A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answers

Answer 1

Solving a system of equations we can see that:

7 small boxes were shipped.14 large boxes were shipped.

How to determine the number of boxes?

Let's define the variables:

x = number of small boxes.y = number of large boxes.

With the given information we can write the system of equations:

y = 2*x

x*45 + y*80 = 1435

To solve the system, we can replace the first equation into the second one.

x*45 + (2*x)*80 = 1435

x*45 + x*160 = 1435

x*205 = 1435

x = 1435/205 = 7

x = 7

So we conclude that 7 small boxes were shipped, and then:

y = 2*x = 2*7 = 14

14 large boxes were shipped.

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Related Questions

Got the answer to a already just need b

Answers

a) Number of points the team has  is 18

b) Number of games lost by the team is  9

a) How many point does the team have?

Number of wins the team has  = W= 5

Number of draws the team has  = D= 3

Number of points of the team = P

The equation is given by,

P = 3W +D

P= 3*5 + 3

P = 15+3

P = 18

Number of points the team has 18 points

b) How many games has this team lost?

Number of points of the team =P = 50

Number of draws the team has = D= 14

Number of wins the team has  = W

Number of matches played by the team =T= 35

The equation is given by,

P = 3W +D

50 = 3W+ 14

3W = 50- 14

3W = 36

W = 12

Rewriting as equation,

Lost matches = Total matches - (Win matches+ Draw matches)

                      = T - (W+ D)

                      = 35 - (12+ 14)

                      =35 - 26

                      = 9

Number of games lost by the team = 9

What is an equation?

An equation declares that two things are equal. It will include an equals sign ' ='  similar to this. The terms left-hand side and right-hand side refer to the expressions on each side of the equals sign. It's very common to presume that an equation's right side is zero. The generality can be realized by deducting the right-hand side from both sides, assuming that this does not reduce it.

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(HELP ALAAH AKBARRRR!!) 2x3=6
3x3=?

Answers

Answer:

9

Step-by-step explanation:

2x3=6 (2+2+2=6)

3x3=9 (3+3+3=9)

Answer:

ans is 9 bro

Step-by-step explanation:

You deposit $675 in a savings account that earns 6% interest compounded
monthly.
a. Write a function that represents the balance after t years.
b. What is the balance after 3 years?

Answers

$ 807.76    is the balance after 3 years by compound interest.

What is compound interest with example?

When you earn interest on both the money you have saved and the interest you have already received, this is known as compound interest.For instance, after a year, if you deposited $1,000 in an account with 1% yearly interest, you would have received $10 in interest. Compound interest allows you to earn 1 percent on $1,010 (principal plus interest), or $10.10 in interest payments for the year, in Year Two.

Given

Principal , P = $675

Rate , r = 6% = 0.06

Time = t years

n = 12             (compounded monthly)

(a)

Balance after t years is given as,

A = P(1 + r/n)nt

A = 675(1 + 0.06/12)12t

A = 675(1.005)12t

Balance after t years =  675(1.005)12t              

(b)

Balance after 3 years =  675(1.005)12*3

= 675(1.005)36

= 675*1.19668

=807.7593 \approx 807.76

Balance after 3 years = $ 807.76          

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Find the y-intercept of the line 15x+y=-4
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answers

u vu h,j h j h jcuvugogjjvjccjcjcvk

FISRT RIGHT THEN EQUATION IN THE GENERAL FORM y=mx+c

y=-4-15x

In the y intercept the x coordinate in the axis is 0.

therefore we can plug in the value 0 in the place of x and solve for y

[tex]y = - 4 - 15(0) \\ y = - 4[/tex]

The y intercept is -4.

30 points. Please help

Answers

Answer:

7

Step-by-step explanation:

A(3,2) is the element located at row 3, column 2 and that is 7

Answer: 7

Step-by-step explanation:

A₃₂ - the first index is a line, the second index is the column

Their intersection is this number

This number is 7

Five CD’s cost 80. If each CD cost the same, how much does one cost

Answers

Answer:

16

Step-by-step explanation:

Divide to find this answer.

If you're allowed to use a calculator, divide 80÷5 or

80/5 This will give you the answer 16.

If you are not permitted to use a calculator, see attached image for an example of a long division

When Denine went to the pizza palace to order pizza for her party her friend Caleb noticed that for every 10 orders of cheese pizza there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushroom pizza. If there were 35 pepperoni pizzas ordered how many total pizza were ordered? While waiting on the pizza something went wrong with the oven and 2 out of every 25 pizzas were burned. How many pizzas were burned? If 360 pizzas were ordered how many cheese and how many mushroom pizzas were ordered?

