Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted. If m represents the weight of the boxes that Marco lifted, which expression represents the total number of pounds Drew lifted?

Answer:

1) b 2) d 3) d

Step-by-step explanation:

Hey!

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Solution:

I would assume that the iron intake is combined between breakfast and lunch. So 8.25mg is too meals worth of iron. So all we have to do is subtract.

15 - 8.25 = 6.75

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Answer:

6.75mg are still needed for his daily intake.

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Hope This Helped! Good Luck!

Answer:

1. The railroad built towns along the railroad.

and

3. The railroad recruited settlers to form new.

Step-by-step explanation:

I just took it

The railroad facilitate population growth in the interior of the country by  The railroad built towns along the railroad, The railroad recruited settlers to form new.

A population is a complete set of a group of individualists, whether that group constitutes a nation or a group of groupings with a common characteristic. In data point, a population is the pool of individuals from which a statistical sample is drawn for a study. As we see, different countries have different populations.

The construction of the transcontinental railroad boosted Western economic development and population growth. For both persons and commodities, railroad businesses offered superior transportation. Additionally, they sold the property to settlers, which prompted a Westward migration. New railroads benefited the industry.

Therefore, option (A) is correct

Learn more about populations here:

https://brainly.com/question/27991860

#SPJ5

Answer:

d = sqrt( a^2 + b^2)

Step-by-step explanation:

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x1 = a

x2 = 0

y1 = 0

y2 = b

Solution

d = sqrt( (0 - a)^2 + (b - 0)^2 )

d = sqrt( a^2 + b^2)

which is another way of writing the Pythagorean theorem.

To find the distance between points (a, 0) and (0, b), use the distance formula which results in √(a² + b²). This involves calculating the square root of the sum of the squares of the coordinates.

Therefore, the final distance is √(a² + b²).

Finding the Distance Between Two Points

To find the distance between two points (a, 0) and (0, b), we use the distance formula:

Distance formula: d = √((x2 - x1)² + (y2 - y1)²)

Let's denote the points as:

Point 1: (a, 0)

Point 2: (0, b)

Applying the coordinates to the distance formula, we get:

d = √((0 - a)² + (b - 0)²)

Simplifying inside the square root:

d = √(a² + b²)

So, the distance between the points (a, 0) and (0, b) is √(a²+ b²).

Answer:

The coordinates of Z are (2,7)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]Y=(\frac{x1+x2}{2} ,\frac{y1+y2}{2})[/tex]

we have

X(-10,9),Y(-4,8)

Let

(x2,y2) ----> the coordinates of Z

substitute the values

[tex](-4,8)=(\frac{-10+x2}{2} ,\frac{9+y2}{2})[/tex]

Solve for x2

[tex]-4=(-10+x2)/2\\-8=-10+x2\\x2=10-8\\x2=2[/tex]

Solve for y2

[tex]8=(9+y2)/2\\16=9+y2\\y2=16-9\\y2=7[/tex]

therefore

The coordinates of Z are (2,7)

Answer:  The required co-ordinates of Z are (2, 7).

Step-by-step explanation:  Given that Y is the midpoint of XZ  and the co-ordinates of X are (-10, 9) and the of Y are (-4, 8).

We are to find the co-ordinates of Z.

Let (a, b) represents the co-ordinates of the point Z.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (x, y) and (z, w) are given by

[tex]\left(\dfrac{x+z}{2},\dfrac{y+w}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{-10+a}{2},\dfrac{9+b}{2}\right)=(-4,8)\\\\\\\Rightarrow \dfrac{-10+a}{2}=-4\\\\\Rightarrow -10+a=-8\\\\\Rightarrow a=-8+10\\\\\Rightarrow a=2[/tex]

and

[tex]\dfrac{9+b}{2}=8\\\\\Rightarrow 9+b=16\\\\\Rightarrow b=16-9\\\\\Rightarrow b=7.[/tex]

Thus, the required co-ordinates of Z are (2, 7).

