Answer: In explanation
Step-by-step explanation: 350-170=4x
Solve 180=4x
45=x 45 minutes longer
4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying
4x+170 because that is how much gas the tank can hold. You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.
45 minutes as stated above.
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)t . What is the rate of decrease of original oxygen?
Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?
Answer:
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Step-by-step explanation:
Let
x = length of sitcoms
y = length of dramas
6x + 6y = 372 (1)
2x + 6y = 288 (2)
Subtract (2) from (1) to eliminate y
6x - 2x = 372 - 288
4x = 84
x = 84/4
x = 21
Substitute x = 21 into (1)
6x + 6y = 372
6(21) + 6y = 372
126 + 6y = 372
6y = 372 - 126
6y = 246
y = 246/6
y = 41
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
4. If y = 5x – 3 and 3x - y = -1, what is the value of y?
A 2
B -1
C 7
D -8
answers:
4.C po
Step-by-step explanation:
i hope its help
Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
what's the question i need more info
i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)
Answer:
area = 120.7 cm²
Step-by-step explanation:
net area = area of rectangle - area of semi-circle
area = (19 x 7.5) - 1/2(3.14)(4.5²)
area = 152.5 - 31.8 = 120.7 cm²
Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)
Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36
b.) 2x2−2x−262 x squared minus 2 x minus 26
c.) 2x2+2x+362 x squared plus 2 x plus 36
d.) 2x2+14x+26
Answer: 2x^2-2x-36 is the correct answer
Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)
what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
Find X .Round your answer to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
With reference angle x
perpendicular (p) = 11
hypotenuse (h) = 18
Now
sin x = p / h
sin x = 11 / 18
x = sin ^-1( 11/ 18)
x = 37.66
x = 37.7
Awnser: 37.7
Sin: Oppostie/Hypotonuse
11/18=sin(x)
sin^-1(11/18)= 37.6698...
A local pizza shop has a membership program for frequent buyers. The membership
costs $20 per month and members get a discounted price of $2 per slice of pizza.
Wyatt purchased a membership to this pizza shop. How much would Wyatt have to
pay the pizza shop if he bought 14 slices of pizza this month? What would be the
monthly cost for x slices of pizza?
Answer: $48.
Step-by-step explanation:
Since each slice of pizza is $2 and Wyatt bought 14 slices of pizza, you would multiply 14 by 2 then add it onto the cost of the membership.
14 * 2 = 28
20 + 28 = 48
The monthly cost for 14 slices of pizza is $48.
Solve and show work.
Which of the following is equivalent to the addition problem below?
46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)
Answer:
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
Step-by-step explanation:
In this case, you are breaking each term down to it's non-zero digits, and adding them:
46.61 = 40 + 6 + 0.6 + 0.01
51.52 = 50 + 1 + 0.5 + 0.02
Note however, that the answer choices add each individual non-zero terms together:
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.
~
Karen is working on her math homework. She solves the equation b/7
= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?
Answer:
disagree
Step-by-step explanation:
subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.
Answer:
No
Step-by-step explanation:
If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245
Find the area of the circle below to the nearest tenth.
25 ya
Blank 1:
Answer:
490.9 yards squared.
Step-by-step explanation:
you would use the formula for area of a circle r^2 x pi
the diameter is 25, so the radius is 1/2 of that or 12.5
12.5^2 x pi = 490.9
4,400,000 in scientific notation.
Answer:
4.4 * [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4.4 x 10^6
Step-by-step explanation:
The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.
After you place the decimal you should have, 4.400000.
Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.
So the answer would be, 4.4 x 10^6
!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
rectangular prism
Step-by-step explanation:
The sides fold up into a rectangular shaped box, or a prism. Hope this helps!
RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
mZBAC = 53° and DE = 8, find the indicated measure.
B
А.
