I stores having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. Find the cost for each pound of jellybeans and each pound of trail mix

Answers

Answer 1

Answer: The cost of each pound of jellybean is $2.5

The cost for each pound of trail mix is $1.5

Step-by-step explanation:

Let the cost for each pound of jellybeans be x.

Let the cost of each pound of trail mix be y.

Based on the information given, we can form an equation which will be:

For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:

2x + 12y = 23 ...... i

For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:

5x + 3y = 17...... ii

2x + 12y = 23 ...... i

5x + 3y = 17...... ii

Multiply equation i by 5

Multiply equation ii by 2

10x + 60y = 115 ...... iii

10x + 6y = 34 ..... iv

Subtract iv from iii

54y = 81

y = 81/54

y = 1.5

The cost for each pound of trail mix is $1.5

From equation i

2x + 12y = 23

2x + 12(1.5) = 23

2x + 18 = 23

2x = 23 - 18

2x = 5

x = 5/2 = 2.5

The cost of each pound of jellybean is $2.5


Related Questions

help help please help help

Answers

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

What are the coordinates of the point plotted on this graph?

Answers

The answer is C: (-1, -8)

C the left bottom corner is negative. The answer is (-1,-8)

What is £8.19 minus 10%

Answers

Answer:

7.391

Step-by-step explanation:

Find 10% of 8.19

8.19*10%

8.19 *.10

.819

Subtract this from 8.19

8.19-.819

7.391


Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?

Answers

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

What is the range of this function?

Answers

Answer:

[0, ∞)

0≤y<∞

Step-by-step explanation:

The range is the possible values that y can take

y  goes from 0 to positive infinity

[0, ∞)

0≤y<∞

Answer:

[tex]y\geq 0\\[/tex]

y ∈ [0, ∞)

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).

What is the surface area of the rectangular prism below? 8 19 8​

Answers

The answer is c because S=Ph+2b

Answer:

736 units squared (c)

Step-by-step explanation:

Took the quiz

23 points help plzzz

Which number is an integer?

O -3/4
O 1/5
O 2
O 4 2/3

Answers

The answer is 2 ez.

Answer:

2

Step-by-step explanation:

hope i helped :))


Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?



Answers

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

Consider the function f(x) = 2^x
and function g
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function ?

Answers

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

How to solve this problem

Answers

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

which function represents the inverse of the function f(x)=4x

Answers

Answer:

the answer is number 4 h(x) = 1/4 x

Answer:

the  answer is 4 h(x) = 1/4 x.

Step-by-step explanation:

plz help now i need it like now ​

Answers

Answer:

45 percent

Step-by-step explanation:

Hank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?

Answers

Answer:

The height of the tree is 430cm

Step-by-step explanation:

Given

The attached illustration

Required

The height of the tree

Let:

[tex]h \to[/tex]  Hank's height

[tex]H \to[/tex] Tree height

[tex]d \to[/tex] distance between Hank and Mirror

[tex]D \to[/tex] distance between tree and Mirror

From the question, we have:

[tex]\angle 1 = \angle 2[/tex]

This means that:

[tex]\frac{H}{D} = \frac{h}{d}[/tex]

Make H the subject

[tex]H = \frac{h}{d} * D[/tex]

So, we have:

[tex]H = \frac{172cm}{190cm} * 475cm[/tex]

[tex]H = \frac{172* 475cm}{190}[/tex]

[tex]H = \frac{81700cm}{190}[/tex]

[tex]H = 430 cm[/tex]

In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test

Answers

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]

The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

[tex]H_0: \mu = 22.6[/tex]

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

[tex]H_1: \mu < 22.6[/tex]

Will mark brainlest!
formula of (x+1)cube

Answers

Answer:

(x+1)^3=x^3+3x^2+3x+1

Answer:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

Step-by-step explanation:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]

How many prime numbers less than 20

Answers

Answer:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Step-by-step explanation:

Can someone please help ASAP!!

Answers

Step-by-step explanation:

you need to find:

uw:

uv:

vw= 8(already known)

Measure of W= 35

Measure of u= 90

measure of v= 180-90+35= 55

finding uv:

sin(35)= uv/8

0.57=uv/8

4.56=uv

finding uw:

sin(55)= uw/8

0.82= uw/8

6.56= uw

help me please geometry!!

Find the missing side length.

Answers

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC

Answers

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

AB = DEBC = EFCA = FD

Find the area of the kite with diagonals a= 12 and b=9

A) 30
B) 72
C) 54
D) 108

Answers

maybe 108 is the answer.

Mark Brainliest please

Answer :

A=pq/2=12*9/2=54

can someone please help me solve?

Answers

Answer:

0.75

Step-by-step explanation:

d = FE = 4

e = DF = 3

f = ED = 5

f/sin(F) = e/sin(E)

5/sin(90) = 3/sin(E)

5 = 3/sin(E)

sin(E) = 3/5 =0.6

E = asin(0.6) = 36.869898... degrees

tan(E) = tan(36.869898...) = 0.75

If Volume of a Prism=36 m3

, then what is the volume of a pyramid?​

Answers

Answer!12 m³Solution!

V(volume of pyramid) = ⅓ x V(volume of prism)

V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³

___________________________

And, to get the volume of prism, simply multiply the volume of pyramid by 3.

if volume of pyramid=12m³, then volume of prism is 36 .

Solution;:

V(volime of prism) = V(volume of pyramid) x 3

V(prism) = 12m³ x 3V(prism) = 36 m³

___________________________

Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.

Write the missing power of 10 in each equation.

0.80 × [ ] = 8
[ ] × 0.002 = 20
0.04 × [ ]= 4
[ ]× 0.5 = 500

Answers

1. 10 or 10 to the first power
2. 10000 or 10 to the fourth power
3. 100 or 10 to the second power
4. 1000 or 10 to the third power

Please help, I’m so lost question in picture

Answers

It’s the last one with 8*y+ 8*5

URGENT!!!

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Five times the sum of twice a number and 12 is -55. Find the number

Answers

5(2x+3) = 15
10x + 15 = 15
10x= 0

The vertices of a triangle are located on a coordinate grid as follows: A (2,2) ,B (2,-6) , and C (-5,-6) . What is the area of ABC ? A. 6 square units B. 12 square units C. 28 square units D. 56 square units

Answers

The answer for this question will be c. 28 square units.

If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB​

Answers

Answer:

B

Step-by-step explanation:

26 divides by 2 = 13

13+2=14

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

What are the coordinates for b?

Answers

Answer:

Step-by-step explanation:

(0,-3.5)

Answer:

(0, -3.5)

Step-by-step explanation:

The x coordinate is first

We stay on the y axis so the x coordinate is 0

The y coordinate is second

We go down 3 1/2 units so the y coordinate is -3 1/2

(0, -3.5)

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