A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails and each large box has 400 nails. The contractor bought twice as many small boxes as large boxes, which altogether had 3200 nails. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.

Answer:

Slope: 5/2

y-intercept: (0,-3)

The graph of the equation y=5/2x-3 is plotted.

Given data:

The linear equation is represented as y = ( 5/2 )x - 3

To graph the equation y = (5/2)x - 3, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is 5/2, and the y-intercept is -3.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -3), which represents the y-intercept.

Use the slope to find another point: Since the slope is 5/2, use the rise and run method. From the y-intercept point (0, -3), move up 5 units (positive 5) and then move to the right 2 units. This gives another point on the line, which is (2, 2).

Hence, the equation is y = ( 5/2 )x - 3 and the graph is plotted below.

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In standard form :660

Answer:

1/8

Step-by-step explanation:

Simplify the following:

(1 + 3/4)/(1/2) - (1/2 + 1)^3

Hint: | Write (1 + 3/4)/(1/2) as a single fraction.

Multiply the numerator of (1 + 3/4)/(1/2) by the reciprocal of the denominator. (1 + 3/4)/(1/2) = ((1 + 3/4)×2)/1:

(3/4 + 1) 2 - (1/2 + 1)^3

Hint: | Put the fractions in 1 + 1/2 over a common denominator.

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(1 + 3/4) 2 - (2/2 + 1/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

2/2 + 1/2 = (2 + 1)/2:

(1 + 3/4) 2 - ((2 + 1)/2)^3

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

(1 + 3/4) 2 - (3/2)^3

Hint: | Put the fractions in 1 + 3/4 over a common denominator.

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

4/4 + 3/4 2 - (3/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

4/4 + 3/4 = (4 + 3)/4:

(4 + 3)/4×2 - (3/2)^3

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

7/4×2 - (3/2)^3

Hint: | Express 7/4×2 as a single fraction.

7/4×2 = (7×2)/4:

(7×2)/4 - (3/2)^3

Hint: | In (7×2)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

7/2 - (3/2)^3

Hint: | Simplify (3/2)^3 using the rule (p/q)^n = p^n/q^n.

(3/2)^3 = 3^3/2^3:

7/2 - 3^3/2^3

Hint: | In order to evaluate 3^3 express 3^3 as 3×3^2.

3^3 = 3×3^2:

7/2 - (3×3^2)/2^3

Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.

2^3 = 2×2^2:

7/2 - (3×3^2)/(2×2^2)

Hint: | Evaluate 2^2.

2^2 = 4:

7/2 - (3×3^2)/(2×4)

Hint: | Evaluate 3^2.

3^2 = 9:

7/2 - (3×9)/(2×4)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

7/2 - (3×9)/8

Hint: | Multiply 3 and 9 together.

3×9 = 27:

7/2 - 27/8

Hint: | Put the fractions in 7/2 - 27/8 over a common denominator.

Put 7/2 - 27/8 over the common denominator 8. 7/2 - 27/8 = (4×7)/8 - 27/8:

(4×7)/8 - 27/8

Hint: | Multiply 4 and 7 together.

4×7 = 28:

28/8 - 27/8

Hint: | Subtract the fractions over a common denominator to a single fraction.

28/8 - 27/8 = (28 - 27)/8:

(28 - 27)/8

Hint: | Subtract 27 from 28.

| 2 | 8

- | 2 | 7

| 0 | 1:

Answer: 1/8

Answer:

a probably

Step-by-step explanation:

Answer:

y = 240,000(1.048)^t

Step-by-step explanation:

Initial population: p = 240,000

Annual growth rate: 4.8% = 0.048

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 240,000(1 + 0.048)^t

y = 240,000(1.048)^t

Answer:

x = 2

Step-by-step explanation:

8x + 7x + 5 + 4 = 39

15x + 9 = 39

15x = 30

x = 2

Brainly plz :))

Answer:

9

Step-by-step explanation:

You take the amount of money that the gym membership cost, $55, and you divide that into, the amount of money he has, $495, and then that will leave you with 9 months.

Hope this helps :)))

Answer:

8 and 9

Step-by-step explanation:

Answer:

5x+20=55

5x=55-20

x=30/5=7

Answer:

x = 7

Step-by-step explanation:

5x + 20 = 55

     - 20    - 20

5x (÷5) = 35 (÷5)

x = 7

Answer:

billy has to mow at least 14 yards

Step-by-step explanation:

200 divided by 15 = about 14

Answer:

yes they are

Step-by-step explanation:

Answer:

Step-by-step explanation:

from 600 people changed to 950 people so increased 950-600=350

     if 600 is 100%

then 350 is ?%

?= 350*100/600 = 58.(3)%

so it increased by 58.(3)% since the year before

Answer:

The digit 5 in which number represents of a value of 50=5×5×2

Answer:

It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.

Step-by-step explanation:

Scalene Triangle - All 3 sides have different lengths.

Isosceles Triangle - 2 sides have equal lengths.

Equilateral Triangle - All 3 sides have equal lengths.

You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.

I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!

The given side lengths, 3.5 3.5, and 9, cannot form a triangle.

Given the side lengths, 3.5 3.5, and 9:

3.5 + 3.5 (7) is not greater than 9

Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.

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Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

Answer:5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

It is times 4

Step-by-step explanation:

32 divided by 8 equals 4

Answer:

38 students are not in the art club while 12 student are in the art club.

Step-by-step explanation:

Percent I am not exactly sure, I'm sorry, still I hope this somehow helped!

Answer:

x = 60°, y = 30°

Step-by-step explanation:

The sum of the triangle angles is always 180°

Therefore 90° + x + y = 180°

It is also known that x = 2y

// combine the given value of x into the previous expression

90° + 2y + y = 180°

2y + y = 180° - 90°

3y = 90°

// divide both sides by 3

y = 30°

// then combine the given value of y into the expression x = 2y

x = 2 * 30°

x = 60°

Answer: y= -2/7x-2

Step-by-step explanation:

The total cost for a pair of jeans at the sale price including 7% tax is $96.30.

Percentage, denoted by %, is defined as the parts of a number per fraction of 100.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

here, we have,

Given that,

Original price of the jeans = $60

Discount percentage = 25%

Amount of discount = 25% × 60

= 0.25 × 60

= $15

Price of a jean at the sales price = $60 - $15 = $45

Percentage tax = 7%

Tax amount = 7% × 45 = 0.07 × 45 = $3.15

Price of the jean after tax = $45 + $3.15 = $48.15

Total cost for a pair of jeans = 2 × $48.15 = $96.30

Hence the total cost is $96.30.

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I don’t know what I’m trying to solve here but wouldn’t X be 0 since anything you multiply it equals zero?

Answer:

3.98

Step-by-step explanation:

9.95÷5=1.99

1.99×2=3.98

Answer:

$3.98 correct me if im wrong

Step-by-step explanation:

$9.95 ÷ 5 = $1.99

$1.99 × 2 = $3.98

Answer: right answer is 23

Step-by-step explanation:

Answer:

|6-8|=2

Step-by-step explanation:

You see, absolute value makes any number positive. It doesn't matter if the number was already positive or negative. |x|>=0. If that makes sense. So, 6-8 would be -2. But -2 in absolute value would be 2.

Answer:

14 percent

Step-by-step explanation:

Answer:

3(2y + 5) = -21

open the bracket

6y + 15 = -21

collect like terms

6y = -21-15

6y = -36

divide by the coefficient of y

y = 36÷6

y= 6

Answer:

c=116     a=47    b=69    e=86   d=93

Step-by-step explanation: