What type of angles are 1 and 5?
vertical
supplementary
corresponding
complementary
Answers
Answer:
corresponding
Step-by-step explanation:
Answer:
Corresponding
Step-by-step explanation:
I like to call corresponding angles, the copy and paste angles because you can copy and paste the top intersection over the bottom intersection; the angles that lay down on top of each other are the corresponding angles. 1 and 5 do this.
Related Questions
Cinemark Theater has three categories for ticket prices. Adult tickets
sell for $6.50 after 3pm or $3.25 for a matinee (before 3pm), and Under 12
tickets sell for $3 at any time. The theater has a maximum capacity of 408
seats. What is the greatestamount that could be collected at:
a) an 8pm showing?
b) a 1pm showing?
c) Explain how much you think would be collected at a
matinee showing of a children's movie.â
Answers
3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
Answers
Answer:
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Step-by-step explanation:
x | y
-------
1 5
5 10
9 15
13 20
This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.
So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,
( 1 , 5)
-( 5 , 10)
----------------
-4 -5
So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.
So we have m=5/4. Let's plug that into our y=mx+b.
y=5/4 x+b
To find b, we need to use y=5/4 x+b along with one of the given points.
Choose; it doesn't matter. I like (1,5) I guess.
y=5/4 x +b with (1,5)
5=5/4 (1)+b
5=5/4 +b
Subtract 5/4 on both sides:
5-5/4=b
20/4-5/4=b (Found a common denominator)
15/4=b
The y-intercept is 15/4 so b=15/4.
So the equation for the line in slope-intercept form is y=5/4 x +15/4.
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Answer:
It is linear.
The equation is 5x - 4y = -15.
Step-by-step explanation:
If it is linear then the slope between consecutive points will be the same.
Slope = (10-5)/(5-1) = 5/4.
slope = (15-10)/ (9-5) = 5/4
slope = (20-15)/ (13-9) = 5/4.
So the data relationship is linear.
y - y1 = m(x - x1)
Using the point (1, 5)
y - 5 = 5/4(x - 1)
y = 5/4x - 5/4 + 5
y = 5/4x + 15/4
4y = 5x + 15
5x - 4y = -15.
Jacob is saving to buy an MP3 player that costs $195. He earns $225 a week at a part-time job. His expenses are $180 a week. If he currently has saved $55, how many more weeks will it be before he can buy the MP3 player? (SHOW WORK)
Answers
Answer:
approximately 3 ....to be exact 3.1 weeks
Step-by-step explanation:
he earns 225 a week we know that right? and he has to take out 180 to pay for things... so right there you have 225-180=45 so that's 45 dollars a week he has. the MP4 player is 195 and he already has 55 dollars saved so 195-55= 140 so he still needs 140 dollars to buy it the question now is how many weeks will it take for him to save up to 140 dollars? you simply take 140÷45 (bc that's what he gets each week) and it should = 3.1
Answer: 3.1
Step-by-step explanation:
1. 225 a week in pay
2. 180 take out of pay
3. 225-180=45 a week from paycheck
4. Mp3 cost 195.00
5. 55.00 money saved
6. 195-55=140
7. 140÷45 after rounding 3.1
There is the answer
The pair of values below is from a direct variation. Find the missing number.
(4,6) and (x,3)
Answers
Answer:
The answer is 2.
2 since 6/4=3/2
Step-by-step explanation:
Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)
If y=kx then y/x=k.
So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.
So we are going to solve this proportion:
[tex]\frac{6}{4}=\farc{3}{x}[/tex]
Again I put y/x from each point. They should have same ratio because this is a direct variation.
