Eight trucks hold a total of 10 and 1/2 tons of cargo. Half the trucks are
large and the rest are small. Each large truck holds twice as much
cargo as a small truck. How much cargo can two large trucks and
one small truck hold? Write an equation and explain how you
found your answer.

The length is 30 inches.

For a frame of length L and width W, the perimeter is:

P = 2*(L + W).

Here we know that:

P = 96 in

L = 2*W - 6in

Replacing that we get:

96in = 2*( (2*W - 6 in) + W)

Now we can solve that equation for W:

96in = 2*(3W - 6in)

96in/2 + 6in = 3W = 54in

W = (54in)/3 = 18in

The width is 18 inches, then:

L = 2*W - 6in = 2*(18 in) - 6in = 30in

The length is 30 inches.

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Answer:

transition 1 would be 5 to the right

transition 2 would be 1 down

Step-by-step explanation:

Answer:

x = 7

The length of the side is 18

Step-by-step explanation:

40 / 16 = 2.5

meaning the shape is dilated by 2.5

45 / (2x + 4) = 2.5

→ multiply both side by the denominator

45 / (2x + 4) * (2x + 4) = 2.5 * (2x + 4)  

→ simplify

45 = 2.5 * (2x + 4)  

→ divided both side by 2.5

45 / 2.5 = 2.5 * (2x + 4)  / 2.5

18 = 2x + 4

→ subtract 4 from both sides (want x alone)

18 - 4 = 2x + 4 - 4

14 = 2x

→ divid both side by 2

14 / 2 = 2x / 2

7 = x

Plug in x:

2x + 4 = 2(7) + 4

14 + 4 = 18

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

Answer:

9) Vincent will not get the correct answer because the + 484 is unneccesary, as he already subtracted it.

10a) 310,000 + x = 465,000; so x = 155,000

10b) 930,000/310,000 = 3 times more

Step-by-step explanation:

Answer:

90.24 in²

Step-by-step explanation:

Area of the pizza :

⇒ Area (rectangle) + Area (semicircle)

⇒ length × width + π × (radius)²

⇒ 8 x 5 + 3.14 x 4²

⇒ 40 + 3.14 × 16

⇒ 40 + 50.24

⇒ 90.24 in²

The area of a 2D form is the amount of space within its perimeter. The area of the pizza is 65.1327 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the pizza = Area of semi-circle + Area of Rectangle

                                   = (π/2)r² + (d×h)

                                   = [(π/2)×4²] + (8×5)

                                   = 25.1327 in² + 40 in²

                                   = 65.1327 in²

Hence, the area of the pizza is 65.1327 in².

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The equation that match the graph is

b. y = 3x^2

In mathematics, a vertical stretch is a transformation of a function that changes the distance between the function's graph and the x-axis without changing its shape.

A vertical stretch multiplies all the y-coordinates of a function's graph by a constant factor greater than 1. This causes the graph to be stretched vertically and move further away from the x-axis.

For example, if we have a function f(x) = x^2, a vertical stretch by a factor of 3 would result in the function g(x) = 3x^2.

The graph of g(x) would be the same as that of f(x), but stretched vertically by a factor of 3.

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Answer:

The answer is The function g because the graphs of ƒ and g are symmetrical about the line y = x

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

Answer "A" is correct

Step-by-step explanation:

I got it right on edge test

The table that represents the survey conducted by Isabel is:

                               Like Dolls        Don't like Dolls    Total

Like Trains                40                             15                  55

Don't like Trains         17                               8                 25

Total                           57                             23                80

The total number of kids that like dolls = total number kids - total number of kids that don't like dolls

80 - 23 = 57

Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that  like Trains and dolls

57 - 40 = 17

Number of kids that don't like dolls and but like trains :

30% x 23 = 7

(23 - 7) /2 + 7 = 15

Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8

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Using it's concept, it is found that the probability that a person consumes 1,500 to 2,000 calories in a day is given by:

D. 0.50

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that out of 500 people, 250 consume 1,500 to 2,000 calories in a day, hence the probability is given by:

p = 250/500 = 0.5.

Which means that option D is correct.

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Answer:

On a coordinate plane, a line goes through (0, 3) and (3, negative 1).

Answer: the bottom left

Step-by-step explanation:

you will find it or just look it up if im wrong

Answer:

The solutions to this equation are x = -8/9 and x = -16/3.

Step-by-step explanation:

We have this equation here:

First, let's simplify the right sight of the equation by simplifying 6/3 to 2.

Multiply both sides of the equation by 3 in order to get rid of the fractions.

Move the terms on either side of the equation to set them equal to 0.

Now, we can split this equation up into 4 possible cases. In each case, we make the absolute values negative or positive.

Simplify this equation by distributing -6 inside the parentheses.

Combine like terms.

Add 16 to both sides of the equation and divide by -7.

Distribute the negative sign and -6 inside of their respective parentheses.

Combine like terms.

Add 8 to both sides of the equation and divide by -9.

Distribute the negative sign inside the parentheses first.

Now, distribute -6 inside the parentheses.

Combine like terms.

