Answer:
1800/60=30
Step-by-step explanation:
Answer:
the first answer is correct
Translate the sentence into an equation.
Eight more than the quotient of a number and 7 is equal to 3.
The " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
The equation 8( x/ 7) = 3 represents the judgment " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
" Eight further than" implies addition, so we've 8 " The quotient of a number and 7" means dividing a number by 7, so we've x/ 7 " is equal to" means that the expression on the left side is equal to the expression on the right side, so we've = " 3" is the value to which the expression on the left side is equal, so we've 3 Putting it all together the judgment " Eight further than the quotient of a number and 7 is equal to 3" can be restated into the equation ( x/ 7) = 3
In this equation, x represents the number we're trying to find. To break for x, we can manipulate the equation using algebraic operations to insulate x on one side of the equation. By abating 8 from both sides of the equation, we get ( x/ 7)- 8 = 3- 8 Simplifying, we have x/ 7 = -5
To insulate x, we can multiply both sides of the equation by 7 *( x/ 7) = -5 * 7 This gives us x = -35 thus, the equation 8( x/ 7) = 3 represents the judgment " Eight further than the quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
To know more about Quotient .
https://brainly.com/question/11418015
#SPJ11
[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix
Answer:
4 by 3
Explanation:
Rows by columns
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes? *
A3 B4 C5 D6
Answer:
C5
Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4. Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.
10x2= 20 +5= 25 Answer:5
Marcus corrió 5 millas en 45 minutos.
A. Calcula su tasa unitaria en millas por hora. (Redondea a la décima de milla más cercana)
B. Encuentre su tasa unitaria en millas por minuto. (Redondea a la décima de milla más cercana)
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
PLEASE HELP!!!! if two hedgehogs ate one hedgehog WOULD IT BE A CANNIBAL?? PLEASE HURRY
Answer:
well yes dur
Step-by-step explanation:
Answer:
yes because its the same species of the animal it ate so it cant be considered prey
Step-by-step explanation:
find the Square root of 49/10000
Answer:
o.ooo7
Step-by-step explanation:
The square root of 49/10,000 is 0.0007.
Hope this helps
please mark as brainlist
which range function will create a list with all odd numbers between 5 and 77?
A range function that will create a list with all odd numbers between 5 and 77 is range(5, 78, 2).
The range function is a built-in function in Python which returns a sequence of numbers, starting from 0 by default, and increments by 1 (by default), and stops before a specified number. In other words, the range function returns a sequence of numbers between the given range. In order to create a list of all odd numbers, the start and end of the range is specified first, and the condition is specified next. As the difference between two consecutive odd numbers is two, it is the defined increment. Hence, the range will give a lists as 5, 7, 9, 11,…..,77.
Learn more about Range function:
https://brainly.com/question/22291227
#SPJ4
Nikhil and Mae work at the same company. Nikhil has been at the company 4 time+s as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to Apply a System of Equations?To solve the system of equations, let's substitute the value of x from the first equation into the second equation:
x = 4y
8 + 2y = 4y
Simplifying the equation, we get:
8 = 2y
Dividing both sides by 2:
4 = y
Now, substitute the value of y back into the first equation to find x:
x = 4y
x = 4(4)
x = 16
Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.
The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
Learn more about System of Equations on:
https://brainly.com/question/13729904
#SPJ1
Miss Penny inherits £330.
She decides to save some of the
money and spend the rest.
The ratio of savings to spending
money is 7:4
How much does she save and how
much does she spend?
Saving
Spending money
Answer:
she saves £210 and spends £120
Step-by-step explanation: Total ratio = 7+4 +=11
saved =(7/11)x330=210
spent =(4/11)x330=120
3In the figure shown, AD and BE are perpendicular bisectors of each other.Prove AACB ADCE.Explain your reasoning.ABXED
Since AD and BE are perpendicular bisectors of each other, we can conclude:
\(\begin{gathered} CA=CD \\ CE=CB \end{gathered}\)Besides, ∠ACB and ∠ECD are vertical angles, so, we can conclude:
\(\angle ACB=\angle ECD\)If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent, therefore:
\(\Delta ACB\cong\Delta DCE\)By Side-Angle-Side (SAS) Congruence.
PLS HELP QUICKLY!!!!!!!!!!
Answer:
6.300
Step-by-step explanation:
Answer: What is "A" rounded to the nearest thousandth? answer: 6.340
What is "A" rounded to the nearest hundredth? Answer: 6.300
Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.
