Answer:
r = 8
Step-by-step explanation:
→Distribute the 7 to (-3r + 16):
-16r + 15 + 17 = 7(-3r + 16) - 5r
-16r + 15 + 17 = -21r + 112 - 5r
→Add like terms:
-16r + 32 = -26r + 112
→Add 26r to both sides:
10r + 32 = 112
→Subtract 32 from both sides:
10r = 80
→Divide both sides by 10:
r = 8
Answer:
Step-by-step explanation:
-16r +15+17= 7(-3r+16)-5r
-16r+32 = -21r +112-5r
-16r +26r=112-32
10r =80
r=80/10
r=8
mark me as the brainliest and hope it helps you..
Please help me with my math question!!!
Answer:
No because it doesn't show the angle?
Step-by-step explanation:
Kill’em Dead Pest Control needs to set out 5 roach motels per square yard. In a rectangular studio apartment that’s 7 yards by 4 yards wide, about how many roach motels will need to be set out?
Answer:
113 moteis
Step-by-step explanation:
A = 7 x 4 = 28 yards^2
1 yard - 0,9 m
1 yard^2 - 0,81 m^2
28 yards^2 - A
A = 28 x 0,81 = 22,68m^2
22,68 x 5 = 113,4
113 moteis
Answer:
140
Step-by-step explanation:
because it is
In the decimal 2.1738 the 7 is in the _____place
Answer:
hundreth's place
Step-by-step explanation:
see attached for explanation
emergency!!!! Find the quotient and remainder when x^4 is divided by x^2 +2x -1
Answer:
quotient x² - 2x + 5
remainder (-12x+5)
Step-by-step explanation:
x² -2x +5
x² + 2x - 1 | x^4 + 0*x³ + 0*x² + 0x + 0
|-(x^4 + 2x³ - x²)
- 2x³ +x² + 0x
-(-2x³ - 4x² + 2x)
5x² - 2x + 0
-( 5x² +10x -5)
-12x + 5
x² - 2x + 5 + (-12x + 5)/(x² + 2x - 1)
The Quotient is [tex]x^{2} -2x+5[/tex] and The remainder is -12x +5
How to Solve this Problem?
This problem can be solved by following steps
According to the statement ,when x^4 is divided by x^2 +2x -1It is not possible to divide only x^4 We need more terms to make the division possible. We will add more terms such as 0*x^3+0x^2+0x+0Now it is Possible to divide by x^2 +2x -1The Quotient we get is [tex]x^{2} -2x+5[/tex]The Remainder we get is -12x+5Learn More about Quotient and remainder here
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Share $50 among Tom, Larry and Jim in the ratio 4:7:9. How much money does JIM get?
Answer:
$22.5
Step-by-step explanation:
4x+7x+9x=5020x=50x=2.5Jim gets 9*2.5= $22.5
$50/20=2.5
2.5*4=10
2.5*7=17.5
2.5*9=22.5
Jim gets $22.50
3x/3=? I WILL MARK U BRAINLIST!!!!!
Answer:
3 x 3 =9
Step-by-step explanation:
9
Answer: x
Step-by-step explanation: When dividing 3x by 3, the 3's will cancel each other out simply leaving us with our variable, x.
The graph of a sinusoidal function has a minimum point at (0,3)(0,3) and then intersects its midline at (5π,5)
Write the formula of the function, where x is entered in radians.
Answer: F(x) = 2*sin(x/10 +(3/2)*pi) + 5
Step-by-step explanation:
The information that we have is that:
We have a minimum at (0, 3)
the midline is at (5*pi, 5)
This is a sinusoidal function, so we can write one generic one as:
F(x) = A*sin(c*x + p) + B.
where A and B are constants, c is the frequency and p is a phase
First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi
We know that this minimum is at x = 0.
sin(c*0 + p) = -1
Then p = 3/2*pi.
So our function is:
F(x) = A*sin(c*x +(3/2)*pi) + B.
