A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?

Answers

Answer 1

Answer:

The value of the larger number is

[tex]x=24[/tex]

Step-by-step explanation:

A number, x, is 4 times another number, y.

[tex]x=4y[/tex] --------- (1)

The difference between the two numbers is 18.

[tex]x-y=18[/tex] -------(2)

Re-arranging equation (2) yields

[tex]-y=18-x\\y=x-18[/tex]------------- (3)

Substitute y=x-18 in equation (1)

[tex]x=4 (x-18)[/tex]

[tex]x=4x-72\\x-4x=-72[/tex]

[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]

Substitute x=24 in equation (3)

[tex]y=24-18\\y=6[/tex]


Related Questions

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answers

Answer:

h = 14.5 ft

Step-by-step explanation:

Apply trigonometric ratio formula to find h:

reference angle = 46°

Opposite side = h

Adjacent side = 14 ft

Thus:

Tan 46 = h/14

Multiply both sides by 14

14*tan 46 = h

h = 14.4974243

h = 14.5 (nearest tenth)

20b<300 solve the inequality and graph the solution

Answers

Answer: b<15

Step-by-step explanation: Divide each term by

20 and simplify inequality form: b<15

i bet nobody will anser this =P. Solve 52.425 divided by 0.5

Answers

Answer:

104.85

Step-by-step explanation:

c:

Answer:

104.85

Step-by-step explanation:

52.425/0.5=104.85

A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20

Answers

Answer:

i think option b is correct

Step-by-step explanation:

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).

Answers

Answer:

Area of a rectangle (A)= length(l) *Width(w)

l=(x-7)

w=(5x+3)

:. A= (x-7)(5x+3)

=5x(x-7)+3(x-7)

A=5x^2-35x+3x-21

A=5x^2 -32x -21

The area is in algebraic expression

Step-by-step explanation:

subtract -2x from -8x.

Answers

Answer:-6x

Step-by-step explanation:

=-8x-(-2x)

=-6x

Hope it helped you.

Plz mark me brainliest.

Answer:

-6x

Step-by-step explanation:

-8x - (-2x)

-8x + 2x

-6x

In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.

Answers

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

10.8 as a fraction please answer

Answers

Answer:

1 2/8 or 10/8

Answer: 54/5

Step-by-step explanation:

3h+5 when h =4 23 points

Answers

Answer:

3*4= 12 12+5=17

Step-by-step explanation:

hav a great day :P

Answer:

17

Step-by-step explanation:

3h + 5    h=4

plug in 4 for h

3(4) + 5

12 + 5

17

Hope this Helps!!!

h(n) = 3^n+3; Find h (3n)

Answers

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?​

Answers

Answer: -8

Step-by-step explanation:

Solve for x  

5 (x − 2) = 3 (x − 4) − 14  

5x − 10 = 3 (x − 4) − 14

5x − 10 = 3x − 12 − 14

5x − 10 − 3x  = −26

2x  = −26 + 10

2x  = −16

x = −8

Answer:

answer of this equation is (-8)

:-))

Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.

Answers

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

Name two planes that intersect in SW in the
figure to the right

Answers

Plane XTS and Plane VRS

A option

if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range ​

Answers

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Highest Value = 13Lowest Value = 6

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.

Answers

Answer:

The degree is even and the function is even.

Step-by-step explanation:

The graph is a parabola, indicating that the degree is even.

The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.

The degree of the function is even and the function will be even.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is graphed below.

The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.

Then the equation of the curve will be

f(x) = ax² - 30

Where a is the leading coefficient.

Then the degree of the function is even and the function will be even.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles per hour. Which equation best describes how many, m, miles are left after driving, h, hours?

Answers

Answer:
Divide for H
Step-by-step explanation:
H=10.5538462

?????????????????????????????

Answers

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, I will follow u back

Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

3x + 2z - 4y - 6 + 4z + 7y


x = 2, y = 1, z = -3

plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!

Answers

Answer:

3x(2z+4z)+(−4y+7y)−6

Step-by-step explanation:

1 Collect like terms.

3x+(2z+4z)+(−4y+7y)−6

2 Simplify.

3x+(2z+4z)+(−4y+7y)−6

3x+6z+3y−6

Write the equation of the function on the graph.​

Answers

Answer:

[tex] \huge \boxed {y = |x| + 3}[/tex]

Step-by-step explanation:

Similar to Parabola, except this is Modulus Function.

[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]

From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.

Both slopes are also 1 (from rise/run)

Hence, the answer is

[tex]y = |x| + 3[/tex]

hi, can you please do these? thanks for helping!​

Answers

Answer:

i will answer you other if u rate me brainliest

Answer: (A) 1/10: 5 9/10 :5/6

(B) 3 3/4: -2 7/50

(C) 8 5/8 : 4/9

(D)2 2/5: 2 67/210: -2 2/3

(E)-1 1/2 : 81/128

Step-by-step explanation:

hopes this helps

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

annyone wanna help 9x-14=22

Answers

Answer:

4

Step-by-step explanation:

Answer to question is: X=4

Help foR 100 pointttttttt

Answers

Answer:

nothing is here you'd have to put something to see if people can help

Answer:

ye

Step-by-step explanation:

Solve for p.
p - 879 = -284
p =

Answers

The answer is 595 ooookkkkkk

Times it by 6 and take away 10 and the result is 44

Answers

Answer:

(for your second question) 23.69

Step-by-step explanation:

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

D

Step-by-step explanation:

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