Answer:
That would be 132/396
Step-by-step explanation:
the 132 is the part of the fraction and the 396 is the rest of the fraction.
Answer:
33 and 2/3 percent
Step-by-step explanation:
132x100 divided by 132+396 = 33.33
Finding the perimeter of each rectangle 96ft width 124ft length
Answer:
440 ft
Step-by-step explanation:
Perimeter(p) of a rectangle is 2l + 2w
Where 'l' is the length and 'w' is the width.
p = 2(96ft) + 2(124ft) = 192 ft + 248 ft = 440 ft
Identify the radius of the circle whose equation is (x-2)^2 + (y-8)^2 = 16
Answer:
radius = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 2)² + (y - 8)² = 16 ← is in standard form
with r = [tex]\sqrt{16}[/tex] = 4
Solve the equation for x 1/3 (6x-15) = 1/2(10x-4)
For this case we must solve the following equation for x:
[tex]\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)[/tex]
We apply distributive property to the terms of parentheses:
[tex]2x-5 = 5x-2[/tex]
We subtract 5x on both sides of the equation:
[tex]2x-5x-5 = -2\\-3x-5 = -2[/tex]
Suamos 5 on both sides of the equation:
[tex]-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1[/tex]
Answer:
[tex]x = -1[/tex]
What is the product? Assume x ≠ 0. 2x^2/3{6/x} 3x 4x 3x2 4x2
Answer:
4x
Step-by-step explanation:
The given product is;
[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]
This is the same as;
[tex]\frac{2x^2\times 6}{3\times x}[/tex]
We cancel out the common factors to obtain;
[tex]\frac{2x\times 2}{1\times 1}[/tex]
Multiply out to obtain;
[tex]\frac{4x}{1}[/tex]
Simplify
[tex]4x[/tex]
The second option is the correct choice.
Answer:
4x
Step-by-step explanation:
[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]
2x^2 can be written as 2*x*x
so the given expression becomes
[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]
we cancel out x at the top and bottom
we know 6 divide by 3 is 2
[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]
Now we multiply the numerator with numerator and denominator with denominator
4x
Jane will roll a number cube 30 times.How may times would Jane expect to roll a number larger that 4?
Answer: 5
Step-by-step explanation:
= P(roll 4) = 1/6
= Expected # of 4 in 30 rolls = (1/6)*30 = 5
Therefor, the answer is 5
~ Hopefully this helps:) Mark me the brainliest:)!!
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solve the inequality
Answer:
[tex]\large\boxed{-1<x<4}[/tex]
Step-by-step explanation:
[tex]-6<2x-4<4\qquad\text{add 4 to all sides}\\\\-6+4<2x-4+4<4+4\\\\-2<2x<8\qquad\text{divide all sides by 2}\\\\\dfrac{-2}{2}<\dfrac{2x}{2}<\dfrac{8}{2}\\\\-1<x<4[/tex]
The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume?
a. 10/9 cubic in
b. 10 cubic in.
c. 30 cubic in.
d. 10/3 cubic in
Answer:
the answer is A. 10/8 cubic in.
Step-by-step explanation:
V = LWH
length is 2 (1/3 in)
width is 3 (1/3 in)
height is 5 (1/3 in)
V = 2/3 in * 3/3 in * 5/3 in.
V = 10/9 cubic in.
The volume of the prism is 10 cubic inches, making the correct answer option b.
To find the volume of the prism made up of cubes each measuring 1/3 of an inch on one side, we first need to understand the volume of one cube.
The volume of a cube is calculated using the formula:
Volume = side³Given that each side of the small cube is 1/3 inch, we calculate:
(1/3 inch)³ = 1/27 cubic inchesNext, we need to determine the total number of these small cubes that make up the prism. Let's assume the prism consists of 270 of these small cubes.
The total volume of the prism is calculated by multiplying the volume of one small cube by the total number of cubes:
Volume of prism = 270 × 1/27 cubic inches = 10 cubic inchesThus, the correct answer is:
Option b. 10 cubic in.Pam has monthly mortgage payment of $750. Her annual property taxes are $1200,her PMI is $55/month, and her homeowners insurance is $800 per year. How much is deposited into Pam’s escrow account each month?
Answer:
$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....
Step-by-step explanation:
Pam's annual taxes are $1200 per year. It means her escrow each month needs to have 1/12 of that amount. 1200/12 = $100 per month
Her homeowner's insurance is $800 per year, that's 1/12 of that needs to be in her escrow account each month:
$800 / 12, or $66.67/month.
And PMI is $55/month
Add these three together:
$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....
Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).
ANSWER
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)
EXPLANATION
The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).
If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:
[tex](x,y)\to (2x,2y)[/tex]
can be used to obtain the coordinates of
L′M′N.
[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]
[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]
[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]
The cot choice is:
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)
Answer:
A
Step-by-step explanation:
Its the one that mostly makes sense
Find the x and y intercepts 5x -2y =10
Answer:
x-int: (2, 0)y-int: (0, -5)To find the x-intercept, substitute in 0 for y.
To find the y-intercept, substitute in 0 for x.
Hope this helps and hava great day!!
