A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a total weight of 209 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 86 kilograms. How much does each type of box weigh?

Answers

Answer 1
Answer: (s for small, l for large) s=15.25 kg, l=18.5 kg.


Explanation: We need a system of equation to find the two weights of both boxes.
We can use 4s+8l=209 and 2s+3l=86.

If we multiply the second equation by -2 (for elimination), we will have -4s-6l=-172.

Combing the first equation with this new one gives us 2l=37, where dividing by 2 gives us l=18.5 kg.

We can plug 18.5 into any of the two original equations to find s.

4s+8*18.5=209
4s+148=209
4s=61
s=15.25 kg

Related Questions

the product of two consecutive odd number is 143 find the number​

Answers

Step-by-step explanation:

It would be 11 x 13, because 11 x 13 = 143.

Check: 11 and 13 are both consecutive odd numbers.

Check: 11 x 13 = 143.

Answer:

11 x 13

Step-by-step explanation:

You just sort of have to tinker around! That will help you gauge the range of the answer and eventually find it!

Hope that helps!

Please advise, much appreciated.

Answers

it’s the 1st one have a very very very good day

Find the slope of the line passing through points (-1, -7) and (-9, -2).

Answers

Answer:

-5/8

Step-by-step explanation:

The line goes down 5 for every 8 spaces to the right.

Answer: -5/8 is the slope or m

Step-by-step explanation:that is an algebra calculator that can help you :)

1. What is the volume of the cylinder below? Round
to the nearest tenth.
10 in.
30 in.

Answers

What are you rounding to?

⚠️Plz help!⚠️

At 8:00 AM, the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?

Answers

Answer:

3 degrees.

Step-by-step explanation:

-6 + 9 is 3, giving you were answer.

Answer: 3 degrees F

Step-by-step explanation:

-6+9=3

rise=positive or +

according to the graph, what is the value of the constant in the equation below?

Answers

Answer:

20

Step-by-step explanation:

The given curve is the rectangular hyperbola

xy = constant

Constant = xy = 4*5 =20

or

constant = xy = 5*4 = 20

or

Constant = xy = 10*2 = 20

HELP WILL GIVE BRAINLIEST!! AND 75 POINTS

Answers

Answer:

4 equation 4

Step-by-step explanation:

did math in head

Answer:

Equation 4.

Step-by-step explanation:

2+6=8

2 times 2+4=8

3 times 2+2=8

5 times 2-4=6

The 6 is different.

does anyone know the area and the perimeter of this??​

Answers

Answer:

Area=15in²

Perimeter=16in

Step-by-step explanation:

area=L×W

Perimeter=L+L+W+W

Answer:

Your answer is

Area  =  ( 5 * 3) = 15 inch ^2

Perimeter = 2(5+3) = 16 inch

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

I need help fast! What is the square root of 9x^12? And 18x^7? And 25x^18 y^14? And 50x^9 y^19? Sorry I know it's a lot but I need it quick!

Answers

Answer:

Answer:

The principal, real, root of:

9–√2

=3

All roots:

3

−3

9 is a perfect square

Answer:

The principal, real, root of:

25−−√2

=5

All roots:

5

−5

25 is a perfect square

Step-by-step explanation:

the first one is for the 9 and the second one is for the 50

Use the distributive property to remove the parentheses

-4 (3u-2w-4) Pls help!

Answers

Answer:

-12u+8w+16

Step-by-step explanation:

to get rid of the parenthesis you multiply everything that is inside of the parenthesis by -4

-4x3u=-12u

-4x-2w=8w

-4x-4=16

then we just add everything together and end with

-12u+8w+16

hope this helps (;

Graph the inequality x>2
on the number line.
+
-2
+
-1
+
0
+
1
+
2.
+
3
+
7
+
8
4
5
9
10

Answers

Answer:

no problem :) have a nice day

Step-by-step explanation:

6.
Which equation best describes the graph?

y = 2x + 4

y = –2x + 4

y = 2x – 4

y = –2x – 4

Answers

Answer:

y=-2x-4

Step-by-step explanation:

The slope has a Y-intercept at the -4, which narrows the choices down to 2. Since the slope is leaning left, it's a negative, which will make the answer to this y=-2x-4

Answer:

i don't know

Step-by-step explanation:

Given the two points write the equation for the line in slope intercept
form!
(5,3) and (-1,5)

Answers

I think it is Y equals -1/3x +4.6
ANSWER: y=-1/3x+14/3
Comment below if you want an explanation on why!

