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The blueprints say that 1 inch represents 10 feet. This means we can form the equation below
1 inch = 10 feet
Of course 10 feet is much larger than 1 inch, so they cannot be actually equal to one another, but it helps tie together the two quantities. And it also allows us to multiply both sides by 3 to get
3 inches = 30 feet
So 3 inches on paper means we have 30 feet in real life.
Similarly,
1 inch = 10 feet
5.5 inches = 55 feet (multiply both sides by 5.5)
The 3 inch by 5.5 inch rectangle on paper corresponds to a 30 feet by 55 feet rectangle in real life.
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In short, you multiply each given dimension by 10
3 inches goes to 3*30 = 30 feet
5.5 inches goes to 5.5*10 = 55 feet
If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
Answer:
-27/4Step-by-step explanation:
Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.
Factorizing the resulting equation to get the roots
x²- 5x + 4 = 0
(x²- x)-(4 x + 4) = 0
x(x-1)-4(x-1) = 0
(x-1)(x-4) = 0
x-1 = 0 and x-4 = 0
x = 1 and x = 4
Since a and b are known to be the root then we can say a = 1 and b =4
Substituting the given values into the equation 1/a+1/b-2 ab , we will have;
= 1/1 + 1/4 - 2*1*4
= 1 + 1/4 - 8
= 5/4 - 8
Find the Lowest common multiple
= (5-32)/4
= -27/4
Hence the required value is -27/4
If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.
Answer:
c≈25.13
Step-by-step explanation:
i need answers because it's very hard i need to pass.
Answer:
whats the question
Step-by-step explanation:
A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1
Answer:
264.89cm^2
Step-by-step explanation:
CSA of cylinder=πrl
= 3.1 × 7 ×√149
= 264.89cm^2
A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points. Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds. What is the domain? {t| 0 ≤ t ≤ 3} {t| 0 ≤ t ≤ 48} {t| 0 ≤ t ≤ 64} {t| all real numbers}
Answer:
{t| 0 ≤ t ≤ 3}
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
It right on edge 2020
Calculate the interest earned and total amount of money for the following: 1. Principal: $4,500 Interest: 7% 2. Principal: $1,500 Interest: 4% 3. Principal: $7,500 Interest: 3%
-5(4x-2)=-2(3+6x) multi step equation
Answer:
X=2, please mark me brainliest
Step-by-step explanation:
−5(4x−2)=−2(3+6x)
(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)
−20x+10=−6+−12x
−20x+10=−12x−6
Step 2: Add 12x to both sides.
−20x+10+12x=−12x−6+12x
−8x+10=−6
Step 3: Subtract 10 from both sides.
−8x+10−10=−6−10
−8x=−16
Step 4: Divide both sides by -8.
−8x
−8
=
−16
−8
x=2
Express 4 tickets for $25 as a unit rate
Unit rate is the amount it costs for 1.
Divide total cost by number bought:
25/4 = 6.25
Unit price = $6.25 per ticket
Z A deep-sea diver is exploring a ship at a depth of 200 below sea
level The diver decends at a rate of -15 feet per minute. How deep
was the diver at 12 minutes?
Answer:
The diver was -180 feet below sea level at 12 minutes.
Step-by-step explanation:
Multiply -15 by 12 and you should get -180.
Allison wants to buy a skirt that has a regular price of $30. The skirt is on sale for 1/5 off the regular price. Allison has a coupon that will take 1/10 off the sale price. There is no sales tax on clothing. If Allison pays with a $50 bill, how much change will she receive? (Note: Express the answer as dollars.cents.)
Answer:28.4
Step-by-step explanation:
The amount of change received is $28.4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Regular price = $30
Selling price = (30 - 1/5 x 30) = 30 - 6 = $24
Coupon off = 1/10 x 24 = 2.4
The amount the shirt was bought.
= 30 - 6 - 2.4
= 30 - 8.4
= 21.6
The change was received.
= 50 - 21.6
= $28.4
Thus,
$28.4 is received as changed.
Learn more about expressions here:
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PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.
PLEASE HELP!!! TRIG, Theres a picture!!
Answer:
The answer is option CStep-by-step explanation:
[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]
Using trigonometric identities
That's
[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]
Rewrite the expression
That's
[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]
Simplify
We have
[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]
So we have
3( - 1)
We have the final answer as
- 3Hope this helps you
Find the distance from D (-6, -2) to T (7,-8)
Answer:
(13, 6)
Step-by-step explanation:
Step 1:
Make turn everything into absolute value. Which makes it positive.
Step 2:
6 = 7 = 13
Step 2:
8 - 6 = 4
Answer:
(13, 6)
Hope This Helps :)
Joseph grew 2 centimeters in 12 weeks how much is this in inches per year
Answer:
About 3.41 inches per year
Step-by-step explanation:
2 cm per 12 week
52 weeks in a year
52/12 = about 4.33
2 cm * 4.33 = about 8.67 cm
2.54 cm = 1 inch
8.67/2.54 = about 3.41 inches per year
Hope this helps!
