Step-by-step explanation:
Primero encontramos el valor de x,
5(x+9) = 2(x+30)
=> 5x + 45 = 2x + 60
=> 5x - 2x = 60 - 45
=> 3x = 15
[tex] = > x = \frac{15}{3} [/tex]
=> x = 5
Como tenemos el valor de x entonces,
LHS = 5(x+9) RHS = 2(x+30)
= 5(5+9) = 2(5+30)
= 5 × 14 = 70. = 2 × 35 = 70
Por tanto, el valor es,
5 (x + 9) = 2 (x + 30) = 70 (Ans)
The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function?
A. On the first day, 3 leaves fall.
OB. On the second day, 3 leaves fall.
C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.
What does the value 2 mean in this function?
A. On the first day, 2 leaves fall.
B. On the second day, 2 leaves fall
C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
[tex]f(n) = 3(2)^n[/tex]
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(0) = 3(2)^0[/tex]
[tex]f(0) = 3*1[/tex]
[tex]f(0) = 3[/tex]
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
[tex]f(0) = 3[/tex]
Take n = 1
Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(1) = 3(2)^1[/tex]
[tex]f(1) = 3*2[/tex]
[tex]f(1) = 6[/tex]
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
if -2x + 3 = 7 and 3x + 1 = 5 + y the volume of y is
Answer:
2
Step-by-step explanation:
i did it
Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answer:
$31.00
Step-by-step explanation:
20+10=30=1 (tax)
if 10 shirts cost $80, what is the unit rate (the cost of 1 shirt)?
Answer:
Each shirt is $8
Step-by-step explanation:
80÷10 = 8
Answer:
$8
Step-by-step explanation:
Form your equation, there are 10 shirts at x price, and they equal $80:
10x = $80
solve for x by dividing both sides by 10
10x/10 = $80/10
x = $8
help me with this answer please <3
Answer:
(x, y) = (-8, 19)
Step-by-step explanation:
9x + 3y = -15
-4x - 3y = -25
(9x + 3y) + ((-4x) - 3y) = -15 + (-25)
5x = -40
x = -8.
So,
9x + 3y = -15
9 * (-8) + 3y = -15
-72 + 3y = -15
3y = 57
y = 19
A tissue box has a length of 11.7 inches,a width of 8.2,and a height of 5 inches. Which could be the approximate volume of the box
Answer:
Volume equals length x width x height
Step-by-step explanation:
write x^2+8x+3 in the form of (x+a)^2-b
Answer:
(x+4)²-3
Step-by-step explanation:
x x=x²
4 4 =8
then +3
but a plus and a minus makes a minus so it would be -3
................................................................................................
Answer: A is the answer (7,9)
The height of a triangle is 8 m less than the base. The area is 10 m2. Find the height and base.
Answer:
he height of a triangle is 8m less than the base. The area is 10cm^2. Find the height and the base.
I have tried the equation 10=b(b-8)(1/2).
b(b-8) = 20
b^2 - 8b - 20 = 0
Factor:
b^2-10b + 2b-20 = 0
Identify the graph containing the point (1,−5) .
Answer:
we need a picture
Step-by-step explanation:
Increase £120 by 35%
Answer:
£162
Step-by-step explanation:
Let's first find 35% of £120.
35% here is our multiplier, so we can turn it into a decimal (0.35) in order to use it in our sum.
£120 × 35% = £42
Now add £42 to £120.
£120 + £42 = £162
Super simple!
What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm
2. If 1/2 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
A) 8 2/3 gallons
B) 8 1/3 gallons
C) 3 gallons
D) 2 gallons
Please help !
Answer: 4 gallons.
Step-by-step explanation:
With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.
If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.
8 x 1/2 = 4.
Because of this, 4 gallons of paint are needed to cover he entire wall.
(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])
Which staqtement is correct regarding the measurements of the parallelogram? 4 (21) 1 2 3 4 6 & 7 9 10 11 12 13 14 15 16 17 18 The base is 6 and the height is 3, so the area is 6(3) - 18 square units. O The base is 8 and the height is 3, so the area is 8(3) - 24 square units. The base is 8 and the height is 4, so the area is 8(4) -32 square units, O The base is 8 and the height is 6, so the area is 8(6) -48 square units. Noxi Submit Save and Exit Mark this and return M
Answer:
The answer is C because I dont know
can some one help me with this??
what is 90divided by 5
5. Find the value of x.
Answer:
x=15
Step-by-step explanation:
If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
[tex]Number = \frac{V_1}{V_2}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]
Convert division to multiplication
[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]
[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]
[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]
[tex]Number = 3[/tex]
Alfie has a £10 note
He buys 3 pens costing £1.45 each and
some pencils costing 90p each.
