Answer:
The answer is 63.31
Step-by-step explanation:
[tex]2x - 5 + 3x - 42 + x + \frac{3}{7} x = 360 \\ \frac{45}{7} x = 360 + 47 \\ x = 63.31[/tex]
The volume of a cylinder varies jointly as the square of the radius and the height. If the volume is 28pi cubic inches when the radius is 2 inches and the height is 7 inches, find the volume
when the radius is 12 inches and the height is 11 inches. Express the answer in terms of pi .
A. 1,728x in
B. 529x in
O C. 1,584x in
D. 1,331x in
Answer:
1584 cu in.
Step-by-step explanation:
Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation
28 = 2^2(7)k = 28k
k = 1
Now V = r^2h
V = (12)^2(11) = 144(11) = 1584 cu in.
You order a 119 pound couch suppose you use 1 day shipping instead of 3 to 5 day shipping how much more will you pay
119 + 1 + 3 + 5 = add that if i am wrong sorry but have a nice day <3
Step-by-step explanation:
debra can run 20 miles in 2 hours. how many miles per hour can she run
Answer:
10 miles per hour
Step-by-step explanation:
20 divided by 2 = 10
I got carried away I need a lil help.
calculate 57% of $295 to the nearest cent
Answer:
168.15
Step-by-step explanation:
100%-> 295
57%->168.15
16 teams qualify for a tournament. How many possible ways can the final game (2 teams) be played?
Answer:
120
Step-by-step explanation:
so we have 16 teams and we are chosing two
so this formula is called the chose formula
and the formula is 16*(16-1)/2!=16*15/2=120
PLZ HELP ASAP
Find the value of the variable.
A. -37
B.31
C.43
D.155
Answer:
B.31
Step-by-step explanation:
That's the answer.
Answer:
x = 31
Step-by-step explanation:
By Linear Pair
3x + 31 + 2x - 6 = 180
5x + 25 = 180
5x = 155
x = 31 Answer
a town had about 2120 acres of pine trees about 40 years ago. only 13% remain. How much trees are left
Answer:
275.6
(275 for whole trees)
Step-by-step explanation:
solve by quadratic equation
[tex] \tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}[/tex]
[tex] \tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]
[tex] \tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{(a+b)^{2} = a^{2} + b^{2}+ 2ab}}}[/tex][tex] \large \underline{\boxed{\bf{(a-b)^{2} = a^{2} + b^{2} - 2ab}}}[/tex][tex] \large \underline{\boxed{\bf{(a+b)(a-b) = a^{2} - b^{2}}}}[/tex][tex] \tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}[/tex]
[tex] \tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}[/tex]
[tex] \tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}[/tex]
[tex] \tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}[/tex]
By cross multiply :
[tex] \tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)[/tex]
[tex] \tt : \implies 12x^{2} + 48 = 5x^{2}-20[/tex]
[tex] \tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0[/tex]
[tex] \tt : \implies 7x^{2} + 68 = 0[/tex]
[tex] \tt : \implies 7x^{2} + 0x + 68 = 0[/tex]
Now, by comparing with ax² + bx + c = 0, we have :
a = 7b = 0c = 68By using quadratic formula :
[tex] \large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}[/tex]
[tex] \tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}[/tex]
[tex] \tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}[/tex]
[tex] \tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}[/tex]
[tex] \tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}[/tex]
[tex] \tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}[/tex]
[tex] \tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}[/tex]
[tex] \large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}[/tex]
Hence value of [tex] \bf x =\dfrac{\pm 2\sqrt{119}}{7}[/tex]
Answer:
I think this answer is right if no tell me please :)
Maria fills a 1/4 measuring cup 3 times with sugar a 1/3 measuring cup 4 times with flour and 1/2 measuring cup 3 times with water. How many total cups of ingredients did Maria use altogether?
Answer:
hope this helps
Step-by-step explanation:
1/4×3=3/4
1/3×4=1 1/3
1/2×3=1 1/2
now add all the fractions together
Answer:
She used 43/12 or 3 7/12
Step-by-step explanation:
Learned this during math class and this was the exact problem. Have a good day:)
solve for y
3x+1/5y=7
Answer:
y = -15x + 35
Step-by-step explanation:
3x + 1/5y = 7
1/5y = -3x + 7
y = 5( -3x + 7)
y = -15x + 35
HELP, PLEASE, WILL GIVE BRAINLIEST
At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If Marsha bought 13 fish for a total cost of $25.80, not including tax, how many of each type of fish did she buy?
PLEASE ANSWER THIS FAST!
Problem 3
Answer: x = 47Explanation: The angles opposite the congruent sides, are congruent angles. We consider these the base angles. This triangle is isosceles.
==================================================
Problem 4
Answer: x = 32Explanation:
Refer to the diagram below. Note how I've added in the variable y and marked another angle as 53 degrees which is one of the base angles of the left triangle. The base angles of the triangle on the right are y degrees each. Also, note the vertical angles both are y.
