Answer:
The larger of the two angles is x, which is 75. y is the smaller angle at 15.
Step-by-step explanation:
In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.
x + y = 90
x + (1/5x) = 90
1.2x = 90
x = 75
Now we can plug that value into either equation to find y
y = 1/5x
y = 1/5(75)
y = 15
Answer:
1.) 75
2.) 15
Step-by-step explanation:
edge 2020 Dec 8
if i take a fourth of a number away from half the number, i get 10. what is the number?
I think the answer is 40.
Twice the difference of a number and 2 is equal to three times the sum of the number and 9. Find the number
2(x - 2) = 3(x + 9)
Distributive property.
2x - 4 = 3x + 27
Subtract 2x from both sides.
-4 = x + 27
Subtract 27 from both sides.
-31 = x
Ben exercises every 12 days and isabel every 8 days Ben and isabel both exercised today. how many days will it be until they exercise together again?
96 days
12 x 8 = 96
to check I did:
8 x 1 = 8
8 x 2 =16
etc.
I did the same thing with 12,
To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. The LCM of 12 and 8 is 24.
Explanation:To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. Ben exercises every 12 days, while Isabel exercises every 8 days.
To find the LCM of 12 and 8, we can list the multiples of each number and find the smallest number that appears in both lists. The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and so on. The smallest number that appears in both lists is 24.
Therefore, Ben and Isabel will exercise together again in 24 days.
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Calculate your pay if you work h hours in one week and are Paid $10 per hour
To find your pay for a week, multiply the total hours worked (h) by the hourly wage ($10). For example, working 40 hours would yield a total pay of $400. A $2 per hour raise increases your hourly wage to $12 and represents a 20% pay increase.
Explanation:To calculate your pay if you work h hours in one week at a rate of $10 per hour, you simply multiply the number of hours worked by the hourly wage. This can be expressed in the following formula:
Total pay = Hourly wage imes Number of hours worked
So, if you work h hours, your total pay will be:
Total pay = $10/hour imes h hours
This means that if you work 40 hours in a week, for example, your total pay would be:
Total pay = $10/hour imes 40 hours = $400
If your boss is impressed with your work and gives you a $2 per hour raise, your new hourly wage would be $12 per hour. The percentage change in pay in this case is 20%, calculated by dividing the raise amount by the original wage ($2/$10 = 0.20 or 20%).
can someone help me with this one math problem ? picture is below
what is the translation for y=x square+ 6
Answer:
y=x^2+6
you need to add in the exponent
Subtract. 86,700,000 − 3.45 × 10^7 5.22 5.22×10^6 5.22×10^7 5.22×10^8
86,700,000 − 3.45 × 10^7
= 8.67 × 10^7 − 3.45 × 10^7
= (8.67 - 3.45) × 10^7
= 5.22 × 10^7
Hope it helps
By Subtracting the given expression 86,700,000 − 3.45 × [tex]10^7[/tex] we get Option b) 5.22 × [tex]10^7[/tex].
To subtract 3.45 × [tex]10^7[/tex] from 86,700,000, we need to perform a mathematical operation involving exponents.
To perform the subtraction, we start by rewriting the numbers in scientific notation form, where a number is expressed as a product of a coefficient and a power of 10.
Given expression: 86,700,000 - 3.45 × [tex]10^7[/tex]
Step 1: Rewrite 86,700,000 in scientific notation:
86,700,000 = 8.67 × [tex]10^7[/tex]
Now, the expression becomes: 8.67 × [tex]10^7[/tex] - 3.45 × [tex]10^7[/tex]
Step 2: Subtract the coefficients:
8.67 - 3.45 = 5.22
Step 3: Keep the common base (10) and subtract the exponents:
[tex]10^7[/tex] (common base) - [tex]10^7[/tex] = [tex]10^7[/tex]
Combining the coefficient and the exponent, we get the final result:
5.22 × [tex]10^7[/tex] (option b)
When we subtract numbers in scientific notation, we first need to make sure both numbers have the same exponent. In this case, we converted 86,700,000 to scientific notation as 8.67 × [tex]10^7[/tex]. Then, we subtracted the coefficients, which gave us 5.22. The exponent remains the same, which is [tex]10^7[/tex]. So, the final answer is 5.22 × [tex]10^7[/tex].
The correct option is b) 5.22 × [tex]10^7[/tex].
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Complete Question
Choose the correct answer form the given options:
Subtract. 86,700,000 − 3.45 × [tex]10^7[/tex]
a) 5.22 5.22×[tex]10^6[/tex]
b) 5.22×[tex]10^7[/tex]
c) 5.22×[tex]10^8[/tex]
HALPPPPP PLZZZZZ SHOW WORKKKKKKK
These are all division problems.
