1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
3 years ago
5

Set up a proportion and use it to solve for x. 4 3 х 6

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

\frac{3}{6} =\frac{7}{6+x}

Step-by-step explanation:

There are two similar triangles in this figure. The small one has a base of 6 and a height of 3.

The bigger triangle has the smaller one included in it, so you must add together the bases, 6 and x, and the heights, 3 and 4, to get the proportion.

You might be interested in
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y
Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y

2. Solve for y in the second equation and substitute it into the first one.Then, you have:

y=\frac{64}{x^{2}}  \\ SA=x^{2} +4x(\frac{64}{x^{2}})

3. Now, derivate:

SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0

4. When you solve for x, you obtain:

2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}}  \\ x=5.03

5. Now, you must calculate y:

y=\frac{64}{(5.03)^{2}} \\ y=2.52

Therefore, the dimensions are:

The sides of the base of the tank: 5.03 feet

The height of the tank: 2.52 feet

8 0
3 years ago
What are the solutions to 4(x+5)^2=4?
aleksandr82 [10.1K]
(X+5)²=4/4
X+5=1,          X+5=-1
X=1-5            X=-1-5
X=-4             X=-6
                      
4 0
4 years ago
Read 2 more answers
Larry made 4 batches of punch. Each batch uses 24 fluid ounces of lemon juice and 6 pints of orange juice. If each serving is 1
Lapatulllka [165]

Answer:

to make one serving u would need

4 ounces of lemon juice

1 pint of orange juice

Step-by-step explanation:

4 0
3 years ago
(Please help fast.)
Mrrafil [7]

Answer:

107%

Step-by-step explanation:

Emma spending 7% more on the sweater than the shoes can be represented by x + 7%, where x is the price of the shoes.

The shoes are worth 100%, or one whole, because you can't buy half a shoe or more than one whole shoe, etc.

So to find how much more the sweater is, add 100% to 7%, or how much more the sweater is.

100% + 7% = 107%

The cost of the sweater is 107% of the cost of the shoes.

7 0
4 years ago
13 more than 4 times a number is negative 91 how would i find the number?
alekssr [168]
<span>13 more than 4 times a number is negative 91 

</span>Convert to numbers: 


13 more than 4: 4+13

times a number: (x)

is negative 91: = -91

Put it together: 

4x+13=-91

                   x = -26

                  



5 0
4 years ago
Read 2 more answers
Other questions:
  • a parralelogram has a base of 19 inches, a height of 9 inches, and left and right sides that are each 11 inches. what is the per
    13·1 answer
  • How can the answer to the problem x-6=5 be checked?
    10·1 answer
  • Which graph below has an EULER CIRCUIT?<br><br> A<br><br> B<br><br> C<br><br> D
    10·1 answer
  • Please help asap 50 pts
    9·2 answers
  • How do you answer 7.86 divded by .2
    6·2 answers
  • 2. Which expression(s) can represent the sale price of the boots where x is the original price of the boots? Select ALL that app
    15·1 answer
  • Photo attached to this
    7·1 answer
  • Convert: ____seconds=5/6 minute
    13·2 answers
  • 7x(15+5) plz help me solve this question by formula BODMAS
    14·1 answer
  • Someone please help me with this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!