10.A water tank has strps inside it. A monkeyis sitting on topmost floor(i.e.,the first step).The water level is at ninth step. (i) He jumps 3 steps down and then jumps back 2 strps up.In gow many jumps will he reach the water level? Ch-integers class-7
Answer:
7 steps.
Step-by-step explanation:
Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.
9-1 = 8 steps left
The monkey jumps 3 steps down
8-3= 5 steps
Then jumps 2 steps up
5 + 2 = 7 steps
The monkey has 7 more steps until he reaches the water level.
paralelal line y=7x-4
perpendicular line y=2/3x-4
Answer:
M parallel = negative 7
M perpendicular = negative as 3 is the numerator and 2 is the denominator
Step-by-step explanation:
Factoriser
4t(t+2) + 3(t+2)
-3y(y+6) + 7(y+6)
Answer: (t + 2) (4t + 3), (-3y + 7) (y + 6)
Which sentence is true?
Hello I need help it’s 1 pm and I haven’t finish my homework plz help
Answer:
All parallelograms have 4 equal sides
Answer:
I don't know
Step-by-step explanation:
thanks for the points again.
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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PLEASE HELP
8√18 x 3√8 =
Answer:
hope this helps
Step-by-step explanation:
100 Points! Geometry question. Find x and y. Photo attached. Please show as much work as possible. Thank you!
The calculated values of x and y in the figure are x = 2 and y = 4
How to calculate x and y in the figurefrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
equal side lengths
This means that
2y - 1 = 3y - 5
Evaluate
y = 4
Next, we have
x + 3 = 3/2x + 2
So, we have
1/2x = 1
This gives
x = 2
Hence, the values of x and y in the figure are x = 2 and y = 4
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The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
Determine if the rates are equivalent. Explain your reasoning.5 cans of soup for $3.75; 8 cans of soup for $6.00
Answer:
They are equivalent
Step-by-step explanation:
Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.
Answer:
The rates are equivalent
Step-by-step explanation:
To find the unit cost you divide the price by the number of units
3.75÷5=0.75
6.00÷8=0.75
To determine whether or not the rates are equivalent, compare the unit costs
0.75=0.75
Therefore, the rates are equivalent
Hope this was helpful :)
1 4/5 x 5/12 another question pls urgent
Answer:
45/60 or 3/4
Step-by-step explanation:
You have to convert any mixed number into a fraction
1 4/5 = 9/5
5/12 = 5/12
Then you multiply across
9 x 5 = 45
5 x 12 =60
Then you would simplify the answer
\(\frac{45}{60} = \frac{3}{4}\)PLEASE HELPPP THANKS
Answer: The last option. X is greater than or equal to -3
Step-by-step explanation:
If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).
A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.
Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.
The volume of a rectangular solid of length l, width w and height h is given by:
\(V = lwh\)
Applying implicit differentiation, the rate of change of the volume is given by:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
In this problem:
Volume is decreasing at a rate of 2 m3/sec, hence \(\frac{dV}{dt} = -2\)The length and width walls move toward each other at a rate of 0.25 m/ sec, hence \(\frac{dl}{dt} = \frac{dw}{dt} = 0.25\)Length and width are 2 m and the height is 1.5 m, hence \(l = w = 2, h = 1.5\)Then:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
\(-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}\)
\(4\frac{dh}{dt} = -3.5\)
\(\frac{dh}{dt} = -\frac{3.5}{4}\)
\(\frac{dh}{dt} = -0.875\)
The height is changing at a rate of -0.875 m/sec.
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Please answer Fast!!!! I will award 100 points for correct answer
Answer:
52
Step-by-step explanation:
56+(x+72) =180
180 because it is supplementary
Answer:
x=12
corect me im wrong paki report nalang kung mali
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
The typical amount of sleep per night for college students can be assumed to be normally distributed with a mean of 7 hours and a standard deviation
of 1.2 hours. From the Standard Deviation Rule, we know that about 95% of the college students typically sleep between:
A 5.8 and 8.2 hours per night
B 4.6 and 9.4 hours per night
C 6 and 8 hours per night
Dit is impossible to determine the answer from the given information.
Answer:
B 4.6 and 9.4 hours per night.
Step-by-step explanation:
Which expression is equivalent to 2x + 2x + 2y + 2y?
add like terms. y's and x's go with other y's and x's
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Graph the solution to this inequality on the number line.
−18≤−3p
The solution of the inequality expression −18≤−3p is p ≤ 6.
What is inequality?Inequality, A declaration of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
Hence, to solve for −18≤−3p, let's make P the subject of the formula.
-3p ≥ -18
Using -3, divide both sides
⇒ -3p/-3 ≥ -18/ -3
Hence,
⇒ P ≤ 6
See the graph attached.
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For the following sequence: 6,15,24,33,.....
a) Write an expression for the nth term
b) Find the 10th term.
