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Alika [10]
3 years ago
6

Susan has a collection of 65 nickels and dimes. If the number of nickels is four times the number of dimes, how many nickels and

how many dimes does she
have?
Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

d = 13 and n = 52

Step-by-step explanation:

Number of dimes:  d

Number of nickels:  n

Then d + n = 65, and n = 4d

Substituting 4d for n in the first equation, we get:

d + 4d = 65, or 5d = 65.  Then d = 13 and n = 52

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HELP QUICKKKKK:Point B lies on the segment AC whose length AC = a cm. Find the distance between the midpoints of segments AB and
Andru [333]

Answer with Step-by-step explanation:

We are given that point B lies on the segment AC.

Length of AC= a cm

We have to find the the distance between the midpoint of segment AB and BC.

When B lies on the segment AC.

Let mid point of segment AB and BC are E and F.

E is the midpoint of segment AB.

Therefore, AE=EB

BF=FC

AC=AE+EB+BF+FC=EB+EB+BF+BF

a=2EB+2BF

2(EB+BF)=a

EB+BF=\frac{a}{2}

Distance between E and F is given by

EF=EB+BF

EF=\frac{a}{2} cm

Hence, the distance between the midpoints of segment AB and BC is given by

EF=\frac{a}{2} cm

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3 years ago
Find a pair of 3 digit numbers that have an estimated difference of 520
irakobra [83]
The answer is 250 and 770
4 0
3 years ago
One angle of a triangle measures 140°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?
djyliett [7]
STEP 1:
Triangles= 180°

Other Angles= 7:13= 7x + 13x

Add all the angles to equal 180°

140° + 7x + 13x= 180°
combine like terms

140° + 20x= 180°
subtract 140 from both sides

20x= 40
divide both sides by 20

x= 2


STEP 2:
substitute x value to find other two angles

7x= 7(2)= 14° one angle

13x= 13(2)= 26° other angle


CHECK:
140° + 14° + 26°= 180°
140 + 40= 180
180= 180


ANSWER: The other two angles measure 14° and 26°.

Hope this helps! :)
7 0
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ozzi

Answer:

Step-by-step explanation:

All of the answer choices are in slope-intercept form.

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3 years ago
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