The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown below. Suppose the total area of the walkway is 400 square feet. What are the dimensions of the garden?


PLEASE HELP I KEEP TRYING TO DO IT BUT IT DOESN'T WORK.

Answer:

1 5/7 bags of flour to make three batches of cookies

Step-by-step explanatio

12/7 bag of the flour is required to make 3 batches of cookies

Mathematics written statement indicating the equality of 2 expressions. this consists of the sequence of the symbols that is split in to left or right sides joined by the equal sign. For example, 2 + 4 + 5 = 11 is an equation.

When equality holds, the total weight on the each side is the same. Equations often contain terms other than a unknowns. These other terms, which is assumed to be known, is usually known as constants, coefficients and parameters

From the question;

2/7 bag of flour makes 1/2 of a batch of cookies

x bag of flour will make 3 batches of cookies

Mathematically, we cross multiply

2/7 * 3 = 1/2 * x

6/7 = x/2

2 * 6 = 7 * x

12 = 7x

x = 12/7 bag of flour

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Answer:

B) Distribute 1.2 to 6.3 and –7x

D) Combine 3.5 and 7.56

E) Subtract 11.06 from both sides

Answer:

b, d, and e :)

Answer:

15 x - 35 x y

Step-by-step explanation:

5 x (3-7 y)

5 * 3 x - 7 * 5 x y

= 15 x - 35 x y

Answer:

9

Step-by-step explanation:

It is congruent to the other side.

Answer:

That would be B.  Graph A.

Step-by-step explanation:

The  graph y < 2x - 1 is a dotted line which rises to the right with  a slope of 2 and passes through y = -1  and is shaded below the line. The graph y > -2 x +  2 rises to the left and passes through y = 2 and is shaded above the line.

Answer:

-6x - 6x² + 2x³

Step-by-step explanation:

Match each like-term to end up with the above answer.

I hope this helps.

Answer:

2/5

Step-by-step explanation:

Rise over run

Difference of y over the difference in x

Answer:

The slope is 2/5

Step-by-step explanation:

The slope formula is delta y over delta x.  If you insert the coordinates the equation is 1-3 / 3-8 = -2/-5 = 2/5.  The slope is 2/5

Answer:

D

Step-by-step explanation:

by definition, the square root of an negative number is known as an imaginary number. i.e Not a real number

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex][tex]\sqrt{-1}[/tex] = [tex]\sqrt{2}[/tex]i (imaginary number)

The [tex]\sqrt{-2}[/tex] is not a real number.

The following information should be considered with respect to the real number:

Therefore, the first three options are considered to be the real number.

Thus we can conclude that the [tex]\sqrt{-2}[/tex] is not a real number.

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Answer:

12y

Step-by-step explanation:

28y - 16y

Factor out a y

y(28-16)

y(12)

The difference is 12y

A = base x height

A = (3/5 - 1/5) x 2/5

A = 2/5 x 2/5

A = (2/5)²

A = 2²/5²

A = 4/25

The answer is D) 4/25 square feet.

Lines that are parrellell presume to have the same slope.

So if we just calculate the slope of a function or a line we should be good.

[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Now put in the data from the coordinates of the points [tex]A(3,-1)\wedge B(1,7)[/tex]

[tex]s=\dfrac{7-(-1)}{1-3}=\dfrac{8}{-2}=\underline{-4}[/tex]

The form of a function now looks like: [tex]

f(x)\vee y=-4x+n[/tex]

From here we are no longer required to calculate anything more. Leave n alone.

The solutions are the equations of the form above.

That would mean:

[tex]

y=-4x \\

y=-4x+8 \\

y+1=-4(x+1) \\

y-6=-4(x-3)

[/tex]

Hope this helps.

Answer:

14 dish soaps

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina

19 - 5 = 14

Answer:

14

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina  

19 - 5 = 14

Answer:

[8, inifinity sign)

Step-by-step explanation:

(2)/1 x -1/2 (greater than or equal to sign) 4(2), You need to get rid of the fraction so times 2 on both sides.

So the fraction cancels out and your answer is x (greater than or equal to) 8

The open side of the sign always is facing the bigger number so like this > so x is positive.

Since i can't show the number line i'll try to explain it if it's a greater than sign its a closed dot on the 8 going right. The 8 is in a bracket and the infinity is with a parenthesis. like this [8, infinity sign)

My teacher may have taught me different but it should be about the same.

Hope my answer has helped you and if not i'm sorry.

Answer:

75 degrees

Step-by-step explanation:

This is because all the angles in a triangle are supplementary which means they add up to 180 degrees.   This means that you subtract 180 from the other two angles

Please give Brainliest!!! Thanks! :D

Answer:

C. 75 degrees

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

You already know the degree of two angles: 70 & 35.

