Find four consecutive even integers such that if the sum of the first and third was multiplied by 2, the result is 20 less than three times the fourth.

Answers

Answer 1

xAnswer:

-10   -8   -6   -4

Step-by-step explanation:

The numbers are  

first =x

second= x+2

third=x+4

4th= x+6

2(x + (x+4)) = 3(x+6)-20

4x+8 = 3x+18–20

4x-3x=18–20–8

x=-10

So the numbers are       -10,           -8,              -6,            -4

                                       first           2nd          3rd             4th

           Check:

         2( -10-6)  = 3(-4) -20

            2(-16) =  -12-20

-32 = -32


Related Questions

Write the following fraction as a decimal.

one and four-tenths
1.14
1.04
1.4
0.14

Answers

Answer: 1.4

Step-by-step explanation:

Can someone help me please

Answers

Divide the irregular figure into rectangles
Area of rectangle = l * w
4 * 5 = 20 in^2
5 * 12 = 60 in^2
7 * 11 = 77 in^2
Add them together
20 + 60 + 77 = 157 in^2
(Sorry if the picture isn’t neat)

Find the area of the figure. Sides meet at right angles. No links!!!!

Answers

Answer:

the answer is 47

Step-by-step explanation:

the bottom box is 15 because 3x5=15 the side is seven and u subtract 3 bc it was already used so u have 4x8=32. 32+15= 47

PLEASE I REALLY NEED HELP

Answers

Answer:

a = 63 ft

b = $157.50

Step-by-step explanation:

a: round 62.5 to the nearest whole value

b: multiply 63 by cost per ft *63 x 2.5

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

I’m not able to see it clearly can you post another picture please

Please help on this! Thanks!

Answers

Answers:

a = 7b = 14c = 7d = 7*sqrt(3)

======================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle. In these triangles, the hypotenuse is sqrt(2) times that of the leg length.

The hypotenuse shown is 7*sqrt(2), so that must mean each leg is 7 units long. Therefore, a = c = 7.

The triangle on the right is a 30-60-90 triangle. The shorter leg (opposite the smallest angle of 30 degrees) doubles to get the hypotenuse. So we can say b = 2a = 2*7 = 14. The longer leg is exactly sqrt(3) times that of the shorter leg. The longer leg is d = a*sqrt(3) = 7*sqrt(3)

Do y’all know this is for a star test

Answers

The answer is b because an intersection looks like this:

Hope this helps! <3

What is the median of this set of data?
A.32
B.36
C.38
D.39
E.42

Answers

the answer is b your welcome

Help me with this question pls

Answers

Answer:

24

Step-by-step explanation:

The question is asking how many blueberries per day and in ounces, so we divide 3 by 2

3/2 = 1.5

Then, convert 1.5 pounds into ounces

1 pound = 16 ounces

1.5 * 16 - 24

h(x)=1x-21, find h(-10)

Answers

Answer:

h(-10) = -31

Step-by-step explanation:

Substitute -10 for x in h(x)=1x-21:

h(-10) = 1(-10) - 21, or

h(-10) = -10 - 21 = -31

h(-10) = -31

María circula en bicicleta de su casa al trabajo ¿ qué distancia recorre en un viaje de ida si el radio de una rueda mide 35 cm y las ruedas giran en total 1200 vueltas cada una ?

Answers

Answer:

Step-by-step explanation:

WHOEVER ANSWERS FIRST GETS BRAINLIEST (SCIENCE)

Is this statement true or false?

Decomposers such as bacteria recycle dead tissue into reusable chemicals for other producers. Then the consumers eat the producers. This is an example of how nutrients are recycled through an ecosystem.

Answers

Answer:

Questoin:

1. Ecosystems contain producers, consumers, and decomposers. Which list below includes an example of each?

fungus, chipmunk, fox

dandelion, squirrel, bacteria

cricket, beetle, woodpecker

maple tree, blue jay, hawk

2. Which list below shows the correct path of energy flow through a food chain?

carnivore>herbivore>decomposer>producer

herbivore>producer>decomposer>carnivore

producer>herbivore>carnivore>decomposer

producer>carnivore>decomposer>herbivore

3. Consider the energy pyramid. Which statement best summarizes what happens to energy as it flows through the food chain?

The amount of energy transferred between trophic levels decreases up the food chain

The amount of energy transferred between trophic levels increases up the food chain.

The amount of energy transferred between any two trophic levels of a food chain is the same.

The amount of energy at each trophic level of a food chain is independent of the other levels

Step-by-step explanation:

Answer:

the answer is true!!!

hope this helped :D

What is the measure of the angle?
А 30°
В. 60°
с. 90°
D. 120
E. 150

Answers

I think the answer is B

Eliana is using a magnifying glass. The lens of the magnifying glass has a radius of 4 centimeters. What is the lens's area? Use 3.14 for ​pi.

Answers

Answer:

[tex]area = \pi {r}^{2} \\ = 3.14 \times {(4)}^{2} \\ = 50.24 \: {cm}^{2} [/tex]

The Area of the lens is equal to 50.24 cm²

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Elliana is using a magnifying glass and radius of the magnifying glass has radius of 4 cm.

