Answer:
it's got unlimited solutions
Step-by-step explanation:
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Answer:
[tex]y = 36 - \frac{3}{4}x[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]h = 36in[/tex] --- height of rails
The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]
Required
The function
First, we represent the rate (r) as a fraction.
[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases
Simplify
[tex]r = -\frac{3}{4}[/tex]
So, the function is:
[tex]y = h + r * x[/tex]
Where:
[tex]x \to[/tex] distance from top
So, we have:
[tex]y = 36 - \frac{3}{4}x[/tex]
(1) At the local nursery, 1/2 of the plants for sale are flowers and another 1/10 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Answer:
6/10
Step-by-step explanation:
Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.
We can find a total amount of plants that are either flowers or bushes by combining the two.
Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.
[tex]\frac{1}{2} +\frac{1}{10}[/tex]
[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]
[tex]\frac{5}{10} +\frac{1}{10}[/tex]
[tex]\frac{6}{10}[/tex]
This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.
I hope this helped :)
NEED HELP; A group of friends goes out to dinner. The total bill, without tax, is $63. If tax on the meal is 6% and if an 18% tip is left on the $63 total bill, what is the total amount paid?
A. $78.12
B. $78.80
C. $66.78
D. $74.34
PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.
Answer:
Did you find them ?
Step-by-step explanation:
If a + b = 2 and a - b = -4 what is the value of ab A. 5 B. -5 c.3 D. -3
Answer:
D
Step-by-step explanation:
Given the 2 equations
a + b = 2 → (1)
a - b = - 4 → (2)
Add the equations term by term to eliminate b
2a + 0 = - 2
2a = - 2 ( divide both sides by 2 )
a = - 1
Substitute a = - 1 into (1) and solve for b
- 1 + b = 2 ( add 1 to both sides )
b = 3
Then
ab = - 1 × 3 = - 3 → D
Answer:
option d
Step-by-step explanation:
a+b=2. ,. a-b = -4
a= 2-b
substituting values, we get
(2-b) - b = -4
2 -b -b =-4
2 -2b =-4
-2b = -4-2
2b= 6
b =3
a = 2-3
a= -1
ab = 3×-1
ab = -3
Can someone help me with this.
Answer:
A' (-1, 1), B' (-2,1), C'(-2, 2), D'(-1, 3)
Step-by-step explanation:
Rotate all of the points 90 degrees clockwise and move them to the second quadrant.
Which expression is equivalent
Answer:
[tex]\sqrt[6]{2\\}[/tex]
Step-by-step explanation:
Rewriting
2 ^1/2 ÷ 2 ^ 1/3
We know a^ b ÷ a^c = a^ (b-c)
2 ^ (1/2 -1/3)
Getting a common denominator
2^ ( 3/6 - 2/6)
2^ 1/6
[tex]\sqrt[6]{2\\}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:
[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]
Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:
[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]
We just need to subtract 1/3 from 1/2 to get:
[tex]2^{\frac{1}{6} }[/tex]
This is the same as the 6th root of 2, which is the second option.
Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable
expenditure. The capital of the two
partners together is given by polynomial 6x+10x -35, which is the product of
their individual share factors.
On the basis of the above information,
answer the following questions.
i) The total expenditure of Vicky and Love
when x = 10 is (in )
(a) 375 (b) 475
(c) 575 (d) 675
(ii) The shares of the Vicky and Love
individually is
(a) 2x +7, 3x -
5
(b) 3x -5, 2x +7
(c) Both (a) and (b)
(d) None of the above
(iii) The value of x, when their shares are
equal
(a) 12 (b) 10
(c) 8 (d) 6
(iv) The value of x, when their total share is
equal tob0
7
(a)- (b) 3
(c) Both (a) and (b) (d) None of these
(v) The sum of their expenditure is
(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2
Given m||n, find the value of x.
Answer:
x = 15
Step-by-step explanation:
The two angles add to a straight line, so they add to 180
6x-5 + 6x+5 = 180
Combine like terms
12x = 180
Divide by 12
12x/12 =180/12
x =15
Answer:
x = 15
Step-by-step explanation:
Two angles are supplementary and their sum is 180
6x + 5 + 6x - 5 = 180 add like terms
12x = 180 divide both sides by 12
x = 15
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the description of this situation?
Answer:
Is that it's not about the answers and the questions
What is the value of the rational expression
2x+1
when x = 5?
Step-by-step explanation:
2x+1
x = 5
2(5)+1
=10+1=11
Answer:
2(5)+1
10+1
11
Hope This Helps!!!
In a community of 9,400 people the number of women exceeds the number of men by 1,500.Find the ratio of men to women in the community
Answer:
Step-by-step explanation:
x +(x+1500) = 9400
2x + 1500 = 9400
2x = 7900
x=3950 (men)
y = 5450 (woman)
5450 :3950
109:79
HELP ASAPPPP!!!!!!!
Find the y-intercept of the line y-7x= -3
Answer:
y - intercept = - 3
Step-by-step explanation:
The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.
Given :
y - 7x = - 3
y = 7x - 3 [ convert to standard line equation form ]
Therefore , y - intercept = - 3
Answer:
-3
This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.
Type the correct answer in each box.
Find value of x 4(x+6)° (5x+11)°
Value of x = 13°
Hope it helps you...
What is the completely factored form of this polynomial?
x^4- 8x^2 + 16
A. (X+2)^2(x-2)^2
B. (x^2-4)^2
C. (x^2+4)(x+2)(x-2)
D. (x+2)(x-2)
Answer:
A. (x + 2)²(x - 2)²
Step-by-step explanation:
x⁴ - 8x² + 16 =
(x² - 4)(x² - 4) =
(x - 2)(x + 2)(x - 2)(x + 2) =
(x - 2)²(x + 2)²
holaaandaaa cuanto es 22+22
Step-by-step explanation:
22+22=44
Es una pregunta fácil, incluso un niño pequeño puede responder a esto.
John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?
Answer:
61.6 dollars
Step-by-step explanation:
So, lets go over what we know:
The shows orginally cost 88 dollars.
They are 30% less than that.
This basically means that the shoes will cost 70 percent of their orginal price.
We can basically find the new cost by multiplying the 88 dollars by the 70 percent.
Or, multiplying 88 by 0.7, which is the decimal form of 70%.
88*0.7=61.6
How did I get this?
Multiply 80 by 0.7:
7*8=56
We have 0.7 so it = 5.6
However, it's tens place is 80, not 8, so it will be = 56
It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8
= 5.6
56+5.6=61.6
So 61.6 is our answer.
Hope this helps!
Answer:
$61.60
Step-by-step explanation:
the other answer is correct.
just to add some explanation about the % considerations.
we know $88 is 100%
in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).
so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.
70% = (100% / 100) × 70 = 100% × 70 / 100
70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)
70% = 100% × 0.7
70% = $88 × 0.7 = $61.60
PLZ HELP ITD MEAN THE WORLD
dude its just 3 rooms. yes
Answer:
3 rooms
Step-by-step explanation:
For 1 1/4 rolls of electric wire = 1 room
For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4
= 15/4 ÷ 5/4
= 15/4 x 4/5
= 15/5
= 3 rooms
Help and explain pls and thankyouuuuuu
Answer:
shhsksbsvsvdbdhsbs. c
9514 1404 393
Answer:
(d) -3
Step-by-step explanation:
Put the number into the expression and do the arithmetic.
f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7
f(g(-2)) = -3
What is the solution to the equation below? Round your answer to two decimal places. 6+7 • log2 x = 21
A. x = 4.42
B. x = 3.06
C. x = 2.61
D. x = 4.59
answer is A. X = 4.42
Step-by-step explanation:
6+ 7•log2 x = 21
7.log2 x = 21-6
7. log2 x = 15
log2 x = 15/7
x = 2^(15/7)
x = 4.416 = 4.42
Find the area of the shape.
Answer:
Step-by-step explanation:
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
(I have to leave for school in 15 minutes please)
Select the correct answer.
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
OA
0
OB. 1
OC. 2.
OD 3
Reset
Next
© 2021 Edmentum. All rights reserved.
o
.
Answer:
1
Step-by-step explanation:
An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.
If i= square root of -1, what is the value of i^3
Answer:
[tex] - i[/tex]
Step-by-step explanation:
Set up equation.
[tex]i {}^{3} = y[/tex]
[tex] {i}^{2 } \times i = y[/tex]
[tex] - 1 \times i = y[/tex]
[tex] - i = y[/tex]
Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?
Answer: $8.97
Step-by-step explanation:
he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three
$0.75 * 3 = $2.25
so henri saved $2.25 in total
we can add that to what he paid to find the original cost
$6.72 + $2.25 = $8.97
so the original price was $8.97 :)
Can someone help i'm struggling!
Answer:$499.20
Step-by-step explanation:
12% of 960 = 115.20
115.20 x 4
= 460.80
960 - 460.80
= $499.20
Answer:
Step-by-step explanation:
960(.88)^4 = $575.71
answer is A
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Please help it's fricking urgent
Answer:
Kaden had $17 at first
Step-by-step explanation:
Ben = x
Kaden = x - 10
x + 4
x - 10 + 4 = x -6
x - 6 = [tex]\frac{7}{9}[/tex] x
9(x - 6) = 7x
9x - 54 = 7x
2x = 54
x = 27
x - 10 = 27 - 10 = 17
Answer:
Kaden had $31
Ben had $41
Step-by-step explanation:
k = b - 10
k + 4 = (7/9)(b+ 4)
Substitute for k = b - 10
(b - 10) + 4 = (7/9)(b+ 4)
b - 6 = (7/9)(b+ 4)
multiply by 9 to clear the fraction
9b - 54 = 7(b + 4)
Distribute
9b - 54 = 7b + 28
subtract 7b from both sides
2b - 54 = 28
Add 54 to both sides
2b = 82
Divide both sides by 2
b = 41
k = b - 10
k = 31
A used automobile dealership recently reduced the price of a used compact car by %. If the price of the car before discount was $, find the discount and the new price.
Answer:
$1674
$16926
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?
Discount = percentage discount x original price
0.09 x $18,600 = $1674
New price = original price - discount
$18,600 - $1674 = $16926
