Paula is 3 years older than
Lindsey, who is 2 years
younger than Dave. If Paula is
17, how old is Dave?​

Answers

Answer 1

Answer:

16

Step-by-step explanation:

If Paula is 17, then Lindsey is 17-3 (14). Since Lindsey is 14,  Dave is 2+14 (16), so Dave is 16

Answer 2

Answer:

16 years old

Step-by-step explanation:

Let Lindsey's age be x.

Paula's age be x+3

Dave age be x+2

If Paula is 17.

x+3=17

x=14

x+2

(14)+2=16

Dave is 12 years old.


Related Questions

Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.

Answers

Answer:

Not possible

Step-by-step explanation:

a + b = c = d         Substitute

30 + 30 = 7 = 24  Add

60 = 7 = 24          This is not possible because these numbers aren't equal.

PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?

Answers

Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!

The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help

Answers

Answer:

The following two equations represent the reflected function:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Step-by-step explanation:

Following are two basic concepts of reflection a point or a function over an axis:

If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.

In this question, the function is given:

f(x) = 5(1/5)ˣ

As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.

So the equation of reflected function is:

f(x) = 5(1/5) ⁻ˣ

We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.

(1/5)⁻ˣ = 5ˣ

So equation of reflected function can also be written as:

f(x) = 5(5)ˣ

Answer:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

can someone help me step through this to help me get the answer correct

Answers

Answer:

3

Step-by-step explanation:

Write each repeating decimal using bar notation.
•2.034034...

•0.9222....

•0.7777....

Answers

Answer:

  ___

2.034

over .034

     _

0.92

over 2

  _

0.7

over 7

Step-by-step explanation:

Bar notation of 2.034034.... is  [tex]2.\overline{034}[/tex], 0.9222... is  [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]

What is bar notation for non terminating and recurring decimals?

Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.

For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.

Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.                  

Bar notation of  3.33333... is written as  [tex]3.\overline{3}[/tex]

Given decimal expansions are

a.  2.034034....

We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.

Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]

b. 0.9222....

We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.

Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]

c. 0.7777....

We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.

Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]

Also, learn more about decimal expansions from the link below:

https://brainly.com/question/17316823

#SPJ5

1/3x+4=10 what is x?

Answers

Answer:

x = 18

Step-by-step explanation:

start with your equation: 1/3x + 4 = 10

first subtract 4 from both sides of the equal sign

now you have: 1/3x = 6

then divide by 1/3 on both sides

which gives you...

x = 18

you can check it by replacing x with 18.

hope this helps!

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}x+4=10[/tex]

Subtract 4 from both sides

[tex]\frac{1}{3}x=6[/tex]

Multiply both sides by 3

[tex]x=18[/tex]

Will Mark Branliest What would be the best way to display both the overall shape and individual values of the data below? dot plot box graph stem-and-leaf graph frequency table


Answers

Answer:

Stem and leaf

Step-by-step explanation:

Answer:

The answer is frequency table

Hope this helps.

Please I need help with this ASAP..Thanks

Answers

Answer:

Qu.3 a = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

Step-by-step explanation:

Rules of parallelogram show that diagonal adjacent angles are equal

Then 110 = 110 and 110+110 = 220

Then as angles equal 360 degree we subtract.

a * 2 = 360-220 = 140 degree

Where there are two angles we divide by 2 to find one of them = a as both measures equal double;

a = 140/2 = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

without calculator we simplify

a= 3/4 x 8 = 1 x 8 - 1/4 = 6     = 3/4 +1/4 = 1  then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6

b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4       = 1/6 *2 is the same as 2/6 we then *12

c =  3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15    = 1/2 *3 is the same as 3/2 we then *10

d =  3/12 x 36 = 1/4 x 36 = 9  = decimal 0.25 x 36 = 1.50  |  + 7.5 = 9  

Choose improper fraction that is equivalent to mixed number 4 3/10

Answers

Answer:

Step-by-step explanation:

Answer:43/10

Step-by-step explanation:

in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.

Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?

Answers

Answer:

             [tex]\dfrac{13}{17}[/tex]

Step-by-step explanation:

all headbands:   20+32+16 = 68

headbands that aren't black:   68-16 = 52

the probability:   [tex]\frac{52}{68}=\frac{13}{17}[/tex]

How many faces does this pyramid have? A net has a rectangular base and 4 triangles on the sides. faces

Answers

Answer:

5 faces

Step-by-step explanation:

Faces:

=> 1 rectangular face+4 triangular face = 5 faces

Answer:

a pyramid has has 5 Faces.