Hope this helps, I'm doing math too, just taking a break to help someone else out.
write an equation of the line that passes through (4,3) and is parallel to the line y=1/4x+10
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{4}}x+10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line whose slope is 1/4 and that it passes through (4 , 3)
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{ \cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-3=\cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x+2 \end{array}}\)
Please help me with this problem: I have attach the image to the problem Solve the system of equations by hand using the graphing method. Provide the mathematical steps taken to reach each point for the graphs especially the quadratic equation since those require specific calculations. Graph the functions and state the solution(s).
Given the function
\(\begin{gathered} f(x)=-x+5 \\ g(x)=x^2-3x+2 \end{gathered}\)We can find the graph of the function below.
Explanation
First, we will pick points for the x -coordinates. The set of suitable values for f(x) will be in the range
\(-3\leq x\leq3\)The set of suitable values for g(x) will be in the range
\(-3\leqslant x\leqslant5\)Part A: Table of values for f(x) i.e y
\(\begin{gathered} When\text{ x =-3} \\ y=-x+5=-(-3)+5=8 \\ when\text{ x=-2} \\ y=-(-2)+5=7 \\ when\text{ x =-1} \\ y=-(-1)+5=6 \\ when\text{ x =0} \\ y=(0)+5=5 \\ when\text{ x =1} \\ y=-1+5=4 \\ when\text{ x=2} \\ y=-2+5=3 \\ when\text{ x= 3} \\ y=-3+5=2 \end{gathered}\)Therefore the table of values for f(x) becomes
Part B: Table of values for g(x) i.e y
\(\begin{gathered} when\text{ x=-3} \\ y=x^2-3x+2=(-3)^2-3(-3)+2=20 \\ When\text{ x = -2} \\ y=(-2)^2-3(-2)+2=12 \\ When\text{ x= -1} \\ y=(-1)^2-3(-1)+2=6 \\ when\text{ x =0} \\ y=(-0)^2-3(-0)+2=2 \\ When\text{ x= 1} \\ y=(1)^2-3(1)+2=0 \\ when\text{ x= 2} \\ y=(2)^2-3(2)+2=0 \\ when\text{ x= 3} \\ y=(3)^2-3(3)+2=2 \\ When\text{ x =4} \\ y=(4)^2-3(4)+2=6 \\ when\text{ x=5} \\ y=(5)^2-3(5)+2=12 \\ \end{gathered}\)The table of values
Therefore, we can plot the graph below
Question 8 of 8
Which of the following can be useful when finding the value of a variable?
Check all that apply.
A. drawing a diagram
B. reading a table
C. writing an equation
D. drawing a graph
Answer:
C
Step-by-step explanation:
Cos the value of the variable can only be found when in an equation together with it's coefficient
Answer:
i dont care
Step-by-step explanation:
can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
Find the length of an arc of a circle whose central angle is 322o and radius is 4 km. Round your answer to the nearest tenth.
Answer:
The correct answer is = 22.4 km
Step-by-step explanation:
10 yd
17 yd
4 yd.
Find the surface area of the prism
The surface area of the rectangular prism is 502 mm²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The surface area of the prism = 2(8 mm * 13 mm) + 2(8 mm * 7 mm) + 2(7 mm * 13 mm) = 502 mm²
The surface area is 502 mm²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
A bookshelf sits on top of a large desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet. How tall is the bookshelf?? Let the height of the bookshelf = x and the height of the desk = y.
Answer: 4.9
Step-by-step explanation:
The height of the bookshelf is 4.3 feet and the height of the desk is 2.45 feet.
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.
Given:
A bookshelf sits on top of a large desk.
Together, their height is 6.75 feet.
The difference between their heights is 1.85 feet.
Let the height of the bookshelf = x and the height of the desk = y.
x + y = 6.75 {equation 1}
x - y = 1.85 {equation 2}
Add both equations,
we get,
2x = 6.75 + 1.85
2x = 8.6
x = 4.3
And from equation 2,
y = 2.45
Therefore, the solution is x =4.3 and y = 2.45.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ5
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)
Learn more on trigonometry here: https://brainly.com/question/7331447
#SPJ1
Consider the graph of the function f. a) Find the domain, range, and zeros of the function. b) write an equation for the function f. (In vertex form, standard form, or intercept form)c) compare the graph of f to the graph of g(x) = x^2.