Now, subtract those numbers from 180 to find the degree of the missing angle.

180 - 70 - 35 = 75

So, the answer is C. 75 degrees.

I hope this helps!

Answer:

So there are 35 quarters and 21 nickels.

Step-by-step explanation:

So I guess that is all we have is quarters and nickels.

Quarters are worth .25

Nickels are worth .05

Let x represent the number of quarters

Let y represent the number of nickels

x+y=56

.25x+.05y=9.8

We are going to solve this system.

I'm going to use substitution. I will solve the first equation for y and then plug that into the second equation.

y=56-x  

.25x+.05(56-x)=9.8

.25x+2.8-.05x=9.8

.20x+2.8=9.8

.2x          = 7

 x=7/(.2) or 7*5=35

y=56-x

y=56-35=21

So there are 35 quarters and 21 nickels.

Answer:

A) n + q = 56

B) .05n + .25q = 9.80

We multiply A) by -.25

A) -.25n -.25q = -14  then add it to equation B)

B) .05n + .25q = 9.80

-.2n = -4.20

nickels = 4.20 / .20 = 21

quarters = 35

Step-by-step explanation:

The answer is:

2. A point halfway between the endpoints of a line segment.

The midpoint of a line segment, is a point that divides the line segment into two equal length sides, no matter the length of the segment, the midpoint will always cut the segment into two equal length sides

The midpoint is an ordinary point located in the middle of the line segment. The x-coordinate of the midpoint is halfway between the x-coordinates of the beginning and the end of the segment. The y-coordinate of the midpoint is halfway between the y-coordinates of the beginning and the end of the segment.

Hence, the correct option is:

2. A point halfway between the endpoints of a line segment.

Have a nice day!

Midpoint refers to point in the mid. The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If you walk halfway between the endpoints of a line segment, you'll reach to its mid, and thus, the midpoint of a line segment can be reached by walking halfway between its end points.

Thus,

The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.

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Answer:

Step-by-step explanation:

To move the graph 6 units to the right, subtract 6 in the absolute value.

y=|x+5-6|

To move it up, add 2 outside the absolute value.

y=|x+5-6|+2

Now remove the absolute values since x>1.

y=x+5-6+2

y=x+1

Answer:

20/3 or 6 2/3

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: 28/3

7/3 x 4

=28/4

= 9&1/3

Answer:

(1,2)  maximum

Step-by-step explanation:

The vertex is the the point on the graph where the graph does a "u-turn".

this point can either represent the maximum value or the minimum value depending on which way the graph is facing.

In this case, the graph looks like an "n" (as opposed to a "u").

We can clearly see that the point where the graph makes a U-turn is (1, 2)

we can also see that no part of the graph extends above this point, hence this point represents the maximum value which y could possibly be.

Hence (1,2) is maximum

Give me BRAINLIEST please

let's say the total holdings for the company, or namely the total quantity for the ratios is say hmmm "x", and we were to split "x" in quantities of 27:19:14:11 ratio, what we do is, we simply divide "x" by (27+19+14+11), and then distribute accordingly.

so, if we divide the total amount like that, we end up with fragments of the total, and each ratio gets so many fragments.

so, we know the German stock or that ratio gets $238 millions, and in those 238, since it's on a 14 ratio, there are 14 of those fragments of the total, how much is a fragment anyway?  well, simply how many times does 14 go into 238?  238 ÷ 14 = 17.

well, since we know the whole total of the holdings was split in fragments of 17, let's simply distribute accordingly.

[tex]\bf \stackrel{American}{27(17)}~~:~~\stackrel{Japanese}{19(17)}~~:~~\stackrel{German}{14(17)}~~:~~\stackrel{British}{11(17)} \\\\\\ \stackrel{American}{459}~~:~~\stackrel{Japanese}{323}~~:~~\stackrel{German}{238}~~:~~\stackrel{British}{187}\qquad \textit{in millions}[/tex]

Answer:

x=-3

Step-by-step explanation:

f(x)=-2(x+3)^2-5

The equation is in the form

f(x) = a(x-h)^2 -k

where (h,k) is the vertex

The h value is also the axis of symmetry

f(x)=-2(x--3)^2-5

The vertex is (-3,-5)

so the axis of symmetry is x=-3

Answer:

can you help me with my answer when your done on my page? vvvvv

Step-by-step explanation:

1. **Separating 90 into Two Parts:**

  - The smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 72 \)[/tex].

2. **Sum of Three Consecutive Integers:**

  - The three integers (in order) are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].

1. **Separating 90 into Two Parts:**

  - Let's denote the smaller part as [tex]\( x \)[/tex] and the larger part as [tex]\( 4x \)[/tex].

  - According to the problem, the sum of these two parts equals 90: [tex]\( x + 4x = 90 \)[/tex].

  - Combine like terms: [tex]\( 5x = 90 \)[/tex].

  - Divide both sides by 5 to solve for [tex]\( x \): \( x = 18 \)[/tex].

  - So, the smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 4 \times 18 = 72 \)[/tex].

2. **Sum of Three Consecutive Integers:**

  - Let's denote the smallest integer as [tex]\( x \)[/tex].

  - The next two consecutive integers would be [tex]\( x + 1 \)[/tex] and [tex]\( x + 2 \)[/tex].

  - According to the problem, the sum of these three integers equals 54: [tex]\( x + (x + 1) + (x + 2) = 54 \)[/tex].

  - Combine like terms: [tex]\( 3x + 3 = 54 \)[/tex].

  - Subtract 3 from both sides: [tex]\( 3x = 51 \)[/tex].

  - Divide both sides by 3 to solve for [tex]\( x \): \( x = 17 \)[/tex].

  - So, the three consecutive integers are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].

The complete question is here:

Separate 90 into two parts so that one part is four times the other part. What are the sizes of the two parts? The smaller part is _____ and the larger part is ____.

The sum of three consecutive integers is 54. Find the three integers. The three integers (in order) are ____, ____, and ____.

Answer:

y = 2x - 10

Step-by-step explanation:

First, we find the slope.

m = slope = (y2 - y1)/(x2 - x1) = (-2 - 4)/(4 - 7) = -6/(-3) = 2

Now we use the slope in the slope-intercept form of the equation of a line.

y = mx + b

y = 2x + b

We use the coordinates of one of the given points for x and y, and we solve for b. Let's use the point (7, 4), so we have x = 7 and y = 4.

4 = 2(7) + b

4 = 14 + b

Subtract 14 from both sides.

-10 = b

Now we replace b with -10.

y = 2x - 10

Answer: y = 2x - 10

ANSWER

The standard form is:

[tex]x - 2y = - 16[/tex]

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

[tex]m = \frac{11 - 10}{6 - 4} [/tex]

[tex]m = \frac{1}{2} [/tex]

The equation is given by the formula,

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the first point and the slope to get.

[tex]y-10= \frac{1}{2} (x-4)[/tex]

[tex]2y - 20 = x - 4[/tex]

[tex]x - 2y = - 20 + 4[/tex]

[tex]x - 2y = - 16[/tex]

The standard form is

[tex]x - 2y = - 16[/tex]

Answer:

Option A. x=30,y=42

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and ZYX have three congruent interior angles

therefore

Triangles are similar

step 1

Find the value of x

[tex]\frac{ZY}{AB}=\frac{ZX}{AC}[/tex]

substitute the values

[tex]\frac{20}{x}=\frac{12}{18}[/tex]

[tex]x=20*18/12=30\ units[/tex]

step 2

Find the value of y

[tex]\frac{ZY}{AB}=\frac{XY}{CB}[/tex]

substitute the values

[tex]\frac{20}{30}=\frac{28}{y}[/tex]

[tex]y=30*28/20=42\ units[/tex]

To find the equation of a line perpendicular to 5x - 2y = -6 and passing through (5, -4), first determine the slope of the given line and then find the negative reciprocal of that slope. Using point-slope form with the new slope and the given point, the equation is y = - (2/5)x - 2.

To find the equation of the line that is perpendicular to the given line 5x - 2y = -6 and passes through the point (5, -4), follow these steps:

Step 1: Find the slope of the given line

Rewrite the given line in slope-intercept form (y = mx + b):

5x - 2y = -6
-2y = -5x - 6
y = (5/2)x + 3

The slope (m) of the given line is 5/2.

Step 2: Find the slope of the perpendicular line

The slope of the line perpendicular to another is the negative reciprocal. Thus, the slope of the perpendicular line is -2/5.

Step 3: Use the point-slope form

Using the point (5, -4) and the slope -2/5 in the point-slope form (y - y1 = m(x - x1)):

y - (-4) = - (2/5)(x - 5)
y + 4 = - (2/5)x + 2
y = - (2/5)x - 2

Therefore, the equation of the line that is perpendicular to 5x - 2y = -6 and passes through the point (5, -4) is y = - (2/5)x - 2.

Answer:

Step-by-step explanation:

Take home pay = 10*h + 50       I assume the 50 is a flat rate.

Savings = 1/10 of the take home pay.

Savings = (10*h + 50)/10

Answer:

20% decrease.

Step-by-step explanation:

difference over original

50.97-40.78= 10.19

diff/orig=sales tax

10.19 / 50.97= 19.99..

19.99 is approximately 20.