Step-by-step explanation:
Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :
-320+15y
We need to find the depth of submarine after 15 minutes.
Put y = 15 in the above expression.
-320+15y = -320+15(15)
= -320 + 225
= -95
Hence, the submarine is below sea level at 95 feet.
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
What is the slope of the line that passes through the points (0,5) and (2,8)
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
Please help ASAP !!!
Really need your help
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer
Make x the subject of the formula
X
y = x/a+b
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
how did you solve 60 times 400
Answer:
24000
Step-by-step explanation:
You just multiply 60 times 400
=24000
Answer:
24,000
Step-by-step explanation:
trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000
An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?
Answer:
4x + 11
Step-by-step explanation:
Here all sides of the triangle have the same length. Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is
12x + 33
------------- = 4x + 11
3
Please help help help help help im having trouble with this problem what is the answer
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
Plz help due tomorrow
Answer:
C.
Step-by-step explanation:
p/6+(q+8)
They are just adding not multiplying.
C is the answer they just changed the order of the numbers
like saying 3+4+5=5+4+3
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
y= -5/3x + 3
y= 1/3x - 3
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
please answer this question
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
Help me pls i dont understand this
Step-by-step explanation:
Notice that:
15x = 5 * 3x and 10y = 5 * 2y.
Since there is a common factor of 5,
we can take out the factor.
=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).
What number is 2/5 of 50
I dont understand 2/5 of 50
İf 50.2/5
[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]
İf 2/5 /50
[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
