Answer:
65 kgStep-by-step explanation:
Solution,
Weight of bag containing rice = 50 kg ( given)
Increased percent of bag = 30%
30% of 50
= 30/100 * 50
= 15 kg
now,
finding the new weight of bag:
= 50 kg + 15 kg
= 65 kg
Hope this helps..
Good luck on your assignment....
A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag contained 5kg of flour. 2040 small bags were packed. How many large bags of flour were packed?
Answer:
696 large bags of flour were packed.
Step-by-step explanation:
Let large bags of flour be 'y'
Let small bags of flour be 'x'. That is x=2040 (according to the question)
[tex](3 \times x) + (5 \times y) = 9600[/tex]
[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]
[tex](6120) + (5 \times x) = 9600[/tex]
[tex](5 \times x) = 9600 - 6120[/tex]
[tex](5 \times x) = 3480[/tex]
[tex]x = 3480 \div 5[/tex]
[tex]x = 696[/tex]
HOPE IT HELPS
#PEACE
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? ________had a head start of _________ meter
Answer:
ryan had a head start of 10 meters.
Step-by-step explanation:
Answer:
A) Ryan
B) 10
Step-by-step explanation:
Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both uequalsleft angle 2 comma 0 comma 2 right angle and wequalsleft angle negative 2 comma 1 comma 0 right angle where tequals0 corresponds to the given point.
Complete Question:
Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] where t = 0 corresponds to the first given point.
Answer:
Vector equation: (x, y, z) = (0, 0, 0) + t ( u x w)
Parametric equation:
x = -2t
y = -4t
z = 2t
Step-by-step explanation:
Since the line is perpendicular to [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] , we will find the cross product of u and w
[tex]u \times w = \left[\begin{array}{ccc}i&j&k\\2&0&2\\-2&1&0\end{array}\right] \\\\u \times w = i(0-2) -j(0+4) + k(2)\\\\u \times w = -2i - 4j + 2k\\\\u \times w = < -2, -4, 2>[/tex]
The equation of the line can be given by:
(x, y, z) = (0, 0, 0) + t ( u x w)
(x, y, z) = (0, 0, 0) + t < -2, -4, 2 >
x = -2t, y = -4t, z = 2t
The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex].
Determination of the vector equation and parametric equations of the lineVectorially speaking, the equation of the line is defined by the following formula:
[tex]\vec r = \vec O + t\cdot \vec l[/tex] (1)
Where:
[tex]\vec O[/tex] - Vector intercept[tex]t[/tex] - Parametric variable[tex]\vec l[/tex] - Line vectorSince [tex]\vec l[/tex] must be perpendicular both to [tex]\vec u[/tex] and [tex]\vec v[/tex], then we must apply cross product:
[tex]\vec l = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&0&2\\2&1&0\end{array}\right|[/tex]
[tex]\vec l = \langle -2, 4, 2\rangle[/tex] (2)
Then, we have the following equation of the line: ([tex]\vec O = \langle 0,0,0 \rangle[/tex], [tex]\vec l = \langle -2, 4, 2\rangle[/tex])
[tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] (3)
And the parametric equations are, respectively:
[tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex] (4)
The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex]. [tex]\blacksquare[/tex]
RemarksThe statement presents typing mistakes and is poorly formatted. Correct form is shown below:
Find both vector equation and the parametric equations of the line through (0, 0, 0) that is perpendicular to the following two vectors: [tex]\vec u = \langle 2, 0, 2 \rangle[/tex], [tex]\vec v = (2, 1, 0)[/tex].
To learn more on line equations, we kindly invite to check this verified question: https://brainly.com/question/2564656
Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
47.5
Step-by-step explanation:
just took the test
The measure of angle EFD is 47.5°
What is inscribed angle?An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.
Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,
So,
we know that the arc formed by the central angle is equal to is measure.
∴ arc ED = ∠ECD
∠ECD = 95°
Now,
According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.
therefore,
∠ECD/2 = ∠EFD
∠EFD = 95/2
∠EFD = 47.5°
Hence the measure of angle EFD is 47.5°
Learn more about inscribed angle click;
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Which is a true statement about the number 1?
Answer:
Step-by-step explanation:
It is neither prime nor composite since 1 divides everything.
Answer: One is a factor of every whole number since every number is divisible by itself.
Step-by-step explanation:
MSolve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
the answer is C
Step-by-step explanation:
it it can be calculated by using simple quadratic formula
A bag contains 5 red marbles, 2 blue marbles, and 3 green marbles what is the probability of drawing a green marble
Answer:
Hey there!
