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UkoKoshka [18]
3 years ago
5

Y=x+5 y=-2x-4 use substitution

Mathematics
1 answer:
blondinia [14]3 years ago
7 0
You have to do Y= -2+5-4
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Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc
rodikova [14]

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

8 0
2 years ago
3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses
shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.  

b. What is the minimum payment due if the bill is $345?  

c. What is the minimum payment due if the bill is $1410?  

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

a)

B(x)=\left \{ {{x\ \ \ x

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0
3 years ago
Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic he now has $32 how much money did he
defon

Answer:

9.67

Step-by-step explanation:

32-22.33=9.67

Hope it helps ;)

8 0
3 years ago
Read 2 more answers
What is the greatest possible integer solution of the inequality 5.838x &lt; 24.124?
Artyom0805 [142]
I believe the answer would be C. 4. hope that helped
4 0
3 years ago
Read 2 more answers
3. Let U and V be subspaces of a vector space W. Prove that their intersection UnV is also a subspace of W
kenny6666 [7]

Answer:  The proof is done below.

Step-by-step explanation:  Given that U and V are subspaces of a vector space W.

We are to prove that the intersection U ∩ V is also a subspace of W.

(a) Since U and V are subspaces of the vector space W, so we must have

0 ∈ U and 0 ∈ V.

Then, 0 ∈ U ∩ V.

That is, zero vector is in the intersection of U and V.

(b) Now, let x, y ∈ U ∩ V.

This implies that x ∈ U, x ∈ V, y ∈ U and y ∈ V.

Since U and V are subspaces of U and V, so we get

x + y ∈ U  and  x + y ∈ V.

This implies that x + y ∈ U ∩ V.

(c) Also, for a ∈ R (a real number), we have

ax ∈ U and ax ∈ V (since U and V are subspaces of W).

So, ax ∈ U∩ V.

Therefore, 0 ∈ U ∩ V and for x, y ∈ U ∩ V, a ∈ R, we have

x + y and ax ∈ U ∩ V.

Thus, U ∩ V is also a subspace of W.

Hence proved.

7 0
3 years ago
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