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
inysia [295]
3 years ago
13

Its a word problem in algebra 1 that i need help on step by step ?

Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

Cost of one rose bush =  $2 and cost of 1 geranium = $11

Step-by-step explanation:

lets assume cost of one rose bush = $x

lets assume cost of one geranium = $y

Given that Norachai spent $13 on 1 rose and 1 geranium

⇒ 1 × (cost of one rose bush) + 1× (cost of one geranium) = 13

⇒ 1x + 1y = 13     ----------------------------equation 1

Also given that Castel spent $46 on 1 rose bush and 4 geraniums

⇒1 × (cost of one rose bush) + 4× (cost of one geranium) = 46

⇒ 1x + 4y = 46    ----------------------------equation 2

Now we are having following two equations which will be used to find the value of x and y

1x + 1y = 13     ----------------------------equation 1

1x + 4y = 46    ----------------------------equation 2

lets modify equation 1 to get value of  y in terms of x and name that equation as equation 3

1x + 1y = 13     ----------------------------equation 1

⇒ y = 13 - x    -----------------------------equation 3

On substituting value of y from equation 3 in equation 2 we get

1x + 4 × ( 13 - x ) = 46

⇒ x + 52-4x =46

⇒ -3x = 46-52

⇒     x = (-6)/(-3) = 2

on substituting calculated value of x that is 2 in equation 3 we get

y = 13 -2 = 11

so on solving the equations we get x = 2 and y = 11.

Hence cost of 1 rose bush = $x = $2 and cost of 1 geranium = $y = $11






You might be interested in
A road construction crew paves 1/5 mile every day. How much would they pave in 2 days?
Helen [10]

Answer: 0.4 miles


Step-by-step explanation:

You can use the equation y=1/5x to help you figure it out where x is the days and y is the length. y=1/5(2). y=2/5 or 0.4 miles. Please vote my answer as brainliest

7 0
3 years ago
Read 2 more answers
What is the volume of a cylinder with a diameter equal to 6 and height equal to 8? Let pi = 3.14.
Sindrei [870]
Volume of a cylinder is pi*(radius)^2* height. pi is 3.14 and radius is half of diameter which would be 3. height is 8. Thus volume of a cylinder in your case is pi*9*8 or 72*pi which is approximately 226.19
8 0
3 years ago
Y=x +5<br> 5x + 2y=1<br><br> Can you show the steps thanks
lubasha [3.4K]

Answer:

(-9/7,-26/7)

[more detailed at the bottom of the explanation]

Step-by-step explanation:

I am assuming that this is a system of equations...

So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.

—————

Step 1)

Equation 1:

y = (x + 5)

Equation 2:

5x + 2y = 1

Equation 2 can also be written as:

5x + 2(x+5) = 1

I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.

—————

Step 2)

Solve for x .

5x + 2(x+5) = 1

5x + 2x + 10 = 1

7x + 10 = 1

7x = 1 - 10

7x = -9

x = -9/7

—————

Step 3)

Plug the x value back in the first equation.

y = -9/7 + 5

y = -26/7

—————

Solution:

x = -9/7

y = -26/7

In ordered pair form:

(-9/7,-26/7)

————— ————— —————

Hope this helps !!!!!!!

5 0
3 years ago
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.
Elina [12.6K]

• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00

6 0
3 years ago
Read 2 more answers
Please answer this &lt;3
luda_lava [24]

Answer:

600 sq in

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How do you do this? Why's the answer??
    8·2 answers
  • 24÷4=6 can be thought of as 24 broken into 4 groups of 6 each.
    15·1 answer
  • The two angles shown in the figure are supplementary. What is the value of x? 6(x+1) other angle is 48°
    8·1 answer
  • Use the distributive property to multiply the polynomials.
    10·1 answer
  • Solve for x in the triangle
    13·1 answer
  • Find the difference.<br> 3x2y - x2y<br><br> A. 2 <br> B. 2x2y <br> C. 3x2y <br> D. 4x2y
    14·1 answer
  • Solve the following quadratic equation.
    10·1 answer
  • How many pieces are there on the rubix cube
    6·2 answers
  • <img src="https://tex.z-dn.net/?f=9%20%2B%203%20%5C%5C%206%20%2B%208" id="TexFormula1" title="9 + 3 \\ 6 + 8" alt="9 + 3 \\ 6 +
    6·1 answer
  • Two opponents Playing chess start out with 32 pieces on the chess board . Each person loses an equal amount of pieces over 15 mi
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!