Subtract 8 from both sides of the equation and divide by 5.

Distribute the negative signs inside the parentheses first.

Distribute -6 inside the parentheses.

Combine like terms.

Subtract 16 from both sides of the equation and divide by 3.

Whenever we solve problems with absolute values, we will always need to check for extraneous solutions.

Definition: These are solutions that may come up while solving but do not actually fit in the domain of the original problem.

Checking for these is tedious, but it will help eliminate wrong answers, so let's plug every "solution" for x that we found back into the original equation.

Substitute this value back into the original equation.

If we do all the calculations correctly, we will get:

Since this equation is NOT true, this means that x = -16/7 is NOT A SOLUTION.

Substitute this value back into the original equation.

If we do all the calculations correctly, we will get:

Since this equation IS true, this means that x = -8/9 IS A SOLUTION.

Substitute this value back into the original equation.

If we do all the calculations correctly, we will get:

Since this equation is NOT true, this means that x = -8/5 is NOT A SOLUTION.

Substitute this value back into the original equation.

If we do all the calculations correctly, we will get:

Since this equation IS true, this means that x = -16/3 IS A SOLUTION.

The two true solutions of the double absolute value equation, shown above, are:

Answer:

  x = -16/3 or -8/9

Step-by-step explanation:

The equation can be rewritten as a piecewise linear function with two breakpoints, or three domain regions. Each breakpoint is at the value of x where the argument of the absolute value function is zero: at x=4 and x=-2.

For each absolute value, we have ...

  |q| = -q   for q < 0

  |q| = q   for q ≥ 0

Then the three parts of the domain are ...

__

Subtracting the right side, the equation becomes ...

  1/3|x -4| -2/3x -2|x +2| = 0

Then the three piecewise functions are ...

Both absolute value arguments are negated.

  1/3(-(x -4)) -2/3x -2(-(x +2)) = 0

  x(-1/3 -2/3 +2) +4/3 +4 = 0 . . . . . collect terms

  x +5 1/3 = 0 . . . . . . . simplify

  x = -5 1/3 . . . . . . . . . subtract 5 1/3. This result is in the domain

__

Only the argument of |x -4| is negated.

  1/3(-(x -4)) -2/3x -2(x +2) = 0

  x(-1/3 -2/3 -2) +4/3 -4 = 0 . . . . collect terms

  -3x -8/3 = 0 . . . . . . . simplify

  -3x = 8/3 . . . . . . . add 8/3

  x = -8/9 . . . . . divide by -3. This result is in the domain

__

Neither absolute value function argument is negated.

  1/3(x -4) -2/3x -2(x +2) = 0

  x(1/3 -2/3 -2) -4/3 -4 = 0 . . . . . collect terms

  -7/3x -8/3 = 0 . . . . . . . . . simplify

  -7/3x = 8/3 . . . . . . . . add 8/3

  x = -8/7 . . . . . . . . . divide by -7/3. This result is not in the domain.

There is no solution in this region.

__

The solutions are ...

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

(b*h)÷2 = Area of a triangle

Base = 4

Height = 3

Now:

(4*3)/2 = 6 miles²

Now we have to multiply 6 miles² by 5 as our height.

We get 30 miles² as the volume of the figure.

Answer:

m∈(-∞;-2]∪[6;+∞).

Step-by-step explanation:

1) Δ=b²-4ac, then

m²-4(m+3)≥0; ⇔m²-4m-12≥0; ⇔ (m-6)(m+2)≥0;

2) m∈(-∝;-2]∪[6;+∝).

[tex]~~~~~~(x-1)^{\tfrac 32} =27\\\\\implies \left[(x-1)^{\tfrac 12} \right]^3 = 3^3\\\\\implies (x-1)^{\tfrac 12} = 3~~~~~~~~~;[\text{Cube root on both sides}]\\\\\implies x -1 = 9~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x = 10[/tex]

Step-by-step explanation:

a) 1*7=7 (Litres);

b) 1*2*5=10 (Litres);

c) 10*0.5*1/0.5=10 (bottles)

Answer:

I think that the answer is -81

Step-by-step explanation:

We have 3x+4x-81-14 x is given as 2.So we'll have 3*2+4*2-81-14= -81 per my calculations. TRY THIS

Answer:

A. 3b + 2

Step-by-step explanation:

We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.

What don't we know? The cost of the 3 copies.

So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is

3b + 2

Answer:

1

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.  

The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

[tex]\frac{1}{2}[/tex] is the coefficient

[tex]v[/tex] is the variable

[tex]3[/tex] is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

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Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

Answer:

See below ~

Step-by-step explanation:

The statements which are true :

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.

We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :

[tex] \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} [/tex]

Squaring 5 and 12 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144[/tex]

Adding 25 and 144 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 169[/tex]

Applying square root to both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} [/tex]

On simplifying , We get :

[tex] \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

Therefore , our answer is correct .

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\[/tex]

Therefore,

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

[tex]\bold{ax + b = 0}[/tex]

The equation after getting converted will be as follows ~

[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]

hope helpful ~

Answer:

Step-by-step explanation:

there is no slope. they have the same coordinates