A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?

Answers

Answer 1

Answer:

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Step-by-step explanation:

Let,

x be the pounds of oatmeal used

y be the pounds of crispies used

z be the pounds of chocolate

According to given statement;

1.50x+2.00y+1.00z = 17.00     Eqn 1

x+y+z = 11      Eqn 2

x = 2y   Eqn 3

Putting x=2y in Eqn 2

2y+y+z = 11

3y+z = 11     Eqn 4

From Eqn 4

z = 11 - 3y    Eqn 5

Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1

1.50(2y) + 2.00y + 1(11-3y) = 17.00

3y+2y+11-3y=17

[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]

Putting y = 3 in Eqn 3

x= 2(3)

x= 6

Putting in Eqn 2

6 + 3 + z = 11

z = 11-9

z= 2

Hence,

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.


Related Questions

if a tables f(x) is being divided by 3, what is the common ratio

Answers

1/3 is the correct answer

What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D

Answers

Answer:

807.21

Step-by-step explanation:

for the 1 % decrease

1/100 × 784 = 7.84

784 - 7.84 = 776.16

then 4% increase

4/100 × 776.16 = 31.0464

776.16 + 31.0464= 807.2064

in 2 Decimal places

807.21

Answer:890

Step-by-step explanation:

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the​ flag's width and length if the length is 290 ft greater than the width.

Answers

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

l=710

Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0

Answers

Answer:

9.0, 9.012, 9.201, 9.210

Step-by-step explanation:

9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.

9.0 , 9.012 , 9.201 , and greatest is 9.210 hope this helps

Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save $30 each month for 12 months. Which of the following shows that Wesley will save enough money for his vacation? Choose all that apply.

Answers

Answer:

i cant choose any that applies to this question because there is no picture added to it and there are no choices to choose from. If i were to solve it though, it would be; yes, he will save enough money for his vacation.

Step-by-step explanation:

I know he would have enough--and in this case more than enough, because since he's planning to save $30 for a whole year just for $50, when he could simply make $60--which is in fact more than needed for his goal-- in just 2 months. If he were to stick with his plan though, he'd make $360. I got that by multiplying 30 by 12.

first come first serve 25 points answer whatever first will get brainlyiest

Answers

Answer:

yo

Step-by-step explanation:

yo

Answer:

thanks dude

Step-by-step explanation:

:)

A train travels at a speed of 35 miles per hour. How far will the train travel in 5 hours?

This is Math

Answers

Answer:

175 miles

Step-by-step explanation:

35 times 5 = 175

Answer: 175

Explanation: 35x5=175

I WILL GIVE YOU BRAINLY PLSS


Which of the following is in the solution set (would appear in the shaded region of
the graph) for the inequality + 7 > 9?
A. 6
B. -6
C. -4
D. 2


SHOW YOUR WORK PLSS

Answers

Answer:

the answer Is D.2

Step-by-step explanation:

9 is greater than 7 by 2

So I took that in a test and I think the answer would be A

Write an equation and solve. Round to the nearest hundredth where necessary.

What is 25% of 96?


A.) n • 0.25 = 96; 384

B.) n = 0.25 • 96; 24

C.) n = 25 • 0.96; 24

D.) n = 25 • 96; 2400

Answers

Answer:

see explanation

Step-by-step explanation:

I think its c n=25. 0.96; 24

what is the chemical formula of water.​

Answers

Answer:

Guess its H2

Step-by-step explanation:

prove me wrong

Answer: H2O is the answer

19) Find the acros F(x) = x4 + 8x? -​

Answers

Answer:

F'(x)=4x3+16x

Step-by-step explanation:

Evaluate the function:

f(x)=x2−x, find f(−10)

Answers

= (-10)^2 - -10
= 100 + 10
= 110

Can some people of brainly do this stuff for my little cousin i dont know what i'm doing.

Answers

Answer:

21=1 x 21

21=3 x 7

Step-by-step explanation:

pls mark brainliest to help rank :)

1) 1

2) 7

i hope you understand

if cube has total surface area 150cm sweet, find the volume of the cube

Answers

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful

Multiply 2x(x^2-x+3)

Answers

Answer:

2x^3-2x^2+6x

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

2x^3-2x^2+3

don't know if it's correct

Solve for sss:
-0.2=s+\left(-0.8\right)−0.2=s+(−0.8)

Answers

Answer:

S =0.6

Step-by-step explanation:

-0.2 = s + (-0.8)

-Add 0.8 to each side

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

360

Step-by-step explanation:

hope this helps.

Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.


11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x

Answers

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o

Answers

Answer:

The third graph

Step-by-step explanation:

The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.

A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h

Step-by-step explanation:

System of Equations

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

[tex]\displaystyle B-S=\frac{172}{3}[/tex]

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]

From [2]:

[tex]B = 93 - \frac{107}{6}[/tex]

[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]

the product (2x^4 y) (3x^5 y^8) is equivalent to:

Answers

Answer:

please mark me brainliest and follow me my friend.

please help im not that good during this online

Answers

Answer:

The angle is 50 degrees.

     

help me plz its about algebra 1

Answers

A

Subtract 32 from both sides first, then divide both sides by 9/5

simplify and show your work 8÷(10−9) 3 ×7+4 2

Answers

4 2? give the exact question lol

PL EA S E H E L P M E! !

Answers

the answer is c ................

A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20

Answers

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

Solve the equation: 2 (x + 2x) - 36
A) X=-18
B) x = 18
cx = -6
D) x = 6

Answers

Answer:[tex]\boxed{x=6}[/tex]Solution Steps:

______________________________

1.) Divide both sides by 2:[tex]2[/tex] ÷ [tex]2=[/tex] Cancels Out[tex]36[/tex] ÷ [tex]2=18[/tex]

 - We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis.

Equation at the end of Step 1:

[tex]x+2x=18[/tex]

2.) Combine x and 2x:[tex]x+2x=3x[/tex]

 - We do this because we can't have 2 variables at the end of the equation so it's best to just combine them.

Equation at the end of Step 2:

[tex]3x=18[/tex]3.) Divide both sides by 3:[tex]3x[/tex] ÷ [tex]3=x[/tex][tex]18[/tex] ÷ [tex]3=6[/tex]

 - We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal.

______________________________

y = 7x-6
what is the y-intercept?

Answers

Answer:

This is in slope intercept form

y = mx + b

m is the slope b is the .y intercept so the y intercept is -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We know this because the equation is y=mx+b. M represents the slope and b represents the y-intercept. In this case, -6 is in the y-intercept’s place. Therefore, we know that -6 is the y-intercept.

Please help ill brainlist 15

Answers

It would be A. Point k had a positive x-coordinate (and y)

Hope this helps

Have a great day/night

Answer:

point K is reflected across the y-axis to create point K'

solve for x each figure is a parallelogram

Answers

Answer:

[tex]18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}[/tex]

7 is the right answer.
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