Answer:
Polly used 15 bags to fill this sack of rice.
Step-by-step explanation:
Each kilogram has 1000 grams.
Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
We solve this by rule of three, using proportions.
Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So
1 bag - 350g
x bags - 5000g
Applying cross multiplication
[tex]350x = 5000[/tex]
[tex]x = \frac{5000}{350}[/tex]
[tex]x = 14.3[/tex]
Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.
In AMNO, the measure of Z0=90°, OM = 1.7 feet, and NO = 6.7 feet. Find the measure of ZN to the nearest degree.
Answer:
14°
Step-by-step explanation:
deltamath
Suppose u and v are functions of x that are differentiable at x=0 and that u(0)= 7,u'(0)=-5,v(0)= -1, v'(0)= -4.
Find the values of the following derivatives at x=0.
This question is incomplete, the complete question is;
Suppose u and v are functions of x that are differentiable at x=0
and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
Find the values of the following derivatives at x = 0.
a) [tex]\frac{d}{dx}[/tex]( uv )
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
Answer:
a) [tex]\frac{d}{dx}[/tex]( uv ) = -23
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
Step-by-step explanation:
Given that;
{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
a)
[tex]\frac{d}{dx}[/tex]( uv )
we differentiate
[tex]\frac{d}{dx}[/tex]( uv ) = uv' + vu'
at x = (0), we substitute our values
[tex]\frac{d}{dx}[/tex]( uv ) = ( 7 × -4 ) + ( -1 × -5)
[tex]\frac{d}{dx}[/tex]( uv ) = -28 + 5
[tex]\frac{d}{dx}[/tex]( uv ) = -23
b)
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( vu' - uv' ) / v²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = (( 5 - ( -28 )) / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33 / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( uv' - vu' ) / u²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( (7 × -4) - (-1 × -4) ) / (7)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - ( 4 ) ) / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - 4 ) /49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32 / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
three consecutive odd integers are such that times the smallest is 9 more than twice the largest. Find the 3 numbers
Answer:
If we assume 'x' an odd number let's say 1, then the other two consecutive odd integers are 1+2 and 1+4,
So assume the three consecutive odd integers be x, x+2 and x+4.
It's obvious that x is the smallest and x+4 is the largest.
Therefore 3x=9+2(x+4)
Solving for x: we get x = 17.
Hence, the three consecutive odd no. are 17, 19, 21
I hope it's helpful!
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
Step-by-step explanation:
Subtract 6 from 27 and then divide 21 (27-6) by -7 to get -3
What is the magnitude and direction of with tail and head points M(-3, -2) and N(4, 0)?
Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
How to determine the magnitude and direction?We have:
M(-3, -2) and N(4, 0)
Calculate the magnitude using
[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]
This gives
[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]
Evaluate
MN = 7.28
The direction is calculated as:
[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]
This gives
[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]
[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]
Take the arc tan
[tex]\theta = 90 - 15.9\°[/tex]
Evaluate
[tex]\theta = 74.1\°[/tex]
Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
Read more about magnitude and direction at:
https://brainly.com/question/3184914
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From an inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Answer:
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Step-by-step explanation:
The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.
This means that [tex]N = 48, k = 12[/tex]
8 cars received.
This means that [tex]n = 8[/tex]
What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
This is
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]
[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]
[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lights. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground.
Label the diagram correctly and then calculate the height of the wall (if necessary, round your answer to 2 decimal places. SHOW ALL YOUR WORK. on label of drawing.
Answer:
18 feetStep-by-step explanation:
As per the diagram, the triangles on the left and right are similar.
The ratio of corresponding sides is equal:
27/9 = x/6x = 6*3x = 18The height of the wall is 18 feet
Answer:
[tex]\Huge\mathtt{\underline\pink {Answer}}[/tex]
[tex] \tt \frac{27}{9} = \frac{x}{6} [/tex]
[tex] \tt \: x = 6 \times 3 = 18[/tex]
So, height is 18 feet
A satellite flies 103880 miles in 18.55 hours. How long would it take to fly 35168 miles?
Answer:
6.28 hours
Step-by-step explanation:
103880/18.55 = 35168/x
103880x = 652366.4
x = 6.28
6.28 hours or 6 hours 28 minutes
Lines and care parallel
What is the measure of _22
m_2 = 31°
m_2 = 50°
m22 = 120
56
m_2 = 130
Answer:
the answer to your question is m22=120
help!!!
Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal. Then explain its meaning.
Answer:
[tex]\frac{3}{8}[/tex] Or 0.375
Step-by-step explanation:
From the picture attached,
A circle is divided into 8 sections.
Out of which 3 sections have been shaded.
So the ratio of the shaded sections to the total number of sections will be,
3 : 8
Therefore, fraction representing the ratio will be = [tex]\frac{3}{8}[/tex]
And the decimal form of the fraction will be = 0.375
If 36% of a number is 325, what is 15% of the number?
