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guapka [62]
2 years ago
11

A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for

$222, find how many of each type she bought.
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

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Answer:
x^3-4x^2-5x+3

explanation:
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x(x^2)-4x^2-5x+3
3 0
3 years ago
A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells abov
mihalych1998 [28]

Answer:

Commission = $375

Total earnings = $600

Step-by-step explanation:

He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;

= 3% * $12500

= \frac{3}{100} * $12500

= 3* 125

= $375

This means his total earnings for the week will be the basic wage plus his commission

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= $600

3 0
3 years ago
The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i
aleksley [76]

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 5+ 8i

Given that:

Z_1 = 1 + 3i

Z_2 = 4 + 5i

Since O is the origin, then:

C = OA + OB

This means that:

Z_3 = Z_1 + Z_2

So, we have:

Z_3 = 1 + 3i + 4 + 5i

Collect like terms

Z_3 = 1 + 4+ 3i  + 5i

Z_3 = 5+ 8i

Hence, complex number Z3 is 5+ 8i

Read more about complex numbers at:

brainly.com/question/18509723

8 0
3 years ago
I got 1.1... is that right?
kap26 [50]

No, the answer is 2

X=2

This is because if we multiply the number by x which is 2

so DST is 110, and RSD is 44, so that is 154, and if we do it with RST we also get 154

So the correct answer is X=2

3 0
3 years ago
Use the Distributive Property <br> 8(3x+2)
MA_775_DIABLO [31]

Answer:24x+16

Step-by-step explanation:

8 0
3 years ago
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