The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller number. Find the product of the two numbers.

Answers

Answer 1

Answer: y = 23

Step-by-step explanation:

let x = smaller number

let y = greater number

y = 4x - 5

y - x = 16

replace the value of y in the second equation you get

4x -5 -x = 16 ⇒ 3x - 5 = 16 ⇒ 3x = 21 ⇒ x = 7

finally,

y = 23


Related Questions

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

5

Step-by-step explanation:

Pick two points, so for example (1,2) and (3,12)

the formula for slope is (y2-y1)/(x2-x1)

plug in your coordinates

(12-2)/(3-1)

10/2

5

Answer:

slope (m) = 5

Step-by-step explanation:

(slope)

m = y2-y1 / x2 -x1

Take any of the arbitrary points and plug them into your slope formula.

Let's use (-1,-8) and (1,2) since they are not large numbers (it's easier this way).

-1 (x2) , -8 (y2)

1 (x1) , 2 (y1)

m = -8 - (2) / -1- (1)

= -10/-2

m =5

Help needed please! *will mark as brainliest if correct

Answers

2 gophers per day are getting removed

Is y=0.4x a proportional equation?

Answers

Yes it’s proportional.

17 x \frac{3}{7}[/tex]

Answers

Among us

Lollllllllllllllllll

Answer:

[tex]7 \frac{2}{7} [/tex]

Step-by-step explanation:

multiply 17 by

[tex] \frac{3}{7} [/tex]

it amounts to

[tex] \frac{51}{7} [/tex]

convert it to a mixed fraction

[tex]7 \frac{2}{7} [/tex]

(x^5-4x^3+4x^2)/(x-4)

Answers

Answer:

(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208    R 832   (or  + 832/(x-4))

Step-by-step explanation:

x-4=0 x=4  

    x⁴   x³     x²    x¹       x⁰

4  | 1     0    -4     4         0         0

   |        4    16   48    208    832                      

   _______________________

     1      4    12   52    208    832

(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208    R 832

clara has £7. she buys some chocolate bars at 63p each and has 7p left over. how many chocolate bars did she buy?

Answers

Answer:

11 bars

Step-by-step explanation:

Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.

The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.

After buying the chocolate bars, Clara has 7p left over.

Now we can write the equation:

Total money spent on chocolate bars + Money left over = Total money Clara has initially

63x + 7 = 700 (Since £7 is equivalent to 700p)

Now, let's solve for x:

63x = 700 - 7

63x = 693

x = 693 / 63

x = 11

To know more about chocolate bars:

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plz help me find x 9-10 but if you can do 9-12

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Question 9. The Angles (3 + 5x) and (x + 15) are forming linear pair, so

3 + 5x + x + 15 = 180

6x + 18 = 180

6x = 162

x = 27°

Question 10. Angle 58° + Angle (2x + 4) = 90, so

58 + 2x + 4 = 90

62 +2x = 90

2x = 28

x = 14°

Question 11. 5x = 70°

x = 70 ÷ 5

x = 14°

Question 12. Angle 106° and Angle (2x +4) forms linear pair, so

106 + 2x + 4 = 180

110 + 2x = 180

2x = 70

x = 35°

Answer:

9. [tex]x=27[/tex]

10. [tex]x=14[/tex]

11. [tex]x=14[/tex]

12. [tex]x=35[/tex]

Step-by-step explanation:

9. [tex]3+5x+x+15=6x+18[/tex]

==>> [tex]6x+18=180[/tex]; subtract 18 from 180 giving you 162, and finally 162 divided by 6 equals 27.

10.  [tex]90+58 = 148\\180 - 148 = 32\\2(14)+4=32[/tex]

11. 70 and 5x are congruent so, [tex]180-70=110; 110/5 = 35[/tex]

12. [tex]180-106=74; 74-4 = 70; 70/2 = 35[/tex]

Analyzing factors please help lol

Answers

Answer:

The second and last statement are true.

Step-by-step explanation:

f(0)=1/2(0)+3/2 = 3/2

f(4) =1/2(4)+3/2 = 7/2

Find the value of 7p – 3q when p= 8 and q = -5

Answers

Step-by-step explanation:

7p – 3q

if p= 8 and q = -5

7(8)-3(-5)

56+15

=71

Answer:

71

Step-by-step explanation:

7(8)-3(-5)

56-(-15)

71

Which type of data would be best displayed in a box plot?

Answers

Answer:C

Step-by-step explanation: option C, The number of votes received by each of four candidate can be best displayed in a box plot.

