A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

Answer:

20. bcg

21. 124

Step-by-step explanation:

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

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Answer:

(A)It is neither unlikely nor likely

Step-by-step explanation:

answer is b

hope this helps

Answer: B.

Step-by-step explanation: took the quiz.

The functions are given below.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graphs of the three functions are shown below.

The parabolic function is given as

y = -(x + 1)² + 9

The mode function is given as

y = - |x + 2| + 10

And the logarithm function will be

y = 1.5 log(x - 1)

More about the function link is given below.

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Answer: A, B, D

Step-by-step explanation:

Just took the instruction. Edge 2023

Answer:

6.5

Step-by-step explanation:

dude you can search this up

6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer:

gracias por lo 20 puntos

Step-by-step explanation:

Answer:

B. or the second one

Step-by-step explanation:

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

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

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

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

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Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

Answer:

<2=107

Step-by-step explanation:

Alternate interior angles are congruent they have equal measure

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Answer:

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

First coin     Second coin             outcome

H               T                               HT

T               H                               TH

T               T                                TT

Answer:

[tex]z=\frac{0.48-0.59}{\sqrt{\frac{0.59(0.41)}{100}}}[/tex]

Step-by-step explanation:

The z score in terms of the null hypothesis and surveyed statistic is in the form [tex]z=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}[/tex], (similar to [tex]z=\frac{x-\mu}{\sigma}[/tex]) where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and [tex]\hat{p}[/tex] is the statistic (in this case, 0.48). Finally, [tex]n[/tex] is the sample size, 100. Substitute in your values, and you get the above answer.

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

A local elementary school claims that 59% of its students bring their own lunch on a daily basis.

The z score in terms of the null hypothesis and surveyed statistic is in the form,

[tex]\frac{P-P_0}{\sqrt{P_0(1-P_0)/n} }[/tex]

where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and P is the statistic (in this case, 0.48)

Finally,  is n the sample size, 100.

Substitute in your values, and you get the above answer,

[tex]Z=\frac{0.40-0.59}{\sqrt{\frac{0.59(0.41}{100} } }\\ \\=-3.8630[/tex]

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

To learn more about the static calculation visit:

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Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!