Answers

Using proportions, it is found that:

If there were 35 pepperoni pizzas ordered, 150 total pizzas were ordered.12 pizzas were burned.120 cheese pizzas and 96 mushroom pizzas were ordered out of 360 pizzas.

What is a proportion?

A proportion is a fraction of a total amount, and the measures in the context of a problem are found using basic arithmetic operations such as multiplication and division.

One application of proportions is for ratio problems, as fractions are built from the ratios to find the equivalent amounts.

Caleb noticed that for every 10 orders of cheese pizza there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushroom pizza, hence the fraction of Pepperoni pizzas out of the total is given by:

Pepperoni = 7/(10 + 7 + 5 + 8) = 7/30 of the total.

If 35 pepperoni pizzas were ordered, the total number is found as follows:

7x/30 = 35

7x = 30 x 35

x = 30 x 5

x = 150 pizzas.

2 out of every 25 pizzas were burned, hence the number of burned pizzas is given by:

2/25 x 150 = 2 x 6 = 12 pizzas.

The cheese fraction is given by:

10/30.

Hence, out of 360 pizzas, the number is given by:

10/30 x 360 = 10 x 12 = 120 cheese pizzas

The mushroom fraction is given by:

8/30.

Hence, out of 360 pizzas, the number is given by:

8/30 x 360 = 8 x 12 = 96 mushroom pizzas

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solve for x

solve for x

Answers

I WILL USE THE REASONS CORRESPONDING ANGLES AND ANGLES ON THE STRAIGHT LINE. SINCE THE DIAGRAM LACKS FULL LABELLING THAT MAKES ME UNABLE TO EXPLAIN MORE USING DEMONSTRATION

[tex]3x - 3 + (4x - 6) = 180 \\ 3x + 4x - 3 - 6 =180 \\ 7x - 9 = 180 \\ 7x = 180 + 9 \\ 7x = 189 \\ \frac{7x}{7} = \frac{189}{7} \\ x = 27[/tex]

ATTACHED IS THE SOLUTION x=27°

Answer:

x = 27

Step-by-step explanation:

3x - 3 and 4x - 6 are same- side exterior angles and sum to 180° , that is

3x - 3 + 4x - 6 = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

evaluate the product $$ (\sqrt{5} \sqrt{6} \sqrt{7}) (\sqrt{5} \sqrt{6} - \sqrt{7}) (\sqrt{5} - \sqrt{6} \sqrt{7}) (-\sqrt{5} \sqrt{6} \sqrt{7}) $$

Answers

By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

How to simplify a product of two binomials with radical numbers

Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:

(√5 + √6) · (√7 - √5)     Given

(√5 + √6) · √7 + (√5 + √6) · (- √5)     Distributive property

√7 · √5 + √6 · √7 + √5 · (- √5) + √6 · (- √5)     Distributive property

√35 + √42 - 5 - √30     (- a) · b = - a · b/ √a · √b = √a · b/Result

By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

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21. If x: y = 3: 4, find (3x + 4y): (5x + 6y).


please fast answer I will mark you brain list answer ​

Answers

Answer: Correct option is B)

Put x=3y=4

(3x+4y):(5x+6y)=(3×3+4×4):(5×3+6×4)

                                      =(9+16):(15+24)

                                      =25:39

Step-by-step explanation:

long division synthetic division

Answers

An additional strategy for splitting polynomials is synthetic division. If you are dividing by a polynomial of degree 1, it is a shortcut for long division that only functions in that situation.

The divisor often takes the shape of (x a). Contrary to long division, you are solely concerned with the polynomials' coefficients in synthetic division.

How is lengthy synthetic division performed?

Another method for dividing a polynomial by the binomial x - c, where c is a constant, is synthetic division.

Setting up the synthetic division is the first step.

Bring the leading coefficient down to the bottom row in step two.

Step 3: Divide c by the amount that was just entered in the bottom row.

Add the column you made in step 3 in step 4.

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There is a 20% sale on in Zara

The bag I want is now £60.

What was the original cost of
my bag?

please give steps for this answer!

Answers

Answer:

£72.00

Step-by-step explanation:

60*20% (0.20) = 12
60 (original price) + 12 = 72
therefore, the original price of the bag was £72.00

p²-q² = 7 and p-q=2. Find the value of p + q.​

Answers

7/2

Factor the quadratic and insert 2 for (p-q). Solve the new equation for (p+q).

See details:

7×^4 +1
The expression represents a polynomial with _terms.
The constant term is _ the leading terms_, and the leading coefficient is __

Answers

The expression represents a polynomial with  two terms. The constant term is 1 ; leading terms is 7X^4 and leading coefficient is 7

What is polynomial?