Solution:
Given the graph;
(a) The domain of a function is the set of values for which the function is real and defined. Thus, the domain D is;
\(\begin{gathered} (-\infty,\infty) \\ D:All\text{ }real\text{ }numbers \end{gathered}\)The range is;
\(y\leq8\)The zeros of the function are the points y=0;
\(x=1,x=5\)(b) The equation of a parabola in vertex form is;
\(\begin{gathered} y=a(x-h)^2+k \\ Where\text{ }(h,k)\text{ is }the\text{ }vertex; \\ and\text{ }given\text{ }(1,0) \\ \\ 0=a(1-3)^2+8 \\ \\ -8=4a \\ \\ a=-2 \\ \\ \end{gathered}\)Thus, the equation is;
\(y=-2(x-3)^2+8\)(c) Using the graph below;
The graph of g(x) has its intercept at (0,0).
The transformation goes as;
Vertical stretch 2units, reflection over the x-axis, horizontal shift to the the right 3 units, vertical shift up 8 units
Using (5,0);
\(\begin{gathered} y=a(x-h)^2+k \\ \\ 0=a(5-3)^2+8 \\ 4a=-8 \\ \\ a=-2 \end{gathered}\)pls hellppp Sam bought 3 pairs of flipflops for $12.60. What would be the unit price?
Answer:
$4.20 per pair of flipflops
Step-by-step explanation:
12.60 / 3 = 4.20
Combine like terms. 5y - 8 - y
hence the combination=
\( \bold {4y - 8}\)
All the best !
Answer:
4(y-8)
Step-by-step explanation:
5y-y (1) = 4y-8
4 (y-8)
a 5-card hand is (randomly) drawn from a standard 52 card deck. (a) what is the probability that the hand contains all clubs? (b) what is the probability that the hand contains three aces and two kings? (c) what is the probability that the hand contains 4 cards of the same suit, and 1 of another suit?
(a) The probability of drawing the first club is 13/52 (since there are 13 clubs in the deck out of 52 total cards).
After that, there are 12 clubs left out of 51 cards, so the probability of drawing a second club is 12/51.
Similarly, the probability of drawing a third club is 11/50, the probability of drawing a fourth club is 10/49, and the probability of drawing a fifth club is 9/48. Therefore, the probability of drawing a 5-card hand with all clubs is: (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.000495% (rounded to six decimal places)
(b) The number of ways to choose 3 aces out of 4 is (4 choose 3) = 4, and the number of ways to choose 2 kings out of 4 is also (4 choose 2) = 6. The remaining card can be any of the 44 non-aces and non-kings in the deck. Therefore, the number of 5-card hands that contain 3 aces and 2 kings is: 4 x 6 x 44 = 1056
The total number of 5-card hands is (52 choose 5) = 2598960. Therefore, the probability of drawing a 5-card hand with 3 aces and 2 kings is: 1056/2598960 = 0.04074% (rounded to five decimal places)
(c) There are four suits in a standard deck, so there are four ways to choose the suit that will have 4 cards in the hand. The number of ways to choose 4 cards from a single suit is (13 choose 4) = 715. The remaining card can be any of the 39 cards in the other three suits. Therefore, the number of 5-card hands that contain 4 cards of the same suit and 1 card of another suit is: 4 x 715 x 39 = 111540
The total number of 5-card hands is (52 choose 5) = 2598960. Therefore, the probability of drawing a 5-card hand with 4 cards of the same suit and 1 card of another suit is:
111540/2598960 = 4.29% (rounded to two decimal places)
You can read more about probability at https://brainly.com/question/24756209
#SPJ4
Help I hope you can see both
Answer:
15 degrees for the first one
90 degrees for the second one
Step-by-step explanation:
20p-8p-6p=12 please make sure it's right
Answer: step by step
Step-by-step explanation:
not totally sure what you're asking but in this equation p=2
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250
Which expression is equivalent to 1/4(2 – 5x + 6)?
Answer: the answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the volume of a small cake to be 351 cubic inches. The cake is in the shape of a rectangular solid. They want the length of the cake to be four inches longer than the width of the cake and the height of the cake to be one-third of the width. What should the dimensions of the cake pan be?
answer me and I will brainiest you
Answer: The sheet cake pan should have dimensions 13 inches by 9 inches by 3 inches.
How long would it take the snail to crawl 65 inches?
A) 65 Minutes
B) 60 Minutes
C) 6 Minutes
D) 6.5 Minutes
Answer:
it would take 6 mins
Step-by-step explanation: