shari has 1 1/2 gallons of orange juice. She wants to serve the orange juice equally among her 12 friends. How many ounces of juice will each friend receive

Answers

Answer 1

Answer: I got the answer 8 ounces. First you convert the gallons into ounces. There are 64 ounces in a gallon. But then one half of a gallon equals 32 ounces. Add 32+64=96. Then divide the 96 by the 12 friends. You would get 8. And so that is the answer. I hope you found this helpful!

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What property is illustrated by each statement? 7+(4+4)=(7+4)+4A. Inverse property of addition B. Associative property of addition C. Commutative property of addition
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Your record bicycle pace along a favorite trail is 16 mph. On a recent ride, you traveled the 25 mile route in a time of 90 minutes. What was your average speed? Did it break your record pace?

Let L1 be the line passing through the points Q1=(−1, 5, 2) and Q2=(−2, 7, 3) and let L2 be the line passing through the point P1=(−8, 4, 9) with direction vector →d=[−6, 3, 6]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.

Answers

Answer:

yes they intersect

point of intersection is (-17.6,38.2,18.6)

Step-by-step explanation:

the direction vector for L2 is given but for L1 it is not given.

Let's first find the direction vector for the L1 as;

from points Q1 and Q2 we can find the direction vector by subtracting there corresponding coordinates (x,y,z) as;

-1-(-2), 5-7, 2-3

direction vector for L1= [1,-2,-1]k

Now the equation for L1 is;

x1=-2+k

y1=7-2k

z1=3-k

direction vector for L2 is =[−6, 3, 6]T

So the equation for the L2 is;

x2=-8-6T

y2=4+3T

z2=9+6T

If these points are intersecting then there x coordinates must be equal, y coordinates must be equal and z coordinates must also be equal as;

x1=x2; y1=y2; z1=z2;

-2+k=-8-6T.......(a)

7-2k=4+3T.......(b)

3-k=9+6T.........(c)

subtracting (a) and (c) we get

-2+k=-8-6T

-( 3-k=9+6T)

______________

-5+2k=-17-12T.......(d)

adding (b) and (d) we get

7-2k=4+3T

-5+2k=-17-12T

______________

-2=13-9T

T=1.6 putting in (a) we get k as;

-2+k=-8-6(1.6)

k=-15.6

putting T and k, if it satisfy the equation then they intersect

(c)=3-(-15.6)=9+6(1.6)

18.6=18.6 satisfied.

thus they intersect each other and their point of intersection is

x=-2-15.6

x=-17.6

y=7-2(-15.6)

y=38.2

z=3-(-15.6)

z=18.6

point of intersection is (-17.6,38.2,18.6)

Garland started the week with an odometer reading of 58,240 miles and a full tank. He ended the week with an odometer reading of 58,615, and he re-filled the tank with 15 gallons of gas. How many miles per gallon did he get to the nearest whole number? (Points : 2) 25
24
23
22

Answers

Answer:

A. 25.

Step-by-step explanation:

We have been given that Garland started the week with an odometer reading of 58,240 miles and a full tank. He ended the week with an odometer reading of 58,615, and he re-filled the tank with 15 gallons of gas.

To find the mileage for Garland's bike we will divide total distance traveled by total used fuel.

$\text{Mileage}=\frac{\text{Total distance}}{\text{Total amount of fuel}}$

$\text{Mileage}=\frac{\text{58,615 miles - 58,240 miles}}{\text{15 gallons}}$

$\text{Mileage}=\frac{\text{375 miles}}{\text{15 gallons}}$

$\text{Mileage}=\frac{\text{25 miles}}{\text{ gallon}}$

Therefore, Garland get a mileage of 25 miles per gallon and option A is the correct choice.

your answer is 25 miles per gallon!

What’s perimeter?
A)all the sides of the shape are added together?
B)ur ans

Answers

Answer:

do length + width and you will find your answer

Step-by-step explanation: /\

Which answer is the solution set in simplest form 6x-1/5=3/1

Answers

6x - 1/5 = 3

Do the inverse operation.

6x - 1/5 = 3
+1/5 +1/5

6x = 3 1/5

6x/6 = 3 1/5 /6

KCF:- Keep the first fraction, change the sign, flip the second fraction.

3 1/5 divided by 6/1

3*5 +1 = 15+1 =16

16/5 * 1/6

16*1 = 16
5*6 = 30

16/30 = 16/2 and 30/2
8/15

Final answer: x = 8/15

$6x - (1)/(5) = (3)/(1) \n \n 6x - (1)/(5) = 3 \n \n 6x = 3 + (1)/(5) \n \n 6x = (16)/(5) \n \n x = (16)/(5 * 6) \n \n x = (16)/(30) \n \n x = (8)/(15) \n \n Answer: \fbox {x = 8/15} \ or \ \fbox {x = 0.5333}$

Eight less than the quotient of a number and 3 is 5

Answers

$x-number\n\n quotient\ of\ 3\ and\ x: 3*x\n\n 3x-8=5\n\n 3x=5+8\n\n 3x=13\ |:3\n\n x=(13)/(3)=12(1)/(3)$

HELP..Maya spent 40% of her savings to pay for a bike that cost her $85 how much money was in her savings to begin with?

Answers

If 40% or .4 of her savings is $85 then we can write the equation .4s=$85 (s being the original amount in savings)
Divide both sides by .4 to get s= $212.50 as the original amount that she had

$85 is 40% of her savings.

So,

40% of x is egual to $85
40/100x = 85
0,4x = 85
x = 85 / 0,4
x = 212,5

$ANSWER = \$ 212,50$

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