Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death. Write an inequality to represent Brittany’s age, b. Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b. Rewrite the expression from Part B to get the variable b alone on one side of the equation. (This is also called isolating b.) Substitute the value of b from Part C into the inequality you found in Part A. Solve the inequalities from parts A and D for the variables b and n, respectively. Could Brittany be 27 years old and Nate 26? Why or why not?

Answers

Answer 1

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years


Related Questions

True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.

Answers

Answer:

False

Step-by-step explanation:

In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.

False, Because If the scale factor is greater than 1, the image is larger than the preimage.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.

And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.

Thus, The given statement is false.

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What is the equation of the graphed line written in standard
form?
X-4y=4
X+4y=4
Y=1/4x-1
Y=-1/4x-1

Answers

Answer: Choice A)  x-4y = 4

Explanation:

Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.

Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.

To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)

Plug in (x,y) = (0,-1)

x-4y = 4

0-4(-1) = 4 ...  replace x with 0, replace y with -1

0+4 = 4

4 = 4 ... true equation, so the point (0,-1) works

Now try the other point

x-4y = 4

4-4(0) = 4 .... plug in (x,y) = (4,0)

4-0 = 4

4 = 4 ... works as well

Both points make the equation true, so they are both on the same line.

If function g(x) = x2 + 2 is a transformation of the quadratic parent function, f(x) = x2, where is the y-intercept of function g located?

A.
(0,-2)
B.
(2,0)
C.
(0,2)
D.
(-2,0)

Answers

Answer:

The y-intercept of function g located at (0,2)

Step-by-step explanation:

Function :[tex]g(x)=x^2+2[/tex]

g(x) is a transformation of the quadratic parent function

We are supposed to find the where is the y-intercept of function g located

y intercept = the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. x =0

So, substitute x = 0 in function

g(x)=x^2+2

g(0)=0^2+2

g(0)=2

So,(x,y)=(0,2)

So, The y-intercept of function g located at (0,2)

Answer:

c

Step-by-step explanation:

Simplify (2a – 5)2 using the square of a binomial formula.
Question 20 options:

A)

4a2 – 20a + 25

B)

4a2 – 25

C)

4a2 – 10a + 25

D)

4a2 + 25

Answers

I’m not sure about the answer but I know it wouldn’t be D because it’s positive. I think it maybe B though. Hope this helps!

Answer:

B

Step-by-step explanation:

0-o

Compare the fractions use greater than less than or equal

5/8 ___25/40

Answers

Answer:

it's equal=

Step-by-step explanation:

5 divided by 8 = .625, 25 divided by 40= .625

Answer:

=

Step-by-step explanation:

THEY ARE EQUAL. :)

Choose the function to match the graph.

f(x) = log x + 2
f(x) = log x - 2
f(x) = log (x + 2)
f(x) = log (x - 2)

Answers

Answer:

C; f(x)=log(x+2)

Step-by-step explanation:

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

The lower the average monthly temperature, the higher the monthly heating bill.


There is a low correlation between the average monthly temperature and the monthly heating bill.


There is no correlation between the average monthly temperature and the heating bill.


The lower the average monthly temperature, the lower the monthly heating bill.

Answers

The first option is correct

Examine these points on line u and line v.
Line u: (9,-8), (5,4)
Line v: (4,2), (7.-7)
How many points of intersection are there between line
u and line v?
zero
one
two
infinitely many

Answers

Answer:There are zero interception.

Step-by-step explanation:

The equation to Line U: is  y=-3x +19  and the equation to line V  is  y=-3x +14

So as you can see ,the lines have the same slopes but different y-intercepts.This means the lines are going to be parallel when being graph.Parallel lines never cross or intersect so there  is no points of intersection.

Answer:

A. zero.

Step-by-step explanation:

i took the assignment.

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) across the y-axis Reflect the ordered pair ( 0 , 3 ) across the x-axis

Answers

(-4, 5) changed to (4, 5)
(0, 3) changed to (0, -3)

Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.

Total Volume = (3.14) (2.5) ^2 (4.5) =


Subtract the middle rim.

