Answer:
8n + 46
Step-by-step explanation:
Combine like terms. First, simplify the signs. two negatives directly next to each other equals one positive:
- (-5n) = + 5n
30 + 5n + 16 + 3n = (30 + 16) + (5n + 3n)
(30 + 16) = 46
(5n + 3n) = 8n
8n + 46 is your answer.
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability 2/5 of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability 3/8 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answer: 2/5 x 0= 0
Step-by-step explanation:
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent.
Step-by-step explanation:
This problem is related to binomial probability
Probability of getting head (success)p= 1/2
Probability of getting tail (failure )q=1/2
Total number of trials(n) = 8
number of success (r)= 3
Binomial probability P(r=3)
[tex]nCr(p)^{n-r}q^r[/tex]
Plug in the values in the formula
[tex]nCr(p)^{n-r}q^r\\8C3(\frac{1}{2} )^{8-3}\frac{1}{2} ^3\\ \frac{8!}{3!(8-3)!} (\frac{1}{2} )^8\\56 \cdot (\frac{1}{256} )\\0.21875[/tex]
To convert it into percentage , multiply by 100
0.21875 times 100= 21.9
Answer :
21.9%
what is 4 3/8 - 5 1/2 ? Enter your answer as a fraction in simplest form
Answer:
6 1/6
Step-by-step explanation:
A curve has the equation y=(k+x/2)In 2x
The normal to the curve at B(0.5, 0) is parallel to the line 29 y = 6x +5.
Find the value of k.
Answer:
the answer is 92
Step-by-step explanation:
If h = 7 inches and r = 3 inches, what is the surface area of the geometric shape formed by this net?
Answer:
7 inchedhmutk84ky2oy73873uryr
Answer:
21porqse multiplica dos +64+55+776th grade math help me please :))
Answer:
1: 7 2: 3
Step-by-step explanation:
Answer:
1.)x=7
2.)x=27
Step-by-step explanation:
1.) 84/12=7
2.) 9*3=27
27/9=3
The range of which function includes -4
Answer:
the first one
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
just took the quiz on edge
Please help !! ASAP !!
All chooses are true or false.
Answer:
T,F,T,T
Step-by-step explanation:
I’m not sure how technical they’re being with the last prompt but he would actually make 108 checkouts by clock out time. Sooo I’d say true, since he made more than inferred, rather than less.
Answer:
The first one is technically both because he will complete 18 every hour, not 16
The second one is false
Third one is true
and the fourth one is kind of like the first one where he will complete 108 in the span of 6 hours which is more than expected
Hope this helps
Step-by-step explanation:
Calculate the value of B in the triangle below.
Answer:
30
Step-by-step explanation:
The calculation is in the image
There are 644 boys and 520 girls in a school. The probability that a boy is chosen at random studies French is 3/7. The probability that a girl is chosen at random studies French is 5/8.
a) Work out the number of students in the school who study french
b) What is the probability, as a fraction, that a student chosen at random from the whole school does NOT study French
Answer:
a. 601
b.
[tex]\frac{563}{1164}[/tex]
Step-by-step explanation:
a. The number of students in the school who study french:
The number of boys who study french + The number of girls who study french:
= (3÷7)×644+(5÷8)×520
= 601
b. the probability that a student does NOT study French :
= P(boy does not study french) + P(girl does not study french)
[tex]=(\frac{644}{1164} ) (1-\frac{3}{7} )+(\frac{520}{1164} )(1-\frac{5}{8} )\\\\= \frac{563}{1164}[/tex]
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 60 pints of a mixture that is 60% pure fruit juice?
Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Step-by-step explanation:
Let x be number of pints of the first fruit drink which is ( 55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).
We know that there are 60 total pints. Therefore:
x + y = 60
We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from
x or y.
For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:
0.55x + 0.85y = 60 × 0.6
0.55x + 0.85y = 36
We will get rid of the decimals by multiplying through by 100. This will be:
55x + 85y = 3600
Combining both equations
x + y = 60 .......... i
55x + 85y = 3600 ........ ii
Multiply equation i by 55
Multiply equation ii by 1
55x + 55y = 3300
- 55x + 85y = 3600
Then subtract
-30y = -300
y = 10
Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tickets for $9. The 9th graders received a total of $240 from sales. In total, 40 tickets were sold. Write a system to represent this situation. Be sure to define your variables. Use your system to determine how many tickets of each type the students sold.
Answer:
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Step-by-step explanation:
Let [tex]x[/tex] be the number of student tickets sold.
Let [tex]y[/tex] be the number of adult tickets sold.
As per the question statement, total tickets sold are 40.
[tex]x +y =40 ...... (1)[/tex]
Price of each student ticket = $5
Sales from students' tickets = Price of each students ticket [tex]\times[/tex] Number of students tickets sold
Sales from student's tickets = 5 [tex]\times x[/tex]
Price of each adult ticket = $9
Sales from adult's tickets = Price of each adult's ticket [tex]\times[/tex] Number of adult tickets sold
Sales from student's tickets = 9 [tex]\times y[/tex]
Total sales is done by students and adult tickets is $240 as per the question statement.
[tex]\Rightarrow 5x + 9y = 240 ......(2)[/tex]
Solving equations (1) and (2) using elimination method:
Equation [tex](2) - 5 \times (1)[/tex] :
[tex]5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10[/tex]
Total number of adult tickets sold = 10
Putting [tex]y=10[/tex] in equation (1):
[tex]x+10 = 40\\\Rightarrow x = 30[/tex]
Total number of students tickets sold = 30
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Pham can work as many or as few hours as she wants at the college bookstore for $10 per hour. But due to her hectic schedule, she has just 20 hours per week that she can spend working at either the bookstore or at other potential jobs. One potential job, at a café, will pay her $12 per hour for up to 5 hours per week. She has another job offer at a garage that will pay her $11 an hour for up to 2 hours per week. And she has a potential job at a day care center that will pay her $8.50 per hour for as many hours as she can work. If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?
