x=15-y
y=13-z
z=12-x

Answer:

6a is the answer I believe.

If i'm wrong correct me in comments.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Surface Areas and Volume.

==> Volume of Cylinder = πr^2h

==> 27π = πr^2(3)

==> 27 = r^2 (3)

==> r^2 = 9

==> r = 3 inch

hence the radius is 3 inches.

Total number of sports students = 65

Total number of music/drama students = 25

Total number of work students = 10

Total number of students = 65 + 25+ 10 = 100

Probability = Total number of favourable outcomes/Total number of outcomes

Probability of picking a sports student = 65/100 = 13/20

Therefore, probability of picking a sports student is 13/20

Answer:

38°

Step-by-step explanation:

The measure of angle NPM is 38°.

➠ ∠MPJ + ∠LPM = 180°

➠ ∠MPJ + 90° = 180°

➠ ∠MPJ = 180° – 90°

➠ ∠MPJ = 90°

∠NPM = ∠MPJ – ∠JPN

➠ ∠NPM = 90° – 52°

➠ ∠NPM = 38°

Answer:

I am pretty sure it is (-2,8) and (2,-8)

Step-by-step explanation:

I think my answer is correct because it goes from Quadrant 1 into 4. Other answers are just I quadrant away.

Answer:

honestly,I also really didn't know the ans so I took it from internet. hope you won't mind

Answer:

1.) 12:30am

2.) 7:00pm

3.) 22:55 or 10:55pm

4.) 12:15am

5.) 5:38am

Step-by-step explanation:

Not me having to turn the clock on my phone to military time to make sure my answers were right XD

Answer:

5,5,7,8,10

Step-by-step explanation:

mode=5    so that would appear the most so start with 5,5

median=7  that would be the middle number so 7 would be next

when you add 5+5+7=17  now just choose any number to add to 17 and I choose 10 which makes 17+10=27.  

mean=7  so that means the total has to be divided by how many numbers you have, which is 5.  So the total divided by 5 should equal 7.  Since have 27, the number divided by 5 to get 7 is 35.  So, add to 27 to get 35 which would be 8.

27+8=35  that is your total.  Now divide by 5 to get the mean of 7.

Answer: For 7x-11 is There are no like terms.

I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing

For 4x-2 is Factor 4x−2

4x−2

=2(2x−1)

Answer:2(2x−1)

Step-by-step explanation: Hope this help :D

Answer:

-42

Step-by-step explanation:

Which expression is equivalent to 14 x minus 21 over 7 ?

Mathematically this expression is written as:

= (14 × -21)÷ 7

= (14 × -21)/7

= - 294/7

= -42

Therefore, the equivalent of the above expression is calculated as -42

Answer:

(6, 3)

Step-by-step explanation:

Note that the opposite side of parallelogram are congruent, hence;

Jk = LM

2y + 3 = 5y - 6

2y - 5y  =-6 - 3

-3y = -9

y = 9/3

y = 3

Similarly;

KL = JM

8x – 10 = 3x+20

8x - 3x =  20 + 10

5x = 30

x = 30/5

x = 6

Hence (x,y) is (6, 3)

Answer:

B.

Step-by-step explanation:

Answer:

48 cubic inches

Step-by-step explanation:

Answer:

192π

and or [tex]603in^{3}[/tex]

Step-by-step explanation:

Answer:

6x+12=T

Step-by-step explanation:

Amy bakes x cakes.

Barry bakes 4x.

Ceri bakes x+12

So the total is 6x+12=T

Answer:

2 1/3 hours or 2 hrs, 20 min

Step-by-step explanation:

1 5/6 + 1/2

make mixed number into improper fraction and change 1/2 to 3/6

11/6 + 3/6 = 25/6

14/6 equals 2 2/6 which simplifies to be 2 1/3 or 2 hrs, 20 min

Answer:

[tex]x=15.3[/tex]

Step-by-step explanation:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Therefore, we have the following equation:

[tex]\sin 58^{\circ}=\frac{x}{18},\\x=18\sin 58^{\circ}\approx \boxed{15.3}[/tex]

Alternative:

[tex]\cos 32^{\circ}=\frac{x}{18},\\x=18\cos32^{\circ}\approx \boxed{15.3}[/tex]

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y  – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

Answer:

19a + 12a - 3a - 7

31a - 3a - 7

28a - 7

7 (4a - 1)

Answer:

1.54cm    2. 112m   3.  576cm    4. 52ft

Step-by-step explanation:

Answer:

Range

Step-by-step explanation:

The range of a given set of data is the difference between the largest value and the smallest value in the data. For convenience and ease in the calculation, it is advisable to place the data in ascending order.

For example, given the following set of data:

4,9,5,6,2

To find the range;

=> First arrange the data in ascending order

2,4,5,6,9

=> Find the smallest and largest numbers and then find their difference.

Since the data has been arranged, it is obvious to see that the smallest number is 2 and the largest number is 9.

Therefore the;

range = 9 -2 = 7

Answer:

B. 6%

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Her 24 monthly payments total 24 x $56 = $1344

That means that $1344 - $1200 = $144 is just interest.  What percent is this of her loan amount?  Divide to find out:

144 / 2400 = 0.06 = 6%

Answer:

1.

d - adjacent

e - hypotenuse

f - opposite

2.

[tex]\sin \theta = \frac{12}{13},\\\\\cos \theta = \frac{5}{13},\\\\\tan \theta = \frac{12}{5},[/tex]

Step-by-step explanation:

1. The opposite side of an angle is the side that the angle faces or forms. The hypotenuse of a right triangle is always the longest side of the right triangle. The adjacent side is one side or leg next to the angle that is not the hypotenuse.

2. In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus, we have:

[tex]\sin \theta = \frac{12}{13},\\\\\cos \theta = \frac{5}{13},\\\\\tan \theta = \frac{12}{5},[/tex]

Answer:

You probably already answered, but the first option would be correct <3

If you want an explanation tell me!

Answer:

5x+4=-6

5x=-6-4

5x=-10

x=-10/5

x=-2

Step-by-step explanation:

Answer:

[tex] \sf \: x = - 2[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 5x + 4 = -6

Then the value of x will be,

→ 5x + 4 = -6

→ 5x + 4 - 4 = -6 - 4

→ 5x + 0 = -10

→ 5x = -10

→ 5x ÷ 5 = -10 ÷ 5

→ [ x = -2 ]

Hence, the value of x is -2.

Answer:

The approximate length of the two other sides is 10cm

Step-by-step explanation:

Given

[tex]Base\ Length = 18[/tex]

[tex]Height = 4[/tex]

Required

The length of the two other sides

Divide the triangle to 2 (See attachment)

Considering one of the triangles, we have:

[tex]l^2 = 4^2 + 9^2[/tex]

[tex]l^2 = 16 + 81[/tex]

[tex]l^2 = 97[/tex]

Take square roots

[tex]l = \sqrt{97[/tex]

[tex]l = 9.8488[/tex]

[tex]l = 10[/tex] --- approximated

Answer:

1331 cubic inches

Step-by-step explanation:

volume = 11×11×11 = 1,331 in³