Step-by-step explanation:
5b²+39b=8
<=> 5b²+39b-8=0
(5b-1)(b+8)=0
b = ¹/5 or b = -8
b=-8 and b=1/5.
Answer:
Solution given:
5b²+39b=8
5b²+39b-8=0
try to do middle term factorization.
it needs 40 while multiplication and 39 when subtraction.
it is 40-1 and 40*1
now
doing middle term factorization
5b²+(40-1)b-8=0
5b²+40-b-8=0
take common from each 2 term
5b(b+8)-1(b+8)=0
again take common and keep remaining in another brackets
(b+8)(5b-1)=0
either
b=-8
or
b=1/5
What is the greatest common factor of 20, 12, and 36?
Answer:
The answer is 4
Step-by-step explanation:
I need to get an a please help
Answer:
n ≥ -5/14
Step-by-step explanation:
64n - 6 ≥ 36n -16
subtract 36n from each side
64n -36n - 6 ≥ 36n-36n -16
28n - 6 ≥ -16
add 6 to each side
28n -6+6 ≥ -16+6
28n ≥ -10
Divide each side by 28
28n/28 ≥ -10/28
n ≥ -5/14
Answer:
n ≥ -5/14
Step-by-step explanation:
64n - 6 ≥ 36n -16
subtract 36n from each side
64n -36n - 6 ≥ 36n-36n -16
28n - 6 ≥ -16
add 6 to each side
28n -6+6 ≥ -16+6
28n ≥ -10
Divide each side by 28
28n/28 ≥ -10/28
n ≥ -5/14
The weight of water is 0.036 pounds times the volume of water in cubic inches. How many pounds of water would fit into a fish tank shaped like a rectangular prism that is 14 inches deep, 25 inches wide, and 38 inches long? Round your answer to the nearest tenth when you enter it.
Answer:
Step-by-step explanation:
The weight of water is 0.036 pounds times the volume of water in cubic inches.
Volume of the tank = Length × Width × Height
= 14 × 25 × 38
= 13300 cubic inches
V
A ladder that is 30 feet long needs to reach a 25 foot tall building. What angle is formed by the ladder and the ground if you place the ladder so it lies directly against the top of the building? Round your answer to the nearest degree.
Answer:
56°
Step-by-step explanation:
25^2 + b^2 = 30^2
625+b^2 = 900
b^2 = sq 275
b^2 =16.6
acos(cos⁻¹) (16.6/30).
The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?
Answer:
Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday
Step-by-step explanation:
If a point C is inside
Please help me asap please please
x = 50
Step-by-step explanation:
the two angles at the bottom would he the same. Since the interior angles of a triangle must add up to 180 the you just subtract that from 180. 180-(65+65)=50
Answer:
x = 50
Step-by-step explanation:
Since the 2 sides are equal to each other, so are the angles. This is an isoceles triangle, by the way. All triangle interior angles add up to 180.
So, the equation is:
x + 65 + 65 = 180
x + 130 = 180
x = 180 - 130
x = 50
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
19.3
Step-by-step explanation:
tan ? = opp./adj = 7/20
? = arctan 7/20 ≈ 19.3
[tex]2(x+30)=60[/tex]
You are looking for a summer job at a sneaker shop. The most popular sneakers sold are shown below:
Octavia is wrapping a cube-shaped gift box with wrapping paper. If the cube's edge has a length of 27.8 in., what is the amount of wrapping paper Octavia needs to wrap the gift?
Answer:
21484.952 ft^3
Step-by-step explanation:
a cube has the same edges so its basically
27.8^3
help me pls i need lots of help pls
Answer:
Its option D :)
---
28° + y + 36° = 180°
The trall around Loon Lake is 0.9 mile long. Which fraction is equivalent to 0.9?
Answer:
9/10
Step-by-step explanation:
What do I put In the empty boxes .
the question is below
vvvv
Answer:
j
Step-by-step explanation:
If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs?
Answer:
6558.75
Step-by-step explanation:
total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot
8.25 x 7.95 = 65.5875
65.5875 x 100 = 6558.75
find values that complete the square, pls help these are the last questions :(
Given that sinx = 3/5 and cosy = 7/25, with x and y both being Quadrant I angles, find tan(x/2).
