Yhe length of a rectangler garden is four times its width w plus 3 feet. Ehich expression represnts the garden length in feet

Answer:

The length has increased by a factor of 4/3 or 1 1/3

Step-by-step explanation:

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

Answer:

B (169)

Step-by-step explanation:

Answer:

1445

Step-by-step explanation:

hey

[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.

Two or more expressions with an Equal sign is called as Equation.

we need to find the equation which gives a=[tex]1\frac{1}{2}[/tex]

Convert the mixed fraction to the improper fraction

a=3/2

[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex]

Convert the mixed fraction to the improper fraction

25/6+a=17/3

Now take the variable on one side and constants on other sides

a=17/3-25/6

LCM of 3 and 6 is 6

a=34-25/6

a=9/6

The numerator and denominator are multiples of 3.

a=3/2

Hence, [tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.

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Answer:

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

Step-by-step explanation:

Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]

Points are R(-1,10),S(5,4)and T (-4,-2).

Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]

Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]

Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]

Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]

Answer:

T_n = 160(0.05)^(n - 1)

At T_n = 100, n = 1 year

Step-by-step explanation:

We will use geometric progression to solve this question.

Formula for nth term of a GP is;

T_n = ar^(n - 1)

We are told the population of its high school decreases by 5% each year.

This means r = 0.05

senior class has 160 students. Thus a = 160

Thus,T_n = 160(0.05)^(n - 1)

Where n is number of years after now.

We want to find the number of years before the class will have 100 students

Thus;

160(0.05)^(n - 1) = 100

(0.05)^(n - 1) = 100/160

(n-1)In 0.05 = In (100/160)

-2.9957(n - 1) = -0.47

(n - 1) = 0.47/2.9957

n = 1 + 0.1569

n = 1.1569

Approximating to the nearest whole number gives n = 1

Answer:

(a+4)^2

Step-by-step explanation:

Answer:

hope help you stay happy

Answer:

The interest is $1242.734 and the amount is $13242.734.

Step-by-step explanation:

STEP 1: Convert interest rate of 1.5% per month into rate per year.

STEP 2: Convert 210 days into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example P = $12000, i = 18% and t = 0.57534 years, so

STEP 4: Find an amount by using the formula .

Since P = $12000 and I = $1242.734 we have

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

Answer:

3/5

Step-by-step explanation:

PLZ MARK AS BRAINLIEST

To find the product of 2/3 and 9/10, multiply the numerators and denominators together: [tex]\frac{2}{3} * \frac{9}{10} = \frac{18}{30}.[/tex] This simplifies to [tex]\frac{3}{5}[/tex], which is the answer.

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

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Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20

The second one: [tex]11^{1}[/tex]= 11

The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4

Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60,  [tex]11^{1}[/tex],  [tex]2^{2}[/tex] x 5

Hope it helped, good luck!!

Answer:

n exponent 5

Step-by-step explanation:

Answer:

[tex]n ^{5} [/tex]

inequalities Calculator weeb

Answer:

10

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Edge 2021

Answer:

the sum of interior angles of a quadrilateral = 360 degree

Step-by-step explanation:

therefore,

let the angle C be X

124 + 96 + 94 + X = 360

314 + X = 360°

X = 360 - 314 = 46°

angle C = 46°

Answer:

46 degrees

Step-by-step explanation:

Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

4πd2=1

4·π·42≈12.56637cm²

Answer:

area of a circle with a diameter of 4cm=π(d/2)²

=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²

Answer: Each girl gets 7/8 or 0.875 of the sandwich .  

Step-by-step explanation:

Number of sandwiches = 7

Number of people to share = 8

Therefore  Each girl gets =  7 ÷ 8= 7/ 8

Each girl gets 7/8 or 0.875 of the sandwich .  

Answer:

60

Step-by-step explanation:

50%=.50

160×.50=80

160+80=240

25%=.25

240×.25=60

60 is the final number

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

  [1]    5x + 2y = 4

  [2]    3x + 6y = -12

Graphic Representation of the Equations :

   2y + 5x = 4        6y + 3x = -12  

// Solve equation [2] for the variable  y  

 [2]    6y = -3x - 12

 [2]    y = -x/2 - 2

// Plug this in for variable  y  in equation [1]

  [1]    5x + 2•(-x /2-2) = 4

  [1]    4x = 8

// Solve equation [1] for the variable  x  

  [1]    4x = 8  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = -x/2-2

// Use the  x  value to solve for  y  

   y = -(/2)(2)-2 = -3  

Answer:

x=-7

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5+3x-37=6x+23-8x

add like terms

-32+3x=-2x+23

add 2x to both sides

-32+3x+2x=23

add 32 to both sides

3x+2x=23+32

add like terms

5x=55

divide by 5 on both sides

x=11

Answer:

It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.

  2 is a zero of the expression

Answer:

There are 10 hours and 45 minutes until the bus leaves.

Answer:

In between the 10pm to 8 am =10 hours

In between the gap of 9:45 to 10 pm =15 min left

In between 8 and 8:30 am =30 min left

So 10hr and 45 min is the answer