A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?

Answers

Answer 1

Answer:

32 pounds of almonds

Step-by-step explanation:

Let the number of pounds of almond be a while that of cashews be c

we want to make a total of 80 pounds

Thus;

a + c = 80 ••••••••(i)

Furthermore;

Let us work with the costs

Costs of a pounds of almonds will be ;

a * 2.5 = 2.5a

cost of c pounds of cashews

c * 3.25 = 3.25c

Total cost at which they sell will be 80 * 2.95 = 236

Thus;

3.25c + 2.5a = 236 •••••(ii)

From i, c = 80-a

Put this into ii

3.25(80-a) + 2.5a = 236

260-3.25a + 2.5a = 236

0.75a= 24

a = 24/0.75

a = 32


Related Questions

how many centimetres are there in a metre​

Answers

Step-by-step explanation:

your answer is 100 metres

I believe it would be 100. Not sure tho

The sum of four consecutive integers is 48. What is the smallest of four integers?

Plz hurry

Answers

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

What is the solution to 4 x + 6 less-than-or-equal-to 18?

Answers

Answer: x more-than-or-equal-to 3

Step-by-step explanation:

PLEASE HELPPP i’ll give brainliest

Answers

the correct answer is the 3rd option !! good luck

f. Rotated 90° about (0,0)
clockwise
R (2, -1) R ( , )
S (4.0) S ( , )
T (1,3) T ( , )

PLEASE ANSWER!!!

Answers

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , then

R(2, - 1 ) → R'(- 1, - 2 )

S(4, 0 ) → (0, - 4 )

T(1, 3 ) → T'(3, - 1 )

10x + 4y = 24 6x +12y = 48 What is the value of y? *
A. 7
B. 7/2
C. 1
D. -7/2​

Answers

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

write 0.1 as a fraction​

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

1/100

Step-by-step explanation:

I  hope this is right :l mmmmmmmmmmmmmmmmmm

What is the x coordinate of the solution to the system of equations?
{ x- 5y =23
{ -2x - 6y =2

Answers

Answer:

The x coordinate of the solution to the system of equations is 8

Step-by-step explanation:

We need to find the x coordinate of the solution to the system of equations?

[tex]x- 5y =23\\-2x - 6y =2[/tex]

Let

[tex]x- 5y =23--eq(1)\\-2x - 6y =2--eq(2)[/tex]

Multiply equation 1 with 2 and add both equations

[tex]2x- 10y =46\\-2x - 6y =2\\-------\\-16y=48\\y=\frac{48}{-16}\\y=-3[/tex]

So, we get the value of y = -3

Now, for finding x, put value of y in equation 1

[tex]x- 5y =23Put\:y=-3\\x-5(-3)=23\\x+15=23\\x=23-15\\x=8[/tex]

So, we get x = 8

The solution set is (8,-3)

So, the x coordinate of the solution to the system of equations is 8

The percent decrease of an item that dropped in price from $50 to $43 is what ?
a. 7%
b. 14%
c. 43%
d. 86%

Answers

Answer:

B. 14%

Step-by-step explanation:

To find the percent decrease, find the difference between the two prices then divide it by the original price:

50 - 43 = 7

7/50

= 0.14

So, the percent decrease is B, 14%

determine if the sequence below is arithmetic or geometric indeterminate the common difference/ratio and simplest form 17, 13, 9​

Answers

Answer:

It is an arithmetic sequence

Common difference is -4

Step-by-step explanation:

Here, we want to determine the type of sequence

As we can see, the difference between each of the terms is as follows;

13-17 = 9-13 = -4

What this mean is that we have a constant common difference

This simply shows that the sequence we have is an arithmetic sequence

The common difference is thus;

13-17 = 9-13 = -4

You were charged interest of $6.31 for Purchases (near section 8). Why?

Answers

Answer:

B

Step-by-step explanation:

You had a balance of $535.07 from the previous month and only paid $450.00 so you didn’t pay off your balance in full.

We travel 325 miles in 5 hours. What is the unit rate?

Answers

Answer:

65 miles per hour.

Step-by-step explanation:

To find the unit rate, we need to figure out how far we travel in one hour.

325/5 = 65/1

We travel 65 miles in one hour.

Answer:

65 mph (miles per hour)

Step-by-step explanation:

Because unit rate is a rate where the second quantity is one unit.

And to find miles per hour in this equation you have to divide 325 miles by 5 (because it is 5 hours) and you get 65.

Have a wonderfull day/ night! I hope this is helpful to you.

If triangle DEF is congruent to triangle GJH, find each missing angle?

Answers

Answer

<F = 105°

<G = 41°

<J = 34°

GJ = 19m

JH =14m

GH = 16m

Step-by-step explanation:

Since triangle DEF is congruent to triangle GJH, the following are true

<D = <G

<E = <J

<F = <H

Given

<H = 105°

Hence <F = 105°

Also <E = 34° =<J

From ∆GHJ

<G+<H+<J = 180°

<G+105+34 = 180°

<G + 139 =180

<G= 180-139

<G = 41°

Get the sides. For the sides, the following are true

DE = GJ = 19m

Also EF =JH = 14m

DF =GH = 16m

property name for 19+63=63+19​

Answers

it’s the commutative property of addition

mark me brainliest if the answer is correct, thank you in advance :)

Mike can pick 50 strawberries 5 minutes. How many can Mike pick in one minute?

Answers

Answer:

10 strawberries

Step-by-step explanation:

If Mike can pick 50 strawberries in 5 minutes then it is safe to assume that for 1 minute, Mike can pick 10 strawberries since you divide 50 by 5 in which Mike can pick a strawberry for every 6 seconds.


