Bananas cost 3abunchandapplescost0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?

Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.

So,

y = -4x + b

We want to find the y-intersect (b) so substitute the intersected points and solve for it.

2 = -4(2) + b

2 = -8 + b

2 + 8 = b

10 = b

So the complete equation would be:

y = -4x + 10

Answer:

10 miles

Step-by-step explanation:

1/3 × 30 miles = 10 miles

Answer:

Step-by-step explanation:

30 * 1/3 = 10  :)

Step-by-step explanation:

1/7 + ? = 1/3

? = 1/3 - 1/7 = 7/21 - 3/21 = 4/21.

The missing fraction is 4/21.

Answer:

209 m²

Step-by-step explanation:

The class room has a measurement of 11 m long, 8 m wide and 5.5 m high. Hence the walls of the classroom would be 4, with the following measurements.

Wall 1: 11 m by 5.5 m, Wall 2: 8 m by 5.5 m, Wall 3: 11 m by 5.5 m and Wall 4: 8 m by 5.5 m

The area of wall 1 = 11 m * 5.5 m = 60.5 m²

The area of wall 2 = 8 m * 5.5 m = 44 m²

The area of wall 3 = 11 m * 5.5 m = 60.5 m²

The area of wall 4 = 11 m * 5.5 m = 44 m²

The sum of areas of the fall wall = area of wall 1 + area of wall 2 + area of wall 3 + area of wall 4

The sum of areas of the fall wall = 60.5 + 44 + 60.5 + 44 = 209 m²

Answer: Choice C.  g(x) = (3x)^2

To confirm this, plug in x = 1 and you'll find that:

g(x) = (3x)^2

g(1) = (3*1)^2

g(1) = (3)^2

g(1) = 3*3

g(1) = 9

Showing that (1,9) is on the red g(x) curve.

Answer:

y = -x + 3

Step-by-step explanation:

The equation of a straight line is generally written as;

y = mx + b

where m is the slope and b is the intercept

To get the slope we use the slope formula

Mathematically, that is;

m = (y2-y1)/(x2-x1) = (-1-2)/2-1 = -3/1 = -1

To get the intercept we equate any of the points to the partial equation that we have;

From;

y = -x + b

2 = -1 + b

b = 1 + 2 = 3

So the equation is;

y = -x + 3

Answer:

55 mph

Step-by-step explanation:

Given that:

Total miles of journey = 350 miles

Miles already driven = 75 miles

To cover the rest of the journey in 5 hours, the average speed of travel. Will be:

Recall:

Speed = (Distance left to cover ÷ budgeted travel time)

Distance left to cover : (total miles - distance already driven)

Average speed required = (350 - 75) / 5

= 275 / 5

= 55 mph

Answer:

14

Step-by-step explanation:

Answer:

4x-3

Step-by-step explanation:

Bc i said so

Answer:

tornado!

Step-by-step explanation:

sometimes tornados can start off slow and sometimes they can go really fast.

Answer:

(0,6)

Step-by-step explanation:

When a system of equations is graphed, the point at which the lines intersect is a solution to the system. Looking at the graph, we can see that the lines intersect at (0,6). Therefore, (0,6) is a solution to the system of equations.

Answer:

1

Step-by-step explanation:

Answer:

One

Step-by-step explanation:

[tex] \frac{1}{2} (x +12) = 4x - 1 \\ \\ \frac{1}{2} x + \frac{1}{2} \times 12 = 4x - 1 \\ \\ \frac{1}{2} x + 6 = 4x - 1 \\ \\ 6 + 1 = 4x - \frac{1}{2} x \\ \\ 7 = \frac{8x - x}{2} \\ \\ 7 = \frac{7}{2} x \\ \\ 7 \times 2 = 7x \\ \\ x = \frac{7 \times 2}{7} \\ \\ x = 2[/tex]

So, there exist only one solution for the given equation.