The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minutes to gallons is 6 to 1 is Carlota correct

Answers

Answer:

Carlota is not correct

Step-by-step explanation:

A ratio represents relationship between of two or more things.

Ratio of minutes to gallons of water flowing through a garden hose [tex]=2:12[/tex]

Here,

[tex]2:12=1:6[/tex]

Also,

It's given that an equivalent ratio of minutes to gallons is [tex]6:1[/tex]

Now,

[tex]1:6\neq 6:1[/tex]

Therefore,

Carlota is not correct

Joe ordered an 18 inch pizza with pineapple and ham on it from Mr. T's Famous Chicago Style Pizzeria. The pizza was cut into 6 slices. Joe ate only two slices and decided he didn't like the famous pizza and discarded the rest. How many square inches of pizza did he throw away? Use 3.14 for pi. Round to the nearest tenth of a square inch.

Answers

Answer:

[tex]A_4 = 170\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Diameter = 18\ in[/tex]

[tex]Slices = 6[/tex]

[tex]Eaten = 2[/tex]

Required

Determine the area of the discarded part

First, calculate the area of the pizza.

[tex]Area = \frac{\pi D^2}{4}[/tex]

Substitute 18 for D and 3.14 for [tex]\pi[/tex]

[tex]Area = \frac{3.14 *18^2}{4}[/tex]

[tex]Area = \frac{1017.36}{4}[/tex]

[tex]Area = 254.34[/tex]

If he eats 2 out of the 6 slices, then it means he discarded 4 out of the 6.

So, the area of the 4 is:

[tex]A_4 =\frac{4}{6} * Area[/tex]

[tex]A_4 =\frac{4}{6} * 254.34[/tex]

[tex]A_4 =\frac{4* 254.34}{6}[/tex]

[tex]A_4 =\frac{1017.36}{6}[/tex]

[tex]A_4 =169.56in^2[/tex]

[tex]A_4 = 170\ in^2[/tex] -- approximated

The area of the discarded is 170 square inches

What is the y-intercept on the equation:
y = 5x + 8

Answers

Answer:

y=8

Step-by-step explanation:

Estimate. About how many groups of 25 are in 95?
How do you know?​

Answers

Answer:

75 is 3, groups

Step-by-step explanation:

Try counting by qurter

Match the vocab word with the correct definition.

1. slope-intercept form
parts of expressions and equations separated by operation symbols and/or equal signs
2. sequence
the steepness of a line; rise over run, change in y over the change in x
3. term
y = mx + b form of a linear equation where m is the slope of the line and b is its y-intercept
4. slope
a list of numbers
5. undefined slope
the slope of a vertical line because the change in the x-values, the denominator, is zero

Answers

Answer:

slope-intercept form:

y = mx + b form of a linear equation where m is the slope of the line and b is its y-intercept

sequence

a list of numbers

term:

parts of expressions and equations separated by operation symbols and/or equal signs

slope:

the steepness of a line; rise over run, change in y over the change in x

undefined slope

the slope of a vertical line because the change in the x-values, the denominator, is zero

Step-by-step explanation:

51=3k

but what is k?

tysm for everyone helping me:)

Answers

Answer:

17

Step-by-step explanation:

51÷3 = 17

k=17

not sure what else to add but my answer had to be longer

The coordinates of the point F are (-2,-8) and the coordinates of point G are (10,-8). What is the distance, in units, between the point F and point G?

Please help me! Thanks!

Answers

Answer:

12 units

Step-by-step explanation:

notice that the y coordinate (-8) is the same for both points. you can ignore it and just look at the x coordinates. To calculate the distance, you use point a minus point b, so in this case it is 10-(-2). two negatives make positive, so the answer is 12 units.

The quotient of ten times a number and 7

Answers

Answer:

[tex]\frac{10x}{7}[/tex]

Step-by-step explanation:

The quotient is the answer of a division problem. So, we get

[tex]\frac{10x}{7}[/tex]

Isaac Newton’s Theory of Gravitation proved that gravity behaves as a rational function, which
can be modeled as:
g = μ/r^2
Where g is the strength of gravity in m/s^2, μ is the “standard gravitational parameter,” which is
3.986*10^14 for Earth, and r is the radial distance from the center of the planet measured in
meters. Earth has a radius of 6378 km.

