Answer:
x = -21/2
Step-by-step explanation:
y= 2/7 x-1
or, 7y= 2x -7
or, 2x -7y =7
2x + 7y = -49
4x = -42
x= -21/2
y= 2/7 × -21/2 -1
= -4
Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.
Answer:12
Step-by-step explanation:
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
If you draw a card with a value of five or less from a standard deck of cards, I will pay you $7$ 7. If not, you pay me $7$ 7. (Aces are considered the highest card in the deck.) Step 2 of 2 : If you played this game 543543 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
[tex]Amount = -\$1461.9[/tex]
Step-by-step explanation:
We have the following:
[tex]Total = 52[/tex] --- cards in a standard deck
Represent cards with a value of 5 or less with x
So: [tex]x = \{2, 3, 4, 5\}[/tex] i.e 4 cards
However, each of these has a frequency of 4.
So: [tex]n(x) = 4\ cards* 4[/tex]
[tex]n(x) = 16[/tex]
The probability is:
[tex]p(x) = \frac{16}{52}[/tex]
The cost of this is:
[tex]C(x) = +\$7[/tex]
Represent cards with a value of above 5 with y
[tex]n(y) = 52 - 16[/tex]
[tex]n(y) = 36[/tex]
The probability is:
[tex]p(y) = \frac{36}{52}[/tex]
The cost of this is:
[tex]C(y) = -\$7[/tex] --- It is negative because you lost
In a game, your expected amount is:
[tex]E = n(x) * C(x) + n(y) * C(y)[/tex]
[tex]E = \frac{16}{52} * (+\$7) + \frac{36}{52} * (-\$7)[/tex]
[tex]E = \frac{16* \$7}{52} - \frac{36* \$7}{52}[/tex]
[tex]E = \frac{\$112}{52} - \frac{\$252}{52}[/tex]
[tex]E = \frac{\$112 - \$252}{52}[/tex]
[tex]E = -\frac{\$140}{52}[/tex]
When you play 543 times, the expected amount is:
[tex]Amount = E * 543[/tex]
[tex]Amount = -\frac{\$140}{52} *543[/tex]
[tex]Amount = -\frac{\$140 *543}{52}[/tex]
[tex]Amount = -\frac{\$76020}{52}[/tex]
[tex]Amount = -\$1461.9[/tex]
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
Find the area of the polygon.
Answer:
240
Step-by-step explanation:
Hello There!
Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram
The formula for area of a parallelogram is
[tex]A=bh[/tex]
where b = base and h = height
the given dimension are
height = 15
base = 16
so all we have to do is plug in the values into the formula
[tex]A=(15)16\\15*16=240\\A=240[/tex]
so we can conclude that the area of the polygon is
240 square units
Y=x+3
2x+y=-6
Find the solution :
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
Help I need help with this algebra.
Answer:
B, D, F
Step-by-step explanation:
B, D, F
Find the next term of the following sequence.
9. 6. 4
Answer:
3
Step-by-step explanation:
Answer: 3
3 would be the answer cuz the it goes down by 3 then 2 then 1
HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY
Answer:
Step-by-step explanation:
Think B cause if it was 3 in the bracket it be × by ⅓ so ⅓ does the opposite I think
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
Learn more here:
Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...
https://brainly.in/question/10694066Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..
https://brainly.in/question/920470610 men can complete a job in 200 days. They started the work. After...
https://brainly.in/question/13973456Sandra is creating a new passcode for her phone. Her passcode will be 5 digits and she can choose any number between 0-9, with no repetition allowed. How many possible options passcode does she have?
a. 10X10X10X10X10
b.9X8X7X6X5
c.5X4X3X2X1
d.10X9X8X7X6
Answer:
B and C
Step-by-step explanation:
but i'm not sure
Is this sequence arithmetic? 6,11,16,21
Answer: Yes, it is.
Step-by-step explanation:
Sorry, I just know the answer because I just did this in school. Like- right now
What is the value of x in this equation: 4x+5=3x+4
write an inequality to represent the situation: the temp stayed above -15 degrees
Answer:
t> - 15
I hope this helps, if it's right please give me brainless
<--------- -15 -10 -5 0
----------------------------------------
there would be an open dot under -15
Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.
What is the student's median unit test score?
Enter your answer in the box.
Answer: 92.4
Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be
98+97+83+94+90= 462 Then you divide that by 5 and get 92.4
Hope this helps ^^
CAN SOMEONE HELP ME!!
Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?
Answer
37 ,123.52
Explanation
the image above, hope it helps
What is the constant of proportionality of the equation y = -1/4x
-1/4 or -1/4x
---
hope it helps
sorry if it doesn't
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
a solution set always include....
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
197 in²
Step-by-step explanation:
TOP 5x5=25
BOTTOM 9x5=45
BACK 5x5=25
SLOPED FRONT 6.4x5=32
TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70
25+45+25+32+70=197
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this cost is normally distributed with a standard deviation of $82. If you want to be in the bottom 50%, what will be the cut-off dollar amount
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
I invested $1585 for 5 years and
earned $475.50 in interest. What was
the interest rate?
Answer:
6%
Step-by-step explanation:
Given data
Principal= $1585
Time = 5 years
Interest = $475.50
Rate =???
The expression for the interest is given as
SI=PRT/100
substitute
475.50=1585*R*5/100
Cross multiply
475.50*100= 7925R
47550=7925R
R= 47550/7925
R= 6%
Hence the rate is 6%
I need help please help
Answer: 25.12
Step-by-step explanation: good luck
Simplify the expression 2(10)+2(x-2)
Answer:
16 + 2x
Step-by-step explanation:
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places
Answer:
The thing u pasted is glitched and isn't loading
Step-by-step explanation:
Determine if the measurements below will create a triangle. Then, explain your thinking.
55°, 80°, 55°
Answer:
No, the measurements given cannot be used to create a triangle.
Explanation:
The sum of all the angles of a triangle should be 180°.
Here,
55°+80°+55°=190°
which is not equal to 180°.
So, the traingle cannot be formed using the given measurements.