Answer:
a) The common difference between consecutive terms is 9. Thus, the nth term can be expressed as:
n(9)+(-3)
b) To find the 10th term, we substitute n=10 in the expression we just found:
10(9) + (-3) = 87
Therefore, the 10th term of the sequence is 87.
show that a) cos3∅=cos²∅-3cos∅sin²∅
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
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Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
Select the correct answer.
Which expression is equivalent to the given expression?
(3m^-4)^3(3m^5)
A.
B.
C.
D.
Answer:
\(d)\ \frac{81}{m^{7}}\)
Step-by-step explanation:
\((3m^-4)^3(3m^5)\)
First, simplify \((3m^{-4})^3\):
\((3m^{-4})^3\\\\3^3*m^{-4*3}\\\\27m^{-12}\)
\(27m^{-12}*3m^5\\\\27*3 *m^{-12+5}\\\\81m^{-7}\\\\81*\frac{1}{m^{7}} \\\\\frac{81}{m^{7}}\)
Hope this helps!
Black bird starts his flight from point (4,0). His flight path reaches a maximum height of 28 yards and lands at point (38,0) . What is the vertex form, intercept form, and. standard form
the answer is answer nice answer
Answer:
What is the vertex form, intercept form, and. standard form :
Standard form is used for performing the quadratic formula on, or finding if the equation is a polynomial function. Vertex form is used to find the vertex of the function to graph it. Intercept form is used for completing the square or finding the intercepts or solutions of the graph. brainlest pls if u can thank youu !
The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 4 feet more than twice its height. If the area of the triangle is 63 square feet,
determine the length of the base and the height of the triangle in feet.
Answer:
height = 7 ft
base = 18 ft
Step-by-step explanation:
Area of a Triangle
\(\sf A=\dfrac{1}{2}bh\)
where:
A = areab = baseh = heightIf the base of the triangle is 4 feet more than twice its height, then:
b = 2h + 4Substitute the given area and the found expression for b into the formula and solve for h:
\(\begin{aligned}\sf A & = \sf \dfrac{1}{2}bh\\\implies \sf 63 & = \sf \dfrac{1}{2}(2h+4)h\\\sf 126 & = \sf (2h+4)h\\\sf 126 & = \sf 2h^2+4h\\\sf 2h^2+4h-126 & = \sf 0\\\sf 2(h^2+2h-63) & = \sf 0\\\sf h^2+2h-63 & = \sf 0\\ \sf h^2+9h-7h-63 & = \sf 0\\ \sf h(h+9)-7(h+9) & \sf = \sf 0\\\sf (h-7)(h+9) & = \sf 0\\\implies \sf h& = \sf 7, -9\end{aligned}\)
As length is positive, h = 7 ft.
Substitute the found value of h into the expression for b and solve for b:
\(\begin{aligned}\sf b & = \sf 2h+4\\\implies \sf b & = \sf 2(7)+4\\& = \sf 14+4\\& = \sf 18\end{aligned}\)
Therefore, b = 14 ft.
1/3 (9x + 3) = 2x +1
please help me by putting the answer and telling me the steps! I have an F in this class.
Answer: The answer is x=0
Step-by-step explanation:
x = 0
Step by step explanation:
STEP 1:
Expand:
\( \frac{1}{3} (9x + 3) = 3x + 1\)
Now, this gets us..
\(3x + 1 = 2x + 1\)
STEP 2:
Subtract 1 from both sides:
\(3x + 1 - 1 = 2x + 1 - 1\)
STEP 3:
Simplify:
\(3x\)
AND,
\(2x\)
STEP 4:
Subtract 2x from both sides:
\(3x - 2x = 2x - 2x\)
Once you do that.. Simplify it and you will get:
\(x = 0\)
So, therefore..
Your answer is: (x = 0)
Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.
24/96 = 0.25 * 100 = 25%
Answer:
Of the 96 pins, 25% of the pins were blue.
Step-by-step explanation:
We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.
With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.
\(96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}\)
Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.
\(\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}\)
Then, we can convert our fraction to a decimal.
\(\displaystyle \frac{1}{4} = 0.25\)
And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.
\(0.25\times100 = 25\%\)
Therefore, of the 96 pins that Martina ordered, 25% of them were blue.
I need help
While making pastries, a bakery used 5 3/8 bags of wheat flour and 2 3/4 bags of white flour. How many bags of flour did the bakery use in all?
let's firstly convert the mixed fractions to improper fractions and then sum them up.
\(\stackrel{mixed}{5\frac{3}{8}}\implies \cfrac{5\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{43}{8}}~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{8}+\cfrac{11}{4}\implies \cfrac{(1)43~~+~~(2)11}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{43+22}{8}\implies \cfrac{65}{8}\implies 8\frac{1}{8}\)
I searched it and all answers were wrong
Answer:
answer is 1
Step-by-step explanation:
you do 2 times to the second power you get 4 and you do that 3 more times then you will get the fractions 12/12 which you can simplify to a whole number which will be 1
What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.