Now, we know that F(0) = 3, so:
3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.
now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.
then:
c*5*pi + (3/2)*pi = 2*pi
c*5 + 3/2 = 2
c*5 = 2 - 3/2 = 1/2
C = 1/2*5 = 1/10
So our function is
F(x) = A*sin(x/10 +(3/2)*pi) + B
and we know that when x = 5*pi, F(5*pi) = 5, so:
5 = F(x) = A*sin(5*pi/10 +(3/2)*pi) + B
5 = B
and we aready knew that:
- A + B = 3
-A + 5 = 3
A = 5 - 3 = 2
So our equation is:
F(x) = 2*sin(x/10 +(3/2)*pi) + 5
Answer:
the correct answer is
[tex]f(x) = - 2 \cos( \frac{1}{10}x ) + 5[/tex]
find an expression for the nth term of the sequence 1,5,11,19,29
Answer:
Step-by-step explanation:
1,5,11,19,29
the series of numbers :
A 2-A 1 = 5–1=4
A 3-A 2 = 11–5=6
A 4-A 3 =19–11=8 the third term is 8
A 5-A 4= 29-19= 10 the forth term is 10
nth term is 4+(n-1)2.
The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation:
What is the general form of the equation of the line shown?
Answer:
x - y = 0
Step-by-step explanation:
The given line is y = x.
We could re-write this as x - y = 0, which is in general form.
Plzzzz help I’ll give Brainiest to whoever gives me the answer!!!!!
Answer:hello
Because negative can't go under the radical 2
For example we can't find two number that multiplication of them be negative. 2×2=4,-2×-2=4.
I'll hope that l explane for you weel
Step-by-step explanation:
show that x^2-8x+20 can be written in the form (x-a)^2+a. Where a is an integer
Answer:
(x - 4)^2 + 4
Step-by-step explanation:
x^2 - 8x + 20
= x^2 - 2*4*x + 16 + 4
= x^2 - 2*4*x + 4^2 + 4
= (x - 4)^2 + 4
= (x - a)^2 + a, with a = 4
Hope this helps!
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does P(A or B) = 0.45 mean in terms of this problem?
A. The probability that a customer buys a taco, a drink, or both is
45%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
45%.
D. The probability that a customer buys both a taco and a drink is
45%.
Answer:
The probability that a customer buys a taco, a drink, or both is 45%.
Step-by-step explanation:
apeeex
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The value of the probability of an event must lie between the interval of [0, 1].
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
More about the probability link is given below.
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EXERCISE
A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
Answer:
1)The probability that the ball drawn is not red is 6 /14
2)Probability of getting either a prime or a multiple of 3 is 7/10
3)Probability of drawing three balls without replacement such that all three are Same colour is 0.0747
Probability of drawing three balls without replacement such that all three are different colour is 0.5
Step-by-step explanation:
1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
No. of red balls = 8
No. of blue balls = 4
No. of green balls = 2
Total no. of balls = 8+4+2=14
P(Getting red bal)=[tex]\frac{8}{14}[/tex]
P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]
So,the probability that the ball drawn is not red is 6 /14
2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
Numbers : 1 ,2,3,4,5,6,7,8,9,10
Prime numbers: 2,3,5,7 = 4
Multiple of 3 = 3,6,9 =3
So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]
Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]
So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]
Hence Probability of getting either a prime or a multiple of 3 is 7/10
3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
No. of red balls = 4
No. of blue balls = 5
No. of green balls = 6
Total balls = 15
Case 1 :all three are Same colour
So, probability of drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]
So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]
So,probability of drawing three balls without replacement such that all three are Same colour is 0.0747
So,probability of drawing three balls without replacement such that all three are different colour is 0.5
Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0
Answer:
[tex]x=-3,4[/tex]
Step-by-step explanation:
Factorise in order to reveal factors.
