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3 years ago

What will be the multipicative inverse of -1/4??

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Answer:

-4.

Step-by-step explanation:

Let x be the multiplicative inverse, then:

-1/4 * x = 1

x = 1 / (-1/4)

= 1 * -4

= -4.

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32° 45° 48° 20° FIND WZC

gayaneshka [121]

Answer:

48°

Step-by-step explanation:

In triangle CYZ, angles Y and C are complementary, so ...

(5x +22) + (12x) = 90

17x +22 = 90

17x = 68

x = 4

The angle of interest is 12x° , so has measure

12·4° = 48°

3 0

3 years ago

Read 2 more answers

Chelsea took out three loans for a total of $ 78 comma 000 78,000 to start an organic orchard. Her business-equipment loan was

lianna [129]

Answer:

Business-equipment loan, A=$15000

Small-business loan, B=$24000

home-equity loan, C= $39000

Step-by-step explanation:

Let the Business-equipment loan at an interest rate of 11%=A

Let the small-business loan was at an interest rate of 5% =B

Let her home-equity loan was at an interest rate of 4.5%.=C

Since her total Loan=$78000

A+B+C=78000....(I)

Simple Interest = (P X R X T)/100

Since the Time, T=1 year

Interest on A = 0.11A

Interest on B = 0.05B

Interest on C = 0.045C

The total simple interest due on the loans in one year was $4605.

0.11A+0.05B+0.045C=4605....(II)

The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.

0.045C = 0.11A +105...(III)

We proceed to solve the simultaneous equations.

A+B+C=78000....(I)

0.11A+0.05B+0.045C=4605....(II)

0.045C = 0.11A +105...(III)

From (III), 0.045C = 0.11A +105

Substitute 0.045C = 0.11A +105 into (II).

0.11A+0.05B+0.11A +105=4605

0.22A+0.05B=4500

From (III),

$C=\frac{22A}{9}+\frac{7000}{3}$

Substitute into (I)

$A+B+\frac{22A}{9}+\frac{7000}{3}=78000$

$\frac{31A}{9}+B=78000-\frac{7000}{3}$

$\frac{31A}{9}+B=\frac{227000}{3}$

$\frac{31A+9B}{9}=\frac{227000}{3}$

3(31A+9B)=9 X 227000

31A+9B=681000

0.22A+0.05B=4500 (Multiply by 9)

31A+9B=681000 (Multiply by 0.05)

1.98A+0.45B=40500

1.55A+0.45B=34050

Subtracting

0.43A=6450

A=$15000

From (III)

$C=\frac{22A}{9}+\frac{7000}{3}$

$C=\frac{22X15000}{9}+\frac{7000}{3} =39000$

C=$39000

from (I)

A+B+C=78000

15000+B+39000=78000

B=$24000

8 0

3 years ago

Anyoneee?? Mean Median and mode

juin [17]

Answer:

mode is the most occuring number which is in this case 11

you get the median by putting them in order from least to greatest and them marking them out until you get to the middle but if there are two numbers in the middle you add them and then divide by two and that is your median but in this case your median is 11

you get the mean by adding all the numbers together and dividing by how many numbers there are so in this case you are dividing by 9 and when you add oall of these numbers together you get 98 and 98/9 is 10.8888888889 which you would round and get 10.9

hope this helps

3 0

3 years ago

Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your

Mandarinka [93]

X=-4 x=0 x=5
5-4-12=-4-7 5+0-12=0-7 5+5-12=5-7
-11=-11 -7=-7 -2=-2

6 0

4 years ago

the cost of a limited edition baseball card increases from $20 to $40. What percent did the price increase by?

serious [3.7K]

Answer:

100%

Step-by-step explanation:

100% of 20 is 20

half of 40 is 20

5 0

3 years ago

Read 2 more answers