Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

Answer:

Step-by-step explanation:

Amount charges by plumber =  £ 167.00

Call out fee = £ 18.50

Charge excluding the call out fee = 167 - 18.50 = £ 148.50

Total hours worked = 9 hours

Charge per hour = charge excluding the call out fee ÷ total hours

                           = 148.50 ÷ 9

                          = £ 16.50

Answer:

A. linear, because it's growing the same amount each growing season

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is linear because it goes up by a constant every year

Answer:

No solutions.

Step-by-step explanation:

7(2) + 39 > 53 and 16(2) + 15 > 31

14 + 39 > 53 and 32 + 15 > 31

53 >_ 53 but, 47 > 31 :/

So even with one the first equation is smaller.

Answer:

Step-by-step explanation:

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

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

Answer:

14000 pounds :)

Step-by-step explanation:

Answer:

14000 pounds

Step-by-step explanation:

Formula:

multiply the mass value by 2000

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Given:

[tex]m \angle ECH = x + 5\\m \angle HCD = 3x - 7[/tex]

Note the following:

Since CD is perpendicular to EF, therefore:

[tex]m \angle ECD = 90^{\circ}\\m \angle FCD = 90^{\circ}[/tex]

Thus:

a. Find x

[tex]m \angle ECH + m \angle HCD = m \angle ECD[/tex]

Substitute

[tex](x + 5) + (3x - 7) = 90[/tex]

Add like terms

[tex]x + 5 +3x - 7 = 90\\4x -2 = 90\\4x = 90 + 2\\4x = 92[/tex]

Divide both sides by 4

[tex]x = 23[/tex]

b. Find [tex]m \angle ECH[/tex]

[tex]m \angle ECH = x + 5[/tex]

Plug in the value of x

[tex]m \angle ECH = 23+ 5\\m \angle ECH =28^{\circ}[/tex]

c. Find [tex]m \angle HCD[/tex]

[tex]m \angle HCD = 3x - 7\\m \angle HCD = 3(23) - 7\\m \angle HCD = 62^{\circ}[/tex]

d. Find [tex]m \angle GCF[/tex]

[tex]m \angle GCF = m \angle ECH[/tex] (vertical angles are congruent)

Substitute

[tex]m \angle GCF = 28^{\circ}[/tex]

e. Find [tex]m \angle ECG[/tex]

[tex]m \angle ECG = 180 - m \angle GCF[/tex] (angles on a straight line)

Substitute

[tex]m \angle ECG = 180 - 28\\m \angle ECG = 152^{\circ}[/tex]

f. Find [tex]m \angle GCD[/tex]

[tex]m \angle GCD = m\angle FCD + m \angle GCF[/tex]

Substitute

[tex]m \angle GCD = 90 + 28\\m \angle GCD = 118^{\circ}[/tex]

Therefore:

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

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Answer:

Option (4)

Step-by-step explanation:

By the theorem of inscribed angles and the intercepted arc,

"In a circle, angles subtended by the same arc always measure the same and the arc measures the double of the inscribed angle."

If an inscribed angle in a circle measures 75° then all inscribed angles by the same arc will measure 75°.

In addition to this, measure of arc subtended by these inscribed angle will measure double of the inscribed angle (150°)

Therefore, Option (4) will be the answer.

Answer:

The unit price is $0.95 per pack.

Step-by-step explanation:

To find the unit price, we must find the price per pack of beaded necklaces.  To do this, we should divide the total price ($7.60) by the number of items in the package (8).

$7.60/8 = $0.95

Therefore, the answer is that the unit price is $0.95.

Hope this helps!

