The Hernandez family built a backyard patio. The width and length of the patio are whole numbers. What could be the dimensions of the patio if the area is 50 square feet? Pls help me due in 10 min!! Thanks

Answer:

~62%

Step-by-step explanation:

Let n(A) be the number of students signed up for Algebra II.

Given that n(A) = 298

Let n(B) be the number of students signed up for Chemistry.

Given that n(B) = 328

n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.

n(A [tex]\cup[/tex] B) = 386

Formula for n(A [tex]\cup[/tex] B):

n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)

Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.

Putting the values in the formula above:

386 = 298 + 328 - n(A [tex]\cap[/tex] B)

n(A [tex]\cap[/tex] B) = 240

Formula for Probability of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]

[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]

Hence, the required probability is ~62%

The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.

Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry

So here the no of students that signed up for both subjects should be

= 298 + 328 - 386

= 240

Now the probability is

[tex]= 240\div 386[/tex]

= 62%

Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.

Learn more about probability here: https://brainly.com/question/16923992

Answer:

I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:

y = 1x+5, you spelled 1 wrong so I just correct it.

Answer:

0.965925826

0.258819045

Step-by-step explanation:

→If you were to calculate [tex]sin(75)[/tex], you would have a total of:

0.965925826

→If you were to calculate [tex]cos(-75)[/tex], you would have a total of:

0.258819045

Answer:

See below.

Step-by-step explanation:

Alexi originally has $43 in his bank account and deposits $7 per week.

Week 1: $50

Week 2: $57

Week 3: $64

Week 4: $71

Week 5: $78

The pattern is that it increased $7 every week starting from $43.

A pattern rule would be: y = 7x + 43 where x represents the number of weeks.

Answer:

2 imaginary solutions

Step-by-step explanation:

Answer:

540 degrees

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

2 times

Step-by-step explanation:

Answer:

$123.45+$36.55

= $160

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The correct answer is CPI. It shows the average price over time paid by consumers.

Hope this helps! (Please consider giving brainliest)

P.S: This is not a mathematics question.

The economic indicator measures inflation among the options given is: C. unemployment rate

CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.

Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.

Therefore, the answer is: C. unemployment rate

Learn more about inflation on:

https://brainly.com/question/21586910

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Answer:49882

when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in

5 0 9

× 9 8

45810. this is from multiplying with the nine

+ 4062. this is from multiplying with the right

49882 this is the answer

u had to add the two answer and that's how I got 49882

Step-by-step explanation:

tan(37) = x/3

x=tan(37)*3

Answer:

A. 6 x + 5

B. 2 x + 6

C. 8 x - 2

D. 5 x - 8

Step-by-step explanation:

Given: division expressions

To find: quotient of each of the division expressions

Solution:

Use formula: [tex]\left ( \frac{x^m}{x^n} \right )=x^{m-n}[/tex]

A.

[tex]\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5[/tex]

B.

[tex]\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6[/tex]

C.

[tex]\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2[/tex]

D.

[tex]\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8[/tex]

Answer:

A.[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]

B.[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]

C.[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]

D.[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]

Step-by-step explanation:

A.[tex]\frac{18x^2+15x}{3x}[/tex]

[tex]\frac{3x(6x+5)}{3x}[/tex]

=[tex]6x+5[/tex]

[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]

B.[tex]\frac{16x^2+48x}{8x}[/tex]

=[tex]\frac{16x(x+3)}{8x}[/tex]

[tex]=2(x+3)[/tex]

[tex]=2x+6[/tex]

[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]

C.[tex]\frac{56x^2-14x}{7x}[/tex]

[tex]=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2[/tex]

[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]

D.[tex]\frac{20x^2-32x}{4x}[/tex]

=[tex]\frac{4x(5x-8)}{4x}=5x-8[/tex]

[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]

Answer:

-9

Step-by-step explanation:

9=b-2b

9=-b

divide both sides by -

b=-9

Answer:

[tex] \boxed{b = 9} [/tex]

Step-by-step explanation:

[tex] = > 2b + 9 = b \\ \\ = > 2b - b + 9 = 0 \\ \\ = > b + 9 = 0 \\ \\ = > b = - 9[/tex]

Answer:

X=7

Step-by-step explanation: I

63-14=7x

7x=49

x=7

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7  = 21

-98/21 + y = 9/21

what should be added to -98 to make 9?

answer: 107

therefore answer: 107/21

Hope this helps.