(pls mark brainliest)
2 perfect squares of 102
Step-by-step explanation:
102^2 = 10404
102×102=10404
(look at the images) can i get help on these?
Answer:
see explanation
Step-by-step explanation:
15
JK + KL = JL , substitute values
2x + 1 + 6x = 81, that is
8x + 1 = 81 ( subtract 1 from both sides )
8x = 80 ( divide both sides by 8 )
x = 10
Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21
KL = 6x = 6 × 10 = 60
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16
JK + KL = JL , substitute values
2x + x + 2 = 5x - 10 , that is
3x + 2 = 5x - 10 ( subtract 3x from both sides )
2 = 2x - 10 ( add 10 to both sides )
12 = 2x ( divide both sides by 2 )
6 = x
Thus
JK = 2X = 2 × 6 = 12
KL = x + 2 = 6 + 2 = 8
JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20
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17
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)
d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]
= [tex]\sqrt{(-6)^2+(-8)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex] = 10
Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9
Answer:
Step-by-step explanation:
subtraction
Answer:
distributive property
Step-by-step explanation:
3c+ 9 + 4c = 3c + 4c + 9 A: distributive property
Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3
In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A. 35° B. 90° C. 145° D. 180°
Answer:
Could you please add a diagram? Or at least say how C is related to B?
Like is C an alternate angle to B or anything?
Step-by-step explanation:
A diagram would really help.
Answer:
145
Step-by-step explanation:
180-35=145
Steven reads 6 books each month as part of his book club. If Steven has read 18 books so far, how many months has he been with his book club?
Answer:
3
Step-by-step explanation:
18/6 is 3
what is the answer of 10 times 10
Answer:
1000
Step-by-step explanation:
10x10=100
Answer: 100
Step-by-step explanation:
10 × 10=100
Or...
You can remember as whenever you time something with 10, you add an 0 at the end to the first number
98 × 10=980 ⇔ you simply just add an zeroMatch the expression on the left with the expression on the right with the same sum or product.
5.9
4 +3
3 + 4
(7.2).5
7 (
25)
9.5
3+ (4+5)
(3 + 4) + 5
Answer:
5 * 9 --> 9 * 5
3 + (4+5) --> (3+4) + 5
3 + 4 --> 4 + 3
7 * (2*5) --> (7*2) * 5
Step-by-step explanation:
If you look at them correctly, you can see where this is going. This question of matching is using commutative property.
Your Welcome :)
Answer:
5.9 * 9 —— 9*5
7*(2*5) —— (7*2)*5
3+(4+5) ——(3+4)+5
3+4—— 4+3
Step-by-step explanation:
got the question correct
If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?
Answer:
the shoes cost $134.43 with tax
Use the Symmetry of a Function to Find Coordinates f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.
Answer:a=4 b=3
Step-by-step explanation:
Tbh I just guessed and got them
The requried value of the unknowns in the function is given as a = 4 and b = 3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
As mentioned in the question,
For even function table is given,
x ⇒ -2, 0, 2, 3
f(x) ⇒ 4 5 a 7
For even function,
f(x) = f(-x)
From table,
f(2) = f(-2) = 4
So, a = 4
For odd functions,
f(-x) = -f(x) [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]
Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.
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Solve for p in the literal equation 7p + 9r = 9.
p =
Answer:
p = -7
Step-by-step explanation:
7p + 9r = 9
-9 -9
7p = 0
-7 -7
p = -7
what are the solutions to the quadratic equation?2x^2+7x+6=0
Answer:
x=-3/2,-2
using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions
The first five terms in a pattern are shown below.
3, -3, -9, -15, -21, ...
If the pattern continues, which expression can be used to find the nth term?
Answer:
-45 because it is the nth term in the sequence just trust me.. ;) Please vote Brainliest!
Step-by-step explanation:
Answer:
The answer is -45
Step-by-step explanation:
Mrs. Bowman spent $110 to rent a popcom machine for the school
carnival and $75 to buy popcorn, oil, and other supplies. If she sold
263 bags of popcorn for $1.50 each, how much money did she make after paying for the machine and the supplies?
Answer:
200 minutes I am getting poi tea yayyyy
Answer:
$209.50
Step-by-step explanation:
First, find how much she made selling the popcorn:
263(1.5)
= 394.50
Then, find how much she spent on supplies and the machine:
110 + 75
= 185
Subtract the expenses from the profit:
394.50 - 185
= $209.50
what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?
what is the round up form of 52.149 in the nearest hundreths
Answer:
52.15
Step-by-step explanation:
52.149
Since last digit is 9,
The tenth digit, which is 4 gets rounded to 5.
Therefore answer: 52.15
Answer: 52.15
Step-by-step explanation: you would round to .05 because the 9 is bigger than five. greater than five round up less than 4 keep the same :) hopes this helps