Answer:
8
Step-by-step explanation:
Notice: we do not have to solve for x, and y. All we really have to do is to subtract the two equations.
(-10x + 3y) - (-4x + 7y) = 9 - 1.
Taking off the parentheses, we get:
-10x + 3y + 4x - 7y = 8.
Simplifying, we get:
-6x - 4y = 8.
So, the answer is 8.
When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)
Answer:
(a) [tex]p = 0.43d[/tex]
(b) [tex]p = 21.5[/tex]
(c) [tex]d = 151.163[/tex]
Step-by-step explanation:
Given
Variation: Direct
Represent ear pressure with p and depth with d.
So, we have:
[tex]p\ \alpha\ d[/tex]
[tex]d =10[/tex] when [tex]p =4.3[/tex]
Solving (a): Write a variation
We have:
[tex]p\ \alpha\ d[/tex]
Write as an equation
[tex]p = kd[/tex]
Where: k is the constant of variation
[tex]d =10[/tex] when [tex]p =4.3[/tex]
So, we have:
[tex]4.3 = k * 10[/tex]
Make k the subject
[tex]k = \frac{4.3}{10}[/tex]
[tex]k = 0.43[/tex]
Substitute 0.43 for k in [tex]p = kd[/tex]
[tex]p = 0.43d[/tex]
Solving (b): Pressure at 50 feet
Substitute 50 for d in [tex]p = 0.43d[/tex]
[tex]p = 0.43 * 50[/tex]
[tex]p = 21.5[/tex]
The pressure is 21.5 pounds per square
Solving (c): The safe depth
The safe depth stops at a pressure of 65psi.
Substitute 65 for p in [tex]p = 0.43d[/tex]
[tex]65 = 0.43 * d[/tex]
Make d the subject
[tex]d = \frac{65}{0.43}[/tex]
[tex]d = 151.162790698[/tex]
[tex]d = 151.163[/tex] -- approximated
The safe distance for an amateur is 151.163ft
Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10
Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later, Karen withdrew the full amount to put towards the down payment on a new house. How much did Karen withdraw from the account
Answer:
years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.
pls help i cant find the answer at all
Write 287 in expanded form ?
Answer:
200 + 80 + 7
you break it down fully to see how you got it all together
is this a positive or negative slope
Answer:
negative slope
Step-by-step explanation:
trust me
Tony’s deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
Write your equation AND solve.
Answer:
3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
Find the slope and y-intercept of y – 3x = 2
Answer:
slope is 3/1 y=2
Step-by-step explanation:
Which ordered pair solves the system of equations?
Answer:
(1;1)
Step-by-step explanation:
1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:
5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;
2. if x=1, then y=2x-1=2-1= 1.
3. the required pair is (1;1)
5. Find the slope of this line.
Answer:
3/2
Step-by-step explanation:
rise/run
The best approximation for square root of 10 Is
25
03.1
05
100
0.7+x=12 i reallly need help soo badd plss
Answer:
x=11.3
Step-by-step explanation:
happy to help ya :)
Answer:
x=11.3
Step-by-step explanation:
We do -0.7 on both sides and 12-0.7 is 11.3. So, x=11.3
what is the diameter
Answer:
9.61m
Step-by-step explanation:
to find the diameter you have to multiply the radius by 2
since radius is half of a circle
Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance to her aunt's house?
1. 36 2 + b2 = 15 2
2. 15 2 + 36 2 = c2
3. a2 + 15 2 = 36 2
The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :
Please help I need it thank you
Answer:
1. b
2.c
3.a
Step-by-step explanation:
welcome
Answer:
1) b: 1,176 sc
2) c: 100 sf
3) a: 225.36
Step-by-step explanation:
what is the sum of n=-2 and m=5
Answer:
sum=n+m=-2+5=3 is a answer
Solve: 98-X = 27X-3
O A. x = 5
O B. X= -5
O
C. X = -1/5
D. X = 1/5
Answer:
Honeslty its 5 idrk if its - or positive
Step-by-step explanation:
Sorry for not really helping
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
PLEASE HURRYY!!
2. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answer:
x = 70
c = 72
Step-by-step explanation:
chapter 13 medical math assignment sheet cengage learning a dental laboratory technician (DLT) earns $14 per hour when she works days and $18 per hour when she works nights. One month she works six 4-hour days, three 8-hour days, three 10-hour days, five 6-hour nights, and four 8-hour nights. What is her total pay for the month
Answer:
$2,208
Step-by-step explanation:
In order to calculate her total pay for the month we simply need to use the hours provided in the question, multiply each amount of hours by they pay rate for that day/night. Finally, we add all of the products together to get the final pay for the month.
6 * (4*14) = 336
3 * (8 * 14) = 336
3 * (10 * 14) = 420
5 * (6 * 18) = 540
4 * (8 * 18) = 576
336 + 336 + 420 + 540 + 576 = $2,208
Finally, we can see that her total pay for the month is $2,208
Derek and Jeannine buy a car for a total price, including tax, of $19,795.
The price of the car without tax was $18,500. What is the tax rate? (PLEASE HELP ME)
Answer:
1,295 I believe
Step-by-step explanation:
19,758 - 18,500 = 1,295.
There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
How many students are enrolled in PE?
Answer:
525
Step-by-step explanation:
multiply 1250 by the decimal form of the percentage (42% turns to .42)