Answer:
16 hours per week
Step-by-step explanation:
Pham can earn TR1 = $11*16 = $176 at the college bookstore.
At a café she can earn TR2 = $12*6 = $72.
At a garage she can earn TR3 = $10*5 = $50.
At a daycare center she can earn TR4 = $8.50*16 = $136.
If her goal is to maximize the amount of money she can make each week, then she should work 16 hours per week at the bookstore to earn $176.
-stated by a math superior online
Answer:
oof
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
The answer is (c) as you can see that in (c) option , every element has only 1 image , which is not in the case of others
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of
[tex]\pi[/tex]
Answer:
288
Step-by-step explanation:
Just took test on edg
Una persona observa en un ángulo de 54° lo alto que es un edificio; si la persona mide 1,72 metros y está ubicada a 18 metros de la base del edificio.
a) cuál es la altura en metros del edificio
Answer:
[tex]h=26.49m[/tex]
Step-by-step explanation:
First, take a look at the picture I attached you. It is a drawing which represent the problem.
As you can see from the picture the building height [tex]h[/tex] would be the sum of the person's height plus the length of the side [tex]a[/tex] of the triangle:
[tex]h=1,72m+a[/tex]
There are many ways to solve this problem, however I believe that the easiest one is using tangent identity which states:
[tex]tan(\theta) =\frac{opposite}{adjacent}[/tex]
Hence:
[tex]tan(54)=\frac{a}{18}[/tex]
Solving for [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
So the building height is:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Translation:
Primero, mira la imagen que te adjunté. Es un dibujo que representa el problema.
Como puede ver en la imagen, la altura [tex]h[/tex] del edificio sería la suma de la altura de la persona más la longitud del lado [tex]a[/tex] del triángulo:
[tex]h=1,72m+a[/tex]
Hay muchas maneras de resolver este problema, sin embargo, creo que la más fácil es usar la identidad de la tangente que establece:
[tex]tan(\theta) =\frac{opuesto}{adyacente}[/tex]
Por lo tanto:
[tex]tan(54)=\frac{a}{18}[/tex]
Resolviendo para [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
Entonces la altura del edificio es:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Answer:
$2.96
Step-by-step explanation:
3x$2.67=$8.01
3x$2.73=$8.19
5x$3.27=$16.35
$8.01+$8.19+$16.35=$32.55
This makes 11 pounds of trail mix.
$32.55 divided by 11 = $2.9590909 = $2.96
A circle has a radius of 6/7 units and is centered at (-2.3, 0). Write the equation of this circle.
Answer:
[tex](x+2.3)^{2} +y^{2} =36/49[/tex]
Step-by-step explanation:
To get the equation of a circle we plug your information into this equation:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Your h is the x coordinate of the center, -2.3 and your k is the y coordinate of the center, 0. The r is your radius. So we plug these values in to get [tex](x+2.3)^{2} +y^{2} =(6/7)^{2}[/tex] which then gives us the final answer of [tex](x+2.3)^{2} +y^{2} =36/49[/tex].
Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many kilometers does he still have to travel to reach his destination
Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
pls help me with this — show work pls
Answer:
D
Step-by-step explanation:
Given the functions f(x) = x(x-2) and g(x) = 2x + 4, which is the corresponding table?
Answer:
see below
Step-by-step explanation:
One of the ways you can tell is that g(x) is always even. Only one table has that.
g(x) = 2(x +2)
g(x) has a factor of 2 in every result, so cannot be odd for any integer x.
5) Two machines M1, M2 are used to manufacture resistors with a design
specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to
follow normal distribution with mean 1050 ohm and standard deviation of 100
ohm, while those of M2 are found to follow normal distribution with mean 1000
ohm and standard deviation of 120 ohm. Which machine do you prefer? Why?
Answer:
Since M1 has the higher probability of being in the desired range, we choose M1.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.
So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.
For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.
M1:
Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that [tex]\mu = 1050, \sigma = 100[/tex]
The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1050}{100}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1050}{100}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.6915 - 0.0668 = 0.6247.
M1 has a 62.47% probability of being in the desired range.
M2:
M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that [tex]\mu = 1000, \sigma = 120[/tex]
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1000}{120}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a pvalue of 0.7967.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1000}{120}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a pvalue of 0.2033
0.7967 - 0.2033 = 0.5934
M2 has a 59.34% probability of being in the desired range.
Since M1 has the higher probability of being in the desired range, we choose M1.
An equation is a mathematical sentence that compares expressions that are
Answer:
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.
Step-by-step explanation:
Find the slope and y intercept of the line y= 3x-6
Answer:
slope = 3
y-int= -6
Step-by-step explanation:
y=mx+b
m: slope
b : y-int
PLEASE HELP?
The product of two rational numbers is ______ rational.
A: never
B: sometimes
C: always
Answer: C Always
Step-by-step explanation: multiply two rationals is the same as multiply two fractions which will result in another fraction
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
If you shifted this equation 7 units to the right and 3 down, the new formula would be [tex]4(x-7)^2-19[/tex], or answer choice B. Hope this helps!
nine thousand and ninety
Answer:
I don't really know what your asking but you write nine thousand and ninety like 9090.
Step-by-step explanation:
Hope this helped :)??
Identify the most reasonable unit to measure the height of a coffe cup
Answer:
m
Step-by-step explanation:
solve the system of equations y=4x+1, y=x2+2x-2