Answer:
33361022.5
Step-by-step explanation:
help please this is due in 20 minutes!
Step-by-step explanation:
sum of three no =94
first no =X
second no x-8
third no =4(x-8)
X+(x-8)+4x-32=94
6x-40=94
6x=94-40
6x=54
X=54/6
X=9
Answer: The first number is 9, the second number is 17, and the third number is 68.
Step-by-step explanation:
Using the given information we will represent the first number by f , the second number by s, and the third number by t.
The first number is 8 less than the second and we will represent that by the equation, f= s-8
The third number is 4 times the second and it will be represented by the expression, t= 4s
We know the sum of the numbers has to equal 94 so we will add them.
The first number is s-8, the second is s, and the third is 4s.
(s - 8) + (s) + 4(s) = 94 Solve for s to find the second number.
6s - 8 = 94
+8 +8
6s = 102
s = 17
The second number is 17 and we will input 17 in for s to solve for the first and third numbers.
f= 17 - 8
f= 9
The first number is 11.
t= 4(17)
t = 68
The third number is 68.
Check: Now add them to see if they equal to 94.
9+ 17 + 68 = 94
94 = 94
5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.
No clown answers or you'll get reported please help me I have until 3:00 am desperate please solve
Answer:
None of these points form a right triangle.
Step-by-step explanation:
IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.
5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.
The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)
Hope this helps, if you have any questions please feel free to ask! :)
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
Number of oranges is (2a + 2)
Half the number of oranges is 1/2(2a + 2)
Half the number of apples is 1/2a
The difference between half the number of oranges and half the number of apples equals 4 looks like this:
1/2(2a + 2) - 1/2a = 4
Now solve.
1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)
1a + 1 - 1/2a = 4
1a + 1 -1 - 1/2a = 4 - 1
1a - 1/2a = 3
1/2a = 3
1/2a ÷ 1/2 = 3 ÷ 1/2
a = 6
He has 6 apples.
Substitute 6 into the equation for the number of oranges.
2a + 2
2(6) + 2 = 14
He has 14 oranges.
Check your work.
The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.
Therefore, the equation has one solution.
Answer:
it is one solutionStep-by-step explanation:
What is the domain and range of the function?
Answer: input values for the function.
Step-by-step explanation:
2
1
3
4
The statement “Angle 2 is congruent
to angle 4" is justified by the
a
b
Alternate Interior Angles Theorem
Definition of Linear Pair
Vertical Angles Theorem
Definition Corresponding Angles.
The statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
A mathematical proposition or assertion that has been proven to be true is known as a theorem.
According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.
It is given that,
∠2=∠4
From the diagram, it is observed that two straight lines cross, and they create two sets of linear pairs with matching angles as a result of the Vertical Angles Theorem angle 2 is congruent to angle 4.
Thus, the statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
Learn more about the Theorem here:
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Carlos earns $7.50 per hour cutting grass on the weekends with his dad. Last Saturday, he worked 5 and 1 over 2 hours. On Sunday he worked 8.5 hours. How much money did Carlos earn last weekend?
Answer:
$105
Step-by-step explanation:
5.5+8.5=14
14 * 7.5=105
Which model is 85% Shaded
Answer:
cant tell
Step-by-step explanation:
need more explanation
Use the formula p=le^kt. A bacterial culture has an initial population of 500. If its population grows to 7000 in 2 hours, what will it be at the end of 4 hours
Answer:
98,000 bacteria.
Step-by-step explanation:
We are given the formula:
[tex]P=le^{kt}[/tex]
Where l is the initial population, k is the rate of growth, and t is the time ( in hours).
We know that it has an initial population of 500. So, l is 500.
We also know that the population grows to 7000 after 2 hours.
And we want to find the population after 4 hours.
First, since we know that the population grows to 7000 after 2 hours, let's substitute 2 for t and 7000 for P. Let's also substitute 500 for l. This yields:
[tex]7000=500e^{2k}[/tex]
Divide both sides by 500:
[tex]e^{2k}=14[/tex]
We can solve for the rate k here, but this is not necessary. In fact, when can find our solution with just this.
