Answer:
$14
Step-by-step explanation:
Let Joe have $x
Then Nate would have $(x-5)
They both have $(x + (x-5) which is equal to $43
$(x + x -5) = $43
$2x - $5 = $43
$2x = $(43 - 5)
$2x = $38
Divide both sides by $2
x = 19 (Joe has $19)
:. Nate has $(19 - 5) = $14.
Nate have 24 dollars.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Suppose that Jo has x dollars of amount, and
Nate has y dollars of the amount
Given that Jo had $5 more than Nate and together they had $43
x + 5 = y ,
x + y = 43,
Substitute the value of y in the equation x + y = 43,
x + 5 + x = 43
2x = 43 - 5
2x = 38
Divide both sides by 2
x = 19
Now substitute the value of y = 19 in the equation x = y +5,
So, y = 19 + 5
y = 24
Hence, Nate have 24 dollars.
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The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot
Answer:
0.27 goldfish per cubic foot
Step-by-step explanation:
Find the density of the tank by dividing the number of goldfish by the volume of the tank:
12/45
= 0.27
So, the density of the tank is 0.27 goldfish per cubic foot
Answer:
0.27 is the answer
Step-by-step explanation:
I took the test :)
Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.
Answer:
Below
Step-by-step explanation:
First way:
Find the area of the big triangle and subtract the area of the rectangle.
Area of shaded part = 1/2 * 25 * 34 - 10*24 = 185 m^2
Second way:
Add the area of the 3 shaded triangles:
= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10
= 180 + 25 + 25 = 230 m^2
The areas are different. The reason must be that given lengths are not possible for this diagram.
Check The length of the hypotenuse of the large triangle by 2 different methods:
The hypotenuse = √(25^2 + 17^2)
= 30.23.
Now let's work out the hypotenuse of the shaded triangles:
Top one = √(15^2 ^ 12^2) = 19.21
Bottom one = √((5^2 + 10^2) = 11.18
Adding these we get 30.39 which is different than previously calculated but it should be the same.
So what we have here is impossible geometry. This accounts for the different areas.
Is the point (15,29)on the line y = 2x-3?
Answer:No
Step-by-step explanation: It is on 3x-3
The point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have a line:
y = 2x - 3
If the point (15, 29) is on the lie then it must satisfy the line.
Therefore putting this point in the equation of the line.
Put x = 15, and y = 29, we get:
29 = 2×15 - 3
= 30 - 3
29 ≠ 27
29 cannot be equal to 27 it means the point (15, 29) does not satisfy the line and the point is not lying on the line.
Thus, the point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
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Solve the inequality.
pls pls help
Answer:
first u will find de L.C.M which is 6
so u will multiply de whole equation by 6 hence
6(x/3)- 6(x-1/ 2) greater or equal to 6(1)
u will then cancel getting de equation to be
2(x)-3(x-1) greater or equal to 6 (1)
now, u will expand de equation
2x-3x+3 greater or equal to 6
now u group like terms
2x-3x greater or equal to 6-3
hint: greater or equal to must be done with it's symbol
so now for de answer, u will get -x greater or equal to 3
wen u get this, u change de operation to be opposite of de current sign
now de final answer becomes
-x less or equal to 3They are selling lollipops for $0.50 and candy bars for $1.50
Lydia buys 6 lollipops and some candy bars.
If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
if log w = (1/2) log x + log y, then w= ?
Answer:
[tex]w = \sqrt{x} y[/tex]
Step-by-step explanation:
Formula used :
[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]
[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
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please help me i have 5 minutes left: )! ill give Brainliest thanks<3
What term describes the process of using the output of one function as the input for another? A. Function mapping B. Function simplification C. Function composition D. Function notation
Answer: C. Function composition
Step-by-step explanation:
If we have two functions, we can form a new function by composing one function into the other. Such functions are known as composite functions.
For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).
It is generally a function that is written inside another function.
i.e. it is a process of using the output of one function as the input for another.
Thus, the correct option is C.
The required term: Function composition
Do the side lengths 15,20 and 25 form a right triangle?
PLEASEEEE HELPPPP!!! asap
===================================================
Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
due today pls help me
Answer:
BC = [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
Hope this helps u !!
please help i dont understand this
Answer:
yeah me too
Step-by-step explanation:
i’ll give you what eva you like
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
Expand the following: a)2(x - 1) b) 3(2x + 3) c) 7(x + 5 d) 5(2x - y) o Tyne here to search
Step-by-step explanation:
a )2x-2
b)6x+9
c)7x+35d
for these type of questions you basically just times the out side number of the brackets by the inside one.
hope this helps u understand:)
Which phrase describes the variable expression 11 • X?
