Answer:
70
Step-by-step explanation:
Given:
m(x) = 10 + 3x
where,
m(x) = the amount of money he will have after a week of doing x additional hours of chores
x = additional hours of chores
Evaluate m(20), What does this mean?
m(x) = 10 + 3x
m(20) = 10 + 3(20)
= 10 + 60
= 70
m(20) = 70
m(20) means additional hours of chores is 20
Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it take chandler to raise enough money to buy his gaming system?
Answer:
3 weeksStep-by-step explanation:
Step one:
given data
expected amount =$200
cash already at hand=$80
savings per week=$40
let the number of weeks be x
Step two:
the linear function for the situation is the same as the equation of a straight line
y=mx+c------1
200=4x+80
solve for x
200-80=40x
120=40x
divide both sides by 4
x=120/40
x= 3 weeks
Chandler will save for 3 weeks
PLEASE HELP ME
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answers For Entire Assignment!!
Page 1 D, A, C
Page 2 C
Page 3 B, A
Page 4 C, D, F
Page 5 Identify the factor x + 3 from the given root –3.
Use synthetic division to divide the polynomial by x + 3.
Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.
Factor the quotient to find the two other factors: x + 2 and 2x – 1.
Page 6 B, C, E
Page 7 B, 1.3
Page 8 The student used k = –5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x – 5 is a factor because there is no remainder when the division is performed correctly.
Trust The Milk. Get that hundo.
this is about angle pairs
can someone help me please, its geometry
Answer:
2n
Step-by-step explanation:
Pythagoras [tex]a^{2} + b^{2} = c^{2}[/tex]
2 squared plus 2 squared = 8 but you need to find out the root of 8,
square root of 8 is a surd, so answer in that
Answer:
4n
Step-by-step explanation:
a^2+b^2=c^2
2n^2+2n^2=c^2
4n^2=c^2
sqrt 4n^2=sqrt c^2
4n=c
In a certain country, the true probability of a baby being a girl is 0.479. A mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy ? Round to 3 decimal places as needed
Answer:
0.947
Step-by-step explanation:
We are told that the true probability of a baby being a girl is 0.479.
This means that probability of a baby being a boy is;
p = 1 - 0.479
p = 0.521
Now,using binomial probability distribution formula we can solve this problem.
P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.
This is;
P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)
P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)
P(1) = 0.229
P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)
P(2) = 0.3737
P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)
P(3) = 0.27096
P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)
P(4) = 0.0737
Thus;
P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737
P(X ≥ 1) = 0.94736
P(X ≥ 1) ≈ 0.947
A factory makes Jars in batches of 160 and lids in batches of 216. The next puts the jars in a row, fills them and then attaches the lid. They want to make the largest row possible so the jars and lids are divided evenly by the rows. What is the largest row possible?
Answer:
8 is the largest row possible
Step-by-step explanation:
What this question is simply asking is to find the greatest common factor of 216 and 160
The greatest common factor of 216 and 160 is 8
So what this mean is that the largest row possible is 8
What is the volume of the square pyramid? Round to the nearest hundredth, if needed.
5 in.
9 in.
9 in
0405 in 3
135 in. 3
675 in 3
75 in. 3
Answer:
The answer is 135 in 3.
Step-by-step explanation:
To find the volume of a square pyramid, first you need to find the base and height. In this case,
a = 9
h = 5
Now we use the formula (1/3 a^2 h) To find the volume.
I will use )( To show numbers being multiplied, example: 3)(4 = 12
=1/3)(9 cm^2)(5 cm
=1/3)(81 cm)( 5 cm
= 135 in. 3
Solve 6+5c-2c+7-c equation
Answer:
2c+13
Step-by-step explanation:
i hope i helped:)
Jace is working two summer jobs, making $18 per hour lifeguarding and
making $10 per hour washing cars. In a given week, he can work a maximum
of 13 total hours and must earn no less than $170. If x represents the number
of hours lifeguarding and y represents the number of hours washing cars,
write and solve a system of inequalities graphically and determine one
possible solution.
Answer:
One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars
Step-by-step explanation:
The parameters of the two summer jobs Jace is working are;
The amount Jace makes for Lifeguarding = $18 per hour
The amount Jace makes for washing cars = $10 per hour
The number of hours he can work a week ≤ 13 hours
The amount he must earn in a ≥ $170
Whereby we have;
x = The number of hours Jace spends lifeguarding
y = The number of hours Jace spends washing cars
The system of inequalities are;
x × 18 + y × 10 ≥ 170
x + y ≤ 13
Making y the subject of the formula of both inequalities gives;
For the first inequality, we have;
x × 18 + y × 10 ≥ 170
10·y ≥ 170 - 18·x
y ≥ 170/10 - 18/10·x
y ≥ 17 - 1.8·x
For the second inequality, we have;
x + y ≤ 13
y ≤ 13 - x
Graphing both inequalities is drawn using Microsoft Excel
Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;
17 - 1.8·x = 13 - x
17 - 13 = 1.8·x - x
4 = 0.8·x
x = 4/0.8 = 5
y ≤ 13 - x gives;
y ≤ 13 - 5
y ≤ 8
Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution
Therefore;
One possible solution is x = 5 hours, y = 8 hours
The number of hours Jace spends lifeguarding = x = 5 hours
The number of hours Jace spends washing cars = y = 8 hours.
Need help will mark brainliest
Answer:
A. 127º
Step-by-step explanation:
So we already know that the inside of a triangle is equal to 180º. We already have two of the angles so we can start by adding those together.
