A grocery store sells a store-made brand of raisin bran in bulk (by the pound). The store sells this mixture for $3.14 per pound. When the store mixes its raisin bran, the employees use raisins that are $4.50 per pound and bran flakes that are $2.80 per pound. If the store makes 50 pounds of raisin bran, how many pounds or raisins and bran flakes does the store need?

Answers

Answer 1

Answer: quantity of raisins = 10 pounds, quantity of bran flakes = 40pounds.

Step-by-step explanation:

Let r= quantity of raisins, b = quantity of bran flakes.

As per given,

r+b=50         (i)

4.50r + 2.80b= 3.14(50)

⇒4.50r + 2.80b=157        (ii)

Multiply (i) by 2.80, we get

2.80r+2.80b=140     (iii)

Now, subtract  (iii) from (ii), we get

1.7r = 17

⇒ r= 10

Put this in (1), we get

[tex]10+b=50\Rightarrow\ b= 40[/tex]

Hence, quantity of raisins = 10 pounds, quantity of bran flakes = 40pounds.


Related Questions

What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic?

Answers

Developing a research topic is difficult when your trying to make sure it ties in all the information you need to prove your points and give reasoning. Now I am going to use things like narrowing down my topic and trying to come up with a thesis to begin developing my topic since I can always go back and fix or reword it.

Answer:

Developing a research topic is difficult when your trying to make sure it ties in all the information you need to prove your points and give reasoning

Step-by-step explanation:

Please help It’s almost sue ty!!❤️

Answers

Answer:

Thats all answers

By 8

40 = 5  

56 = 7  

9 = 72

11 = 88

16 = 128

144 = 18

168 = 21

By 6

24 = 6

5 = 30

42 = 7

48 = 8

9 = 54

60 = 10

11 = 66

I need help finding x if anyone can help

Answers

Answer:it's right there next to the 6.

Step-by-step explanation:

Answer:

I am assuming that is an equilateral triangle; if it is it would be

15

Step-by-step explanation:

?×81/2=1
what does ? equal

Answers

Answer:

2/81

Step-by-step explanation:

let ? be A,

A×81/2=1

A=1×2/81

A=2/81

4 bananas cost $2.40. At this rate, how much do 6 bananas cost?

Answers

Answer:

3.60 for 6 nanasaaaaaa



El diámetro de una bacteria de tamaño intermedio es de unos 0,003 mm, pero los

virus son todavía más pequeños; por ejemplo, el de la poliomielitis mide 0,000 015mm

de diámetro. Determina la diferencia, en milímetros, entre el diámetro del virus de la

polio y el de una bacteria común. Expresa en notación científica.​

Answers

Answer The value of the difference in millimeters between the diameter of the virus of   polio and a common bacterium, expressed in scientific notation is: 2.985 * 10.03 mm.

 The difference , in millimeters , between the diameter of the polio virus and that of a common bacterium is calculated by subtracting the two diameter values ​​from the largest minus the smallest as follows:

  Intermediate diameter of a common bacteria = 0.003 mm

  Poliomyelitis virus diameter = 0.000015 mm

  Difference =? mm in scientific notation

      Difference = 0.003 mm - 0.000015 mm = 0.002985 mm

     At the express the result in scientific notation is:

      0.002985 mm = 2.985 * 10-3 mm.

What is the factorization of the polynomial below?
16x^2-9

Answers

Answer:

(4x+3) × (4x−3)

Step-by-step explanation:

The explanation is on the screenshot if you need it

The resulting simplified form of the expression is  (4x +3)(4x-3)

Given the polynomial equation 16x^2-9

This can be expressed as the square of monomials as shown:

16x^2 = (4 * 4 * x * x)

16x^2 = (4x)^2

Similarly, 9 = 3^2

Substituting into the expression, we will have:

16x^2-9 = (4x)^2 - 3^2

According to difference of two square a^2 - b^2 = (a+b)(a-b)

(4x)^2 - 3^2 = (4x +3)(4x-3)

Hence the resulting simplified form of the expression is  (4x +3)(4x-3)

Learn more here: https://brainly.com/question/15681119

how many solutions does the following equation have ?

Answers

Answer:

infinely many solutions

Step-by-step explanation:

it is the same so there is infinite solutions

Plz mark brainlist

Answer:

Infinitely many solutions

Step-by-step explanation:

Original Equation:

-9(z + 8) = -9z - 72

Use distributive property.

-9 x z = -9z

-9 x 8 = -72

-9z - 72 = -9z - 72

That means there are infinte solutions.

Hope I helped :)

Please consider Brainliest :)

Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.