Answer:

The perimeter of quadrilateral ABCD is 27.48 units

Step-by-step explanation:

we know that

The perimeter of quadrilateral ABCD is the sum of its four length sides

so

[tex]P=AB+BC+CD+AD[/tex]

we have

A(-5, 4),B(0,3),C(4,-1) and D(4,-5)

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Find the distance AB

Substitute in the formula

[tex]d=\sqrt{(3-4)^{2}+(0+5)^{2}}[/tex]

[tex]d=\sqrt{(-1)^{2}+(5)^{2}}[/tex]

[tex]AB=\sqrt{26}\ units[/tex]

Find the distance BC

Substitute in the formula

[tex]d=\sqrt{(-1-3)^{2}+(4-0)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(4)^{2}}[/tex]

[tex]BC=\sqrt{32}\ units[/tex]

Find the distance CD

Substitute in the formula

[tex]d=\sqrt{(-5+1)^{2}+(4-4)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(0)^{2}}[/tex]

[tex]CD=4\ units[/tex]

Find the distance AD

Substitute in the formula

[tex]d=\sqrt{(-5-4)^{2}+(4+5)^{2}}[/tex]

[tex]d=\sqrt{(-9)^{2}+(9)^{2}}[/tex]

[tex]AD=\sqrt{162}\ units[/tex]

Find the perimeter

substitute the values

[tex]P=\sqrt{26}+\sqrt{32}+4+\sqrt{162}=27.48\ units[/tex]

see the attached figure to better understand the problem

Answer:

120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.

Answer:

3 x [tex]2^{3}[/tex] x 5 = 120

Step-by-step explanation:

Use the factorization tree to answer this question.

Answer:

Step-by-step explanation:

y = x+3  because when : x = 3        y = 3+3=6

y=2x     because when : x = 3        y = 2(3)=6

Answer:

3/4

Step-by-step explanation:

3/4 is equal to 6/8 which is bigger than 5/8

6/8 > 5/8

Answer: 5/8

Step-by-step explanation:

3/4=0.8

5/8=0.7

It decreases by $95.71

Answer:

decreases by $95.71

Step-by-step explanation:

Just did test

Answer:

The number of dimes is 42 and the number of quarters is 8

Step-by-step explanation:

Let

x -----> the number of dimes

y -----> the number of quarters

Remember that

1 dime=$0.10

1 quarter=$0.25

we know that

0.10x+0.25y=6.20 -----> equation A

x=3y+18 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (42,8)

see the attached figure

therefore

The number of dimes is 42 and the number of quarters is 8

There are 42 dimes and 8 quarters

The two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]

x, y = variable

In this equation system there are coefficients and variables whose solutions can use:

We can state the problem in the form of algebraic equations

we translate this sentence into Algebraic expressions:

dime = D = $ 0.10

quarter = Q = $ 0.25

Then the equation becomes:

we translate this sentence into Algebraic expressions:

D = 18 + Q

We solve the two equations with substitution and elimination

1. elimination

0.1D + 0.25Q = 6.20 x 10

D - 3Q = 18                 x 1

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

D + 2Q = 62

D - 3Q = 18

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

5.5Q = 44

Q = 8

2. substitution

D - 3Q = 18

D - 3.8 = 18

D - 24 = 18

D = 42

6 squared divided by 2 (3) +4

brainly.com/question/376058

an algebraic expression

brainly.com/question/20988

brainly.com/question/2285423

Answer:

y = 6

Step-by-step explanation:

Given

6y - 2 = 34 ( add 2 to both sides )

6y = 36 ( divide both sides by 6 )

y = 6

Answer:

y = 6

Step-by-step explanation:

6y - 2 = 34

+2         +2

6y = 36

---    -----

6      6

y = 6

Every kilogram is 1,000 grams, but you want 10 kilograms. You can multiply 1,000 10 times (you can also add 1,000 10 times,) giving you the answer > 10,000.

Hope this helped!

Nate

[tex]\huge\boxed{\text{10,000 grams}}[/tex]

One kilogram is made up of [tex]\text{1,000}[/tex] grams. You can remember this because the Greek root "kilo" means "thousand."

So, just multiply [tex]\text{10} \times \text{1,000}[/tex] to get [tex]\boxed{\text{10,000 grams}}[/tex].

Answer:

Step-by-step explanation:

The first step is to take p on both sides:

[tex]A - p = p + p*r*t - p[/tex]

On the right hand side, cancel p and -p, since [tex]p-p=0[/tex]. The equation will be:

[tex]A - p = p*r*t[/tex]

Then, divide both sides of the equation by p*t:

[tex]\frac{A-p}{p*t} = \frac{p*r*t}{p*t}[/tex]

On the right hand side, p*t can be cancelled:

[tex]\frac{A-p}{p*t} = r[/tex]

Answer:

r=A-p     (the line is the bar so this is a-p over pt)

    pt

Step-by-step explanation:

P + Prt = A

P r t=A −P            isolate the term which contains  r

P rt=A−P

divide pt by each side

Answer:

2/9

Step-by-step explanation:

16/72 = (8×2)/ (8×9)=2/9

Answer: 2/9

Step-by-step explanation:

Divide it by 2 and keep going until you can't anymore.

Answer:

Are there any options for this question?

