Answer:
We are given that the ratio of shirts to jeans is 5 : 2
This means that for every 5 shirts, we have 2 jeans
it also means that the number of shirts / number of jeans = 5 / 2
Since we are given the number of shirts,
we can easily find the number of jeans
(15) / (number of jeans) = 5 / 2
Number of Jeans = (15) * (2 / 5)
Number of Jeans = 6
Answer:
6 jeansStep-by-step explanation:
ratio of shirt to jeans = 5:2
shirt = 15
jeans = ??
ratio and proportion:
5 shirt = 15 shirts
2 jeans x jeans
cross multiply:
15 (2) = 5 (x)
x = 30 / 5
x = 6 jeans
How much greater is the product of 98 * 50 than the product of 97 * 50
Answer:
With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.
Step-by-step explanation:With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.
Answer:
duno
Step-by-step explanation: duno
J is the midpoint of CT
С
J
T
If:
CJ = 5x – 3 and
JT = 2x + 21
Find CT.
Answer:
CT=37
Step-by-step explanation:
5x-3 = 2x+21
-2x
3x-3 = 21
+3
3x = 24
÷3
× = 8
5(8) - 3 = 37
2(8) +21 =37
On Monday, there were 827 people at the amusement park. On Tuesday, the weather was rainy and only 686 people were at the park. Write an expression to estimate the difference of the number of people at
the park on Monday and Tuesday by rounding each value to the nearest
hundred.
Answer:
let monday be a = 800 (nearest 100)
let tuesday be b = 700 (nearest 100)
a+b = 800 + 700 = 1500
a+b = 1500
Greg bought a suit for $150. Cleaning costs will be $30 each year. He plans on wearing the suit 12 times each year. What will the cost per wear be after two years?
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.2 feet. A sample of 53 men’s step lengths is taken.
Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Answer:
P[ X < 2,4 ] = 0,1587 or 15,87 %
Step-by-step explanation:
Normal Distribution N ( 2,6 , 0,2 )
mean = μ₀ = 2,6 ft and
standard dviation is
σ = 0,2 ft
Samle size 53 n = 53
2,4 - 2,6 = 0,2
That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation. The empircal rule establishes that the interval [ μ₀ ± σ] contans 68,3 % of all values, by symmetry
μ₀ - σ = 68,3/2
μ₀ - σ = 34,15
Then the half of the bell shape curve is 0,5 and from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between
0,5 - 0,3415 = 0,1585 or 15,85% is the probability
Other procedure is:
P[ X < 2,4 ] = [X - μ₀ ] / σ
P[ X < 2,4 ] = 2,4 - 2,6 / 0,2
P[ X < 2,4 ] = - 0,2/0,2
P[ X < 2,4 ] = - 1
And fom z - table we find for z (score) = - 1
P[ X < 2,4 ] = 0,1587
Answer:
0.0668
Step-by-step explanation:
z=x−μσ=2.3−2.60.2=−1.50
Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.
On New year's Eve the times square ball is lowers 47 ft every 20 seconds how long does it take for the ball to be lower 141 ft
Answer:
1 minute
Step-by-step explanation:
141/47=3. then 3*20=60 which is equal to one minute
are the opposites of -6.5 and the absolute value of -6.5 the same?
Answer:
Yes
Step-by-step explanation:
the opposite of -6.5 is 6.5.
The absolute value of |-6.5| is 6.5.
Hope this helps.
Are the triangles below acute obtuse or right (I have to make multiple questions because it won’t let me put them on)
Answer:
they're both acute im 100% sure
Step-by-step explanation:
An x-box cost $230 but is discounted 18%. What is the new cost of the x-box?
Answer:
41.4$
Step-by-step explanation:
10% of 230 is 23$
23/5=4.6
4.6$=2%
18.4$=8%
23+18.4$
41.4$
Answer:
41.4
Step-by-step explanation:
Hope this helped
please help as soon as you can
Answer:
FOR QUESTION 5
1. Angle 1 congruent to angle 4; given
2. Angle 1 supplementary to angle 2; assumed from diagram
3. Angle 4 supplementary to angle 3; assumed from diagram
4. Angle 2 congruent to angle 3; angles supplementary to congruent angles are congruent
5. Angle 3 congruent to angle 5; verticla angles are congruent
6. Angle 2 congruent to angle 5; substitution
FOR QUESTION 6
1. Angle 2 congruent to angle 3; given
2. Angle 2 congruent to angle 1; vertical angles are congruent
3. Angle 3 congruent to angle 4; vertical angles are congruent
4. Angle 1 congruent to angle four; substituiton (see statement #1)
Step-by-step explanation:
what is the solution to the equation 2/3a-1/6=1/3
Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}[/tex]
[tex]\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}[/tex]
(now you can multiply the whole equation by 6 to remove the fractions
4a - 1 = 2
4a = 2+1
4a = 3
a = [tex]\frac{3}{4}[/tex]
Answer:
a=3/4
Step-by-step explanation:
give three examples of turning force that we can see it our day to day life
Answer:
A person pushing a swing will make the swing rotate about its pivot.
