The sum of two numbers is 8. When four times the smaller
number is added to two times the larger number, the result
is 18. What is the larger number?
7
6
5
4​

Answers

Answer 1

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

Answer 2

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:


Related Questions

Find four consecutive negative integers whose sum is -42

Answers

Answer:

-12, -11, -10 and -9 add up to -42

Step-by-step explanation:

We can solve this by expressing all four of those integers relative to the first one:

[tex]x + (x + 1) + (x + 2) + (x + 3) = -42\\4x + 6 = -42\\4x = -48\\x = -12[/tex]

so we know that the lowest one is -12, and the other three are sequentially higher value:

-12, -11, -10 and -9

Answer: -12, -11, -10, -9

Step-by-step explanation:

they all add up to -42

PLEASE HELP!!
just look at the picture

Answers

Answer:

its the  math that solve

Step-by-step explanation:

Which line has an equation of y = -5x + 4 in slope-intercept form?

a line passing through the points (1,9) and (3,19)

a line passing through the points (2,-14) and (4,-24)

a line passing through the points (1,1) and (3,11)

a line passing through the points (2,-6) and (4,-16)

Answers

Answer:

its the forth one i got it right

Step-by-step explanation:

En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?

Answers

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)

Donde:

[tex]n_{V}[/tex] - Total de latas de atún, adimensional.

[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.

[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.

[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

[tex]n_{V} = 400[/tex] (2)

[tex]n_{l} = n_{w} +5[/tex] (3)

[tex]n_{h} = n_{w}+3[/tex] (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]

[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]

[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]

En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):

[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)

[tex]n_{A} = (5)\cdot (10)[/tex]

[tex]n_{A} = 50[/tex]

Hay 50 latas en total que tocan el fondo de la caja.

Determine the range of the following graph:

Please answer quick. I only have 2 minutes to answer each question. Please!!!

Answers

Answer: (1, 8]

Step-by-step explanation:

The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.

If you took all of the DNA out of your body would it all fit on a plate? If not a plate what would it fit in? WILL GIVE BRAINLIEST

Answers

About twice the diameter of the solar system!:)

How many american dollars can be cxchanged by NRs100000​

Answers

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!

I WILL GIVE YOU BRAINLIST HURRY

Which expression is equivalent to 3(2x+1)−(x−1)
?
A
3x+6
B
5x+2
C
5x
D
5x+4

Answers

Answer:

b

Step-by-step explanation:

3(2x+1)-(x-1)

\ / / /

5x+2

Answer:

fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg

Step-by-step explanation:


anyone know this? i’m to lazy

Answers

Answer:

1215

Step-by-step explanation:

Find the number that belongs in the green box.

Round your answer to the nearest tenth. ​

Answers

Answer:

49.4 degrees

Step-by-step explanation:

SOHCAHTOA

tan x = opposite / adjacent

tan x = 7 / 6

using graphing calculator, you get x = 49.398 round to tenth = 49.4 degrees

please give thanks :)

HELP! IS THIS RIGHT?

Answers

Answer:

60x+300=96x-24

324=36x

x=324/36

x=9

yes it is correct

Question below in image

Answers

33 is correct good job

How to divide 7 divided by 7/4

Answers

Answer:

4

Step-by-step explanation:

7÷7/4

in these cases we multiply by the reciprocal

7× 4/7

7 and 7 can be cancelled with each other

the remaing answer = 4

Answer:

1/4

Step-by-step explanation:

First, since the numerator is 7 you want to see how many times you can divide that.

So, you can only divide 7 by 7 1 time so that turns into 1.

Hence, your numerator is now 1 and denominator stays the same so its..

                       

                                                    1/4

Write two truths and a lie about the graph shown below (I have no idea what they are trying to ask)

Answers

What they are asking is tell to true things about the graph. And one thing that is untrue about it. For example: Lie, The slope of this graph is 5. Truths, The graph is steep, and has a constant rate of change.

Round 2.92538 to the nearest thousandths

Answers

Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

HELP PLEASE HELP!!!!!

Answers

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Answer:

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Step-by-step explanation:

Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (4 points)

Coordinate grid with points labeled home, video store, fast snacks, and grocery store. Home is located at negative 3, 4, video store is at 4, 4, fast snacks is at negative 3, negative 3, and grocery store is at 4, negative 3.

