A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 164 kilograms. How much does each type of box weigh?

Based on the fact that there are three leftover packs, the part of the 5-pound pack of nails that you have is 5/6

To find the part of the full 5-pound pack of nails that you have, you need to add up all the fractions of the leftovers that you have.

The part of the full 5-pound pack that you have is:
= 1/4 + 1/ 4 + 1/3

= 3/12 + 3/12 + 4/12

= 10/12

In the simplest term, this is:

= 5/6

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Answer: The answer is C

Step-by-step explanation: Bro I'm in 8th grade rn and I know the answer XD my IQ is 137 :)

Answer:b

Step-by-step explanation:becuase -2x times 6x = -12x

then your done with that part so then multiply 7x7 and that's 49 so its

-12x+49

Answer:

10.4 it is the correct answer please mark me as a brainlist

The seconds that it will take the rock hit the ground at the base of the cliff is 5 seconds

Based on the information given, it should be noted that the expression given is:

y = -16t² + 4t +380

We have to divide through by 4. Therefore,

y = -4t² + t + 95

y = -4t² + 20t - 19t + 95

y = -4t(t - 5) - 19(t - 5)

t - 5 = 0

t = 0 + 5

t = 5

The time taken will be 5 seconds.

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B, C, and E are the products equivalent to 1/6

We have been given five different products and we have to find out which of them are equivalent to 1/6. So,

Here we observe that the product of B, C, and E after solving them is equivalent to 1/6 whereas, the product of A and D is 1/12 and -1/18 respectively.

Hence, We get that the product for the numbers

Which are Options B, C, and E equivalent to 1/6

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Answer: 0.725 seconds

Step-by-step explanation:

5 meters*14.5 seconds/100 meters=

5*14.5/100=

72.5/100=0.725 seconds

Answer:

5

Step-by-step explanation:

3x-7

=3×4-7

=12-7

=5..........

Answer:

$866.13

Step-by-step explanation:

to get an average, you add up all the factors then divide them by how many there are. I added 500 12 times to 1250 12 times to 1150 3 times and 600 4 times.

aka (500*12)+(1250*12)+1150+1150+1150+600+600+600

then i divided by 31 because 12+12+3+4=31. giving the average $866.13.

Answer: Supplementary Angles

Step-by-step explanation:

Supplementary angles are a pair of angles whose sum is 180°. 45° and 135° add up to 180°. Therefore, the answer is supplementary angles.

Answer:

27.185

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combination of two inequalities above:

Or interval notation:

Answer:

c = -a/4 + b + 11/4

Step-by-step explanation:

Solve for c:

a = -4 c + 4 b + 11

a = -4 c + 4 b + 11 is equivalent to -4 c + 4 b + 11 = a:

-4 c + 4 b + 11 = a

Subtract 4 b + 11 from both sides:

-4 c = a + (-4 b - 11)

Divide both sides by -4:

Answer:  c = -a/4 + b + 11/4

Answer:

Answer would be 22 km at southward direction.

Answer = 22km

Step-by-step explanation:

As it started from the point O.

* Goes 50 to East direction

* Goes 22 to North direction

* Goes 50 to West direction

* And the it travels back to the starting point when it turn to south direction. It traveled 22 km to southward direction.

> Total kilometers the train traveled is 144 kilometers.

I hope you get this right.

Applying the vertical angles theorem and the linear pair theorem, the measure of angle PQV is calculated as: 53°.

The linear pair theorem states that when two angles form a linear pair, the sum of both angles of the linear pair would be equal to 180 degrees.

Two angles that are a vertical pair, have a measure that is equal to each other, based on the vertical angles theorem. That is, they are congruent angles.

m<RQS + m<PQT = 180 degrees [linear pair theorem]

Substitute

(2m + 4)° + (3m + 1)° = 180°

Solve of the value of m

2m + 4 + 3m + 1 = 180

Add like terms together

2m + 3m + 4 + 1 = 180

5m + 5 = 180

5m + 5 - 5 = 180 - 5

5m = 175

5m/5 = 175/5

m = 35

m<PQR = 3m + 1 [vertical angles theorem]

Plug in the value of m

m<PQR = 3(35) + 1

m<PQR = 105 + 1

m<PQR = 106°

m<PQV = 1/2(m<PQR)

m<PQV = 1/2(106)

m<PQV = 53°

Thus, applying the vertical angles theorem and the linear pair theorem, the measure of angle PQV is calculated as: 53°.