Answer:
x-intercept: (2,0)(2,0)
y-intercept: (0,−5)(0,-5)
Step-by-step explanation:
At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 34 years old, with a standard deviation of 10 years. Find the percent of new employees that are no more than 40 years old. Round to the nearest percent.
Answer:
P = 73%
Step-by-step explanation:
We look for the percentage of employees who are not more than 40 years old.
This is:
[tex]P = \frac{x}{n} *100\%[/tex]
Where x is the number of new employees who are not over 40 years old and n is the total number of new employees.
We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 40 years old is equal to [tex]P = \frac{x}{n}[/tex]
Then we can solve this problem by looking for the probability that a new employee selected at random is not more than 40 years old.
This is:
[tex]P(X< 40)[/tex]
Then we find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
We know that:
μ = 34 years
[tex]\sigma = 10[/tex] years
So
[tex]Z = 0.6[/tex]
Then
[tex]P (X<40) = P (\frac{X- \mu}{\sigma} < \frac{40-34}{10})\\\\P(X<40) = P(Z<0.6)[/tex]
So we have
[tex]P(Z<0.6)[/tex]
Looking in the normal standard tables:
[tex]P(Z<0.6)=0.726[/tex]
Finally P = 73%
solve using the substitution method -2x +y=4 y=3x+1
Answer: (3, 10)
Step-by-step explanation:
X=3 y=10
Answer:
x = 3
y = 10
Step-by-step explanation:
Equation (1) : -2x + y = 4
Equation (2) : y = 3x + 1
Substitute (2) into (1):
-2x + (3x + 1) = 4
-2x + 3x + 1 = 4
x + 1 = 4
x = 3
Sub x = 3 into (2):
y = 3(3) + 1
y = 10
Two vertices of a right triangle have coordinates (4, 2) and (5, -3). Select each ordered pair that could be the coordinates of the third vertex.
The answer is A.) ( 4, -3 )
What outcomes are in A and B?
Answer:
D. Robin, Sparrow, Pelican
Step-by-step explanation:
They are the only animals that can do both
d, they are the only animals that can do both
If 62% of the people at a certain conference are doctors, 48% are women, and 36% are female doctors, what is the probability that a person selected at random at this conference is a doctor or woman (or both)?
62 plus 48 is 110
Then add everyone together to find the total 62+48+36 which is 152
110 over 152 is the probability that a person selected at random will be a doctor or woman
Hope this helps;)
The probability that a person at random from the conference is either a doctor or a woman (or both) is 74%, computed from the principle of inclusion and exclusion.
Explanation:The probability of a person at the conference being a Doctor or a Woman (or both) can be found by adding the individual probabilities - that of being a woman and that of being a doctor - and subtracting the probability of being both a doctor and a woman because this is counted twice in the addition. This is called the principle of inclusion and exclusion in probability theory. So by substituting the given percentages, P(Doctor or Woman) = P(Doctor) + P(Woman) - P(Doctor and Woman) = 62% + 48% - 36% = 74%. So, the probability that a person chosen at random from the conference is either a doctor or a woman (or both) is 74%.
Learn more about Probability here:https://brainly.com/question/32117953
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For which equation would x = 5 be a solution?
4 x - 7 = 27
3 x + 6 = 21
12 - 2 x = 13
7 + 6 x = 27
Hi, it's me again!
Your answer would be B.
3x + 6 = 21
3(5) + 6
15 + 6
21 = 21
Answer:b is your best bet
Step-by-step explanation:
Can anyone help me with these two plz
Answer:
Part 1) The scale factor is [tex]1.5[/tex]
Part 2) The altitude QS is [tex]4\ units[/tex]
Part 3) The scale factor is [tex]\frac{2}{3}[/tex]
Part 4) The value of x is [tex]12\ units[/tex]
Part 5) The perimeter of ABCDE is [tex]46\ units[/tex]
Step-by-step explanation:
Part 1) Find the scale factor of triangle TQR to triangle NQP
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
[tex]z=\frac{NP}{RT}[/tex]
substitute the values
[tex]z=\frac{24}{16}=1.5[/tex]
Part 2) Find the length of the altitude QS
we know that
To find the altitude QS, divide the altitude of triangle NQP by the scale factor
so
[tex]QS=\frac{6}{1.5}=4\ units[/tex]
Part 3) Find the scale factor of FGHJK to ABCDE
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
[tex]z=\frac{AB}{FG}[/tex]
substitute the values
[tex]z=\frac{10}{15}=\frac{2}{3}[/tex]
Part 4) Find the value of x
we know that
The value of x is equal to multiply the length side FK by the scale factor
so
[tex]AE=FK(z)[/tex]
substitute the values
[tex]AE=18(2/3)=12\ units[/tex]
Part 5) Find the perimeter of ABCDE
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of ABCDE
y-----> the perimeter of FGHJK
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=\frac{2}{3}[/tex]
[tex]y=15+9+12+15+18=69\ units[/tex]
substitute the values
[tex]z=\frac{x}{y}[/tex]
[tex]x=(z)(y)=\frac{2}{3}(69)=46\ units[/tex]
What is the value of x?
