1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zaharov [31]
3 years ago
12

A health food company packs almond butter in jars. Some jars hold 250 g. Other jars hold 500 g. On Tuesday, the company packed 1

86.5 kg of almond butter in 511 jars. How many jars of each size did they pack?
Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

Number of 250 g jars packed that day = 276

Number of 500 g jars packed that day = 235

Step-by-step explanation:

Let the company packs x jars of 250 g and y jars of 500 g

Total number of jars packed by the health food company = 511

⇒ x + y = 511

⇒ x = 511 - y ......(1)

Now, quantity of almond packed in 511 jars = 186.5 Kg

1 Kg = 1000 g

⇒ 186.5 Kg = 186500 g

⇒ 250x + 500y = 186500

Putting value of x from equation (1) in the above equation formed.

⇒ 250(511 - y) + 500y = 186500

⇒ 127750 + 250y = 186500

⇒ 250y = 58750

⇒ y = 235

Putting this value in equation (1) ,

x = 511 - 235

⇒ x = 276

Hence, number of 250g jars packed that day = 276

Number of 500 g jars packed that day = 235

MArishka [77]3 years ago
5 0
Let the number of 250g=0.25  kg jars be x and that of 500g=0.5 kg jams be y;
therefore:
total number of jars ws
x+y=511
x=511-y..........i

total mount kgs was:
0.25x+0.5y=186.5....ii
substituting i in ii
0.25(511-y)+0.5y=186.5
127.75-0.25y+0.5y=186.5
solving for y we get:
0.25y=186.5-127.75
0.25y=58.75
y=58.75/0.25
y=235 jars
and 
x=511-x
=511-235
=276
hence we conclude that there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds
You might be interested in
Molly wants to pursue a graduate degree at New University but is unsure whether to specialize in law or medicine. To help her de
Mashutka [201]

Answer:

Molly's Z score for LSAT

z-score=-2

Molly's Z score for MCAT

z-score=2

Step-by-step explanation:

z-score for LSAT

Molly's score=120

mean=150

Standard deviation=15

z-score= (Molly LSAT score-mean)/standard deviation

z=120-150/15=-30/15=-2

z-score for MCAT

Molly's score=52

mean=40

Standard deviation=6

z-score= (Molly MCAT score-mean)/standard deviation

z=52-40/6=12/6=2

3 0
2 years ago
How to write unit form for (2 tens 1 one) x 10
poizon [28]
Numbers are arranged by their place values. Place values give a quantity of value to a certain digit in a number. Given a number, the rightmost number is the ones place, followed by the tens place, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions, as so on and so forth. The place value of a certain digit is 10 times bigger than its adjacent digit to the right.

So for this problem, all you have to do is multiply the number of units of each place value, then multiple them all by 10.

(2(10) + 1(1))×10
21 × 10 = 210

Therefore, the number is equivalent and written as 210.
3 0
3 years ago
Solve the system of nonlinear equations: <br><br> 4x - y = 4<br> x^2 - y = -1
rjkz [21]
(x1, y1) = (3,8)
(x2, y2) = (1,0)
6 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava
ryzh [129]

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

5 0
3 years ago
Other questions:
  • S.O.S HOW DO I DO THESE PROBLEMS??!
    12·1 answer
  • What is the length of the patio?
    11·1 answer
  • Which function and domain could represent the given graph?
    12·2 answers
  • 20. What should be the top item on a list of your life goals?
    13·1 answer
  • What is 3 1/4 x 1 1/2 x 9?
    15·1 answer
  • How long does it take for a bicyclist to travel 90 miles at the rate of 18 miles per hour
    10·2 answers
  • 2 x + 5 = 10<br><br> what is x =?
    12·2 answers
  • what are the length and width of a rectangular traffic sign if the length exceeds the width by 24 inches and the perimeter by 12
    5·1 answer
  • If all of the pieces of candy were lined up end to end, what would be the total length of candies? 1/8in, 2/8in, 3/8in, 4/8in ,
    9·1 answer
  • What is the answer to this (in attached photo)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!