Answer:
3.024 is greater.
Step-by-step explanation:
3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.
If P = 5(a + 8), what is a in terms of P?
Answer: (P-40)/5 = a
Step-by-step explanation:
P = 5(a+8)
P = 5a + 40
P - 40 = 5a
(P-40)/5 = a
A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales.
a. Identify the Slope m _________
b. Identify the initial value b ________________
c. Write an equation that gives the weekly income y in terms of sales x ______________.
d. What is his weekly income if the sales were $600.00?
Answer:
a. The slope m is 0.02
b. The initial value b is 250
c. y = 0.02x + 250
d. His weekly income is $262 if the sales were $600.00
Step-by-step explanation:
the form of the linear equation is y = m x + b, where
m is the slope (rate of change)b is the y-intercept (constant amount)∵ A real estate sales agent receives a salary of $250 per week
→ This is a fixed amount every week
∴ b = 250
∵ They give a commission of 2% of sales
→ This value depends on the sales (rate of change)
∵ 2% = 2 ÷ 100 = 0.02
∴ m = 0.02
a. The slope m is 0.02
b. The initial value b is 250
∵ y represents the weekly income
∵ x represents the sales
∵ m = 0.02 and b = 250
∴ The equation is y = 0.02x + 250
c. y = 0.02x + 250
∵ The sales were $600.00
∴ x = 600
→ Substitute it in the equation to find y
∵ y = 0.02(600) + 250
∴ y = 12 + 250
∴ y = 262
d. His weekly income is $262 if the sales were $600.00
help me please look at the file
Answer:
350 will be your answer :)
Step-by-step explanation:
so i did 70 divided by 2 because 140 divided by 70 = 2
and 70 divded by 2 IS 35!
But wait that isn't what it's asking for right?
then i did 35 TIMES 10 cuz that's what it;s asking for
i got 350 and so should you so in conclusion 350 is your answer
Hopefully this helped!
Answer:
They will drive 350mi in 10hrs.
Step-by-step explanation:
If they go 70 miles in 2hrs then that means they go 35mi in 1hr. So multiply 35 by 10 and you get 350mi.
Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The company makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?
A 10x — 15000 ≥ 50000
B 10x — 15000 > 50000
C 10x + 50000 > 15000
D 10x + 50000 ≥ 15000
Answer:
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Step-by-step explanation:
Given that the total cost of manufacturing by the company is $15000.
Let x be the number of gallons the company sells.
It is also mentioned that the company earns $10 on each gallon.
So the total profit will be the the difference of the selling cost of gallons and manufacturing cost
Mathematically,
[tex]10x-15000[/tex]
Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so
[tex]10x-15000 \geq 50000[/tex]
The number of gallons can be found by solving the obtained inequality.
Hence,
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Vector Calculus
A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.
It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.
σ(t) = {t ², sin(t ), cos(t )}
σ'(t) = {2t, cos(t ), -sin(t )}
σ''(t) = {2, -sin(t ), -cos(t )}
When t = 0, the acceleration on the particle is
σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}
Then the force acting on the particle at time t = 0 is
F = {2m, 0, -m}
by Newton's second law.
Priya has 50 identical parcels. Each parcel has a mass of 17 kg, correct to the nearest kilogram. Find the upper bound for the total mass of the 50 parcels.
Answer:
The upper bound for the total mass of the 50 parcels is 850 kilograms.
Step-by-step explanation:
From statement we infer that upper bound is represented by the 50 identical parcels completely full. Then, the upper bound is the product of number parcels and maximum capacity of each parcel:
[tex]m_{UP} = (50\,parcel)\cdot \left(17\,\frac{kg}{parcel} \right)[/tex]
[tex]m_{UP} = 850\,kg[/tex]
The upper bound for the total mass of the 50 parcels is 850 kilograms.
3 equivalent ratios for 1/10
Answer:
So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.
Step-by-step explanation:
Answer:
1. 2:20
2. 3:30
3. 4:40
Step-by-step explanation:
1/10 can be written as a ratio like so - 1:10
Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.
