Example on how to solve

[tex]\\ \rm\Rrightarrow 2x+2y=28[/tex]

[tex]\\ \rm\Rrightarrow x+y=14[/tex]--(1)

And

[tex]\\ \rm\Rrightarrow (x-y)^2=(x+y)^2-4xy[/tex]

[tex]\\ \rm\Rrightarrow (x-y)^2=14^2-4(45)=196-180[/tex]

[tex]\\ \rm\Rrightarrow (x-y)^2=16[/tex]

[tex]\\ \rm\Rrightarrow x-y=4[/tex]--(2)

Adding (1) and (2)

And

Answer:

B) 9 in x 5 in

Step-by-step explanation:

Let W = width of rectangle

Let L = length of rectangle

Area of a rectangle = WL

Perimeter of a rectangle = 2W + 2L

Given area = 45 and perimeter = 28:

⇒ WL = 45

⇒ 28 = 2W + 2L

Rewrite 28 = 2W + 2L to make W the subject:

⇒ 2W = 28 - 2L

⇒ W = 14 - L

Substitute W = 14 - L into WL = 45 and solve for L:

⇒ (14 - L)L = 45

⇒ 14L - L² = 45

⇒ L² -14L + 45 = 0

⇒ (L - 9)(L - 5) = 0

⇒ L = 9, L = 5

Substitute found values of L into W = 14 - L and solve for W:

⇒ W = 14 - 9 = 5

⇒ W = 14 - 5 = 9

As width < length, length = 9 in and width = 5 in

Answer:

a) 44

b) 84

Step-by-step explanation:

210/60 = space for every child (3.5m)

For a 154m^2 ground, 154/3.5 = 44

b) I’m not sure but I think it is 24*3.5 = 84

Answer:

you earn 8.50 an hour

he has 288 inches of fabric

Step-by-step explanation:

Answer:

1. Kevins unit rate is $8.50 per hour

To find the unit rate, we need to divide 6 by 51. 51/6 = 8.50 Kevin earns $8.50 per hour

2.  there are 288 inches in 8 yards so tony has 288 inches of fabric.

1 yard is 36 inches 8 * 36 is 288

Step-by-step explanation:

Step-by-step explanation:

i hope its clear enough and that it helps

Here's a pic. hope it helps

Answer:

this is the answer I came up with hope this helps

Answer:

E. The absolute value and square root function share an x-intercept.

Step-by-step explanation:

Pre-Calc on Edge 2022

The square prism would contain more seed than the cone because it has a larger volume.

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of cone = (1/3) * π * radius² * height = (1/3) * π * 2.5² * 10 = 65.45 cm³

The volume of square prism =  base² * height = 5² * 2.5 = 62.5 cm³

The square prism would contain more seed than the cone because it has a larger volume.

Find out more on Volume at: https://brainly.com/question/1972490

Answer:

Length of rectangular lawn =72 meters

Breadth of rectangular lawn =18 meters

Perimeter of rectangle =2(Length+Breadth)

So, Perimeter of rectangle =2(72+18)=2(90)=180 meters

If three shrubs can be planted in a meter of hedge.

Then, Number of shrubs planted in whole perimeter will be=3×180=540

Step-by-step explanation:

Answer:2/16

Step-by-step explanation:

~Shoto Todoroki here~

Answer:

hope this helps :))

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{2}{1+e^{-2} }[/tex] ← evaluate [tex]e^{-2}[/tex] using calculator

= [tex]\frac{2}{1+0.135}[/tex]

= [tex]\frac{2}{1.135}[/tex]

= 1.762.....

≈ 1.8 ( to 1 dec. place )

Answer:

x would equal 1/4

x = 1/4

Step by step:

1. Distribute the equation on the left 4(2x+2). That would equal 8x+8 when you multiply 4 · 2x and 4 · 2

2. Rearrange the terms for the equation on the left side 8(2-3x). It should be 8(-3x+2)

3. Now distribute the left side. 8(-3x+2) = -24x+16

4. Now subtract 8 from both sides of the equation ( 8x+8-8 ) = (-24x+16-8)

You should get 8x= -24x+8

5. Now add 24x to both sides ( 8x+24x = -24x+8+24x )

6. Combine the like terms (8x+24x = 32x = 8)

7. Divide both sides by 32. 32/32 and 8/32

And that should get you 1/4

Hope the explanation helped

Answer:

x = 0.25

Step-by-step explanation:

The first step for this problem is  to multiply (2x+2) by 4 and (2-3x) by 8:

4(2x+2) = 8x+8

8(2-3x) = 16-24x

The equation becomes: 8x+8 = 16-24x

The second step for this problem is to move the terms with x to one side of the equals sign, and to move the terms without x to the other side.

