Tom is 4 inches taller than Sally together their heights equal 124 inches
a.create an equation to represent the situation.
b.Solve your equation
c. How tall is Sally?
d. How tall is Tom?

Answers

Answer 1

Answer:

Tom's height = x = 64 inches

Sally's height = y = 60 inches

Step-by-step explanation:

Let us represent

Tom's height = x

Sally's height = y

Tom is 4 inches taller than Sally

x = y + 4

Together their heights equal 124 inches

x + y = 124

We substitute y + 4 for x

y + 4 + y = 124

2y + 4 = 124

Collect like terms

2y = 124 - 4

2y = 120

y = 120/2

y = 60

Solving for x

x = y + 4

x = 60 + 4

x = 64

Therefore,

Tom's height = x = 64 inches

Sally's height = y = 60 inches


Related Questions

The diagram shows the distance between my home, H, and two towns, A and B.
It also shows information about journey times.
A
H
10 miles
Journey time
20 minutes
20 miles
Journey time
30 minutes
a)
What is the average speed of the journey from my home town to A?
b)
What is the average speed of the journey from my home town to B?
C
I drive from town A to my home and then to town B.
The journey time is 50 minutes.
What is my average speed?​

Answers

Answer:

10 MILES

20 MINUTES

20 MILES

30MINUTES

Answer:

a)30 mph

b.)40 mph

c.)36mph

Step-by-step explanation:

Evaluate the function f(x)=-5x2 + 4x -6
when x = 2

Answers

f(x)=-5x2+4x-6

f(2)= -5*2*2+4*2-6

f(2)= -20+2

f(2)=-18

Celeste used 20 inches of ribbon from a spool that holds 36 inches of ribbon. What is the decimal equivalent for the amount of ribbon Celeste uses.

Answers

Answer: 0.56

Step-by-step explanation:

The spool holds a total of 36 inches of ribbon and out tis amount, Celeste used 20 inches of ribbon.

Celeste therefore used 20 / 36 of the ribbon available from the stool.

In decimal this is:

= 20 ÷ 36

= 0.5556

= 0.56

The results of a survey show that baseball is the favourite sport for 18 out of 25 people what is the percent probability for this?
DONT SEND A LINK ​

Answers

Answer:

72%

Step-by-step explanation:

A smart freind of mi e says this is the answer

State whether the following is true or false. If it is false make it true :


24 < 6 + 9

Answers

Answer:

Its false 24>6+9

Step-by-step explanation:

6+9=15

hey can someone help me pls immediately!!! i’ll mark brainiest if u don’t guess or leave links. pls don’t guess tho actually know it if ur going to say the answer

Answers

Answer:

$9

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

between 2 and 4 is 3 sandwiches.

There is a point at 3 and 9

(3,9) $9 for 3 sandwiches

The area of a rectangle is 140 ft. The length of one side is 10 ft. What is the width?



FAST PLEASE

Answers

Answer:

14

Step-by-step explanation:

An investment company guarantees that if you deposit $10,000 into one of their investment accounts, your money will grow by 5% each year.
Write an exponential equation that represents how much money, m, you would have in a certain number of years, t.

Answers

Answer:

m= 10,000(1+.05)^t

Step-by-step explanation:

hope this helps:)

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

10 points, please help

Answers

It has to be c because the others have negatice numbers which would make 1 negative as one neg and one pos and the two negatives would make the 3 be minus 3 which isn’t the equation given

Answer:

C

Step-by-step explanation:

What is the range of their ages?
41
40
37

Answers

Answer:

41-37=4

Answer: 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

help pls i forgot how to solve this

Answers

Answer:

x = 45

Step-by-step explanation:

Brainliest Please!

Red lights flash every 6 seconds. Blue lights flash every 8 seconds. The store owner turns on the lights. After how many seconds will the lights flash at the same time for the first time

Answers

in 24 seconds they will flash at the same time for the first time

encuentra el desarrollo exponencial de cada número 87 69 08​

Answers

Answer:

.

Step-by-step explanation:

Boat A and Boat B are racing across a bay. Boat A is 6 miles ahead of Boat B. Boat A has a top speed of 36 miles per hour, but Boat B has a top speed of 44 miles per hour.

Part A:


If both boats are traveling at their top speeds, how long will it take Boat B to catch up with Boat A?






Part B:


How far will Boat B have traveled when it has caught up to Boat A?

Answers

Answer:

45 min = 0.75 hours

Step-by-step explanation:

Since Boat A is 6 miles ahead of boat B and has a top speed of 36 miles per hour, the distance it moves in time, t is d = 6 + 36t where 36t is the distance it moves in time, t with speed 36 miles per hour.(36t = 36 miles per hour × t hours)

Also, since Boat B has a top speed of 44 miles per hour, the distance d' it moves in time, t with this speed is

d'= 44t (44t = 44 miles per hour × t hours)

When Boat B catches up with Boat A, their distances are equal. So,

d = d'

6 + 36t = 44t

subtracting 36t from both sides, we have

44t - 36t = 6

simplifying

8t = 6

dividing through by 8, we have

t = 6/8 hours

t = 0.75 hours

t = 0.75 × 60 min

t = 45 min

Given that f(x) = 2x – 1, find f(6).
Your answer:
6
7
11
13

Answers

Answer:

11

Step-by-step explanation:

2 times 6 is 12 minus 1 is 11

Input interpretation:

2 x - 1 where x = 6

Result:

11

Leslie wants to buy as many
bookmarks as she can at the book fair.
Each costs 75 cents. If she brings
$5.50, how many can she afford?
OL

Answers

She can afford 7 bookmarks. 22/3 is 7.3333(repeating)

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

Answers

Answer:

5

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

Answer:

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5

Step-by-step explanation:

A triangle has an area of 8 cm2 and a base of
3 cm. What is the height of the triangle?
Show your work!