75 + 52 = 127
180 - 127 = 53
m∠A = 53º
Now, we also know that a straight line is equal to 180º so all we have to do now is subtract 53 from 180 to get the measure of ∠BAD
180 - 53 = 127
What do static electricity and current electricity have in common.
Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.
HAVE A BLESSED DAY!!!!
there are 12 inches in a foot how many square inches are in 1 1/2 feet
Answer:
144.
The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.
Morgan is in the business of manufacturing phones. She pays a cost of $200
per phone produced for materials and labor and also must pay a daily fixed
cost of $400 to rent the building and equipment. Make a table of values and
then write an equation for C, in terms of p, representing total cost, in dollars,
of producing p phones in a given day.
Answer:
C = 200p + 400
Step-by-step explanation:
Because C is the cost of a given day, 400 acts as a y-intercept.
400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.
f(0) = -5, f(4) = -3
Answer:
y = [tex]\frac{1}{2}[/tex] x - 5
Step-by-step explanation:
Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points
(0, - 5) and (4, - 3)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)
m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line
4x = 28, then x=.......................
Answer:
x=7
Step-by-step explanation:
28/4=7 or 4*7=28. you just multiply or divide to find your answer
Please help, I’m being timer
Answer:
CB=18
And the measure of angle BDA is 21 degrees
Step-by-step explanation:
Answer: ∠BDA = 21; CB = 30
have:
sin ∠BDC = [tex]\frac{4x+6}{BD}[/tex]
sin ∠ADB = [tex]\frac{7x-12}{BD}[/tex]
because ∠BDC = ∠ADB => sin ∠BDC = sin ∠ADB
=> [tex]\frac{4x+6}{BD}=\frac{7x-12}{BD}[/tex]
=> 4x + 6 = 7x -12
<=> 3x = 18
<=> x = 6 => CB = 4.6 + 6 = 30
Step-by-step explanation:
A jewelry store is having a 50% off salefor all necklaces. During the sales, what is the sale priceof a necklace,that regularlycost$49?
answer asap i will make brainliset !
find the slope of the graph
Answer:
D
Step-by-step explanation:
Solve for j.
3 + 4
2
-3
Answer:
Hello!
Step-by-step explanation:
How do we solve for j when there is no equation with j in it to solve for j. Hope we can help you with this when we get a equation!
find the gif of the terms of the polynomial. 52x^8 + 12x^3
Answer:
The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.
Step-by-step explanation:
Ricardo bought 3 pounds of gummy bears for $7.77. What is price per pound for the gummy bears?
Answer:
2.59
Step-by-step explanation:
The ending balance on an investment is $1,620.24. If the principal was invested at 8% for nine years, what was the principal?
Find the midpoint of the segment with the given endpoints.
(-7.-10) and (-2,2)
Answer:
(-9/2,-4)
Step-by-step explanation:
I hope this helps.
Please help me find the missing length
Answer:
The tower is 48 ft tall.
Step-by-step explanation:
Refer to the figure attached.
Triangle ACD is similar to triangle BCE.
This means the proportion to some sides is the same, for example:
[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]
Substituting the values:
[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]
Multiplying by 64H:
[tex]8H=64*6[/tex]
Dividing by 8:
[tex]H=64*6/8=48[/tex]
The tower is 48 ft tall.
I bet I will mark you as a brainiest if u get this right
To make porridge, Goldilocks mixes together 3 bags of oats with 1 bag containing 20% wheat bran and 80% oats. All the bags have the same volume. What percentage of the volume of Goldilocks' porridge mixture is wheat bran?
5%
6%
20%
26%
60%
15%
8%
Answer:
6%
Step-by-step explanation:
This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.
V = r2h what is the equation for h?
Jesse wants to buy a guitar that cost $2000 however he cannot afford the full payment and in order to take you home he needs to leave a 12% down payment how much does Jessie need to pay to take the guitar home
Answer:
$240Step-by-step explanation:
Step one:
given data
we are told that the cost of the guitar is $2000
and that 12% of the cost must be paid for Jesse to take the guitar home.
Hence we aim to know what 12% of $2000 is
Step two:
The expression is
=12/100*2000
=0.12*2000
=240
This means that Jesse must pay $240 before he can take the guitar home
How to find vertex form with vertex: (3,6) and y intercept: 2
Answer:
f(x) = - ⁴/₉(x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
So for vertex (3, 6) it will be:
f(x) = a(x - 3)² + 6
y intercept: 2 means f(0) = 2
f(0) = a(0 - 3)² + 6
2 = a(-3)² + 6
2 -6 = 9a + 6 -6
-4 = 9a
a = ⁻⁴/₉
Therefore:
The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is
f(x) = - ⁴/₉(x - 3)² + 6
The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The vertex: (3,6) and y-intercept: 2
As we know,
The parabola equation:
f(x) = a(x - h)² + k
Here (h, k) is the vertex of the parabola and a is the leading coefficient.
f(x) = a(x - 3)² + 6
f(x) = 2 at x = 0
2 = a(0 - 3)² + 6
a = -4/9
f(x) = -4/9(x - 3)² + 6
Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
CAN SOMEONE HELP ME WITH THOSE 2 questions PLEASE !!!!!!
what is the value of X
Answer:
x = 12
Step-by-step explanation:
the two equations shown should add up to 180. so I did this equation: (10x-20)+ (6x+8) = 180 and I solved for x