8x+8 = 16-24x

8x+24x = 16-8

The third step is to combine like terms.

8x+24x = 32x

16-8 = 8

The equation becomes 32x = 8

The final step is to divide 8 by 32 to isolate the x:

32x = 8

x = 8/32 = 1/4 = 0.25

Answer:

x = 16

Angle p = 50°

Angle q = 40°

Step-by-step explanation:

"complementary" means the angles add up to 90°.

So,

3x+2 + 3x-8 =90

combine like terms.

6x - 6 = 90

add 6

6x = 96

divide by 6

x = 16

If x = 16,

then Angle p=

3x + 2

= 3(16) + 2

= 48 + 2

= 50

Angle p = 50°

And,

Angle q

= 3x - 8

= 3(16) - 8

= 48 - 8

= 40

Angle q = 40°

Check:

40° + 50° = 90°

The probability that the combination starts with 2 is 1/3

Probability is the likelihood or chance that an event will occur.

Probability = expected/total outcome

The total outcome  = 3! = 6

The expected outcome if the combination starts with 2 is given as 2! = 2

Pr(the combination starts with 2) = 2/6 = 1/3

Hence the probability that the combination starts with 2 is 1/3

Learn more on probability here: https://brainly.com/question/25870256

Answer:

Step-by-step explanation:

25) hypotenuse² = base² + altitude²

                            = 10² + 8²

                            = 100 + 64

                            = 164

hypotenuse = √164 = 12.8

Perimeter = 10  +8 + 8 + 12.8 + (12.8 -10)

                 = 10 + 8 + 8 + 12.8 + 2.8

                 = 41.6

Answer:

68×32= 2176

Step-by-step explanation:

Answer:

y = 45 + 5(x - 5)

where y is the total cost of the ad, and x is the total number of lines in the ad

Step-by-step explanation:

Let x = number of lines in the ad

Let y = total cost

If the cost of the ad is $45 for the first 5 lines and $5 for each additional line then the expression for the total cost of the ad is:

y = 45 + 5(x - 5)

Answer:

equation: y = 5(x-5) + 45

Explanation:

Here "y" represents the total money earned. "x" represents the earning from additional line. the constant variable is "45" and does not change.

Answer:

m=-2

Step-by-step explanation:

You want to isolate the variable on one side (m).

Divide each side by 7.

m+5=3

Subtract 5 from both sides

m=-2

Answer:

m = -2.

Step-by-step explanation:

First divide both sides by 7; m + 5 = 3.

Then subtract 5 from both sides; m = -2.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-6}{5+5}\implies \cfrac{-6}{10}\implies -\cfrac{3}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{3}{5}}(x-\stackrel{x_1}{(-5)}) \implies y-1=-\cfrac{3}{5}(x+5) \\\\\\ y-1=-\cfrac{3}{5}x-3\implies y=-\cfrac{3}{5}x-2[/tex]

Answer:

Step-by-step explanation:

The given formula can be used to find the area when the radius is known.

  r = 3, A = 3²π = 9π

  r = 1/2, A = (1/2)²π = 1/4π

The formula can be solved to give the radius when the area is known:

  r = √(A/π)

  A = 16π, r = √(16π/π) = 4

  A = 100π, r = √(100π/π) = 10

Based on the amount of money that Randy has more than Sandy and Mandy, the amount that Sandy has is $1,728.

First find out how much Randy has.

This can be found as:

= Amount that Mandy has x ( 1 + 20%)

= 1,800 x 1.2

= $2,160

The amount that Sandy has is:

= Amount Randy has / ( 1 + 25%)

= 2,160 / 1.25

= $1,728

In conclusion, Sandy has $1,728.

Find out more on percentages at https://brainly.com/question/990406.

Answer:

  the value of hi changes from 58 to 0:

  h(t) = -4.9t^2 +19.8t

Step-by-step explanation:

If the initial height changes, then the term in the equation that represents that height will change. The initial height term is hi, so it changes from 58 to 0.