Cross multiply:
[tex]6(x)=4(3)[/tex]
[tex]6x=12[/tex]
Divide boht sides by 6:
[tex]x=\frac{12}{6}[/tex]
[tex]x=2[/tex]
Answer:
Step-by-step explanation:
You are solving for the direct variation. This means that the amount of change for is consistent for both x & y:
Note: (x , y) & (x₁ , y₁)
(x , y) = (4 , 6)
(x₁ , y₁) = (x , 3)
Set the two equal to each other:
(4 , 6) = (x , 3)
Find common denominators (y). Remember that what you multiply to one you multiply to the other:
(4 , 6) = (x * 2, 3 * 2) = (2x , 6)
Simplify. Isolate the variable x. Divide:
(4) = (2x)
(4)/2 = (2x)/2
x = 4/2
x = 2
x = 2 is your answer.
Help! I need help on this
Answers
Check the picture below.
now we simply plug all those three sides in Heron's Area Formula.
[tex]\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=5.8\\ b=9.75\\ c=7.39\\ s=11.47 \end{cases} \\\\\\ A=\sqrt{11.47(11.47-5.81)(11.47-9.75)(11.47-7.39)} \\\\\\ A=\sqrt{11.47(5.66)(1.72)(4.08)}\implies A\approx \sqrt{455.5839955} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 21.3444~\hfill[/tex]
Answer:
area of triangle ABC is 21.39 square units.
C is the correct option.
Step-by-step explanation:
We know the formula for the area of the triangle ABC in terms of sine. The formulas are
[tex]A=\frac{1}{2}ab\sin C\\\\A=\frac{1}{2}ac\sin B\\\\A=\frac{1}{2}bc\sin A[/tex]
In the given triangle, we hae
b = 9.75
c = 7.39
A = 36.43°
Therefore, area of triangle ABC is given by
[tex]A=\frac{1}{2}bc\sin A\\\\\frac{1}{2}\cdot9.75\cdot7.39\sin36.43\\\\A=21.39[/tex]
Hence, area of triangle ABC is 21.39 square units.
C is the correct option.
Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a .
If polygon MNOPQ is translated 3 units right and 5 units down, it will coincide with a congruent polygon, VWXYZ, with its vertices at
Answers
Step-by-step explanation:
whuch topic does it belong to
Answer: The required transformation from ABCDE to MNOPQ is the reflection across the y axis.
And, the co-ordinates of the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3) and Z(3, 1).
Step-by-step explanation: Given that a polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.
We are to find the transformation.
We note that if (x, y) denotes the co-ordinates of a vertex of polygon ABCDE, then the corresponding vertex of polygon MNOPQ has co-ordinates (-x, y).
So, the sign before the x co-ordinate is changing, which gives the reflection across the y axis.
Therefore, the required transformation is the reflection across the y axis.
Also, the polygon is translated 3 units right and 5 units down so that it will coincide with a congruent polygon VWXYZ.
We are to find the co-ordinates of the vertices of polygon VWXYZ.
According to the given transformation rule, the co-ordinates of polygon MNOPQ changes as follows :
(x, y) ⇒ (x+3, y-5).
So, the vertices of polygon VWXYZ are
V(-2+3, 8-5) = V(1, 3),
W(-4+3, 12-5) = W(-1, 7),
X(-10+3, 12-5) = X(-7, 7),
Y(-8+3, 8-5) = Y(-5, 3),
Z(-6+3, 6-5) = Z(-3, 1).
Thus, the co-ordinates of the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3) and Z(3, 1).
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?
Answers
Answer:
The translation that maps the vertex of the graph of the function f(x) = x² onto the vertex of the function g(x) = x² - 10x + 2 is 5 units to the right and 23 units down.Explanation:
1) Vertex form of the function that represents a parabola.
The general form of a quadratic equation is Ax² + Bx + C = 0, where A ≠ 0, and B and C may be any real number. And the graph of such equation is a parabola with a minimum or maximum value at its vertex.
The vertex form of the graph of such function is: A(x - h)² + k
Where, A a a stretching factor (in the case |A| > 1) or compression factor (in the case |A| < 1) factor.
2) Find the vertex of the first function, f(x) = x²
This is the parent function, for which, by simple inspection, you can tell h = 0 and k = 0, i.e. the vertex of f(x) = x² is (0,0).
