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sergejj [24]
3 years ago
9

Does anyone know this??

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer: 21

Step-by-step explanation: To solve this problem, we can first set up a proportion because we know that 3 is to 7 as 9 is to x.

So we have \frac{3}{7} = \frac{9}{x}.

Now, we can use cross products to find the missing value.

So we have 3 time x which is 3x and 7 times 9 which is 63.

Rewriting our equation, we have 3x = 63.

Dividing both sides by 3, we find that <em>x = 21</em>.

So, <em>x = 21</em>.

The red arrows in the middle mean that they are parallel so the slopes are the same.

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Find the gradients for line A and B.<br><br> See pic attached
pogonyaev
Gradient is the difference between the y-axis and the x-axis
Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4

Finalized answer
Line B gradient = -2
Line A gradient = +4
8 0
2 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
3 years ago
community gym charges a $50 membership fee and a $60 monthly fee. Workout gym charges a $225 fee and a $5 monthly fee. After how
DIA [1.3K]

Answer:

3.1818... months

Step-by-step explanation:

x = months

50 + 60x = 225 + 5x

55x = 175

x = 3.1818...

7 0
3 years ago
If mBDE = 125 what is mGDF? A) 35. B) 45. C) 55. D) 65
joja [24]
A supplmentary angle = 180°

∠BDE and ∠BDF are vertical angles, and so are congruent.

∠BDF = 125°, because ∠BDF ≅ ∠BDE.

∠CDA ≅ ∠EDF

∠CDA = 90°


<span>line BJ </span> is angle bisector of ∠CDA. ∠CDB is 1/2 of ∠CDA

∠CDA = 90°

∠CDB = 90/2
∠CDB = 45°

∠GDF is a vertical angle of ∠CDB, and it's measurement will be the same as ∠CDB.

∠GDF ≅ ∠CDB
∠CDB = 45°
∠GDF  = 45°


∠GDF  = 45° should be your answer

hope this helps
7 0
3 years ago
Read 2 more answers
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.
ra1l [238]

Answer:

0.025

Step-by-step explanation:

Hello!

Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:

P(x)=\frac{1}{55-45} = \frac{1}{10}

Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:

P(51.5

Therefore:

P(51.5<x<51.75) = 0.025

or

P(51.5<x<51.75) = 2.5%

<em><u>I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class  or selecting a class. I think both probabilities are the same.</u></em>

7 0
3 years ago
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