Answer:
135.4166
Step-by-step explanation:
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
Answer:
if I am not mistaken.. the median would be 9 and the the mean is also 9.
Step-by-step explanation:
first you order the numbers from least to greatest and the find with is the middle number to find the median.
6,7,8,8,8,9,10,12,13 (answer: 9)
To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.
1) 6+7+8+8+8+9+10+12+13= 81
2) 81 ÷ 9 =9
Answer:
Mean: 9, Median: 8 Mode: 8
Step-by-step explanation:
MEAN: The AVERAGE total of all the values divided by the numbers of values.
6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81 81/9 (set of #'s)= 9
MEDIAN: The number in the MIDDLE of the list of values.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, the middle value is 8
MODE: The number that appears the most.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, 8 appears 3 times.
Hope this helps!
Algebraic expression for each work phrase and then simplify The sum of four and x minus two
Help again last question
Answer:
5 cubes. 5 cubes. 4 cubes 5 cubes
Step-by-step explanation:
is easy and no hard
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
Jacqueline’s girl scout troop is selling cookies. This year the cost of getting 4 boxes is $18. This is 12.5% more than the price of 4 boxes last year.
What was the cost of 4 boxes last year?
What was the cost of EACH box last year?
Answer:
15.75
Step-by-step explanation:
en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender
Answer:
Que? No se.
Step-by-step explanation:
Answer:
805
Step-by-step explanation:
Daniel invests £2200 into his bank account.
He receives 5% per year simple interest.
How much will Daniel have after 2 years?
Answer:
I = $ 220.00
Step-by-step explanation:
I = $ 220.00
Equation:
I = Prt
Solve:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2200 × 0.05 × 2 = 220
I = $ 220.00
The simple interest accumulated
on a principal of $ 2,200.00
at a rate of 5% per year
for 2 years is $ 220.00.
I need help ASAP
Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie. Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.Part C If Julie makes 18 baskets, how many baskets does Kari make? How many baskets do they make in all? Kari makes_______baskets. Kari and Julie make_______baskets in all.
Answer: kari makes 33 and 51 all together
Step-by-step explanation:
Need help pls!!!!!!!!!!?
Answer:
2, 4, & 6 = 84 degrees
1, 3, 5 , & 7 = 96 degrees
Step-by-step explanation:
Buenos días cual es el residuo de 550÷6
Answer:
i cant read that but if you looking for the answer to 550 divided by 6 it is 96.6
Step-by-step explanation:
ILL MARK AS BRAINLEST
Two more than eleven times a number is equal to 24. What is the number?
Answer:
Step-by-step explanation:
Im not all the way sure, but I think it would be 1.8.
11+2 = 13
24/ 13 = 1.84...
rounded, 1.8
Answer:
The answer is 2.
Step-by-step explanation:
11 × 2 = 22
22 + 2 = 24
Therefore, 2 is the answer.
10 POINTS! PLZ ANSWER!
Where do planes ABC and BFG intersect?
See
In plane ABC or ABCD and plane BFGC or BFG. the common side is
line BCSo both the planes intersect at line BC
Option BThere are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?
Answer:
12
Step-by-step explanation:
let x be the number of men
4:7 = x:21
4/7 = x/21
7x = 84
x = 12
A tank that is 40% full contains 640 gallons of water. What it's full capacity?
Answer:
1,600
Step-by-step explanation:
mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest
Step-by-step explanation:
hope it helps u...........
Solve the system of equations.
5x - 4y = -10
- 4x + 5y = 8
y =
Answer:
x= -2
y= 0
Step-by-step explanation:
check answer
5(-2)-4(0)= -10
-10-0= -10 (TRUE)
-4(-2)+5(0)= 8
8+0= 8 (TRUE)
Answer: 5x−4y=−10;−4x+5y=8
Step-by-step explanation:
Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?
Answer:
! not sure if correct !
Step-by-step explanation:
54% of anna's workout was lifting weight
Answer:
45%
Step-by-step explanation:
21+45=66=1 hour 6 mins
2 hours=120 min
120-66=54
(54/120)x100=45 45%
6x + 7y = 3y - 3
Step 2 of 2: Find the equation of the line which passes through the point (-13, -8) and is perpendicular to the given line.
Express your answer in slope-intercept form. Simplify your answer.
Answer:
y = 2x/3 + 2/3
Step-by-step explanation:
1. Find the slope of the given line.
y = mx + b
6x + 7y = 3y -3
4y = -6x - 3
y = (-6x-3)/4 = -3x/2 - 3/4
The slope of y = -3/2
The slope of a line perpendicular to the line of 6x + 7y = 3y -3 would be the negative reciprocal of the slope so the slope of the line perpendicular would be -1/(-3/2) = 2/3
The equation would be:
y = 2x/3 + b
Since b is unknown, but a point is known, we plug in x and y values.
-8 = 2*(-13)/3 + b
Then solve for b:
b = 2/3
What is 5 divided by 5000
Answer:
.001 or 1000
Step-by-step explanation:
5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000
