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The number of books Susan borrowed is 30 books.
Given that
Richard borrowed 17 books.Richard borrowed half as many as Linda has, so For Linda, it should be 17 × 2 = 38 books.Linda borrowed 8 books more as compared with Susan.So, Susan should borrow books of
= 38 - 8
= 30 books
Therefore we can conclude that The number of books Susan borrowed is 30 books.
Learn more about the books here: brainly.com/question/3445384
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
i neeeeeeedddd helpppppppppp
Answer:
C.
Step-by-step explanation:
I honestly forget how to do this.
All credit goes to victoradisla08
The best approximation for square root of 10 Is
25
03.1
05
100
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
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
The product of (a − b)(a − b) is a perfect square trinomial.
A. Sometimes
B. Always
C. Never
Answer:
Always.
Step-by-step explanation:
Answer:
Always
Step-by-step explanation:
The first term of the product is always the first term of the original binomial squared.
The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.
The last term of the product is always positive and equal to the last term of the original binomial squared.
EX: Find the product of (3x − 4)2.
Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.
(3x − 4)2
substitute a for 3 times x and substitute b for 4 a b
Now, substitute the values for a and b into a2 − 2ab + b2.
a2 − 2ab + b2
Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.
(3x)2 − 2(3x)(4) + (4)2
32x2 − 24x + 16
9x2 − 24x + 16
Done!
What is the range of f(x) = (3/4)^x -4?
Answer:
[tex]f\left(x\right)>-4[/tex]
Step-by-step explanation:
[tex]f\left(x\right)>k[/tex]
[tex]k=-4[/tex]
[tex]f\left(x\right)>-4[/tex]
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)
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)
is this a positive or negative slope
Answer:
negative slope
Step-by-step explanation:
trust me
hurry I am timed Which part of the cell holds genetic information in the molecule DNA?
ribosome
chromosomes
Golgi body
vacuole
Answer:
Chromosomes
Have a great day!
Answer:
chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
A baker has 6.8 kilograms of flour. She buys another 1.5 kilograms of flour. She uses 1.2 kilograms to make cupcakes and 0.8 kilograms to make cookies.
How much flour does the baker have left?
3.3 kg
4.8 kg
6.3 kg
8.7 kg
Answer: 6.3
Step-by-step explanation:
6.8 +1.5 -1.2 -0.8= 6.3
the quotient of 12 and the product of 4 and 5 as a numerical expression.
Answer:
Step-by-step explanation:
The "product of 4 and 5" is (4)(5). 12
The quotient of 12 and the product of 4 and 5 is ------------
(4)(5)
The numerical expression for the given phrase is 12/(4×5).
What is a quotient?In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The given phrase is the quotient of 12 and the product of 4 and 5.
Now, 12/(4×5)
= 12/20
= 3/5
= 0.6
Therefore, the numerical expression is 12/(4×5).
Learn more about the quotient here:
https://brainly.com/question/16134410.
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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.
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:
Find the slope and y-intercept of y – 3x = 2
Answer:
slope is 3/1 y=2
Step-by-step explanation:
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
Write 287 in expanded form ?
Answer:
200 + 80 + 7
you break it down fully to see how you got it all together
i need help with this please
Answer:
a=40 degree( vertically opposite angle)
a+b+90=180( area of triangle)
or, 40+ b+ 90=180
or,b=180-130
b=50 degree
c+65=180 (st.line)
or, c= 180-65
c= 115 degree
Simplify the imaginary number using the properties of exponents.
¡102
Answer: Explanation: 102=2⋅51. i102=(i2)51=(−1)51=−1.
Step-by-step explanation:
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.
Put these fractions in order from greatest to least.
8/9 8/11 8/10 8/12
Answer:
8/9, 8/10, 8/11, 8/12
Step-by-step explanation:
If you convert the fractions to percents, 8/9 would be 88%, 8/10 would be 80%, 8/11 would be 72%, and 8/12 would be 66%. Since its greatest to least, you would use the original fractions, but these percents would help you get the correct answer.
what is the sum of n=-2 and m=5
Answer:
sum=n+m=-2+5=3 is a answer
what is 5 divided by 3/10
Answer:
16.6 :)
Step-by-step explanation:
PLZ FOLLOW ME
pls help i cant find the answer at all
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 :
5. Find the slope of this line.
Answer:
3/2
Step-by-step explanation:
rise/run
if your smart enough to answer this then ill give brainliest
Answer:
No they are not proportional
Step-by-step explanation:
They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk
Answer:
no its not proportainal
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