Answer: 12
Step-by-step explanation:
You can use what is called geometric mean to solve this.
The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.
You find "X" by using geometric mean and the proportion:
16/X=X/9
Then cross multiply to get 16 x 9= 144
then 144=x²
Solve for X.
X=12
Drew earns $65 washing 5 dogs. At this rate, how much does Drew earn washing 3 dogs?
Answer:
39
Step-by-step explanation:
the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest
Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.
Answer: $39
Angles R and S are vertical angles. Angle R has a measure of (4x + 20). Angle S has a measure of 84. What is the value of x?
Answer:
x = 16
Step-by-step explanation:
Note that vertical angles are congruent, hence
4x + 20 = 84 ( subtract 20 from both sides )
4x = 64 ( divide both sides by 4 )
x = 16
The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32
Answer:
x=15/8
Step-by-step explanation:
Inverse variation is given by
xy = k
Substituting x=5 and y=12
5*12 = k
60 =k
Our original equation is xy = 60
Now let y=32
x*32 = 60
Divide each side by 32
32x/32 = 60/32
Divide top and bottom by 4
x = 15/8
a father is 10 times as old as his son. in 5 years he will be 5 times as old as his son. how old is the father and the son now
Answer:
The father is 40 and the son is 4.
Step-by-step explanation:
40 + 5 = 45.
4 +5=9.
45 divided by 5 = 9
Answer:
The father is 40 and the son is 4.
Step-by-step explanation:
What can you say about the yvalues of the two functions f(x)=3^x-3 and g(x)=7x^2-3 please answer
Answer:
Step-by-step explanation:
This question is too general. We can take a look at the behaviors of the two different graphs:
f(x)=3^x-3 is an exponential function whose y-intercept is (0, -2). Note that 3^0 = 1. To draw this function, we'd drawn f(x)=3^x first and then translate the whole graph down by 3 units. The graph appears in Quadrants III, IV and I, in that order.
g(x)=7x^2-3 is not an exponential function, but rather a quadratic whose graph is a parabola. Here the parabolic graph opens up. Its y-intercept is (0, -3). This graph will intersect that of f(x)=3^x-3 in two places.
A: False. It is g that has minimum y value of -3. The minimum y value of f is -2.
B: The smallest y value f can have is just above y = -2. y = -2 is the horizontal asymptote for this function. The smallest y value g can have is -3. So B is False.
C: True. g has the smallest possible y-value; it is -3.
D: True. The min. y-value of g is -3.
Answer: C and D are true
Step-by-step explanation:
A P E X
Subtract (5x + 3) from (9x – 7).
Answer:
4i - 10
Step-by-step explanation:
9x - 7 - 5x - 3 = 4i -10
Amy has a bowl of cereal for breakfast. the amount of cereal in the box (y) is determined by the number of days (x) that have passed since she purchased the cereal. The graph below shows that this relationship is a linear function. Consider an appropriate domain for this situation. What would be the greatest value for this domain?
I can't upload the graph. It's not working but here are the plotted coordinates:
0,48
1,44
2,40
3,36
4,32
There's no line connecting them.
Answer:
d=[0,12]
Step-by-step explanation:
Answer:
The function is f(4)=32, so the domain is (-infinity,infinty)
The domain is infinty :)
50 POINTS PLEASE HELP
first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6
now factor the numerator (x+3)(x-2)
now find the restriction 3x-6=0 3x=6 x=2
now factor the denominator 3(x-2)
((x+3)(x-2))/3(x-2)
now cross off the (x-2)
and you are left with (x+3)/3
ANSWERS:
The restriction is X=2
The simplified fraction is (x+3)/3
Answer:
First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6
now factor the numerator (x+3) (x-2)
now find the restriction 3x-6=0 3x=6 x=2
now factor the denominator 3(x-2)
(x+3)(x-2)/3(x-2)
now cross off the (x-2)
and you are left with (x+3)/3
The restriction is X=2
The simplified fraction is (x+3)/3
if sally had 3 apples and gave 2 away how many does sally have now
Answer:
Step-by-step explanation:
3 - 2 = 1 apple
Sally has 1 apple.
Hope this helps.
Please mark as brainliest.
Identify the transformation performed in the figure below :
Answer:
Translation
Step-by-step explanation:
You just move the shape down
Answer:
Step-by-step explanation: translation.
Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.
write a point slope equation for the line that has slope 13 and passes through the point (15,12) do not use parenthesis on the y side
Answer:
[tex]y-12=13(x-15)[/tex]
Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=13[/tex]
[tex](x1,y1)=(15,12)[/tex]
substitute
[tex]y-12=13(x-15)[/tex] -----> equation of the line into point slope form
Answer:
Y-12=13(x-15)
Step-by-step explanation:
What is the product of 2/8 and 3/5?
Multiply the top values together and the bottom values together.
(2/8)*(3/5)
=(2*3)/(8*5)
=6/40
=3/20
Hope this helps!
Answer:
3/20
Step-by-step explanation:
2 3
-- * --- = 6/40, or 3/20
8 5
You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5. Then: 2 times 3 is 6, and 8 times 5 is 40.
Reduce 6/40 to 3/20, your final answer.