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

Answer:

Step-by-step explanation:

Convert 182 6/8 into improper fraction

[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]

[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]

= 60 22/24

Answer:

The answer is

Step-by-step explanation:

[tex]1 \frac{2}{5} + \frac{3}{4} [/tex]

To solve the question first convert the mixed fraction to an improper fraction

That's

[tex]1 \frac{2}{5} = \frac{7}{5} [/tex]

So we have

[tex] \frac{7}{5} + \frac{3}{4} [/tex]

Find the LCM of the fractions

The LCM of 5 and 4 is 20

That's

[tex] \frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20} [/tex]

[tex] = \frac{43}{20} [/tex]

= 2.15

We have the final answer as

Hope this helps you

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

Answer:

(-5 +/- i√59)/-6

Step-by-step explanation:

(-5 +/- √25-84)/2(-3)

(-5 +/- i√59)/-6

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

Answer:

B) $73

Step-by-step explanation:

add all of your values and divide by the amount of values

52+55+55+55+59+64+66+68+72+73+73+73+73+75+81+81+83+84+84+86+87=

1,499

1,499 divided by 21 = 71.3809523...

which rounds to 73

HOPE THIS HELPS!!! :)

The median is of $48 in the stem leaf plot and option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.

The graph has 16 values, already ordered.

It is an even number, hence the median is the mean of the 8th and the 9th values, which considering the key are both 48,

Hence, the median is of $48 and option B is correct.

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Stem-and-Leaf Plot shows the amount of money each student spends

on travel per day in dollars. What is the median for the data in this graph?

Stem Leaf

A) $35

B) $48

C) $53

D) $54

Answer:

7.834 × 10^-8

Step-by-step explanation:

= 7.834 × 10^-8

(scientific notation)

= 7.834e-8

(scientific e notation)

= 78.34 × 10^-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.00000007834

(real number)

^ means the number after is exponent.

Answer:

[tex]\huge\boxed{Answer=>silver}[/tex]

Step-by-step explanation:

Information given:

1. 11 red bikes

2. 3 blue bikes

3. 4 orange bikes

4. 12 silver bikes

...........................................................

For every 1 orange bike, there are 3 ______

Note: there is 4 orange bikes.

(Denominator will be 4 since 4 orange bikes)

Red: [tex]11/4[/tex]

Blue: [tex]3/4[/tex]

(Don’t include orange)

Silver: [tex]12/4[/tex] (which equals 3)

We can’t divide any of the fractions accept for silver.

So the answer is silver. Hope this helps! ✨by: RobloxYt ✨

Answer:

Step-by-step explanation:

here,

132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)

therefore ,

x+ 276 degree =360 degree

x = 360-276

x= 84 degree

hope it helps and pls do mark my answer as the brainliest.............

Answer:

A.

Step-by-step explanation:

I used a graphing calculator to check

Answer:

A

f(x)=(x+2)/(x+1)

Answer:

15.56

Step-by-step explanation:

Total flour available=35 cups

Each cake=2 1/4 cups

Find how many cakes Pauline can bake with 35 cups of flour

Let the number of cakes she can bake with 35 cups of flour=x

x=35 cups / 2 1/4 cups

=35÷9/4

=35×4/9

=140/9

=15 5/9 cakes

=15.56 cakes approximately

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

Answer:

10.5 pounds of apples

Step-by-step explanation:

4 devided by 14 = 3.5

3.5* 3 = 10.5

Answer:

x = all real numbers.

Step-by-step explanation:

3 x minus 8 = negative x + 4 (x minus 2)

3x - 8 = -x + 4(x - 2)

3x - 8 = -x + 4x - 8

3x - 8 = 3x - 8

3x - 3x = -8 + 8

0 = 0

Since the result is a true statement, but 0 = 0, x is equivalent to all real numbers.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

So the formula for the variation is

when

T = 500

Substitute it into the above formula

That's

[tex]p = \frac{21}{80} \times 500[/tex]

Simplify

The final answer is

Hope this helps you

Answer:

r = 1

Step-by-step explanation:

2πr = x

πr² = y

x = 2y

2πr = 2πr²

r = 1

Answer:

2-3/8  =  2.375

2-2/5  =  2.4

2.4 - 2.375  =  0.025

Your friend's skateboard ramp is 0.025 foot higher

than your skateboard ramp is.

That's about  1.1%  higher . . . 0.3 inch, or about  7.62 milometers.

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]

applying the formula:

[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]

So, the average after rounding off to nearest 1000 is 2000.

Answer:

perimeter = 24

Step-by-step explanation:

it´s a regular hexagon = 6 sides

perimeter = 6(4x) = 24x