Answers;
Question 1 answer: The first and last option.
Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.
2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.
A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?
Answer:
His son is 3 years old.
Step-by-step explanation:
33 years old ... 3 less than .... = 36
36/12 = 3
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
Given the set of numbers, 2, 3, 4, 8, 10 with mean = 6 The Second moment about the mean for this set is?
Answer:
Given,
2,3,4,8,10
ex=2+3+4+8+10+x
=27+x
mean=6
no of data=5
now,
mean = ex/n
or,6=27+x/5
or,5×6=27+x
or,30=27+x
or,30-27=x
3=x
I’m unsure why I keep getting this wrong
Answer:
the answer is 5
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Answer:
26/25x^2+25x or x=0,x=-1
Step-by-step explanation:
The next two systems do NOT have opposite like terms
Answer:
x = 10
y = 6
Step-by-step explanation:
Multiply second equation with -1 and then add it up with first equation
(-1)*(6x - 7y) = 18
-6x + 7y = -18
6x - 6y - 6x + 7y = 24 - 18 add like terms
y = 6 to find the value of x use this information
6x - 6y = 24 replace y with 6
6x - 6*6 = 24
6x - 36 = 24 add 36 to both sides
6x = 60 divide both sides by 6
x = 10
evaluate f(2) and lim f(x) where f(x)=5x^3+3x+1
Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.
[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1
HELP ASAP!!! 100 POINTSS alan collects data about the students in his class. he records their hair color and whether they have have freckles. his results are shown in the table below.
find each probability
a. P(freckles)
b. P(blonde hair or red hair)
c. P(freckles and brown hair)
d. P(no freckles | red hair)
Answer:
A. 52%
B. 36%
C. 16%
D. 4%
Step-by-step explanation:
13/25 people have freckles.
9/25 people have Blonde or red hair.
4/25 people have freckles and brown hair.
1/25 people have freckles and red hair.
Divide the fractions to get the percentages.
The probabilities are A. 52%, B. 56%, C. 16% and D. 4%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,
P(E) = (Number of favourable outcomes) ÷ (Sample space).
There are total 25 students in data,
A) Students having freckles = 13
P(freckles) = 13/25% = 52%
B) Students having blonde or red hair = 14
P(blonde hair or red hair) = 14/25% = 56%
C) Students having freckles and brown hair = 4
P(freckles and brown hair) = 4/25% = 16%
D) Students with no freckles and red hair = 1
P(no freckles and red hair) = 4/25% = 4%
Hence, a. P(freckles) = 52%
b. P(blonde hair or red hair) = 56%
c. P(freckles and brown hair) = 16%
d. P(no freckles | red hair) = 4%
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pls help it is 7th grade math
[tex]39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}[/tex]
Choose the symbol that correctly compares these mixed numbers.
Answer : =
Step - by - step explanation :
6 3/6 -- simplest form --> 6 1/2
6 6/12 -- simplest form --> 6 1/2
2x-3y=7 and y=3x-7 how do you solve this using subsitution
[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]
If you put $1,000 in a savings account that yields an 7% annual rate of interest that is compounded weekly,
a
how much would that be worth in 25 weeks (round to the nearest dollar)?
(Select the best choice below.)
O A. $1,040
O B. $1,034
O C. $1,043
OD. $1,025
Please show work! Thank you
Answer:
Answer B- 1034
7% annual rate is 70. divide by 52 (total amount of weeks in a year) =1.35. 1.35 × 25=33.75 rounded up 34. 1000+34=1034
What is ten times as great as 450?
Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
Ten times as great as 450 is 4500.
We need to find what is ten times as great as 450.
What is multiplication?When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.
Multiplication step:
Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.Now, ten times as great as 450=10×450=4500
Therefore, ten times as great as 450 is 4500.
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Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
Answer:
x-intercept: 4
y-intercept: -4
Step-by-step explanation:
Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!