A worker applies a force to a spanner to rotate a nut.
A person removes a bottle's cork by pushing down the bottle opener's lever.
A force is applied to a door knob and the door swings open about its hinge.
please helpppp
The length of a book (in pages) is a function of
the number of words in the book. This function
is written /(w). What is true about this function?
Circle the best answer.
Answer Choices:
(20,000) is the length of a book with 20,000
pages.
|(140) describes a book with 140 pages.
|(15,055) is the number of pages in a book with
15,055 words.
Answer:
|(15,055) is the number of pages in a book with
15,055 words.
Step-by-step explanation:
becuz the no of pages is a function to the words ..
Ann 's car can go 222 miles on 6 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
185
Step-by-step explanation:
222/6=37
5*37=185
Find the equation of the linear function represented by the table below in slope-
intercept form.
Х
o
1
2
3
4
у
-1
3
7
11
15
Answer:
1y157
Step-by-step explanation:
A number multiplied by 7 is less than 21. Which of the following expressions
correctly identifies this sentence? *
(N instead of X for variable)
N x 7 < 21
An object with mass of 1 kg, specific heat of 1000 J/kg°C, surface area of 0.01 m2, and initial temperature of 25°C is placed in a microwave oven with internal temperature of 25°C and heat transfer coefficient of 40 W/m2°C.If the microwave heat input into the object is 50 W,
a) Show that the differential equation that governs the temperature change forthis object is
dT/dt+0.0004T = 0.06
b) Solve this differential equation and find out what the temperature of this object is after 200 seconds heating inside the microwave.
Answer:
a) True. The differential equation is [tex]\frac{dT}{dt}+0.0004\cdot T = 0.06[/tex], where [tex]T[/tex] is measured in Celsius.
b) The temperature of the object after 200 second inside the microwave is approximately 34.611 ºC.
Step-by-step explanation:
a) The object is heated up by convection and radiation, from First Law of Thermodynamics we get that energy interactions on the object are represented by:
[tex]-\dot Q_{out} + \dot W_{in} = \frac{dU_{sys}}{dt}[/tex] (Eq. 1)
Where:
[tex]\dot Q_{in}[/tex] - Heat transfer rate to the object, measured in watts.
[tex]\dot W_{in}[/tex] - Electric power given by the microwave owen, measured in watts.
[tex]U_{sys}[/tex] - Internal energy of the object, measured in watts.
Then, we expand the expression by means of definition from Heat Transfer and Thermodynamics:
[tex]-h_{c}\cdot A_{s}\cdot (T-T_{\infty})+\dot W_{in} = m\cdot c\cdot \frac{dT}{dt}[/tex]
Where:
[tex]h_{c}[/tex] - Heat transfer coefficient, measured in watts per square meter-Celsius.
[tex]A_{s}[/tex] - Surface area of the object, measured in square meters.
[tex]T[/tex] - Temperature of the object, measured in Celsius.
[tex]T_{\infty}[/tex] - Internal temperature of the microwave oven, measured in Celsius.
[tex]m[/tex] - Mass of the object, measured in kilograms.
[tex]c[/tex] - Specific heat of the object, measured in joules per kilogram-Celsius.
After some algebraic handling, we get this non-homogeneous first order differential equation:
[tex]\frac{dT}{dt} = -\frac{h_{c}\cdot A_{s}}{m\cdot c} \cdot (T-T_{\infty}) + \frac{\dot W_{in}}{m\cdot c}[/tex]
[tex]\frac{dT}{dt}+\frac{h_{c}\cdot A_{s}}{m\cdot c}\cdot T =\frac{h_{c}\cdot A_{s}}{m\cdot c}\cdot T_{\infty}+\frac{\dot W_{in}}{m\cdot c}[/tex] (Ec. 2)
If we know that [tex]h_{c} = 40\,\frac{W}{m^{2}\cdot ^{\circ}C}[/tex], [tex]A_{s} = 0.01\,m^{2}[/tex], [tex]m = 1\,kg[/tex], [tex]c = 1000\,\frac{J}{kg\cdot ^{\circ}C}[/tex], [tex]T_{\infty} = 25\,^{\circ}C[/tex] and [tex]\dot W_{in} = 50\,W[/tex], the differential equation is:
[tex]\frac{dT}{dt}+0.0004\cdot T = 0.06[/tex]
b) The solution of this differential equation is:
[tex]T(t) = T_{o}\cdot e^{-0.0004\cdot t}+ \frac{0.06}{0.0004}\cdot (1-e^{-0.0004\cdot t})[/tex]
Where [tex]T_{o}[/tex] is the initial temperature of the object, measured in Celsius.