If Alfie gets £2.05 change, how many
pencils does he buy?
What is the answer?
Answer:
4 pencils
Step-by-step explanation:
3*1.45 = 4.35 ---> spent for the pens
( 10 -[ 4.35 + 2.05] ) = money spent on pencils
0.9x= 3.6
x=3.6/0.9 = 4
please help im struggling im not very good at math because im an overthinker
Answer:
so.....how can i help you?
Step-by-step explanation:
Does anyone know??????
Answer:
67 degrees
Step-by-step explanation:
Angle 2 and angle 7 are vertical angles since l is the transversal.
so that means <2=<7
4x+39=12x-17
Simplify: isolate the variable:
56=8x
divide by 8:
7=x
now plug it in to m<2
4(7)+39=m<2
28+39
67=m<2
i hope this helps!
Mr. Seoul left $48,000 to his family when he died. If he left 66 2/3% to his wife, how much did she receive?
How many solutions does the equation have? -10(x - 1) = 10 - 10x *
O Zero Solutions
O 1 Solution
O Infinite Solutions
Answer:
infinite
Step-by-step explanation:
it results in 10-10x=10-10x if you simplify
can also be simplified more into x=x
but we already know x has to equal x.
simplify fully 4x-8x^2/12x-6
Answer:
- [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
Given
[tex]\frac{4x-8x^2}{12x-6}[/tex] ← factorise numerator and denominator
= [tex]\frac{4x(1-2x)}{6(2x-1)}[/tex] ← factor out - 1 from (1 - 2x) on numerator
= [tex]\frac{-4x(2x-1)}{6(2x-1)}[/tex] ← cancel the common factor (2x - 1)
= [tex]\frac{-4x}{6}[/tex] ← cancel 4 and 6 by 2
= - [tex]\frac{2}{3}[/tex] x
Simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
Given the expression, [tex]\frac{4x-8x^2}{12x-6}[/tex], we are required to simplify the expression as follows:
Step 1: Factorize the denominator and the numerator.
[tex]\frac{4x-8x^2}{12x-6}\\\\=\frac{(1 - 2x)4x}{(2x - 1)6}[/tex]
Step 2: Rewrite the fraction by factoring out -1 from the numerator.
[tex]=\frac{(2x - 1)-4x}{(2x - 1)6}[/tex]
Step 3: Divide the numerator and denominator by (2x - 1) respectively.
[tex]=\frac{-4x}{6}[/tex]
Step 4: Divide the numerator and denominator by 2 respectively.
[tex]=\frac{-2x}{3}[/tex]
Therefore, simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
Learn more here:
https://brainly.com/question/21004763
can you help me solve this
The equation does not fit the table
What percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%
The percent decrease is 25%
The percent decrease is 80%
The percent decrease is 87%
Graph this function:
y = 3x + 4
Answer:
(0,−4)
Step-by-step explanation:
What is the perimeter of the composite figure?
85 cm
107.5 cm
119.5 cm
97 cm
Answer:
102.90
Step-by-step explanation:
i just did it
Answer:
107.5 cm is the correct answer
Step-by-step explanation:
If the wages of 13 workers for 4 days are $9828, find the wages of 1 1 workers for 5 days.
Answer:
10395
Step-by-step explanation:
[tex]9828 \div 4 \div 13 = 189[/tex]
[tex]189 \times 11 \times 5 = 10395[/tex]
Answer:
945
Step-by-step explanation:
9828 divided by 13 = 756
756 divided by 4= 189
189 x 5= 945
945 x 11= 10,395
Your welcome
What is the y-intercept of the equation 2x + 3y = 12?
- 2/3
6
12
4
Answer:
A ) -2/3
Step-by-step explanation:
Rewrite the equation in slope-intercept form.
y = mx + b
2x + 3y = 12
2x - 2x + 3y = 12 - 2x
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
[tex]y = -\frac{2}{3} x + 4[/tex]
Answer:
The answer above is correct!
Step-by-step explanation:
Hope it helps :)