Step-by-step explanation:

I cant answer it without options.

Answer:

Step-by-step explanation:

[tex]\frac{11}{7} * \frac{7}{33}[/tex]

[tex]\frac{11 * 7}{7 * 33}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]0.333[/tex]

Answer:

c

Step-by-step explanation:

Its c because 10/3.69=0.369 then you tomes that by twelve and itequals 4.428 round that up and its 4.43.

Answer:

see explanation

Step-by-step explanation:

Consider the differences in the terms

2 - (- 1) = 2 + 1 = 3

7 - 2 = 5

14 - 7 = 7

The differences are 3, 5, 7 ← increasing in steps of 2

Thus the next 2 differences should be 9 and 11

Then the next 2 terms are

14 + 9 = 23

23 + 11 = 34

Answer:2 to 4%

Step-by-step explanation:

your odds are 1/30 then your persentage would be 3 percent so your range of 20 to 30 students would be 2 to 4 percent chances

Final answer:

The estimated probability of a specific student's name being drawn from a class of 20-30 students is 4% or 1 in 25.

Explanation:

The probability of a specific student's name being drawn from a class with a number of students between 20 and 30 can be estimated by taking the inverse of the average of the maximum and minimum possible number of students. We calculate the average by adding 20 (the minimum) to 30 (the maximum) and dividing by 2, resulting in an average class size of 25 students.

To estimate the probability of drawing any one student's name, we take the inverse of 25, which is 1/25 or 0.04. Thus, the estimated probability is 4% that any particular student would be chosen in a random draw from a class size between 20 and 30 students.

Final answer:

A real world situation that can be represented by the quotient -85/15 is paying off a credit card debt.

Explanation:

A real world situation that can be represented by the quotient -85/15 is the following:

Suppose you owe $85 on your credit card and you make monthly payments of $15. You want to know how many months it will take for you to pay off your debt completely.

To find the answer, you divide the amount you owe ($85) by the monthly payment ($15):

-85/15 = -5.67

This means it will take approximately 5.67 months to pay off your debt.

being [tex]x^{2} +5x+6[/tex] the answer is (x-3)(x-2)

begin [tex]x^{2} -5x+6[/tex] the answer is (x+3)(x+2)

1. [tex]x^{2} +5x+6[/tex]

second grade formala is used

[tex]x= \frac{-b±\sqrt{b^{2} } -4ac}{2a}\\ x=\frac{-5±\sqrt{5^{2} } -4.1.6}{2} \\ x= \frac{-5±1}{2} \\ x_{1} =-3  \\  x_{2} =-2[/tex]

Answer:

3 whole number, 9/20

because if you multiply 20 by 3 and add it by 9 you get 69, so when you divide the 69/20, you get 3.45

the answer is 2,220

you first aline 185 × 12 like so 185

× 12

then you need to multiply everything

Answer:

6 ≤ x < ∞

Step-by-step explanation:

The value of x cannot be less than 6 because that would make the term in the square root part negative. There is no real square root of a negative vale.

Answer:

[tex]\boxed {\sf x=66^o}[/tex]

Step-by-step explanation:

Apply the properties of a triangle:-

Where, the sum of all internal angles of a triangle is always equal to 180°.

[tex]\sf 90^o+x+24^o=180^o[/tex]

Combine like terms.

[tex]\sf x+90+24=180^o[/tex]

Add numbers.

[tex]\sf x+114=180^o[/tex]

Subtract 114 from both sides.

[tex]\sf x+114-114=180-114[/tex]

[tex]\sf x=66^o[/tex]

Answer:

[1, 4]; 1 = m

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so in this case, the coordinates are [1, 4]. Now, the rate of change [slope] is 1 because an invisible coefficient is always assumed to be 1.

I am joyous to assist you anytime.

Answer:

The slope of the line is 1 and it passes through the point (1,4).

Step-by-step explanation:

If a line passes through a points [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]            .... (1)

The given equation of line is

[tex]y-4=(x-1)[/tex]                .... (2)

We need to find the slope and the coordinates of a point on the given line.

On comparing (1) and (2) we get

[tex]m=1[/tex]

[tex]x_1=1[/tex]

[tex]y_1=4[/tex]

Therefore, the slope of the line is 1 and it passes through the point (1,4).

Answer:

= 10x² + 9x³

Step-by-step explanation:

I'm assuming you mean question 19

3x² + 5x³ + 7x² + 4x³    (rearrange to group like terms)

=3x² + 7x² + 5x³ + 4x³  (factor out common powers)

= (3+7)x² + (5+4)x³

= 10x² + 9x³