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A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer 1

Answer:

3x + 8y = 31

5x + 2y = 12

Let's solve your system by elimination.

Multiply the second equation by -4, then add the equations together.

(3x + 8y = 31)

−4 (5x + 2y = 12)

Becomes:

3x + 8y = 31

−20x − 8y = −48

Add these equations to eliminate y:

−17x = −17

Then solve −17x = −17 for x:

−17x = −17

−17x −17 = −17 − 17 (Divide both sides by -17)

x = 1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x + 8y = 31

Substitute 1 for x in 3x + 8y = 31:

(3)(1) + 8y = 31

8y +3 = 31 (Simplify both sides of the equation)

8y + 3 − 3 = 31 − 3 (Add -3 to both sides)

8y = 28

8y8 = 288 (Divide both sides by 8)

y = 7/2


Related Questions

The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences

Answers

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

please help me mathematics = x²+2x-24=0​

Answers

Answer:

x=4

or

x=-6

Step-by-step explanation:

did you know u can solve that equation on your calculator without much struggle?

Answer:

Factors = > (x - 4) (x + 6)Value = > x = 4, -6

Step-by-step explanation:

= > x^2 + 2x - 24

= > x^2 + 6x - 4x - 24

= > x(x + 6) - 4(x + 6)

= > (x - 4) (x + 6)...ans

x = -6 , 4

Hope it helps you!!

The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?​

Answers

3

Step-by-step explanation:

i need help to

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Answers

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.

Answers

Answer:

I wanna have fun sike lol

Step-by-step explanation:

I need help on this please help

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4

The answer is 4 because if you multiply 4 three time you will get 64

Step by step
4x4=16
16x4=64

what's
- 5 3/4 + (-4 5/6) in simplest form​

Answers

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Need help! attachment below. will give brainlist

Answers

Answer:

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .

Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

Step-by-step explanation:

Hope it helps!

The graph of function f is shown below. Find f(-4)

Answers

Answer:

pls give the correct question the question is not correct

Which expression is the additive inverse of -5/8?

A) 8/5
B) 5/8
C) -5/8
D) -8/5

Answers

Answer:

b

Step-by-step explanation:

Describe a real life example of any one of Newton's Laws. It cannot be an example already listed in this portfolio. Make sure you're adequately describing your example and how it represents the law(s). (4-5 sentences)

Answers

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

Read. more;

https://brainly.com/question/10454047

The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791​

Answers

Answer:

11764.5

Step-by-step explanation:

Given numbers:

22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249

Put the numbers in ascending order:

1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687

Since the set is even, the median is the average of the middle numbers:

(5738 + 17791)/2 = 11764.5

What is the least common denominator of 10/19 and 2/13

Answers

Answer:

Step-by-step explanation:

Step 1 find the least common multiple of lcm of the denominators

Write the product as a power.
18 x 18 x 18 x 18 =

Answers

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

You multiply it by itself 4 times, therefore being 18 to the power of 4

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.

whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!

evaluate: (5/6 + 2/3) - (3/4 + 1/12)

answer as a fraction in simplest form

Answers

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer

Therefore, Evaluated form is 2/3.

Read more:

Similar questions

Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...

https://brainly.com/question/2283953?referrer

Edgar Elementary
School is having a reading contest. Six
fourth-grade classes each set a goal to read
1,266 pages. Six fifth-grade classes each
set a goal of 2,212 pages. How many more
pages does each fifth-grade class have to
read than each fourth-grade class?

Answers

Answer:3333

Step-by-step explanation:

You supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many pounds of dog food will you use In 7 days

Answers

Answer:

73.5 pounds of dog food in 7 days

Step-by-step explanation:

10 1/2 x 7

10x 7 =70

1/2 x 7 = 3.5

70 + 3.5 =73.5 pounds of dog food in 7 days

The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?

Answers

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

Write 34% as a fraction in simplest form

Answers

Answer:

The answer is that the simplest fraction form of 34% is 17/50

Step-by-step explanation:

Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.

34% = 17/50

Have an awesome day! :D

Answer:

[tex]\frac{17}{50}[/tex]

Step-by-step explanation:

To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].

Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.

[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]

Multiplications that give 48 as a result

Answers

Answer:

1 ×48=48

2×24=48

3×16=48

4×12=48

6×8= 48

Which expression is equivalent to 4 (5X + 3y)

Answers

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

cuanto es 3/5 menos 1/2

Answers

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

the answer to your question is 1/10

Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth

Answers

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

Rest of the options

Answers

Yep, it's C. The answer is C

Eddie's overtime is figured on a 40-
hour work week. Last week he
worked the following hours:
Monday = 9.7
Tuesday = 8.3
Wednesday = 8
Thursday = 9.1
Friday = 8.6
=
He is paid time and a half for
overtime and makes $14.40 for
regular hours. What is Eddie's gross
pay?

Answers

Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

$655.92

Step-by-step explanation:

Total number of hours worked:

9.7 + 8.3 + 8 + 9.1 + 8.6 = 43.7

Overtime hours:

43.7 - 40 = 3.7

Gross payment:

40*14.4 + 3.7*14.4*1.5 = 655.92

what is the equation of the line in the slope-intercept? write your answer in simplest form.​

Answers

Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

Please help!

Find the equation of this line.

Answers

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y - intercept = b = 2 (point of intersection of the y-axis)

m = slope

Slope = Change in Y/Change In X

You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2

What is the value of x in this triangle?




56.51°


.58°


28.89°


33.49°

Answers

Answer:

  x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

  Sin = Opposite/Hypotenuse

  siin(x) = 32/58

The angle measure is found using the inverse function:

  x = arcsin(32/58) ≈ 33.49°

Answer:

i got 32 is it 32 cause i put 33 cause it was closer

Step-by-step explanation:

Order from least to greatest -0.4, -1/5, and -0.65

Answers

least to greatest:
-0.65, -0.4, -1/5.

Tell me if want step by step!!

Hope this helped. :(

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

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