Explanation:

We need to find which type of data can be displayed in a box plot from the given options.

The box plot can used to show the shape of a distribution, the lower value , higher value , the central value, and its variability.

The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .

So, the answer can be option C

What is the equation of the graphed line written in
standard form?
X =-3
y=-3
X+y=-3
x-y=-3

Answers

Answer x=-3

This is because the line is through the x axis

Answer:

i tis b my dudes

say the the line above with an accent it was not a typo

Step-by-step explanation:

jesus loves you!!!!!

find the midpoint of the line segment join R(-5,3) S(1,6)

Answers

Answer:

(-2,9/2)

Step-by-step explanation:

x=(-5+1)/2

-4/2

-2

y=(3+6)/2

9/2

Midpoint=(x,y)

traza los siguientes angulos con un transportador
a) 50° b) 77° c) 110° d) 89° e) 165°​

Answers

b) 77 is the answer for this question

Help pls, Write in Cardinal form
1. A= {x : x is an odd number between 1 and 10 }

2. B= { 7,14,21,28,... 77 }

3. C= {x:x is an even number below 20 }

4. D= {x:x is a vowel in the English alphabet }

5. E= { x : x is a prime number below 5 }

6. F= { 1,2,3,4,... 100}

7. G = { 2,4,6,8,10,12 }

8. H = { x ∈ N , 5
9. I = { x ∈ N , x < 10 }

10. J = { x ∈ N , x<50 }

Answers

Answer:

A: 1,3,5,7,9

B {x:x is a multiplier of 7}

C: 18,16,14,12,10,8,6,4,2,0

D: A E I O U Y

E: 1,2,3

F:{x:x is a number between 1 and 100}

G: {x:x is an even number between 2 and 12}

H (not sure sorry)

I: 1,2,3,4,5,6,7,8,9

J:1,2,3,4...49

(-0.2)3x 27/1.6 + 0.105

Answers

Answer:

-10.02

Step-by-step explanation:

(-0.2)3×27/1.6 + 0.105-0.6×27/1.6+0.105-10.125+0.105-10.02

State the domain in proper interval notation.

Answers

Answer:

-5 < x < -2

Step-by-step explanation:

domain is all the x values

interval notation can look something like this ? < x < ?

for this case -5 is the far edge of the domain and -2 is on the other side

so it would be -5 < x < -2

2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))

Answers

Answer:

[tex]-\frac{433}{2}[/tex]

Step-by-step explanation:

Change: 2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))

To: 2[-3(2*-1 + 3-8 + 42) - ½(20-10+3)

Multiplication calculation: 2 * (-3 x 35) [tex]-\frac{1}{2}[/tex] * 13

Multiply again: 2 * (-105) [tex]-\frac{13}{2}[/tex]

Calculate: -210 [tex]-\frac{13}{2}[/tex]

Answer: [tex]-\frac{433}{2}[/tex]

I hope this help you! :D

Answer:

-238

Step-by-step explanation:

2(-3(2^-1+3-8+42)-1/2(20-10-(-3))=

2(-3(1/2+37)-1/2(10+3)=

2(-3(1/2+37)-1/2(13)=2(-3(75/2)-13/2)

=2(-225/2-13/2)

2(-238/2)= -238

Find all points on the x-axis 8 units from the point (3,-4).

Answers

Answer:

Is this a graph problem?

Step-by-step explanation:

(-5, -4), (3, -12), (3, 4), and (11, -4)

Equation of line p is y=x+7. Equation of a is y=-x+11. Prove that the lines are perpendicular

Answers

Answer:

The Answer is provided in the explanation!

Step-by-step explanation:

The lines are perpendicular because in both of the equations, the x variables are inverses. Meaning, that y=x+7, the x is positive, and y=-x+11, the x is negative. This shows that the slopes of both equations are 1, meaning the graph will have an X shape, provide that lines are perpendicular because they have an inverse of the same slope!

Need help ASAP! Directions in picture ;)

Answers

The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)

7(x-2) = 3(x+4)? Please help soon!

Answers

First use distribution properties and times everything in the brackets by the number before it
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
4x-14=12
then move your negative 14
4x-14=12
+14 +14
4x=26
Divide both sides by 4
X=6.5

Answer:

x=6.5

Step-by-step explanation:

7(x-2)=3(x+4)

Step 1. Distribute

7x-14=3x+12

Step 2. Combine like terms and calculate

4x=12+14

Step 3. Divide 4 on both sides

4x=26

Solution:

x=6.5

Hope this helps! :)

What is a cubic polynomial function in standard form with zeros 3 –2 and 2

I really need help with this. At least just a nudge.

