Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
1.Which of the following is equivalent to 0.00648
2. What is the decimal equivalent of 8.3 x 10*6
3. What is the decimal equivalent of 9.7 x 10*5
4. Write 0.501 in scientific notation
5. Which of the following is equivalent to 4.99 x 10*-4
Answer:
D) 6.48 x 10⁻³
Step-by-step explanation:
to get an exponent of -3 means you move the decimal point three spaces to the right
2) 8,300,000
3) 970,000
4) 5.01 x 10⁻² (picture) 5.01 x 10⁻¹ (question)
5) 0.000499
Jenny's test grades are 88, 95, 97, and 100.
What is her average?
Answer:
95
Step-by-step explanation:
For average you just add all the numbers together and divide by how many numbers there are.
88+95+97+100=380
380÷4=95
The average of the given data is 95.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Jenny's test grades are 88, 95, 97, and 100. The average of the numbers will be calculated by adding all the numbers and dividing it by the total count of the numbers.
For average you just add all the numbers together and divide by how many numbers there are.
Average = ( 88+95+97+100 ) / 4
Average = 380 / 4
Average = 95
Therefore, the average of the given data is 95.
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Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.
Answer:
[tex]15 \times 2.205 = 33.0693 \: lb[/tex]
Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,
15 kg = 2.205 × 15 kg = 33.075 pounds
Hence, the Weight of Jackson's backpack is 33.075 pounds.
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Jaden goes to dinner with his family. Their total bill comes to $52.25. They received
great service, so they decide to leave a 20% tip. How much should they leave for a
tip?
$16.12
$1.05
$10.45
$2.61
Work Shown:
20% = 20/100 = 0.20
20% of 52.25 = 0.20*52.25 = 10.45
side note: The total cost, including the tip, is 52.25+10.45 = 62.70 dollars
What is the value of x?
4
ISNDNDMSLWLWKXDJSNKWKEDLC
per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e
Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352
The compound interest relationship is computed using the relation :
Final amount = P(1 + r)^tP = principal ; r = interest rate ; t = periodPlugging the values into the formula :
Final amount = 80000(1 + 12%)²
Final amount = 80000(1 + 0.12)²
Final amount = 80000(1.12)²
Final amount = $100352
Therefore, the final amount in the second year is $100352
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A slow steady rainstorm lasted all day. The rain was falling at a constant rate.
1. Write an equation that relates how much rain has fallen and how long it has been raining.
2. How long will it take for 5cm of rain to fall?
Answer:
15 hours
Step-by-step explanation:
Hey may someone please help me<4! I’ll greatly appreciate it
Answer:
1st figure out how many feet in 1 yard
Then you can take that number <x>
X x 5
Step-by-step explanation:
Answer:
1.67 yards or 5/3
Step-by-step explanation:
I just looked it up
A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2
Answer:A
Step-by-step explanation:por que se calcula correctamente
Which table represents exponential growth?
Answer:
B.
Step-by-step explanation:
Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.
please help with geometry homework
solve plsw brainliest
Answer:
40%
Step-by-step explanation:
2/5 = 40/100 or 40%
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?
Answer:
acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.
Step-by-step explanation:
distribut the 3 to each number in the parenthesis:
(3 * 8) + (3 * 4) = 24 + 12 = 36
Subtract.
3−(−5)−(−2)
Plot the solution on the number line.
Answer:
10
Step-by-step explanation:
Answer: Its 10, so plot it on 10 in the number line
Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.
A caterer charges 5500 plus 530 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering Write
and solve an inequality in terms of the number ofguests, 9 that can be invited.
Answer:
x = 250
Step-by-step explanation:
The super discount store s having a sale and all the clearance items are 40% off. which of the following are correct ways to find the price of an item that is normally $25.00?
A. Multiply $25.00 by 40 B. Multiply $25.00 by 0.4
C. Multiply $25.00 by 0.4 and subtract that amount from $25.00
D. Multiply $25.00 by 0.6
Answer:
Answer is C.
Step-by-step explanation:
Here is a better picture
Answer:all
Step-by-step explanation:so because u have done all
Which series of transformations will not map figure Q onto itself? (x + 2, y − 2), reflection over y = x − 1 (x − 2, y + 2), reflection over y = x + 3 (x + 0 y − 4), reflection over y = x − 1 (x − 3, y − 3), reflection over y = −x + 1
Answer:
B
Step-by-step explanation:
taking test rn ill say if its correct when i finish
Answer:
C reflection over y=x-1 (x+0y-4)
Step-by-step explanation:
Just got it right on the test
What is the y-intercept of the line y =
= {x-5
-5?
[tex]\large y=\dfrac{1}{2} x-{\boldsymbol5}^{\sf /y -intersept} \\\\ \rm Answer : B)-5[/tex]
Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.
Answer:
67/5
Step-by-step explanation:
17 1/5
17x5= 85 + 1= 86/5
3 4/5
3x5=15+4= 19/5
86/5 - 19/5=
86-19= 67/5
hope this helps!
Write a quadratic function whose zeros are -12 and -2.
Answer:
(x+12) (x+2)
x(x+12)+2(x+12)
x^2+12x+2x+24
x^2+14x+24
Step-by-step explanation:
Answer:
f(x) = x² + 14x + 24
Step-by-step explanation:
Given the zeros of -12 and -2, then it means that:
x + 12 = 0 and x + 2 = 0
As a proof, if you isolate x, you'll end up with the given values:
x + 12 - 12 = 0 - 12
x = -12
x + 2 - 2 = 0 - 2
x = -2
In terms of using these values into the quadratic function:
(x + 12) (x + 2)
Perform the FOIL method in order to find the quadratic function:
(x + 12) (x + 2)
f(x) = x² + 2x + 12x + 24
f(x) = x² + 14x + 24 ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.
1/2(x+24)=21 (distributive property) thanks
Answer:
x=18
Step-by-step explanation:
since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.
1/2 * x = 1/2x
1/2 * 24= 12
1/2x+12=21
subtract 12 from both sides
1/2x= 9
divide 1/2 from both sides
x=18
so your answer would be x=18
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]
»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What are the odds of winning a game, if the probability of losing the game is 5 /13 ?
Answer:
Step-by-step explanation:
If divided: 0.38461538461
If percent: 38.4615%.
Brainliest rn:D
The odds of winning the game is [tex]\frac{8}{13}[/tex].
What is probability?Probability is the measure of happening and non-happening of the outcomes of a random experiment.
What is the sum of probabilities?The sum of all the probabilities of all the elementary events of an experiment is always 1.
According to the given question.
We have
The probability of losing the game is [tex]\frac{5}{13}[/tex]
Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.
Therefore,
Probability of winning the game + Probability of losing the game = 1
⇒ Probability of winning the game + [tex]\frac{5}{13} =1[/tex]
⇒ Probability of winning the game = [tex]1 - \frac{5}{13}[/tex]
⇒ Probability of winning the game = [tex]\frac{13-5}{13}[/tex]
⇒ Probability of winning the game = [tex]\frac{8}{13}[/tex]
Hence, the odds of winning the game is [tex]\frac{8}{13}[/tex].
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Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c
Answer:
y=-1/2x+7/2
Step-by-step explanation:
Gradient is negative reciprocal so -1/2x
3=-1/2x + 7/2
y=-1/2x+7/2
Answer:
perpendicular lines have the same gradient
y=2x+3
The gradient of the two lines is 2
Gradient=change in y/change in x
=y2-y1/x2-x1
Let (x,y) also lie on the line
2= y-3/x-1
2(x-1) =y-3
2x-2=y-3
2x-y=-3+2
2x-y= -1
2x+1 =y
y=2x+1
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY
9 is the cube root of (a) 343 (b) 729 (c) 629 (d) 81
Answer:
(b) 729
Step-by-step explanation:
9 × 9 × 9 = 9^3 = 729
Thus, 9 is the cube root of 729
Complete the equation _,287x6=25,_ 2_
Answer:
4,287 x 6 = 25,722
.......
find the product what is 9.874×7= ?
does anyone know this math problem??
Answer:
y = -7
Step-by-step explanation:
Hi i need help with this work
Answer:
8/27 ft cubed
Step-by-step explanation:
2/3 cubed = 8/27
8/27 ft cubed
All items or people of interest in an experiment is called
Answer: a population
Step-by-step explanation:
Step-by-step explanation:
I think your answer is Population