Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.
Answer:
Step-by-step explanation:
Which store has the best buy on king-size candy bars?
square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?
Answer:
y/x
Explanation:
The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.
Given constant of proportionality= k
Side of the square= x
Perimeter of the square= y
constant of proportionality=k=y/x
For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4
Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?
it should be
9x+1y+8
^it could be just y instead of 1y
Answer:
the answer is = 9x+y+8
Step-by-step explanation:
...
A farmer has developed a new type of fertilizer. This new fertilizer costs 20
percent more to produce than the old fertilizer but has better results: The
same land now produces 25 percent more crops each year.
Which statement best describes one way the farm will be affected by using
this new fertilizer?
A. The farm's marginal cost for fertilizer will decrease.
B. The farm's marginal cost for fertilizer will increase.
C. The farm's opportunity cost for using fertilizer will decrease.
D. The farm's opportunity cost for using fertilizer will increase.
Answer:
A
Step-by-step explanation:
Marginal cost is the change in total cost as a result of increasing output by one unit
Marginal cost = Δcost / Δquantity
0.2 / 0.25 = 0.8
The marginal cost would decrease because the change in output is higher than the change in total cost
Marginal benefit would increase
Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost
What are the domain and range of the function f(x)= x+5?
Answer:
top answer, domain and range have no restrictions
Step-by-step explanation:
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
What is the approximate area is the shaded sector in the circle shown below?
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
Show that √2 is an irrational numbe.
Answer:
[tex] \sqrt{2} =1.41421356237...[/tex]
Answer:
The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.
...
A proof that the square root of 2 is irrational.
2 = (2k)2/b2
b2 = 2k2
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
a + x = -3 với a = 5 . Tìm x
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...Find the scale factor and determine the type of the dilation.
Please help me solve my problem!!!
Answer:
180(n-2) or B
Step-by-step explanation:
Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?
Answer: 10.75 currency units
Step-by-step explanation:
The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.
Use direct proportion to solve:
8 : 3
x ; 4.03
Cross multiply to get:
3x = 32.24
x = 32.24 / 3
x = 10.75 currency units
Evaluate 4-2 f when f= 1.
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[tex]\boxed{ \sf{Answer}}[/tex]
⏩ Substitute the value of 'f' in the equation.
[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]
⏩ The answer will be 2.
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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
╰══ღ❦ღ═══════╯
Answer:
2
Step-by-step explanation:
If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.
Hope that this helps!
help me plzzzzzzzzzzz
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
Annabelle cuts 2 feet from a 5-foot length of rope. Then she cuts 17 inches from the rope. How many inches of rope are left?
Answer:
1.58feet
Step-by-step explanation:
Given data
Total lenght of rope= 5 feet
She cuts 2 feet
Remainder= 5-2= 3feet
Now let us convert 17inches to feet
from tables, 17inches is 1.41667feet
Hence the amount of rope now left is
=3-1.41667
=1.58feet
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
if def geh solve for x
Answer:
huh???
Step-by-step explanation:
Question 9 of 10
In the diagram below, AB is parallel to CD. What is the value of y?
A. 50
OB. 150
ООО
C. 30
D. 60
Answer:
30°
Step-by-step explanation:
it is the alternating angle.
A quadratic polynomial whose zeroes are -6 and -7 is
Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4
Answer:
I think it would be 36, if you use Area=Length×Width×Height
What must be added to f(x) = 4x4 + 2x3 -2x2 +x - 1, so that the resulting polynomial is divisible by g(x) = x2 +2x -3?
Answer:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Step-by-step explanation:
We want to find a polynomial p(x), such that if we add that polynomial to:
f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1
we get:
g(x) = x^2 + 2*x - 3
This is:
f(x) + p(x) = g(x)
Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.
p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e
Then we get:
(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3
We can simplify the left side to:
(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) = x^2 + 2*x - 3
Because in the right side we do not have terms with exponent 4 and 3, we must have that:
4 + a = 0
2 + b = 0
and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:
(-2 + c) = 1
(1 + d) = 2
(-1 + e) = -3
Solving the 5 equations we get:
a = -4
b = -2
c = 1 + 2 = 3
d = 2 - 1 = 1
e = -3 + 1 = -2
Then the equation for p(x) is:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
which value from the set{2,14,16,63}makes the equation n-7=9 true
Answer:
16.
Step-by-step explanation:
n - 7 = 9
Add 7 to both sides
n = 9 + 7 = 16.
Answer:
16
Step-by-step explanation:
Given
n - 7 = 9 ( add 7 to both sides )
n = 16
2w - 5 = 8
W =
Plllssssss helppoo
Answer:
w = 13/2 or 6.5
Step-by-step explanation:
2w - 5 = 8
Add 5 to each side
2w - 5+5 = 8+5
2w = 13
Divide by 2
2w/2 = 13/2
w = 13/2 or 6.5
Answer:
13/2
Step-by-step explanation:
the steps are in the screenshot attached.
1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a
Given the function
F(x)=
Answer:
Replace all the (x) values with the Values "-1, 0, 2" to get your answers
Step-by-step explanation:
4(-1)+4 (-1) < 0
f(-1)= 4(-1)+4 (-1) > 0
f(-1)= 4x+4 x < 0
f(0)= 4x +8 x>/_ 0
f(2)= 4x +8 x>/_ 0
Can someone help me with this, Thx!
Answer:
x = 45
Step-by-step explanation:
x = 20 + 25
as x is vertically opposite to GED
and vertically opposite angles are equal
What are the real roots of the function in the graph?
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
