Given:
The planet Mercury is roughly [tex]\dfrac{2}{5}[/tex] the size of Earth.
The planet Jupiter is 2.5 times the size of earth.
Earth = 3,959 miles.
To find:
How much larger is Jupiter than Mercury?
Solution:
The planet Mercury is roughly [tex]\dfrac{2}{5}[/tex] the size of Earth.
[tex]Mercury=\dfrac{2}{5}\times 3959[/tex]
[tex]Mercury=1583.6[/tex]
The planet Jupiter is 2.5 times the size of earth.
[tex]Jupiter=2.5\times 3959[/tex]
[tex]Jupiter=9897.5[/tex]
Difference between size of Jupiter and mercury is
[tex]9897.5-1583.6=8313.9[/tex]
Therefore, Jupiter is 8313.9 miles larger than Mercury.
Warm-Up
After reading "The Human Microbiome" article, you learned that there are trillions of bacteria in the human microbiome. Which of these statements do you agree with most right now? (check one)
(A) Bacteria are disgusting! Most bacteria in the human microbiome are harmful.
(B) Bacteria are great! Most bacteria in the human microbiome are helpful.
(C) I'm not sure! Bacteria are kind of disgusting, but some of them might be helpful.
What other interesting things did you learn from reading "The Human Microbiome"?
Please help me. WHOEVER ANSWERS THIS FIRST WINS BRANIEST
. One box of noodles is needed to make 2 trays of lasagna. What is the ratio of jars of sauce to boxes of noodles for this lasagna?
Answer:
1 : 2
Step-by-step explanation:
1 2
___ = 1 :2
1 1
The ratio of the jars of sauce to boxes of noodles for this lasagna is 1:2
The triangles below are similar.
therefore x = ?
Answer:
x = 6.
Step-by-step explanation:
JK = JG + GK = 6 + 4 = 10
Scalar factor(k) = JK/JG
k = 10/4 = 5/2
Scalar factor (k) = JL/GH
5/2 = x/15
5 × x = 2× 15
5x = 30
hence x = 6
What is the volume, in cubic cm, of a cylinder with the height of 16cm and a base radius of 3 cm, to the nearest tenths place?
452.16 cm³ is the volume of a cylinder with the height of 16cm and a base radius of 3 cm
Volume of cylinder based problem:Height of cylinder = 16 cm
Radius of cylinder = 3 cm
Volume of cylinder = πr²h
Volume of cylinder = (3.14)(3)²(16)
Volume of cylinder = (3.14)(9)(16)
Volume of cylinder = 452.16 cm³
Find out more information about 'Cylinder'.
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Over a period of 3 hours 180 acorns fell from a tree. How many acorns fell in one hour?
Answer:
That is very easy it is 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
3h=180
/3 /3
h=60hours
HELP!!! simplify 7y^3√4x^6y^5
Answer:
Step-by-step explanation:
14y
3
(∣x∣)
3y
5
I need some help here!
Answer:
She uses 220 pounds of cheese and lettuce.
2000/10 = 200 + 2000/100 = 20
200 + 20 = 220
just ask me in the comments if you need a better explanation
3r - 5 = 2r
How many solutions?
Answer:
one solution
Step-by-step explanation:
3r - 5 = 2r
=> 3r - 2r = 5
<=> r = 5
Answer:
One solution
Step-by-step explanation:
3r - 5 = 2r
-5 = 2r - 3r
-5 = -r
5 = r
In the first 42 super bowls, 0.16 of the MVP's (most valuable players) were running backs. a. What percent of th MVP's were running backs? Write the percent as a mixed number.
Answer:
Percent of MVPs that were running back is 16.6%
The percent as a mixed number is 16 6/10% or 16 3/5%
5/6 of the MVPs were not running backs
Step-by-step explanation:
Here is the complete question:
In the first 42 Super Bowls, 0.16(repeating sign over 6) of the MVPs (most valuable players) were running backs. a. What percent of the MVPs were running backs? Write the percent as a mixed number. b. What fraction, in simplest form, of the MVPs were not running backs?
Step-by-step explanation:
From the question, 0.16(repeating sign over 6) of the MVPs were running backs. Since there is repeating sign over 6, then, we can say 0.166 of the MVPs were running backs.
a. To determine what percent of the MVPs were running running back, we will multiply 0.166 by 100%.