For the left triangle, the three angles add up to 180 which means we can solve for y to go from 53+53+y = 180 to y = 74
Then the interior angles of the triangle on the right has the three angles (y,y,x) add to 180 as well. So we have y+y+x = 180 which turns into 74+74+x = 180. That solves to x = 32
==================================================
Problem 5
Answer: x = 58Explanation:
Refer to the diagram below. I've added another base angle x, and the angle 90-x is complementary to this. This is because the two pieces must add to 90.
For the triangle on the bottom, the two base angles 74 and 74, add to the third angle 90-x and we would get 180. So we solve 74+74+(90-x) = 180 to get x = 58
Answer:
3. x = 47
4. x = 32
5. x = 58
Step-by-step explanation:
what is the simplified form of each expression?
question 1: 3x+7x+2x A. 12x B. 10+2x C. 12+5x D. 10x
question 2: 2(8x) A.16x B.2(8)+2(x) C.10+x D.10x
question 3: 4(3x+2y) A.20x B.12x+8y C.20xy D.12x+2y
Answer:
Question 1: 12x
Question 2: 16x
Question 3: 12x+8y
Step-by-step explanation:
Answer:
1. A. 12 x
2.A. 16x
3. B. 12+8y
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10
Answer:
43
Step-by-step explanation:
you plug in the values
3m^2 + 2p^2 - 15
= 3(3)^2+2(10)^2-15
= 3×9+2×100-15
= 27+200-15
= 227-15
= 212
Just subtitute the value of m and p to the equation
Hope it help u :)
What is the determinant of H=
Answer:
The answer is -7
Step-by-step explanation:
I took the test! Hope this helps <3
-3(y - 6)
.........................
Answer:
-3y+18
Step-by-step explanation:
-3 x y = -3
-3 x -6 = 18
-3y + 18
Hope that helps!
Which ordered pair is in the solution set of 3x - y = 10?
Answer:
it would be ( 0 , − 10 ) , ( 1 , − 7 ) , (2 , − 4 )
Step-by-step explanation:
Choose three values for x and substitute in to find the corresponding y values.
HELP ME PLEASE!!!DONT ANSWER IF YOUR JUST TRYING TO GET POINTS!!PLEASE.
9514 1404 393
Answer:
17.27 miles aroundabout 23.75 square milesStep-by-step explanation:
a) The circumference of the circle is given by ...
C = πd
C = (3.14)(5.5 mi) = 17.27 mi
The distance around the lake is about 17.27 miles.
__
b) The area is given by ...
A = πr^2 . . . . . where r = d/2
A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles
The surface area of the lake is about 23.75 square miles.
_____
If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.
Gavyn and Alex win some money and share it into the ratio 1:4. Gavyn gets £6. How much does Alex get?
Im supposed to find angles for these, and I don't know on how to do that
Answer:
110
Step-by-step explanation:
They are equal to each other.
23x-5= 21x +5
2x = 10
x = 5
21(5) +5 = 110°
23(5) -5 = 110°
So it works. Angles are 110°
3 Multiple Choice Questions. Please answer..
3. Find m∠Q
4. Find m∠1
5. Find m∠3
Answer:
3) (N) angle Q = 90 degrees
4) (E) angle 1 = 88 degrees
5) (G) angle 3 = 110 degrees
Step-by-step explanation:
3) angle Q = 1/2(270-90) = 90
4) central angles equal arc angles
5) angle supplemental to angle 3 is 1/2(140), so angle 3 = 180-70 = 110
Solve for x
[tex]\frac{x}{6}[/tex] + [tex]\frac{x}{4}[/tex] = 2
Give your answer in its simplest form.
find the value of x so f(x)=13
f(x)=3x+4
Answer:
43
Step-by-step explanation:
3(13)+4= 43
Alycia has $10 to use for some new school supplies. She wants to buy a
binder for $2.79, a package of markers for $1.25 and 2 packs of ink pens for
$ 1.96 each. How much change should she get? *
20. Find the common ratio of the following sequence:
500, 100, 20.4,
Answer:
100/500 = 0.2
common ratio is 0.2
Tiana uses craft sticks to make as many picture frames as she can . she has 22 craft sticks , and she uses 4 craft sticks to make each frame how many frames does tiana make? how many craft sticks are left?
Answer:
She can make five bcs she can
Which expression is equivalent to (44)2 . (47) 2? A. 1 46 1 1 B. 43 C. 411 D. 430
Answer:
67
Step-by-step explanation:
i dont know
9x+ 1 =x+ 9
the solution is x=
Step-by-step explanation:
9x + 1 = x + 9
9x - x = 9 - 1
8x = 8
x = 1
A line contains points (1, 3) and (5,0). What is the slope of the line?
Answer:
B= -3/4
Step-by-step explanation:
there are two points given substitute them in the formula of the slope
SOMONE PLZZZ HELLLLLPP, it’s due tonight
Answer:
the triangle consists 180 degree
so , açording to me the must be like this
Step-by-step explanation:
hope it becomes helpful to you ☺️☺️
good luck