The sum of two numbers is 54. One number is 5 times the other. Find the numbers.

Answers

Answer 1

Answer:

9 and 45

Step-by-step explanation:

x + 5x = 54

6x = 54

x = 9

5x = 45

Answer 2

Answer:

let the number be x

hence the other number is 5x

we know that

5x + x = 54

6x = 54

x = 54/6

x = 9

so as x equals to 9,

5x = 9×5

5x = 45


Related Questions

9. A parallelogram is formed by the supports
that attach a basketball backboard and rim to
the wall. The angles change as the basketball
apparatus is taken out and put away. If
ZDAB = 28º and ZADC = 7x + 26, solve for
X.

Answers

Answer:

X=18

Step-by-step explanation:

I got x=18 I don't have the work but I know it is right I have the key to a final review with that problem on it!

Hey yall please help me I suffer from short time memory loss and it's hard for me to focus and remember☹ Examine parallelogram QU AD below. U (5x + 1) (62 - 12)° D A Determine which of the following values are correct. Select all that apply. Or = 13 OmZQ = 114° mZD = 66​

Answers

m<A = 114° , m<Q = 114° , m< D= 66° ,m<U = 66°

x=13

FIRST THREE OPTIONS

A,B,C

Answer:

[tex]x = 13[/tex]

[tex]m<Q = 114°[/tex]

[tex]m<D = 66°[/tex]

Step-by-step explanation:

First option :

[tex](5x+1)=(6x−12)[/tex]

[tex]5x+1−6x=−12[/tex]

[tex]−x+1=−12[/tex]

[tex]−x=−12−1[/tex]

[tex]−x=−13[/tex]

[tex]x=(−13) \times (−1)[/tex]

[tex]x = 13[/tex]

Second option :

<D = 6(13) - 12

= 78 - 12

= 66°

Third option :

<A + <D = 180°

<D = 180 - 66

= 114°

Hope it is helpful...

Solve the right triangle. Round decimal answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

take angle A as reference angle

using cos rule

cos A = adjacent/hypotenuse

cos A =10/15

cos A =0.66

[tex]A=cos^{-1} (0.6666)[/tex]

A=48.194

A=48.2

angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)

48.2 + angle B + 90 =180

138.2 + angle B =180

angle B =180-138.7

angle B =41.8

for BC

using pythagoras theorem

a^2 + b^2 = c^2

AC^2 + BC^2 = AB^2

10^2 + BC^2 = 15^2

100 + BC^2 = 225

BC^2 = 225-100

BC^2 = 125

[tex]BC=\sqrt{125}[/tex]

BC=5[tex]\sqrt{5}[/tex]

BC=11.2

Which quadratic function is represented by the graph? 3 O y = 0.5(x + 2)2 + 4 O y = 0.5(x + 3)2 -0.5 O y = 0.5(x - 3)2 -0.5 O y = 0.5(x - 2)2 + 4 2 (20) 1(4.0) 2 6 (3,-0.5) 2 X​

Answers

Answer:

No solution is possible from the given information.

Step-by-step explanation:

This isn't Hogwarts.

If you don't include the graph we can't magically see it.

Solve 16x + 8 ≥ 12x + 20

Answers

Answer:

x ≥ 4

Step-by-step explanation:

16x + 8 ≥ 12x + 20

Subtract 12 from both sides

4x + 8 ≥ 20

Subtract 8 from both sides

4x ≥ 16

Divide both sides by 4

x ≥ 4

Please help! And also with a detail explanation so I can solve the next one on my own !

Answers

Answer:

sin D = 0.25

Step-by-step explanation:

If ∠E = 90°, it means that the triangle is a right angle triangle.

Thus, hypotenuse will be the longest side which will be DC = 65

Since we are given CE = 16 and ED = 63, I have attached a diagram showing this triangle.

From the diagram, since we are looking for sin ∠D, we can say that;

sin D = opposite/hypotenuse

Now, opposite = CE = 16

Hypotenuse = CD = 65

Thus;

sin D = 16/65

sin D = 0.2462

Approximating to the nearest hundredth gives;

sin D = 0.25

Based on the information marked in the diagram, ∆XYZ and ∆RST must be congruent.

A) True
B) False

Answers

The answer is A true

Answer:

Can confirm the answer is true

Step-by-step explanation:

Just took the test

Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds? Henry's design would result in a larger flower bed because its area would be 2,500 square feet. Liani's design would result in a larger flower bed because its area would be 2,500 square feet. Henry's and Liani's designs would result in flower beds with the same area. Henry's and Liani's designs are not possible with the given amount of wood.