Group of answer choices

14 units

21 units

28 units

35 units

Answers

14 units is the best choice

In a unit circle, ø= 90°. Identify the terminal point and sin Ø.
A. Terminal point: (0,1); sin ø= 1
B. Terminal point: (1,0); sin ø=0 C. Terminal point: (1, 0); sin ø=1
D. Terminal point: (0,1); sin ø=0

Answers

Answer:

Terminal point: (0, 1); sinФ = 1 A

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

Ф = 90°

→ By using the 2nd rule above

∴ The terminal point is (0, 1)

sinФ = 1

Terminal point: (0, 1); sinФ = 1

What equation in slope intercept form represents the line that passes through the two points? (5, 6), (9, –2)
Anwsers
A. Y=2x- 16

B. Y= -1/2x- 16

C. Y= 1/2x+ 16

D. Y= -2x+ 16

Answers

First find slope
(-2-6)/(9-5) = -8/4 = -2
Y = -2x + b
6 = -2(5) + b, b = 16
Solution: D

Solve the triangle with the law of sines

Answers

Answer:

see below

Step-by-step explanation:

We can use the law of sines

sin 80             sin B

--------------- = -------------

31                       14

Using cross products

14 sin 80 = 31 sin B

14/31  sin 80 = sin B

.984807753 = sin B

Taking the inverse sin of each side

sin ^ -1 ( .444751888) =  B

26.41 = B

The sum of the angles of a triangle is 180

A+B+C = 180

80 + 26.41 + C =180

106.41 + C = 180

C = 73.59

We can use the law of sines to find c

sin 80             sin 73.59

--------------- = -------------

31                       c

c sin 80 = 31 sin 73.59

c =  31 sin 73.59 / sin 80

c = 30.20

AB = 30.20

4. Find x. Please help and explain.

Answers

Answer:

x is in top of 5.9

Step-by-step explanation:

hope it helps u find x and if you still cant find it try some glasses

Answer:

11.8

Step-by-step explanation:

because those two 5.9 if you look those two segments put together make a line that is the same length as x so if you add them up it's 11.8

help me on number 4 you get brainliest

Answers

Step-by-step explanation:

The car travels 600 feet in 20 seconds

=> 30 feet per second

The moyorcycle travels 300 feet in 12 seconds

=> 25 feet per second

Since 30 > 25, the car travels faster than the motorcycle.

Answer:

The car

Step-by-step explanation:

It tralves 600 ft in 20 seconds as compared to the motercycle travling 600 ft in 24 seconds

Which statement is true regarding the sides of a triangle

Answers

The statement that is true regarding the sides of a triangle is the last one because the top and bottom have to be identical to each other and the sides have to be identical to each other.

Help with all five questions on the image below, will give BRAINLIEST :D

Answers

Step-by-step explanation:

1. Six families are represented.

2. Four families have at least three children.

3. Range = 15 - 1 = 14

4. Only one family has at most one child


What is numerical coefficient of this term?
-3z

Answers

-3 because if you take apart your number then you get -3 and z.

Find the area of a square with radius of 10

Answers

Squares can’t have radius? Do you mean circle?
This formula, when properly solved, reveals that a side of the square equals half the diameter of the circle times the square root of 2. Because the area of the square is one of its sides multiplied by itself, the area equals the square of the circle's radius times 2.

Tickets to the school musical cost $6.25. The amount received from ticket sales is $706.25. How many tickets were sold?

Answers

Answer:

Step-by-step explanation:

if we received 706.25 dollars and a ticket is 6.25

706.25/6.25=113 tickets sold

Answer:

113

Step-by-step explanation:

You have to divided 706.25 by 6.25 and then you get 113. 113 is your anwser.

Hope this helped!

Evaluate the expression: 5x - 4y + 10 for x = 2, and y = -3

Answers

Step-by-step explanation:

5x - 4y + 10

= 5(2) - 4(-3) + 10

= 10 + 12 + 10

= 32.

Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]

Answers

The answer should be 59

Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n=
4
1

n, equals, start fraction, 1, divided by, 4, end fraction.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

Apparently, you want to evaluate ...

  0.1m +8 -12n

for m = 30 and n = 1/4.

Put the numbers where the corresponding variables are and do the arithmetic.

  = 0.1×30 +8 -12×(1/4) = 3 + 8 -3

  = 8

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