(2x+1)(x-2)(x+3)
please help

The amount of sand = 200 kg

The amount of gravel = 600 kg

The amount of cement = 1000 kg

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.

And, They want 1800 kg of dry concrete.

Now,

Since, Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.

So, We can formulate;

The amount of sand = x

The amount of gravel = 3x

The amount of cement = 5x

Hence, We get;

⇒ x + 3x + 5x = 1800

Solve for x as;

⇒ x + 3x + 5x = 1800

⇒ 9x = 1800

⇒ x = 1800/9

⇒ x = 200

Thus, The amount of sand = x = 200 kg

The amount of gravel = 3x = 3 × 200 kg

                                          = 600 kg

The amount of cement = 5x = 5 × 200 kg

                                            = 1000 kg

Therefore, We get;

The amount of sand = 200 kg

The amount of gravel = 600 kg

The amount of cement = 1000 kg

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The integer which represents the rise in temperature of 19° is -|19|

Positive, negative, and zero numbers all fall under the category of integers. The word "integer" is a Latin word that signifies "whole" or "intact." Therefore, fractions and decimals are not considered to be integers.

A number without a decimal or fractional element is known as an integer, which encompasses both positive and negative numbers, including zero. The following are some examples of integers: -5, 0, 1, 5, 8, 97, and 3,043. Z denotes a collection of integers,

hence the correct form is answered.

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Answer:

232cm (2m 32cm)

Step-by-step explanation:

1m 34cm = 134cm
134cm + 98cm = 232 cm

Since the situation forms a right triangle, we can apply trigonometric functions:

Tan a = opposite side/ adjacent side

Where:

a= angle = 22.3°

opposite side = x

adjacent side = 118

Replacing:

Tan 22.3° = x / 118

Solve for x

Tan 22.3 * 118 = x

x = 48.4 ft

By definition, when two figures are similar, their corresponding angles are congruent (this means that they have equal measure) and the ratios of the lengths of their corresponding sides are the same.

In this case you know that the triangles shown in the picture are similar, therefore, you can set up the following proportion:

You can identify that:

Therefore, you can substitute values into the proportion:

Now you have to solve for ST:

The answer is:

Answer:

85

Step-by-step explanation:

There is a property of angle of triangles.

Exterior angle = Sum of opposite interior angles

7x + 8 = 3x - 9 + 61

7x + 8 = 3x + 52

7x - 3x = 52 - 8

4x = 44

x = 44/4

x = 11

m∠WHG = 7x + 8

               = 7 ( 11 ) + 8

               = 77 + 8

m∠WHG = 85

Answer:

Angle WHG is 85 degrees.

Step-by-step explanation:

X = 11.

7(11) + 8 = 85.

180 - 85 = 95 (Angle FHG.)
3(11) - 9 = 24 (Angle GFH.)
A triangle's angles always add up to 180 degrees.

24 + 95 + 61 = 180.
To double check, 180 - 95 = 85 degrees.

I hope this helped! And as for finding X, I kind of forgot how to get X, so I tried X being number 5-10 first, then tried 11, and it worked. Sorry for the late response.

The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".

A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.

The equation is,

y=4x

x+y=-20

x+4x=-20

5x=-20

x=-4

y=-4*4

y=-16

(x,y)=(-4,-16)

According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).

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Answer:

F(t) = -0.54(t - 12)² + 104

Explanation:

We know that C(t) = -0.30(t - 12)² + 40 and F(t) = 9/5C(t) + 32

Then, we can replace C(t) on the equation of F(t) to get

Therefore, the new function F(t) is

F(t) = -0.54(t - 12)² + 104

From the figure, the total number of students is

The number 15 is common in spanish, chemistry and math.

Hence, the number of students studying spanish, chemistry and math, n=15.

Therefore, the probability of surveying a student that is in math Spanish and chemistry is,

Therefore, the

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

SOLUTION

Step 1 :

We need to list the transformation for the equation,

compared to the parabola parent function,

Step 2 :

We need to graph the function,

Step 3 :

The graph is as shown below:

Step 4 :

Based on the two graphs, we can see that:

The transformations are Reflection, Vertical Shift and Vertical Compression.

The value of x is 3.

One of a set of rules in algebra: exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: [tex]a^{m}.a^{n} = a^{m+n}[/tex], [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

Given that, [tex]3^{10} = 3^{7} x^{3}[/tex]

On solving, we get,

[tex]3^{10} = 3^{7} x^{3}[/tex]

[tex]\frac{3^{10} }{3^{7} } = x^{3}\\3^{10-7} = x^{3} \\3^{3} = x^{3} \\x = 3[/tex]

Hence, The value of x is 3.

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We will have that Absolute Value is the magnitude of a value and is denotated as follows:

| x | : The absolute value of x.