1) 9 ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{9}{1} * \frac{4}{3} = \frac{9(4)}{3}= 3(4) = 12[/tex]
3) [tex]3\frac{1}{2} = \frac{2(3) + 1}{2} = \frac{7}{2}[/tex]
7 ÷ [tex]\frac{7}{2}[/tex]
= [tex]\frac{7}{1} * \frac{2}{7} = \frac{7(2)}{2}= 7[/tex]
5) 6 ÷ [tex]\frac{1}{8}[/tex]
= [tex]\frac{6}{1} * \frac{8}{1} = 6(8) = 48[/tex]
50 PTS
A cyclist travels at distance of 400 meters in 120 seconds towards school, calculate his speed. (Show your work) Calculate his velocity if the direction is North East (NE)
The cyclist in practice question 2, comes to a stop position within 15 seconds. Calculate his acceleration. (Show your work) Is this an example of positive or negative acceleration?
1. Speed = 3.33333 Meters per second, 400/120=3.33333, average speed = total distance/elapsed time
2. Velocity = 3.33333 Meters, 400/120, V = distance / time
3. Acceleration = -0.222222[tex]m/s^2[/tex], acceleration = (velocity2 - velocity1) / time
acceleration = net_force / mass
Answer:
2 A. 400÷120=3.33
2 B. d/t=v
400/120=3.33 N E
3.
3.3m/s/15s=0.22m/s^2
downhill= negative slope=negative acceleration(slowing down)
solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x
[tex]-\frac{1}{3}x[/tex] + y = -1 ⇒ y = [tex]\frac{1}{3}x[/tex] - 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope [tex](\frac{1}{3})[/tex] by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
***************************************************************************************
y = 4 + [tex]\frac{1}{3}x[/tex] ⇒ y = [tex]\frac{1}{3}x[/tex] + 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
***********************************************************************************
You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
use the fact that there are 2pi radians in each circle to find another angle, smaller than 2pi, that is equivalent to 17pi/6. Show steps please
we are given angle as
[tex]\theta=\frac{17\pi}{6}[/tex]
we can write it as
[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]
now, we can break it
[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]
On simplifying
[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]
we know all angles repeats itself after 2pi
so,
[tex]2\pi + \theta= \theta[/tex]
so, we get
[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer
Final answer:
To find an angle equivalent to 17pi/6 radians and smaller than 2pi, subtract multiples of 2pi. In this case, subtracting one full circle (2pi) from 17pi/6 yields an equivalent angle of 5pi/6 radians.
Explanation:
To find an angle equivalent to 17pi/6 radians that is smaller than 2pi radians, we can subtract multiples of 2pi until we get an angle that lies between 0 and 2pi. This is because angles that differ by full circles (multiples of 2pi) are equivalent in the circular system.
First, calculate how many full circles 17pi/6 radians contain:
17pi/6 ÷ 2pi = 17/12 ≈ 1.4167
Since 1.4167 is more than 1 but less than 2, we know that 17pi/6 radians contain one full circle plus some additional angle. To find this angle, subtract the full circle from 17pi/6.
17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6
Thus, 5pi/6 radians is equivalent to 17pi/6 radians but is less than 2pi and thus satisfies the conditions of the problem.
8.0 ÷ 10 A) Sixty thousand
B) Six thousand
C) Six hundred
D) sixdy
HELP ME PLEASE!! A minor league baseball team plays 109 games in a season. If the team won 13 more than three times as many games they lost, how many wins and loses did the team have?
Let losses = X
They won 13 more than 3 times as many so wins = 3X +13
Now you have wins + loses = total games:
X +3X + 13= 109
Combine like terms:
4x + 13 = 109
Subtract 13 from each side:
4x = 96
Divide each side by 4:
x = 96 / 4
X = 24
Wins = 3X +13
3(24) +13 = 72+13 = 85
Wins = 85 games
Losses = 24 games
The price of one share or acme company declined $5 per day for 4 days un a row. How much did the price of one share change in total after the 4 days?
5 X 4 = $ 20 $ Your answer is 20.
Write three hundred thirty-five thousandths as a decimal number
The answer would be 0.335 because thousandths is the third decimal from zero
How many weeks of flea treatment would Jim’s dog get from one package if each treatment only lasted 3 weeks In a normal year when a flea treatment last 4 weeks how many more weeks of treatment would Jim’s dog get from one package. Each flea treatment usually last for about 4 weeks but one year the fleas were especially bad Jim’s dog needed to be treated for fleas every 3 weeks until the weather cooled off
Solution
Number of weeks in a year = 52 weeks
If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for
[tex]\frac{52}{4} =13 times[/tex]
Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.
Then in a year Jim's dog would get
[tex]\frac{52}{3} =17 times[/tex]
So Jim's dog will get 17- 13 =4 treatments more.
4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment
The Number treatments is the ratio of the number of weeks in a year and the number weeks per treatment. Hence, Jim's dog would get 4 more treatments due to the bad weather.
Number of weeks in a year = 52
Period of flea treatment due to weather = 3 weeks Normal duration of flea treatment = 4 weeksThe number of flea treatment he'll get in a year can be calculated thus :
Normal weather = 52 / 3 = 17. 333 = 17 treatments
Bad weather = 52 / 4 = 13 treatments
Difference in treatment = 17 - 13 = 4
Therefore, as a result of the bad weather, Jim's dog would get 4 more treatments than during normal weather.
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Which equation represents the following graph?
A.) Y = 2/3 x + 2
B.) Y = 3/2 x + 2
C.) Y = 2/3 x – 2
D.) Y = -2/3 x + 2
Y intercept (0, 2) so b = 2
Slope = (2 - 0) / (0 + 3) = 2/3
Equation y = mx + b
In this case slope m = 2/3 and y intercept = b = 2
So equation y = 2/3 x + 2
Answer
A.) Y = 2/3 x + 2
Please help me on this
a) Assuming the problem statement means the edge length of the cubical case is 3w, three times the width of the artifact, the volume of the case is ...
V = s³ . . . . . . volume of a cube with edge length s
V = (3w)³
b) The expression can be simplified by applying the rules of exponents, distributing the exponent to the contents of parentheses.
V = 3³w³
V = 27w³
What is the slope of this line?
23
−23
13
−13
the answer is -1 hope this helps
The slope of this line is -1
jessie is 45, his age is 5 years more than 4 times sals age how old is sal?
Sal is 10 years old. If you want to check you can do 10*4+5 and get 45
your aunt's age a minus 25 in algebraic expression
Answer : The expression for the given statement is [tex]a-25[/tex]
Step-by-step explanation :
We are given a statement :
"your aunt's age a minus 25"
Let the age of aunt be considered as 'a'
From the given statement, we conclude that
'Minus' in the above statement means subtract (-) operation.
Thus, the expression for the given statement is [tex]a-25[/tex]
Please help me find 2,4,6,8, and 10
It appears as though you're to figure out the quotient some way (as by using a calculator), then verify that the product of quotient and divisor gives the dividend.
2. 96 ÷ 6 = 16
... (6×10) + (6×6) = 96
... 6 × 16 = 96
4. 84 ÷ 6 = 14
... (6×10) + (6×4) = 84
... 6 × 14 = 84
6. 104 ÷ 4 = 26
... (4×20) + (4×6) = 104
... 4 × 26 = 104
8. 102 ÷ 6 = 17
... (6×10) + (6×7) = 102
... 6 × 17 = 102
10. 64 ÷ 4 = 16 . . . . Ken will make 16 gift bags, each containing 4 pens.
Marissa bought 12.8 pounds of potatoes at $1.35 a pound. How much did Marissa spend on the potatoes?
17.28 dollars is the answer
12.8 * 1.35 =17.28
Therefore Marissa spent $17.28 on potatoes.
Please give me the answers or at least explain how I’m supposed to do it
when solving sales tax it's pretty simple because all you do is add everything for a subtotal and multiply your sub total by the tax so i'll use the first as an example your subtotal is 19.96 x0.05 to get 0.99 <-- your sales tax and your final total with tax to be 20.96
Answer number one please
30 bass and 5 perch, so then you will bet minimal costs
[tex]12(m + 3x) = 18(x - 3m)[/tex]
To solve the equation 12(m + 3x) = 18(x - 3m), we can start by distributing the coefficients and collecting like terms. Finally, m = -3x/11.
Explanation:The given equation is 12(m + 3x) = 18(x - 3m).
To solve this equation, we need to distribute the 12 and 18 coefficients to the terms inside the parentheses. This gives us 12m + 36x = 18x - 54m. Next, we collect like terms on each side of the equation. Combining the 'm' terms, we get 12m + 54m = 18x - 36x. Simplifying both sides further, we have 66m = -18x.To isolate 'm', we divide both sides of the equation by 66, resulting in m = -18x/66. This can be simplified to m = -3x/11.Therefore, the solution to the equation is m = -3x/11.
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Kara invested 1250 in production pf a friends music cd her friend paid her back at 6% annual interest after 36 months how much money does kara get back
Ask google for help on that.
Describe a real life multiplication situation for which a estimate makes sense
Estimation is useful in calculating the total cost of items in a grocery store basket.
Explanation:An example of a real-life multiplication situation where estimation makes sense is calculating the total cost of items in a grocery store basket. Let's say you have a basket with 3 apples that cost $1.50 each and 2 yogurts that cost $2.75 each. To estimate the total cost, you can round the prices to the nearest dollar and multiply: 3 x $2 + 2 x $3 = $6 + $6 = $12. This estimation gives you a rough idea of the total cost without needing to calculate exact values.
What is the slope of this line?
The slope of this line is -3/4
In order to find this, we look for two points on the line and then use the slope formula. Two points that are on the line are (0, 2) and (4, -1). Plug these into the following formula.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-1 - 2)/(4 - 0)
m = -3/4
Find the product.
(6 a + b ) 2
Answer:
12a+2b
Step-by-step explanation: