Answer:
12.25 [tex]\leq[/tex] x < 12.35
Step-by-step explanation:
5 is the cut off when rounding.
If a number to the right is greater than or equal 5, you round up.
If it's less than 5, you drop the number.
So 12.25 would be rounded up to 12.3
12.34 would be rounded to 12.3
How do you get the 12.25?
Subtract .05 from 12.3
How do you get 12.35?
Add .05 to 12.3.
The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.
Estimate the number of square yards of carpeting needed to cover a floor 10'3" by 15'9.
Answer:
17.9375 square yards
Step-by-step explanation:
Let us have a common unit
What we have here is the case of inches and ft
10 ft 3 inches
1 ft = 12 inches
so 3 inches is 3/12 = 0.25 ft
= 10+0.25 = 10.25 ft
15 ft 9 in
= 15 + 9/12 = 0.75 + 15 = 15.75 ft
So let us convert to yards ;
Mathematically, 3 ft = 1 yard
so 10.25 ft = 10.25/3 = 3.4167 yards
15.75 ft = 15.75/3 =5.25 yards
So the square yards would be the product of this two;
which is;
(10.25/3) * (15.75/3) = 17.9375 square yards
please answer
HCF of 16 and 40
Answer:
8
Step-by-step explanation:
Can you please help with this question. Please please
Como Determinar a equação da reta que passa pelos pontos A(-1, -2) e B(5,2)
Answer:
A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]
Step-by-step explanation:
Equação de uma reta:
A equação de uma reta tem o seguinte formato:
[tex]y = ax + b[/tex]
Em que a é o coeficiente angular e b é o coeficiente linear.
Coeficiente angular:
Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.
A(-1, -2) e B(5,2)
Mudança em y: 2 - (-2) = 2 + 2 = 4
Mudança em x: 5 - (-1) = 5 + 1 = 6
Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]
Então:
[tex]y = \frac{2}{3}x + b[/tex]
Coeficiente linear:
Substituindo um ponto na equação, encontra-se o coeficiente linear.
B(5,2)
Quando [tex]x = 5, y = 2[/tex]. Então:
[tex]y = \frac{2}{3}x + b[/tex]
[tex]2 = \frac{2}{3}5 + b[/tex]
[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]
Então:
[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]
what is 3 to the power of -2
Answer:
Step-by-step explanation:
To make a negative exponent positive, you have to put the term the exponent is on under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
prime factor of 8 and prime factor of 12
Answer:
2
Step-by-step explanation:
a prime factor is a factor that is a prime number
a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself
2 is the only prime factor shared between 8 and 12
Here is the distribution of blood types from a group
of randomly selected people:
o
А
B
AB
Blood
Type:
Probability:
0.49
0.27
0.20
?
What is the probability of type AB blood?
What is 1,485÷ 0.09 answer please let me y
Answer:
16,500
Step-by-step explanation:
Just use a calculator-simple
What do you mean "let me y"?
Answer:
the answer is 16500 or sixteen thousand five hundred
Step-by-step explanation:
:)
What is the answer 1/3 of 12 = 1/4
Step-by-step explanation:
1/3*12=1/4
1/4=1/4
=1/4÷1/4
=0 answer
What is the vertex form of the quadratic function that has a vertex at (5, 4)
and goes through the point (6, 1)?
O A. y= (x - 5)2 + 4
B. y=-3(x - 5)2 + 4
C. y = 3(x - 5)2 + 4
O D. y = 5(x - 5)2 - 3
The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
through (-4,5), what would be the equation of line b?
Answer:
y = -4/3 x - 1/3
Step-by-step explanation:
y = -4/3 x + b
5 = -4/3 (-4) + b
15 = 16 + 3b
b = -1/3
y = -4/3 x - 1/3
The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.
Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.
Since line b is parallel to line a, it will also have a slope of 3/4.
Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.
5 = (3/4)(-4) + b
Simplifying, we have:
5 = -3 + b
Adding 3 to both sides, we find:
b = 8
Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
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Tom goes to the book fair where paperback books are $3 and hardback books are $5.50. Travis
buys three paperback and four hardback books. How much change will Travis receive from a $50
bill
1.Equation/Expression:
2. Solve:
Answer:
1: 50 - (3(3) + 5.5(4))=x
2: okay so we know how much books are brought and how much each cost.
In this case paper backs are 3 dollars each and cost 3 dollars each. So 3 (3) is 9 dollars. The next scenario are hardbacks which are 5.50 each and Tom brought 4 of them. So that makes it 5.5(4) which is 22 dollars. So the total would be 9+22 which is 31 dollars. The question asks for change from a 50 dollar bill which you subtract and 50-31=19
The change would be 19 dollars
HELP!!!!! meeeeeejejsjss
Answer:
[tex]3600[/tex]
Step-by-step explanation:
One is asked to find the cost of a vacation when given the following information;
Travel: 150
Hotel: 50 per day
Spending money: 250
One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.
- Each cost is per person, therefore one will have to multiply the cost by the number of people.
- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.
- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people
- The spending money is for the entire vacation and not per day.
