Expand the following:
a) x(x + 6)
b) x(5x - 1)
c) 3x(6x + 5)
d) 4x(2x – 3y)​

Answer:

Jenny uses ‌7⁄12‌ of the tank of gas.

Step-by-step explanation:

Answer:

study my ___________ I hope it helps

Answer:

About $11.88 per foot

Step-by-step explanation:

Answer:

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As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

learn more about congruency here :

https://brainly.com/question/7888063

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Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

Answer:

She has 3/7 of the cookie left.

Step-by-step explanation:

Divide the cookie into 7 parts, then take away 4 of those parts. how many are left? 3 out of the 7. So therefore you answer would be 3/7.

Answer:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]

[tex]/ - / = \frac{?}{6}[/tex]

Required

Fill in the gaps

For Line 1, convert both fraction to a denominator of 6.

This is shown below:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]

[tex]\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}[/tex]

[tex]\frac{2*2}{2*3} - \frac{1*3}{2*3}[/tex]

[tex]\frac{4}{6} - \frac{3}{6}[/tex]

Hence:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

For Line 2;

We have:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the base area and height of the prism is not given.

To solve further, I'll assume that:

[tex]Base\ Area = 12\ in^2[/tex]

and

[tex]Height = 5in[/tex]

Using the above parameters, as point of reference.

The volume is:

[tex]Volume = Base\ Area * Height[/tex]

[tex]Volume = 12\ in^2 * 5\ in[/tex]

[tex]Volume = 60\ in^3[/tex]

Answer:

I believe that the orange shaded part is the answer

Step-by-step explanation:

Answer:

50.2 cm^2

Step-by-step explanation:

Formula for the area of a circle: [tex]\pi r^{2}[/tex]

Radius of bigger circle = 5

Area of big circle = 25 * 3.14 = 78.5

Radius of smaller circle = 3

Area of small circle = 9 * 3.14 = 28.26

Now, we subtract:

78.5 - 28.26 = 50.24 <--- Because we have to round to the nearest tenth, the final answer is 50.2

Answer:

50.2 cm²

Step-by-step explanation:

Find the area of both circles and subtract them.

Answer:

I'm pretty sure the answer to this is y=3

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Step-by-step explanation:

Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?

Answer:

x = 4.99°

Step-by-step explanation:

Reference angle = x

Opposite side to x = 20 cm

Hypotenuse = 230 cm

Applying trigonometric ratio formula, we would have the following equation:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Plug in the values

[tex] sin(x) = \frac{20}{230} [/tex]

[tex] x = sin^{-1}(\frac{20}{230}) [/tex]

x = 4.99° (approximated to nearest hundredth)

Step-by-step explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.

Answer:

A

[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]

9514 1404 393

Answer:

  B.  3b -0.51b

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  3(b -0.17b) = 3(b) +3(-0.17b) = 3b -0.51b . . . . note the minus sign

The term 3b represents the original price of 3 loaves of bread.

The term -0.51b represents the total discount on the price of 3 loaves of bread.

Answer:

Step-by-step explanation:

100842

Answer:

The answer is 100,842.

Step-by-step explanation:

6 x 7^5 = 100,842.

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

Answer: the volume is 480 cm

Step-by-step explanation:

You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.

Answer:

lb×bh×hl

6×8×8×10×10×6

48×80×60

230400

Answer:20 percent

Step-by-step explanation:correct me if I’m wrong

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

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Answer:

23°

Step-by-step explanation:

Let the missing angle be x

Reference angle = missing angle = x

Opposite side to x = 14

Hypotenuse = 36

Applying trigonometric ratio, we have:

[tex] sin(x) = \frac{14}{36} [/tex]

[tex] x = sin^{-1}(\frac{14}{36}) [/tex]

x = 23° (to the nearest degree)

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

Answer:

y = 5x - 3

Step-by-step explanation:

The Slope of a Line

Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

We are given the points (-1,-8) and (3,12). Compute the slope:

[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]

The equation of the line now has one known value:

y = 5x + b

Let's use the point (3,12) to find the value of b:

12  = 5(3) + b = 15 + b

Solving for b:

b = 12 - 15 = -3

The required equation of the line is:

y = 5x - 3