We can multiply both numbers by 2 to get - 2:20
Or we can multiply both numbers by 3 to get - 3:30
And, we can also multiply both numbers by 4 to get - 4:40
These are 3 possibilities of many possibilities
Hope this Helps!!! :)
Let me know if this answer was perfect or if I should change it in the comments!!!
Natalie and phil are running for 6th grade class president. Natalie receives 16 votes, and phil receives 12 votes.
Answer:
Natalie win as the 6th grade class president
Step-by-step explanation:she win by 4 points after Phil and Natalie has 16 votes and Phil has 12 votes
What is the Ratio of 472 and 482?
What is an equivalent to -16m^2n-(-25m^2n)+(-7m^2n)
Answer:
The equivalent expression is:
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n[/tex]
Step-by-step explanation:
Given the expression
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a[/tex]
[tex]=-16m^2n+25m^2n-7m^2n[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-16m^2n+25m^2n-7m^2n=2m^2n[/tex]
[tex]=2m^2n[/tex]
Therefore, the equivalent expression is:
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n[/tex]
solve the following: 2x=9
Answer:
x=4.5
Step-by-step explanation:
divided both sides by 2, your equation is now x=4.5
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer or acceptance in a graduate degree program in their major area of study. In a sample of 227 recent graduates this was true of 209 of them. The probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is about:________
a. 0.015
b. 0.001
c. 0.131
d, 0.084
Answer:
The probability is [tex]P( p < 0.9207) = 0.0012556[/tex]
Step-by-step explanation:
From the question we are told
The population proportion is [tex]p = 0.96[/tex]
The sample size is [tex]n = 227[/tex]
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
[tex]\mu_x = p = 0.96[/tex]
Generally the standard deviation of this sampling distribution is
[tex]\sigma = \sqrt{\frac{p (1 - p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }[/tex]
=> [tex]\sigma = 0.0130[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{209}{227}[/tex]
=> [tex]\^ p = 0.9207[/tex]
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
[tex]P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )[/tex]
[tex]\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
[tex]P( p < 0.9207) = P(Z< -3.022 )[/tex]
From the z table the area under the normal curve to the left corresponding to -3.022 is
[tex]P(Z< -3.022 ) = 0.0012556[/tex]
=> [tex]P( p < 0.9207) = 0.0012556[/tex]
The sides of the square shown below have a length of
2v3
. What would be the length of a diagonal across the square?
Answer:2[tex]\sqrt{6}[/tex]because it is a 45 45 90
Step-by-step explanation:
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm? 5/4 4/9 5/9 or 4/5
Answer:
5/4
Step-by-step explanation:
At McNeely farm there are 75 sheep and 60 cow
Therefore the number of ratio of cow to sheep can be calculated as follows
= 75/60
=5/4
Answer:
4/5
Step-by-step explanation:
One number is 34 more than another. Their product is −289. Step 1 of 2 : Set up an equation to solve the given word problem.
Answer:
-289=(34+x) * x
-46 − 8x > 22.
A. x -8.5 D. x > 8.5
Answer:
x < -8.5
Step-by-step explanation:
-46 - 8x > 22
-8x > 68 -- when you divide by a negative number in an inequality, you flip the inequality sign
Therefore, x < -8.5
the acceleration of an object dye to gravity depends on the objects initial velocity true or false
Answer:
I- true.................
Please hurry it’s urgent thank you
Mr. Bobo has 5 1/3 lbs of gummy bears. He will put an equal amount of gummy bears into 4 bags. How much gummy bear wil be in each baG?
Anwser:
5.3/4 = 1.3 (.3 repeating)
Step-by-step explanation:
5 1/3 = 5.3 (.3 is repeating)
then divided by 4
I'm using system of equations and I have to use either substitution or elimination. My two equations are
2x - 6y = 13
8x - 24y = 8
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
Answer:
18 degrees Fahrenheit
Step-by-step explanation:
which strategy demonstrates the correct use of properties of operations to evaluate 5×( -7÷ 1/8)
the answer to the equation is -280
if a/3 = b/2, what are the following ratio's? b:a
Answer:
2:3
Step-by-step explanation:
a/3 = b/2
a/b=3/2
b/a=2/3
b:a=2:3
2:3 is a ratio of b:a
Martin and Sue are collecting clothes for a clothing drive. Sue collected 1/5 as many clothes as Martin did. If Martin collected 2 1/2 bags of clothes, how many bags of clothes did Sue collect?