With these assumptions, one can form the following equaton;
x = number of people = 4
y = number of days = 7
[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
Substitute,
[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
Simplify,
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]
3
49:51
What is the solution to the system that is created by the equation Y =-X+6 and the graph shown below?
10
8
6
4
-10-8-6-44
2
4 6
8 10 x
4
46
-8
10
O (-8,-4)
O (-4,-2)
(4.2)
(6.3)
Mark this and retum
Save and Exit
Next
Submit
helpppppp meeeeeeeer
M and t intersects lines l an6d m.
Find the m angle 8.
A. 145
B. 35
C. 55
D. 75
Answer:
B. 35°
Step-by-step explanation:
m<4 = x + 20
m<8 = 2x + 5
✔️First, find the value of x:
m<4 = m<8 (corresponding angles are equal)
Substitute
x + 20 = 2x + 5
Collect like terms
x - 2x = -20 + 5
-x = -15
Divide both sides by -1
x = 15
✔️Find m<8:
m<8 = 2x + 5
Plug in the value of x
m<8 = 2(15) + 5
m<8 = 30 + 5
m<8 = 35°
What is the next term in the sequence below?
-324,108,-36,12
Answer:
-4
Step-by-step explanation:
bc it is
.......................
The volume of a cone is 329.6 cubic inches, and the height is 5.4 inches. Which of the following is the closest to the radius r of the cone, in inches?
Answer:
329.6=1/3×16.97r
5.66r=329.6/÷5.66
r=58.23
How do I write 4(3x+2)-9 in written form?
Answer:
12x-1
Step-by-step explanation:
First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.
4(3x+2)-9
12x+8-9
Now combine like terms
8-9 = -1
The answer is 12x-1
Step-by-step explanation:
4 times 3x+2 subtracted by9
hope it helps
stay safe healthy and happy.For this graph, mark the statements that are true.
A. The domain is the set of all real
numbers.
B. The range is the set of all real
numbers greater than or equal to
zero.
C. The domain is the set of all real
numbers greater than or equal to
zero.
D. The range is the set of all real numbers.
Based on the graph, the following statements are true:
A. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.
As a result, the right responses are A and D.
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What is the value of x in the equation??????
.
15 points!!
Please hurry :)
Answer:
-8
Step-by-step explanation:
A bag contains 13 blue marbles, 12 red marbles, 6 yellow marbles, and 8 green marbles. What is the probability of picking a red marble, putting that one back and then picking another red marble?
Answer:
(12/39) * (12/39) or 16/169
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x ≈ 8.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{OQ}[/tex] = [tex]\frac{3}{x}[/tex] ( multiply both sides by x )
x × sin20° = 3 ( divide both sides by sin20° )
x = [tex]\frac{3}{sin20}[/tex] ≈ 8.8 ( to the nearest tenth )
If 12 + 6n is 20 percent bigger than k, what is k? 12 + 6n A. 5 B. 10 + 5n C. 2 +n 6(12 +6n) D. 5 E. 20 + 10n
Answer:
k*1.2=6n+12
k=5(n+2)
Carla packed this box with one centimeter cubes what is the volume of the box plus is it cubic centimeters or just centimeters or is it square centimeters pls help you'll get brainlist
Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.
identify the maximum and minimum values of the function y=10cosx in the interval [-2pie, 2pie]. Use your understanding of transformations, not your graphing calculator.
Answer:
3 x + 2 y + z/ x + y + z , x = 2 , y = 3 , z = 1
tan ( x ) , x = − π
cot ( 3 x ) , x = 2 π /3
Step-by-step explanation:
Find the vertex of the function y = (1/5)x^2 + (4/5)X + 1/5
A. (-2, 1)
B. (2, 1)
C. (2, -1)
D. 12/5, 1)
Answer:
(-2, -3/5) IS THE CORRECT ANSWER
Step-by-step explanation:
The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:
x = -b / (2a)
y = f(x) = ax² + bx + c
For the given function y = (1/5)x² + (4/5)x + 1/5,
a = 1/5
b = 4/5
c = 1/5
Now we can find the x-coordinate of the vertex:
x = -b / (2a)
= -(4/5) / (2 x (1/5))
= -4/5 / (2/5)
= -4/5 x 5/2
= -4/2
= -2
To find the y-coordinate, substitute the value of x
y = (1/5)(-2)² + (4/5)(-2) + 1/5
= (1/5)(4) + (-8/5) + 1/5
= 4/5 - 8/5 + 1/5
= -3/5
Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
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Can Someone Help Me With This ?
Answer:
its to pixelated
Step-by-step explanation:
Please help me out with this one
Answer:
[tex]72 cm^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 cm.
Rectangle#1:
4*5= 20 cm.
Rectangle #2:
3*5= 15 cm.
Triangle (2):
[tex]3*4*\frac{1}{2}=6[/tex]
Multiply by 2 because there are 2 triangles
6*2= 12 cm
Total:
Add them all up.
25+20+15+12= 72
I’ve gotten this answer wrong twice already
Answer:
Step-by-step explanation:
The standard vertex form of a quadratic (which is what your graphs are) is
[tex]y=(x-h)^2+k[/tex] where h and are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:
[tex]y=(x-(-4))^2+1[/tex] which simplifies down to
[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)