Answer:
Step-by-step explanation:
y - 9 = 2(x - 1)
y - 9 = 2x - 2
y = 2x + 7
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ2
Solve the system of equations.
y= 3x
y= x2-10
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
find the answer to the following
k(−1)= ?
please answer i need some help
Answer: - 1.10
Step-by-step explanation:
Point D is one space after -1 before -1.5.
Means it is at -1.10
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
If two right triangles each have a 30° angle, then the
triangles must be
Answer:
Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.
It follows that both triangles have a 60∘ angle:
180∘−90∘−30∘=60∘.
So they have three angles in common.
The triangles are CONGRUENT as per the AAA rule of congruency.
Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer
Green Material:
Brown material:
Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.
Anyway the volume of the bin is length times width times height,
V = 4 × 18 × 9 = 648 cubic inches
So the volume of brown is 20 % of that
B = 20% of V = .2 × 648 = 129.6 cubic inches
The volume of green is 30%,
G = 30% of V = .3 × 648 = 194.4 cubic inches
Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches
If W = 3x + 1 and P = -2x + 7, what is 2W + 2P
Answer:
2x+16
Step-by-step explanation:
2W+2P
Lets substitute the W and the P for their respective values.
2(3x+1) + 2(-2x+2)
Simplify
6x + 2 + -4x + 4
Simplify again
2x + 6
And there you have it!
Answer:
2x + 16
Step-by-step explanation:
2W + 2P
= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis
= 6x + 2 - 4x + 14 ← collect like terms
= 2x + 16
simplify this problem
Answer:
-22 1/2
Step-by-step explanation:
-2 1/2 *s
Let s = 9
-2 1/2 (9)
Change to an improper fraction
-5/2 *9
-45/2
Change back to a mixed number
-22 1/2
What are the steps to solve 1-3x=4-2x
Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x
One of the advantages to an employer of paying employees fuoco rate or commission is that the employee is paid based on
their performance What is one disadvantage of this type of pay?
Answer:
Becomes too focused on earning commission
Step-by-step explanation:
A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.
Answer:
The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.
Hope this helps!
what is the value of x ?!
Answer:
4
Step-by-step explanation:
2x - 1 = 7
2x = 8
x = 4
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
Mr. Davis has 15 students in his class he wants to send three of his students to pick up books for the class how many combinations of students can he choose
Answer:
45 combinations
Step-by-step explanation:
15*3= 45
A group of friends buys 15 movie tickets for a total of $147.66, which
includes a 7% sales tax.
Before tax, how much did a single movie ticket cost?
Answer: $9.20
Step-by-step explanation:
Divide the full tax price by the sales tax (7% or .07) plus 1 (always add 1 to the tax) thus
$147.66 / 1.07 = $138.00
So $138.00 is the full price without tax.
Now divide $138.00 by the amount of tickets (15) to find a single ticket price before tax!
138.00/15 = $9.20
Remember to always add 1 to the tax percentage above when dividing to get the *pre-tax* price.
what is the value of the expression 3 1/4 - 1 7/8 =
What is the answer for 9+10x=9?
Answer:
x=0
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
9+10x=9
10x=9-9
10x=0
x=0
From a point P, a boy observe that the angle of elevation of the top of a pole is 45, if the height of the
pole is 15 m, find the distance of P from the foot of the pole.
Please help
Answer:
15m
Step-by-step explanation:
The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m
Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
Choose the correct algebraic expression: two plus the product of six and a number
A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)
The expression for the statement given can be written as 2 + 6n. The correct option is (B).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Suppose the required number be n.
Then, the expression for the statement can be written as follows,
Add 2 to the product of n and 6 to obtain,
2 + 6n
Hence, the required expression is given as 2 + 6n.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply
A. Graph A
B. Graph B
C. Graph
D. Graph D
E.Graph E
Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
Given four graphs of different nature as options.
We are required to find a graph that is not a continuous variable.
What is continuity?In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.
Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.
When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.
Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
Learn more about continuity at
brainly.com/question/24637240
#SPJ2
Answer: Graph B and Graph C
Step-by-step explanation:
A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.
Answer:
Rational expression
Step-by-step explanation:
A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x
A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.
Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.
Thus, the blanked statement is the definition of the rational function
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ6
Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?
If the track was a hexagon, how far would Ishmail jog in 6 laps?
Answer:
Ishmail will jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.
Ishmail will jog 9 miles if he completes 6 laps around the track, if the track is hexagon .
Step-by-step explanation:
length of one side of pentagon = 1/4 miles
we know that number of sides of pentagon = 5
thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4
If anyone takes 1 lap of pentagon he will travel 5/4 miles
then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles
thus, in 6 laps 15/2 miles will be traveled.
Ishmail will jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.
_______________________________________
we know that number of sides of hexagon = 6
thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles
If anyone takes 1 lap of hexagon he will travel 3/2 miles
then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles
thus, in 6 laps, 9 miles will be traveled.
Ishmail will jog 9 miles if he completes 6 laps around the track.
A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar graph:
Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.
Answer:
There are twice as many people who purchased a red car than a black car.
Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
thanks for the help !
Answer:
Quadrant 4!
Step-by-step explanation:
It isn't quite 2 pi, so it doesn't make it around the circle twice, making it land in quadrant 4
What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
What is the slope of the line represented by the equation y-6 = 5(x - 2)?
Answer & Step-by-step explanation:
The equation for slope-intercept form is y=mx+b
In order to solve this problem, we can just solve the equation to find y.
y - 6 = 5(x - 2)
Distribute 5 to (x - 2)
y - 6 = 5x - 10
Add 6 to both sides of the equation.
y = 5x - 4
So, the slope of the line is 5.
The required slope of the line m = 5
What is the slope of the line represented by the equation y-6 = 5(x - 2)
What is line?
line, is curve showing the shortest distance between 2 points.
Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5
Thus, The required slope of the line m = 5
learn more about lines here:
brainly.com/question/2696693
#SPJ2
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
