The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers?

Answers

Answer 1

Answer:

4x+x=40

5x+40

x=8

8, 32

Step-by-step explanation:

Answer 2

Answer:

8 and 32 are the numbers

Step-by-step explanation:

4x + x = 40

4x + x= 5x

5x + 40

40/5= 8

x= 8

and

40-8= 32

x= 32


Related Questions

Consider the numbers z= sqr2 (cos 45º + i sin 45° )and w = 2(cos 90° + i sin 90).

Fill in the blanks to complete the statements.

In rectangular form, z - w = 1 - i

In polar form z-w=

= sqr2 (cos + i sin )

Answers

Answer:

RECTANGULAR FORM: z -w = 1- 1i

POLAR FORM: z-w = √2(cos135°+i sin135°)

Step-by-step explanation:

Find the image attached

Given the following complex numbers

z = √2 (cos 45º + i sin 45° )

w = 2(cos 90° + i sin 90).

The complex number in rectangular form is expressed as z = x+iy

(x, y) are the rectangular coordinates

Given

z = √2 (cos 45º + i sin 45° )

z = √2 (1/√2+ ( 1/√2)i )

z =  √2(1/√2) +  √2(1/√2)i

z = 1 + i .... 1

Also;

w = 2(cos 90° + i sin 90)

w = 2(0 + 1i)

w  = 2(0) + 2i

w = 0+2i ....2

Take their difference:

z - w = 1 + i - (0+2i)

z-w = 1+i-0-2i

z-w = 1-0+i-2i

z-w = 1-i

Hence the values that goes into the box is 1.

z-w = 1 - 1i

In Polar form;

Get the modulus of the resulting complex number:

|z-w| = √1²+1²

|z-w| = √2

Get the argument:

[tex]\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}(\frac{-1}{1}) \\\theta = tan^{-1}(-1) \\\theta = -45^0[/tex]

Since tan is negative in the second quadrant, the angle will be 180-45 = 135°

The polar form of the complex umber is expressed as;

z-w = |z-w|(cosθ-isinθ)

z-w = √2(cos135°+i sin135°)

Answer: 1, 315, 315

Step-by-step explanation: right on edge

Write the following fractions in decreasing order: 4/7, 11/15, 2/3.

Answers

Answer:

11/15 4/7 2/3

Step-by-step explanation:

How far does th train go in 100 minutes

Answers

Answer:

it depends on the train

Step-by-step explanation:

Order the numbers from least to greatest

Answers

Answer:

1. sqrt of 7, sqrt of 22, 5

2. 2, sqrt 8, 3, sqrt 10

3. 2.5, sqrt 9, pi

4. pi, sqrt 10, 3.5

Step-by-step explanation:

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

Answers

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

I will branilest this the correct answer

Which situation would require determining volume?

a. Rami wants to know how far it is around the border of his garden.

b. James wants to know how much dirt can fit into a box.

c. Aisha wants to know how much space her rug covers.

d. Eloise wants to know how tall her cabinet is.

Answers

Answer:

c. or d

Step-by-step explanation:

The answer is b. (James wants to know how much dirt can fit into a box)

This situation requires you to know the volume of the box so that you can know how much dirt to put in it.

Happy to help

you have been given an engine repair job that has a job time of 7 hours how many minutes should you allow for your job?​

Answers

Answer:

[tex]Job\ Time = 420\ minutes[/tex]

Step-by-step explanation:

Given

[tex]Job\ Time = 7\ hours[/tex]

Required

Determine the job time in minutes

To do this, we simply convert the time to minutes.

[tex]1\ hour = 60\ minutes[/tex]

[tex]7\ hours = 7 * 60\ minutes[/tex]

So, we have:

[tex]Job\ Time = 7 * 60\ minutes[/tex]

[tex]Job\ Time = 420\ minutes[/tex]

Hence, the job time in minutes is 420 minutes

A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?

need asap

Answers

Answer:

7×63=441

Step-by-step explanation:

441 cans of tennis

What is the opposite of 5/6?​

Answers

6/5 I’m not sure what your asking

Mrs. Barlow's math class took a test yesterday. Out of 70 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?

Answers

Answer:

49 students passed the test

Step-by-step explanation:

70/100=0.07 - 1%

0.07*70=49

Javien purchases a video game for $19. The store charges him 8% sales tax on the purchase. How much will the store charge for the purchase, including the sales tax?

Answers

Answer:

$20.52

Step-by-step explanation:

19x0.08 (that's 8% or 8/100) = $1.52

$19+$1.52= $20.52 :)

Can u guys help me quick plz I will make brainliest (I need help with 32)plzzzz

Answers

Answer:

A

Step-by-step explanation:

Use one or more properties to rewrite each expression as an expression that does not use parentheses.

Answers

Answer:

b + 9

Step-by-step explanation:

Given:

(b + 3) + 6

Required:

Rewrite expression without the parentheses.

SOLUTION:

(b + 3) + 6

Eliminate the parentheses

b + 3 + 6

Add like terms

b + 9

Thus:

(b + 3) + 6 = b + 9

Find the value of x in the isosceles triangle shown below. 12 10 Choose 1 answer:​

Answers

Answer:

please complete your question. where is figure.

4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?​

Answers

Answer:

4. His classmate's daily allowance is of P100.

5. She used 25% of the sheets of art paper.

Step-by-step explanation:

4. Manuel, a son of a school janitor, does not ask for more. He has a daily

allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?

