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
MAXImum [283]
3 years ago
8

1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the

equation?
2) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 4 more of the twenties. The total value of the money is $305.00. Find the number of twenty-dollar bills. What is the equation?
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

You might be interested in
Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If
Nat2105 [25]
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
6 0
3 years ago
Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
nydimaria [60]

Answer:

50

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

110

So, let's solve both inequalities.

1)

110

Subtract 10 from both sides:

100

Divide both sides by 2:

50

2)

2x+10

Subtract 10 from both sides:

2x

Divide both sides by 2:

x

So, our inequality is now:

110

Since we solved the equations:

50

Written as a compound inequality, this is:

50

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

4 0
3 years ago
Read 2 more answers
If 2^x=1/32, find the value of x
Dovator [93]

Answer:

In this equation x is equal to -5.

Step-by-step explanation:

In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.

2^-5 = 1/32

3 0
3 years ago
HELP GIVING BRAINLIEST!
KengaRu [80]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an
leva [86]

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

A=P(1+\frac{r}{n} )^{nt}

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

3 0
3 years ago
Other questions:
  • ^ need help !!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • 7x+3(-x+6)=42 Show all steps and properties used
    6·1 answer
  • Tasha has foam blocks stored in a box that measures 3 1/4 ft long by 3 ft wide by 1 ft tall.
    8·2 answers
  • What is 7/4 as a mixed number?
    7·2 answers
  • How do I find the measure of an angle
    15·1 answer
  • Make x the subject of the formula .<br><br> w=x+y
    15·2 answers
  • 12 didvided by two thirds
    7·1 answer
  • 46°<br> M<br> (5r-11°<br> I need help this isn’t the equation i’ll add a picture
    13·1 answer
  • I need some help on this question! I will mark if you help!
    5·1 answer
  • Sets<br> Let A = {1, 2, 3, 8} and {x | x is an even whole number less than 9}, find An B <br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!