Answer: The number is 8
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Step-by-step explanation:
8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
What is linear equation?
" Linear equation is defined as the algebraic expression which has highest power of the given variable equals to one."
According to the question,
'x' represents the unknown number.
As per the condition given linear equation we get,
5x + 7 = 47
Add (-7) both the sides
5x + 7 + (-7) = 47 + (-7)
⇒5x = 40
Divide by 5 both the sides we get,
(5x) / 5 = 40 / 5
⇒ x = 8
Hence, 8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
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In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?
Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.
The tiles are chosen without replacement, hence, the hypergeometric distribution is used.
The population is composed by the 100 tiles.The sample is composed by 7 tiles.The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.
[tex]\frac{100}{7} = 14.28 < 20[/tex]
Hence, the binomial distribution cannot be used.
A similar problem is given at https://brainly.com/question/25743676
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?
40 miles per week
Step-by-step explanation:
380-220 = 160÷4 = 40
You can travel 320 miles in one week for $320 miles.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.
If the amount is $380.
Then, 380 - 220 = 160
And 160 divided by 0.5,
= 160/0.5
= 320 miles.
Therefore, the required distance is 320 miles.
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i need help on this last question
what is the current produced by a 9-v battery flowing through a resistance of 150 ω
Answer:
Step-by-step explanation:
A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".
what is 846837947+858
Answer:
846,838,805
Step-by-step explanation:
Add 846837947+858
Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?
Answer:
$750
Step-by-step explanation:
If p represents the original cost, the relationship expressed in the problem statement is ...
60 = 0.08p
Dividing by 0.08, we find ...
p = 60/0.08 = 750
The original cost of the premium was $750.
-4/7÷8/9 help me with it please
Answer:
-36/56
Step-by-step explanation:
27.65 rounded to the second decimal place
Answer:
To the second decimal place would be 28 because 27.65 is closer to 28 than 27. Hoped this helped.
Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.
can someone give me the answer and please explain this to me because i really don't understand what this means at all, I need someone to help me with this because i'm going to be asking multiple of these questions. So if u have friends or family who know this answer then please tell/ask them these questions so they can help understand fractions. Not asking in a mean way i am just really cuious because i never learned how to do this so just let your family / or friends know what these answers are to all of the questions that i am going to ask about fractions because these are really hard for me!
Step-by-step explanation:
the one is the middle top the one in the middle bottom and the one in the bottom right
what is the vertex of the parabola -2=3(x+3)^2?
Answer:
P(-3 , -2)
Step-by-step explanation:
Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB
Answer:
3
Step-by-step explanation:
36 ÷ (x + 9)
=> 36 ÷ (3 + 9)
=> 36 ÷ 12
=> 3
Therefore, 3 is the answer.
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .
Answer: C ≈ 94.25 in
Step-by-step explanation:
John’s weekly salary is $428.25. His employer is changing the pay period to semimonthly. What will John’s semimonthly salary be to the nearest cent?
Answer: $856.50
Step-by-step explanation:
Semimonthly means twice a month.
2*(428.25) = $856.50
40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Take 2 points
(10,50)(30,60)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{60-50}{30-10}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{10}{20}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
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The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
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12 liters to quarts rounded to nearest hundredth
Answer:
12.6
Step-by-step explanation:
have a wonderful day :)
PLS SOLVE WITH EXPLANATION
-4(v + 1) = 2v-2 +2(3v + 2)
Make sure you simplify it as much as you can!
Answer:
v = -1/2
Step-by-step explanation:
-4(v+1) = 2v - 2 + 2(3v + 2)
-4v - 4 = 2v - 2 + 6v + 4
-4v - 4 = 8v + 2
-4 = 12v + 2
-6 = 12v
-6/12 = v
v = -1/2
14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer
942 flowers in157 vases= flowers per vase
Answer : 942/157 = 6
Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=
Answer:
[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]
Step-by-step explanation:
To find slope we use the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Two points on the line we can classify are (3,4) and (4,8)
1) -x2
-Х2
I need help with this problem
Solve the given equation
3x + 7 = 14 + 3x
Answer:
no solution.
Step-by-step explanation:
3x+7=14+3x
3x-3x=14-7
0=7
0 is not equal to 7, hence making this equation to have no solution.
Answer: no solution
Step-by-step explanation:
wuts x im so confuseded 15 points uwu
−2/9x+2.7=4
Answer:
[tex]x=-5.85[/tex]
Step-by-step explanation:
[tex]-2/9x+2.7=4[/tex]
Subtract 2.7 on both sides
[tex]-2/9x=1.3[/tex]
Multiply by 9
[tex]-2x=11.7[/tex]
divide by -2
[tex]x=-5.85[/tex]
plss hurry For a brainlist Please help:)
Determine the graph of the function f(x)=3^x−4
Answer:
It is D
Step-by-step explanation:
The equation of the horizontal asymptote is y = − 4 .Horizontal Asymptote: y = - 4
solve the equation please
142=10+4x+7x
x= what
Answer:
11
Step-by-step explanation:
142=10+12x
132=12x
11=x
Answer:
x=12
Step-by-step explanation:
