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
Anna [14]
3 years ago
9

Bryce had a $25 gift card to use on songs and games at an online media store. Songs cost $2 each and games cost $5 each. Bryce s

pent all the money on the gift card to download 8 items. Solve the system to determine how many games he purchased. Let s represent the number of songs and g represent the number of games. s + g = 8 2s + 5g = 25 Bryce purchased games.
Mathematics
2 answers:
yan [13]3 years ago
4 0

Answer:

.

3x + 2y = 16,

Step-by-step explanation:

Viefleur [7K]3 years ago
3 0

Answer:

Bryce purchased 3 games.

Step-by-step explanation:

To find the number of songs and games that Bryce downloaded, we need to solve the following system of equations:

s + g = 8

2s + 5g = 25

We know that:

s + g = 8 → 2s + 2g = 16 → 2s = 16 -2g

2s + 5g = 25 → 16 - 2g + 5g = 25

→3g = 25 - 16

→3g = 9

→ g = 3

Therefore, bryce downloaded 3 games and 5 songs!

You might be interested in
Simplify the expression.<br><br> 4+9⋅2÷3−1
Tanzania [10]

4+9⋅2÷3−1

Use PEMDAS

P= parenthesis

E= exponents

M= multiplication

D= division

A= addition

S= subtraction

9*2= 18

4+18 ÷3-1

4+6-1

10-1

Answer: 9

5 0
3 years ago
The Martinez family has 34 gallon of orange juice in the refrigerator. How many cups of orange juice are in the refrigerator?
kifflom [539]

Answer:

544 cups of orange juice

Step-by-step explanation:

1 gallon = 16 cups

34 x 16 = 544

5 0
2 years ago
Find the value of x in similar polygons below
muminat

Answer:

Choice A

Step-by-step explanation:

When you have two shapes that are similar their sides are always proportional. So all we have to do is set up a proportion.

\frac{18}{4.5}=\frac{x}{1.5}

Now we cross multiply and solve

27=4.5x\\x=6

And that's it x equals 6 feet.

4 0
3 years ago
This is right...A is wrong.
Kipish [7]

Answer:

Answer: I don't know ...

5 0
2 years ago
John, Sally, and Natalie would all like to save some money. John decides that it
brilliants [131]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2)  y=100x+300

Part 3) \$12,300

Part 4) \$2,700

Part 5) Is a exponential growth function

Part 6) A=6,000(1.07)^{t}

Part 7) \$11,802.91

Part 8)  \$6,869.40

Part 9) Is a exponential growth function

Part 10) A=5,000(e)^{0.10t}    or  A=5,000(1.1052)^{t}

Part 11)  \$13,591.41

Part 12) \$6,107.01

Part 13)  Natalie has the most money after 10 years

Part 14)  Sally has the most money after 2 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

y=mx+b

The slope is equal to

m=\$100\ per\ month

The y-intercept or initial value is

b=\$300

so

y=100x+300

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

10\ years=10(12)=120 months

For x=120 months

substitute in the linear equation

y=100(120)+300=\$12,300

Part 4) How much money will John have after 2 years?

Remember that

1 year is equal to 12 months

so

2\  years=2(12)=24\ months

For x=24 months

substitute in the linear equation

y=100(24)+300=\$2,700

Part 5) What type of exponential model is Sally’s situation?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt} 

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

P=\$6,000\\ r=7\%=0.07\\n=1

substitute in the formula above

A=6,000(1+\frac{0.07}{1})^{1*t}\\  A=6,000(1.07)^{t}

therefore

Is a exponential growth function

Part 6) Write the model equation for Sally’s situation

see the Part 5)

Part 7) How much money will Sally have after 10 years?

For t=10 years

substitute  the value of t in the exponential growth function

A=6,000(1.07)^{10}=\$11,802.91 

Part 8) How much money will Sally have after 2 years?

For t=2 years

substitute  the value of t in the exponential growth function

A=6,000(1.07)^{2}=\$6,869.40

Part 9) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt} 

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

P=\$5,000\\r=10\%=0.10

substitute in the formula above

A=5,000(e)^{0.10t}

Applying property of exponents

A=5,000(1.1052)^{t}

 therefore

Is a exponential growth function

Part 10) Write the model equation for Natalie’s situation

A=5,000(e)^{0.10t}    or  A=5,000(1.1052)^{t}

see Part 9)

Part 11) How much money will Natalie have after 10 years?

For t=10 years

substitute

A=5,000(e)^{0.10*10}=\$13,591.41

Part 12) How much money will Natalie have after 2 years?

For t=2 years

substitute

A=5,000(e)^{0.10*2}=\$6,107.01

Part 13) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

Part 14) Who will have the most money after 2 years?

Compare the final investment after 2 years of John, Sally, and Natalie

Sally has the most money after 2 years

3 0
3 years ago
Other questions:
  • A pig gained 14 pounds, and it now weighs 45 pounds. Write 4 equations to represent p, the weight of the pig before gaining the
    10·1 answer
  • Which is the mode for the data set? <br>-1, 0, 3, 4, 3, 1<br><br>-0.5<br>0.3<br>2<br>-1​
    5·1 answer
  • Diana usually drives at average rate of 30 mph.
    14·1 answer
  • A weight-loss program claims that, on average, participants lose 10 pounds during the first month of participation. An independe
    5·1 answer
  • Please help fast!! this si my last question!
    6·1 answer
  • I need help on #10. I figured the other ones out
    10·1 answer
  • Solve the following formula for m v2=3Pmn
    13·1 answer
  • Systems of Equations - Elimination method <br> 2x-y=17 x-y=10
    12·2 answers
  • A transformation is applied to the graph of f (x) = 2x2 + 3x - 4 to create a new graph for g(x) = 2x2 + 3x + 7.
    14·1 answer
  • Don't spam...<br><br>Step by step explaination needed...​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!