  [tex]h(t)=-4.9t^2+19.8t+0\\\\\boxed{h(t)=-4.9t^2+19.8t}[/tex]

Answer:

[tex]f(g(x))=x[/tex]

[tex]g(f^{-1}(x))=\dfrac{-1}{x-1}[/tex]

[tex]g^{-1}(x)=\dfrac{1}{1-x}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{1}{1-x} \ \ \textsf{and} \ \ g(x)=\dfrac{x-1}{x}[/tex]

[tex]f(g(x))=\dfrac{1}{1-(\frac{x-1}{x})}[/tex]

[tex]\implies f(g(x))=\dfrac{1}{\frac{x}{x}-\frac{(x-1)}{x}}[/tex]

[tex]\implies f(g(x))=\dfrac{1}{\frac{x-x+1}{x}}[/tex]

[tex]\implies f(g(x))=\dfrac{1}{\frac{1}{x}}[/tex]

[tex]\implies f(g(x))=x[/tex]

[tex]x=\dfrac{1}{1-y}[/tex]

[tex]\implies 1-y=\dfrac{1}{x}[/tex]

[tex]\implies y=1-\dfrac{1}{x}[/tex]

[tex]\implies f^{-1}(x)=1-\dfrac{1}{x}[/tex]

[tex]g(f^{-1}(x))=1-\dfrac{1}{1-\frac{1}{x}}[/tex]

[tex]\implies g(f^{-1}(x))=1-\dfrac{1}{\frac{x-1}{x}}[/tex]

[tex]\implies g(f^{-1}(x))=1-\dfrac{x}{x-1}[/tex]

[tex]\implies g(f^{-1}(x))=\dfrac{x-1-x}{x-1}[/tex]

[tex]\implies g(f^{-1}(x))=\dfrac{-1}{x-1}[/tex]

[tex]x=\dfrac{y-1}{y}[/tex]

[tex]\implies xy=y-1[/tex]

[tex]\implies 1=y-xy[/tex]

[tex]\implies 1=y(1-x)[/tex]

[tex]\implies y=\dfrac{1}{1-x}[/tex]

[tex]\implies g^{-1}(x)=\dfrac{1}{1-x}[/tex]

Amount of money made by adult ticket = 10x

Amount of money made by student ticket = 5y

Total amount made = 10x + 5y

Hope that helps!

y represents the number of  adults

x represents the number of students

THIS IS AN EXPRESSION SO THERE IS NO EQUAL SIGN!!!

ANSWER:   10y+5x

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  [tex]X_i[/tex]  and [tex]Y_j[/tex]  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The missing frequency table is attached below. If we name events as:

Then, the needed probability is P(B|A) (as it is already specified that the person would be older than 35 years.)

Using the table, we get:

[tex]P(A) = \dfrac{\text{Total person who are older than 35 years age}}{\text{Total person in survey}}\\\\P(A) = \dfrac{162}{429} \approx 0.3776[/tex]

Using the table, we get the value on the place where A and B both occur(when person selected is older than 35 years and have hemoglobin between 9 and 11 ) as:

[tex]n(A \cap B) = 162 - 40 - 76 = 46[/tex]

Thus, we get:

[tex]\\\\P(A\cap B) = \dfrac{\text{Total person older than 35 years age and have hemoglobin level between 9 and 11}}{\text{Total person in survey}}\\\\P(A \cap B) = \dfrac{46}{429} \approx 0.1072[/tex]

Using the chain rule, we get:

[tex]P(B|A)P(A) = P(A\cap B)\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.1072}{0.3776} \approx 0.284[/tex]

Thus, the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

Learn more about probability here:

brainly.com/question/1210781

Answer:

Step-by-step explanation:

A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?

Area = s * s ( side x side or side²)

(2s + 5) * (2s + 5)

or

(2s + 5)²

Answer:

\overline{OQ}

OQ

​

. Given OQ=2x,OQ=2x, OP=x,OP=x, and PQ=10,PQ=10, determine \overline{OQ}.

Oq

Answer:

residents that read at least two newspapers is 9,600

residents that read exactly one newspaper is 9,200

Step-by-step explanation:

Add up the percentages of a certain group of people from the venn diagram then find that percentage from the number 20,000

Answer:

B. Caleb's experiment had 100 bacteria and Jenna's experiment had 2500 bacteria.

Step-by-step explanation:

[tex]\displaystyle Jenna \hookrightarrow 2500 = 50^2 \\ Caleb \hookrightarrow 100 = [2][50][/tex]

Take a clocer look at the keywourds next to each name. When you square a quantity, you duplicate and multiply it, but when you double a quantity, you multiply by two.

I am joyous to assist you at any time.