pls help! will mark branliest!!! :)

The Smith family wants to build an addition to the back of their house as shown in the figure below. The area of the addition is (x²+10x-200) ft².


a) What is the length of the addition?

b) What is the area of the original house?

Answer:

4

Step-by-step explanation:

First you add all of the numbers one the first line and divide it by that amount of dots there are. In our case, 10.

Do the same thing to the bottom and then find the difference.

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]\frac{24}{3x-3} =\frac{44}{5x}[/tex]

[tex]\frac{8}{x-1} =\frac{44}{5x}[/tex]

[tex]44(x-1)=8(5x)[/tex]

[tex]44x-44=40x[/tex]

[tex](44-40)x=44[/tex]

[tex]4x=44[/tex]

[tex]x=11[/tex]

Hope this helps!

Answer:

60.4% increase

Step-by-step explanation:

To find the percentage of increase you use the following formula:

[tex]\frac{Final Value - Starting Value}{Starting Value } * 100[/tex]

Hope this was helpful!

Answer:

x = 45

Step-by-step explanation:

Re-order terms so constants are on the left
15 * x/9 - 42 =28

Combine multiplied terms into a single fraction
15x/9 - 42 = 28

Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28

Answer:

awnser is A

Step-by-step explanation:

Multiply all sides by 2 then add then up and you get 432.

Answer:

The choice C.94

Step-by-step explanation:

[tex]2(3( {4}^{2} + 1)) - {2}^{3} \\ \\ 2(3(16 + 1)) - 8 \\ \\ 2(3(17)) - 8 \\ \\ 2(51) - 8 \\ \\ 102 - 8 = 94[/tex]

Answer:

94

Step-by-step explanation:

2[3(4^2+1)] -2^3

2[3×(16+1)] -2^3

2[3×17] -8

2(51) -8

102-8

=94

Hope this helps

Answer:

15 feet

Step-by-step explanation:

The area of a rectangle is length × width = area. We're given the area as 285 square feet, and the width as 19 feet.

Now, we divide 285 by 19.

Thus, the answer is 15 feet.

3.4 * 10⁷ more people voted in 2012 than they voted in 1996.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that the voter turnout in 1996 was approximately  9.6 x 10⁷ in 2012 the voter turnout was 1.3 x 10⁸, hence:

Difference in turn out = 1.3 x 10⁸ - 9.6 x 10⁷ = 3.4 * 10⁷

3.4 * 10⁷ more people voted in 2012 than they voted in 1996.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

36%

Step-by-step explanation:

If there are 100 squares of equal size

There are 36 squares that are shaded

36 out of 100 as a percentage is 36%

Answer:

36%

Step-by-step explanation:

First, count how many squares there are. There are 36 shaded squares according to my count.

Then, since we are trying to find what percent 36 is out of 100, we divide the part (P) by the total (T).

36/100= 0.36

Multiply that number by 100 and you have your percentage!

Natural selection can cause microevolution (change in allele frequencies), with fitness-increasing alleles becoming more common in the population.

Fitness is a measure of reproductive success (how many offspring an organism leaves in the next generation, relative to others in the group).

Natural selection can act on traits determined by alternative alleles of a single gene, or on polygenic traits (traits determined by many genes).

Natural selection on traits determined by multiple genes may take the form of stabilizing selection, directional selection, or disruptive selection.

All of these mechanisms can make a population evolve, or change its genetic makeup over generations.

But there's one mechanism of evolution that's a bit more famous than the others, and that's natural selection. What makes natural selection so special? Out of all the mechanisms of evolution, it's the only one that can consistently make populations adapted, or better-suited for their environment, over time.

You may have already seen natural selection as part of Darwin’s theory of evolution. In this article, we will dive deeper – in fact, deeper than Darwin himself could go. We will examine natural selection at the level of population genetics, in terms of allele, genotype, and phenotype frequencies.

