Find the area in km2. Round answer to the nearest tenth if necessary

Answer:

9, 10, 11, 12

Step-by-step explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

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

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

Answer:

x=3

Step-by-step explanation:

Equation: 7x-8=3x+4

4x=12

x=3

Answer:

The value of x is 8 .

Step-by-step explanation:

It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .

As EF, GH, RS and NP are in proportion

So,

EF : GH = RS : NP

[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]

Answer:

a. [tex]\frac{4\pi }{3}[/tex]

b. 240

Step-by-step explanation:

all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:

a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]

b. -120 + 360 = 240

Answer:

-4/3

Step-by-step explanation:

-3 x (-2/3)²

= -3 x (4/9)

= -4/3

Answer:

(40,30)

Step-by-step explanation:

This is when the prices are the same so they cross on the graph.

Answer:

C

Step-by-step explanation:

We want to find the ordered pair that estimates the time and cost at which the two stores charge the same amount

If the graph shows the two stores times and amount charged then wherever the two lines intersect is where the time and amount charged is the same

The two lines intersect at (40,30)

Hence the answer is C

Answer:

Answer:

Step-by-step explanation:

1) 2/9 = 185/x

  2x = 1665

x = 832.5 or 8.325 meters

2) unit rate is the cost of one unit

i.e a dozen eggs cost $1.20 that

would be 10 cents each

3) 300 tissues for $3.75 vs. 250 for $2.99

one is 1.24 cents per tissue

the other 1.19 ... the 250 package is a better buy

Answer:

1×2+1=3

3×2+1=7

7×2+1=15

15x2+1=31

31×2+1=63

40÷2+4=24

24÷2+4÷16

16÷2+4=12

12÷2+4=10

10÷2+4=9

Answer:

23.4 km

Step-by-step explanation:

We can use a ratio to solve

13 km         x km

--------   = ---------------

5 hours         9 hours

Using cross products

13*9 = 5x

117 = 5x

Divide each side by 5

117/5 = 5x/5

23.4 =x

Answer:

It travel 23.4 km in 9 hours.

Step-by-step explanation:

Given :-

A sea turtle can swim 13 km in 5 hours at this rate speed .

To find :-

How far can it travel in 9 hours.

Solution :-

Sea turtle swim 13 km in 5 hours Then find the how far it can travel in 9 hours.

Let us assume that In 9 hours turtle swim x km.

Now, We solve by using ratio for x.

In 5 hours it swim = 13 km

And, In 9 hours it swim = x km

Calculate for x

5 hours = 13 km

9 hours = x km

Use cross multiplication method , we get

5 × x = 9 × 13

5x = 117

Divide both side by 5

5x / 5 = 117 / 5

x = 23.4

Hence, It can travel 23.4 km in 9 hours.

Answer:

63/70 = 9 : 10

Step-by-step explanation:

Given ratio:

9/10

a 70/63

= 10/9

= 10 : 9

b 19/70

= 19:70

c 19/20

= 19 : 20

d 63/70

= 9/10

= 9 : 10

The equivalent ratio to 9/10 = 63/70

= 9 : 10

The correct answer is option B which is the probability of either white or green is 5/6.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability that it is either white or green will be calculated as:-

Total balls are :- 3+5+10=18

White or green ball - 5+10=15

3 x 5=15

3 x 6=18

P = N(e)/N(s) = 15/18

P = N(e)/N(s) = 5 / 6

Therefore the correct answer is option B which is the probability of either white or green is 5/6.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Answer:

C; 4

Step-by-step explanation:

Mathematically, when two lines are perpendicular, the product of their slopes equal -1

in that case, we have it that;

m1 * m2 = -1

where m1 is the slope of the first line and m2 is the slope of the second line

Hence,

m2* -1/4 = -1

-m2/4 = -1

-m2 = -4

m2 = 4

Answer:

152-88 = 64

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

To find the value of f(6), we substitute the value 6 where x is into the function. You would get:

7(6) - 4

42 - 4

f(6) = 38

Answer:

See my writting here have answer

Answer:

9<x<23

Step-by-step explanation:

I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.

x+7>16

x+16>7

16+7>x

=>

x>9

x>-9

x<23

=>

9<x<23

Answer:

gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

Slope intercept Form equation : y = mx + b

m = slope or gradient

b = y - intercept ( where the line crosses the y = axis)

x and y = are place holders for a coordinate pair that makes the equation true

c) y = -6x + 8

The -6 is the m. It's the slope or gradient.

the + 8  is the b. It's the y- intercept.

d) y = 4

This is a horizontal line. It intercepts the y-axis at 4.

