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JulijaS [17]
2 years ago
15

Assume the situations are proportional. Use the unit rate to write an equation, then solve.

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
5 0
The car would be 17 gallons of gas, because the unit rate is 34 miles per gallon. Divide 578 by 34, and there you go! You'll get 17, which is the gallons. You, my friend, have just solved for x.
You might be interested in
What is X? x divided by 4/9 = 9/10
Damm [24]

Answer:

2/5

Step-by-step explanation:

\frac{x}{\frac{4}{9} } =\frac{9}{10}

(\frac{9}{10})(\frac{4}{9} )=\frac{36}{90}

36 divided by 90 is 2/5.

When solving for X you do the opposite to a number if you are moving it to the other side of the problem. so, since x is being divided by 4/9, 4/9 would be multiplied to the opposite or to the 9/10.

7 0
3 years ago
Which function is graphed?
Rufina [12.5K]

Answer:

C or d

Step-by-step explanation:

4 0
3 years ago
A plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone. What conic section is for
lisabon 2012 [21]
<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. 
 The standard form of the equation of the hyperbola is shown below:
 [(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)
 </span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span>
  Therefore, the answer is: Hyperbola.
</span>
3 0
2 years ago
UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for
Pavlova-9 [17]

Answer:

12 pounds

Step-by-step explanation:

We we need to write equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15(x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25(x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

8 0
3 years ago
Burnwood Tech plans to issue some $50 par preferred stock with a 8% dividend. A similar stock is selling on the market for $65.
Vanyuwa [196]

Answer:

6.5%

Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

=$4

Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

= $65-3.9

= $61.1

Therefore cost of preferred stock is

= 4/61.1 ×100

= 0.065×100

= 6.5%

Hence the cost of preferred stock is 6.5%

8 0
2 years ago
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