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Answer:

The answer is 74

Step-by-step explanation:

Answer: 32, 46

Step-by-step explanation:

a=number 1. b=number 2

a=b-14

a+b+7=85

b-14+b+7=85

b+b-14+7=85

2b-7=85

2b=92

b=46

a=46-14

a=32

Answer:



Step-by-step explanation:

the equation to find this is

x+(x+14)+7=85

first minus the 7

X+(x+14)+7-7= 85-7

x+(x+14)=78

78÷2 = 39

42+36

Answer: w=[tex]\sqrt{47}[/tex], l=2[tex]\sqrt{47}[/tex]

Step-by-step explanation:

A=area of rectangle

A=l*w

A=2w*w

94=2w*w

w*w=47

w=[tex]\sqrt{47}[/tex]   ==> width of rectangle and side length of square

94=l*w

94=l*[tex]\sqrt{47}[/tex]

l=[tex]\frac{94}{\sqrt{47} }[/tex]

l=[tex]\frac{94\sqrt{47} }{47 }[/tex]

l=2[tex]\sqrt{47}[/tex]

The investment amount at 9% rate is $12500 and the investment

amount at 2% rate is $15500

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let x be the amount invested at 9% rate.

And (28000−x) be the amount invested at 2% rate.

The total annual income is $1435

Let us find the amount invested at 9% rate:

x9%+2%(28000−x)=1435

9%+2%(28000−x)=1435

0.09x+0.02(28000−x)=1435

0.09x+560−0.02x=1435

0.09x−0.02x=1435−560

0.07x=875

x=875/0.07

x=12500

Let us find the investment amount at 2% rate:

⇒28000−x

⇒28000−12500

⇒15500

Therefore, the investment amount at 9% rate is $12500 and the investment amount at 2% rate is $15500.

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Answer:

I think the answer would be the letter b

Using it's formula, it is found that Charles' human life value is of $26,951.39.

The human life value formula(HLV) is given by the following multiplication:

HLV = Annual Expenses x Number of Years x Interest Rate.

For this problem, we have that:

Hence, applying the formula, we have that Charles' human life value is found as follows:

HLV = 20912 x 24 x 0.0537

HLV = $26,951.39.

Charles' human life value is of $26,951.39.

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The slope of the linear function shown in the graph is of 2, as:

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, we want to find the slope given two points of the function, which are (2,4).

For the calculation, we have that:

Hence:

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Answer:

Aiden got the question wrong because he added four squares instead of four columns. Aiden confused 0.4 with 0.04, using 4 ones instead of 4 tens.

Im sorry if this is confusing i hope it helped :)

Answer: Brody's Age is 19 and Trinity's age is 11

Step-by-step explanation:

x = Trinity's age

2x-3= Brody's age

The sum of the ages is 30, so

x + (2x-3) = 30

3x - 3 = 30

add 3 to both sides 30 turns into 33 so,

3x = 33

divide by 3 both sides

x = 11 which is trinity's age and plug x  into 2x - 3 which is 19 so that's Brody's age.

The decimal odd one out is: 123 hundredths and 4 thousandths.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.

Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given: 1.234 is a decimal.123.4 hundredths, 1234 thousandths and 12.34 are all different forms of the given decimal. But 123 hundredths and 4 thousandths is not.

This is due to the fact that in the other selections, it is written in decimal format or is finished, but in the fourth or final option, it is purposefully not written in decimals. It is hence the outlier.

Hence, The decimal odd one out is: 123 hundredths and 4 thousandths.

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The inequality of the number line is x > -1

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

From the question, we have

Point = -1

Assume the following

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

This means that the inequality of the number line is x > -1

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Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation

17

-6

=11

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5+x \end{cases}\implies C=2\pi (5+x)\implies C=10\pi +2\pi x[/tex]

if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:

56mi - 8mi = 48mi

Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:

D = 48mi/6 = 8mi

This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

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The simplified form of 4.5p (2 - 0.2p) is option A 9p - 0.9p²

Given,

The expression: 4.5p (2 - 0.2p)

We have to simplify the expression:

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement.

They are different in a way that extends the distinction between expressions and equations. Either equations or expressions can be simplified. Making the math language simpler entails shortening it. Finding the value or values that make the equation, or math sentence, true, is the process of solving.

That is,

4.5p (2 - 0.2p)

Open the bracket and do the multiplication:

(4.5p × 2) - (4.5p × 0.2p)

= 9p - 0.9p²

That is, the simplified form of the expression 4.5p (2 - 0.2p) is 9p - 0.9p².

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The product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex] and g(x) = [tex]-x^{2}[/tex] is

As per the given question statement, we are supposed to find and simplify the product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex]and g(x) = [tex]-x^{2}[/tex].

Let's assume [tex]m(x)[/tex] be the product of the functions [tex]f(x)[/tex] and [tex]g(x)[/tex]

So, [tex]m(x) = f(x) * g(x)\\m(x)= (x+2)*(-x^{2} )\\m(x)=-x^{3} -2x^{2}[/tex]

Therefore the product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex]and g(x) = [tex]-x^{2}[/tex] is [tex]m(x)=-x^{3} -2x^{2}[/tex]  

This question is a classic example of how to solve functions using different mathematical operations and using the concept of algebraic expressions.

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