1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bas_tet [7]
3 years ago
7

In 10 years, Roman will be 2 times Seth's age. 5 years ago Roman was 3 times Seth's age. HOW OLD IS SETH???

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
Let s be Seth's age. let r be Romans age. 5 years ago Seth was s-5 and Roman was three times as old, or 3(s-5), or 3s-15=r-5

in ten years Seth will be s+10 and Roman will be twice as old, or 2(s+10), or 2s+20=r+10
3s-15 =r-5
r=3s-10

2s+20=r+10
r=2s+10

3s-10=2s+10
s=20

Seth is 20 years old

setting the two equations equal gives us
3(s-5)=2(s+10)
3s-15=2s+20
s=35
You might be interested in
Find the missing side. Round to<br> the nearest tenth.<br> Х<br> 28°<br> 15<br> x = [?]
Effectus [21]

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

In the given triangle,

\cos 28^\circ=\dfrac{15}{x}

x=\dfrac{15}{\cos 28^\circ}

x=\dfrac{15}{0.8829476}

x=16.98855

Round the value to the nearest tenth.

x\approx 17.0

Therefore, the value of x is 17.0 units.

8 0
3 years ago
I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*
Yuri [45]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

4 0
2 years ago
Read 2 more answers
The shapes show that there are 4 squares for every
Elenna [48]

Answer:

dats alot there shortie, anyways...how you doing and if you answer this...i have sum you might like to hear

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The bisector of one of the angles of a rectangle also bisects a side of the rectangle. Find the perimeter of the rectangle if yo
enot [183]
The answer is 60... Draw a rectangle. Now draw a line that splits the bottom left corner in two but also cuts the long side on the top in half. A rectangle has 4 right angles right? So the bisector, or a line that splits something in half, splits the right angle, a 90 degree angle, in half making it a 45 degree angle. Did you notice the bisector made a triangle?
A triangle has angle measures that always add up to 180 degrees. So you know that triangle has two angles: a 45 and 90 degree angle... Add those up and you get 135. 180-135 gives you the other angle: 45 degrees...
So you know that the triangle is a 45-45-90 triangle... The two legs or side lengths that I marked on the triangle with a small line are congruent in a 45-45-90 triangle and since the short leg of the rectangle is equal to 10cm and the split in half long side of the rectangle is also 10 which you double to 20. 20+20+10+10=60.
5 0
3 years ago
Given the following equations, find a formula for g(ſ(x))<br> g(x) = -X-7<br> F(x)=-8x^2-5
andre [41]
Answer: 8x^2 -2

Explanation:
Think about it like your pluging in a number for x, like g(1) or g(x+1), but plug in the equation for f(x)
g(f(x))= -(-8x^2 -5) -7
=8x^2 +5 -7
=8x^2 -2
5 0
3 years ago
Other questions:
  • Twenty-five students go to lunch. Pizza costs $3 and sandwiches cost $2. Twelve students buy pizza. What is the total amount of
    15·1 answer
  • To make curtains for a living room window for a customer, you will need three pieces of fabric in the following lengths: 3 feet,
    12·1 answer
  • The answer and how to solve pls
    9·1 answer
  • Subtract. -8- 21= would -13 be the answer
    15·1 answer
  • Frank earns $57,100 one year and receives a 7% raise in salary.what is his new salary?
    7·1 answer
  • Write an equation perpendicular to y=3/4x-1 that passes through the point (3,-3)
    15·1 answer
  • The most important math skill for making change is
    13·1 answer
  • Write as an equation:The sum of 4 and s is 25
    12·2 answers
  • What is the relationship? Plzzz help it’s for right now
    15·2 answers
  • What are the roots of the polynomial equation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!