Total marbles= 5+2+3=10
Green marbles= 3
3/10=30%
Hope this helps :)
Classify the following triangle. Check all that apply.
Answer:
obtuse
Step-by-step explanation:
the angle is bigger than 90 degrees
Answer:
The answer is C) Obtuse and F) Isosceles
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
help me pleasseeeeeee
Answer:
no
Step-by-step explanation:
The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.
Angad, Caroline and Sarah share some sweets in the ratio 5:3:2. Angad gets 30 more sweets than Sarah. How many sweets are there altogether?
Answer:
120 sweets altogether
Emma is doing a science project. She is measuring the time it takes a snail to move 5 kilometres. It takes the snail one hour to move 1 20 of a kilometre. If the snail moves at the same pace, how long will it take the snail to move 5 kilometres?
Answer:
41.67hrs
Step-by-step explanation:
if the snail moves 0.12km in 1hr
the snail will move 5km in Xhrs
0.12 × X = 5 × 1
0.12X= 5
X= 5/0.12 = 41.67hrs
Answer:
41.76 hours
Step-by-step explanation:
I feel bad so i did the math. Good Luck! hope you get it right!
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
Am i Correct???????????????????????????????????????
Answer:
Pretty sure its cylinder.
Step-by-step explanation:
Answer:
I think u should probably use a cylinder because it's quite more of the spherical shape
Step-by-step explanation:
ABCD is a parallelogram. m∠x = ° m∠y = ° m∠z = °
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Step-by-step explanation:
plato
In a multipack of crisps there are 6 salt and vinegar, 9 ready salted and 6 cheese and onion. Write the ratio of salt & vinegar : ready salted : cheese and onion in its simplest form.
Answer:
salt & vinegar : ready salted : cheese and onion
2 3 2
Step-by-step explanation:
salt & vinegar : ready salted : cheese and onion
6 9 6
Divide each by 3
salt & vinegar : ready salted : cheese and onion
6 /3 9/3 6/3
2 3 2
Answer:
2:3:2
Step-by-step explanation:
Salt and Vinegar: 6
Ready Salted: 9
Cheese and Onion: 6
Put numbers in for the corresponding type:
Salt and Vinegar : Ready Salted : Cheese and Onion
6:9:6
All numbers share a common factor of 3.
Divide all the numbers by 3 to find simplest form.
2:3:2
Which part is which from the circle
The radius goes from the center to the edge of the circle.
The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle
The circumference is the distance around the circle. Think of it as the perimeter of the circle.
can someone please help?
Which number line represents the solutions to –2|x| = –6?
Answer:
D. the last one with dots on -3 and 3
Step-by-step explanation:
-2|x| = -6
divide each side by -2
|x| = 3
x = -3 or 3
From a rectangular metal sheet whose measure 30cm×20cm, a circular portion whose radius is 10.5cm is cut off .Find the area of remaining metal sheet .
Answer:
254 cm²
Step-by-step explanation:
Calculate first the total area
A = 30*20 = 600 cm²
Then calculate the area of the cercle
A= 10.5²*π = 346.36≈346 cm²
Then substract the area of the circle from the total one:
600-346= 254 cm²
Which of the following situations represent linear growth? Check all of the boxes that apply
Answer:
I can't see the answer choices, so I'll do my best to explain.
Step-by-step explanation:
Linear growth is growth where the growth is the same in each step. This means the line is straight, or linear. An example would be y = x or y = 6x +1. As long as there is no exponent on the variable or it is not in the bottom of a fraction, it should be linear.
Answer:
ACD
Step-by-step explanation:
What is the value of
the answer is 2. see attached for step-by-step instructions. hope that helps!
Write an equation, in standard form, for the line that passes through the points (-1, -4) and (1, 6).
Answer:
y = 7/2 x + 5/2Step-by-step explanation:
The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.
m = Δy/Δx = y₂-y₁/x₂-x₁
Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁ = -4 and y₂ = 6
m = 6-(-1)/1-(-1)
m = 7/2
To get c, we will substoute the slope and any of the point given into the equation of a line as shown;
Using tyhe point (1, 6) and m = 7/2
6 = 7/2(1)+c
6 = 7/2 + c
c = 6-7/2
c = 5/2
The equation of the line will be y = 7/2 x + 5/2
I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
Which expression is equivalent to -4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
Answer:
-65536
Step-by-step explanation:
-1*4^8
Answer:
-65536
Step-by-step explanation:
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8. What is the length of Line segment B C?
Answer:
A
Step-by-step explanation:
A
Answer:
an altitude
Step-by-step explanation:
its is correct
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0