A store ships books by weight a small box can hold 4 to 6 pounds while a large box can hold 8 to 9 pounds how much can each box hold

Small box= 4 to 6 lbs
Large box= 8 to 9 lbs
Book weights large 3.1 lbs
Small 2.4 lbs

Answer:

(1) let pen = x

let pencil= y

i) y ≤ 5x

ii) 5x + 2y ≤ 40

Step-by-step explanation:

at most = maximum

Answer:

x=13

z=79

Step-by-step explanation:

The angles given are supplementary. This means that when added their sum will be 180. So add the 2 expressions together and set them equal to 180.

Then, you have to find z. The angle z is congruent to the angle with the measure (8x-25). This is because they are vertical angles, and therefore congruent. So, plug 13 into the expression, 8(13)-25=79 degrees. Since that angle equals 79, z must also equal 79.

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The total weight of the mini bus and its load is 4960 kg.

In mathematics, we use various concepts and formulas to solve different types of problems. One such concept is that of weight and mass. In this problem, we will be using the concept of weight to find the total weight of a mini bus when it is loaded with bags of kolanut.

Weight is the measure of the force exerted on an object due to gravity. It is usually measured in Newtons (N) or pounds (lb) in the English system. In this problem, the weight of the mini bus and its load can be found by adding the weight of the empty mini bus to the weight of the bags of kolanut it carries.

Firstly, we are given that the mini bus weighs 0.875 ton when it is empty. However, we need to convert this weight to kilograms as the weight of the bags of kolanut is given in kilograms.

To convert tons to kilograms, we can use the following formula:

1 ton = 1000 kg

Weight of empty mini bus

= 0.875 ton x 1000 kg/ton

= 875 kg

Weight of bags of kolanut

= 43 bags x 95 kg/bag

= 4085 kg

Total weight of mini bus and load

= weight of empty mini bus + weight of bags of kolanut

= 875 kg + 4085 kg

= 4960 kg

Therefore, the total weight of the mini bus and its load is 4960 kg.

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The point-slope form of the line is y - (3/4) = 5(x - (3/4)).

The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.

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This is because

This is found through trial and error.

This is for problem 1 only. Problems 2 through 6 will follow a similar structure.

Answer:

picture?

Step-by-step explanation:

Answer:

1,240 square centimeters

Answer:

1/6

3/10

1 7/8

1 6/7

1 5/9

should be anyway

Raphael could finish the job in 3/2 hr = 90 min. Matilde could finish the job in 3 hr.

Let M denote for matilde

R for Raphael.

I assume they worked on the task together to finish it in 1 hr.

M does 1/M of the job per hr.

R does 1/R of the job per hr.

(1/M + 1/R) * x hr = 1 whole job completed

We are told x = 1 hr, so that's done.

We are told M's rate of work is 1/2 of R's

R's rate of work is 1/R

1/2 * 1/R = 1/2R

substitute 1/2R for 1/M

(1/2R + 1/R) * 1 hr = 1 whole job completed

solve

(R+ 2R)/ 2R^2 = 1

3R /2R^2 = 1

3R = 2R^2

2R^2 -3R = 0

R(2R-3) = 0

R = 0 or 2R = 3

However, if R could do the work in 0 hours, then his rate of work would be undefined.

Therefore, we select 2R = 3, which means R= 3/2.

R can do the whole job in 3/2 hr working alone.

M can do the whole job in 2*3/2 = 3 hr working alone.

We can check this solution to be sure it is correct.

In 1 hr, R can do 2/3 of the job.

In 1 hr, M can do 1/3 of the job

2/3+1/3 = 1.

We also can substitute in the original equation as double-check.

(1/3 + 1/(3/2))*1 = 1 ??

(1/3 + 2/3) = 1

Answer: R could finish the job in 3/2 hr = 90 min. M could finish the job in 3 hr.

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Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

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Answer:

56

Step-by-step explanation:

Because w and 124 make a straight line. So you would need to subtract 180 from 124

Answer:

A )56

Step-by-step explanation:

Answer:

3-(-5)

Step-by-step explanation:

The distance between these two points is 8. And this is the only answer that acheives this sum.