3) Find teh vertex of the second function, g(x) = x² -10x + 2
The method is transforming the form of the function by completing squares:
Subtract 2 from both sides: g(x) - 2 = x² - 10xAdd the square of half of the coefficient of x (5² = 25) to both sides: g(x) - 2 + 25 = x² - 10x + 25Simplify the left side and factor the right side: g(x) + 23 = (x - 5)²Subtract 23 from both sides: g(x) = (x - 5)² - 23That is the searched vertex form: g(x) = (x - 5)² - 23.
From that, using the rules of translation you can conclude immediately that the function f(x) was translated 5 units horizontally to the right and 23 units vertically downward.
Also, by comparison with the verex form A(x - h)² + k, you can conclude that the vertex of g(x) is (5, -23), and that means that the vertex (0,0) was translated 5 units to the right and 23 units downward.
Answer:
Its A
Step-by-step explanation:
edge 2021 :))
Using equivalent ratios to find a whole \/
Answers
Answer:
C.
Step-by-step explanation:
So there are 20 kids with brown hair and this represents 80% of the class total.
So this means 20=.8n since we don't know the total number of kids.
20=.8n
Divide both sides by .8
25=n
So 25 is the total number of kids.
C. is the answer
You could also setup this equation given that 80% is 80/100:
[tex]\frac{20}{\text{ total }}=\frac{80}{100}
To figure out what that total is there you can divide top and bottom of the fraction on right hand side by 4 which gives you the 20 on top and the 25 on bottom.
is a common external tangent to circles W and Y. What is the distance between the two centers of the circles? Round to the nearest hundredth. (Hint: Draw segment connecting the centers of the two circles, and then draw a segment, , so that YS + SZ = YZ and .)
Answers
Answer:
[tex]WY=42.8\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle WYS
Applying the Pythagoras Theorem
[tex]WY^{2}=WS^{2}+YS^{2}[/tex]
we have that
[tex]WS=XZ=42\ units[/tex]
[tex]YS=YZ-WX=19-11=8\ units[/tex]
substitute
[tex]WY^{2}=42^{2}+8^{2}[/tex]
[tex]WY^{2}=1,828[/tex]
[tex]WY=42.8\ units[/tex]
What square root of 9 is less than 2 squared
Answers
The square root of 9=3×3. 2 squared =2×2, which=4. Therefore, 3 is less than 4.
The square root of a number is = to a number squared.
Example: The square root of 25=5, or 5*5. Also, the number 5 squared= 5*5, which also is 25.
The square root of 9 is 3, but the negative square root of 9, which is -3, is less than 2 squared (4). Therefore, the answer to the question is -3.
Explanation:The square root of 9 is 3. We denote the square root symbolically as √9 = 3. However, if we're looking for which square root of 9 is less than 2 squared (which is 4), we consider that every positive number has two square roots: one positive and one negative. The negative square root of 9 is -3, which is indeed less than 4. Therefore, the square root of 9 that is less than 2 squared is -3.
Learn more about Square Root here:
https://brainly.com/question/1540542
#SPJ2
How many triangles are there that satisfy the conditions a = 13, b= 6, a=6°?
Answers
Answer:
did this problem came with a chart becuase i dont know what youre talkin about
Step-by-step explanation:
Answer:
1 triangle will satisfy the condition.
Step-by-step explanation:
I picked true but it told me it was incorrect, I looked it up and it says true, so is this statement really true or not?
Answers
Answer:
False
Step-by-step explanation:
What the attached image says that if two solids with equal heights and base areas are cut by any parallel plane to their bases then sections of equal area (volume) would be produced in them
1. Given the functions f(x)=3x-4 and g(x)=4x+10, find the value of x for which f(x) = g(x)
A. 2
B. -2
C. -6
D. -14
Answers
Answer:
answer is D
Step-by-step explanation:
3x-4=4x+10
3x=4x+14
-1x=14
x= -14
Answer:
-14
Step-by-step explanation:
It's multiple choice so we could plug in values of x and see which makes f(x)=g(x) true.
