Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
41 feet
Step-by-step explanation:
We apply the theorem below:
If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Let x be the perimeter of the smaller triangle
If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,
6:5=49.2:x
6/5=49.2/x
Cross multiplying
6x=49.2 X 5
6x=246
x=246/6=41
The perimeter of the smaller triangle is 41 feet
Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19
Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5
Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+
−
x
=
x
+
19
+
−
x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+
−
5
=
19
+
−
5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7
Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)
Answer:
x
=
7
and
y
=
26
Answer:
627.65 times
2.51^(10 - m) times
Yes, it makes sense
Step-by-step explanation:
Given that,
A magnitude 9 star is 2.51 times as bright as a magnitude 10 star
To find
<h3>a) </h3>
How many times as bright is a magnitude 3 star as a magnitude 10 star
10 - 3 = 7
2.51^7
627.65 times
<h3>b)</h3>
Expression to compare a magnitude m star to a magnitude 10 star
2.51^(10 - m) times
<h3>c)</h3>
Yes, it makes sense as a full moon is magnitude -13
so,
2.51^(10 - (-13))
2.51^(23)
1557742231 times
This is how I believe it would look like