Carmen purchased a prepaid phone card for $30. Long distance calls cost 19 cents a minute using this card. Carmen used her card only once to make a long
distance call. If the remaining credit on her card is $26.39, how many minutes did her call last?

Answers

Have 3896minutes in creadit on her card

Answer:

19

Step-by-step explanation:

30-26.39=3.61

3.61 divided by 0.19 = 19

hope this helps :)

*URGENT* I NEED HELP WITH ALL MY QUESTIONS PLEASE

Answers

Answer:

I don't know

5000x0.75+3000 should give you your answer. I think it's the 3rd one because 0.75+3000=3000.75.

Which solution set is graphed on the number line?

O x21
O x>1
0x<1
O x51


Answers

Answer:

x < 1

Step-by-step explanation:

x is less than 1, we can see

we have an open circle, so x is only less than 1

it does not include 1

so answer is x < 1

oaquin counted the number of steps on each level as he ran up the stairs of the tower.
Level Numerical Expression Number of Stairs
1 32 x 1 32
2 32 x 2 64
3 32 x 3 96
4 32 x 4 128
Based on this relationship, how many stairs will Joaquin count by the 23rd level?
A. 165
B. 55
C. 756
D. 736

Answers

Answer:

D

Step-by-step explanation:

As soon as you see a number times 1 thats how you can find your unit rate, or constant of proportionality.

So since we know that we are going by 32's, we would do 32 23 times, in other words, 32x23

And when you use a CALCULATOR or pencil and paper you get D, which is 736 stairs

Give examples of Inverses (ex: are 3 and -3 inverses?)

Answers

Answer:

3, -3 ; 4, -4

Step-by-step explanation:

Yes, 3 and -3 are inverse because positive is the inverse of negative.

You could also write

[tex] {3}^{2} [/tex]

and

[tex] \sqrt{3} [/tex]

because squares and square roots are inverse operations.

multiply 2 x (-21) x 7

Answers

The answer is -294.
the answer is -294 i think because you multiply -21 by 2 which would give you -42 and then you multiply it by seven which gives you -294

Which is the largest of these fractions?

Answers

Answer:

6/11

Step-by-step explanation:

it is the only fraction that is over 0.5 as a decimal

A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item.

Cost of washer:

Cost of dryer:

Answers

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

Find the product of the expression:
(3x^2) (5x^8) (6x^5)

Answers

Answer:

[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}[/tex]                  

Step-by-step explanation:

Given the expression

[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)[/tex]

Apply the exponent rule:

[tex]a^b\cdot \:a^c=a^{b+c}[/tex]

so the expression becomes

[tex]\left(3x^2\right)\:\left(5x^8\right)\:\left(6x^5\right)=3\cdot \:\:5\cdot \:\:6x^{2+8+5}[/tex]

Add the exponent numbers: 2+8+5=15

                             [tex]=3\cdot \:5\cdot \:6x^{15}[/tex]

Multiply the numbers: 3×5×6=90

                             [tex]=90x^{15}[/tex]

Therefore, we conclude that:

[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}[/tex]                        

What is percentage increase

Answers

Answer:

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increases by an additional 5 parts.

FIRST ONE TO GIVE ME A CORRECT ANWSER GETS BRAINLIEST

Answers

Answer:

multiply by 5, t = 14.5

Step-by-step explanation:

t/5 = 2.9 (multiply each side by 5)

t = 14.5

On some days, Jardon travels from home directly to his
work. On other days, Jardon visits with his friend on his way
to work.

Approximately how much farther would Jardon travel by
walking from his home to his friend's house and then from
his friend's house to work than he would travel by walking
from his home directly to work?

Answers

Using the Pythagorean Theorem, it is found that he would travel 92 miles farther by  walking from his home to his friend's house and then from  his friend's house to work than he would travel by walking  from his home directly to work.

The Pythagorean Theorem states that, on a right triangle, the length of the hypotenuse squared is the sum of the length of each leg squared, that is:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Walking from his home to his friend's house and then from  his friend's house to work, Jardon travels 240 + 120 = 360 yards.

Directly from his home to work, the distance is the hypotenuse of a right triangle with legs [tex]l_1 = 240, l_2 = 120[/tex], hence:

[tex]d^2 = 240^2 + 120^2[/tex]

[tex]d = \sqrt{240^2 + 120^2}[/tex]

[tex]d = 268[/tex]

360 - 268 = 92

He would travel 92 miles farther by  walking from his home to his friend's house and then from  his friend's house to work than he would travel by walking  from his home directly to work.

You can learn more about the Pythagorean Theorem at https://brainly.com/question/654982

apply the following rule to the point (-5,6): (x,y)-->(y,-x)

Answers

Answer:

(6, 5) will be the point after the rule is applied

The required translation as of the given condition is (6, 5).

Given that,
To apply the following rule to the point (-5,6): (x,y)-->(y, -x).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

What is a translation of a point?

Translation of a point is defined as changing the location of the point on an arbitrary space with the help of any function and instructions.

Here,
In the question, a rule is mentioned for the transposition of the coordinates,
(x,y)-->(y,-x)
we just need to simply poor the coordinate in the given translation equation,
(-5, 6) - - -> (6, -(-5))
(-5, 6) - - -> (6, 5)

Thus, the required translation as of the given condition is (6, 5).

Learn more about translation here:
https://brainly.com/question/12463306
#SPJ6

The ratio of boys to girls that went to great American on the 8th grade trip was 3 to 5 period if there were 320 students that went to great American, how many were girls??​

Answers

Answer:

90

Step-by-step explanation:

you put 90

which expression has a value of 50

Answers

Answer:

b

Step-by-step explanation:

(50 +10) / ( 5+5)

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