[tex]T(t) = T_{o}\cdot e^{-0.0004\cdot t}+150\cdot (1-e^{-0.0004\cdot t})[/tex]
[tex]T(t) = 150+(T_{o}-150)\cdot e^{-0.0004\cdot t}[/tex]
Where [tex]t[/tex] is the time, measured in seconds.
If we know that [tex]T_{o} = 25\,^{\circ}C[/tex], then:
[tex]T(t) = 150-125\cdot e^{-0.0004\cdot t}[/tex] (Ec. 3)
For [tex]t = 200\,s[/tex], we get that temperature of the object is:
[tex]T(200) = 150-125\cdot e^{-0.0004\times 200}[/tex]
[tex]T(200) \approx 34.611\,^{\circ}C[/tex]
The temperature of the object after 200 second inside the microwave is approximately 34.611 ºC.
divede decimals by a whole number in this question 2.6÷2
Answer:
Step-by-step explanation:
2.6 ÷ 2 = 1.3
5. Write a division number sentence
using 3,9,and 27
Answer:
27÷3 =9
Step-by-step explanation:
27 divided by 3 is 9
Answer: 3 * 9 = 27, 27 / 3= 9, 27/9 = 3
Step-by-step explanation:
3 being multiplied by 9 will give you 27.
27 divided by 9 will give you 3.
27 divide by 3 will give you 9.
NEED THESE ASAP I have no idea what this is
Answer:
1) variables
2)26
3)8x+2y+2
4)38
Can you help me solve this problem please? Solve 6n = 2n – 8.
Help (Math) Which of the following objects are needed to construct Parallel Lines? Select ALL that apply
Please help on these questions ASAP!
I will give brainliest
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
2/9
Step-by-step explanation:
Any fraction in the form 0.n repeated is in the form n/9
FOR 100 POINTS please answer asap and if you don't know plz don't answer. Thank you A scuba diver was exploring a reef 39.6 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min. distance = rate(time)
a) How is 39.6 m below sea level displayed as rational number? ( 3pts)
b) How long did it take the diver to reach the surface? (4pts)
Answer:
A)
[tex]-39.6[/tex]
B)
[tex]4.5\text{ minutes}[/tex]
Step-by-step explanation:
We know that the scuba diver is exploring a reef 39.6 meters below the sea level.
Remember that sea level is always 0 meters in elevation.
We also know that the diver ascended to the surface at a rate of 8.8 meters per minute.
Part A)
Since sea level is the 0th meter, anything below this will be negative.
So, since the diver is 39.6 meters below sea level, we can express this as:
[tex]-39.6[/tex]
Part B)
We know that the diver ascends at a rate of 8.8 meters per minute.
The diver is currently at 39.6 meters.
Remember that the surface is the sea level. So, we want to find after how many minutes m does the diver reach the 0th meter.
So, we can write the following equation and solve for m:
[tex]-39.6+8.8m=0[/tex]
The -39.6 represents the diver's current altitude.
The 8.8m represents the diver's rate of ascending 8.8 meters per minute m. Notice that 8.8m is positive because we're ascending.
And the 0 represents the 0th meter or sea level or the surface.
So, solve for m. Add 39.6 to both sides:
[tex]8.8m=39.6[/tex]
Divide both sides by 8.8. So:
[tex]m=4.5[/tex]
So, it will take the diver 4 and a half minutes to reach the surface.
And we're done!
$16.20 per hour for 40 hours and time and a half for 8 hours. What is the total pay?
Answer:
Add 16.20+ 40+8
Step-by-step explanation: 16+20+40+8= 84
Divide. Write the quotient in lowest term 4 4/5 ÷1 1/2
Answer:
3 1/5
Step-by-step explanation:
24/5 ÷ 3/2
24/5 x 2/3
48/15
16/5
3 1/5
Is 1.35 an irrational number? Why?
When r = 8 and s = 5, what is the value of r +2s
- 9?
Answer:
9
Step-by-step explanation:
If we substitute the variables for the numbers, the equation looks like this:
8+2(5)-9
Because 2s was multiplying 2 by s in the original equation, we can do that step first!
8+2(5)-9
8+10-9
Personally, I think it's a lot easier to subtract 9 from 10 first, but you can solve this part in any order.
8+10-9
8+1
This is the last part; we just have to add 8 and 1 now!
8+1=9
Hope this helps!!! Have a wonderful day C:
How many units from zero is -253?
Answer:
253 units
Step-by-step explanation:
-253 is 253 units behind 0.