Step-by-step explanation:

The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices

a net with a rectanguler base and 4 triangles will form a rectanguler pyramid

Based on the work shown on the left, what is the simplest form of sqrt 250c^3/9d^6?



Answer is A on edge.

Answers

Answer:

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{250c^3}{9d^6}}[/tex]

Required

Simplify to the simplest form

We start by splitting the square root

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250c^3}}{\sqrt{9d^6}}[/tex]

Expand

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250 * c^3}}{\sqrt{9 * d^6}}[/tex]

Further Split the square root

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{\sqrt{9}*\sqrt{d^6}}[/tex]

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*\sqrt{d^6}}[/tex]

From laws of indices;

[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]

This implies that

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^{\frac{6}{2}}}}[/tex]

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^3}}[/tex]

Expand 250 to 25 * 10

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25 * 10} * \sqrt{c^3}}{3*{d^3}}[/tex]

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25}*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]

Combine the square roots

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10*c^3} }{3*{d^3}}[/tex]

[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]

Solved

Answer:

its a

Step-by-step explanation:

i just did it

A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?

Answers

Answer:

$ 45

Step-by-step explanation:

How much money in tips did she earn ?

12%×$375 = 12×375/100 = 4500/100 = $45

The answer is 45 dollars

All you have to do is make 12 a decimal (0.12) and multiply that by 375

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 4ft[/tex]

[tex]Angle, \theta = 45[/tex]

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]

[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes

[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]

[tex]Area = \frac{45}{360} * \pi * 16[/tex]

[tex]Area = \frac{45*16}{360} * \pi[/tex]

[tex]Area = \frac{720}{360} * \pi[/tex]

[tex]Area = 2 * \pi[/tex]

[tex]Area = 2 \pi\ ft^2[/tex]

The above is the area in terms of π

Solving further.... (Take π as 3.14)

[tex]Area = 2 \pi\ ft^2[/tex] becomes

[tex]Area = 2 * 3.14\ ft^2[/tex]

[tex]Area = 6.28\ ft^2[/tex]

Hence, the area of the sector is

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Which best describes how to solve the equation below?
64x = 37
O A. Divide both sides by 37.
B. Multiply both sides by 37.
O C. Divide both sides by 64.
O D. Multiply both sides by 64.

Answers

The answer is C
Divide both sides by 64
You already want to get rid of the number next to the variable when you are trying to solve for x

Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!​

Answers

Answer:

A and F

Step-by-step explanation:

first figure out the slope.

4-(-5)/2-(-3)= 9/5

slope: 9/5

y-y1=m(x-x1)

you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.

C, D, E all have negative slopes so it is wrong.

B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.

A & F fit the solution.

FIRST CORRECT GETS BRAINLIEST!!!!!!!! 15/20 POINTS!!!!!!!!!!!!!!! ASAP!!!!!!111

Answers

Answer:

3, -x+3, first option

Step-by-step explanation:

just do them man

The Stockton Hotel has plans to carpet the floor of a ballroom that has a width of 35 feet and a length of 50 feet. A 1.5-foot border of tile around the room will be installed, What is the area of the floor that will be covered with carpet? 1,504 ft2 1,673.25 ft2 1,584.75 ft2 1,750 ft2

Answers

Answer:

A

Step-by-step explanation:

Because of the border of tile, the length and width of the room are essentially being decreased by (1.5*2)=3 feet. The area is now therefore:

32*47=1,504 square feet, or answer choice A

Hope this helps!

Answer:

A

Step-by-step explanation:

hope this helps

Equation: 32 x 47 = 1, 504

Find the value of x in each case.

Answers

Answer:

x = 13 deg

Step-by-step explanation:

As shown in the picture, you have:

CF and CD are perpendicular

=> angle BCF = 90 deg

=> angle BCE + angle ECF = angle BCF = 90 deg

or angle BCE + 64 = 90

=> angle BCE = 90 - 64 = 26 deg

Point A, B, and C are collinear

=> (angle ABE) + angle CBE = 180 deg  (1)

Otherwise, as the property of the sum of 3 angles in a triangle:

(angle BEC + angle BCE) + angle CBE = 180 deg  (2)

From (1) and (2) you would have:

angle ABE = angle BEC + angle BCE

or

3x = 26 + x

<=> 3x -  x = 26

<=> 2x = 26

<=> x = 26/2

<=> x = 13

=> angle BEC = x = 13 deg

=> angle ABE = 3x = 3(13) = 39 deg

Hope this helps!

Pleaseee helpp

A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:

25 hours (60 seconds)
(1 minute)=
- 1560 seconds

What conversion ratio did she skip in this multiple step conversion?