Hence, Percent of MVPs that were running back = 0.166 × 100% = 16.6%
To write the percent as a mixed number,
16.6 = 16 + 0.6 = 16 + 6/10 = 16 6/10 = 16 3/5
∴ 16.6% = 16 3/5%
Hence, the percent as a mixed number is 16 6/10% or 16 3/5%
b. To determine what fraction of the MVPs were not running backs, that will be
1 - 0.16(repeating sign over 6) = 0.83 (repeating sign over 3)
0.83(repeating sign over 3) as a fraction is 5/6
Hence, 5/6 of the MVPs were not running backs
Given f(x)=x^2-4x+4 find the value(s) for x such that f(x)=25
What is the slope of a line perpendicular to the line whose equation is
10x - 12y = -24. Fully reduce your answer.
Answer:
The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe product of the slopes of the perpendicular lines is -1. which means if the slope of one of them is m, then the slope of the other is [tex]-\frac{1}{m}[/tex]∵ The equation of the given line is 10x - 12y = -24
→ We need to form this equation as the form above to find m
→ Subtract 10x from both sides
∵ 10x - 10x - 12y = -24 - 10x
∴ - 12y = -24 - 10x
→ Divide both sides by -12
∴ [tex]\frac{-12y}{-12}=\frac{-24}{-12}-\frac{10}{-12} x[/tex]
∴ y = 2 - ([tex]\frac{-5}{6}[/tex]) x
→ Remember that (-)(-) = (+)
∴ y = 2 + [tex]\frac{5}{6}[/tex] x
∵ y = m x + b
∴ m = [tex]\frac{5}{6}[/tex]
∴ The slope of the given line is [tex]\frac{5}{6}[/tex]
→ To find the slope of the perpendicular line reciprocal it and change
its sign
∵ The reciprocal of [tex]\frac{5}{6}[/tex] is [tex]\frac{6}{5}[/tex]
→ Change its sign from + to -
∴ The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
The slope of the line perpendicular to the line whose equation is
10x - 12y = -24 is - 6 / 5
The slope intercept form is represented as follows;
y = mx + b
where
m = slope
b = y-intercept
Therefore,
10x - 12y = -24
10x + 24 = 12y
12y = 10x + 24
divide through by 12
12y / 12 = 10 / 12 x + 24 / 12
y = 5 / 6 x + 2
The slope of this equation is 5/6.
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 5/6 = -1
m₁ = - 6 / 5
learn more on linear equation: https://brainly.com/question/21010397?referrer=searchResults
Please help ASAP!!!!!!
Answer:
3
Step-by-step explanation:
Answer:
f(2) =3
Step-by-step explanation:
According to the image :
f(x) .
When x = 0 , f(x) =4
When x = 1 , f(x)= 2
When x =2 , f(x) =3
Vice-versa
im asking this again cuz no one answered my last question
it is a term with no literal coefficient
a. numerical
b. leading
c. constant
d. literal
Answer:
I think it might be a constant
Diego has a standard 52 card playing deck, which includes 13 heart cards, 13 spade cards, 13 diamond cards, and 13 club cards. If he draws one card at random, what is the probability that the card will be a heart?
20%
50%
30%
25%
Answer:
Step-by-step explanation:
52/4=13
13+13+13=39
13/52=.25
.25*10=25%
The 250m between Sam's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between Sam's school and the library if they are 8.4 cm apart on the same map?
Answer:
420m
Step-by-step explanation:
250÷5=50
1cm=5m
5×8.4=420m
Answer:
420 meters bestie
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
12
Step-by-step explanation:
50-23=27
27÷3=9
12 x .25 = 9
9 is the after price
12 is the before price
An
Step-by-step explanation:
i think its 12
write a equation of the line that passes through each set of points in slope intercept form 2,-1 -4,5
Answer:
323-21=221 BC OF SUBTRACTION reduces the nuber of 232
Step-by-step explanation:
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books. A total of 10 boxes were sent which can hold 375 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.
Answer: Number of small boxes = 7, Number of large boxes =3
Step-by-step explanation:
Let x= Number of small boxes , y = Number of large boxes.
As per given , 30x+55y=375 (i)
x+y=10 (ii)
Multiply (ii) by 30, we get
30x+30y=300 (iii)
Eliminate (iii) from (i), we get
25y=75
⇒ y= 3 [Divide both sides by 25]
Put y=3 in (ii), we get
x+3=10 ⇒ x=7
Hence, Number of small boxes = 7, Number of large boxes =3
Lisa purchased a prepaid phone card for $30. Long distance calls cost 13 cents a minute using this card. Lisa used her card only once to make a long distance call. If the remaining credit on her card is $26.49, how many minutes did her call last?
