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2 years ago

Suki makes and sells denim jackets in a small store at the mall. She has found that

Mathematics

1 answer:

Mrrafil [7]2 years ago

6 0

Answer:

Step-by-step explanation:

96n = 520 + 31n

65n=520

n=8

Hope this helps :)

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Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

8 0

3 years ago

Sripathi 10 years old than ragu. their total age is 100

Fiesta28 [93]

S = 10 + r

s + r = 100

Adding equations,

2s +r = 110 + r

2s = 110

s = 55

r = 45

8 0

3 years ago

The ratio of green food coloring to blue food coloring is 1:2. we used 6 drops of blue. how many total drops of food coloring di

ehidna [41]

If the ratio of green to blue food coloring is 1:2 and 6 drops of blue was used, meaning that you basically multiplied 2 by 3 in order to get 6. Then the number of green drops would be 3 (1*3=3). 6+3=9
The total amount of drops of food coloring is then 9.

Hope this helps! (:

7 0

3 years ago

Read 2 more answers

Write a number story to match the number model 4 +4 +4= 12. Draw a picture of your story.

Anni [7]

Answer:

4 apples adding 4 and adding 4 again = the amount you have

Step-by-step explanation:

draw 3 groups of 4 apples

5 0

2 years ago

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level. When the lake warms up in the summer

Pavel [41]

-50 feet because you have to add 2 to 30 and since it is below sea level, it is a negative

3 0

3 years ago