Answer:

|-5 - 3|

|3 -(-5)|

Step-by-step explanation:

Answer:sorry can't do

Step-by-step explanation:

Answer:

Sorry I don't know I.m class6

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5

180 - 110 = 70

70 - 30 = 40

40 / 8 = 5

x = 5

Answer:

Step-by-step explanation:

8. ============

Given

The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p

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

9. ============

Given function

The minimum point is reached at vertex

The vertex is:

The corresponding y-coordinate is:

So the point is:

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

10. ============

Given function

The maximum is reached at vertex

The vertex is:

The corresponding y-coordinate is:

So the maximum point is:

Answer:

B

Step-by-step explanation:

vertical angles from two parallel lines and a transverse line

Answer:

\( x =63^o\)

Step-by-step explanation:

Given :-

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

\(\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o \)

Hence the value of x is 63° .

Answer:

625

Step-by-step explanation:

625 I believe. If u do -5(-5) that’s 25 bc there’s four -5’s you will be left with 25(25) with is 625

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Answer:

c and d

Step-by-step explanation:

read it

Answer: C and D

Step-by-step explanation:

The soccer team can have 1,716 different starting lineups. The number of ways to choose 1 player out of 13 for the goalkeeper position is given by the combination formula: C(13, 1) = 13.

To calculate the number of different starting lineups, we need to determine the combinations of players that can be chosen for the starting lineup. Since there are 13 players on the team and 11 positions in the starting lineup, we need to choose 1 player for the goalkeeper position and 10 players for the regular positions. Similarly, the number of ways to choose 10 players out of the remaining 12 players for the regular positions is given by the combination formula:

C(12, 10) = 66.

To find the total number of different starting lineups, we multiply the number of choices for the goalkeeper position by the number of choices for the regular positions: 13 * 66 = 858.

However, the order of the players in the lineup doesn't matter, so we need to divide the result by the number of permutations of the 10 regular players: 858 / 10! = 1716. The soccer team can have 1,716 different starting lineups.

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Answer:

\(84.13^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle y+m\angle z=84.13^{\circ}\).

Answer:

Step-by-step explanation:

USE THE EXTERIOR ANGLE THEROME!
FIRST

THE FOMULA

a+b=c

y+z=x

now we have to add y and z

45.43 + 38.7

which gives us 84.13!

The angle with sides 5, 9 and 10 is an obtuse triangle

This is a type of angle in which the angles are less than 180 degrees but less than 180 degrees.

In this case, we can easily determine if it's an obtuse angle.

Assuming the longest side is 10 units, the sum of it's two other sides must be greater than it's longest side which is supposedly the hypothenuse.

5 + 9 = 14

14 > 10

This indicates that the triangle is an obtuse triangle.

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The value of x is 5.

Given that, m∠VUT = 175° , m∠VUJ = 17x-3 and m∠JUT = 17x+8.

The angle where two rays meet is represented as vertex.

Each and every vertex , where two rays meet have some angle between them.

The symbol that represents angle is, “∠”.

Here, you can deal with the angle and find the value of x by just equating the given equations upon the given angle m∠VUT = 175° .

we get,

m∠VUT = m∠VUJ + m∠JUT

175       = 17x-3  +  17x+8

 175      = 34x + 5

175-5     = 34x

 170      = 34x

 170/34 = x

      x = 5.

Therefore, the  value of x is 5.

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Answer:

2.57 square meters

Step-by-step explanation:

r = Radius of circle

Area of shaded region = Area of semi-circle:

\(= \frac{1}{2}(\pi r^{2})\)

= \(\frac{\pi}{2} r^{2}\)

= \(\frac{\pi }{2} (1.28m)^{2}\)

= 2.57 \(m^{2}\) (Rounded to 2 decimal places)

Answer:

Equations:

a + b = 19

a = b + 2

a = Money that spent Laura

b = Money that spent Laureen

then:

(b+2) + b = 19

2b + 2 = 19

2b = 19-2

2b = 17

b = 17/2

b = 8.5

a = b + 2

a = 8.5 + 2

a = 10.5

Check:

10.5 + 8.5 = 19

Answer:false

Step-by-step explanation: