Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
Read more about partial sequence at:
https://brainly.com/question/12914852
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
What is the quotient of 36 and -3
(WILL MAKE BRAINLIEST )
help me with this problem thank youuup.
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
What is the product in simplest form −6/11⋅3/4
Ava bought 2 sandwiches for a total of $5.25 , a bowl of soup for $3.00, and a bag of chips for 1.25. How much change did she get back if she paid with a $20.00 bill?
Answer:
she would get 11 dollars back
Step-by-step explanation:
look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go
I dont know what this is no links please
Answer:
Hamm i think si r or q mm sorry if it's wrong
Step-by-step explanation:
I think the answer would be q
Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
25
15
375
10
Answer:
15
Step-by-step explanation:
[tex]\frac{25}{375} = \frac{1}{x}[/tex]
Cross multiply to get 25x = 375
Divide each side by 25 to get x = 15
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
What is the value of f(x), if x is -8?
Answer:
-8f
Step-by-step explanation:
you will substitute in the numbers and multiply
Because f is a variable you write the -8 and attach the f to it
The value of function for given x value is -1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=-(x+8)²-1.
Substitute x=-8 in the given function, we get
f(-8)=-(-8+8)²-1
= -0-1
= -1
Therefore, the value of function for given x value is -1.
To learn more about the function visit:
https://brainly.com/question/28303908.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the value of f(x)=-(x+8)²-1, if x is -8?
If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that
Answer:
1.2 minutes
Step-by-step explanation:
5 laps >> 360 ( 6×60)
1 lap >> x
cross multiplication
5x = 360
x = 360/5
x= 72 second
x = 72/60 = 1.2 minute
Evaluate a+b+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a fraction in simplest form.
After solving the given expression, the value obtained from it in form of simplest fraction is equal to 5.1/8.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given data in the question,
a = 7/8
b = -7/16
c = 0.8 and
d = 1/4
And the equation is a+b+cd
7/8 + (-7/16) + (0.8)(1/4)
7/16 + 0.2
= 10.2/16
In simplest form, it is written as 5.1/8.
To know more about expression:
https://brainly.com/question/14083225
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Please help me solve this!
NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!
Answer:
a - 6%
b - $7.50
Step-by-step explanation:
The answer for a
the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%
The answer for b
Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50
Increase 80 by 12.5%
Answer:
90
Step-by-step explanation:
Answer:
[tex]80 \times \frac{12.5}{100} \\ = 10 [/tex]
then 80+10 =90
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
What is 8.798 rounded to the nearest cent
Answer:
For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.
Step-by-step explanation:
Simplify the following expression. (0.5x – 3)(0.5x + 3)
Answer:
0.25x^2-9
Step-by-step explanation:
Difference of squares converse:
0.25x^2-9
Answer:
0.25x^2-9
Step-by-step explanation:
multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.
1.5x and -1.5x is 0. so you are left with 0.25x^2-9
Levi measured the auditorium and made a scale drawing. He used the scale 23 inches : 8 feet. If the actual width of the stage is 16 feet, how wide is the stage in the drawing?
Answer:
the drawing would be 46 inches
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
Step-by-step explanation:
Tan (theta) = opposite / adjacent
theta = 60 degrees
opposite = 15
adjacent = opposite / Tan(theta)
adjacent = 15 / tan(60)
tan(60) = sqrt(3)
sqrt(3) = 1.732
adjacent = 15 /1.732
answer: adjacent = 8.6603
Hey can some one help me on this one please
Answer:
The first and third are functions.
Step-by-step explanation:
Functions must have only one y-value for an x-value.
A mailman earned $832 a week last year. What was his yearly salary?
Answer:
$43,264
Step-by-step explanation:
theres 52 weeks in a year so you just do $832 x 52
Help please! I don’t understand
Answer:
one real solutions
Step-by-step explanation:
Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?
Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)
-
Which equation represents a line which is parallel to the line 7y - 4x = -14?
Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3
