Answer:
x = 16.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/22
22 sin 50 =x
x=16.85297
To the nearest tenth
x = 16.9
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
what is the difference
Answer:
what is question of this you asked
The afternoon classes in a school begin at 1 PM
and end at 3:52 PM. There are 4 class periods
with 4 minutes between classes. How many
minutes are there in each class period?
Answer:
39 minutes
Step-by-step explanation:
Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes
So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16
Then I subtracted 16 for 52 to get 36 minutes
So now the time for class periods was 2.36 minutes
So I took that numbers and divided it by the 4 class periods and got 39 minutes.
Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)
There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The afternoon classes in a school begin at 1 PM and end at 3:52 PM.
Duration of school = 2 hours and 52 minutes
Or
Duration of school = 172 hours
There are 4 class periods with 4 minutes between classes.
Duration of classes = 172 - 4(3)
Duration of classes = 172 - 12
Duration of classes = 160 minutes
Total minutes for each class period = 160/4 = 40 minutes
Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
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Expand and Simplify
10a-(3a+7)
An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy
Answer:
Initial mass = 25 grams
Step-by-step explanation:
[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]
x = 20 (mass of copper)
[tex]\frac{20}{20+5} = .8 = 80[/tex] percent
[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent
which of the following is the symbol for parallel lines AB and XY?
Answer
A is the symbol for parallel lines AB and XY.
Explanation
B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.
C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.
Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.
Solve the system of equations.
Answer:
(-1,3) and (2,6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x=-1 and y =3 and x = 2 y=6
(-1,3) and (2,6)
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
what is 2.9225 rounded to the nearest cent?
Answer:
2.92
Step-by-step explanation:
bvscscscscsccscd
Answer:
2.92
Is what I rounded
and hope it helps
Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
How to determine How much how much interest will she pay over the 30 years of paymentsTo determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.
First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:
Total amount paid = Monthly payment x Number of months
= $540.15 x (30 years x 12 months/year)
= $540.15 x 360
= $194,454
Next, we subtract the principal amount from the total amount paid to find the total interest paid:
Total interest paid = Total amount paid - Principal amount
= $194,454 - $150,000
= $44,454
Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
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HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3
Answer:
The value of x = 6
Step-by-step explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6
pllllllssssss helpooppppp
a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.
If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.
Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.
Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.
Answer: The first four terms are 8, 11, 14, 17(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6
X= -1
X= 1/3
X= 1
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]9x+8=7x+6[/tex]
Keep the variables in the left side & rest in the left side:
[tex]9x-7x=6-8[/tex]
[tex]2x=-2[/tex]
[tex]x=-2/2[/tex]
[tex]x=-1[/tex]
Simplify 3000x 35% /100
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?
Answer:
In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.
Step-by-step explanation:
T = ?
R = 5.5%
P = Rs 3600
I = Rs 594
so
T = (I×100)/(P×R)
or, T = (594×100)/(3600×5.5)
or, T = 59400/19800
so, T = 3 yrs
Can someone please help! Thank you so much!
Answer:
a. 3x (150 degrees)
b. 9x (180 degrees)
c. 3x - 20 (220 degrees)
Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 start fraction, 1, divided by, 2, end fraction centímetro cada día y ha crecido un total de 222 centímetros desde que empezó a medirla.
Answer:
Step-by-step explanation:
ok bro la primera es
The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.
Answer: Mean = 27.33
Median = 27
Mode = 25 and 27
Step-by-step explanation:
1. Mean is the addition of all the numbers divided by how many numbers that are there.
Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27
Mean = 738/27
Mean = 27.33
2. Median is the number in the middle in the ascending or descending other and this will be:
Median = 27/2 = 13.5 = 14th number = 27.
The median is 27.
3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times
-
Which is the solution to the inequality?
2
8
15
o b<2 113
o
b>2 1 1
o b<3 7
o b> 3 7
PLEASE HELP!!
Compare the following data sets that can be modeled linearly.
Data Set A: (1,12), (2,74), (3,193), (4,89), (5,210), (6,143)
Data Set B: (1,203), (2,109), (3,76), (4,42), (5,59), (6,33)
Which data set has a better linear model? Why?
Select the option that correctly answers both questions.
A.) Data Set A, because its correlation coefficient is lower.
B.) Data Set A, because its correlation coefficient is closer to 1.
C.) Data Set B, because its correlation coefficient is higher.
D.) Data Set B, because its correlation coefficient is farther from 0.
Answer:Data Set B, because its correlation coefficient is farther from 0.
Step-by-step explanation:
I got it right soo <3
In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?
Answer:
none of the tables shown
Step-by-step explanation:
Inverse variation is
xy = k where k is the constant
xy = 4
in the top table
-2*2 = -4 so it cannot be the first table
In the middle table
-2 * -8 = 16 so it is not the middle table
In the bottom table
-2 *4 = -8 so it is not the bottom table
There must be a table not shown
