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pantera1 [17]
4 years ago
12

Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your

variables and set up a system of equations with two equations
Mathematics
1 answer:
Juliette [100K]4 years ago
5 0

Answer:

Fred has saved $115 while Wilma had saved $230

Step-by-step explanation:

Let the amount saved by Fred be F while the amount saved by Wilma be W

Together, they have saved $345

Mathematically;

F + W = 345 •••••••(i)

We are also told that Wilma has have twice as much money as Fred;

Hence; W = 2F ••••••••(ii)

To get the amount of money they both have, we need to solve the equations simultaneously

Substitute ii into i

F + 2F = 345

3F = 345

F = 345/3

F = 115

But W = 2F

W = 2 * 115

W = 230

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Given: KLMN is a trapezoid, m∠N= m∠KML, FD=8, LM KN = 3/5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3 root5 Find: KM
Alla [95]

Answer:

The length of KM is \sqrt{109} units.

Step-by-step explanation:

Given information:  KLMN is a trapezoid, ∠N= ∠KML, FD=8, \frac{LM}{KN}=\frac{3}{5}, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3\sqrt{5}.

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is 3\sqrt{5}.

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since \frac{LM}{KN}=\frac{3}{5}, therefore LM is 3x and KN is 5x.

\frac{3x+5x}{2}=8

\frac{8x}{2}=8

x=2

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

KN=KA+AE+EN

10=6+2(EN)                (KA=EN, isosceles trapezoid)

EN=2

KE=KN-EN=10-2=8

Therefore the length of KE is 8.

Use pythagoras theorem is triangle EKM.

Hypotenuse^2=base^2+perpendicular^2

(KM)^2=(KE)^2+(ME)^2

(KM)^2=(8)^2+(3\sqrt{5})^2

KM^2=64+9(5)

KM=\sqrt{109}

Therefore the length of KM is \sqrt{109} units.

5 0
3 years ago
The area of a circle is 12.56 square miles. What is the circle's radius?Use 3.14 for 
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You would go... 12.56 divided by 3.14=diameter
the diameter is equal to 4. the diameter is two times the diameter though so, all you have to do is divide that by 2. 4 divided by 2=2!    <u>your answer is 2</u>
8 0
3 years ago
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3 years ago
Each morning, Jared needs 60 minutes to get ready for school. Kira needs 7/12 as much times as Jared. How many minutes does kiar
Fudgin [204]

Answer:

Kira takes 35 minutes to get ready for school.

Step-by-step explanation:

The time taken by Jared to get ready for school is, 60 minutes.

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Compute the time taken by Kira as follows:

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3 years ago
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The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

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stay safe!! wash ur hands and wear a mask :D

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