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GalinKa [24]
3 years ago
7

Amanda has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that wei

gh 70 ounces each. There is a combined total of 930 cans and bottles in her truck. Let x be the number of 14 -ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

T(x)= 14x + 70(930-x)
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Find the approximate perimeter of rectangle ABCD plotted below. B(4,5) AC -6,0) C(8,-3) D(-2,-8) Choose 1 answer: Do 5 problems
Likurg_2 [28]

Answer:

Perimeter of rectangle ABCD = 47.62

Step-by-step explanation:

The perimeter of a rectangle is P = 2(length + width)

You need to find length and width

If you graph, you can pick your length length and your width

Pick two points after you graph, for (x_{1},y_{1})  and (x_{2},y_{2})

Use the distance formula to find the length =\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} ^{2})}

point B (4,5) will be point 1 and point C (8,-3) will be point 2

Substitute

length =\sqrt{(8 - 4 )^{2} + (-3- 5 )^{2}}\\

length = \sqrt{80}

length = 8.94

Use the distance formula to find the width =\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} ^{2})}

point C (8,-3) will be point 1 and point D (-2,8) will be point 2

Substitute

width =\sqrt{(-2 - 8 )^{2} + (8- (-3) )^{2}}\\

width =\sqrt{(-10 )^{2} + (11 )^{2}}\\

width =\sqrt{100 + 121}\\

width = \sqrt{221}

width = 14.87

Now use formula P = 2(length + width)

P = 2(8.94 + 14.87)

Perimeter of rectangle ABCD = 47.62

7 0
2 years ago
If two lines intersect, then they intersect in exactly one _____ point. line. postulate. plane.
Rom4ik [11]

Answer: the answer is A. point

6 0
3 years ago
A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now
marusya05 [52]

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

 

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

 

<span>Hence the bottle is now one half full</span>

8 0
3 years ago
Read 2 more answers
M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Pachacha [2.7K]

<u>The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.</u>

Answer:

<em>x = 10</em>

Step-by-step explanation:

<u>Internal Angles of a Triangle</u>

The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:

48 - x + 9x - 38 + 90 = 180

Simplifying:

100 + 8x = 180

Subtracting 100:

8x = 180 - 100 = 80

x = 80/8

x = 10

7 0
3 years ago
I don't understand how to go about solving this equation more specifically the "y". Any help is appreciated. (:
Archy [21]

Answer:

y^2/x^6

apply exponent rule:

x^-2/x^4=1/x^4-(-2)=y/y^-1 x^4 -(-2)

then you subtract 4-(-2)=6

y/x^6 y^-1

cancel out the common factor: y^-1 and you get

y^2

------

x^6

6 0
2 years ago
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