Answer:
x = 7.5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 2x from both sides of the equation:
10x (-2x) = 2x (-2x) + 60
10x - 2x = 60
8x = 60
Next, isolate the variable, x. Divide 8 from both sides of the equation:
(8x)/8 = (60)/8
x = 60/8
x = 7.5
x = 7.5 is your answer.
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what is the equation of a line with a slope of -3 and a y-intercept of 9
Answer:
The answer to the question provided is y = -3x + 9.
Part 1: Determine the domain.
DOMAIN:
Answer:
The domain is -2 to positive 2.
How do you write 0.060 in scientific notation?
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]6 \times 10 {}^{ - 2} [/tex]
10.12 ÷ 4.4 =
A
0.23
B
2.3
C
5.72
D
57.2
Answer:
The answer is 2.3 B It is just by dividing
Answer:
B. 2.3
Step-by-step explanation:
Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.
We then have the equations:
101.2 ÷ 44 = 2.3
and therefore:
10.12 ÷ 4.4 = 2.3
three-fourths of the sum of six times a number and twelve distribute
Answer:
Step-by-step explanation:
Let x be the number.
6 times the number = 6*x = 6x
Sum of 6 times of a number and twelve = 6x + 12
Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]
[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]
[tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
a. What is the distance of the entire trip? (In miles)
b. How long does the entire trip take? (In hours and minutes and seconds)
9514 1404 393
Answer:
60 miles3 hours 40 minutes 0 secondsStep-by-step explanation:
The relation between speed, distance, and time is ...
distance = speed × time
a) The distance the bird traveled downwind is ...
(18 miles/hour)(x hours) = 18x miles
3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...
15x = 18x -5
5 = 3x . . . . . . add 5 -15x
x = 5/3 . . . . . .divide by 3
Then the distance traveled downwind is ...
18x = 18(5/3) = 30 . . . . miles
and the time for the return trip is ...
(30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip
So, the entire round trip is 2×30 miles = 60 miles.
__
b) The time for the entire trip is ...
5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds
Please help Im confused
Answer:
x=40
Step-by-step explanation:
to get from 3 to 15, you multiply by 5
multiply 8 by 5 and you get 40
x is 40
please give me brainliest!!<3
Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.
Find the length of XY.
Answer:
XY = 50
Step-by-step explanation:
Triangle given in the picture,
Point B, C and D are the midpoints of the sides of the triangle.
By applying midsegment theorem in the given triangle,
"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"
CD = [tex]\frac{1}{2}(XY)[/tex]
25 = [tex]\frac{1}{2}(XY)[/tex]
XY = 50
Therefore, XY = 50 is the answer.
k I need help again the last part says triangles
What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?
y=1/4x−5
y=1/4x+5
y=1/4x−11
y=1/4x+1
Answer:
y=1/4x+1
please mark as brainliest
What is f(-3) if f(x) = 1/3x
Answer:
10
Step-by-step explanation:
I did this before and i got it right
Find the local maximum and minimum values of f(x)=x^3-6x^2+5
Answer:
Local maxima at x=0
Local minima at x=4
Step-by-step explanation:
What is the solution to the inequality 5.25- b
6.5?
-b > 6.5 - 5.25
b < 1.25
Hope this helps!
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can someone please help meeee
Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.
Answer:
5/6 is eaqual to 2.5/3
Step-by-step explanation:
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350
order 9%, 0.03, 0.7% and 0.004 from least
to greatest
There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science?
If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =
Answer:
P(B | A) = 1.2
Step-by-step explanation:
Given
P(A) = .80P(B) = .65P(A ∩ B) = .78To determine
P(B | A) = ?Using the formula
P(B | A) = P(A ∩ B) / P(B)
= .78 / .65
= 1.2
Therefore,
P(B | A) = 1.2
What is Four more than twice a number is -10?
what is the equation
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]
From the given equation.[tex]y + 8 = 4(x - 5)[/tex]
[tex]y - ( - 8) = 4(x - ( + 5))[/tex]
Answer[tex] \large \boxed{( - 8,5)}[/tex]
someone pls help me with this problem , in a rush !!
Answer:
2.DB=7.5+7.5=15cm
3.DV=12.75+12.75=25.5
Step-by-step explanation:
Which number is 1/10 the value of 600?
Answer:
60
Step-by-step explanation:
Simply multiply to find your answer:
Answer = 600 x 1/10
Simplify. Divide:
600 x 1/10 = 600/10 = 60
60 is your answer.
~
Answer:
[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]
if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian
25 pens is better because if you see the cost of one it will be cheaper
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
47 + 34 - 3k ТІЗk + Зk
solve for k show your work
Answer:
47+34= 3k + 3k + 3k + 3k
Step-by-step explanation:
6¾
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
I need help with this word problem please
Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]x\sqrt{x}[/tex]
We can rewrite this function as,
f(x) = [tex]x^{\frac{3}{2}}[/tex]
a). Domain of the function is [0, ∞)
Derivative of the function in this domain,
f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]
= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]
Since, f'(x) > 0 in the interval [0, ∞)
Function is increasing in the interval [0, ∞)
b). For local maxima and local minima,
Second derivative of the function,
f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]
= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0
So the function should have a local minima.
But the function is continuous in the interval x ≥ 0,
There is no local minima (only absolute minima).
c). Since, second derivative is undefined at x = 0,
There are no inflection points.
d). Since, f"(x) > 0 in the interval [0, ∞)
Concavity of the curve is UPWARDS.