Answers

Answer:

h = 1 1/3

Step-by-step explanation:

So when we divide base x height by two we get

Lets multiply 8 x 2

16

So now lets divide by 3

16 / 3 = 1 1/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is 1?1?1?1=6 pls help my brain id hurt rn​

Answers

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

Is it possible to create a line segment with "infinite

steepness?

If so, do it, and explain why you think you're right

If not, explain why it's impossible.

Sign out

us

133

Answers

Answer:

No, it is not possible

Step-by-step explanation:

Required

Is it possible to have a line segment with: [tex]m = \infty[/tex]

To answer this question, we will interpret the steepness as slope.

So, we have:

[tex]m = \infty[/tex]

The interpretation of a line with: [tex]m = \infty[/tex] is:

It starts from (x,y_1) and ends at (x,y_2)

When the slope (m) is then calculated, we have:

[tex]m = \frac{y_2 - y_1}{x_1 - x_1}[/tex]

[tex]m = \frac{y_2 - y_1}{0}[/tex]

[tex]m = \infty[/tex]

What this means is that, the line has no end points.

A line segment as described here means a line that has endpoints (i.e. a finite starting point and a finite finish point)

So, we've established that: [tex]m = \infty[/tex] means no endpoints and a line segment has end points, then we can conclude that it is not possible to create a line segment with [tex]m = \infty[/tex]

Steepness of a  line is the rise or fall of it at a sharp angle.The Is it not possible to create a line segment with infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Steepness-

Steepness of a  line is the rise or fall of it at a sharp angle. The slope of the line describe the steepness of a line.

Infinite steepness-

A infinite steepness refers to a vertical line on the graph. When the line with infinite steepness plotted on the graph it is only parallel to the y axis. The change on the x axis is zero and does not move in the x axis, when a line has infinite steepness.

To understand it better suppose a line is passed through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] points. For such line the slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1} [/tex]

The line with infinite steepness does not move in the x axis. The coordinate of the x axis same for the line. Thus,

[tex]x_2=x_1[/tex]

The slope for such line is,

[tex]m=\dfrac{y_2-y_1}{x_1-x_1} [/tex]

[tex]m=\dfrac{y_2-y_1}{0} [/tex]

[tex]m=\infty[/tex]

Thus the slope of the line is infinite. But the line With no finite point is not possible to plot.

Hence the Is it not possible to create a line segment with "infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Learn more about the steepness of the line here;

https://brainly.com/question/806542

ASAPPPPPPPP DUE IN 3 MIN

Answers

Answer:

72

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Area of a trapezoid formula:

[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]

Given:

A = 48

a = 4

b = 12

Work:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]

Water is leaking out of a tank at a steady rate the tank started with 75 gallons after 15 hours the tank has 33 gallons of water

Answers

Answer:

The equation will be "[tex]y=-2.8 x+75[/tex]".

Step-by-step explanation:

The given values are:

Started with,

= 75 gallons

After 15 hrs,

Tank has,

= 33 gallons

Now,

The slope will be:

=  [tex]\frac{33-75}{15}[/tex]

=  [tex]\frac{-42}{15}[/tex]

=  [tex]-2.8[/tex]

Thus,

The equation is "[tex]y=-2.5x+75[/tex]".

i really need help please (links will be reported)

Answers

Answer: all the ones that do not have a negative sign in front easy.

i need help factoring x^2 + 6. can anyone help me?

Answers

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

In Exercises 1 and 2, determine whether the triangles are similar. If they are,
write a similarity statement. Explain your reasoning.

Answers

Answer:

1) yes, all of their angles are equal.  (75°, 45°, and 60°)

2) No, their angles are not equal. (42°, 48°, 90°  vs  58°, 32°, 90°)

Step-by-step explanation:

1.

ΔWXY and ΔRST are similar because they have equal angles.

2.

ΔJKM and ΔKLM are not similar because the angles are not equal.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

1.

In ΔWXY,

∠X = 75

∠Y = 60

∠W = 180 - (75 + 60) = 180 - 135 = 45

In ΔRST,

∠S = 45

∠R = 60

∠T = 180 - (45 + 60) = 180 - 105 = 75

Now,

We can say that,

ΔWXY and ΔRST are similar because they have equal angles.

2.

In ΔJKM,

∠J = 42

∠M = 45

∠K = 180 - (42 + 45) = 180 - 87 = 93

In ΔKLM,

∠K = 58

∠M = 90

∠L = 180 - (58 + 90) = 180 - 148 = 132

ΔJKM and ΔKLM are not similar because the angles are not equal.

Thus,

ΔWXY and ΔRST are similar because they have equal angles.

ΔJKM and ΔKLM are not similar because the angles are not equal.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Simplify this expression
(√2+√3)(√5 -√7)

Answers

Answer:

Step-by-step explanation:

Answer:

pretty sure its the second one

Step-by-step explanation:

The first and last terms in a proportion are called the
amar

Answers

Answer:

What is a Proportion? The four numbers a, b, c and d are known as the terms of a proportion. The first a and the last term d are referred to as extreme terms while the second and third terms in a proportional are called mean terms.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Pls help
Pls help
Pls help

Answers

Answer:

Green) 24in

Yellow) 31in

Blue) 27in

Step-by-step explanation:

Just add each number of the one shape.

To find the Area:

Multiply each number

To find Perimeter:

Add each number

i need help please help me

Answers

I think the answer is 4
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