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
dolphi86 [110]
4 years ago
5

Use simultaneous equations to solve the following. Three kilograms of jam and two kilograms of butter cost $29 and six kilograms

of jam and three kilograms of butter cost $54. Find the cost of one kilogram of jam and one kilogram of butter.
Mathematics
1 answer:
artcher [175]4 years ago
6 0

Answer:

The cost of 1kg jam is $7 and the cost of 1kg butter is $4

Step-by-step explanation:

Let jam = x

butter = y

3x + 2y = 29 -----(1)

6x + 3y = 54 -----(2)

(1)×2 ->

6x + 4y = 58 -----(3)

(3)-(2) ->

y = 4

suby=4into(2)

6x + 3(4) = 54

6x = 42

x = 7

(Correct me if i am wrong)

You might be interested in
The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of 1/4 is used to make a scale model of th
vivado [14]
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.

                  new dimensions:
                              = 18 ft / 4 = 9/2 ft
                               = 16 ft / 4 = 4 ft

The area is calculated by multiplying the dimensions,
                       Area = (9/2 ft)(4 ft) = 18 ft²

Therefore, the area of the scale model is equal to 18 ft². 
5 0
4 years ago
What is 6290 divided by 86?
Zepler [3.9K]
It's 6290/86= 73.1395
8 0
3 years ago
There are approximately 7.5×10^18 grains of sand on earth. There are approximately 7×10^27 atoms in a average human body. Are th
grandymaker [24]
There are more atoms in average human body than grains of sand on Earth. We can know it because we can see that atoms' number (7 * 10^27) is being multiplied by much greater number (with 9 zeros more) than grain's number (7.5 * 10^18).
4 0
3 years ago
The times for completing one circuit of a bicycle course are normally distributed with a mean of 72.5 minutes and a standard dev
polet [3.4K]

Answer:

76.881 minutes

Step-by-step explanation:

If we look for the value of 25% in the normal distribution table, it corresponds to z = - 0.674

I mean:

P( Z < - 0.674) = 0.25

Now, we know that the formula in this case would be

cut off time = m - z*sd

where m is the mean and sd is the standard deviation.

replacing these values we have left:

cut off time = 72.5 - (-0.674)*6.5

cut off time = 76.881

Therefore the time limit would be 76.881 minutes

6 0
3 years ago
Five donuts and 3 cinnamon rolls cost $11.50. Eight donuts and 6 cinnamon rolls
Papessa [141]

Answer:

The cost of one donuts is $1.25 and the cost of one cinnamon is $1.75

Step-by-step explanation:

Let

x-----> the cost of one donuts

y ----> the cost of one cinnamon

we know that

5x+3y=11.50 -----> equation A

8x+6y=20.50 -----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (1.25,1.75)

see the attached figure

therefore

The cost of one donuts is $1.25 and the cost of one cinnamon is $1.75

4 0
4 years ago
Other questions:
  • Which value of m will create a system of parallel lines with no solution? y = mx – 6 8x – 4y = 12 m = Mark this and return
    11·2 answers
  • 5xsquared- 2xy+ysquared
    8·1 answer
  • This only has one solution and I needz some halp with this. f - 6 = f + 8
    9·2 answers
  • Order the terms p 2, p 4, p 3, and p in descending powers of p.
    8·2 answers
  • Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
    11·1 answer
  • Find the measure of Angle B
    6·1 answer
  • In American roulette, the wheel has the 38 numbers00, 0, 1, 2, ..., 34, 35, and 36 marked on equally spaced slots. If a player b
    8·1 answer
  • If a sample proportion is 0.65, which range of possible values best describes
    9·1 answer
  • Which rational number best describes Point A and Point B on the number line? *
    13·1 answer
  • What value of n make the equation true ?<br> -15 n + 7 = 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!