Answer:
Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6
Step-by-step explanation:
The scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Given,
The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.
Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.
Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.
Use this same process to complete the table with the scaled diameters of the other planets.
Round each answer to the tenths place.
What does it mean to be in proportion?If two given ratios are equal we say that the ratios are in proportion.
Example:
1/2 and 4/8 are in proportion.
- 1/2
- 4/8 = 1/2
We have,
Earths diameter = 12,756 km
It is scaled to 3.5 cm
The ratio is:
= 12,756 km /3.5 cm
Since each planet is in proportion with each planet.
We have,
Let the scaled diameter be d.
- Mercury d
12,756 / 3.5 = 4879 / d
d = (4879 x 3.5) / 12756
d = 1.3 cm
- Venus d
12,756 / 3.5 = 12104 / d
d = (12104 x 3.5) / 12756
d = 3.3 cm
- Jupiter d
12,756 / 3.5 = 142984 / d
d = (142984 x 3.5) / 12756
d = 39.2 cm
- Saturn d
12,756 / 3.5 = 120,536 / d
d = (120536. x3.5) / 12756
d = 33.1 cm
- Uranus d
12,756 / 3.5 = 51118 / d
d = (51118 x 3.5) / 12756
d = 14 cm
- Neptune d
12,756 / 3.5 = 49, 528 / d
d = (49528 x 3.5) / 12756
d = 13.6 cm
Thus the scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
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3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.
A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides
Answer:
The answer is B.8 games,9 rides
what’s is the answer to this ?
Answer:
162
Step-by-step explanation:
I think this is right because angle one is the same as angel two
18*2=36
360-36=324
324/2=162
Answer:
2= 162*
Step-by-step explanation:
magic
Solve for a: u = 3b - 2a + 2
If a=2 then you would have u=3b-2(2) or u=3b-4 :)
Answer:
Step-by-step explanation:
B= 2/3a-2//3+1/3u, u equals R, A equals r
A=3/2b+1-1/2u, u equals R b equals R
The lines below are perpendicular . If the slope of the green line is 3/2 , what is the slope of the red line?
Answer:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B.
Hope this helps!
Construct a line through R that is perpendicular to the line
Answer: just did it 3 secs. ago
Step-by-step explanation:
The answer is shown below.
Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.Therefore, the Construction of a line through R that is perpendicular to the line is shown below:
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Find an ordered pair (x, y) that is a solution to the equation.
5x + y=9
Answer:
Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.
Step-by-step explanation:
We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:
5(1) + 4 = 9
Order of operations, multiply first...
5(1) = 5
Then it becomes...
5 + 4 = 9
We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.
5(0) + 9 = 9
Then...
5(0) = 0
0 + 9 = 9
We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.
5(3) + -6 = 9
That is equal to:
5(3) - 6 = 9
Simplify...
5(3) = 15
15 - 6 = 9
15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!
Help me ASAP major grade
Answer:
$5.58
Step-by-step explanation:
Because divide 12 by 67:
67 ÷ 12 = 5.58
5.58 is the answer
Hope this helped! Pls Brainliest!
Answer:
$5.58
Step-by-step explanation:
$67.00÷12=$5.58
Hope this helps!
ayudaaaaaaaaaaaaaaaaa
A toy store is having a sale. A video game system has an original price of $99. It is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest cent.
Answer:
The price would now be $59.40
Step-by-step explanation:
$59.4 is the sale price of the game system.
What is selling price?
The selling price is how much a buyer pays for a product or service.
Given,
A toy store is having a sale. A video game system has an original price of $99.
It is on sale for 40% off the original price.
We need to find how much 40% of $99.
40/100×99=0.4×99=39.6.
So sale price of the game system is $99-$39.6=$59.4.
Therefore sale price of the game system is $59.4.
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writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
HELP!!!!!!!!!!!!!!!!!!
Answer:
it is an acute angle
Step-by-step explanation:
less then 90° is a acute and above 90° angle is an obtuse
HELP PLS HOW DO U DO THIS
Answer:
10
Step-by-step explanation:
1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.
Answer:
10
Step-by-step explanation:
24 ÷ 3 = 8 so one third is 8
24 ÷ 4 = 6 so one fourth is 6
8 + 6 = 14 (14 people brought drinks or dessert)
24 - 14 = 10
ten people brought chips.
