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babunello [35]
3 years ago
15

A company sells fruit smoothies in two sizes: 6 ounces and 11 ounces. You know that a 6-ounce bottle contains 96 milligrams of s

odium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 11-ounce bottle contain?
Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

62.2

explanation:

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Given the vectors, a=3i+4j, b=-2i+5j, c=10i-j, d=-1/3i + 5/2j, find a+(b-c)=?
Tomtit [17]

Answer:

  a +(b -c) = -9i +10j

Step-by-step explanation:

You can use the distributive property to remove the parentheses:

  a +(b -c) = a + b - c

Add the vectors as though they were binomials.

  a + b - c = (3 -2 -10)i +(4 +5 -(-1))j = -9i +10j

4 0
3 years ago
The coordinates of the vertices of ∆PQR are P(-2,5), Q(-1,1), and R(7,3). Determine whether ∆PQR is a right triangle. Show your
Mashutka [201]

Given

∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

Determine whether ∆PQR is a right triangle

To proof

As given ∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

First find out the sides of triangle

FORMULA

Distance formula between two points

D^{2}= (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

 Distance   between two points P(-2,5) and Q(-1,1)

PR = \sqrt{(-1+2)^{2}+(1-5)^{2}  }

PR = \sqrt{17}

Distance between two points Q(-1,1)and  R(7,3)

QR = \sqrt{(7+1)^{2} +(3-1)^{2}  }

QR =\sqrt{68}

Distance between two points  R(7,3) and P(-2,5)

RP =\sqrt{(-2-7)^{2} + (5-3)^{2}  }

RP=\sqrt{85}

now show that ∆PQR is a right triangle

RP^{2} = PQ^{2} +QR^{2}

Putting the value given above

(\sqrt{85}) ^{2} = \sqrt{17} ^{2} +\sqrt{68} ^{2}

85 = 17 +68

85 =85

In the right triangle

HYPOTENUSE² = BASE² + PERPENDICULAR²

This is prove above

Hence ∆PQR is a right triangle

Hence proved










7 0
4 years ago
One year, the Sahara Desert received 0.98 inches of rain. That same year the rain forest in Brazil received 342 inches. How much
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Gjgxgioilgghgjkhvyuguyykuyl

3 0
3 years ago
Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pou
Nady [450]

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

7 0
3 years ago
Read 2 more answers
What's 4(2a)+7(-4b)+(3•c•5) in standard form?
Natasha_Volkova [10]

Answer:

4(2a)+7(-4b)+(3•c•5)

8a -28b +(15*c)

Step-by-step explanation:

6 0
3 years ago
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