9514 1404 393
Answer:
30 ducks8 pigsStep-by-step explanation:
Let p represent the number of pigs. Then the number of ducks is 38-p and the number of legs is ...
4p +2(38 -p) = 92
2p = 16 . . . . . . . . . . . . collect terms, subtract 76
p = 8 . . . . . . 8 pigs in the field
38-p = 30 . . . number of ducks in the field
There are 30 ducks and 8 pigs in the field.
twenty seven out of forty dentists recommended a certain whitener for teeth. if 1080 dentists recommended the whitener in the survey, how many dentists were surveyed?
Answer:
1,600 dentists were surveyed in total.
Step-by-step explanation:
We can set up a proportion for this problem:
[tex]\frac{27}{40} = \frac{1080}{x}\\\\\\[/tex]
Now we can cross multiply:
[tex]27*x = 1080*40\\\\27x = 43,200\\\\27x/27 = 43,200/27\\\\x = 1,600[/tex]
1,600 dentists were surveyed in total.
Summary
Rita solved a linear equation in one variable and got How many solutions does it's equation have?
How do you know?
Answer:
i!^dkk
Step-by-step explanation:
more than
Answer:
4 or less
Step-by-step explanation:
because that's how many it has
A store received 620 containers of milk to be sold by March 1. Each container cost
the store $0.78 and sold for $1.56. The store signed a contract with the distributor in
which the distributor agreed to a $0.40 refund for every container not sold by March
1. If 430 containers were sold by March 1, how much profit did the store make?
9514 1404 393
Answer:
$263.20
Step-by-step explanation:
The number not sold was ...
620 -430 = 190
The cost for a container not sold was ...
$0.78 -0.40 = $0.38
__
The cost of containers sold was ...
$0.78 × 430 = $335.40
The cost of containers not sold was ...
$0.38 × 190 = $72.20
The total cost for the 620 containers of milk was ...
$335.40 +72.20 = $407.60
The total revenue from the 430 containers sold was ...
$1.56 × 430 = $670.80
Then the profit was ...
profit = revenue - cost
profit = $670.80 -407.60 = $263.20
_____
Additional comment
The calculation can be simplified to ...
$1.16 × (number sold) - $0.38 × (number bought)
Sarah can walk 3 miles in 1 hour at this pace how many miles will Sarah walk in 4 hours
Answer:
12 miles
Step-by-step explanation:
3 miles per 1 hour pace
3 × 4 = 12 miles
Answer:
x = 12 miles
Step-by-step explanation:
Sarah can walk 3 miles in 1 hour.
At this pace how many miles will Sarah walk in 4 hours?
Write and solve an equation of ratios:
3 mi 1 hr
--------- = --------
x 4 hr
Cross-multiplying yields x = 12 miles.
Sarah can walk 12 miles in 4 hours
the coeffient of variation, expressed as a percent, is used to describe the standard deviation relative to the mean. It allows us to compare variability of data sets with different measurement units and is calculated as coefficient of variation =100(s/x) Find the coefficient of variation for the following sample weights in pounds 130,127,186,105,197,153,172,150,116,125
The required coefficient of variation 23.44.
What is sample space?
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space.
Given that,
The coefficient of variation for the sample,
CV = 100(s/x),
Where s is the standard deviation and x is the mean,
According to the provided formula,
The mean weight is 143.5 pounds,
And the standard deviation is 33.65 pounds.
Thus, after entering those values:
CV = 100 * (33.65/143.5)
CV ≈ 23.44
Therefore, for the sample weights in pounds that is given, the coefficient of variation is roughly 23.44.
To learn more about sample space visit:
https://brainly.com/question/30206035
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1. Amber started a new job with an annual salary of P250 000 in year 2014. Ifshe receives P6 000
raise each year, how much will her annual salary be in 2015, 2016, 2018, 2020, and 2021?
. If there are 200 bacteria at the end of the first day, how many bacteria willthere be after 2 days,
after 4 days, after 5 days, after 6 days and after 7days if the bacteria triple in number every day?
Answer:
See belowStep-by-step explanation:
The first part solved only. The second part is incomplete.
Using the information we build the equation for salary calculation:
S(x) = (x - 2014)*6000 + 250000, where S is the annual salary at year x, provided x > 2014Use the equation and work out salary:
S(2015) = 1*6000 + 250000 = 256000S(2016) = 2*6000 + 250000 = 262000S(2018) = 4*6000 + 250000 = 274000S(2020) = 6*6000 + 250000 = 286000S(2021) = 7*6000 + 250000 = 292000which side lengths form a right triangle ?
Answer:
I would use Pythagorean theorem To find the lengths and just plug in numbers from the answer choices.
Step-by-step explanation:
Multiplying decimals again, help me!
Answer:
3.6 pounds of green apples
Step-by-step explanation:
Red: 1.5 lbs
Yellow: 0.75 lbs
Green: 1.6 x (1.5 + 0.75)
1.6 x (1.5 + 0.75) -----> parenthesis first
1.6 x 2.25 ---> now multiply
3.6 lbs
Answer:
3.6 pounds of green apples
Step-by-step explanation:
Red: 1.5 lbs
Yellow: 0.75 lbs
Green: 1.6 x (1.5 + 0.75)
1.6 x (1.5 + 0.75) -----> parenthesis first
1.6 x 2.25 ---> now multiply
3.6 lbs
Find the sum and difference of the following fractions, reduce answer to lowest term if necessary
1. 3/5 + 2/5 - 1/5 =___
2. 5/15 - 3/15 + 7/15=____
3. 5 - 1 2/3=____
4.3 4/5 + 1 1/4=___
5. From the sum of 9/20 and 5 4/20, subtract 2 11/10=____
Step-by-step explanation:
please mark me as brainlest
Answer
1. 0.8..
2. 0.6..
3. 2.66..
4. 9.55..
5. -17.95..
(2^2)^3/2
What is the product of power rule
Answer:
677
Step-by-step explanation:
Mr. and mrs. O'hara have twice as many boys as girls. They have two girls. How many children do they have?
Answer:
6 children
Step-by-step explanation:
If the O'hara's have 2 girl and we know that they have twice as many boys then the equation would look like this..
2 x 2 = boys
There are 4 boys
But they are asking total children which will include the girls,
4 + 2 = 6 children
Hope this helps :)
Hi everyone, God bless you all, I need help on this, Select each correct answer, thx.
Answer:
answer is the first one (all trapezoids are quadrilaterals)
Step-by-step explanation:
Need help on order of operations
Answer: p.e.m.d.a.s
Step-by-step explanation: parenthese, exponent, multiplication, division, addition, subtraction
Answer:
You can follow the P.E.M.D.A.S.
Step-by-step explanation:
If you need an explanation for this, the P.E.M.D.A.S are a way to remember the Order of Operations. We can explain this with a simple equation, such as:
4/2+(3*2)-2^2
To begin with, we need to start with the Parentheses. Three times two is equal to six, so now the equation looks like this:
4/2+6-2^2
After that, you need to move onto the Exponents. Two to the power of two (marked with the ^) is four, so we replace 2^2 with a 4.
4/2+6-4
Next, we do the Multiplication and the Division. Since there's no multiplication involved with this particular problem, we'll go right onto the division. 4/2 is equal to two, so you replace that with a simple 2.
2+6-4
Now, lastly you wrap up by doing the Addition and the Subtraction. 2+6-4 is equal to 8-4, and the answer is ultimately 4. A reminder is that you always need to go left to right no matter what or else your solution will most likely be wrong.
I hope this helps! Marking as Brainliest would be highly appreciated. Have a wonderful day. :)
Someone help me I will mark you brain
Answer:
x^2 + 8x - 308 = 0
Step-by-step explanation:
Find x. Make sure to round to the correct number of decimal places.
Answer:
Step-by-step explanation: the x is in the right
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Plz help! Plzzzzz Solve systems of Equations by substitution
y= 5x - 7
-3x - 2y = -12
Slove step by step
Answer:
(2,3)
Step-by-step explanation:
- Substitute the equation for y instead of the y variable.
-3x - 2(5x - 7) = -12
-3x - 10x + 14 = -12
-13x = -26
x = 2
- Now substitute the value of x into the other equation.
y = 5x - 7
y = 5(2) - 7
y = 10 - 7
y = 3
Answer:
x = 2 and y = 3
Step-by-step explanation:
y = 5x - 7
-3x - 2y = -12
Substitute y into the second equation:
-3x - 2(5x-7) = -12
Simplify:
-13x = -26
x = 2
Substitute x into the first equation:
y = 5(2) - 7
y = 10 - 7
y = 3
A student scores 74,87,68,63,76 on his last five exams. His teacher will drop the lowest grade to compute the student's average. What is the students average in the class ?
Answer: 76.25
Average is the sum of numbers divided by the number of numbers
74 + 87 + 68 + 76 = 305
305 / 4 = 76.25
Four hundred dollars is deposited into an account that compounds interest quarterly. After 10 quarters the account balance is $441.85. Determine the nominal interest paid on the account?
Answer:
Step-by-step explanation:
(41.85:400)*100%=....
Question below..................
Mary borrowed $4,500 to help
pay for college. If the bank
charges a 5.5% annual interest
rate, how much interest will
Mary pay after 4 1/2 years?
Answer:
1113.75
Step-by-step explanation:
The formula for simple interest is as follows: Simple interest = principal balance x interest rate x term of the loan
P=4500
i= 0.055
t=4.5
multiplying them together we get
1113.75
The reason that this is simple interest is because compound interest increases over time as an exponential
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. What is the constant of proportionality?
Answer:
Task 2:
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of
white paint.
a. How many cups of red paint should be added to 1 cup of white paint?
cups of white
paint
cups of red
paint
1
7
b. What is the constant of proportionality?
Hello for the millionth time again, need help on this badly, pls.
Eric will run at least 35 miles this week. So far, he has run 18 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
Answer:
18 + t ≥ 35
possibly 17 miles or more
Step-by-step explanation:
18 + t = 35 --> minus 18 on both sides
t = 17
18 + t ≥ 35
________
[tex] \: [/tex]
t = answer
Soo :
18 + t [tex]\geqslant[/tex] 35
[tex] \sf \: t \geqslant 35 - 18[/tex]
[tex] \sf \: t \geqslant 17[/tex]
.
t = {18, 19, 20,...}
What are all the possible rational roots of f(0) = 2x^4+ x^3+ 4?
Answer: the answer is 4, just 4
5.
Consider the complex number iv3.
5a
What is the real part?
What is the imaginary part?
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Beate your next step here
X+
(
b
Answer:
[tex] \sqrt{3} \: \: is \: real \: part[/tex]
[tex]i \: is -1 which is \: imaginary \: part[/tex]
Given f(x)=3x(to the second power)−5x−2.
What is the value of f(−23)?
1
8/3
3
10/3
Answer:
1700
Step-by-step explanation:
f(x)=(3x^2)-5x-2
f(-23)
f(-23)=3(-23)^2-5(-23)-2
=1700
7 inches high, 4 inches long, and 4 inches wide what is the area
A = 144 square inches
Step-by-step explanation:
surface area of rectangular prism :
A = 2(hℓ + ℓw + hw)
A = 2(7 · 4 + 4 · 4 + 7 · 4)
A = 2(28 + 16 + 28)
A = 2(72)
A = 144 square inches
what are the coefficient in the expression 8a+b+9
Answer:
8 is the coefficient
Step-by-step explanation:
The definition of coefficient is:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
2.
-7 < x < -4 x is an integer write down the possible values for x
The possible values are anything between -7 and -4 so this means it would be either -5 or -6
5 1/2x + 2/3x=37 what does x equal
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Convert mixed numbers to improper fractions: [tex]5\frac{1}{2} =\frac{11}{2}[/tex]
[Formula to convert mixed to improper: [tex]a\frac{b}{c} =\frac{a * c+b}{c}[/tex]]
--
[tex]\frac{11}{2} x+\frac{2}{3} x=37\\\\[/tex]
--
Find least common multiplier of 2, 3: 6
[Multiply by LCM = 6]
--
Simplify: [tex]37x=222[/tex]
Divide both sides by 37
--
Which is then simplified to 6