O A. 11 decreased by x
OB. 11 increased by x
C. The produqt of 11 and x
odust
O D. The quotient of 11 and x
SUBA
Answer:
B or C
Step-by-step explanation:
if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.
Is -451 in the sequence below?
15,7,-1,-9,,-17..
Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
Answer:
nope
Step-by-step explanation:
Use an algebraic approach to solve the problem.
Judy bought a coat at a 10% discount sale for $63. What was the original price of the coat?
Answer:
$70
Step-by-step explanation:
essentially, Judy paid 90% of the original price
therefore you can write this equation where 'x' equals the original price:
.9x = 63
x = 63/.9
x = 70
The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0
Answer:
Length = 6.5 meters
Width = 4.5 meters
Step-by-step explanation:
Given,
Perimeter of a rectangle is twice the sum of it's length and width.
Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters
perimeter of the rectangle,
2{x+(x-2)} meters which is 22 meters (given)
so,
2{x+(x-2)}=22
or, 2(x+x-2)=22
or, 2(2x-2)=22
or, 2x-2=11
or, 2x=13
or, x=6.5
so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.
Answered by GAUTHMATH
Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).
tbh i think it is 6 i did the math too
Answer:
2√41
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-8 - 0)² + [0 - (-10)]²
√(-8)² + (10)²
√(64) + (100)
√164
= 2√41
Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpret the rate of change and initial value.
help me please
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
[tex]y=mx+b[/tex] ...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting [tex]x=10,y=200,m=15[/tex] in (i), we get
[tex]200=15(10)+b[/tex]
[tex]200=150+b[/tex]
[tex]200-150=b[/tex]
[tex]50=b[/tex]
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
please help with this
Answer:
Table A
Step-by-step explanation:
None of the numbers in the x values are repeating
Please help it's urgent if you do not help you will become Jeffery Epstein son!
Work out m and c for the line:
y=x-8
never mind i got it
Answer:
m = 1 c = -8
Step-by-step explanation:
A film starts at 19:30 the film lasts 104 minutes at what time does the film end?
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.
hope this helps,have a great day!!
~Pinky~
If a film starts at 19:30 and lasts 104 minutes.
The film will end at 21:14.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Example:
x + y + 2 is an expression.
We have,
Film start time = 19:30
Duration of the film = 104 minutes
1 hour = 60 minutes
Multiply 104/60 on both sides
104/60 x 1 hour = 104/60 x 60 minutes
1.73 hours = 104 minutes
The time the film will end:
= 19:30 + 1.73 hours
= 19:30 + 1 hour + 44 minutes
= 21:14
Thus,
The film will end at 21:14.
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Which table shows a proportional relationship between x and y?
Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)
Answer:
9x² + 6x - 5
Step-by-step explanation:
If you mean g(f(x))
g(x) = x² - 6
f(x) = 3x + 1
Then, g(f(x)) = g(3x + 1)
but g(x) = x² - 6
g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6
= 9x² + 6x - 5
the city central library has 72,864 books and 72 bookcases how many books are there in each bookcase
Answer:
1,012
Step-by-step explanation:
72,864 / 72 = 1,012
Answer:
1012 books per bookcase
Step-by-step explanation:
Assuming each bookcase has the same number of books, this is a division task.
Your answer will be given by number of books÷number of bookcases.
In this case, that becomes 72864÷72.
This can be solved to 1012.
**This question involves division and writing integer expressions, which you may wish to revise. I'm always happy to help!
Can someone help me? It's urgent and thank you!
Answer:
-6 and -1
Step-by-step explanation:
The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]
Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]
the discriminant is greater than 0, so the equation has two solutions
[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex] or [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]
the excluded values are -6 and -1
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill or 67.13
Answer:
$13.4
Step-by-step explanation:
Given that :
Tip percentage = 20%
Amount of bill = $67.13
Rounding the bill Amount to then nearest dollar :
$67.13 = $67
Tip amount = 20% of $67
Tip amount = 0.2 * $67
Tip amount = $13.4
I need help finding the solution
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
arc DC = 12x+7 = 12*5+7 = 67arc CB = 18x-23 = 18*5-23 = 67We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.