Given the formula C = 5(f-32)/9, find the value of C if F is 68
Answer:
Step-by-step explanation:
C = 5(68 - 32)/9
= 5(36)/9
= 180/9 = 20
C = 20
There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer. What is the smallest of the 3 integers?
Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.
4(x-1) = 3(x-1) + 6
x-1 = 5
x = 6
The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.
What's the value of x to the nearest tenth? Question 12 options: A) 7.9 B) 9.7 C) 5.9 D) 8.1
Answer:
The value is 9.7
Step-by-step explanation:
Use the Pythagorean theorem. [tex]a^{2} + b^{2}= c^{2}[/tex]
a=7 b=x c=12
[tex]7^{2} + x^{2}= 12^{2}[/tex]
[tex]49+x^{2} =144[/tex]
[tex]144-49=95[/tex]
[tex]x^{2} =95[/tex]
[tex]\sqrt{ x^{2}} =\sqrt{95}[/tex]
x=9.74679434481
x=9.7
A class has 30 boys and 20 girls. The average age of
boys is 12 yrs and girls 12 yrs. What is the
average age of the whole class."
Answer:
class has 30 boys and 20 girls the average age of boys is 12yr and girls 12yrwhole age of class is 12 + 12 ÷2
= 24÷2
= 12
Step-by-step explanation:
so the average of whole class is 12Christina is paid biweekly. Her annual salary is 37,500. What is her biweekly salary, rounded to the nearest cent?
Answer:
$1,423.08
Step-by-step explanation:
[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.
*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
The biweekly salary, rounded to the nearest cent is 1,423.08.
It is required to find the solution.
What is rounded number?A number that is easily multiplied, divided, etc., and especially a number that ends in zero.
Given :
Christina is paid biweekly. Her annual salary is 37,500.
According to given question we have,
We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
37500/26=1423.076
Rounded to the nearest cent it becomes 1,423.08.
Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.
Learn more about rounded number here:
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2. Deena drove 585 miles in 9 hours. How fast did she drive in 1 hour?
Answer:
Deena drove 65 miles in 1 hour
Step-by-step explanation:
hope it helps
Naomi invested $270 in an account in the year 2004, and the value has been growing
exponentially at a constant rate. The value of the account reached $300 in the year
2006. Determine the value of the account, to the nearest dollar, in the year 2011.
Answer:
390
Step-by-step explanation:
100% CORRECT
PLEASE HELP URGENT! 25 POINTS
Find x:
(If you can please explain how I can figure this out on my own
Answer:
56°
Step-by-step explanation:
a straight line is 180° and 124° subtracted from 180° is 56°
can some one simplify for x
12=7x+6-5x
Answer:
x = 3
Step-by-step explanation:
12 = 7x + 6 -5x {Combine like terms}
12 = 7x - 5x + 6
12 = 2x + 6 {Subtract 6 from both sides}
12 - 6 = 2x
6 = 2x {Divide both sides by 2}
6/2 = 2x/2
3 = x
x = 3
answer for p=2l+2w for l
Answer:
[tex]I=\frac{p-2w}{2}[/tex]
Step-by-step explanation:
[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]
Question 3 of 10
Is ACOW- APIG? If so, identify the similarity postulate or theorem that
applies
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
Compare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning
Answer:
Step-by-step explanation:
et A=120°
and B=5Pi /6
Pi radians ---------> 180°
x<----------------------- 120°
so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3
so A = 2Pi / 3 radian
let 's compare A and B
we know that 5Pi /6 = 0.8 Pi and 2P/3= 0.6 Pi, 0.8>0.6,
finally 5Pi /6 > 2P/3
so B>A
8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.
h = 15√3/4
= 6.4875
≈ 6.5 cm
Step-by-step explanation:h = 3x
c₁ = 5 cm
c₂ = x
Pythagorash² = c₁² + c₂²
(3x)² = 5² + x²
9x² = 25 + x²
8x² = 25
x² = 25/8
x = √25/8
x = 5/2√2
x = 5√2/4
h = 3x
= 3×5√2/4
= 15√2/4 cm
compare 5.7145 repeating and the square root of 29
Answer:0.3293
Step-by-step explanation:
What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22?
91
43
104
Answer:
Is there a missing number? If there isn't the answer will be 43.
Answer:
the answer will be 43 np
Solve: −6x+4≤−16−2x . Express your answer in interval notation. (Express your answer in interval notation. Use U to indicate a union of intervals, and "oo" to express ∞)
Answer:
[5, oo)
Step-by-step explanation:
Add 6x+16 to both sides:
20 ≤ 4x
5 ≤ x . . . . . . divide by 4
The solution interval is [5, oo).
Answer:
A is the answer
Step-by-step explanation:
A number y plus 7 is at least 16
Answer:
yes
Step-by-step explanation:
you are correct
Answer/Step-by-step explanation:
[tex]16-7=9[/tex]
Therefore [tex]y\geq9[/tex]
There was no picture to go off of, but this should be correct anyways!
Please mark Brainliest!!! =DBethany makes 50 hotdogs to divide equally between 6 people. How many hotdogs does each person get?
Step-by-step explanation:
soltion
hotdog=50
people =6
dividing equally to each people
A person got=50/6
=8.33
so each got 8.33
but practically we cannot give it 8.33 to each so we can give 8 to each
1 What is an appropriate "2nd step" when solving the equation below? 2/3x - 8= 12 Add 8 to each side. Divide both sides by 3. Multiply both sides by 2. Multiply both sides by 3/2.
Answer:
multiply both sides by [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] x - 8 = 12
first step
Add 8 to both sides
[tex]\frac{2}{3}[/tex] x = 20
second step
Multiply both sides by [tex]\frac{3}{2}[/tex] to clear the fraction
x = [tex]\frac{3}{2}[/tex] × 20 = 30
Use the commutative property to write an equivalent expression to 4g + 13, and show that they are equivalent for g = 10 and g = 2. Complete the statements. If you change the order of the terms you can create the equivalent expression . After substituting 10 for g, the expressions are and . After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2). The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.
Answer: 1= ( 13 + 4g )
2= ( 4(10) + 13 )
3= ( 13 + 4(10) )
4= ( 53 )
5= ( 21 )
Step-by-step explanation:
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
Commutative property :The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
[tex]a+b=b+a[/tex]
Given expression is, [tex]4g+13[/tex]
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
For [tex]g=10[/tex],
[tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]
Learn more about the commutative property here
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Patrick left an $8 tip on a $50 restaurant bill. What percent tip is that?
help me for a kith please
Answer:
Kith means becoz i am from India
Pls help I don’t understand
Solve for all values of x by factoring.
x^2 - 5x = -2x
Answer:
x=0. x=3
Step-by-step explanation:
Can someone help with this
Answer:
[tex]GH=2\sqrt{10}[/tex]
Step-by-step explanation:
Considering each is square is 1x1.
We have the points G(-2, -3) and H(0, 3).
Using the distance formula:
[tex]$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$[/tex]
[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]
[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]
[tex]$d=\sqrt{4 +36}$[/tex]
[tex]d=\sqrt{40}=2\sqrt{10}[/tex]
Also, using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+6^2=c^2[/tex]
[tex]4+36=c^2[/tex]
[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]
I need someone to explain functions and functional symmetry to me. This is very important, so if you do not have a legit answer, you will get reported.
Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.
Best of Luck!
Answer:
a shape that has reflective symmetry either x or y axis of origin.
in other words... it's a mirror image.
2.9/2.2 X 2.6 find the estimate round to one signifcant figure with each number.
Answer:
= 2.9/ 5.72
= 0.50
Round off to one significant figure.
= 1
Step-by-step explanation:
=2.9/5.72
=0.50
Therefore significant figure = 1
please mark as a brainlest
Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).
If you're going 60 miles per hour, how many hours is that? So, in other words, what does "per" mean? How many is "per"?
Answer:
Per pretty much means 1. So for example if I say I'm going 12 miles PER hour it means 12 miles every 1 hour.
Whoever answers first gets the brainliest Given: f(x)=|x|-3 What direction does the graph move ?______ How far?______
Answer:
3 units down
Step-by-step explanation:
Compared to
f(x) = |x|,
f(x) = |x| - 3 moves 3 units down.