The formula for the area of a circle is A = πr², where r is the radius of the circle. The unit of area is the square unit, for example, m², cm², in², etc.

Thus Area of the lens of the glass is equal to A=πr²

                                                                              =3.14×4²

                                                                              =50.24 cm²

Therefore the len's Area is 50.24 cm²

Hence, The Area of the lens is equal to 50.24 cm²

Learn more about Area of a circle here:

https://brainly.com/question/14200825

#SPJ2

Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the total area he will paint in order to determine the amount of paint to purchase. Which expression best represents the estimated area in square feet that Ivan will paint?​ A. 3(10) + 3(14) B. 3(10) × 3(14) C. 3 + (10 × 14) D. 3(10× 14)

Answers

Answer:

3(10 × 14) cause its basically telling you to multiply

Suppose we want to choose to letters without replacement three letters a b and c. How many ways can this be done if the order of the choices is relevant? How many ways can this be done if the order of the choices is not relevant?

Answers

Answer:

6 ;

3

Step-by-step explanation:

Letters = (a, b, c)

Number of letters to be chosen = 2

If the order is relevant, then we use permutation :

nPr = n! ÷ (n-r)!

3P2 = 3! ÷ (3-2)!

3P2 = (3 * 2 * 1) ÷ 1

3P2 = 6

If the order is not relevant ; We use combination :

nCr = n! ÷ (n-r)!r!

3C2 = 3! ÷ (3-2)!2!

3C2 = 3! ÷ 1!2!

3C2 = (3 * 2!) ÷ 2! * 1

3C2 = 3

Si 1 kg de naranjas cuesta 14 pesos y al final del día el dueño de la frutería cuenta 1124 pesos por venta de naranjas, a) ¿cuántos kilogramos vendió? b) ¿cuánto cuesta comprar 3⁄4 de kg de naranjas? Si una señora compra dos naranjas cuyo peso fue de 0.3 kg, c) ¿cuánto pagó? Si en la compra de 5 kg de naranja se hace un descuento del 10%, d) ¿cuánto se paga? e) ¿Cuántos tipos de números hay en el problema?

Answers

Answer:

La respuesta a cada una de las preguntas es:

a) Se vendieron 562/7 kilogramos de naranjas.b) Comprar 3/4 de kg de naranjas cuesta 10.5 pesos.c) La señora pagó 4.2 pesos.d) Se paga 63 pesos por 5 kg de anaranja con el descuento.e) Se utilizan números racionales y números naturales.

Step-by-step explanation:

a) Para calcular los kilogramos de naranjas vendidos durante el día, al tener el costo por kilogramo (14 pesos/kg) y la venta total (1124 pesos), puedes calcular de la siguiente forma:

Kilogramos vendidos = venta total / costo por kilogramoKilogramos vendidos = 1124 pesos / (14 pesos/kg)Kilogramos vendidos = 562/7 kg de naranjas.

b) Para identificar el costo de 3/4 de naranja, debes multiplicar 3/4 por el valor del kg de naranja (14 pesos/kg):

Costo de 3/4 kg = (3/4 kg) * (14 pesos/kg)Costo de 3/4 kg = 10.5 pesos.

c) Si la señora compra un peso total de 0.3 kg de naranja, para obtener el costo debes realizar la misma operación del ejercicio anterior, es decir, multiplicar los kilos comprados (0.3 kg) por el costo de cada kilogramo de naranja (14 pesos/kg):

Costo de 0.3 kg = 0.3 kg * (14 pesos/kg)Costo de 0.3 kg = 4.2 pesos

d) Para calcular el costo de 5 kg de naranja con un descuento del 10%, debemos multiplicar el costo por kilogramo (14 pesos/kg), por el número de kilogramos comprados (5 kg), y luego por el porcentaje restante tras el descuento (90%), puesto que el total es el 100% y le restamos el 10% de descuento, nos queda el 90%:

Precio total de 5 kg de naranja tras descuento = (14 pesos/kg * 5 kg) *90%Precio total de 5 kg de naranja tras descuento = 70 pesos * 90%Precio total de 5 kg de naranja tras descuento = 63 pesos.

e) De entre todos los tipos de números que hay, dentro de los ejercicios resueltos se hace uso de los números racionales (por el uso de fraccionarios) y de los números naturales (por el uso de los números enteros positivos).

Find the area please

Answers

Answer:

Area = (5 * 6.5)/2 =16.25 sq.yds

Step-by-step explanation:

The area of a triangle is given by half of the product of the base and the height.

Here

base = 5 yd

height = 6.5 yd

Area = (5 * 6.5)/2 =16.25 sq.yds

hey can someone tell me why 132 is wrong? and help me with the right answer pls

Answers

Answer:

∠CBA = 132

Step-by-step explanation:

Bisectors split up an angle into two identical angles

Thus, 7x - 11 = 2x + 44

This is the equation we will use to solve for x

7x - 11 = 2x + 44

step 1 add 44 to each side

44 + 11 = 55

-11 + 11 cancels out

we now have 7x = 2x + 55

step 2 subtract 2x from each side

7x - 2x = 5x

2x - 2x cancels out

we now have 5x = 55

step 3 divide each side by 5

5x / 5  = x

55 / 5 = 11

we're left with x = 11

The question is asking for the measure of ∠CBA

To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )

7(11) - 11

7 * 11 = 77

77 - 11 = 66

66 * 2 = 132

what is the best estimate of 10​

Answers

Answer:

Step-by-step explanation:

It's 10 since it's a whole number.

Different size containers. Tanner used for storing dry goods. The largest container held 12 /3/4 cups of dry goods. 2/3 of the amount in container a, 2/3 of the amount in container b. What was the total amount in cups of dry goods. That tanner could store in all three containers

Answers

Answer:

29 3/4 cups

Step-by-step explanation:

total amount of tanner in the 3 containers = sum of tanners in each container

total cups in containers b and c = 2/3 x 12 3/4

2/3 x 51/4 = 17/2 cups or 8 1/2 cups

total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4

Jasmine is planning a ski trip in the mountains with her friends. She can rent skis at the resort for $30 per day or she can buy skis to take with her for $150. Jasmine will also have to budget for a lift pass that costs $15 per day. How many days does she need to plan to ski in order for the cost of renting versus buying skis to cost the same for the trip?

Answers

Answer:

5 days.

Step-by-step explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.

What is the slope of the line?
y +3= -4(x+7)
Choose 1 answer

Answers

Answer:

B

Step-by-step explanation:

Draw the graphs of the equations y=8/3x and y=-8/3x on the same coordinate plane. Name their point of intersection as p. State the coordinate of the point p.​

Answers

Answer:

Here we want to graph the equations:

f(x) = y =(8/3)*x

and

g(x) = y = -(8/3)*x

To graph these you need to find some coordinate points of each one, and then connect them, such that the graph of these two equations can be seen below.

Where the blue one is f(x) and the green one is g(x)

We now want to look at the graph and find the point of intersection p.

By looking at the graph below, we can see that the intersection is at the origin, then p = (0,0)

Also remember that an intersection of two functions means that:

f(x) = g(x)

for that particular x value, then we can solve this for our functions and get:

(8/3)*x = -(8/3)*x

That equation is only true when x = 0

Then we have the intersection at x = 0, and the correspondent y value is given by f(0) or g(0) (will be the same value)

y = f(0) = (8/3)*0 = 0 = -(8/3)*0 = g(0)

Then we also found analytically that the intersection is in the point (0, 0)

3. {MCC.7. RP.2b} *
What is the slope below?
I need help!!

Answers

C. 2/3 is the answer.

a A Straight line passes through A(-2,1) and B(2,-k). The
line is perpendicular to a line 3y+2x=5 . determine k

Answers

Given :

A Straight line passes through A(-2,1) and B(2,-k).

The  line is perpendicular to a line 3y+2x=5 .

To Find :

The value of k.

Solution :

Let, slope of line is m.

We know, product of slope of in straight line is -1.

[tex]m \times \dfrac{-2}{3} = -1\\\\m = \dfrac{3}{2}[/tex]

We know, slope is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{3}{2}\\\\\dfrac{1-(-k)}{-2 - 2} = \dfrac{3}{2}\\\\\dfrac{1+k}{-4} = \dfrac{3}{2}\\\\k = -7[/tex]

Therefore, the value of k is -7.

PLEASE ANSWER ALL OF THESE QUESTIONS, WORTH 25 POINTS WITH STEPS/EXPLAIN

Answers

Go to slander and put your type of textbook and page number. It will give u all the answers there

A team of scientists is traveling by boat to study a pod, or group, of dolphins. The equation y = 0.2x can be used to find the distance, y, in miles the boat travels in x minutes. The dolphins are currently 8.4 mi from the boat. If the dolphins stay to where they are, how long will it take the boat to reach them? Show your work.

Answers

Answer:

42 minutes.

Step-by-step explanation:

We know that:

y = 0.2*x

is the equation that that defines the distance, in miles, that the boat travels in x minutes.

We know that the dolphins are at 8.4 miles from the boat.

Then when we have y = 8.4, this will mean that the boat reached the dolphins.

Then we need to solve the equation:

y = 8.4 = 0.2*x

for x

To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:

8.4/0.2 = (0.2*x)/0.2

42 = x

And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.

Which of the following is equivalent to ( 16 3/2) 1/2

Answers

Answer:16 ^ 1.5 (or 3/2) = 64

64 ^ 0.5 (or 1/2) = 8

8 should be your answer

Step-by-step explanation:


Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into
the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents
the total amount of money in Victoria's account at the end of the nth year?
O 2-1.02( 29–1 +15): 2, - 215
O an - 15+1.02a-; 24 - 215
O2,- 1.02(2-1 +15); 24 - 200
an= 15+1.02an-1; - 200
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Answers

Answer: c

Step-by-step explanation:

Edge 2021

Answer: C

Step-by-step explanation:

got it right

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