Dan & Alex measure themselves against a tree in their backyard. The tree is 80% taller than Dan and 20% taller than Alex. Which of the following statements is true?

A. Alex is 50% taller than Dan.
B. Dan is 60% taller than Alex.
C. Dan is 40% taller than Alex.
D. Alex is 40% taller than Dan.

Answers

Answer 1

The true statement is that Alex is 50% taller than Dan.

How to solve percentage questions?

They both measured themselves against a tree in their backyard.

Therefore, the tree is 80% taller than Dan and 20% taller than Alex.

Hence,

let

Dan height = x

Tree's height = x + 0.8x

Tree's height = 1.8x

let

Alex height = y

Tree's height = y + 0.2y

Tree's height = 1.2y

Therefore, if we use Dan height as 100, the height of the tree will be 180.

Then,

180 = 1.2y

y = 150

This means Alex is 50 percent taller than Dan.

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Related Questions

A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?

Answers

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers​

Answers

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 3 hours to do the same job.
Working together, how long will it take them to fill the order?

Answers

Answer:

1 hour and 15 minutes.

Step-by-step explanation:

Since Janet, an experienced shipping clerk, can fill a certain order in 2 hours, while Tom, a new clerk, needs 3 hours to do the same job, to determine how long will it take them to fill the order by working together you must perform the following logical reasoning:

Each of them will do half the work, so in principle, Janet will do her work in 1 hour, while Tom will do it in 1 hour and a half. Now, the remaining half hour that Tom has more than Janet can in turn be divided in two, with which each one will do their work in 15 minutes. Thus, the order will be ready in 1 hour and 15 minutes.

WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!

Answers

Answer:

x<-2 or x>6

written as x<-2;x>6

Step-by-step explanation:

In the expression 710 , which number is the exponent?
A) 10
B) 70
C 7
D) None of the above

Answers

Answer:

A.10

Step-by-step explanation:

An exponent is a number or letter written above and to the right of a mathematical expression called the base.

x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means x is multiplied by itself n times.

I think it’s 10 sorry if wrong btw

Using your linear function, find the distance traveled in 7 hours.

Answers

Answer:

Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.

We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.

We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.

Step-by-step explanation:

y = 350 miles

count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 455 miles

count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 140 miles

count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 280 miles

count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).
Write the equation in slope-intercept form.

Answers

#First u find the gradient first, remember that the formula of equation of the line is y=mx + c

y = 3x - 3

so the gradient (m) is 3

#Now u find the equation of the line

y - y1 = m(x - x1)

y - 4 = 3(x - 6)

y - 4 = 3x - 18

y = 3x - 18 + 4

y = 3x - 14

Answer : y = 3x - 14

volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2

Answers

the volume is about 417.35 units !!

What is equivalent to 1/3(x9x + 12) + 4x + 6

Answers

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?

Answers

Answer:

$22395

Step-by-step explanation:

the product of two consecutive integers is 90. Find the two integers then check your answer​

Answers

Answer:

9,10 or -10,-9

Step-by-step explanation:

Let call the first integer n and the second integer n+1 since they are consecutive.

Since the product of the integer is 90 set up this equation

[tex]n \times (n + 1)= 90[/tex]

[tex]n {}^{2} + n = 90[/tex]

Subtract 90 to get it on the left side

[tex] n {}^{2} + n - 90 [/tex]

Apply quadratic formula

[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]

[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]

The roots are n= -10 and 9. We can use either root but let use a positve root

We are taking the positve roots

Plug 9 as n into n+1

[tex]9 + 1 = 10[/tex]

or

[tex] - 10 + 1 = - 9[/tex]

2. Evaluate the expression when a = 3
2a + 8

Help PlEaSeEeE!!! This us late and as if right now summer school fir me

Answers

Step-by-step explanation:

When a = 3

2a + 8

= 2* 3 + 8

= 6 + 8

= 14

As per the Question a=3
Expression =2a+8
=2*3+8
=6+8 => 14(ans)

help and please explain will give brainliest

Answers

Answer:

2.83

Step-by-step explanation:

36 pi = pi×r×r×h

36=r×r×h

h= 4

36= r×r×4

8=r×r

[tex] \sqrt{8} = x[/tex]

r= 2.83

Fill in the ​measures​ of the following angles and side lengths. All answers will be ​numbers​.

Answers

Answer:

Step-by-step explanation:

BED=52

BAC=43

B=180-43-52=85

DE/8=15/12, DE=10

BC/15=9/10, BC=13.5

(9+EC)/15=9/10, 9+EC=13.5, EC=4.5

BD/10=12/15, BD=8

a town has a population of 70,230 in the year 2020. Over the next five years, 6556 people move into the town for work, but 4096

Answers

Answer:

63,674

Step-by-step explanation:

70,230-6556

=63,674

Solve –2(3x – 1) = 20 for x

Answers

Answer:

x = -3

Step-by-step explanation:

Distribution

3x(-2) -1(-2) = 20

-6x +2 = 20

Subtraction Property of Equality

-6x + (2 - 2) = (20 - 2)

-6x = 18

Division Property of Equality

(-6x/-6) = (18/-6)

x = -3

To check just plug in x

-6x + 2 = 20
-6x = 18
x = 3

What’s the answer please help !!!!

Answers

I think the answer is x>-3
The answer is x > -3

f(x)=−x 2 −4x−19 find f(-9)

Answers

Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by

f(x)=x2&#x2212;4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x

for x&#x2265;2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.

When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and &#x2212;" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is

x=2&#x00B1;y+4." role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x=2±y+4−−−−√.x=2±y+4.

Is it correct and how do I determine the domain and range of the function? Thanks

Please help it’s urgent

Answers

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

Which table represents a linear function?

Answers

answer : c
step by step explanation

Answer:

no lo se xd sorry

no la se jjgtubxdtjk

In the first quadrant, you start at (10,7)
and move 8 units left and 5 units up
What point will you end up on?

Answers

(2,12). Moving left to right is the x, moving up and down is the y.

Answer: ( 2,12 )

Step-by-step explanation:

at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy

Answers

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

what is the measure that is complementary to an 20 degree angle

Answers

I think it would be a 70 degree angle since a 90 degree is a right angle and subtracting from the 20 it would 70 so yep if this is wrong I am sorry.

evaluate lim x=π/4(3x - tanx)​

Answers

Answer:

 [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] =  [tex]3(\frac{\pi }{4} )[/tex]

Step-by-step explanation:

Explanation:-

Given that

         [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]

  =  [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]

 = [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]

=  [tex]3(\frac{\pi }{4} )+ 1 )[/tex]

=  [tex]3(\frac{\pi }{4} )[/tex]

Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6

Answers

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

what is 8% as a decimal or fraction in simplest form and a fraction of 100​

Answers

Answer:

=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles? ​

Answers

15: 45 or 15 to 45 :)

Answer:

15:45 (or 15 to 45)

Step-by-step explanation:

HALP!! DUE IN 10 MINUTES!!
Find k if the line y = kx-5 passes through the point (-6,14)

Answers

Answer:

-3 1/6

Step-by-step explanation:

14 = -6k - 5

6k = -19

k = -19/6 = -3 1/6

00:00
Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55
How do you get the answer

Answers

Answer:

B. 16 and 56

Step-by-step explanation:

The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.

For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.

Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair

d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.

That leaves you with 16 and 56, the correct option

16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.

56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.

Hope this helps, and brainliest is much appreciated! Have an awesome day.

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.

Enter your answer in the form: C = ahb + chw, where a, b, c are integers.

Answers

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

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