Answer:
AandB=80miles
Total=240miles
Step-by-step explanation:
Draw the figure first indicating the figures then find the distance each degrees then find the total
The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>
The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
Read more about line segments at
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Answer:
A minimum of 10 dimes and 11 quarters is what Alexandra will have
Step-by-step explanation:
Let
d = number of dimes
q = number of quarters
Since she has 21 coins altogether,
d + q = 21------------------------equation 1
- If these coins are worth $3.75 then
0.10 x d + 0.25 x q = 3.75
- which is 0.10d +.25q =3.75
--------------------------equation 2
where $.10 is the value of one dime and $.25 is the value of one quarter
make d the subject of formula from equation 1 d = 21 -q----------equation 3
insert it in equation 2
0.10d +0.25q =3.75
0.10(21-q) + 0.25q = 3.75
0.1(21)-0.1q+0.25q=3.75
2.1 +0.15q = 3.75
0.15q = 3.75-2.1 = 1.65
q = 1.65/0.15 =165/15 =11
- since we have the value of q insert in equation 3
d = 21 - q
d = 21-11
d = 10
Alexandra has 10 dimes and 11 quarters.
from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have
Answer:
x=0, y=0
x=8, y=4
Step-by-step explanation:
y= 1/2x
y=1/2(0)
y=0
y=1/2x
y=1/2(8)
y=4
Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.
x= amount of broth in one serving
(4 3/4)/10= x/1
cross multiply
(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction
(19/4)(1)= 10x
19/4= 10x
divide both sides by 10
19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10
19/4 * 1/10= x
multiply numerators; multiply denominators
(19*1)/(4*10)= x
19/40 cup= x
ANSWER: 19/40 cup in one serving
Hope this helps! :)