Answer:

c

Step-by-step explanation:

The value of sin x in the given right triangle is 0.894.

The sine of an angle is a trigonometric function that is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

Given is right triangle ABC, we need to find the value of sin x,

So, we see that the figure is divided into three similar triangles,

Namely,

Δ CDB ~ Δ BDA ~ Δ CBA,

Therefore, according to the definition of similarity,

We have,

CD / CB = BD / BA = 16/17.89

Therefore, BD / BA = 0.894

Also,

sin x = BD / BA

Therefore,

sin x = 0.894

Hence the value of sin x in the given right triangle is 0.894.

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Answer:

sin B sin C. When this equation is combined with the previous equation, we obtain the Law of. Sines. ... ас. B. FIGURE 4.5 Solving an. ASA triangle. Keep in mind that we must be given one of the three ratios to apply the ...

Answer:

b. 16 not sure its correct just trying to help out. :)

Step-by-step explanation:

Step-by-step explanation:

Let s represent the number of small boxes and l represent the number of large boxes.

We have 2s = l and 150s + 450l = 4200.

Therefore 150s + 450(2s) = 4200,

150s + 900s = 4200, 1050s = 4200, s = 4.

l = 2s = 2(4) = 8.

Hence there are 4 small boxes and 8 large boxes.

Answer:

y=2x-6. ---------(1)

4x-2y=14. --------(2)

substituting equation 2 in 1

4x-2(2x-6)=14

4x-4x+12=14

so it has no solution

Step-by-step explanation:

As you can see in the image below, the answer is no solution.

Answer:

Step-by-step explanation:

P = perimeter = 114

P =2 * length +2* width

P = 2(2x - 3) + 2(x)

114 =  4x-6  + 2x

114 = 6x -6

19 = x -1

20 = x

check it  

2( 2x -3)+2x =  ?  

4x -6 +2x=?

6x -6 = ?

6(20)-6 =?

120-6 = 114

yep this is correct

Answer:

9.36 x 10^(-10)

Step-by-step explanation:

Step-by-step explanation:

Angle 3 + Angle 5 = 180° (C-angles)

Therefore 7y + 15 + 110 - 2y = 180, 5y = 55, y = 11.

Angle 4 = Angle 5 (Z-angles)

Hence Angle 4 = 110 - 2y = 110 - 2(11) = 88°.

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0

Answer:

It is

Scale Factor = Ratio of Side Lengths

= 12/8 = 9/6 = 1.5.

Step-by-step explanation:

Hope this helped have an amazing day!

The two rectangles are similar and the scale factor is 3/2.

Given data:

The first rectangle is represented as ABCD

The second rectangle is represented as PQRS

Now, the dimensions of ABCD is 8 cm x 6 cm

The dimensions of PQRS is 12 cm x 9 cm

So, the scale factor is represented as k and the value of k is :

k = length of PQRS / length of ABCD

So, k = 12 / 8

k = 3/2

Hence , the similar rectangles have a scale factor of 3/2

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Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

Answer:

The solution to the system of equations be:

[tex]x=3,\:y=-1[/tex]

Hece, option B is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}[/tex]

Multiply x − 3y = 6 by 2:      2x-6y=12

[tex]\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}[/tex]

so

[tex]2x+2y=4[/tex]

[tex]-[/tex]

[tex]\underline{2x-6y=12}[/tex]

[tex]8y=-8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}[/tex]

Solve 8y = -8 for y

[tex]8y=-8[/tex]

Divide both sides by 8

[tex]\frac{8y}{8}=\frac{-8}{8}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-6\left(-1\right)=12[/tex]

[tex]2x+6=12[/tex]

subtract 6 from both sides

[tex]2x+6-6=12-6[/tex]

[tex]2x=6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of equations be:

[tex]x=3,\:y=-1[/tex]

Hence, option B is correct.