Answers

Answer:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Step-by-step explanation:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

B. Liani's design would result in a larger flower bed because its area would be 2,500 square feet.

C. Henry's and Liani's designs would result in flower beds with the same area.

D. Henry's and Liani's designs are not possible with the given amount of wood.

Length of wood = 200 feet

Henry's square bed design = 200 feet / 4

= 50 feet

Note: A square has 4 equal sides, hence, the division by 4

Each side of the square bed = 50 feet

Area of the square bed = length ²

= (50 feet)²

= 2,500 square feet

Liani rectangular bed design

Length = 55 feet

Width = 45 feet

Note: adding of 2 length and 2 width = 200 feet

That is,

2(55) + 2(45)

= 110 + 90

= 200 feet of wood

Area of Liani rectangular bed design = length × width

= 55 feet × 45 feet

= 2,475 square feet

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Answer:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Step-by-step explanation: magic

Is the product of -2x^3 + x - 5 and x^3 - 3x 4 equal to the product of x^3 - 3x - 4 and -2x^3 + x - 5? Explain your answer.

Answers

Step-by-step explanation:

hear is your answer in attachment

Thank you to the person that is helping me. I don’t understand this one at all..

Answers

It’s B sorry if I’m wrong:(((

please help!!!
what is the following sum?​

Answers

Answer:

I think the answer is A

8x³y⁴ ³squareroot xy

Step-by-step explanation:

Mark as brainllest if it helps!!!

Rujuan
If angle X and Y are complementary angles, which of the following must be true?
O sinX = siny
O cosx = cosY
O tanX = tany
O sinX = COSY

Answers

Answer:

Sin X=Cos Y

Step-by-step explanation:

Objective: Understand trigonometric relations such that

Cosine and Sine are similar to complementary angles that if X+Y are complementary angles,

Cos X= Sin Y and Cos Y= Sin X

Help this is worth 100 points


One thousand represents three hundred fifty plus a number. Find the number.

Answers

One thousand represents three hundred fifty plus a number. So, the number will be 650.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have been given that

One thousand represents three hundred fifty plus a number.

Let the number be x, so

The expression will be as

1000 = 350 + x

x = 1000 - 350

x = 650

Learn more about the addition;

https://brainly.com/question/17163840

#SPJ2

Megan bought beads for $9.95. She received a 10% discount. She then paid, a sales tax of 6%. How much did she pay for the beads?

Answers

9.95 x .10 = .995
9.95 - .995 = 1.00 if you round up
9.95 - .1.00 = 8.95
8.95 x .06 = .54
8.95 + .54 = $9.49 the amount she paid for the beads

RDY and NDA are:
Check all that apply.
N
А
O A. complementary.
B. vertical angles.
O C. a linear pair.
O D. supplementary.

Answers

Answer:

B. Vertical Angles

D. Supplementary

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3

Answers

Answer:

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

Step-by-step explanation:

[tex]f(x)=x^5-3x^3[/tex]

[tex]0=x^5-3x^3[/tex]

[tex]x^5-3x^3=0[/tex]

[tex]x^3(x^2-3)=0[/tex]

[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

See the graph for a visual of the x-intercepts.

What value of x makes x/20 and 3/4 proportionate

Answers

The Answer is x=15. Good luck!

Answer:

Step-by-step explanation:

the fractions have to be equivalent to be in proportion so notice that

20 = 4·5  so

[tex]\frac{3}{4} = \frac{3*5}{4*5} = \frac{15}{20}[/tex]

x= 15 because  15/20 is proportionate with 3/4

$En la cima del Chopicalqui se encuentra un alpinista, si la cima está a una altura de 6746 m. desciende 429 m. Otro alpinista se encuentra a 280 m antes de la cima y luego asciende 115 m. ¿Cuál es la diferencia entre las alturas en las que se encuentran los 2 alpinistas? por fa doy corona y corazon

Answers

Answer:

La diferencia entre las alturas en que se encuentran los 2 alpinistas es de 264 metros.

Step-by-step explanation:

Dado que en la cima del Chopicalqui se encuentra un alpinista, si la cima está a una altura de 6746 m y éste desciende 429 m, mientras que otro alpinista se encuentra a 280 m antes de la cima y luego asciende 115 m, para determinar cuál es la diferencia entre las alturas en las que se encuentran los 2 alpinistas se debe realizar el siguiente calculo:

(6746 - 429) - (6746 - 280 + 115) = X

6317 - (6466 + 115) = X

6317 - 6581 = X

-264 = X

Por lo tanto, la diferencia entre las alturas en que se encuentran los 2 alpinistas es de 264 metros.

AIR TRAVEL - an airplane traveling at an altitude of 5,900m changes its altitude by - 2,900m. What does this change in altitude mean ?

Answers

Answer:

Step-by-step explanation:

altitude -2900 m means its height decreases by 2900 m or it comes down by 2900 m

cuanto es 8por8por5por3

Answers

Answer:

yes

Step-by-step explanation:

Answer:192

Step-by-step explanation:


What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 5?