An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So

[tex]0.2x = 20[/tex]

[tex]x = \frac{20}{0.2}[/tex]

[tex]x = 100[/tex]

His classmate's daily allowance is of P100.

5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?​

She used 6 sheets, of the 24. So

[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]

She used 25% of the sheets of art paper.

WILL MARK BRAINLYIST!!
AND GIVE 20 POINTS!!
Use the slider to change the scale factor from 1 to 4. A
scale factor of 4 represent
a reduction
an enlargement
doubling
tripling

Answers

Answer:

B).Second choice an enlargement.

Step-by-step explanation:

Answer:

B. An Enlargement

Step-by-step explanation:

Hope this helps:)

Use the formula
d
=
(
r

c
)
t
to find
c
if
d
=
20
,
r
=
13
, and
t
=
4
.

Answers

Answer:

c = 8

Step-by-step explanation:

d=(r-c) t=?

20=(13-c)4=?

(13-c) * 4/ 4 =20/4

13-c=5

13-c-13=5-13

-c= -8

-c/-1 = -8/-1

answer is c=8

PQR is a translation of PQR. What are the rules?

Answers

Answer:

Step-by-step explanation:

Solve the equation: (again, watch your negative signs) 1/3 (x - 10) = -4
pls help me!...​

Answers

Answer:

x = -22

Step-by-step explanation:

first you distribute the 1/3 to x and -10 and get

1/3x - 10/3 = -4

then add -10/3 to both sides and get

1/3x = -22/3

then divide both sides by 1/3 and get

x = -66/3

(-66/3 simplified is -22)

hope this helped lol

Pleaseee help I’m so close to passing math

Answers

It would be the last one so =p-p/20

Answer:

s=0.20p

Step-by-step explanation:

Tell me if I am wrong

Help fast functions help

Answers

C because there can't be two different outputs for the same input.

I’m pretty sure it C as well because if you look at the photo there can’t be two different outputs it has to be the same

Help plz:)))I’ll mark u Brainliest

Answers

B is the correct answer

Answer:

The answer to the question provided is B.

__% of 80 is 40 What is the blank

Answers

Answer:

50

Step-by-step explanation:

40/80 = 1/2

1/2 ⇆ 0.5 ⇄ 50%

Verify identities Will give BRAINLIST do not give me trash!!


cot^2(x) - csc^2(x) = -1


show steps

Answers

Answer:

See proof below

Step-by-step explanation

cot^2(x) - csc^2(x) = -1

In trigonometry identity

cot^2x = cos²x/sin²x

Csc²x = 1/sin²x

Substitute into the original expression

cos²x/sin²x - 1/sin²x

Find the LCM

(Cos²x-1)/sin²x .... *

Recall that sin²x+cos²x = 1

Sin²x = 1-cos²x

-sin²x = -1+cos²x

-sin²x = cos²x-1 .... **

Substitute ** into *

(Cos²x-1)/sin²x

-sin²x/sin²x

= -1 (RHS)

Therefore cot^2(x) - csc^2(x) = -1 (Proved!)

A video game gives a special bonus when the player collects a coin if the player collects the coin at the
moment when the last digit of the milliseconds in the game's timer equals 1. Players don't see this timer, so
all 10 digits are equally likely, and there is a 1 in 10 chance that a player gets the bonus on any given coin
collected. Let C be the number of coins a player has to collect to first get the bonus. Assume that the last
digits are independent of each other.

Answers

Answer:

.07

Step-by-step explanation:

khan answer

Probabilities are used to determine the chances of events.

The probability that the player gets the bonus on the 4th coin is 0.0729

The probability (p) of getting a bonus is given as:

[tex]p = \frac 1{10}[/tex]

The probability (q) of not getting a bonus is calculated using the complement rule:

[tex]q = 1 - p[/tex]

So, we have:

[tex]q = 1 - \frac{1}{10}[/tex]

Take LCM

[tex]q =\frac{10 - 1}{10}[/tex]

[tex]q =\frac{9}{10}[/tex]

The event that the player gets the bonus on the 4th coin is represented as:

Event = qqqp

So, the probability is:

[tex]Pr = q^3p[/tex]

Substitute values for q and p

[tex]Pr = (9/10)^3 \times (1/10)[/tex]

Express as decimals

[tex]Pr = (0.90)^3 \times 0.10[/tex]

Multiply

[tex]Pr = 0.0729[/tex]

Hence, the probability that the player gets the bonus on the 4th coin is 0.0729

Read more about probability at:

https://brainly.com/question/7965468

HELP
Factor
6x^2+10x-4

Answers

Answer:

46x-4 i think

6x^2= 36x

36x + 10x = 46x

so 46x-4 is the answer

help with geometry PLEASE!

Answers

The answer is 62 because the question is asking for angle avc + cab

What is the area of the figure?
ignore that I've already clicked an option that was on accident.

Answers

Answer:

D i think

Step-by-step explanation:

Find the complement and supplement of the given angle 43 degrees

Answers

Answer:

The complement is 47° and the supplement is 137°.

Step-by-step explanation:

Complementary and Supplementary Angles

When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.

We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.

The complement is 47° and the supplement is 137°.

Find the value of x in the figure below:

Answers

Answer:

let remaining angle in heptagon be a.

a+64=180(linear pair)

a=116

again

x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)

x+529+a=720

x+116=720-529

x=191-116=75

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