Good Luck

Answer:

18, if im correct...

Step-by-step explanation:

I'm pretty sure you would multiply the 6 options (for each die side) by the 3 options (rock, paper, or scissors) together.

so 6*3=18

Answer:

Step-by-step explanation:(2ñ-4)90

(7×2-4)90

=900°

900-(162+125+148+105+98+115)

900-753

=147°

Answer:

-136x

Step-by-step explanation:

Pls brainliest

Answer:

442

Step-by-step explanation:

Answer:

x = 1.5 when y = 3

Step-by-step explanation:

You can put this in a ratio:

x    :    y

5    :   10

1.5  :    3

x is 1.5 when y is 3.

Answer: 4

Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4

The scale factor for the given dilation is 3

Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.

If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as :  (x, y) → (k x, k y).

The scale factor ,k  = coordinate of image / coordinate of original

Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure

Scale Factor = coordinate of image / coordinate of original

                    = OA' / OA = 9/3 = 3

Therefore, the scale factor for the given dilation is 3.

Also, Learn more about dilation from the link given below:

https://brainly.com/question/17062921

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Answer: He scored 7 marks

Step-by-step explanation:

Correct answer gets +5, so 5 * 3 = 15

Incorrect answer gets -2 so -2 * 4 = -8

So he scored 15 - 8 = 7

Answer:-5-1 c

Step-by-step explanation:

Answer:

39.0953=39cm2

Step-by-step explanation:

Minor arc =70

Angle of arc=70

Then this sector =70/360=7/36 of the circle

Then area = 7/36x3.14x8x8=39cm2 approximatly

Answer:

x = -2

y = 3

Step-by-step explanation:

You are given a system of two linear equations:

-2x + 3y = 13

3x + 4y = 6

One of the good ways to solve this system is trying to eliminate one variable (x or y), calculate the remaining variable and substitute the calculated variable back into system to solve for eliminated variable.

Here, we will manipulate the original system, so that we can easily eliminate x.

Let's multiply both sides of the first equation by 3 and the second equation by 2 (this manipulating step does not change the original system of equations).

3*(-2)x + 3*3y = 3*13

2*3(x) + 2*4y = 2*6

<=>

-6x + 9y = 39

6x + 8y = 12

Now, we add up two equations, left side + left side, right side + right side, we obtain:

-6x + 9y + 6x + 8y = 39 + 12

or

17y = 51

We divide both sides of equation by 17, to get y.

=> y = 51/17 = 3

Substitute y = 3 back into the first equation of system (or the second equation, it doesn't matter, here we choose the first one).

=> -2x + 3*3 = 13

=> -2x + 9 = 13

=> -2x = 4

=> x = -2

=> The solution of this system is (x, y) = (-2, 3)

Hope this helps!

:)

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = [tex]\frac{1}{2}(11+12)\times 6[/tex]

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = [tex]\frac{1}{2}(12+10)\times 11[/tex]

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = [tex]\frac{\text{Total area}}{\text{Area covered by one tin}}[/tex]

= [tex]\frac{370}{25}[/tex]

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

Answer:

-39 is less than or equal to C

Step-by-step explanation:

39 is greater or equal to -C

-39 is less than or equal to C

Answer:

area- 36.07 cm^2

perimeter- 28cm

Step-by-step explanation:

1) we could break the composite shape into 2 seperate shapes:

1 shape- measuring 3.1 by 3.4 cm

2nd shape- measuring (3.1)+(3.8)cm by 3.7 cm

since both shapes are rectangles we can find area by multiplying length and width

so 3.1*3.4=10.54

and 3.1+3.8=6.9

6.9*3.7=25.53

we can add both areas up to get TOTAL area of figure:

25.53+10.54=36.07

area- 36.07 cm

to find perimeter: there are 2 unknown sides in this figure, the bottom side length can be found out by adding 3.1 and 3.8, which is 6.9 and the side adjacent to the bottom one can be found by adding 3.4 and 3.7, which is 7.1

now we add up all the numbers: 3.1+3.4+3.8+3.7+6.9+7.1= 28

28 cm

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Isolate h by dividing both sides by πr²

[tex]\frac{V}{\pi r^2}[/tex] = h → C