To know more about natural selection click the link given below.

https://brainly.com/question/11694349

Answer:

[tex]\angle 3[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

A. 9 vertically and -3 horizontally

Explanation:

shifts 9 ↑ vertically upwards so positive.

shifts -3 ← horizontally towards left so negative.

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

Answer:

9 vertical and -3 horizontal

Step-by-step explanation:

So, lets take a coordinate from block 1. Choice: (-2, -7)

Lets take the coordinate from the same point on block 2. Choice: (-5,2)

Now lets find the difference.

The difference between x1 and x2 is the difference between -2 and -5, which is -3.  Since to go from -2 to -5 you go down -3.

This is a horizontal translation of -3

The difference between y1 and y2 is the difference between -7 and 2, which is 9. Since to go from -7 to 2 you go up 9.

This is a vertical translation of 9

So the answer is:

9 vertical, -3 horizontal

Hope this helps! :3

[tex]h(n) - g(n) = (n+2)-(2n + 1) = n + 2 - 2n -1 = -n + 1[/tex]

Hope that helped!

[tex]\\ \rm\rightarrowtail h(n)-g(n)[/tex]

[tex]\\ \rm\rightarrowtail n+2-2n-1[/tex]

[tex]\\ \rm\rightarrowtail n-2n+2-1[/tex]

[tex]\\ \rm\rightarrowtail 1-n[/tex]

Answer:21:)

Step-by-step explanation:

9

9.1

9.2

[tex]\sqrt{83} = 9.11[/tex] (you can get testing different values of 9)

Thus the order from least to greatest

9, 9.1, [tex]\sqrt{83}[/tex] , 9.2

Answer:

Was the park administrator girl? I have never seen a Female park adminstrator especially one who is counting people who bring dogs.

well i think she should use a machine or ask the gaurd and give extra salary to him for counting.

Answer:

5/10, 7/12, 4/6

Step-by-step explanation:

We can simplify fractions and then convert them to a common denominator

4/6 = 2/3 = 8/12

7/12 cannot be simplified

5/10 = 1/2 = 6/12

We can see, that the order is 6/12, 7/12, 8/12. Now we change it back to its original numbers, 5/10, 7/12, 4/6

Hope this helps :)

Have a nice day!

Answer:

If x = 9, 5/2, 4, 8. Doesnt that mean that the value of x can be any of those?

Step-by-step explanation:

Answer:

I can give you an answer once there is an equation

Answer:

20%, or 4 questions

Step-by-step explanation:

16 / 20 or 8 / 10 = 80%

What's left over?

100 - 80 = 20

20%

Answer:

  1.395 hours

Step-by-step explanation:

Time is proportional to distance, and inversely proportional to speed. The relationship is ...

  time = distance/speed

For the given speed and distance, the time is ...

  time = (60 mi)/(43 mi/h) = 60/43 h ≈ 1.395 h

At 43 mph, it will take about 1.395 hours to travel 60 miles.

Answer:

[tex]\dfrac{59}{15}=3 \frac{14}{15}[/tex]

Step-by-step explanation:

Convert the mixed number into an improper fraction:

[tex]3 \frac35=\dfrac{3\times5+3}{5}=\dfrac{18}{5}[/tex]

Now convert fractions so that their denominators are the same:

[tex]\implies \dfrac{18}{5}+\dfrac13=\dfrac{18\times3}{5\times3}+\dfrac{1 \times5}{3 \times 5}=\dfrac{54}{15}+\dfrac{5}{15}[/tex]

As the denominators are now the same, we can simply add the numerators:

[tex]\implies \dfrac{54}{15}+\dfrac{5}{15}= \dfrac{54+5}{15}=\dfrac{59}{15}[/tex]

Now convert back into a mixed number (if required):

[tex]\implies \dfrac{59}{15}=3 \frac{14}{15}[/tex]

Answer:

3 14/15

Step-by-step explanation:

Separate the numbers between their round numbers and fractions: 3 and 3/5, 0 and 1/3.

