A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?
Answer:
1.714 feet
Step-by-step explanation:
slope is rise over run.
rise would be the vertical measurement and run would be the horizontal measurement.
24/14 = 12/7
12/7 = 1.714
How do you do this problem:
1- 3 (4 - 3) + (27- 2 x 3)
Answer:
19
Step-by-step explanation:
Do what is in parenthesis first.
(4 - 3) = 1
(27 - 2 * 3) = (27 - 6) = 21
Now the equation looks like this:
1 - 3 (1) + (21) =
1 - 3 + 21 =
19
Can someone help me out please
What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?
The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters
Volume of a spherevolume of a sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 397m³
Diameter = radius × 2
Hence,
volume of a sphere = 4 / 3 πr³
volume of a sphere = 4 / 3 × 3.14 × r³
397 = 12.56 / 3 r³
cross multiply
397 × 3 = 12.56 r³
1191 = 12.56 r³
divide both sides by 12.56
r³ = 1191 / 12.56
r = ∛94.8248407643
r = 4.56009658
Hence,
diameter = 4.56009658 × 2 = 9.12 = 9.1 meters
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Bill went on a very long run, so he ran kind of slowly. He ran 2 miles in 30 minutes. How many miles would he run in three hours?
Answer:
12 miles
Step-by-step explanation:
There are 3 hours = 180 minutes
180÷30=6
6×2=12
Hope that helps!
Answer:
12 miles
Step-by-step explanation:
If f and f ◦ g are onto, does it follow that g is onto? justify your answer
The functions f, g and f ◦ g are illustrations of relations and functions
If f and f ◦ g are onto, it does not necessarily follow that g is onto
How to complete the statement?The onto functions are given as:
Function fFunction f ◦ gConsider the functions f and g.
The function f is an onto function, if for every element of function f, there is at least one matching element with function g.
The above definition implies that the following definition is not a condition for the two functions to be an onto function
If for every element of function g, there is at least one matching element with function f.
Hence, it does not necessarily follow that function g is onto
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Juan went shopping for a new pair of sneakers because of a sale. The price on the tag was $28, but Juan paid $23.80 before tax. Find the percent discount.
Answer:
15% off
Step-by-step explanation:
28-23.80 = 4.2$
23.8/28 = 0.85
100-85 = 15
15%
What property of operations is used to show that 12x + 6y is equivalent to(2x + y)?
Answer:
Distributive property. When you factor out a GCF, from 12x + 6y, you would get 6(2x+y).
Step-by-step explanation:
12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.
What is Number system?A number system is defined as a system of writing to express numbers.
The distributive property states that a(b + c) = ab + ac, where a, b, and c are any real numbers.
We can apply this property to the expression 2x + y by multiplying 2x by 6 and y by 6, giving:
12x + 6y = 6(2x) + 6(y)
Then, we can use the distributive property again to simplify the expression inside the parentheses:
6(2x) + 6(y) = 6(2x + y)
Substituting this expression back into the original equation, we get:
12x + 6y = 6(2x + y)
Simplifying further by dividing both sides by 6, we obtain:
2x + y = 12x/6 + 6y/6
2x + y = 2x + y
Therefore, we have shown that 12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.
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Help I’m so bad at math
If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.
Therefore, if angle B = 145, then angle E is also 145.
Answer: C) 145
Hope this helps!
6. Owen weighed 3 different bugs. List the bugs
in order from lightest to heaviest.
Bug
Fly
Spider
Bee
Weight
2.5 x 10-4 ounces
7.1 x 10-5 ounces
4 x 10-3 ounces
A. Spider, Fly, Bee
B. Fly, Bee, Spider
C. Spider, Bee, Fly
D. Fly, Spider, Bee
I need a answer pleas
Answer:
The answer is D
D. 30x + 15y
John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)
to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm
[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]
A toy bin contains 12 yellow balls,3 orange balls,and 5 white balls. What is the probability of selecting an orange or a white ball?
A. 3/80
B. 3/20
C. 1/4
D. 2/5
Answer:
D. 2/5
Step-by-step explanation:
Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5
PLEASE HURRY!
A bag of tokens contains 5 red, 10 green, and 8 blue tokens. What is the probability that a randomly selected token is red and green? Enter your answer as a fraction.