That means the 4 is the y-intercept.

There is no x. That means the slope is 0. The line rises 0 as it runs left to right.

e) y -4x= 0  

equation needs to be is standard form y = mx + b.

add 4x to both sides in order to isolate the y variable.

y = 4x + 0.

The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.

f) y -x = -8

Add x to both sides.

y = x - 8

There is one x.  That means the gradient is 1. The y-intercept is the -8

g) y + 3x = 7

Subtract 3x from both sides.

y = -3x + 7

-3 = gradient. 7 = y-intercept.

h) y + [tex]\frac{1}{2}[/tex]x = -4

Subtract [tex]\frac{1}{2}[/tex]x from each side.

y = -[tex]\frac{1}{2}[/tex]x - 4

One last thing. If you are presented with an equation without a y, the gradient is  'undefined'.

example : x = 4

This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.

Why is it 'undefined' ?

As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.

Hope this helps.

When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

im bad at math but i think its 120

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

Answer:

The answer is 1 and 1/3

Step-by-step explanation:

hope its correct

Answer:

1/3 ÷ 1/4

= 1/3 × 4×1

=4/3

=1⅓

Answer:

1 : 27

Step-by-step explanation:

Radius of sphere one = r₁ = x units

Radius of sphere 2 = r₂ = 3*x = 3x units

Ratio of area of two sphere's = r₁³ : r₂³

                                                = x³ : (3x)³

                                                [tex]= \frac{x^{3}}{3^{3}*x^{3}}\\\\= \frac{1}{3^{3}}\\\\= \frac{1}{27}[/tex]

                                                 = 1 : 27

Answer:

She should have included an exponent of 2 on the 3

Step-by-step explanation:

The factor tree can be presented as follows;

                [tex]{}[/tex]                                90

[tex]{}[/tex]                                                  ↓

[tex]{}[/tex]                                     9          ↔            10

[tex]{}[/tex]                                     ↓                           ↓

[tex]{}[/tex]                                3  ↔  3                  2  ↔  5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.

Answer:

B

✔ She should have included an exponent of 2 on the 3.

Step-by-step explanation:

E2021

Answer: f(3)=-7

Step-by-step explanation:

To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.

f(3)=-4(3)+5       [multiply]

f(3)=-12+5          [add]

f(3)=-7

Now, we know that f(3)=-7.

Answer:

Step-by-step explanation:

Eq. 1 )   −5x−3y−9=0

Eq. 2)   4x−18y−54=0

there are two routes to solve this,   Substitution or  elimination,  I'll go for the 2nd one because I can see that the y values are a multiple of each other :)

    6 *( −5x−3y−9=0 )

Eq. 3) -30x -18y =54

subtract Eq. 2 from Eq. 3  :)

-30x -18y =54

-( 4x−18y=54)

-34x = 0

so according to the equations then x =0 but,  that's not really a full answer, so now we should go back and try the other method, substitution,

then:

-5x = 9 +3y

x = - 9/5 + (-3/5)y

now plug that into Eq. 2

4( - 9/5 + (-3/5)y ) - 18y = 54

-36/5 + (-12/5)y -18y = 54

(-12/5)y - (90/5)y = 54+36/5

-(102/5)*y =270/5+36/5

-(102/5)y = 306/5

y = (-5/102)*(306/5)

y = -306/102

y = -3

then plug in for either equation

-5x-3( -3) = 9

-5x + 9 = 9

-5x = 0

x = 0

now we have the full answer

check it by plugging in both x and y into the 2nd equation

4(0) - 18(-3) = 54

54= 54

this seems good  

Answer:

30 seconds

Step-by-step explanation:

→ Work out how many floors it's going to travel

15 - 3 = 12 floors

→ Work out how many meters 12 floors is

12 × 5 = 60 meters

→ Work out how long that will take

60 ÷ 2 = 30 seconds

Answer: the income is 369$

Step-by-step explanation:

Answer:

then why are you asking?

Step-by-step explanation:

okay

Answer:

6x - 15

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = 3x - 9.

[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]