Write the number name and expanded form for the number of driver ants that could be in two colonies. Up to 22,000,000 driver of ants can live in a single colony

Answer:

[tex]\Huge \boxed{n=-1}[/tex]

Step-by-step explanation:

[tex]1-8n-8= -7n-6n-12[/tex]

Combining like terms.

[tex]-8n-7= -13n-12[/tex]

Adding 13n and 7 to both sides.

[tex]-8n+13n=-12+7[/tex]

[tex]-5n=5[/tex]

Dividing both sides by -5.

[tex]n=-1[/tex]

Answer:

rational numbers are the number which can not expressed into simpler fraction

Answer:

196metres

Step-by-step explanation:

Maria drives 48 mph and Ming drives 50 mph.

We were told to find How far apart will they be in 2 hours which means that what distance have Maria and Ming passed in total.

Let us calculate how far did Maria go for 2 hours.

Which is

Velocity v = distance s/ time t

V= S1/t

48=s/2

S1= 96metres

Then we calculate how far did Ming go for 2 hours

v= S2/t

50=s/2

S2= 100metres

The total distance between them in two hours is (S1+S2)=96+100

=196metres.

Hence,they were 196 metres apart in 2 hours

40 x 60 / 100  and you get 24.

each 20% is 12

Answer:

15

Step-by-step explanation:

adding 15 black beads gives you 16 black beads and 4 white beads

16/4 =4/1 or 4:1

Domain is   [tex]0 \le x \le 12[/tex]

Range is [tex]0 \le y \le 900[/tex]

============================

Explanation:

The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.

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

The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.

Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.

Answer:

96.

sqrt(576) is 24.

And 24 x 4 = 96.

Hope this helps!

96

4√576 =

= 4√2⁶ₓ3²

= 4√(2³)²ₓ3²

= 4ₓ8ₓ3

= 32ₓ3

= 96

Answer:

18 1/5

Step-by-step explanation:

Answer:

i. 179.775 kg

IIa)the weight=585.225 kg

IIb) percentage=75.6%

3)=30240 kg

Step-by-step explanation:

From the question were given the total area of the land as 1000 sq. meter

Amount of cultivated rice= 765 kg

the percentage of wastage rice =23.5%.

But we can convert the amount of the wastage rice from percentage to kilogram which is

23.5/100=0.235

Then to kilogram 0.235× 765 kg= 179.775 kg

Then amount of wastage rice= 179.775 kg

I)Find the weight of the wastage. ?

The amount of wastage rice is the conversion of it's percentage to kilogram which I did above

Then amount of wastage rice= 179.775 kg

II) Find the weight and percentage of rice cultivated.

Since we know amount of wastage as 179.775 kg, then the amount of cultivated will b difference between the cultivated and wastage=765 - 179. 775 = 585.225 kg

Then it's percentage is the substraction of the percentage of wastage from 100%

= 75.6%

3)If the area has been increased 40 times in size, how much rice will be cultivated (excluding the wastage)

Increase in the land in 40 times= 40×1000= 40,000sm

Then the rice cultivated= 75.6% ×40000

=30240 kg

Step-by-step explanation:

1) area of B = [tex]\pi r^{2}[/tex] = [tex]\pi* 12^{2}[/tex] = 452.4 cm^2

area of A is  = [tex]\pi r^{2}[/tex] = [tex]\pi* 2^{2}[/tex] = 12.6 cm^2

A will be scaled 452.4/12.6 = 36 times

using the same method we can say that

2) 0.56 times

3) 0.063 times

4) 6.25 times

Answer:

Step-by-step explanation:

Area of circle  = πr²

The scale factor A:B is as follow

1) 2:3

2) 16:9

3) 25:4

4) 4:25

Answer:

Step-by-step explanation:

[tex]J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5[/tex]

Answer:

last statement is false

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Parenthesis

12(17)

Step 2: Multiply

204

Answer: 204

Step-by-step explanation: Following your order of operations, you should simplify what's inside the parenthses first. So (8 + 9) simplifies to 17.

Bring down your 12 and you have 12(17) which equals 204.

Answer:

-10 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)

Answer:

[tex] \frac{r}{2} + 2 = - 3[/tex]

[tex] = ) \frac{r + 4}{2} = - 3[/tex]

[tex] = )r + 4 = - 6[/tex]

[tex] = )r \: = - 6 - 4[/tex]

[tex] = )r \: = - 10[/tex]

Answer:

The confidence interval is ($7902, $8098)

Step-by-step explanation:

The formula for confidence interval of a normal distribution is given as:

Confidence Interval = μ ± z × σ/√n

Where:

μ is the mean amount spent annually = $8,000

σ is the standard deviation = 500

n is the number of samples = 100 customers

z = 95% confidence interval = 1.96

Confidence Interval = $8000 ± 1.96 ×500√100

= $8000 ± 1.96 × 500/10

Confidence Interval = $8000 ± 1.96 × 50

= $8000 ± 98

= $8000 - 98 = $7902

= $8,000 + 98 = $8098

Therefore, the 95% confidence interval of the population mean amount spent annually on a debit card = ($7902, $8098)

Answer:

  D(9, 1)

Step-by-step explanation:

A being the midpoint means its coordinates satisfy ...

  A = (E + D)/2

Solving for D, we find ...

  D = 2A -E

  = 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)

  D = (9, 1)

Answer:

251

Step-by-step explanation:

Given - Mean length of fish  = μ= 73  cm

SD  σ =8 c m

Number of fish having a length greater than 57 cm out of 480.

