Solve the equation for the variable.
[tex] \frac{2}{5} x + 15 = x - 6[/tex]
x = [?]
Answer:
x = 35Step-by-step explanation:
[tex]\frac{2}{5} x + 15 = x - 6[/tex]
First multiply through by 5 to eliminate the fraction
That's
[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]
Next using the subtraction property subtract 5x from both sides
That's
[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]
Next subtract 75 from both sides
[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]
We have the final answer as
x = 35Hope this helps you
Water covers 70.8%, or about 3.61 108 km2, of the Earth's surface. Approximate the total surface area of the Earth. (Round your answer to the nearest million.)
This question was not properly written
Complete Question
Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answer to the nearest million.)
Answer:
510,000,000 million km²
Step-by-step explanation:
Let us represent the total surface area of the earth as = x
We are told in the question that:
Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.
70.8% = 0.708
Hence,
0.708 × x = 3.61 × 10⁸
x = 3.61 × 10⁸/0.708
x = 361000000/0.708
x = 509,887,005.65km²
Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²
Un volcan lanza una roca con una rapidez de 47.5 m/s con un angulo de 39.4° sobre el eje x. La roca toca el suelo a 1750 m por debajo de la altura inicial si se desprecia la resistencia del aire y considerando un valor constante de aceleracion debido a la gravedad de 9.81 m/s¨2 cual es el tiempo en completar la trayectoria
Explicación paso a paso:
El tiempo necesario para completar la trayectoria se conoce como tiempo de vuelo.
Tiempo de vuelo = dónde;
U es la velocidad inicial del cuerpo = 47,5 m / s
es el ángulo de lanzamiento = 39,4 °
g es la aceleración debida a la gravedad = 9,81 m / s²
Sustituyendo los parámetros dados en la fórmula anterior, tendremos;
[tex]T = \dfrac{2(47.5)sin39.4^0}{9.81} \\\\T = \dfrac{95sin39.4^0}{9.81} \\\\T = \dfrac{95*0.6347}{9.81} \\\\T = \dfrac{60.2994}{9.81} \\\\T =6.1467 secs[/tex]
El tiempo necesario para completar la trayectoria es de 6.1467 segundos.
1. f(x) = 9x^2 - 3
Find the vertex
A bag of candy contains 203 pieces. Each person in the room receives 10 picces of candy and there are 3 pieces of
candy left over. Write and solve an equation to find how many people were in the room.
Answer:20
Step-by-step explanation:
You take 203 and subtract 3 since you know you have 3 pieces left over you then divide 209 by 10 and get 20!!
Answer:
20 people
Step-by-step explanation:
Did it in my head
Solve -5< 4x +3 < 7.
The second “<“ has a line under it. Please help! This is on APEX.
Answer:
C -2 < x ≤ 1
Step-by-step explanation:
-5< 4x +3 ≤ 7
Subtract 3 from all sides
-5-3< 4x +3-3 ≤ 7-3
-8< 4x ≤ 4
Divide all sides by 4
-8/4< 4x/4 ≤ 4/4
-2 < x ≤ 1
Elizabeth wants to change cell phone plans. Before contacting the service provider, she makes a table of her cell phone minutes used over the course of a week.
Monthly Water Bills
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
$40 $42 $40 $38 $48 $50 $58 $62
$62 $56
$56 $46
$46 $44 $44
Round the following value
to the nearest minute.
Answer:
43 minutes$47Step-by-step explanation:
1. Cell phone usage
Mon to Sun = 38, 62, 40, 10, 30, 55, 65
Mean = (38+62+40+10+30+ 55 + 65)/7 = 43 minutes rounded2. Water bills
Jan to Dec = $40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
Mean = (40+42+40+38+48+50+58+62+56+46+44+44)/12 = $47 roundedwhat is the reflection of (x, -y) across the y-axis.
PLEASE HELP WILL MARK BRAINLIEST!! THE QUESTION IS ABOVE IN THE PICTURE PLEASE HELP!!!
WORTH A LOT OF POINTS I PUT 65!! HELP MARK BRAINLIEST
THE OPTIONS FOR CHOOSE ARE 1st one- 5, 50, 2, and 10. 2nd one- 10, 5, 50 and 100
Answer:
C. 100 ≤ 20x 1000
Step-by-step explanation:
area of a rectangle is L x W
where W = 5, L = 4x
area 100 ≤ A ≤ 1000
A = 5 (4x)
= 20x
in which inequality 100 ≤ 20x 1000
I WILL GIVE YOU BRAINLIEST How do you evaluate cube roots and square roots?
Answer:
Step-by-step explanation:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. And know that the square root of 2 is irrational.
Hope this helps! ^^
HELP ME PLEASE ITS BEEN 2 HOURS PLS HELP 3/3//3/3/
Length of the base edge (a) = 5 cm
Height of the pentagonal prism (h) = 10 cm
To Find:The Lateral Surface Area of the Pentagonal Prism.
