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Lera25 [3.4K]
3 years ago
9

Martha wants to rent a car for a week and to pay no more than $130. How far can she drive if the car rental costs $94 a week plu

s $.12 a mile?
Mathematics
1 answer:
stepan [7]3 years ago
8 0
Martha can drive 300 miles.
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Lori is three times as old as Michelle. In five years Michelle's age will be one half of Lori's age. How old are Lori and Michel
AURORKA [14]

Answer:

Lori's age is 15 years old and Michelle's age is 5 years old now

Step-by-step explanation:

Let

x-----> Lori's age

y ----> Michelle's age

we know that

x=3y-----> equation A

(y+5)=\frac{1}{2}(x+5) ----> equation B

substitute equation A in equation B and solve for y

(y+5)=\frac{1}{2}(3y+5)

2y+10=(3y+5)

3y-2y=10-5

y=5

Find the value of x

x=3(5)=15

therefore

Lori's age is 15 years old and Michelle's age is 5 years old now

7 0
3 years ago
If the null space of A4×5 is exactly a two-dimensional plane, answer the following:
Hatshy [7]

Answer:

I.

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

V.

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0
3 years ago
Find the area of the following parallelogram:​
nalin [4]

Answer:

216

Step-by-step explanation:

18 which is the base will be multiplied by the height which is 12 giving you

18 x 12 = 216

6 0
3 years ago
(1CQ) Write the repeating decimal as a fraction .51
egoroff_w [7]

Answer: Your answer is 17/33! Hope this helps. If you need anymore help let me know!

8 0
3 years ago
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Pie graphs should be used when the data is represented as a percentage.<br><br><br> True<br> False
horrorfan [7]

Answer: True

Hope this helps!

3 0
3 years ago
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