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saw5 [17]
2 years ago
4

Four pounds of apples cost $5. eight pounds of apples cost $10. if the total cost of apples, y, varies directly with the number

of pounds of apples purchased, x, what is the cost of 6 pounds of apples? round your answer to the nearest hundredth.
Mathematics
2 answers:
olganol [36]2 years ago
7 0
4/5 = $0.80/lb.
8/10 = $0.80/lb.
y/x = $0.80/lb.

6/x = $0.80/lb. 
x = 4.80

The cost of 6 pounds of apples would be $4.80
jeyben [28]2 years ago
4 0

Answer:

Cost of 6 pounds of apples is:

$7.50

Step-by-step explanation:

Four pounds of apples cost $5.

Cost of 4 pounds of apple= $5

The total cost of apples varies directly with the number of pounds of apples purchased.

so, Cost of 1 pound of apples= $5/4

                                          = $1.25

Cost of 6 pounds of apples= $(1.25×6)

                                             = $7.5

Hence, cost of 6 pounds of apples is:

$7.50

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xz_007 [3.2K]

Answer:

It goes 18 cm every second:

18 x 4 = 72 cm

The bridge is 72 cm long.

Hope this helps!

3 0
2 years ago
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Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay
Pavel [41]
Ok to find the answer all you have to do is multiply 87.60*10=876
then do the same for 26.60*10=256 then you subtract 856-256
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6 0
2 years ago
The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val
Tpy6a [65]

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere  = (\frac{500}{3})\pi cubic units  ... (1)

Also, radius of the sphere  = x  units

Now, VOLUME OF SPHERE  = (\frac{4}{3}) \pi r^3

So, volume of a sphere with radius x  = (\frac{4}{3}) \pi (x)^3

But volume of sphere is given by (1).

\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3})  \times (\frac{3}{4})  = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x  = 5

Hence, radius of the sphere = 5 units.

4 0
2 years ago
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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
2 years ago
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph? (−5,
Umnica [9.8K]
The x-coordinate of the axis os symmetry of a quadratic is the x-coorfinate of its vertex. To find the y-coordinate of the vertex here we would substitute -5 for x in:

f(x) =   - {x}^{2}  - 10x + 16 \\ so \: we \: have \:  \\ f( - 5) =  - ( { - 5)}^{2} - 10( - 5) + 16 \\  =  - 25 + 50 + 16 = 41
The coordinates of the vertex are (-5,41)
8 0
2 years ago
Read 2 more answers
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