Formula:Lateral Surface Area of a Pentagonal Prism = 5ah
Solution:Lateral Surface Area = 5 (5) (10)
Lateral Surface Area = 5 (50)
Lateral Surface Area = 250 sq.cm
Answer:250 sq.cm
Which answer gives the correct inequality for the following number line?
Answer:
n < -2Step-by-step explanation:
Numbers to the left from -2
Set of numbers:
(- oo, -2)The inequality for the given line:
n < -2Evaluate 4(a2+2b)-2 when a = 2 and b =-2
Answer: -2
Explanation 》》》》》》》》》》
4×(2×2+2×-2)-2
=4×(4-4) -2
=4×0 -2
= -2
Find KM in this segment .
Answer:
164
Step-by-step explanation:
7x + 24 = 6x - 20 + 64
7x - 6x = 64 - 20-24
x = 64 - 44
x = 20
KM = 7x + 24 = 7*20 + 24 = 140 + 24
KM = 164
the quotient of 24.5 ÷ 0.8 and 245÷8 is equal to?
Answer:
Step-by-step expla
24.5 by 0.8 =30.625
245 by 8 = Exact form is =245/8
desimal from is = 30.625
mixed number form is = 30 5/8
Is 0.7 a rational or irrational number?
0.7 is a rational number.
Explanation:Because it is a terminating decimal expansion.
Answer:
0.7 is a rational number- experssed as a fraction, it is equal to 7/10
what is 3=x+3-5x i dont know what to do
Answer: 0
Step-by-step explanation:
No matter how you go at it, x is inevtably going to equal 0. To get x by itself, you have to subtract 3 from the right and left side, which leaves 0=x-5x. That leaves you with -4x=0, and when divided, that equals zero.
Answer:
x = 0
Step-by-step explanation:
Given
3 = x + 3 - 5x , that is
3 = - 4x + 3 ( subtract 3 from both sides )
0 = - 4x , thus
x = 0
K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?
The answer is $25.5!
Carlos' cell phone company charges $50 per month for unlimited calls and internet use and $0.15 per text message. His last cell phone bill was $56.75. How many text messages did Carlos send last month?
Answer:
Step-by-step explanation:
.15x + 50 = 56.75
.15x = 6.75
x = 45 texts
(2.569
3
2. Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125 ft.
How many square feet will Stephanie be able to cover if she uses all these bags of soil?
(7.3A)
i cant understand your question define briefly
Find the Distance between the points (-6,5)and(8, -3)
Answer:
[tex]d=16.1245[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(8-(-6))^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(8+6)^2+(-8)^2}[/tex]
[tex]d=\sqrt{(14)^2+64}[/tex]
[tex]d=\sqrt{196+64}[/tex]
[tex]d=\sqrt{260}[/tex]
[tex]d=16.1245[/tex]
WILL MARK BRAINLIEST IF RIGHT ALG2
Somebody plz just answer number 11!!!
Thanks (Will mark as if correct brainliest)
:D
Answer:
27.38
Step-by-step explanation:
This is the answer because:
1) Standard form means to write the full number
2) First we have to multiply because we have to use order of operations
3) So do 2 x 10 which is 20
4) Then, do 7 x 1 which is 7
5) Next, do 3 x 0.1 which is 0.3
6) Finally, do 8 x 0.01
The new equation is:
20 + 7 + 0.3 + 0.08
This expression equals to 27.38
Therefore, the answer is 27.38
Hope this helps!
Use elimination to solve and match each system of equations to the correct solution. I’ll mark the brainliest to whoever answers first 4x-11y-68 6x+5y-37
10x- 16y-105
i think if what your asking us to combine like term of both equations
Answer:
10x 16y 105
Step-by-step explanation:
4x+6x
11y+5y
68+37
=10x 16y 105
if x = y and y=z which statement is true?
Answer:
Step-by-step explanation:
if x = y, and y = z, you can write that as x = y = z, which means that x = z
f(x)=4x-5 has been reflected over the x-axis. What is the new function, g(x)?
(1 Point)
g(x)=-4x+5
g(x)=-4x-5
g(x)=4x+5
g(x)=5x-4
Answer: 4x+5
Step-by-step explanation: it has been reflected over the x- axis
If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help
Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.
6x + 11 = 16x + 1
Subtract 6x and 1 from both sides
10 = 10x
Divide both sides by 10
1 = x
We also know that:
JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34
Please answer and give an explanation.
Answer:
h=12.5
Step-by-step explanation:
It’s a right triangle, so you can use the Pythagorean Theorem.
9.2²+8.5²=h²
84.64+72.25=h²
156.89=h²
√156.89=h
h=12.5255
h=12.5
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid .Which decimals show how much of the grid Ryan shaded?
Answer:
0.7
Step-by-step explanation:
70 shaded squares out of 100
= 70/100
=0.7
Oranges are on sale for a $1.59 per pound write a function as a standard equation