Let's go back to our original equation. We want to find the population after 4 hours. So, substitute 4 for t:
[tex]P=500e^{4k}[/tex]
We want to find the total population, P. Notice that we can rewrite our exponent as:
[tex]P=500(e^{2k})^2[/tex]
This is the exact same thing we acquired earlier. So, we know that the expression within the parentheses is 14. Substitute:
[tex]P=500(14)^2[/tex]
Square and multiply:
[tex]P=500(196)=98000[/tex]
So, after 4 hours, there will be 98,000 bacteria.
And we're done!
find the distance between (5,2) and (−1,9)
Answer:
[tex]d=9.21954[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]
[tex]d=\sqrt{36+49}[/tex]
[tex]d=\sqrt{85}[/tex]
[tex]d=9.21954[/tex]
Help help help help help!!!!!
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
HELPP!!
if f(x)= 5x - 12 what is f(-4)
Answer:
-32
Step-by-step explanation
f(-4)= 5(-4) - 12
f(-4)= -20 -12
f(-4)= -32
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following? (Round your answers to three decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
(a) no one has done a one-time fling
(b) at least one person has done an one time fling
(c) no more than two people have done a one time fling
Answer:
..
Step-by-step explanation:
Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm
The sales in thousands of dollars that Terrific Toys makes during one month can be approximated by the functions S(x)=2x³-2x²+4x, where x represents the number of days after the first day of the month. About how many days will it take the store to make $50,000?
Answer:
The days will it take the store to make $50,000 in a whole number are:
30 days.Step-by-step explanation:
Remember that x represents the number of days, so, you must replace different values in the formula until you obtain a value of $50,000, in this form:
S(x)= 2x³-2x²+4xS(1)= 2*1³-2*1²+4*1S(1)= 4 ($4).So, I'll show you that the value that you need is 30 in a whole number.
S(30)= 2*30³-2*30²+4*30S(30)= 52,320 ($52,320)I know that the value exceeds the amount of $50,000, but if you use just a day before:
S(29)= 2*29³-2*29²+4*29S(29)= 47,212 ($47,212)How you can see, if you use 29 days, the value doesn't reach $50,000, by this reason, you must use 30 days to reach it.
what is the total of 87,326;17 and 60
Answer: 490
Step-by-step explanation: 87+17+60+326 = 490
Factor the expression 1/4x + 11/4
Answer:
1 /4 ( x+11 )
Step-by-step explanation:
Factor 1 /4 out of each term.
tan theta equals 8 / 15 find sine theta + cos theta / cos theta (1 - cos theta)
I guess you have to find
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]
given that [tex]\tan\theta=\frac8{15}[/tex].
We can immediately solve for [tex]\sec\theta[/tex]:
[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]
(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)
Then we get [tex]\cos\theta[/tex] for free:
[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]
and we can now solve for [tex]\sin\theta[/tex]:
[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]
Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.
• If both are positive, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]
• If both are negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]
• If sin is positive and cos is negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]
• If cos is positive and sin is negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]
Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?
Answer:
Price of one pretzel = $1.5
Step-by-step explanation:
Let the price of a hot dog = [tex]x[/tex]
Let the price of a drink = [tex]y[/tex]
Let the price of a pretzel = [tex]z[/tex]
As per the given question statement:
[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]
To find:
The price of one pretzel, i.e. [tex]z=?[/tex]
Multiplying (3) with 2 and subtracting (1) from it:
[tex]x+5z=11[/tex] ..... (4)
Multiplying (3) with 4 and subtracting (2) from it:
[tex]4x+10z=29[/tex] ..... (5)
Multiplying (4) with 4 and subtracting (5) from it:
[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]
The price of one pretzel is $1.50.