⚽ From Equation (i) we get :

⚽ Now, Substitute the equation (iii) in equation (ii) we get :

→ 2(6 + 3y) + 2y = 4

→ 12 + 6y + 2y = 4

→ 8y = 4 - 12

→ 8y = -8

→ y = -8 ÷ 8

→ y = -1

⚽ Now Substituting value of y = -1 in equation (iii) we get :

→ x = 6 + 3y

→ x = 6 + 3(-1)

→ x = 6 + (-3)

→ x = 6 - 3

→ x = 3

you need both sides of the equation to be equal to each other.

ex: 1 = 1

x = x

10 - x = -x + 10

this may not be what you're looking for and if it isn't just let me know

Answer:

hour and a half

Step-by-step explanation:

Answer:

Decimal form: 0.4286

Step-by-step explanation:

The value of 3/7 in decimal form up to nearest thousands will be 0.4285.

A fraction 3/7 is given in the question.

We have to find it's decimal form and round-off it to nearest thousands.

What will be the value of 1/2 in decimal form rounded to units place ?

The value will be 0.5

To find the decimal form let's divide 3 by 7.

3 ÷ 7 = 0.428572

We have to round it to nearest thousands i.e., up to 4 places Right to decimal point.

The rounded value will be 0.4285.

thus , the decimal form of 3/7 will be 0.4285 rounded off to nearest thousands.

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Answer:

There is nothing but your question and you should try on your own

Step-by-step explanation:

Answer:

N/A

Step-by-step explanation:

There is not context with this problem, therefore it cannot be solved.

Answer:

B.) 53/20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

|-4/5 - 1/10| + |-3/4 + 5/2|

Step 2: Evaluate

Answer:

The correct option is;

a. 20 m/s

Step-by-step explanation:

The given parameters are;

The angle at which the ball is thrown, θ = 30° to the horizontal

The horizontal distance of the top edge of the building where the ball lands from where the ball is thrown, x = 20 m

The height of the top edge of the building above the throwing point = 5 meters

Let "v" represent the speed with which the ball is thrown

We have;

The vertical component of the speed with which the ball is thrown, [tex]v_y[/tex] = v × sin(θ) = v × sin(30°) = v × 0.5 = 0.5·v

[tex]v_y[/tex] = 0.5·v

The horizontal component of the speed with which the ball is thrown, vₓ = v × cos(θ) = v × cos(30°) = v × 0.9 = 0.9·v

vₓ = 0.9·v

The kinematic equation of the motion is y = [tex]v_y[/tex]·t - (1/2)·g·t², where;

y = The vertical height reached = 5 metes

t = The time taken to reach the specified 5 m, height

g = The acceleration due to gravity = 9.8 m/s², we have;

Therefore, we have;

5 = 0.5·v·t - (1/2)·9.8·t²...(1)

Also, from the horizontal motion of the ball, we have the following kinematic equation of motion;

x = vₓ × t

Therefore, by substituting the known values, we have;

20 = 0.9·v × t

∴ v = 20/(0.9·t) = 200/(9·t)...(2)

Substituting the value of t in equation (1) gives;

5 = 0.5·v·t - (1/2)·9.8·t² = 0.5·(200/(9·t))·t - (1/2)·9.8·t²

∴ 5 = 0.5·(200/(9·t))·t - (1/2)·9.8·t² = 100/9 - 4.9·t²

4.9·t² = 100/9 - 5 = 55/9

t = √(55/(9 × 4.9)) ≈ 1.116766

The time taken to reach the specified 5 m height = t ≈ 1.116766 seconds

From equation (2), we have, v = 200/(9·t) = 200/(9 × 1.116766) ≈ 19.8987 m/s

The speed with which the ball is thrown = v ≈ 19.8987 m/s ≈ 20 m/s. to the nearest whole number.

The speed with which the ball is thrown is approximately 20 m/s

Answer:

The answer is:

a) 20 m/s

Hope it helps:D