The round number parts: 3 + 0 = 3

The fraction parts:

3/5 + 1/3

= 3*3/5*3 + 5/5*3

= 9/15 + 5/15

= (9 + 5)/15

= 14/15

Combining the two parts: 3 3/5 + 1/3

= 3 14/15

Answer:

[tex]2^2=4[/tex]

Step-by-step explanation:

[tex](3^8 \cdot 2^{-5} \cdot 9^0)^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]

Using exponent rule [tex]a^0=1[/tex]

[tex]\implies (3^8 \cdot 2^{-5} )^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]

Using exponent rule [tex](a^b \cdot a^c)^d=(a^{bd} \cdot a^{cd})[/tex]

[tex]\implies 3^{(8\times-2)} \cdot 2^{(-5\times-2)} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]

Using exponent rule  [tex]\left(\dfrac{a^b}{a^c}\right)^d=\left(\dfrac{a^{bd}}{a^{cd}}\right)[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{(-2\times4)}}{3^{(3\times4)}}\right) \cdot3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-8}}{3^{12}}\right) \cdot3^{28}[/tex]

Rewrite as one fraction:

[tex]\implies \dfrac{3^{-16} \cdot 2^{10} \cdot2^{-8}\cdot3^{28}}{3^{12}}[/tex]

Using exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies \dfrac{3^{(-16+28)} \cdot 2^{(10-8)}}{3^{12}}[/tex]

[tex]\implies \dfrac{3^{12} \cdot 2^{2}}{3^{12}}[/tex]

Cancel the common factor [tex]3^{12}[/tex]

[tex]\implies 2^2[/tex]

[tex]\implies 4[/tex]

Answer:

1. angle 2 = 53 degree

2.angle 3=127 degree

3. angle 4 =53 degree

4.angle 5 =127 degree

5.angle 6=53 degree

6.angle 7 =127 degree

7.angle 8=53 degree

Answer:

6+3(f)=18

6+3f=18

3f=12

f=4

Step-by-step explanation:

Answer:

10 meters²

Step-by-step explanation:

Method 1 ~

This method adds the triangle with the two rectangles.

----------------------------------------------------------------------------------------------------------

First find the area of the largest rectangle ~

Width = 4 meters - 2 meters = 2 meters

Length = 3 meters

Area = Width × Length = 2 meters × 3 meters = 6 meters²

Then find the area of the second rectangle ~

Width = 1 meter

Length = 2 meters

Area = Width × Length = 1 meter × 2 meters = 2 meters²

Then find the area of the triangle ~

Base = 3 meters - 1 meter = 2 meters

Height = 2 meters

Area = [tex]\frac{bh}{2}[/tex] = [tex]\frac{2*2}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 meters²

Finally, add the triangle and the two rectangles together ~

6 meters² + 2 meters² + 2 meters² = 10 meters²

Method 2 ~

This method subtracts the triangle from the whole rectangle.

----------------------------------------------------------------------------------------------------------

First find the area of the rectangle ~

Width = 3 meters

Length = 4 meters

Area = Width × Length = 3 meters × 4 meters = 12 meters²

Then find the area of the triangle ~

Base = 3 meters - 1 meter = 2 meters

Height = 2 meters

Area = [tex]\frac{bh}{2}[/tex] = [tex]\frac{2*2}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 meters²

Lastly, subtract the triangle with the rectangle ~

12 meters² - 2 meters² = 10 meters²

Answer:

200 m

Step-by-step explanation:

[tex]v = 60 km/h \times\frac{1000m}{1km}\times\frac{1h}{3600sec}}=\frac{60}{3.6}m/s[/tex]

For the passenger, the other train moves at a rate of 2v

Time t = 6 sec

The length = (2v) x t = [tex]2\times\frac{60}{3.6}\times 6=200 m[/tex]

Answer:

Step-by-step explanation:

Distributive property: a(b + c) = (a*b) + (a*c)

15(0.5g + 1.2s) = 15*0.5g + 15*1.2s

                       = 7.5g + 18s

Answer:

given that, y=2×7

y=14

and

x+y=5

x+14=5

x=5-14

x=9

x not equal to 5