Answers

Answer:

No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87

Step-by-step explanation:

2. What is the distance between the points F(-3,8) and G(4,5)? Show your work.​

Answers

Answer

58 units

Step-by-step explanation:

[tex] \rm{Let \: F( - 3 \:, 8) \longrightarrow \: (x1 \:, y1)}[/tex]

[tex] \rm{G(4 \: 5) \longrightarrow \: (x2 \: ,y2)}[/tex]

[tex] \underline{ \text{ \: Finding \: the \: distance} }: [/tex]

[tex] \boxed{ \rm{distance = \sqrt{ {(x1- x2)}^{2} + {(y1 - y2)}^{2} } }}[/tex]

⇢√ ( - 3 - 4 )² + ( 8 - 5 )²

⇢√( -7 )² + ( 3 )²

⇢ √ 49 + 9

⇢ √58 units

Hope I helped!

Best regards! :D

~TheAnimeGirl

write an inequality the graph below

Answers

Answer:

x [tex]\geq[/tex] -6 :)

Step-by-step explanation:

Drew has 2 cups .ashley has 6 cups .how many more cups does ashley have then drew use the number sentence

Answers

Answer: 4 more cups

Step-by-step explanation:

6 - 2 = 4

Ashley had 4 more cups than Drew because 6 minus 2 is 4.

Hope this helps!

Answer:

4

Step-by-step explanation:

6-2=4

Which of the following represents the slope of the line 2x-5y=10

Answers

Answer:

where're the options and the line??

Step-by-step explanation:

HELP PLZ!!!!!!
For Crown

Answers

Ok I'm sorry. I was never good at this but if I was I'll gladly help. I'm guessing I didn't earn a brainliest, did I? Idt so. Sorry I tried to help.

Answer:

15/4

4

15/4

Step-by-step explanation:

to isolate x you must divide 4/15 on both sides

to divide by fractions, multiply by the reciprocal.

the reciprocal of 4/15 is 15/4, so 15/4 is multiplied on both sides

A baseball stadium holds 20,000 people. If 3,650 people can be
seated in the bleachers, how many seats are available in the rest of the
stadium?

Answers

Answer:

16350

Step-by-step explanation:

A shirt is discounted by 20%. The discounted prices is $32. What was the original price of the shirt?

Answers

Answer:

160

Step-by-step explanation:

the original price of the shirt is

      [tex]\frac{32}{20}.100=160[/tex]

Solve the equation
(2x−3)²-14=2x(x−7)
Please help!!!!!! I need it now.

Answers

Answer:

x=−1−√112,−1+√112

Step-by-step explanation:

Move all terms to the left side and set equal to zero.

The ratio of Maggie's age now to her brother Steven's age now is 2:3. In ten years, the ratio of their ages will be 4:5. How old in Maggie now? Do not label years old in your answer.

Answers

Answer: Maggie is currently 10 years old.

====================================================

Explanation:

M = Maggie's age today

S = Steven's age today

The ratio of their current ages, specifically Maggie's age to Stevens age, is 2:3. So 2/3 = M/S

We can cross multiply to get 2S = 3M and divide both sides by 2 getting S = 3M/2 = 1.5M

So whatever Maggie's age is, we multiply by 1.5 to get Steven's age. This only applies to their current present day ages.

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

In 10 years, Maggie will be M+10 years old and Steven will be S+10 years old.

The ratio of their ages at this point in time is 4:5, so,

4/5 = (M+10)/(S+10)

4(S+10) = 5(M+10) ..... cross multiply

4S+40 = 5M+50

4S-5M = 50-40

4S-5M = 10

4(1.5M) - 5M = 10 .... plug in S = 1.5M

6M - 5M = 10

M = 10

Maggie is currently 10 years old.

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

Extra info:

Use the value of M to find S.

S = 1.5*M

S = 1.5*10

S = 15

So Steven is currently 15 years old.

The ratio of Maggie's current age to Steven's current age is M/S = 10/15 = 2/3 which turns into 2:3

In 10 years, Maggie will be M+10 = 10+10 = 20 and Steven will be S+10 = 15+10 = 25

The ratio of their ages now is (M+10)/(S+10) = 20/25 = 4/5 leading to the ratio 4:5

This confirms our answers.

Which choice correctly shows how to use partial products to find
250
×
15
?

A.
1
,
250
+
150
B.
2
,
500
+
150
C.
1
,
250
+
1
,
250
D.
1
,
250
+
2
,
500

Answers

Answer:

C is correct

Step-by-step explanation:

The distance a trucker travels on the highway at 65 mph can be modeled by the function f(x)=65x , where x is the time in hours and f(x) is the distance is miles. What are the domain and range of the function? The domain of the function is The range of the function is

Answers

Answer:

Step-by-step explanation:

The domain are the values of the input variables x that will make the function exist.