Answers

Answer:

Step-by-step explanation:

whats the question

Answer:

wheres the question?? huhh

Change 9 1/3 to an improper fraction

Answers

Answer:

10/3

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:


The expression c +0.08c can be used to find the total cost of an item with 8% sales tax.
Use the expression to find the total cost of an item that costs $20.
A
$36.00
B
$1.60
c
$16.00
D
$21.60

Answers

Answer:

its d

Step-by-step explanation:

8% of 20 is 1.6 so 20 + 1.6

simplify –4(5x) plz (don't mind this)

Answers

Answer:

-20x

Step-by-step explanation:

remove parentheses: -4*5x

multiply the numbers: -4*5x

answer: -20x

A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?

Answers

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = [tex]\frac{1}{4}[/tex]×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ [tex]\frac{1}{4}[/tex]×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = [tex]\frac{2.4}{3}[/tex] = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

loll pls help i have 5 more of these srry :(

Answers

[tex]tan = \frac{opp}{adj} = \frac{x}{24} [/tex]

[tex] \tan(62) = \frac{x}{24} [/tex]

[tex]x = 24 \tan(62) [/tex]

[tex]x = 45.1374351683[/tex]

[tex]x = 45.14[/tex]

I need help ASAP plzz

Answers

Answer:

oh i is this 6th grade math im in 5th sorry

Step-by-step explanation:

Answer:

ROC=4

Step-by-step explanation:

ROC=change in y/change in x

=ROC=8/2=4

1) Which value is a solution of the inequality Ży > 8?
1
8
16
24
32

Answers

Answer:

32

Step-by-step explanation:

1/4y is greater than or equal to 8.

Plug 32 in the y place.

1/4(32) is greater than or equal to 8.

8 is greater than or equal to 8. Since the inequality sign has the equal sign too, this makes the sentence true. Hope this helps, thank you !!

Multiply!!
please helps thanks

Answers

Answer:

9/4

Step-by-step explanation:

you can use photomath for questions like these :P

Answer:

2 1/4

Step-by-step explanation:

3/4 x 3 = 9/4 = 2 1/4

Hope that helps!

Other Questions
If 1 cm = 200 meters, how many meters is 4.2 cm would someone help me with this please, also please give an answer and not just a fake one. The ............ of cross-country skiing is that it can serve as a means of transport whenpeople are snowed inA meritB habit Las clases de la escuela son __________ pero no me gustan. Rewrite the following equation in slope-intercept form.16x + 10y = 15 plz help Explain ONE way in which Malis wealth contributed to the expansion of its government during the period c. 1200-c. 1450. Identify three ways you can group customers into market segments? 9 of 169.A student drops a ball from 5 feet above the ground. After bouncing once, it only reachesa maximum height of 4 feet above the ground.Use energy terms to explain why the ball did not reach its original height after bouncingonce.A. Some energy was lostB. Some energy was transferred to the floor and airC. Some energy disappeared when it hit the floorD. Some energy was destroyed At a used bookstore, Cindybought 2 paperback books for $1.75 and some childrens books for $0.75 each, including tax. She spent a total of $5.75. How many childrens books did Cindybuy? Which is a feature of a cladogram?A The characteristics must be shared among the organisms. B The characteristics must be different among the organisms. C It must contain at least three different shared characteristics. D It must contain at least three different groups of organisms. Does the graph shown below represents Y as a linear function of X? Please help :) (1 - 3i)(2 - 2i)Need answer and steps 444. IU5. Which number is most significant? 456.2, 459. 456.222 )(2 Points)459456.2456.222 does anyone know how to do this? SE TIENE UNA PARED PARA ENCHAPAR DE 5 METROS DE BASE X 2 METRS DE ALTURA , Y LOS BALDOSINES PARA ENCHAPAR TIENE 25CM DE ALTURA Y 10 CM DE BASE CUANTOS BALDOSINES SE NESECITARAN PARA ENCHAPAR LA PARED Gene expression is influenced by many factors. Which of the following is a factor in geneexpression? Find and name four islands that are part of Canada. Question 5 of 20Which opinion can be drawn from the facts in paragraph 6?Click to view the passage, "Over the Edge."A. The writer's gym teacher is a helpful person.B. The writer's second exercise program is worse than the first.C. The first program took up too much of the writer's time.D. The most common problem with exercising is overtraining. Given that 1 inch = 2.54 cm enter the value that will complete this expression for converting 3.5 feet to cm 2Sarah works for a maximum of 40 hours per week. She needs to make at least $400 in order to cover her expenses. Her office job pays$12 per hour and her babysitting job pays $10 per hour.Which system of inequalities can be used to determine the number of hours she should spend working in office (x) and the number ofhours she should spend babysitting (/) to cover her expenses?