What I mean is would could plug in values of x to see which gives us
3x-4=4x+10 is true.
Or we could just solve it.
3x-4=4x+10
Subtract 3x on both sides:
-4=1x+10
-4=x+10
Subtract 10 on both sides:
-14=x
So x=-14 would make f(x)=g(x) hold.
Let's check it and see!
f(-14)=3(-14)-4=-42-4=-46.
g(-14)=4(-14)+10=-56+10=-46.
They have the same value of -46 so x=-14 is certainly going to make f(x)=g(x) be true.
A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor of the enlarged photo. (JUSTIFY)
Answers
Answer:
scale factor = 5
Step-by-step explanation:
To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is
scale factor = [tex]\frac{55}{11}[/tex] = [tex]\frac{45}{9}[/tex] = 5
WILL GIVE BRAINLIST please help I beg
Answers
Answer:
96°
Step-by-step explanation:
An angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.
x = 168/2 = 84°
A straight angle is 180 degrees
y = 180 - x = 180 - 84 = 96°
Which of the following problems would NOT have a solution?
Six pizzas are shared equally among three people, and you want to know how much each person gets.
Three pizzas are shared equally among two people, and you want to know how much each person gets.
Zero pizzas are shared equally among three people, and you want to know how much each person gets.
Two pizzas are shared equally among zero people, and you want to know how much each person gets.
Answers
Answer:
The correct option is D) Two pizzas are shared equally among zero people, and you want to know how much each person gets.
Step-by-step explanation:
Consider the provided information,
We need to identify the option which has no solution,
Consider the option A)
Six pizzas are shared equally among three people, and you want to know how much each person gets.
We can find how much each person gets by dividing the number or pizza with number of people:
Each person gets = 6/3 = 2
That means each person gets 2 pizza.
The problem has a solution.
Consider the option B)
Three pizzas are shared equally among two people, and you want to know how much each person gets.
We can find how much each person gets by dividing the number or pizza with number of people:
Each person gets = 3/2 = 1.5
That means each person gets 1.2 pizza.
The problem has a solution.
Consider the option C)
Zero pizzas are shared equally among three people, and you want to know how much each person gets.
We can find how much each person gets by dividing the number or pizza with number of people:
Each person gets = 0/3 = 0
That means each person gets 0 pizza.
The problem has a solution.
Consider the option D)
Two pizzas are shared equally among zero people, and you want to know how much each person gets.
We can find how much each person gets by dividing the number or pizza with number of people:
Each person gets = 2/0 = No solution
As we know any number divided by 0 has no solution.
Thus, the problem has no solution.
Hence, the correct option is D) Two pizzas are shared equally among zero people, and you want to know how much each person gets.
Given f(x) = -9x + 3 and g(x) = x4, choose
the expression for (fºg)(x).
Click on the correct answer.
-36x4 + 12
(-9x + 3)4
dxt + 3x4
-9x4+3
Answers
Answer:
The correct answer is the last one, at the bottom.
Step-by-step explanation:
You need to change in f(x) every 'x' for the expression given in g(x), since you have to build a compound function (fºg)(x).
So F(g(x))= F(x4)=-9*(x4)+3
Resulting (fºg)(x)=-9x4+3 (I only changed 'x' for 'x4', the term +3 is not changed since that is not a variable term, is just a constant number.
8. 37.5 ÷2.5 , can y'all please help me with this one and I'm Soo close to getting an 100
Answers
Answer:
15
Step-by-step explanation:
37.5÷2.5 goes in 15 times
Answer:
37.5 ÷ 2.5 = 15
Find the measure of each side indicated round to the nearest 10th
Answers
Answer:
20) 30°; 21) 21,1; 22) 6,2
Step-by-step explanation:
For the first image, you have to do csc⁻¹ 2 [OR sin⁻¹ ½] because you are solving for an angle measure. When evaluated, you get 30°.