Thanks

Answers

Answer:

x^3 - 3x^2 - 4x + 12

Step-by-step explanation:

Okay, so let's work backwards.

3, -2, 2 are the zeros, so we can use these numbers write the equation in factored form. (For right now, as a placeholder, I'll let y = 0)

(x - 3)(x + 2)(x - 2) = 0

If you want to check this, you can insert each of the zeros into the expression with a constant of the opposite sign.

So now, we can just expand the factored form. (I'll be doing this one equation at a time)

(x - 3)(x + 2) = x^2 + 2x - 3x - 6 = x^2 - x - 6

(x^2 - x - 6)(x - 2) = x^3 - 2x^2 - x^2 + 2x - 6x + 12 = x^3 - 3x^2 - 4x + 12

So,

The equation in standard form is x^3 - 3x^2 - 4x + 12

(Don't take my word for it though, now that I've told you how, feel free to do it on your own)

The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters

Answers

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

Help me please I’ll reward you brainly

Answers

Answer:

D. pi

Step-by-step explanation:

pi is irrational because you cannot express its value in a simple fraction

:)

are 46 and 105 relatively prime​

Answers

Answer:

They are relatively prime.

Step-by-step explanation:

The prime factorization of 46 is 23 * 2, and the prime factorization of 105 is

3 * 7 * 5. Since there are no common factors, they are relatively prime.

There is no common prime number. Then the numbers 46 and 105 will be relatively prime.

What is relatively prime?

When two quantities have just one similar, or if there is no additional value with the same quantity as one, you cannot divide them both and obtain zero as the remainder, two numbers are considered to be relatively prime.

The numbers are 46 and 105.

Then the factor of the number 46 will be

46 = 2 × 23

Then the factor of the number 105 will be

105 = 3 × 5 × 7

There is no common prime number. Then the numbers 46 and 105 will be relatively prime.

More about the relatively prime link is given below.

https://brainly.com/question/4703286

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What is the value of x?

Answers

The answer is
Letter A

Find the unknown sizes of angles in the following figure (please explain it):​

Answers

Answer:

x = 56

MKL = 56

KML=  63

MLK = 61

Step-by-step explanation:

We know that the sum of the interior angles of a triangle = 180 degrees.

So, x+ (x+7)+ ( x+5) = 180

3x+ 12= 180

3x= 180-12 = 168

168/3 = x

therefore, x= 56 degrees.

So MKL = 56

KML= 56+ 7 = 63

MLK = 56+5 = 61

PLEASE HELP ME (GIVING BRANLEST)

A bank teller s two customers. Jerry makes a $20
withdrawal, so his balance changes by -$20. Hank makes
a $5 deposit, so his balance changes by $5.
Use absolute value to show the size of each transaction. Which transaction
involves more money?
O A. Hank’s deposit involves more money, because -20 is greater than
5.
O B. Hank’s deposit involves more money, because 1-20 is greater than
151
O C. Jerry’s withdrawal involves more money, because 1-20 is greater
than 51
O D. Jerry’s withdrawal involves more money, because 1-20 is less
than 151

Answers

Answer: Choice C

Jerry's withdrawal involves more money because |-20| is greater than |5|

The vertical bars represent absolute value.

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

Explanation:

Absolute value is the distance a number is from 0. I recommend drawing out a number line. You should see that -20 is further from zero compared to 5.

So this is a visual representation of why Jerry is dealing with more money. You can think of the positive version of each value, which is effectively what absolute value is doing, when comparing the values.

-20 becomes 205 stays at 5

We see that 20 > 5, so Jerry is dealing with more money even though he's losing it rather than gaining it.

Normal curve A has a wider distribution than Normal curve B. The distribution A must has ____________.

A. a smaller mean
B. a larger standard deviation
C. a smaller standard deviation
D. a larger mean

Answers

The correct answer is C

The distribution A must has a smaller standard deviation. So, option C is correct.

What does "normal" describe in statistics?

Normal usually refers to the word "normal" in normal distribution.

The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.

If we've got a normal distribution, then we can convert it to a standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following a normal distribution with mean and standard deviation )

then it can be converted to a standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

Normal curve A has a wider distribution than Normal curve B.

The distribution A must has a smaller standard deviation.

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Help me with this please its algebra 1a

Answers

Answer:

answer choice A

Step-by-step explanation:

you make two equations.

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