step-by-step explanation:

If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.

Answer:

False

Step-by-step explanation:

if you multiply two negative integers, you will get a positive result

For example

(-1) x (-2) = 2   (the sign of the answer is different from the sign of the two negative integers that we multiplied)

Answer:

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

[tex]V = \dfrac{\pi r^2 h}{3}[/tex]

[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]

[tex]V = \dfrac{1}{12} \pi h^3[/tex]

[tex]V = \dfrac{ \pi h^3}{12}[/tex]

Taking the differentiation of volume V with respect to time t; we have:

[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]

we know that:

[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

So;we have:

[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]

[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

Answer:

tanΘ = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

1008 [tex]cm^2[/tex]

Step-by-step explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

[tex]Area\ of\ rectangle = Length \times Width[/tex]

The formula for Total Surface Area of a triangular prism is given as:

[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]

So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

Answer:

Let x represent the smaller number and y represent the larger number

For the first equation

Four times a number added to 3 times a larger number is 31 is written as

4x + 3y = 31

Making y the subject we have

3y = - 4x + 31

Divide both sides by 3

That's

[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]

For the second equation

Seven subtracted from the larger number is equal to twice the smaller number is written as

y - 7 = 2x

Making y the subject

We have

Hope this helps you

Answer:

first one (A)

Step-by-step explanation:

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

=> Probability = 1/10

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

Answer:

x² + 2x + 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 4x + 5 + x² - 2x - 2 ← collect like terms

= x² + 2x + 3

Answer:  3/5

Step-by-step explanation:

[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]

Since "a" is a positive integer, disregard a = -10

So the only valid answer is a=3   →  a+2=5

[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]

Answer:

Step-by-step explanation:

Let s represent the speed of the bus.

From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as

Speed, s = distance covered by the bus/ time taken to cover the distance

Therefore,

Speed, s = 240/5 = 48 km/hr

A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be

s ≥ 48

Answer:

−76x+76=−76x+76 and 76x+76=76x+76

Answer:

The measure of angle C is 180 - 3α

Step-by-step explanation:

Given;

triangle ABC, ΔABC

angle A, ∠A  = α

angle B, ∠B = 2α

To calculate angle C, we must recall that, the sum of angles in a triangle is equal to  180°. Angle A, angle B, and angle C make up the total angle in the triangle.

∠A + ∠B  + ∠C = 180

where

∠C  is angle C

α + 2α + ∠C = 180

3α  + ∠C  = 180

∠C = 180 - 3α

∠C = 3(60 - α)

Therefore, the measure of angle C is 180 - 3α

Answer:

180°-3a

Step-by-step explanation:

YOU HAVE TO INSERT DEGREES SYMBOL

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Answer:

[tex]y=28[/tex]

Step-by-Step Explanation:

Please refer to the attachment below.

So, notice that to find y, we simply need to determine x.

Remember that the area of a parallelogram is given by bh.

We can see that our base is x.

And our height h is half of 14. Therefore, h=7.

So, the area of one parallelogram is:

[tex]A=7x[/tex]

Then the area of four parallelograms is:

[tex]A=4(7x)=28x[/tex]

Since the total area of the shape is 308 squared centimeters. This means that:

[tex]308=28x[/tex]

Therefore:

[tex]x=11[/tex]

Then it follows that:

[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]

Answer:

The answer is c.

Step-by-step explanation:

[tex]a_{1} =-1*(-4)x^{n-1}[/tex]

[tex]a_{1} =-1(-4)^{1-1}[/tex]

[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]

Answer:

Step-by-step explanation:

1/8 + c = 4/5

c = 4/5 - 1/8

c = 4/5 × 8/8 - 1/8 × 5/5

= 32+5 / 40

= 37/40

Hope this helps

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Answer:

( edited )

1. divisible by 5 : 120

2. divisible by 12 : 192

3. divisible by 25 : 24

See explanations below.

Step-by-step explanation:

Given:

6 digit number

digits all unique between 1 to 6

divisible by 5, 12 and 25

Find how many such numbers

solution:

1. Divisible by 5.

The last digit must be 5.  That leaves five digits (1,2,3,4,6) for the rest of the numbers. So there are 5! = 120 such numbers.

2. Divisible by 12 (edited again)

All numbers formed from unique digits 1,2,3,4,5,6 are divisible by 3, since 1+2+3+4+5+6 = 21 which is divisible by 3.

For the 6 digit numbers divisible by 12, the two end digits must be divisible by 4, for which there are 8 ( 12,16,24,32,36, 52, 56, 64)

For each of the 8 numbers, we have 4 more digits to tag on for which there are 4! = 24 permutations.  Thus there are 8*24 = 192 numbers divisible by 12.

3. divisible by 25

All numbers ending in 00, 25, 50 or 75 are divisible by 25.

Using digits 1 to 6, only those ending in 25 qualify.

Thus that leaves us with 4 digits to make 4! = 24 variations.

Thus there are 24 such numbers.

Answer:

The constant term is 240. It represents the initial daily revenue.

Step-by-step explanation:

It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu,  to maximize profits.

The owner can calculate the daily revenue using the polynomial  expression

where x is the number of $1 increases in the taco price.

Constant term does not contain any variable.

In the given expression 240 is free from variable x. So, the constant term is 240.

The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.

Therefore the constant term is 240 and it represents the initial daily revenue.