The population of a slowly growing bacterial colony after t hours is given by
p(t) = 4t² + 27t + 150. Find the growth rate after 2 hours.
bacteria/hour
Submit Question
A function is an expression that defines a relationship between an independent variable and a dependent variable.
The number of bacteria colonies after 2 hours is 220.
What is a function?It is an expression that defines a relationship between an independent variable and a dependent variable.
We have,
P(t) = 4t² + 27t + 150
Where t = time
P(t) = population of a slowly growing bacteria colony after a particular time
The growth rate after 2 hours:
P(2) = 4 x (2)² + 27 x 2 + 150
P (2) = 16 + 54 + 150
P (2) = 220
Thus the number of bacteria colonies after 2 hours is 220.
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Has a slope of -2/5 and goes through (-10,-1)
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary
There are 6 numbers on a standard die and. 5 of the numbers are less than 6.
The probability would be 5/6
Evaluate the expression when x = 8 and y = 1.
x2y
Answer:
1/8
Step-by-step explanation:
I took the test this is it
The sum of 8 and a number is 9
Answer:
The sum of 8 and 1 is 9.
lol
Step-by-step explanation:
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
Answer:
Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.
Step-by-step explanation:
Given : The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.
The dimensions of the generic television set = 12 inches by 24 inches
Let the dimensions of brand name be x by y such that
three eighth of x=12 inches
and three eighth of y=24 inches
Therefore, the dimensions of the brand name television = 32 inches by 64 inches.
Hence option (C) is correct.
Find the Product of 7/9of27
7 x 27 189
= -------------------
9 x 1 9
In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made in his game?
Answer:
0.6
Step-by-step explanation:
3/5=0.6
What is the answer ??
Answer:
first of all take LCM OF THE denominator and solve it as shown
After a party there is 3/4 of a pizza left. You split it evenly between you and 3 friends. What fraction of a pizza does everyone get?
Answer:
3/16
Step-by-step explanation:
3/4÷4=3/16
Since there are 4 people, not 3, divide the remaining pizza by 4.
Zachary is going out with his friends to see
a movie and shop. He has $32 and the
movie will cost $7.25. Write and solve an
inequality to find how much money
Zachary can spend shopping.
Answer:
7.25 + S ≤ 32
Step-by-step explanation:
Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s
Name a number that has the same absolute value as 23
Answer: A number with the same absolute value of 23 is -23.
Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.
Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.
−6 is 6 away from zero, so the absolute value of −6 is 6.
The number that has the same absolute as 23 is -23.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
An absolute number x is denoted by |x|
If x = -x,
|-x| = x
Now,
|23| = 23
|-23| = 23
So,
-23 has the same absolute value as 23.
Thus,
-23 is the number.
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graph y + 2 = -3/4 (x+4)
Answer:
Use a website called desmos and type in y=-3/4(x+4)-2
Step-by-step explanation:
1) isolate y by subtracting 2 on both sides
y=-3/4(x+4)-2
Answer:
Clue: two points : (0,-5) ( 4 , -8)
Step-by-step explanation:
Look at the graph.
Find the projection of u onto v.
- Is the answer on the bottom correct?
Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?
PLEASE SHOW YOUR WORK
Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.
She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.
It is done factoring them using prime factors, then:
4 - 6 - 16|2
2 - 3 - 8|2
1 - 3 - 4|2
1 - 3 - 2|2
1 - 3 - 1|3
1 - 1 - 1
Hence:
lcm(4,6,8) = 2x2x2x2x3 = 48
She will do all the three activities again on the same day again in 48 days.
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Solve for B.
15B +9C =6
Answer:b=5
Step-by-step explanation:
The value of B for the given expression is B = (2 - 3C) / 5.
What is an expression?An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.
Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.
To solve for B, we need to isolate B on one side of the equation.
15B + 9C = 6
Subtract 9C from both sides:
15B = 6 - 9C
Divide both sides by 15:
B = (6 - 9C) / 15
Simplifying the right side gives:
B = (2 - 3C) / 5
Therefore, B = (2 - 3C) / 5.
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