Answer:
0,33
Step-by-step explanation:
x = 36,87
y = 73,74
tan(x/2)
= tan(36,87/2)
= tan (18,44)
= 0,33
Answer:
multiply both side by 2 which gives u tan x 2 is equal to X
multiply it and it will give u the answer But make sure your calculator is in degree mode
In August, Cory begins school shopping for his triplet daughters. One day, he bought 3 packages of socks for $8 each and 3 pairs of shoes for d dollars each. Which pair of expressions represent the total amount Cory spent? * A. 3d + 8 and (d + 8)(d + 8)(d + 8) B. 3(d + 8) and (d + 8)(d + 8)(d + 8) C. 3d + 8 and (d + 8) + (d + 8) + (d + 8) O D. 31d + 8) and (d + 8) + (d + 8) + (d + 8) What is the value of the expression? (14 72 - 10.25); 2* 1 point
Answer:
D. 3(d + 8) and (d + 8) + (d + 8) + (d + 8)
II. 2.235
Step-by-step explanation:
Given the following data;
3 packages at $8 each = 3 * 8 = $24
3 pair of shoes at $d each = $3d
I. To find the total amount of money Cory spent;
Total = 3d + 24
Factorizing, we have;
Total = 3(d + 8)
II. To find the value of the expression;
Your expression isn't explicitly written but I'll assume it's this;
(14.72 - 10.25)/2 =
4.47/2 = 2.235
Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?
Answer:
So, after 6 months, they both have the same number of coins.
Step-by-step explanation:
Jack has 56 coins
Jill has 80 coins
Jack collect 12 coins per month
Jill collect 8 coins per month
Let after m months, they both have the same coin.
56 + 12 m = 80 + 8 m
12 m - 8 m = 80 - 56
4 m = 24
m = 6
So, after 6 months, they both have the same number of coins.
A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.
Answer:
Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
Step-by-step explanation:
Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:
Hugo = Amiga de Nancy (no es Pamela) = Susan
Pamela = Sale antes que Manuel (no sale con Hugo) = Coco
Nancy = Manuel
Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
Which set of side lengths forms a right triangle? 2 3 13, 4 6 10, 9 12 18, 15 36 39 ,
plz hurry timed edge2021
Answer:
15, 36, 39
Step-by-step explanation:
when these are squared they add up to 39 squared following the Pythagorean theorem
Which of the relationships is not a function?
Answer:
the input is any number and the output is the number that is squared to equal that number
what percent of 45 is 27?
Answer:
60
hope this helps
have a good day :)
Step-by-step explanation:
Which of the options below is equal to 5,000? Select ALL that apply.
A. 1/10 of 50,000
B. 10 times as much as 50
C. 100 times as much as 50
D. 1/100 of 50,000
E. 10 times as much as 500
F. 1/10 of 500,000
OPTION A ,C AND E IS CORRECT
1/10 x 50,000 = 5,000
100 x 50 =5,000
10 x 500 = 5,000
Which of the following are solutions to |x+3|= 4x- 7
Answer: 10/3 or 3.33
Step-by-step explanation:
2- Guillermo envasa 355 ml de agua
fresca en cada botella. ¿Cuantas botellas
se necesitan para envasar 29,730,895 ml?
Answer:
83,749 bottles
Step-by-step explanation:
Each bottle contain = 355ml
Total water need to pack = 29,730,895 ml
So, we can calculate the number of bottles by using following formula,
Number of bottles required = Total water ÷ Each bottle contain
by putting the value, we get
Number of bottles required = 29,730,895 ÷ 355
= 83,749
Hence, total number of bottles required is 83,749.
Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles directly east, or if he should just go directly there to bike the shortest distance.
Answer:
He should travel directly
Step-by-step explanation:
Given
[tex]x = 0.5[/tex] --- East
[tex]y =1[/tex] --- North
If he goes through east north direction, the distance (d) traveled is:
[tex]d = x + y[/tex]
[tex]d = 0.5 + 1[/tex]
[tex]d = 1.5 mile[/tex]
If he travels directly, the distance (d) is:
[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem
[tex]d = \sqrt{0.5^2 + 1^2}[/tex]
[tex]d = \sqrt{0.25 + 1}[/tex]
[tex]d = \sqrt{1.25}[/tex]
[tex]d = 1.12mile[/tex]
By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]
Hence, he should travel directly
Write three fractions equivalent to 27/30. show work
11. A skateboard ramp has a slope of 1/2. What is the angle the ramp makes with
the ground to the nearest degree?