Answer:
18 hoursStep-by-step explanation:
This problem is on Combined work rate
Step one:
given data
let the secretary take x hours to finish one job
so the clerical worker will take 2x hours to finish one job.
Both of them working together will take 6 hours
Step two:
The combined work formula is
T/A+T/B=1
Where T= time working together
A= time the Clerical worker spent alone
B= time the secretary spent alone
substituting we have
6/2x+6/x=1
solve for x
6+12/2x=1
18/2x=1
9/x=1
cross multiply
x=9 hours
the clerical worker take 2x hours
2*9= 18 hours
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answer:D
Step-by-step explanation:
What is the vertex of the graph?
Answer:
The point (x, y) → (-5, 0) is the vertex of the graph.Step-by-step explanation:
As the given graph represents Parabola
As we know that Parabolas always contain the lowest point, or the highest point if any given parabola is upside-down. This lowest or highest point is the location where the parabola tends to change its direction and called the 'vertex'.Hence, from the given graph, we can easily determine that the parabola changes its direction at x = -5, and y = 0.
Therefore, the point (x, y) → (-5, 0) is the vertex of the graph.Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
Identify each following representation as a function or nonfunction and explain your reasoning.
Answer:
a) and c) - function, b) and d) - nonfunctionStep-by-step explanation:
As per definition, a function is such a relationship that each input has exactly one outputConsidering this we observe that:
a) functionb) not a function as input of -1 has two different outputs o and 1c) functiond) not a function as input of 0 has two different outputs 0 and 0.5Simplify:
8.7 + 3.2(2p – q) + 2.55 p
Answer:
8.95p-3.2q+8.7
Step-by-step explanation:
Answer:
8.95, 3.2, 8.7
Step-by-step explanation:
How many solutions can be found in this equation 4x - 8 - 4x = 9?
0
1
2
or infinet
Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam
Answer:
30 questions
Step-by-step explanation:
if you cross multiply and divide like this,
[tex]\frac{27}{x}= \frac{90}{100}[/tex]
27 x 100 = 2700
2700 / 90 = 30
you'll get ; 30 !
Answer:
There are 30 total questions on the exam
Explanation:
90% = 0.9
0.9 x TOTAL = 27
27/ 0.9 = TOTAL
30 = TOTAL
What is the slope??? PLEASE HELP!!!
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
I WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Suppose Triangle MNO has vertices M(-7,3), N(9,8), and 0(2,16). After a dilation centered at the origin, the coordinates of Triangle M'N'O are M'(-10.5, 4.5), N' (13.5, 12), and O' (3,24). Complete the following algebraic description so that it represents the transportation of Triangle MNO, (2, y) + (x, y) The scale factor is
Answer:
The answer is 1.5
Step-by-step explanation:
Answer:
The scale factor is = 1.5
Step-by-step explanation:
Trust me bro
Please help me ASAP
:D
Answer: I think it 616lbs not 100% sure
Step-by-step explanation:
10^2 = 100 + 64 sweet potatoes = 164
10^1 = 10+80 tangerines= 90
10^3= 300 + 62 spaghetti squash = 362
If this function is differentials at x=1/2, what is a+b?
===============================================
Work Shown:
Let
g(x) = ax^3 + 2
h(x) = bx^2 + 1
Plug x = 1/2 into each function
g(x) = ax^3 + 2
g(1/2) = a(1/2)^3 + 2
g(1/2) = (1/8)a + 2
and
h(x) = bx^2 + 1
h(1/2) = b(1/2)^2 + 1
h(1/2) = (1/4)b + 1
In order for f(x) to be differentiable at x = 1/2, the function f(x) must be continuous at x = 1/2. If we had a jump discontinuity here, then there is no way the function is differentiable here.
f(x) is continuous at x = 1/2 when g(1/2) = h(1/2).
This means,
g(1/2) = h(1/2)
(1/8)a + 2 = (1/4)b + 1
8*[(1/8)a + 2] = 8*[(1/4)b + 1]
a+16 = 2b+8
a = 2b+8-16
a = 2b-8
We'll keep this in mind for later.
--------------------------------------------------
Now let's compute the derivatives
g(x) = ax^3 + 2
g ' (x) = 3ax^2
h(x) = bx^2 + 1
h ' (x) = 2bx
Now plug in x = 1/2
g ' (x) = 3ax^2
g ' (1/2) = 3a(1/2)^2
g ' (1/2) = (3/4)a
and
h ' (x) = 2bx
h ' (1/2) = 2b(1/2)
h ' (1/2) = b
Equate the two items. We do so because we want f(x) to be differentiable at x = 1/2, so that means g ' (1/2) = h ' (1/2)
So,
g ' (1/2) = h ' (1/2)
(3/4)a = b
3a = 4b
a = (4b)/3
--------------------------------------------------
Earlier we found a = 2b-8.
Since both a = 2b-8 and a = (4b)/3, this means we can equate the right hand sides to solve for b
2b-8 = (4b)/3
3*(2b-8) = 3*(4b)/3
6b-24 = 4b
6b-4b = 24
2b = 24
b = 24/2
b = 12
Which leads to
a = 4b/3
a = 4*12/3
a = 48/3
a = 16
--------------------------------------------------
The piecewise function
[tex]f(x) = \begin{cases}ax^3+2, \ \ x < \frac{1}{2}\\bx^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]
will update to
[tex]f(x) = \begin{cases}16x^3+2, \ \ x < \frac{1}{2}\\12x^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]
To verify f(x) is differentiable at x = 1/2, you should check to see if both pieces evaluate to the same output when you plug in x = 1/2. In other words, you should check to see if g(1/2) = h(1/2).
Also, you should check to see if g ' (1/2) = h ' (1/2) so that f(x) is fully differentiable here. I'll let you do the check portions.
--------------------------------------------------
After getting our a and b values, we can finally say that
a+b = 16+12 = 28
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answer:
2.57575758
Explanation:
42.5 / 16.5
1. Which of the following is the equation of a line that has a slope 5 and passes through the point
(3,- 7)?
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
point (3,-7)
m = 5
Solution
y - y1 = m(x - x1)
y - (-7) = 5(x - 3)
y + 7 = 5x - 15
y = 5x - 15-7
y = 5x-22
Answer
The equation in point-slope form that passes through the point (3,-7)and has a slope of 5 is line Y=5x-22
7 earn 5 coins
The formula for finding the volume of a cube is V = s3 squared, where s is the length of one side. What is the
volume, in cubic units, of a cube with side length 3 units? Round to the nearest hundredth when
necessary.
3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?
======================================================
Explanation:
Let's say that the company is valued at $300 just as a simple example.
Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.
A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.
After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.
------------------------
So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.
Let
x = old price per share
y = new price per share
So x happens before the split and y is after the split.
For a 3-to-1 split, we can form this equation
y = (1/3)x
which solves to
x = 3y
when we multiply both sides by 3
We know that y = 39.24, which means,
x = 3y
x = 3*39.24
x = 117.72
The pre-split price per share was $117.72
------------------------
So in short, all we did was multiply the given number (39.24) by 3.
Plz help with these 2 questions plz it depends on my grade
for the penny one i need the equation for one of the answers
Answer:
Yes
Step-by-step explanation:
2 pennies and 3 dimes = 60 cents
I penny = 1 cent
1 dime = 10 cents
Express in the form n:1 ratio
16:8
PLEASE HELP!!!!!!!!!!!!!!!!! Write the equation of the line perpendicular to y=3/4x+9/4 that passes through the point (-5, 2)
Answer:
y = -4/3x - 6
Step-by-step explanation:
1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.
2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).
3. Simplify. The simplified equation would be y = -4/3x - 6.
Answer: y = -4/3x - 6
Please help!!! 40 points and will give brainliest!!
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
If you add all four together, you get a %400 increase
Which sets of values belongs to the domain and range of a relation
full answer:
As we know that
The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
As
The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
first to answer correctly gets brainleist! I need ya to find the slope for me!
Answer:
m=-1
Step-by-step explanation:
The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(0-4)
m=4/-4
m=-1
(01.06) Select the choice that translates the following verbal phrase correctly to an algebraic expression: the sum of y and 7
Answer:
y+7
Step-by-step explanation:
Sum is referring to addition, and the 2 parts would be y and 7, so the answer is y+7
3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *
A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units
Answer:
C
Step-by-step explanation:
To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!
A bag contains lollipops and ring pops The ratio of lollipops to ring pops is 7 to 9. If there are 496 total pieces of candy in the bag. How many more ring pops are there than lollipops?
Answer:
Step-by-step explanation:
7:9
If you have 496 then you'll have 217:279, it adds up to 496.
279-217
62 more
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.875
Step-by-step explanation:
For 1 hour you get $7.75
To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.
28.5 * 7.75
$220.875
Rewrite this sentence using BOTH a DOP and an IOP.
Voy a dar una naranja a Juan.
Answer:
Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar
Step-by-step explanation:
A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of 1/4 of an inch. They have a choice of which type of paper to print the book on. Bond paper has a thickness of 1/4 inch per one hundred pages. Write an equation for the width of the book, y, if it has x hundred pages, printed on bond paper.
Answer:
1/4x+1/4y=?
Step-by-step explanation:
The graph below shows the height of a hot air balloon during a trip. What are the variables? Describe how they are related at various points
on the graph.
Answer:
The answer is A. I just took the quiz and the answer choices are the same. Question 2 is A as well.
Step-by-step explanation:
The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The graph represents the height of the balloon with respect to time.
The positive slope represents the rise of the balloon and the negative represents the downfall of the balloon.
The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What would happen to the product in the following problem:
25×11/11
A.The product will increase
B.The product will decrease
C.the product will stay the same
Determine if the two triangles are congruent.
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.