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DochEvi [55]
3 years ago
7

A wedding planner uses 72 ivy stems for 18 centerpieces when she arrives at the venue she realizes she will only need 16 centerp

ieces how many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same
Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Answer: 64 ivy stems

Step-by-step explanation:

beks73 [17]3 years ago
6 0

Answer:

64 ivy stems

Step-by-step explanation:

To solve this problem we can use rule of three:

Firstly we had 72 ivy stems to use in 18 centerpieces, and know we have 16 centerpieces and want to know how many ivy stems we need to use, so:

18 centerpieces -> 72 ivy stems

16 centerpieces -> X ivy stems

18/16 = 72/X

X = 16*72/18 = 64

He needs to use now 64 ivy stems to maintain the ratio.

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Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}

A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}

C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
4 years ago
If you park 3 levels below the lobby floor of a hotel and take the elevator to the 15th floor, how many floors apart are you fro
klio [65]
So the lobby would be the 1st floor, and the level you parked your car on would be the -3rd level.

15+3 would be 18. So you are 18 levels away from your car
8 0
4 years ago
Read 2 more answers
Freddy is two years old than her brother. Twelve years ago, she was twice as old as he was. How old were they? Equation
Hitman42 [59]
F=2+b
12 years ago
f-12=2(b-12)
f=2+b
2+b-12=2(b-12)
b-10=2b-24
minus b both sides
-10=b-24
add24
14=b

14-12=2
2+2=4

freddy was 4 and brother was 2
they are now 16 and 14
8 0
3 years ago
A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they
nekit [7.7K]
They would need 4 boxes
8 0
2 years ago
If a boy 5 feet tall casts a shadow 14 feet long, what will be the length of the shadow of a tree that is 25 feet high?
klemol [59]

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft

6 0
4 years ago
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