Answer:
27minutesStep-by-step explanation:
Firstly, let us calculate the amount spent
amount spent=30-26.49
amount spent=3.51
the expression for the total amount spent is given as
y=c-mx
let us convert 13cents to dollar= $0.13 extra charge per minute
we can see that x is the number of minutes
therefore
26.49=30-0.13x
26.49-30=-0.13x
-3.51=-0.13x
x=3.51/0.13
x=27 minutes
the last call was 27minutes
When playing many games, players must roll a pair of dice and find the sum of the two numbers rolled. With two dice, there are 11 possible sums ranging from 2 through 12. What is the probability that a player will roll a sum of 11 on his first roll of two dice? Express your answer as a common fraction.
Answer:
[tex]Probability = \frac{1}{18}[/tex]
Step-by-step explanation:
Given
[tex]Dice = 2[/tex]
Required
Probability of getting sum of 11
First, we need to list out the sample space;
Represent the first dice with S1 and the second with S2
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
Represent the Sum of the outcome with S
So, the new sample space is the sum of outcome of S1 and S2
So, S is as follows:
[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
Represent the number of sample space with n(S)
[tex]n(S) = 36[/tex]
To determine the probability of outcome of 11, we need to list out the number of outcomes of 11.
Represent this with n(11)
From the sample space above,
[tex]n(11) = 2[/tex]
The required probability is then calculated as thus:
[tex]Probability = \frac{n(11)}{n(S)}[/tex]
[tex]Probability = \frac{2}{36}[/tex]
Simplify to the least term
[tex]Probability = \frac{1}{18}[/tex]
A flower seed was planted 12 inches underground. It began growing 4 inches every week.
Answer:
12 + 4x
Step-by-step explanation:
It already had a starting point of 12 inches. So we add 12 to its height. Then we have 4x, x representing the number of weeks that have passed, and 4 meaning that it is growing 4 inches every week. This is why the answer is 12+4x in case you are looking for an expression
What is the value of 2x+20
Answer:
Divide each term by
2
and simplify.
x
=
10
Step-by-step explanation:
hope this helps
What is the measure of angle B I need help fast
Answer:
it is 36°
Step-by-step explanation:
180-117 =63
180-(117+63)=36
On my chart for class it has 10 then a other side with 95 and i have to figure out what 10 divided by something gets 95 and i have no clue
Answer:
950 divived by 10 gets u 95
Step-by-step explanation:
A line passes through the point (-2,-9) and is parallel to 5x - y = 7. What is the equation of the line?
Answer:
y = 5x + 1
Step-by-step explanation:
5x - y = 7
y = 5x - 7
Gradient = 5
Gradient of the line passing through point (-2,-9)
= 5
i.e it is parallel to line 5x - y = 7
Equation of the line is given as:
y - (-9) = 5(x - (-2))
y + 9 = 5x +10
y = 5x + 1
y=5x+1
What is slope in straight line?
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.
y-y1=m(x-x1)
mm1=-1
Given line,
5x-y=7
y=5x-7
slope, m=5
Since, the new line that passes through the point (-2,-9) is parallel to the line 5x-y=7, the slope of the new line will be the same.
Therefore, slope of the new line will be = 5
Now, equation of line is
y-y1=m(x-x1)
Putting the values,
y-(-9)=5(x-(-2))
y+9=5(x+2)
y+9=5x+10
y=5x+1
therefore, our line equation is y=5x+1
Read more about slope in straight line at:
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find the hypotenuse
a=8,b=15, c=
Answer:
17
Step-by-step explanation:
a^2+b^=c^c
Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 0.8÷0.6 is about ?
Answer:
the answer is 1.33
Step-by-step explanation:
Find the value of x in the triangle shown below.
x = ?
(this is another question)
Step-by-step explanation:
in a triangle = 180°
56 + 37 + x = 180
93 + x = 180
x = 180 - 93
x = 87
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
△QDJ≅△
Answer:
△QDJ≅△MCW
Hope this helps
Answer:
MCW
Step-by-step explanation:
NEed HeLp PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
4.
Independent variable: Number of cans
Dependent variable: Soda
The amount of soda is dependent on the number of cans
y = 12x
5.
Independent variable: Number of biscuits
Dependent variable: Number of tricks
The number of biscuits is dependent on the number of tricks
y = 20 - 3x