For the second image, you have to do 13sec 52° = x [OR 13\cos 52° = x]. When evaluated, you get an approximate measure of 21,1.
For the third image, you have to do 6csc 75° = x [OR 6\sin 75° = x]. When evaluated, you get an approximate measure of 6,2.
Extended information on Trigonometric Ratios
O\H = sin θ
A\H = cos θ
O\A = tan θ
H\A = sec θ
H\O = csc θ
A\O = cot θ
I am joyous to assist you anytime.
Solve this (they are all fractions)
6/11=n+7/9
What does r equal
Answers
Answer:
[tex]\large\boxed{n=\dfrac{-23}{11}=-2\dfrac{1}{11}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6}{11}=\dfrac{n+7}{9}\qquad\text{cross multiply}\\\\11(n+7)=(6)(9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(11)(n)+(11)(7)=54\\\\11n+77=54\qquad\text{subtract 77 from both sides}\\\\11n=-23\qquad\text{divide both sides by 11}\\\\n=\dfrac{-23}{11}[/tex]
Today is Arif’s 12th birthday and his father’s 40th birthday. How many years from today will Arif’s father be twice as old as Arif at that time?
Answers
father's age = 40
let after 'x' years father's age will be twice that of arifs age at that time
therefore
arifs age after x years = 12 + x
father's age after x years = 40 + x
after x years father will twice as old as arif at that time => (12 + x) * 2 = 40 + x
x = 40 -24 = 16
which number should be added to the expression x^2-8x to change it into a perfect square trinomial?
a. -16
b. -4
c. 4
d. 16
Answers
The perfect square [tex](x-a)^2[/tex] can be expanded as follows:
[tex](x-a)^2=x^2-2ax+a^2[/tex]
So, we have to think of the term [tex]-8x[/tex] as [tex]-2ax[/tex], which implies [tex]a=4[/tex].
Thus, we have to add [tex]a^2[/tex], i.e. 16, to complete the perfect square:
[tex](x-4)^2 = x^2-8x+16[/tex]
Please HELP me I need it :)
Answers
You can just plug in the different answers for x and see which one equals zero.
F(1) = 1 + 4 + 1 - 6 = 0
Answer:
C
Step-by-step explanation:
Note that if x = h is a root of a polynomial f(x) then f(h) = 0
Note the sum of the coefficients of the given polynomial
x³ + 4x² + x - 6 is
1 + 4 + 1 - 6 = 0
Hence x = 1 is a root( zero) and (x - 1) is a factor
13. Pizza Perfection sold 93 pizzas on Monday, 67 pizzas on Tuesday, 78 pizzas on Wednesday, 44 pizzas on Thursday, and 123 pizzas on Friday. On average, how many pizzas did they sell per day?
A. 83
B. 63
C. 81
D. 82
Answers
Add all of the number of pizzas together
93+67+78+44+123
160+245
405
Divide by 5 because there are 5 numbers
405/5=81
81 pizzas
Answer: 81 pizzas -C.
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answers
Answer:
The answer is Region C
Step-by-step explanation:
Region C has total population of Zebra as 16,400 divided by the area occupied in square km which is 625. This gives population density of approximately 26 zebras/km square
[tex] \frac{16400}{625} = 26.24[/tex]
If you follow the same procedure for other regions, you will discover that region C has the highest number of Zebras/square km which is 26.
I hope this helped?
The region that would have the greatest competition for resources is Region C.
What is population density?
Population density is the amount of organisms that live in a square feet of an area.
Population density = population / area
Population density in Region A = 1312 / 212 = 6.19Population density in Region B = 630 / 314 = 2Population density in Region C = 16400 / 625 = 26.24Population density in Region D = 17800 / 902 = 19.7To learn more about population density, please check:
https://brainly.com/question/3704320
is 0.777777 a repeating decimal ?
Answers
Answer: no
Step-by-step explanation:
Can someone help me with this don’t mind the 11 it’s not apart of the problem
Answers
let's firstly convert the mixed fractions to improper fractions and then add.