[tex]x^2-x-12=0\\(x-4)(x+3)=0[/tex]
A cell phone company charges $60 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
Answer:[tex]c=60+0.05d[/tex]
Step-by-step explanation:
Given
Company charges [tex]\$60[/tex] for [tex]1\ GB[/tex] data
and charges [tex]\$0.05/MB[/tex]
If c is the total cost and d represent no of additional megabyte then
Cost is given by the sum of fixed price + additional data charge
[tex]c=60+0.05\times d[/tex]
Therefore final charge is given by
[tex]c=60+0.05d[/tex]
The weather forecaster says that there is an 80% chance of rain today. Which statement describes the likelihood that it will rain today?
N/5 = -1/5 what is n?
Answer:
n = -1
Step-by-step explanation:
→The fraction [tex]\frac{n}{5}[/tex] is really just [tex]\frac{1}{5}n[/tex]:
[tex]\frac{1}{5}n = \frac{-1}{5}[/tex]
→To get n by itself, you must multiply both sides by the reciprocal of [tex]\frac{1}{5}[/tex], which is 5:
5 · [tex]\frac{1}{5}n = \frac{-1}{5}[/tex] · 5
n = -1
what is 3.9/5.9 reduced to its lowest form
Answer:
About 0.66 or in fraction form 2/3
Step-by-step explanation:
You divide 3.9 by 5.9
Answer:
39/59
Step-by-step explanation:
3.9 / 5.9
Multiply the top and bottom by 10 to clear the decimals
3.9*10 / 5.9 * 10
39/59
Since 59 is prime, this is the simplest form
Which statements are true about triangle ABC and it’s translated image, A’ B’ C’
Answer:
The last one is the answer
Step-by-step explanation:
What is the length of the hypotenuse of the triangle?
Answer:
26 ft
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10^2+24^2 = c^2
100 +576 = c^2
676 = c^2
Take the square root of each side
sqrt(676) = sqrt(c^2)
26 = c
Answer:
26 ft
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
10^2+24^2=676
square root of 676= 26
A group of friends were working on a student film. They spent $270 on props which was 45% of their total budget. What was the total budget for their student film?
Answer:
The total budget for their student film is $600
Step-by-step explanation:
Here, we want to calculate the total budget of a group of students on a movie given the amount the spent on props.
Since we do not know this amount, we can call it x
Now, 45% of this x was the amount spent on props and it is equal to $270
Mathematically;
45/100 * x = 270
45x = 100 * 270
x = (100 * 270)/45
x = 600
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1. Subtract 2 from both sides.
2. Multiply both sides by 2.
3. Take the square root of both sides.
4. Subtract 5 from both sides.
Answer:
Subtract 2 from both sides
Multiply both sides by 2
Take the square root of both sides
Subtract 5 from both sides
Step-by-step explanation:
Please refer to the picture attached.
A boy cycles at an average speed of 22 km/h . How long does it take him to travel 55 km ?
Answer:
Step-by-step explanation:
that is 55/22 = 2.5 hrs
Answer: .two and a half hours.
Step-by-step explanation:
22/1 = 55/x
22x=55
X=2.5
PLEASE HELP 10 Points!!!!
Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered using combinations or permutations
Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
[tex]P=\frac{n!}{(n-r)!}[/tex]
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
The body and head of a fox measure 19 ⅘ inches, and its tail measures 10 ⅘ inches. Whatis the total length of the fox?
Answer:
The total length of the fox is 30 3/5 inches
Step-by-step explanation:
Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.
Mathematically, the total length of the fox = length of its head and body + length of its tail
length of the head and body = 19 4/5
length of its tail = 10 4/5
Plugging these values into the equation, we have;
19 4/5 + 10 4/5
99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Answer: A
Step-by-step explanation:
it intercepts y at -3 and you can find slope using rise/run
a cube aquarium without alid its internal edge length is 20 cm if the aquarium is made of glass where the thickness of glass is 0.75 cm find the volume of glass
Answer:
Multiply 20 x 0.75 = 15
Step-by-step explanation:
Use the given measurements on the triangle to write the following trig ratios and answer the question that follows Please help!
Answer:
1. sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Step-by-step explanation:
For Part 1
With knowledge of SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
So:
sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
For Part 2
We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other