Answers

Answer:

The slope is 4 and the y intercept is -5/2

Step-by-step explanation:

8x-2y = 5

Solve for y to get the equation in slope intercept form

Subtract 8x from each side

8x-8x-2y =-8x+ 5

-2y = -8x+5

Divide by -2

-2y/-2 = -8x/-2 + 5/-2

y = 4x -5/2

This is in slope intercept form y= mx+b where m is the slope and b is the y intercept

The slope is 4 and the y intercept is -5/2

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST (and correctly ofc)

Answers

Answer:

y = 3 (4)^x

Step-by-step explanation:

quadruples means multiplies by 4

This equation is in the form

y = ab^x  where a is the initial amount and b is the amount we multiply by

y = 3 (4)^x

Answer:

B

Step-by-step explanation:

The exponential model is of the form

y = a[tex]b^{x}[/tex]

where a is the initial amount and b the growth rate

Here a = 3 and b = 4 , then

y = 3 [tex](4)^{x}[/tex] → B

What is the perimeter of a trapezoid?Units

Answers

20 units





Perimeter =add up all sides.




Perimeter = 5+1+5+9

=20 units

Victor draws one side of equilateral ∆PQR on the coordinate plane at points P (–9, –2) and Q (–2, –2). What are the two possible coordinates of vertex R? Round to the nearest tenth.

Answers

Answer: [tex](-5.5,4.062)\ \text{and}\ (-5.5,-8.062)[/tex]

Step-by-step explanation:

Given

The two vertices of a equilateral triangle are [tex](-9,-2)\ \text{and}\ (-2,-2)[/tex]

Suppose the third vertex is [tex](x,y)[/tex]

Side length in equilateral triangle are equal.

[tex]\Rightarrow \sqrt{\left( -2+9\right)^2+\left( -2+2\right)^2}=\sqrt{\left( x+9\right)^2+\left( y+2\right)^2}\\\text{squaring both sides}\\\\\Rightarrow 7^2=\left( x+9\right)^2+\left( y+2\right)^2\quad \ldots(i)\\\\[/tex]

Similarly,

[tex]\Rightarrow \sqrt{\left( -2+9\right)^2+\left( -2+2\right)^2}=\sqrt{\left( x+2\right)^2+\left( y+2\right)^2}\\\\\Rightarrow 7^2=\left( x+2\right)^2+\left( y+2\right)^2\quad \ldots(ii)[/tex]

Subtract (i) and (ii)

[tex]\Rightarrow \left( x+9\right)^2-\left(x+2\right)^2=7^2-7^2\\\\\Rightarrow (x+9+x+2)(x+9-x-2)=0\\\Rightarrow (2x+11)7=0\\\\\Rightarrow x=-\dfrac{11}{2}[/tex]

Insert the value of [tex]x[/tex] in equation (ii)

[tex]\Rightarrow \left(-5.5+2\right)^2+\left(y+2\right)^2=7^2\\\\\Rightarrow \left(-5.5+2\right)^2+\left(y+2\right)^2-\left(-5.5+2\right)^2=7^2-\left(-5.5+2\right)^2\\\\\Rightarrow \left(y+2\right)^2=36.75\\\\\Rightarrow y=4.06217\dots ,\:y=-8.06217[/tex]

So, two possible vertex are [tex](-5.5,4.062)\ \text{and}\ (-5.5,-8.062)[/tex]

Pls help I will mark u as brainliest

Answers

Answer: The line segments AB and EF are both equal

Answer:

The lines are both equal.

Step-by-step explanation:

AB and EF are the same lengths.

Help I have to submit it

Answers

The answer is C

Hope that helps

Please help me with this

Answers

Answer: [tex]a_{n}=4n+-3[/tex]

Step-by-step explanation:

The way arithmetic sequences are usually written is:

[tex]a_{n} =a_{1} +(n-1)d[/tex]

[tex]a_{n}[/tex] is the the term you are looking for. It has an n because we aren't looking for a specific one.

[tex]a_{1}[/tex] is the first term of the sequence. In this case that is 1.

n is the term position. Meaning if you wanted to find the fifth term you'd sub 5 in for n.

d is the common difference. In this case it is 4.

Now we can sub these values in.

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

We can simplify the right part of the equation.

[tex]a_{n} =1 +(n-1)4\\a_{n} =1 +(4)(n)-(4)(1)\\a_{n}=1+4n-4\\a_{n}=4n+1-4\\a_{n}=4n+-3[/tex]

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

(-infinity, 9]

Step-by-step explanation:

The range of the function is 'all real numbers less than or equal to 9.'  We are told that the vertex is at (-2, 9) and that the curve opens downward, which indicates that 9 is the maximum function value, and that the function can take on any value less than or equal to 9.

The domain is 'the set of all real numbers,' which is true for any polynomial.

Please help me! It is very important that I get this done but I am beyond confused!
Brandt invests an initial amount P of $180 into an account that pays interest at 2.5% compounded continuously. Carter invests $120 into an account that pays 4.8% compounded continuously. The balance of each investment, A, is calculated using the equation A=Peⁿ. The graph shows their investments over time.
When will their investments reach the same balance?

a. Their investments will never reach the
same balance.
b. Their investments will reach the same
value between years 15 and 16.
c. Their investments will reach the same
value between years 16 and 17.
d. Their investments will reach the same
value between years 17 and 18.
e. Their investments will reach the same
value between years 18 and 19.

Answers

Answer:

Step-by-step explanation:

i think it should be d 16 and 17


Describe the difference between a relation and a function

Answers

Answer:

A relation can have 2 output to 1 output bt not a function

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