Algebraic expressions that are made up of variables and coefficients are called Polynomials. Variables may be called indeterminates. Arithmetic operations such as addition, subtraction, multiplication can be performed for polynomial expressions but not division. As can be noticed, Polynomial is made up of two terms that are  Poly meaning “many” and nominal meaning “terms.”.

Term with the highest degree is the leading term of a polynomial therefore 7X^4

Coefficient of the leading term is the leading coefficient of a polynomial therefore 7

The expression has only two terms separated by "+" therefore two terms.

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n minus two dived by seven equals two

Answers

n - 2/7 = 2

n= 2 2/7 or 2.285714…

raise the difference of h and 4 to the 10th power

Answers

Answer:

h-4^10

Step-by-step explanation:

The difference of h and 4 is h-4

to the 10th power, is putting 10 as the exponent.

Write the second ligament definition above as a biconditional. Use "if" and "only if".

2. A ligament is a bond of tissue connecting bones or holding organs in place.

Answers

Using  "if" and "only if" for the second definition of ligament gives:

A ligament is a bond of tissue if and only if, it connects bones or hold organs in place.

What is a biconditional statement?

This is a term used to refer to a type o statement that brings two conditional statement together, Most of the times biconditional statements use if and only if to combine the two conditions.

In the given statement, the two conditions are

A ligament is a bond of tissue ligaments connects bones or hold organs in place.

Biconditional statements ensures that the two statements are maintained for the statement to be valid.

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Find all values for x that will make this expression equal to 0.

(x-9)(x+1)

Answers

The values of x that will make this expression equal to 0 are -1 and 9

How to determine the values

Given the expression;

(x-9)(x+1)

Let's take the following steps to determine the values

First, expand the bracket, we get;

x² + x - 9x - 9

x² + x - 9x - 9

equate the expression to zero, we have;

x² + x - 9x - 9 = 0

add or subtract the like terms, we get;

x² - 8x - 9 = 0

Factorize the values

x² - 9x + x - 9 = 0

Factor out the common terms in the equation, we get;

x(x - 9) + 1(x - 9) = 0

The equation are;

x + 1 = 0 and x - 9 = 0

Then,

x + 1 = 0

x = -1

x - 9 = 0

x = 9

Thus, the values are - 1 and 9

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2x^2 +2x+4= 0,solve for x .answers should be in decimal.

Answers

the question does not have a solution.

a) graphing - the parabola never crosses the x-axis. When y = 0, what does x equal? none.

b) cannot factor/properly solve for zeros.

b. What does the standard deviation tell you about the trees at these
farms?

Answers

From the given dot plot, it is found that:

1. Farm 1 has mean of 8 inches and standard deviation of 1.15 inches, while Farm 2 has a mean of 8 inches but a standard deviation of 2.31 inches.

2. The lower standard deviation tells that the heights of the trees in Farm 1 are more uniform than in Farm 2.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.

A dot plot shows the number of times that each observation appears in a data-set.

Hence, at farm 1, the measures are given as follows:

6, 7, 7, 8, 8, 8, 9, 9, 10.

The mean is given by:

M = (6 + 2 x 7 + 3 x 8 + 2 x 9 + 10)/9 = 8 inches.

The standard deviation is given by:

S = sqrt[((6-8)² + 2 x (7-8)² + 3 x (8-8)² + 2 x (9-8)² + (10-8)²)/9] = 1.15 inches.

For Farm 2, the measures are given as follows:

4, 6, 6, 8, 8, 8, 10, 10, 12.

Hence the mean and the standard deviation are given, respectively, by:

M = (4 + 2 x 6 + 3 x 8 + 2 x 10 + 12)/9 = 8 inches.S = sqrt[((4-8)² + 2 x (6-8)² + 3 x (8-8)² + 2 x (10-8)² + (12-8)²)/9] = 2.31 inches.

Farm 1 trees' heights have a lower standard deviation than Farm 2 trees' heights, hence they have more uniform trees.

What is the missing information?

The problem is missing and is given by the image at the end of the answer.

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Which of the following statements is true when comparing numbers using a number line?
The number closest to zero is always the least.
The number farthest from zero is always the greatest.
The number farthest right is always the least.
The number left is always the least.

Answers

From the given statements, the statement which is true when comparing numbers using a number line is :

The number left is always the least.

The definition of a number line is a straight line that shows numbers arranged at equal distances.

A number line is often shown horizontally and can be extended indefinitely in any direction.

Moving right causes the numbers to increase (or become greatest), while moving left causes the numbers to decrease ( or becomes least).