Answer:
Sue collected 1/2 bags of clothes.
Step-by-step explanation:
Fractions
Let's solve the problem from end to beginning.
Martin collected 2 1/2 bags of clothes for a clothing drive. This mixed fraction can be expressed as:
[tex]2\frac{1}{2}= 2+\frac{1}{2}=\frac{5}{2}[/tex]
Sue collected 1/5 as many clothes as Martin did. This means she collected:
[tex]\frac{1}{5}\cdot \frac{5}{2}[/tex]
Multiplying:
[tex]\frac{1}{5}\cdot \frac{5}{2}=\frac{1}{2}[/tex]
Sue collected 1/2 bags of clothes.
What is the equation for slope -2,point (-1,4) in y=Mx+b form
Answer:
y=-2×+2
Step-by-step explanation:
Hope this helped you out and sorry if it is wrong!
Which expressions have a value of 60 when h=3? Choose two correct answers.
Group of answer choices
1....(h+1)^3 - 4
2.....(4h)^2 + 36
3....4h^2+ 24
Answer:
(1) & (3)
Step-by-step explanation:
Given
List of options
Required
Select which is equal to 60 when h = 3
To do this, we simply substitute 3 for h in all of the options.
1.
[tex](h + 1)^3 - 4[/tex]
[tex](3 + 1)^3 - 4[/tex]
[tex]4^3 - 4[/tex]
[tex]64 - 4[/tex]
[tex]60[/tex]
Hence:
[tex](h + 1)^3 - 4= 60[/tex]
2.
[tex](4h)^2 + 36[/tex]
[tex](4*3)^2 + 36[/tex]
[tex](12)^2 + 36[/tex]
[tex]144 + 36[/tex]
[tex]180[/tex]
Hence:
[tex](4h)^2 + 36=180[/tex]
3.
[tex]4h^2 + 24[/tex]
[tex]4*3^2 + 24[/tex]
[tex]4 * 9 + 24[/tex]
[tex]36 + 24[/tex]
[tex]60[/tex]
Hence:
[tex]4h^2 + 24 = 60[/tex]
If the mean of 50 scores is exactly 26,4, and the mean of 49 of those scores is exactly 26, is the 50 score ?
Answer:
The 50th score is 46.
Step-by-step explanation:
Given that
[tex]a_{50} = 26.4\\a_{49} = 26\\n_1 = 50\\n_2 = 49[/tex]
In order to find the 50th score we have to find sum of 49 values and 50 values and then subtract them.
Average is given by the formula:
[tex]Average = \frac{Sum}{Number\ of\ values}\\[/tex]
Using this formula, we can calculate sum for both averages
So,
[tex]a_{50} = \frac{s_{50}}{n_1}\\26.4 = \frac{s_{50}}{50}\\26.4*50 = s_{50}\\s_{50} = 1320[/tex]
And
[tex]a_{49} = \frac{s_{49}}{n_2}\\26.4 = \frac{s_{49}}{49}\\26*49 = s_{49}\\s_{49} = 1274[/tex]
Now for the 50th score,
[tex]50th\ score = s_{50} - s_{49} = 1320-1274 = 46[/tex]
Hence,
The 50th score is 46.
Find the value of x and y.
Answer:
Triangle= 180 degrees
180 degrees-20 degrees=140
140/2=70
Step-by-step explanation:
Hope this helps! Consider Brainiest!
Martina drove 780 miles in 12 hours. At the same rate, how long would it take her to drive 455 miles?
Answer:
7 hours
Step-by-step explanation:
She is driving at 780/12 (65) mph. 455/65=7. She will take 7 hours
Is it a nonliner or a linear function
Answer:
linear, it can be solved for y
Answer:
A. Linear
Step-by-step explanation:
It's a straight line when you graph it etc. etc.