Which of the following statements correctly justifies the steps in the solution below?
Given
Step 1
Step 2
Step 3
Step 4
6(3x - 4) - 26 = 40
18x - 24 - 26 = 40
18x - 50 = 40
18x = 90
x = 5
O The Associative Property is used to create Step 1.
O The Distributive Property is used to create Step 3.
o The Division Property is used to create Step 4
o The Subtraction Property is used to create Step 2.
Answer:
The Division Property is used to create Step 4
Answer:b
Step-by-step explanation:
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{1}{2}xy= 2 1 xy, equals, start fraction, 1, divided by, 2, end fraction, x? Choose 3 answers: Choose 3 answers:
Answer:
A & B
Step-by-step explanation:
See attachment for complete question
Given
[tex]y = \frac{1}{2}x[/tex]
Analyzing the given options
Option A:
[tex]6y = 3x[/tex]
Divide both sides by 6
[tex]\frac{6y}{6} = \frac{3x}{6}[/tex]
[tex]y = \frac{3x}{6}[/tex]
[tex]y = \frac{1}{2}x[/tex]
This is true for the given expression:
Option B:
From the graph:
x = 2, when y = 1
x = 4, when y = 2
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 -1}{4 - 2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = \frac{1}{2}(x - 2)[/tex]
[tex]y - 1 = \frac{1}{2}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1 = \frac{1}{2}x - 1 + 1[/tex]
[tex]y = \frac{1}{2}x[/tex]
This is also true for the given expression.
Option C:
From the graph:
x = 2, when y = 4
x = 4, when y = 8
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 4}{4 - 2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m =2[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 4 = 2(x - 2)[/tex]
[tex]y - 4 = 2x - 4[/tex]
Add 4 to both sides
[tex]y - 4 + 4= 2x - 4 + 4[/tex]
[tex]y = 2x[/tex]
This isn't true for the given expression.
Option (D):
From the table:
x = 2, when y = 1
x = 4 when y = 3
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3 - 1}{4 - 2}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = 1 * (x - 2)[/tex]
[tex]y - 1 = x - 2[/tex]
[tex]y = x - 2 +1[/tex]
[tex]y = x - 1[/tex]
This isn't true for the given expression.
Answer:
A,B, and E
Step-by-step explanation:
trust me.
Tim dug a hole that was 16 1/2 inches deep. He left a pile of dirt next to the at was inches high. Show how you could use subtraction to find the e from the top of the pile of dirt to the bottom of the hole. 8 3/4 Tim dug a hole that hole that was distance from the
Answer: 2 inches
Step-by-step explanation:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
find the value of x that makes the lines parallel 3x-9 2x-1
Answer:
x=8
Step-by-step explanation:
set the equations equal to themselves and solve
3x-9=2x-1
+9 and -2x
x=8
Check:
3(8)-9=2(8)-1
24-9=16-1
15=15
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
Match the correct scenario with the correct unit rate format.
1. meters/second
2. $/pound
3. $/ tire
4. people/class
5. miles/gallons
6. calories/serving
Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???
A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?
41 - 7 - 10 - 7 = 41 - 24 = 17.
The team scored 17 points in the last quarter.
Non example of complex fraction.
Answer:
42/6
Step-by-step explanation:
:P
There are 90 people in a group.
A sixth of the people in the group are men.
The number of women in the group is 2 times the number of men in the group
The rest of the people in the group are children.
the number of children in the group : the number of men in the group = n: 1
Work out the value of n.
You must show how you get your answer.
Answer:
n=3
Step-by-step explanation:
90×1/6=15 men
15*2=30 women
90-15-30=45 children
45 children: 15 men
3:1 ratio of children to men
n=3
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
80 degrees
Step-by-step explanation:
both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80
Answer:
80
Step-by-step explanation:
Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200
360-200 = 160
160/2 = 80
I hope this helps enjoy your day!
Please help me with this.
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
What is the value of the expression 5(X+3) when X=-3?
Answer:
0
Step-by-step explanation:
5(x+3) replace x with -3
5(-3+3)
5(0)
0
A line has a slope of
1/4
and passes through the point (0.2,
4/5
Find the value of b, the y-intercept.
b = ???
Answer:
b = 3/4
Step-by-step explanation:
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4
b = 3/4
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4
What is the measure
of ZA, in degrees?
20
What is the quotient of -32/8?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4