Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now​

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2xy

2. Seven less than a number:

x - 7

3. The sum of three consecutive numbers:

x + (x + 1) + (x + 2)

4. The sum of two consecutive even numbers is 42:

2x + 2x + 2 = 42

5. The sum of a number and 5 times its reciprocal:

x + 5*(1/5)

6. Four more than twice a number:

4 + 2x

7. The square of a number increase by five:

x² + 5

8. The sum of two numbers is equal to four more than their difference:

x + y = 4 + (x - y)

9. Rian's age four years from now:

x + 4

10. Clara's age 10 year from now​:

x + 10
Answer 2

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10


Related Questions

Using the following image, solve the problems below given that M is the midpoint of VW.

If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?

Answers

The midpoint of a line segment divides the line segment into equal halves.

The value of x is 4The value of VM and MW is 15The value of VW is 30

Point M is the midpoint of line segment VW.

So, we have:

[tex]VM = MW[/tex]

Substitute known values

[tex]4x - 1= 3x+3[/tex]

Collect like terms

[tex]4x - 3x = 1 + 3[/tex]

Evaluate like terms

[tex]x = 4[/tex]

Hence, the value of x is 4

The expression for VM is:

[tex]VM = 4x - 1[/tex]

So, we have:

[tex]VM = 4(4) - 1[/tex]

[tex]VM = 15[/tex]

Hence, the value of VM and MW is 15

The length of VW is the sum of both lengths.

So, we have:

[tex]VW = 15 + 15[/tex]

[tex]VW = 30[/tex]

Hence, the value of VW is 30

Read more about midpoints at

https://brainly.com/question/18315903

Divide.

1585 ÷ 25


63

6312

6325

63710

Answers

Answer:

The answer is 63 2/5

Step-by-step explanation:

Converting to mixed numbers divide 317 by 5.

5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.

The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.

let f(x)=3x^2-6x+5 what is the leading coefficient

Answers

I think the answer is 3

Complete the table for this equation. y=x+6

Answers

Answer:

Step-by-step explanation:

Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?

NO LINKS! ​

Answers

Answer:

y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from home

Step-by-step explanation:

a) Let t represent the clock time (hours after midnight). The distance from home will be ...

  distance = speed × time

  jonah = 40(t -7)

  jesse = 50(t -10)

  jonah = jesse . . . . . . . same distance from home at the same time

(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)

__

b) substituting the first two equations into the second, we get ...

  40(t -7) = 50(t -10)

  4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses

  22 = t

Jonah and Jesse will be at the same place at 10 p.m.

__

c) We can find the distance by substituting into either equation.

  jonah = 40(22 -7) = 40(15) = 600

They will be 600 miles from home at that time.

Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?​

Answers

Answer:

S 32, W 128, M 96

Step-by-step explanation:

W = 4S

S = 1/3M, or 3S = M

S + W + M = 256

Substitute

S + 4S + 3S = 256

8S = 256, S = 32

S = 32

W = 4S = 128

M = 3S = 96

Find the value of x.

Answers

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°

Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.

Answers

Answer:

A: False

B: True

C: False

D: False

Hope This Helps!!!

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?​

Answers

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = 5y
xy = 320

Substitute the first equation into the second equation
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

f(x) = 11 – 5x for f(9)

A.-46
B.-44
C.44
D.45

Answers

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

5-x=3
Work out the value of 3x2

Answers

Answer:

No

Step-by-step explanation:

5-X=3

X=5+3

X=8

5-8=3

if the telephone was invented in 1876 how old was it in 1991 how long had it been around

Answers

Answer:

115 Years Old

Step-by-step explanation:

1991-1876 = 115

1991 - 1876 = 115 Years Old.

Help me please I don’t wanna fair math

Answers

Step-by-step explanation:

To find the equation you must first find the gradient and also look for the points on the graph.

I see point ( 0, 2) and point (4, 1)

Hence first find the gradient before equation

the gradient = y2-y1/x2-x1

y2 = 1

y1 = 2

x2 = 4

X1 =0

if you put in the values it will look like

1-2/4-0

-1/4

the gradient = -1/4

So for the equation the formula is

remember m is the gradient

y - y1 = m ( x - x1 )

so put in the value from only one point so you can choose either (0,2 ) or (4,1 )

I will go with (4, 1)

y - y1 = m ( x - x1 )

y - 1 = m ( x - 4 )

y -1 = -1/4 ( x - 4)

4 ( y-1) = -1(x-4)

4y- 4 = -1x +4

4y - 4 -4 = -1x

4y -8= -1x

4y + 1x -8 = 0

this is the equation.

thanks and good luck.

Help help math math math

Answers

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

Additional comment

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

Answer: x=1 6

Step-by-step explanation:

Helppppppppppppp helppppppppppppp

Answers

Answer:

Should be the first answer, x=5

Step-by-step explanation:

This would flip the graph and the square would land on top of where it currently is.

The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?

Answers

Answer:

$85.50

Step-by-step explanation:

57 x 1.5 = 85.5

using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11

Answers

3y-2y+2y-y+3x-x+2x+z+5z=1+11+11
2y+4x+6z=23

Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28

Answers

Answer:

64 tea bags for 9.28

Step-by-step explanation:

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000

Answers

What is the question?

Answer:

R(x)=2x.

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.

6/5 pls help as fast as possible

Answers

Answer: 6 divided by 5 is 1.2

Step-by-step explanation: I used Siri lol

Answer:

1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.

Step-by-step explanation:

Please help………………………

Answers

Answer:

= 180

y = 34

is the answer

A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

Answers

skater 500 m / 40 sec= 12.5 m/ sec

Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater

So number 1 is 12.5

Number 2 is 26

What is the answer to y=-2(-3/2)-9

Answers

Answer:

-6

Step-by-step explanation:

y = -2 x -3/2 - 9

3 - 9 = -6

Hey there!

y= -2 (-3/2) - 9

-2(-3/2) = [3]

y = 3 - 9

y = -6

Therefore, your answer is: y = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


[tex] \frac{8}{20} < > = \frac{7}{13} [/tex]
Compare these factions

Answers

Answer:

<

Step-by-step explanation:

Good Question!

8/20=4/10=2/5=0.4

7/13= lcm of 5 and 13 is 75.

26/75 [<] 35/75

:)

Answer: < less than

Step-by-step explanation:

1. Find LCM of 20 and 13.

20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280

13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260

The LCM is 260.

2. 20*13 = 260 13*20=260

therefore we need to multiply the numerator by those 13 and 20.

8*13 = 104 7*20 = 140

3. compare Fractions:

(104/260) < (140/260)

Need help asap please !!!

Answers

The answer would be M= 1/4

the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost

Answers

Answer:

0.75p=c

Step-by-step explanation:

7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?​

Answers

Answer:

Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666

Step-by-step explanation:

PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.

Answers

The answer is 6

Hope this helped

Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]​

Answers

[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.

Answers

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.

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