Answer:
50/529
Step-by-step explanation:
Total: 5 + 10 + 8
= 23
P(A and B) = P(A) x P(B)
P(A and B) = 5/23 x 10/23
P(A and B) = 50/529
five whole numbers are written in order
4 6 x y 10
the mean and the median of the five numbers are the same
Answer:
7
Step-by-step explanation:
4+6+7+8+10= 35/5= 7
Median and Mean= 7
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches. Part B Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish. Convert 976 cups to gallons. 976 cups equals gallons.
Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.
Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches
Width = 1.5 feet = 1.5×12 = 18 inches
Height = 20 inches
A.) The volume of the fish tank can be written as,
[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]
[tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]
Thus, the volume of the fish tank is 14,040 in³.
B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,
[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]
Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,
[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]
As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.
Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.
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!!!!!PLEASE HELP!!!!!
Over which interval of the domain is function m negative?
Y
10
8-
6-
어
4
+
2-
X
1-10 -8
-6
-4
4
6
8
10
-2 1012
-2
-4-
-6
-8-
-10-
O A. (6, )
O B. (0, )
Answer:
The answer would be A. (6, infinity)
Step-by-step explanation:
Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.
I hope this helps!
What is the surface area of this right triangular prism?
Answer:21.08in^2.
Step-by-step explanation:A=2(wl+hl+hw)=2·(4·8+3·8+3·4)=136cm2
136 cm^2 to inch^2.=21.08
Answer:
96in²
Step-by-step explanation:
i took k-12 quiz
Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
Please Help I'm Confused.
1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4
Answer:O a=5,b= -4,0 = 9?
Step-by-step explanation:i am not sure if this is right
1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!
Answer:
4 7/8
Step-by-step explanation:
First we need to gte the denominators the same!
So we multiply the 1/4 by 2
1/4 x 2 = 2/8
Now we subtract the 2/8 from 5 1/8 to get our answer :)
5 1/8 - 2/8 = 4 7/8
Your final answer will be 4 7/8 :)
Have a great day!
Please rate and mark brainliest!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
1st answer was wrong
area of circle - quarter
Step-by-step
100pi- (100pi÷4)
100pi - 25pi
75pi
How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?
Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Answer:
Step-by-step explanation:
An example is a^2 - b^2.
Also 64 - 49 (as 64 are both perfect squares).
The way to factor is by using the identity:
a^2 - b^2 = (a - b)(a + b) ( a + in one parentheses and - in the other)
Examples:
x^2 - 4y^2 = (x - 2y)(x + 2y) [ x is the square root of x^2 and 2y is square root of 4y^2)
144 - 16 = (12 - 4)(12 + 4)
9x^2 - 36y^2 = (3x - 6y)(3x + 6y)
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,8) and perpendicular to 3x + 5y = 1
Step-by-step explanation:
a) 2y = 3x + 4
b) given the perpendicular
3x + 5y = 1
5y = 1 - 3x
y = 1/5 - 3x/5
m¹ = -3/5
perpendicular
m¹m² = -1
-3m²/5 = -1
m² = 5/3
so (1,8)
x¹ = 1 y¹ = 8
m² = (y - y¹)/(x - x¹)
5/3 = (y - 8)/(x - 1)
5x - 5 = 3y - 24
3y - 5x + 5 - 24 = 0
3y = 19 + 5x
Which table does NOT represent a linear function?
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
x values: -1, 0, 1, 2- we add 1 each time
y values: 8, 5, 2, -1- we subtract 3 each time
[tex]\rule{200}{2}[/tex]
Let's try the next one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 5, 10, 15, 20- we add 5 each time
[tex]\rule{200}{2}[/tex]
Let's try the third one:
x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 1, 2, 3, 4- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
The circumference of a compact disc is 28.26 centimeters. If the diameter of the
compact disc is 9 centimeters, which of the following best describes n?
Answer:
Step-by-step explanation:
where is the full question????
For the below expressions, write an equivalent expression that
uses only addition.
1a.) 20 - 9 + 8-7
1b.) 4x -7y -52 + 6
1c.) -3% -8y - 4 - 8/72
Answer:
So this is pretty much endless but here are a few examples:
3+3+3+3
4x+(-7y) + (-46)
-3% + (-8y) + (-4) + (-0.1111)
Step-by-step explanation:
Hope this helps have a great rest of your day
Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Fraction is converted to percentage:
[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %
Hope this helps
Round each decimal to the nearest whole number.
6.85
0.37
2.5
16.1
Answer:
7
0.37 is closest to 0 but probably 1
3
16