Given:
Consider the total age of 5 children with age difference 3 years is 50 years.
To find:
The age of the youngest and oldest child.
Solution:
Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.
Sum of their ages is 50 years.
[tex](x-6)+(x-3)+x+(x+3)+(x+6)=50[/tex]
[tex]5x=50[/tex]
[tex]x=\dfrac{50}{5}[/tex]
[tex]x=10[/tex]
The age of the youngest child is
[tex]10-6=4[/tex]
The age of the oldest child is
[tex]10+6=16[/tex]
Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
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?
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
i neeeeeeedddd helpppppppppp
Answer:
C.
Step-by-step explanation:
I honestly forget how to do this.
All credit goes to victoradisla08
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
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
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.
5. Find the slope of this line.
Answer:
3/2
Step-by-step explanation:
rise/run
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.
#SPJ2
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:
Find the slope and y-intercept of y – 3x = 2
Answer:
slope is 3/1 y=2
Step-by-step explanation:
pls help i cant find the answer at all
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)
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
is this a positive or negative slope
Answer:
negative slope
Step-by-step explanation:
trust me
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
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 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:
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.
Write 287 in expanded form ?
Answer:
200 + 80 + 7
you break it down fully to see how you got it all together
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
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]
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 .
The best approximation for square root of 10 Is
25
03.1
05
100
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:
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:
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)
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!