Given the function:

f(x) = 65x

Note that x is the time and time cannot be negative. Hence the domain of the function will be all positive real numbers. It is expressed according to the set notation:

DOMAIN: [0, ∞)

The range are the values of the output function f(x) that will make the function exist. Since the minimum value of x is 0, then

at x =0 , f(x) = 65(0)

f(x) = 0

The minimum value of f(x) = 0

Hence the range can also exist on all positive real number.

RANGE: [0, ∞)

Answer:[0, ∞)MAKE SURE TO PUT THE BRACKET AND THEN PARANTHESES OR YOU WILL GET IT WRONG LEARN FROM MY MISTAKE

please help this due at 3:00
x + y - 58 if x =9 and y = 3

Answers

Answer:

-46 :)

Step-by-step explanation:

9+3-58=-46

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[tex]9 + 3 - 58 = - 58 + 12 = - 46 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

A certain company designs and ships boxes of golf balls. Each box must weigh 540 grams. Write two absolute value expressions that represent the number of grams a box weighing g grams is away from the desired weight. Select all that apply. Multiple select question. cross out A) 540−||g|| cross out B) ||g||−540 cross out C) ||540−g|| cross out D) ||g+540|| cross out E) ||g−540||

Answers

Answer:

|540 - g|

|g - 540|

Step-by-step explanation:

Given that:

Weight of box = g

Desired weight = 540

Hence, to obtain the difference between the weight of the box and the desired weight ; the result could either be lesser or larger then desired weight ; However , since we do not know If it is lesser or higher, then we take the absolute value ; so that we always obtain a positive value.

The difference will thus be either ;

Weight of box - desired weight : |g - 540|

OR

deaired weight - weight of box : |540 - g|

Solve -8x+4 36.
O A. xs-4
O B. xs4
O c. x24
O D. X2-4

Answers

Answer:

D.

Step-by-step explanation:

hope it helps :) it equals to -4 and then flip the inequality sign.

Answer:

D

Step-by-step explanation:

Take 4 to the other side and it becomes -4

Then 36 - 4= 32

Divide through by -8 and you get -4

But the sign changes to "less than or equal to"

2.
Draw two polygons that are similar but could be mistaken for not being similar. Explain why they
are similar.

Answers

Answer:

A square and a diamond

Step-by-step explanation:

These two shapes could be mistaken as two different shapes, and they may look very different, but a diamond can be a square, just rotated by 45 degrees. Both of them can have 90 degree angles, and both of them have four sides, making them extremely similar. I hope this helps!

(Please help me) Given that y varies directly with x, and y=28 when x=7 what is y when x=52
A)13
B)208
C) 196

Answers

Answer:

The correct answer is B. 208

A mathematician threw a party. She told her guests, “I have a riddle for you. I have three daughters. The product of their ages is 72. The sum of their ages is the same as my house number. How old are my daughters?” The guests went outside to look at the house number. They thought for a few minutes, and then said, “This riddle can’t be solved!” The mathematician said, “Oh yes, I forgot to tell you the last clue. My youngest daughter prefers strawberry ice cream.” With this last clue, the guests could solve the riddle. How old are the mathematician’s daughters?

Answers

Answer:

108 years old

Step-by-step explanation:

first you divide 72 by 2 and you get 36

then you multiply 36 by 3 and you get 108 which is the answer

1. Solve:
4(4x + 4) = 3x +7

Answers

Step-by-step explanation:

4(4x+4) =3x+7

opening the bracket

16x+16=3x+7

collecting like terms

16x-3x=7-16

13x= -9

x= -9/13

Write a linear equation
(7,5) (10,4)

Answers

Answer:

y

=

1

3

x

+

22

3

Step-by-step explanation:

DUE SOON, PLEASE HELP !!

Answers

Answer:

How are we supposed to know.

HELPPPP HURRY I NEEED HELP

Answers

Answer:

y=[tex]\frac{-4}{5}[/tex]x+7

Step by Step Explanation:

Slope intercept form is y=mx+b

So to convert this to slope-intercept form, you would first need to move the x value to the other side of the equation through subtracting it on both sides. This would make the equation 10y = -8x +70

Next, you would divide both sides by 10 to get the y integer alone. This would make the equation y=[tex]\frac{-8}{10}[/tex]x + 7

Lastly, just simply that fraction before the x integer, and you get your answer!

Hope this helps!

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