Answer:
Max is 17 years old and Bert is 11 years old
Step-by-step explanation:
System of Equations
Let's call
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem:
x - 5 = 2(y - 5) [1]
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
2y - 5 + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5
x = 17
Max is 17 years old and Bert is 11 years old
Solve for the complimentary angle b
Answer:
b = 38
Step-by-step explanation:
The two angles form a 90 degree angle so they add to 90
b+52 = 90
Subtract 52 from each side
b+52-52 =90-52
b = 38
Answer:
38
Step-by-step explanation:
90-52=38
and the little box indicates it's a right angle which is 90 degrees
The ratio of potatoes to turnips is 3:1 if there is 75 potatoes how many turnips are there
Answer:
25
Step-by-step explanation:
let the total of potatoes and turnips be x
total ratio=1+3
=4
3÷4×x=75
3x=75×3
3x=300
x=300÷3
x=100
Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).
And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL
Answer:
As 2021 and 1927 does not have any product of primes
HCF and LCM of 2020 and 1926 is shown below
Step-by-step explanation:
2020 = 2^2 × 5 × 101
1926 = 2 x 3^2 x 107
2 is the HCF
2 x 2 x 3 x 3 x 5 x 101 x 107 = 1945260
1945260 is the LCM
2022 and 1928 both have product of primes and their HCF and LCM is
1949208 is the LCF and 2 is the HCF
1949208 - 1945260 = 3948
3948/2 = 1974
2022-1928 = 94
2020 - 1926 = 94
1974/94 = 21
and brings us back to our year again.
Happy New Year to you.
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
6(7+15)
= 6(7) + 6(15)
= 42 + 90
:D it helps!
What is 60 + 9.000000000
Answer:
69
Step-by-step explanation:
Answer:
69.000000000
Step-by-step explanation:
add 60 plus 9.000000000 and you get 69.000000000
Solve for a
-3=a+4
I need some help today
Help me please I don’t know it
99+99x=0
How to solve this please help
99 + 99x = 0
Subtract 99 from both sides:
99x = -99
Divide both sides by 99
X = -1
Answer:
[tex]x = - 1[/tex]
Step-by-step explanation:
[tex]99 + 99x = 0 \\ collecting \: like \: terms \\ 99x = - 99 \\ divide \: by \: 99 \: on \: both \: sides \\ \frac{99x}{99} = \frac{ - 99}{99} \\ x = - 1[/tex]
slope of -3,-2 and -1,-5
Answer:
14
Step-by-step explanation:
-3-2 is a slope and you add numbers
when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer
Four inches every four and a half pounds
The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
What is average?It is a measure of how much the function changes per unit, on average, over the given interval.
We have,
5 pounds loaded on a spring:
The length of the spring is 6 inches.
9 pounds loaded on a spring:
The length of the spring is 8 inches.
The average rate of change in the length of the spring as the load varies:
= (8 - 6) / (9 - 5)
= 2 / 4
= 1 / 2
= 0.5 inches per pound
Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
Learn more about average rate of change here:
https://brainly.com/question/21635353
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Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm
Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?
Answer:
it would take 22 gallons of gas
Step-by-step explanation:
3 divided by 60
that’s the amount of gas per single mile
then that number times 440 (number of miles you wish to go).
9 = 40 + 13
Helpppppp I need it due today
Its is equal to 9x6=53 Goodluck
For exercises 16-18 , trace each figure and draw its rotated image
True or false: sometimes, a quadratic expression cannot be factored.
Answer:
true
Step-by-step explanation:
It is 5:15 pm now. What time will it be in 40 minutes?
5:45 am
A5:45 pm
c5:55 pm
6:00 pm
Answer:
C:5:55
Step-by-step explanation:
5:15 plus 40 minutes will be 5:55
Answer:
C. 5:55 itssssss easyyy
Step-by-step explanation:
5:15
+40
55
a number that can be written as a fraction of two integers is called ___ number. it has decimal presentation that termite or repeats
Answer:
it is called an irrational number
Step-by-step explanation:
I think that this is a fact answer, so I don't know how to explain it
Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375
Answer: C
Step-by-step explanation:
Write the equation for the graph below. Points (-5,1) (-4,2) (-1,3)
Answer:
Concept: Derivation of Equations
Let us find the parent graph We can tell that the equation of the parent graph is [tex] \sqrt{x} [/tex]Hence we perform a transformation moving five units to the left and one unit upSo out result equation is [tex] \sqrt{x + 5} + 1[/tex]General note, if you move to the left its positive, if you move to the right its negative.If you move upwards its positive and downwards its negative.Give brainlist3x-4+7x-8-10x-2
Simplify
Answer:
The answer is -14
Step-by-step explanation:
P.S Can I have brainliest?
The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.
Answer:
y = 3x + 5
Step-by-step explanation:
The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5
Please Help! Will mark brainliest!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?
Answer:
11
Step-by-step explanation:
Let a= times he hit 4 par
Let b = times he hit 5 par
a+b=18 => 4a+4b = 72
4a+5b=79
b=79-72=7
So a = 11
answer:
18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
i hope this helps ♡♡♡
What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}
Answer:
The answer is the last option (d.)
Step-by-step explanation:
The domain is the X values and the range is the Y values.
Answer:
Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}
Step-by-step explanation:
I took the test and it was correct.
Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.
2/4 =5/x
x =
Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:
PLZ HELP
Do the ones you know!
In order from less complex to more complex, which level of organization is directly after tissue?
PLEASE HELP!! It’s urgent!! I will mark brainliest
Answer:
a,c,d
Step-by-step explanation:
Answer:
the answer is F, C, A
Thirty-five less than the square of a number is the same as 2 times the number. Find the number
9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7