When we speak about magnitude we refer just to possitive values. For example:

*The absolute value of 3:

| 3 | = 3

*The absolute value of -45:

| -45 | = 45

From this, we can clearly see that we "keep the number" but not the sign.

The perimeter of JKF is 28 cm.

What is perimeter?

The perimeter of a triangle is the distance around it, which is the sum of the lengths of its sides. The formula for the perimeter of a triangle is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle.

Given, triangle JKL and DEF is similar.

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Given,

perimeter of triangle DEF =28 cm

10 + 6+ third side = 28

third side = 12

Hence,

using the property of similar triangle,

perimeter of DEF/perimeter of JKL = DF/JL

28/ x = 12/4.5

28/x = 2.6

x/28 = 1/2.6

x = 28/2.6

x = 10.7 cm

The perimeter of triangle JKL = 10.7 cm

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The area of a rectangle is the product of its length and breadth. The maximum area enclosed by the fence is 36800 square meter  and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.

A rectangle is a type of parallelogram that has equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The dimensions of the given rectangle are (650 - 2x) and x.

Then, the area of the given rectangle can be written in terms of x as

A(x)  = x(650 - 2x)

In order to find the maximum area enclosed take the derivative of A(x) and equate it to zero as follows,

(660 - 2x) - 2x = 0

=> 4x = 660

=> x = 660 / 4

=> x = 115

Now, the maximum area is the value of A(x) at x = 115 as below,

= 115 × (650 - 2×115)

= 115 × 320

= 36800

The dimensions for the maximum area are 115 and (650 - 2 × 115) = 320.

Hence, the largest area enclosed is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.

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Answer:

1/4

Step-by-step explanation:

Answer:

1/4 barrel of root beer

Step-by-step explanation:

4 pounds of sassafras = 1 barrel of root beer

algebraically, this is 4s = 1r

divide both sides by 4

1s = 1/4r

so 1 pound of sassafra can make 1/4 barrel of root beer

Answer: The square will fit.

Step-by-step explanation:

the diameter of the circle is large enough that since the square is 7cm across, (each side is the same length, therefore the diameter is the same,) The square will fit on the inside of the circle.  

The equivalent expression for -3x + 12y is 3 (-x + 4y).

Expressions include a statement, at least one arithmetic operation, and at least two numbers or variables.

Given equation:

-3x + 12y

Take 3 as common from both the term, and we get,

= 3 (-x + 4y)  so the equivalent expression will be 3(-x + 4y).

Therefore, the equivalent expression for -3x + 12y is 3 (-x + 4y).

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Given:

Find-:

The scale factor

Explanation-:

The scale factor is:

So, the scale factor is:

The scale factor is 8.

Answer:

the equation of life is 9/3 plus 875 div by 34 when the sun is blue.

Step-by-step explanation:

your welcome

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}} \implies \cfrac{ -5 }{ 5 } \implies - 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 1}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-x+2\implies {\Large \begin{array}{llll} y=-x+6 \end{array}}[/tex]

The equation for a straight line is given by

where m is the slope and b is the intercept.

The formula to calculate m is,

Now the value of b can be calculated as, y intercept which here is, 10

Therefore, the required equation is, y=3x+10

The image shows the square root of 41

The root of 41 in decimal is 6.403.

As such the integers before and after 6.403 are 6 and 7

Another way to solve this is to consider the perfect square before 41 which is 36.

The square root of 36 is 6. Since 41 is higher than 36, the number before root 41 would be 6 and the next number after 6 is 7.

Hence the two numbers before and after √41 are 6 and 7

Answer:

8 hours

Step-by-step explanation:

You need to find time per every mile.

So you do 13/871 which is 0.0149253731 miles for every hour.

You multiply that number by 536 which gets you 7.99999998 hours which allows you to round to 8 hours.

T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.

To calculate the price per pound you can use corss multiplication

Farm Fresh

4pounds _____$3.20

1pound____$x

The onions cost $0.80 per pound

Mother nature

1/3pound ____$1/4

1pound____$x

The onions cost $1.33 per pound

Hobson's

2pounds_____$1.70

1pound____$x

The onions cost $0.82 per pound

Veggie Delight

$0.70 per pound

Answer:

[tex]98533 \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2956}{0.03}=\frac{295600}{3}=98533 \frac{1}{3}[/tex]

The Solution:

The correct answer is [option 4]

Given:

Required to select the correct statements.

Thus, the correct answer is [option 4]

The equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.

The data in the given question is-

The passing points are-

(x1, y1) =(-3,-4) and

(x2, y2) =  (3,2)

Slope = m = (y2 - y1)/(x2 - x1)

m = (2 + 4)/(3 + 3)

m = 6/9

m = 2/3

Equation of the line is evaluated using slope intercept form.

y - y1 = m (x - x1)

y + 4 = (2/3)(x + 3)

y = (2/3)x - 2

Thus, the equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.

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