what is 314.16 rounded to the nearest hundredth
Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:
314.16
Hope it helps! Good luck. :)
please help i have no clue
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
Algebraically solve the following system of equations. Show all of your work.
2x+5y=3
3x-2y=14
Answer:
x=−5/2 y+ 3/2
Step-by-step explanation:
Let's solve for x.
2x+5y=3
Step 1: Add -5y to both sides.
2x+5y+−5y=3+−5y
2x=−5y+3
Step 2: Divide both sides by 2.
2x/2
=
−5y+3
2x=
−5y+ 3/2
Answer:
x=−5/2 y+ 3/2
Answer:
x =4 , y = -1
Step-by-step explanation:
I used substitution method.
Hope I was able to help . Good luck!
I need help can you?
Answer:
Step-by-step explanation:
Statements Reasons
1). m∠QPS = m∠TPV 1). Given
2). m∠QPS = m∠1 + m∠3 2). Angle addition postulate
m∠TPV = m∠2 + m∠4
3). m∠1 + m∠3 = m∠2 + m∠4 3). Given
4). m∠1 = m∠2 4). Given
5). m∠1 + m∠3 = m∠2 + m∠4 5). Subtraction property
m∠3 = m∠4
Which values of m make 1/4 m > 3 true ?
Answer:
m > 12
Step-by-step explanation:
I) Find what m is in 1/4m = 3:
1/4m = 3
Divide by 1/4:
m = 12
II) Make an inequality:
m > 12
Please help me ASAPPPPPP
Answer:
Step-by-step explanation:
4). Surface area of front and back = 2(lengh × height)
= 2(7×3)
= 63 cm²
Surface area of top and bottom = 2(length × width)
= 2(8×7)
= 112 cm²
Surface area of left and right = 2(width × height)
= 2(8×3)
= 48 cm²
Total surface area = 63 + 112 + 48
= 223 cm²
5). Surface area of top and bottom = 2πr²
= 2π(4)²
= 32π
= 100.53 cm²
Surface area of middle = h(π × d)
= 4(π × 8)
= 32π
= 100.53 cm²
Total surface area = 32π + 32π
= 64π
= 201.06 cm²
6). Surface area of front and back = [tex]2[\frac{1}{2}(\text{Base})(\text{Height)}][/tex]
= Base × Height
= 6 × 8
= 48 cm²
Surface area of bottom = 6 × 11
= 66 cm²
Surface area of the left = 8 × 11
= 88 cm²
Surface area of right = 10 × 11
= 110 cm²
Total surface area = 48 + 66 + 88 + 110
= 312 cm²
Help plz it’s a test quest-
A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of
the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the
dimensions of the backyard, where the length is / and the width is w?
0=w/2+5.2w -51
0=/2+5.2/-51
4w +10.451
4/+10.4 = 51
Answer:
0=w^2-5.2w-51
Step-by-step explanation:
51=width x length
length=width-5.2
substitute for length
51=width x (width-5.2)
51=w^2-5.2w
0=w^2-5.2w-51
How can i identify a slope
Answer:
Rise over Run.
Step-by-step explanation:
If it's on a line on a graph you count how many it goes up until it's aligned with the next point and then you count how ever many over until it hits it. So it could be 2 up and 4 over making the slope 2/4.
I'm sorry that might not make much sense I'm bad at explaining but let me know if that helps at all!!
14 and 15, please. I don’t really understand.
Answer:
14) 9.2 15) 12.9
Step-by-step explanation:
14) cos(52) = x/15
x = 15cos(52)
x = 9.2349
x = 9.2
15) cos(22) = 12/x
x = 12/cos(22)
x = 12.9424
x = 12.9
Hillside orchard grows Fiji apples and Gala apples. There are 160 Fiji apple trees and 120 Galla apple trees in the orchard. Hillsides Orchers owners decide to plant 30 new gala apple trees. find the number of new Fiji apple trees the owner should plant if they want to maintain the same ratio of Fiji apple trees to gala apple trees
The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.
RatioRatio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
The ratio of Fiji apple to Gala apple = 160 : 120 = 4 : 3
If 30 new gala trees are planted, hence the number of gala trees increases to 150 (120 + 30). To maintain the same ratio:
Number of fiji apple = (4/3) * 150 = 200
New Fiji apple trees = 200 - 160 = 40
The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.
Find out more on Ratio at: https://brainly.com/question/2328454
The picture says it all ty! <3
Answer:
only Katie is right
Step-by-step explanation:
first, find the nth rule using the equation n = a + (n - 1)d
a = first term (here, it's 22)
n = the position of a term
d = the constant difference between each term (here, it's -5 since each term reduces by 5)
put these in and then simplify:
n = a + (n - 1)d
n = 22 + (n - 1)(-5)
n = 22 - 5n + 5
n = -5n + 27
this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!
Answer: Only Katie
Reason: Only Katie is correct!
PLS HELP | WILL BE GIVING BRAINLIEST(CROWN)
Answer:
A.8 possible outcomes
B. The probability of getting no heads is 1 of 8
C. it's clear that 1/2 the outcomes result in at least 2 tails.
Step-by-step explanation:
What are the solutions to [tex]16x^2-12x=54.[/tex] ,Select all that apply.
A) -9/2
B) -9/4
C) -3/2
D) -3/4
E) 3/4
F) 3/2
G) 9/4
Thank you! Also I'd like to see it worked out.
How would you write this as an expression?
A number is no more than 8
Answer choices
≤
≥
<
>
=
Evaluate acb−(a+d) if a=−2 , b=3 , c=−12 , and d=−4 .
Answer:
78Explanation:
acb − (a + d)
a = -2b = 3c = -12d = -4= (-2) (-12) (3) - (-2 + -4)
Parenthesis: (-2 + -4) = -6
= (-2) (-12) (3) - (-6)
Simplify (-2) (-12) (3): 72
72 - (-6)
78if a=−2 , b=3 , c=−12 , and d=−4 for expression acb−(a+d) then its value is 78.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is acb−(a+d)
a times c times b minus a plus d
The values of a, b, c and d are given.
In the given expression a,b,c and d are variables and plus and minus are operators
a=−2 , b=3 , c=−12 , and d=−4 .
Substitute these values in expression acb−(a+d)
(-2)(-12)(3)-(-2+(-4))
When minus is multiplied two times we get positive, if three times we get negative
72-(-2-4)
72-(-6)
Seventy two plus six
72+6
Seventy eight
78
Hence if a=−2 , b=3 , c=−12 , and d=−4 for expression acb−(a+d) then its value is 78.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Find the value of x in the acute scalene triangle that has the angles 114° and 37°
To go to the park, It costs $4 plus $3 per child. Which equation shows this situation
where x represents the number of children
Answer:
y = 3x + 4
Step-by-step explanation:
Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.
Can someone help me please ?
Write the slope-intercept form of the equation of the line.
slope = -10, y-intercept = 5
Write the slope-intercept form of the equation of the line.
through: (-5,-1), slope = 2/5
Write the slope-intercept form of the equation of the line.
through: (5,0) and (-5,2)
Write the slope-intercept form of the equation of the line.
through: (-5,0), parallel to y = -x + 2
1
Write the slope-intercept form of the equation of the line.
through: (4,1), perpendicular to y = -2x + 5
Answer:
y = -10x + 5 and y = 2/5x + 1
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
for your first problem, just plug in the m and b values to complete the equation.
1.) y = mx + b ⇒ y = -10x + 5
plug in -10 for x (slope) and 5 for b (y-intercept)
and for the second problem...
since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)
1.) plug in -1 for y
y = mx + b ⇒ -1 = mx + b
2.) plug in 2/5 for m
-1 = mx + b ⇒ -1 = 2/5x + b
3.) plug in -5 for x
-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b
now it's time to solve for b! start by multiplying 2/5 and -5.
-1 = 2/5(-5) + b ⇒ -1 = -2 + b
add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.
and you're left with 1 = b! :)
therefore, y = 2/5x + 1
i hope this helps! have a great day <3
PLS I REALLY NEED HELP!!!! I have no idea what I’m doing even though I got the answer pls!! BRAINLY AND 50 pointd
Answer:
I think you're doing one of these
√a square root √a ⋅ √a = a √9 = ±3
3√a cube root 3√a ⋅ 3√a ⋅ 3√a = a 3√8 = 2
4√a fourth root 4√a ⋅ 4√a ⋅ 4√a ⋅ 4√a = a 4√16 = ±2
n√a n-th root (radical) n/a for n=3, n√8 = 2
well let me know :)
There are 3,000 pizzas at the hotel. If each zombie eats 15 pizzas, how many zombies are there? А B C 20 200 45,000
Answer:
200
Step-by-step explanation:
200 × 15 = 3000
hope this helps :)
Simplify 4.5+ 3.1(2x + y) + 1.2y.
Answer:
see image
Step-by-step explanation:
Answer:
6.2x+4.3y+4.5
Step-by-step explanation:
leonard has 32 jazz CD's and 48 classical CD's. write down the ratio of the number of jazz CD's to the number of Classical CD's. give your ratio in its simplest form
Answer:4 : 3
Step-by-step explanation:
32:48
8 : 6
4 : 3
Need answer for both will mark brainlest
Hey there ..
In ∆PRS and ∆RPQ ,
PS=QR (given)
angle PRS =angle QPR (90°)
PR=PR (common)
therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )
Hope it helps ..and plz mark me as brainliest if u found it helpful
How long is `50\%` of a 24 hour day
Answer:
12 hours
Step-by-step explanation:
50/100 x 24 = 12
Answer:
it would be 12 hours.
Step-by-step explanation:
24/2=12
You roll a 6-sided die.
What is P(not odd)?
Write your answer as a percentage.
Answer:
[tex]\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}[/tex]
Step-by-step explanation:
Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,
[tex]\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}[/tex]
And the total number of possible outcomes is 6 . That is ,
[tex]\sf\implies n(Sample \ space )= 6 [/tex]
Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .
[tex]\sf\implies n(Outcomes_{(even)})= 3 [/tex]
Now , lets use the formula of Probability that is ,
Probability :-
[tex]\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}[/tex]
Now put on the respective values :-
[tex]\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }[/tex]
[tex]\rule{200}2[/tex]
Expressing the probability as percentage :-
[tex]\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}[/tex]
how much would be 20%
Answer:
20 percent of what
Step-by-step explanation:
this is due is in about 15 minutes.. :')
1. You lose 3 points every time you forget to write your name on a test. You have forgotten to write your name 6 times. What integer represents your change in points from forgetting to write your name?
Answer:
I think the answer is 18.
what is the solution to 3x2+7x−20=0
Answer:
Your answer is -4
Hope that this is helpful. Tap the crown button, Like & Follow me
Answer:
x = 5/3
x = -4
-Evaluate the exponent
-Multiply the numbers
-Add the numbers
-Evaluate the square root
-Multiply the numbers
Jinny is selling bracelets for $4.00. So far, she has earned $296.00. She needs to earn more than $472.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal? Select the inequality that includes the fewest number of bracelets that she can sell and still reach her goal.