53°
mZAED
m2 DAC
m ZADC
AE
DB
8
E
с
AC
D
11. Name the four isosceles triangles in rhombus ABCD.
12. Name three properties of AC and BD.
Answer:
Question 11:
[tex]\angle DAC = 53^\circ[/tex]
[tex]\angle AED = 90^\circ[/tex]
[tex]\angle ADC = 74[/tex]
[tex]DB = 16[/tex]
[tex]AE = 6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
Question 11
Given
[tex]\angle BAC = 53^\circ[/tex]
[tex]DE = 8[/tex]
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a): [tex]\angle DAC[/tex]
Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles
i.e
[tex]\angle DAC = \angle BAC[/tex]
So:
[tex]\angle DAC = 53^\circ[/tex]
Solving (b): [tex]\angle AED[/tex]
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
[tex]\angle AED = 90^\circ[/tex]
Solving (c): [tex]\angle ADC[/tex]
First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:
[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]
[tex]\angle ADE + 90 + 53 = 180[/tex]
[tex]\angle ADE + 143 = 180[/tex]
[tex]\angle ADE = -143 + 180[/tex]
[tex]\angle ADE = 37[/tex]
To calculate [tex]\angle ADC[/tex], we have:
[tex]\angle ADC = 2*\angle ADE[/tex]
[tex]\angle ADC = 2* 37[/tex]
[tex]\angle ADC = 74[/tex]
Solving (d): [tex]DB[/tex]
From the rhombus
[tex]DB = DE +EB[/tex]
Where
[tex]DE =EB[/tex]
So:
[tex]DB = 8 + 8[/tex]
[tex]DB = 16[/tex]
Solving (e): [tex]AE[/tex]
To do this we consider [tex]\triangle ADE[/tex]
Using the tan formula
[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]
[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]
So:
[tex]\tan(37) = \frac{AE}{8}[/tex]
[tex]AE = 8 * \tan(37)[/tex]
[tex]AE = 6.03[/tex]
Solving (f): [tex]AC[/tex]
This is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
[tex]AC = 6.03 +6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12: Isosceles Triangle
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
A triangle is shown.
What is the measure of angle x?
solve the equation for the variable, show your work
11x - 16 = -49
x = _____
Answer:
x = -3Step-by-step explanation:
Given,11x - 16 = -49
=> 11x = - 49 + 16
=> 11x = -33
[tex] = > x = \frac{ - 33}{11} [/tex]
=> x = -3 (Ans)
Answer:
x=-3
Step-by-step explanation:
1. Add 16 to both sides of the equation
11−16=−49
11−16+16=−49+16
2. Simplify.
IF you add the numbers you will get:
11x=-33
3. Divide both sides of the equation by the same term
11=−33
11/11=−33/11
4. Simplify.
x=-3
Hope this helps :)
Please Solve
The equation below
Answer:
4h+3
Step-by-step explanation:
3h+h+3
4h+3
Solve the unit rate
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
See the thing on the left?
▢ unknown
- = -
▢ 1
Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!
::::;
Julius’s walking rate is
(12 miles)/(3 hours) = (4 miles)/(1 hour)
time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles
time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles
time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles
time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours
time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours
Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lager number
Answer:
17
Step-by-step explanation:
Let the larger number be represented by x
Let the smaller number be represented by y
from the question, the next equations can be gotten :
x - y = 9 equation 1
x = 1 + 2y equation 2
Substitute for x in equation 1
1 + 2y - y = 9
1 + y = 9
Collect like terms
y = 9 - 1
y = 8
Substitute for y in equation 1 and solve for x (the larger number)
x - 8 = 9
x = 9 + 8
x = 17
how many times can 10 go into 111? lol i need help
Answer:
11.1 times
Step-by-step explanation:
Answer:
11 times
Step-by-step explanation:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
What is X-4<5 Helpppp I dont understand
Answer:
x<9
Step-by-step explanation:
isolate the x by adding 4 on both sides. then add 4+5 to get 9.
i hope this helps :)
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
Each side of a square courtyard is 17 yards long. It costs $28.73 per yard to replace the brick wall around the courtyard. How much would it cost to replace the brick wall?
Answer
1953. 64
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
33.51
Step-by-step explanation:
V=4 3πr3=4 3·π·23≈33.51032
Find the area and perimeter pls!!!
P = a + b + c =4.81 + 8.8 + 8.42 = 22.03
please help me outt
Answer:
see explanation
Step-by-step explanation:
The scientific notation is 3.212 · 10^8