PLEASE SHOW YOUR WORK.


Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).


The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.


Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.

Answer: I think it would still be 4/25. If not I am really sorry.

Step-by-step explanation:

Answer:

2. AB ║ DC - Corresponding Angles Corollary

3. <BCD ≅ <BAD - Alternate Interior Angles Theorem

4.  <D is a right angle. - Given

5. AC = AC - Reflexive Property

6. ΔABC ≅ ΔCDA - ASA Postulate (Angle-Side-Angle)

Answer:

The equation of the straight line is

2 x + y +9=0

Step-by-step explanation:

Step(i):-

Given that the points are ( -1 , -7) and ( -2 , -5)

Slope of the line

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-5-(-7)}{-2-(-1)} = \frac{-5+7}{-2+1} = -2[/tex]

Slope of the line  m = -2

Step(ii):-

The equation of the straight line passing through the point (-1,-7) and having slope m =-2

[tex]y - y_{1} = m( x- x_{1} )[/tex]

y - (-7) = - 2( x-(-1))

y +7 = -2 ( x +1)

y +7 = -2 x -2

2 x + y + 7 + 2 =0

2 x + y +9=0

Final answer:-

The equation of the straight line is

2 x + y +9=0

Answer:

uhh

Step-by-step explanation:

carrot?

Answer:

answer is 7

Step-by-step explanation:

trust me :)

The number of bags of flour bought by Libby is given by A = 7 bags

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of flour bought by Libby = 224 ounces

The amount of flour in each bag = 32 ounces

Let the number of bags be A

So ,  amount of flour in each bag x number of bags = total amount of flour bought by Libby

On simplifying the equation , we get

32A = 224

Divide by 32 on both sides , we get

A = 224/32

A = 7 bags

Therefore , the value of A is 7 bags

Hence , the number of bags is 7 bags

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Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Answer:

Answer is 154

Step-by-step explanation:

We would expect about 490 students to ride the bus to school based on the sample

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.

If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:

Number of students who ride the bus = Proportion who ride the bus x Total number of students

Number of students who ride the bus = 0.5833 x 840

Number of students who ride the bus = 489.99

Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.

Thus,

We would expect about 490 students to ride the bus to school based on the sample

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Answer:

B)   35

Step-by-step explanation:

42x25÷30=35

Answer: (B)35

Step-by-step explanation: the ratio of the lengths of the first rectangle compared to the length of the second is 30:25, or 6:5. Do the same for the width. the first rectangle has a width of 42. divide it by 6, (according to the ratio) which is 7. then multiply it by 5 (also according to the ratio) and you get 35. Hope this helps.

Answer:

Step-by-step explanation:

Kendra has a goal to walk 10 miles in one week.

She has already walked 2 miles on Monday and 3 miles on Tuesday. This means that she has already walked:

= 2 + 3

= 5 miles

If she wants to walk a total of 10 miles with w being the remaining miles, the expressions will therefore be:

w + 5 = 10

or;

10 - 5 = w

Answer:

4 is greater

Step-by-step explanation:

A negative divided by a positive = a negative.

No matter what y is, it will be a negative number.

Meaning, 4 a positive number, will be greater no matter what y is

Answer:

The Correct Answer is 3

Step-by-step explanation:

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

Answer:

9

Step-by-step explanation:

Rearranging, this is the equation x^2 - 6x  = -k. Completing the square, we add 9 to both sides, and x^2 - 6x + 9 = 9 - k. Factoring the left side, we have (x - 3)^2 = 9 - k. In order for this equation to have at least one real solution, the right-hand side must be nonnegative. Thus, we have 9 - k [tex]\geq[/tex] 0 and k [tex]\leq[/tex] 9. Thus, the largest possible value of k is 9.

Answer:

no

Step-by-step explanation:

y=x

Substitute the point into the equation

8=7

This is not a true statement, so the point is not a solution

nahhhhhhhhhhhhhhhhhh

Answer:

The answer is 12.8.

Step-by-step explanation:

0.16 times 80 = 12.8

Complete question :

A dolphin starts at an elevation of -16 3/4 feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of -5 1/4 feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answer:

2 3/10 feets

Step-by-step explanation:

Initial elevation = - 16 3/4 feets

Number of kicks = 5

Increase in elevation is the same for each kick

Final elevation = - 5 1/4 feets

Number of feets, x, dolphin travels per kick ;

Total elevation achieved after 5 kicks : ; change in elevation

Final elevation - initial elevation

16 3/4 - 5 1/4

67 /4 - 21/4

(67 - 21) / 4

= 46/4

Since change in elevation per kick is the same;

Number of feets traveled per kivk is ;

x = 46/4 ÷ 5/1

x = 46/4 * 1/5

x = (46*1) / (4*5)

x = 46/20

x = 2 6/20 = 2 3/10

Dolphin travels 2 3/10 feets per kick

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Answer:

angle p+30=180=

=180-30=150

angle Q+55=180

=180-55=125

angle R+95=180

=180-95=85

Answer:

210 calories : )

Step-by-step explanation:

hope this helps

Answer:

is it never gonna give you up by official rick astley

Answer:

8.5

Step-by-step explanation:

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

Answer:

$2200

Step-by-step explanation:

Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.

Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have

20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.

Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery

alrighty then but yyyyy