A.
1 hour
60 minutes

B.
60 seconds
1 minute

C.
1 minute
60 seconds

D.
60 minutes
1 hour

Answers

A. 1 hour, 60 minutes.

she converted 60 seconds = 1 minute then directly multiplied that by 26. she didn’t multiply the number of minutes in an hour.

correct answer would be:
60 sec = 1 min
60 min = 1 hour
60 sec x 60 min = 3600 sec per hour
3600 sec per hour x 26 (number of hours)
= 93,600 seconds in 26 hours

Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?

Answers

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.

Answers

Answer:

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Step-by-step explanation:

Step(i):-

Given series

6+66+666+6666 + ... +666...66 up to 100 digits

Taking common '6'

6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)

Multiply '9' and divisible by'9'

[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]

Multiply inside '9'

[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]

Step(ii):-

we know that sum of geometric series

[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]

we know that

a + a + a+........n terms = n a

[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex]  ....(i)

The sum of the 100 digits in geometric series

[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]

Now the equation (i)

The sum of the digits of the number  

      [tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]

Final answer :-

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

solve this please. find the sum

Answers

Answer:

1

Step-by-step explanation:

a + b - c

Let's solve for the first triangle.

1 + 3 - 4

4 - 4 = 0

Now for the second triangle.

2 + 5 - 6

7 - 6 = 1

Add 0 and 1.

0 + 1 = 1

Answer:

1

Step-by-step explanation:

1+3=4-4=0

2+5=7-6=1

0+1=1

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D

Answers

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020


Louisa has 4 dogs.
Each dog eats 3/4
of a tin of dog food each day.
Louisa buys 12 tins of dog food.
Has Louisa bought enough dog food to feed her 4 dogs for 5 days?
You must show how you get your answer.

Answers

Answer:

No, she has not bought enough dog food to feed her 4 dogs for 5 days.

Step-by-step explanation:

She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 *  = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.

No, she has not purchased enough dog food to last five days and feeds her four dogs.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.

To know more about an expression follow

https://brainly.com/question/24248757

#SPJ2

choose the correct equation(s) for the function shown in the graph. Select all that apply. (There is more than one answer) y = 2cos2(x • π/2) y = -2sin2 x y = -2cos(2 x - π/2) y = 2sin2( x - π/2)

Answers

Answer:

The correct options ares:

b) y = -2sin2x

c) y = -2cos(2 x - π/2)

d) y = 2sin2( x - π/2)

Step-by-step explanation:

As we can see in the graph, when x = 0 then y = 0.

Simply substitute x=0 in each equation.

a) y = 2cos2(x • π/2)

for (0,0)

y = 2

False

b) y = -2sin2x

for (0,0)

y=0

True

c) y = -2cos(2 x - π/2)

for (0,0)

y=0

True

d) y = 2sin2( x - π/2)

for (0,0)

y=0

True,

(We can also find the solution by using y= Asin(Bx+C) and y = Acos(Bx+C), we'll find that except equation a, all other equations have same amplitude, horizontal shift, period and vertical shift)

Which of the following circles have their centers on the Y axis

Answers

Answer:

Hi, please provide a photo or options to pick from. I will answer then.

Step-by-step explanation:

Dnfjjfjfjfjcjcjxncnjfncjcjfjcjcjcjcjcjjc

Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%

Answers

it’s D, 140%. All you have to do is divide 105 by 75 and it will pop up as 1.4 which is 140.

Answer:

D 140%

Step-by-step explanation:

n/100 =105 divided by 75

next n times 105 = 75 x 100

105n = 7500

N =140:)

Please help, this is a conversion problem.

Answers

Answer:

A. 41 ft / sec.

Step-by-step explanation:

28 miles per hour = 28/(60*60)

= 28 /3600 miles per second

= 28 * 5280 / 3600 feet per second

= 41 ft / sec.

Answer:

I am taking a guess so bare with me on here.

Step-by-step explanation:

first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.

Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.

Third: take out any other answer that looks too high or too low.

4th: the answer is A. because 88 and 189 is too high. and 36 is too low.

The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
O A. 15x2 + 8x+12
B. 15x2 + 4x-12
O C. 15x2 + 4x+12
О
D. 15x2 + 8x-12

Answers

Answer:

D. 15x^2 + 8x - 12

Step-by-step explanation:

To solve this problem, simply expand the factorization and find the polynomial.

5x * 3x = 15x2

5x * -2 = -10x

6 * 3x = 18x

6 * -2 = -12

You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.

Answer:

D.

Step-by-step explanation:

(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12

Other Questions
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