Larger numerals on the number line are always to the left of smaller numbers. Positive numbers have a negative opposite, and negative numbers have a positive opposite. Because it is defined as the distance from zero (the origin) on a number line, the absolute value of any real number is always positive.

Hence the right statement is that the number left is always the least.

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D. The number left is always the least

PLS HELP ASAP WILL GIVE BRAINLIEST

Answers

The statements that are true if the given pairs of triangles are congruent are:

1. ∠A ≅ ∠T; AC ≅ QT; ∠C ≅ ∠Q; ∠ABC ≅ ∠QRT

2. ∠ATF ≅ ∠LYZ; FT ≅ YL

3. B

4. ∠TAW ≅ ∠ERS; AW ≅ ER; WT ≅ SE

5. ∠GER ≅ ∠WAC; GE ≅ AC; AW ≅ ER; RE ≅ WA

What are Congruent Triangles?

If two triangles are congruent to each other, every part of the triangles that corresponds to each other will have congruent or equal measures.

1. Triangle ABC and TRQ are congruent to each other, therefore, the statements that are true are:

∠A ≅ ∠TAC ≅ QT∠C ≅ ∠Q∠ABC ≅ ∠QRT

2. Triangle FAT and LZY are congruent to each other, therefore, the statements that are true are:

∠ATF ≅ ∠LYZFT ≅ YL

3. Two triangles are congruent if and only if their corresponding parts are congruent, therefore, the answer is: B.

4. Triangle WAT and ERS are congruent to each other, therefore, the statements that are true are:

∠TAW ≅ ∠ERSAW ≅ ERWT ≅ SE

5. Triangle GRE and CWA are congruent to each other, therefore, the statements that are true are:

∠GER ≅ ∠WACGE ≅ ACAW ≅ ERRE ≅ WA

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Determine whether y varies directly with x. If so, find the constant of variation and write the equation. x=-2,-4,-16 y= -4, -8, -32

Answers

For given data y varies directly with x and the constant of variation is 2.

And the equation is y = 2x

In this question, we have been given some values of x and y.

we need to determine whether y varies directly with x.

If so, find the constant of variation and write the equation.

x = -2, -4, -16

y = -4, -8, -32

Consider the ratio y/x

-4/-2 = 2

-8/-4 = 2

-32 / -16 = 2

As y/x ratio is constant, y varies directly with x.

and the constant of variation is 2.

Also, the equation from given x, y values would be,

y = 2x

Therefore, for given data y varies directly with x and the constant of variation is 2.

And the equation is y = 2x

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The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Answers

The rational numbers are represented by P, Q, R, and S is mathematically given as

R= -4/3S= -5/3P= 7/3Q = 8/3

This is further explained below.

What are the rational numbers?

We make use of the idea of a number line, which displays the actual numbers in ascending order from left to right and from left to right to left.

One unit represents the distance between point U and point T.

It is separated into three sections that are all the same size.

Generally, the equation for TR is mathematically given as

TR = RS = SU

Therefore

TR = RS = SU = 1/3

[tex]R = -1 - (1/3)\\ R= -4/3\\\\S = -1 - (2/3) \\S= -5/3[/tex]

Considering the value of P

[tex]P = 2 + 1/3 = 6/3 + 1/3[/tex]

P= 7/3

Considering the value of Q

[tex]Q = 2 + 2/3 = 6/3 + 2/3[/tex]

Q = 8/3

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Please help me with this question!

Answers

Answer:

Option 1, 4

Step-by-step explanation:

[tex]\frac{108}{8}=\frac{27}{4}=6.75 \\ \\ 169<170<196 \implies 13<\sqrt{170}<14 \\ \\ \therefore \frac{108}{8}<\sqrt{170}[/tex]

what is the size of one interior angle of a regular octogon

Answers

The sum of exterior angles of a regular octagon

=360°

Each exterior angle of a regular octagon

=360°/8

=45°

Each interior angle of a regular octagon

=180°-45°=135°

Hope it helps you : )

PLEASE HELP I AM GROUNDED FOR MY GRADES

Answers

Answer:

a=41

Step-by-step explanation:

Answer:

a = 49

Step-by-step explanation:

41 + a + 90 = 180

solve for a

hope this helped

have a good day ^^

Please help TwT math is hard

Answers

Answer:

b

Step-by-step explanation:

The graph was horizontally stretched by a factor of 2.

help PLEASE❗️❗️❗️❗️❗️❗️❗️

Answers

Answer:

lol its 2x your afh

Step-by-step explanation:

What is the measure of C in the parallelogram shown?
A. 45°
B. 35°
C. 135°
D. 145°
D
145
B
C

Answers

Answer:
C
Explanation: the two angles must add up to be 180°.
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