1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lord [1]
3 years ago
9

Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale. if she bought 22 frames

for $239, find how many of each type she bought.
Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0

small frames ($8): s

large frames ($15): L


Cost:        8s + 15L = 239   ⇒ 1(8s + 15L = 239)   ⇒    8s + 15L = 239  

Quantity:   s  +   L   = 22   ⇒  -8( s  +   L   = 22)   ⇒  <u> -8s   -8 L  = -176 </u>

                                                                                               7L  = 63

                                                                                                  L = 9

Quantity:   s + L = 22 ⇒   s + (9) = 22   ⇒   s = 13

Answer: 13 small frames, 9 Large frames

Alex17521 [72]3 years ago
7 0

Answer:

9 large frames and 13 small frames

Step-by-step explanation:

Then number of each type can be found simultaneously by interpreting the given statements into equations. As such, if the number of the large frames and small frames purchased are a and b respectively. if she bought 22 frames then,

a + b = 22

Furthermore, if Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale for $239 then

15a + 8b = 239

solving both simultaneously,

b = 22 - a

15a + 8(22 - a) = 239

15a -8a + 176 = 239

7a = 239 - 176

7a = 63

a = 9

b = 22 - 9

= 13

You might be interested in
Box all final answers. Little to no work will reccive little to no credit! I. (5 points) Let A and B be 4 x 4 matrices, with det
FinnZ [79.3K]

Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

\mid AB\mid=\mid A\mid.\mid B\mid\\\\\mid AB\mid=-3\times 2=-6

b) det (B⁵ )

\mid B^5\mid=\mid B\mid ^5=2^5=32

c) det (2A)

Since we know that

\mid kA\mid =k^n\mid A\mid

so, it becomes,

\mid 2A\mid =2^4\mid A\mid=16\times -3=-48

d) \bold{det(A^TA)}

Since we know that

\mid A^T\mid=\mid A\mid

so, it becomes,

\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9

e) det (B⁻¹AB)

As we know that

\mid B^{-1}\mid =\mid B\mid

so, it becomes,

\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

6 0
3 years ago
A study was conducted on the relationship between speeds of cars and gas mileage. The correlation coefficient was 0.45. Later, t
True [87]

Answer:

0.45

Step-by-step explanation:

The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.

For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.

Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.

8 0
3 years ago
Amir evaluated 5x - (x + 3)2 for x = 2, as shown. Describe Amir's mistake and find the correct answer. 5(2) - (2 + 3)2 = 10 + (-
Korvikt [17]

5 \times 2 - (2 + 3) \times 2 = 10 - 5 \times 2 = 10 - 10 = 0
7 0
2 years ago
Read 2 more answers
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
insens350 [35]

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

4 0
2 years ago
Carly's dog weighs 25 pounds and her cat weighs 12 pounds how much more does her dog weigh then her cat
Anettt [7]

Answer:

13 pounds

Step-by-step explanation:

21-12=13

7 0
2 years ago
Read 2 more answers
Other questions:
  • En el juego de domino son 28 fichas con la cara hacia abajo cual es la probabilidad de sacar la ficha 6-7
    7·1 answer
  • Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6%
    12·1 answer
  • What is the domain of g(x)?​
    9·1 answer
  • The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the v
    14·1 answer
  • If 2/3n= -12 what is the value of n=​
    10·2 answers
  • Not sure need help ​
    10·1 answer
  • If the diameter of a circular wall clock is 30 cm, what is the area of rhe clock?​
    10·1 answer
  • Need help with this
    11·2 answers
  • What is 5,000 times 5,000<br> i wil give brainliest if you round it to the nearest hundredth
    14·1 answer
  • I need to estimate then find the product 416x9 =3,744 why is the estimate 3,600?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!