[tex]\bf \stackrel{mixed}{2\frac{7}{10}}\implies \cfrac{2\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{27}{10}}~\hfill \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{10}+\cfrac{17}{2}\implies \stackrel{\textit{using an LCD of 10}}{\cfrac{(1)27+(5)17}{10}}\implies \cfrac{27+85}{10}\implies \cfrac{112}{10}\implies \cfrac{56}{5}\implies 11\frac{1}{5}[/tex]
A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an
order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing
tape, which graph represents how many of each order could be put in a bag hanging from the hook?
Answers
Answer:
the first graph: line passing through the points (3, 0) and (0,2), and the shaded region is below the line.Explanation:
1) Find the expression that represents the situation.
The expression that represents the situation is an inequality:
Number of orders of paper clips: xWeight of an order of paper clips: 2 lbsTotal weight of x orders of paper clips: 2xNumber of orders of packing tape: yWeight of an order of packing tape: 3 lbsTotal weight of y orders of packing tape: 3yTotal weight of paper clips and packing tape in a bag: 2x + 3yMaximum weight hold by the hook: 6 lbsHence, the total weight must be less than or equal to (≤) 6 lbs, which is:
2x + 3y ≤ 62) Graph of the inequality 2x + 3y ≤ 6
Line:
Border line: 2x + 3y = 6x-intercept: y = 0 ⇒ 2x = 6 ⇒ x = 6 /2 ⇒ x = 3 ⇒ point (3,0)y-intercept: x = 0 ⇒ 3y = 6 ⇒ y = 6 /3 ⇒ y = 2 ⇒ point (0,2)Shaded region:
Symbol ≤ means that the line is included, which is represented with a solid line, and the region is below the line.
Conclusion: the graph is the line passing through the points (3, 0) and (0,2), and the shaded region is below the line, so that is the first graph of the picture.
Note: strictly speaking, you should include the restrictions that the variables x and y cannot be negative, with which the graph would be only on the first quadrant but those constrains are not handled in the problem.
The graph is also attached.
Answer:
Answer is A
Step-by-step explanation:
210 donuts can be made in 10 hours how many can be made in 3 hours
Answers
Answer:
63 donuts
Step-by-step explanation:
210 donuts -> 10 hours
x donuts -> 3 hours
This is already setup for a proportion:
[tex]\frac{210}{x}=\frac{10}{3}[/tex]
Cross multiply:
[tex]3(210)=10x[/tex]
Simplify:
[tex]630=10x[/tex]
Divide both sides by 10:
[tex]\frac{630}{10}=x[/tex]
Simplify:
[tex]63=x[/tex]
63 donuts can be made in hours.
The division is one of the four fundamental arithmetic operations. The number of donuts that can be made in 3 hours time period is 63 donuts.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that 210 donuts can be made in 10 hours. Therefore, the number of donuts that can be made per hour are:
Number of donuts per hour = 210 donuts / 10 hour
= 21 donuts / hour
Now, the number of donuts that can be made in 3 hours are,
Number of donuts = 21 donuts / hour × 3 donuts
= 63 donuts
Hence, the number of donuts that can be made in 3 hours time period is 63 donuts.
Learn more about Division:
https://brainly.com/question/369266
#SPJ2
please help!!!
The number of Indian, Malay, and Chinese pupils in a school is in the ratio of 1 : 3 : 6. If there are 360 more Malay pupils than Indian pupils, how many Chinese pupils are in the school?
Answers
Answer:
1080
Step-by-step explanation:
looking at the ratio of 1 : 3 : 6, we can say that the pupils are divided into 1 + 3 + 6 = 10 "parts".
Indian are 1 part, Malay are 3 parts, and Chinese are 6 parts.
So 3x (3 parts of malay) is 360 more than 1x (1 part of Indian). Thus:
3x - 360 = x
2x = 360
x = 180
We know chinese is 6 parts, or 6x, so Chinese would be 6 (180) = 1080
Hence, there are 1080 chinese pupils