Calculation of the price:Let the price of a hot dog = x
Let the price of a drink = y
Let the price of a pretzel = z
So,
The equations are
3x + 2y + z = $16.50 .....(1)
4x + 4y + 2z = $26..........(2)
2x + y + 3z = $13.75........(3)
Now
Here we Multiplying (3) with 2 and subtracting (1) from it:
So, it gives x + 5z = 11 ......(4)
Now
Multiplying (3) with 4 and subtracting (2) from it:
So, 4x + 10z = 29...(5)
Now
Multiplying (4) with 4 and subtracting (5) from it:
So, 10z = 15
x = 1.5
Therefore, The price of one pretzel is $1.50.
Learn more about price here: https://brainly.com/question/20763817
Which property of addition is shown in the equation below?
a + bi + 0 + Oi = a + bi
A.commutative property
B.inverse property
C.identity property
D.associative property
Answer:
This is the identity property. It means that any number added by zero would be the same number. In the second expression the zeroes were taken away.
Step-by-step explanation:
like and 5 start luv u
I WILL GIVE BRAINLIEST TO WHOEVER HELPS ME!!
Answer:
it changes by -4 pounds each month
Step-by-step explanation:
20 pounds in 5 months
20/5 is 4 pounds per month
the elephant loses 4 pounds a month
Confused PLEZZZZZ HELLLPPPP
Answer:B
Step-by-step explanation:
Answer:
believe it is the last one because the room is decreasing at 4 per minute so it would be -4x. Then the room is a 300 capacity so you would minus the -4x from the 300 leaving the formula as p(x)=300-4x
HElP!! Plzz thanks you
Answer:
a) 20
b) ab
Step-by-step explanation:
[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]
[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]
What’s the domain of (2x-9)/(3-x)
Answer:
The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}
(3x+2)/5 =31 PLEASE HELP FAST
Answer:
x = 51
Step-by-step explanation:
3 x 51 = 153, 153 + 2 = 155, 155 / 5 = 31
Answer:
x=51
Step-by-step explanation:
3x+2=155
3x+2-2=155-2
3x=153
3x/3 = 153/3
x=51
what is the nineteenth term in the sequence 7, 10, 13, 16,...? A 64 B 61 C 57 D 19
Answer:
B. 61
Step-by-step explanation:
7, 10, 13, 16...
ok so were starting with 7 and adding 3 every time
im going to do 3 times 19 like as if we started with 3 then im going to add 4
3 x 19 = 57
57 + 4 = 61
the 19th term is 61
Answer:
B: 61
Step-by-step explanation:
Hope this helps :)
what is the opposite of 1/2
Answer:
The opposite of 1/2 is -2/1, which can also be written as -2.
Simplify the fraction -24/6 then add -2
Answer:
-6
Step-by-step explanation:
-24 divided by 6 is -4, so the fraction would be simplified to -4/1, then change to a whole number and subtract 2, which equals -6.
2 ton of rocks cost $2,920.00. What is the price per pound?
Answer:
$0.73 per pound
Step-by-step explanation:
2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73
Please help with the answer Y=Mx+b
Answer: y=x+5
Step-by-step explanation:
So the dots are going at a slope of 1 up and 1 right each time, so your slope would be 1, or simply x if you times it. To line it up with the slope, you have to move up 5 on your y-axis, known as your b. Then from there, you go up 1 over 1 which will line up with all the dots.
A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?
Answer:
Allocation: 4 samples should be from the mountain and 16 from along the coast.
Step-by-step explanation:
Neyman allocation is technique of sample allocation used in cases of stratified sampling.
The formula to compute the best sample size of each stratum is:
[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]
The information provided is:
[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]
Compute the range for the number of people at the mountain campsite as follows:
[tex]R_{m}=6-1=5[/tex]
Then the standard deviation for the number of people at the mountain campsite will be:
[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]
Compute the range for the number of people along the coast campsite as follows:
[tex]R_{c}=10-1=9[/tex]
Then the standard deviation for the number of people along the coast campsite will be:
[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]
Compute the sample size for the mountain campsite as follows:
[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]
[tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]
Compute the sample size for along the coast campsite as follows:
[tex]n_{c}=n-n_{m}=20-4=16[/tex]
Thus, 4 samples should be from the mountain and 16 from along the coast.