V = (3.14 ) ( .75 ) ( 4.5 )

TOTAL VOLUME - MIDDLE PART VOLUME =

Answers

Answer:

77

Step-by-step explanation:

Total Volume = 88

Middle Part Volume = 11

Total - Middle = 77

Total = 77 I believe

Find the slope of the line

Answers

Answer:

A) 3/2

Step-by-step explanation:

slope of the line equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -3)

(x₂ , y₂) = (1 , 3)

Plug in corresponding numbers to the corresponding variables:

m = (3 - (-3))/(1 - (-3))

Simplify:

m = (3 + 3)/(1 + 3)

m = (6)/(4)

m = 3/2

A) 3/2 is your slope.

~

Answer:

the answer is three over two 3/2

Step-by-step explanation:

the equation is

Ya-Yb

divided by

Xa-Xb

so basically:

-3-3/-3-1

How are the solution sets to s<3 and |s|<3 different ?

Answers

Answer:

The solution set for [tex]s<3[/tex] would be (-∞,3)

The solution set for [tex]|s|<3[/tex] would be (-3,3)

Step-by-step explanation:

The solution set for [tex]s<3[/tex] can be any number that is lower than 3.

When we have the inequality  [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer

[tex]|s|<3[/tex]

[tex]s<[/tex] ± [tex]3[/tex]

This can be be split into [tex]s<3, s<-3[/tex]

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]

Now, we can combine these to get one inequality

[tex]-3<s<3[/tex]

What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.​

Answers

Answer:

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

I cant do this until I know What number is what.

Which is length?

Which is height?

and which is width?

Answer:

Step-by-step explanation:b

Solve for s.

9s = –10 + 10s

s = __

Answers

Answer:

10

Step-by-step explanation:

9s=-10+10s

Add 10 on both sides,

9s+10=-10+10s+1

9s+10=10s

Subtract 9s on both sides,

9s+10-9s=10s-9s

10=s

Therefore,s=10

Can Someone PLEASE Help ME!

Answers

Answer:

A. 4 Feet 1/2 inches

Step-by-step explanation:

54/12=4.5

Answer:

4 ft 6 inches

Step-by-step explanation:

we know that 12 inches is 1 ft

24 inches is 2 ft

36 inches is 3 ft

48 inches  is 4 ft

60 inches is 5 ft

So 4 ft

54 - 48 = 6 left over

4 ft 6 inches

What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!

Answers

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?

Answers

Answer:

4

Step-by-step explanation:

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Need help on this, if it’s right I’ll make it brainliest

Answers

Answer:

(0,2)/(4,5)

Step-by-step explanation:

Im Pretty Sure That's Correct.

During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?

Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same

Answers

Answer:

Prices decreased

Step-by-step explanation:

What happened to the price of goods when demand did not increase is prices decreased.

Patricia and John both used their credit cards to purchase $225.00 worth of gas and groceries for the month of July.
Patricia paid off her credit card transactions on the same day that she made them, while John did not. They both
received their credit card statements at the same time. Patricia's balance was zero, and she had only paid $225.00 to
the credit card company. However, John had a finance charge of $3.82 added to his balance of $225.00. Explain why
John had a finance charge and Patricia did not. Answer in complete sentences.

Answers

ever figure it out?

i have the same question

Answer:

John didnt pay off his card right away so there was a fee of $3.82

Step-by-step explanation:

Complete 4 A,B 9 for points.

Answers

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

What is the value of x ?

Answers

Answer:

720

Step-by-step explanation:

you just need to multiply

i think it’s 720 i’m pretty sure

If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
A. Square
B. Triangle
C. Parallelogram
D. Rectangle

Answers

The answer is A) square
The answer would be A

what is 1000 + 903 efwkfhawrjkarlvkjvheargjdvbejeqbgjvkdsfbwrilcjeabjesbwelvkjabvwelrgkjahfhfwahfsaldkjfasdjfhsakdflsadjfshadjkfsahsaduhfaewsfhiaowsadlkffhsdflksfahflksadfsalslkfdlahsfaweiofwahfesdfdsakfsak;falskhfdsadfojanefwuhrohafdhsd,fesuighfdsdhasfl;sfkdsdguegreffjsafakslfdsdfhfdsaklfawfieow

Answers

Answer:

1903

Step-by-step explanation:

Answer:

the answer is 1903

Step-by-step explanation:

Which of the following items would not be classified as an asset?
A. CD Investment
B.Electric guitar
C. Savings account
D. Credit card debt

Answers

D because debt is classed as a liability

Answer: D because debt is classed as a liability

Step-by-step explanation:

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