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3 years ago

How do solve this problem

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

Multiply the first equation by 3
21x+15y=-6

Add this to the second equation
21x+15y=-6
-21x-15y=6
0+0=0

True

Final answer: Infinitely Many Solutions (they are coinciding lines)

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3. Here is a list of exam scores for Mr. Kraft's calculus class:

Alja [10]

Answer

15%

Step-by-step explanation:

I think the answer is 15% because when we talk about percentile, we are actually subtracting from 100% in simpler terms. If we say a 85th percentile, it actually means 15%.

4 0

4 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

3 years ago

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has

statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0

3 years ago

37040 divided by 3600

Alex

10.3(rounded to the nearest hundredth)
10.29(Rounded to the nearest tenth)
10.2888888889 real answer

5 0

3 years ago

Some girls in a Girl Scout troop are pairing up with some boys in a Boy Scout troop to practice square dancing. Two-thirds of th

Natalka [10]

Answer:

Fraction of the scouts are square dancing is $\frac{19}{30}$ .

Step-by-step explanation:

Each pair is one Girl Scout and one Boy Scout.

So, to the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.

Girls= $\frac{2}{3} *\frac{1}{2} =\frac{2}{6}$

Boys= $\frac{3}{5} *\frac{1}{2} =\frac{3}{10}$

To get the fraction of the scouts that are square dancing, we have to add the fraction of girls , with the fraction of boys.

= $\frac{2}{6} +\frac{3}{10}$

= $\frac{(2*10) +(6*3)}{6*10} =\\ \frac{20+18}{60}$

= $\frac{38}{60}$

= $\frac{19}{30}$

This means that from 30 scouts , 19 are dancing.

5 0

3 years ago