Find the value of  z  at  x = 57

[tex]z= \frac{x-\mu}{\sigma} = \frac{57-73}{8}\\=\frac{-16}{8} = -2[/tex]

Area between  z = − 2 and  z =  ∞

= Area between  z = − 1  and  z = 0 +

Area between  z = 0  and  z = ∞

=0.02275+0.5= 0.52275

Therefore number of fish having teeth greater than 57 cm

= 0.52275*480 = 5.2275*48 = 250.92 ≅251

Answer:

Two other exponents that results in 256 are [tex]16^2[/tex] and [tex]4^4[/tex]

Step-by-step explanation:

Given

[tex]2^8 = 256[/tex]

Required

Write two exponential expression that equals 256

[tex]2^8 = 256[/tex]

Expand 8 as 4 * 2

[tex]2^{4*2} = 256[/tex]

Using laws of indices, we have

[tex](2^4)^2 = 256[/tex]

2⁴ = 16; So, we have

[tex]16^2 = 256[/tex] --- This is one

Recall that

[tex]2^{4*2} = 256[/tex]

This can also be rewritten as

[tex]2^{2*4} = 256[/tex]

Using laws of indices, we have

[tex](2^2)^4 = 256[/tex]

2² = 4; So, we have

[tex]4^4 = 256[/tex] --- This is another one

Hence, two other exponents that results in 256 are [tex]16^2[/tex] and [tex]4^4[/tex]

Answer:

perimeter = 322.5 ft ( to the nearest tenth of a foot)

Step-by-step explanation:

Length the length of the sides of the square be L

Area of a square = L²

∴ 6,500 = L²

L = √(6,500)

L = 80.6226

Next Let us calculate the perimeter

Perimeter of a square = L + L + L + L = 4L

perimeter = 4 × 80.6226

Perimeter = 322.4904 ft

perimeter = 322.5 ft ( to the nearest tenth of a foot)

N:B rounding to the nearest tenth of a foot is same as rounding to 1 decimal place.

Answer:

true

Step-by-step explanation:

Answer:

False, if you get a negitive it would be - square root symbol 9

This is just an example

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

Answer:

t = 0.06c

Step-by-step explanation:

Given the following :

Percentage sales tax on items = 6%

Cost of item = c

Amount of sales tax on item = t

Amount of sales tax is the product of the sales tax percentage and the cost of item purchased

Hence, Amount of sales tax;

t = 6% × cost of item (c)

t = 0.06 × c

t = 0.06c

Answer:

Area = Pi x Radius^2

Diameter = Circumference / Pi

                 = 6Pi / Pi

                 = 6

Radius = Diameter / 2

             = 6 / 2

             = 3

Area = Pi x 3^2

        = 9Pi  square units.

Step-by-step explanation:

Hey there! I'm happy to help!

To find the area, we square the radius and multiply it by π.

We have the circumference. The circumference is the diameter multiplied by π. Since the circumference is 6π, the diameter is 6.

The radius half of the diameter, so it is 3.

Now, we find the area.

We square 3

3²=9

And we multiply by π, so our area is 9π inches squared.

Have a wonderful day! :D

Answer:

QR=12

ST=18

QS=24

QT=42

Step-by-step explanation:

The question tells us that PR is congruent to RS. But there's no point P in the line. So, I'm going to assume it's a typo and that they meant point Q.

So, we know that QR is congruent so RS. RS is 12 and RT is 30. With that information, we can find the other lengths:

1) QR

Since QR is congruent to RS and RS is 12, this means that QR is also 12.

2) ST

We know that RT is 30. RT is made by adding up RS and ST. In an equation, this is:

[tex]RT=RS+ST[/tex]

We know that RT is 30 and RS is 12. Thus, substitute:

[tex]30=12+ST\\ST=18[/tex]

Thus, ST is 18.

3) QS

QS is the length of QR plus RS. Since QR is 12 and RS is also 12, QS is 12+12 or 24.

4) QT is the length of the entire segment. The entire segment can be written as:

[tex]QT=QR+RT[/tex]

And since we already know that QR is 12 and RT is 30:

[tex]QT=12+30\\QT=42[/tex]

QT is 42.

=======================================================

Explanation:

See the attached image below to see one way you could draw the diagram based on the given info. The drawing is not to scale.

The color coded angles hopefully let you see which angles are congruent to one another

These three pairs of congruences are possible because of the angle bisections that occur.

Since EXB is 20, this means DXE is 20 as well. They combine to 20+20 = 40, which is the measure of angle DXB (angle addition postulate).

Angle DXB is congruent to CXD, so both are 40 and they combine to 40+40 = 80. This is the measure of angle CXB.

Finally, angle CXB = 80 doubles to 160 which is the measure of angle AXB. Or you could say

angle AXB = (angle AXC) + (angle CXB) = 80 + 80 = 160.

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

Answer:

Area of the triangle = 12 square feet

Step-by-step explanation:

Area of a triangle is calculated by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

From the picture attached,

Height of the given triangle = Vertical distance of the top vertex = 4 feet

Base of the triangle = 6 feet

Area of this triangle = [tex]\frac{1}{2}(6)(4)[/tex]

                                 = 12 square feet

Therefore, area of the given triangle will be 12 square feet.

Answer: 153.94cm

Step-by-step explanation:

Answer:

A  =  49 cm ²

Step-by-step explanation:

A = πr²

   = 22/7 * 7 *7

      = 49 cm²

Answer:

21x-7/7x

=7x(3x-1)/7= 3x-1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the area of a rectangle, you must multiply its length with its width.

We know that either the length or it's width is 7x.

To find the length of the other side, we essentially have to figure out what 7x you to be multiplied by to get 14x (21x-7x can be simplified to that by combining like terms)

To reverse multiplication, we can use division.

Let's set up the following expression:

14x/7x

2x/x

2

The length of its other side is 2.