Answer:
The numbers 'x' and 'y' are:
[tex]x=56,\:y=36[/tex]
Step-by-step explanation:
Let 'x' and 'y' be the two numbers
As the sum of the two numbers is 92.
so
[tex]x+y = 92[/tex]
Given that One-eighth of the larger number plus one-third of the smaller number is 19.
so
[tex]\frac{1}{8}x\:+\:\frac{1}{3}y=19[/tex]
now solving both equations to determine the numbers 'x' and 'y'.
[tex]\begin{bmatrix}\frac{1}{8}x+\frac{1}{3}y=19\\ x+y=92\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}\frac{1}{8}x+\frac{1}{3}y=19\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:x+\frac{8}{3}y=152[/tex]
[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ x+y=92\end{bmatrix}[/tex]
[tex]x+y=92[/tex]
[tex]-[/tex]
[tex]\underline{x+\frac{8}{3}y=152}[/tex]
[tex]-\frac{5}{3}y=-60[/tex]
[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ -\frac{5}{3}y=-60\end{bmatrix}[/tex]
solve for y
[tex]-\frac{5}{3}y=-60[/tex]
[tex]-5y=-180[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]
[tex]\frac{-5y}{-5}=\frac{-180}{-5}[/tex]
[tex]y=36[/tex]
[tex]\mathrm{For\:}x+\frac{8}{3}y=152\mathrm{\:plug\:in\:}y=36[/tex]
[tex]x+\frac{8}{3}\cdot \:36=152[/tex]
[tex]x=56[/tex]
Thus, the numbers 'x' and 'y' are:
[tex]x=56,\:y=36[/tex]
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
A. 105x + 90
B. 105x
C. 45x + 90
D. 60x
Answer:
The equation representing the total distance would be A. 105x + 90.
The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.
Step-by-step explanation:
Firstly, let's set the time travelled by the train to be x hours.
According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.
Hence:
[tex]45(x + 2) = 60x[/tex]
[tex]45x + 90 = 60x[/tex]
[tex]90 = 60x - 45x[/tex]
[tex]15x = 90[/tex]
[tex]x = 6[/tex]
Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.
Also, the equation can be found by adding both equations up:
[tex]45(x + 2) + 60x[/tex]
[tex]= 45x + 90 + 60x[/tex]
[tex]= 105x + 90[/tex]
Hope this helped!
which one doesn’t belong?
Answer:
Thats the FSA ummmm-
Step-by-step explanation:
find out distinct 3 letter word that can be formed from using the word singapore
Answer:
Sing
Gap
Nape
There are more than 3 distinct words
The table represents a linear function.
What is the slope of the function?
х
-4
-2
-1
1
2
y
-2.
-10
-14
-22
-26
2
5
-6 is the slope of the given table which represents a linear function.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let the equation of line be represented as A
The values of x = { -2 , -1 , 0 , 1 , 2 }
The value of y = { 8 , 2 , -4 , -10 , -16 }
Let us take any two points to find the slope.
(-2, 8) and (-1, 2) are the two points
Slope = 2-8/-1+2
=-6/1
=-6
Hence, -6 is the slope of the given table which represents a linear function.
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The table represents a linear function
X
-2
-1
0
1
2
Y
8
2
-4
-10
-16
What is the slope of the function
-6
-4
4
6
A treat bag has 2 green gum balls to read gumball and one blue gumball, if you were to reach into the treat bag right as a fraction, with the probability would be that you would randomly choose.
Answer:
2/5 ; 2/5 ; 1/5
Step-by-step explanation:
Given that :
Numbe red gumballs = 2
Number of green gumballs = 2
Number of Blue gumballs = 1
The probability of making a random choice :
Probability = required outcome / Total possible outcomes
Probability of choosing (red) :
P(red) = number of red balls / total number of balls
P(red) = 2 / 5
P(green) = number of green balls / total number of balls
P(green) = 2 / 5
P(blue) = Number of blue balls / total number of balls
P(blue) = 1 / 5
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
4. A formula used for calculating velocity is v=1/2at^2
Step-by-step explanation:
You're sure?
But I thought that for calculating distance
Karissa earns $200 per week plus $25 per item she sells. Which
equation models the relationship between her pay p per week and the
number of items n she sells?
A. p = 200n + 25
C. n = 25p + 200
B. p = 25n + 200
D. n = 200p + 25
Answer:
Step-by-step explanation:
p=200+25(n)
It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67
Answer:
25
Step-by-step explanation:
The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ
ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?
Answer:
C
Step-by-step explanation:
Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
Help please due in 2 hours Thank you!
Answer:
its B
Step-by-step explanation:
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answer:
Use the two ordered pairs to find the slope, m.
Then substitute one set of ordered pairs and m into y = mx + b to solve for b
Step-by-step explanation:
If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.
Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.
Use the 2 ordered pairs to find the slope, m .
Then substitute m and one set of ordered pairs into y = mx + b to solve for b.
If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.
For example
(x₁, y₁)(x₂, y₂)
m = slope = y₂ - y₁ / x₂ - x₁
The slope(m) is then substituted in the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).
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Which situations can be represented by an exponential function select each correct answer A a country's population is decreasing by about 3.5% each year B an investment increases about 1/12 each year c Hadesh travels at 67 mph. D maya adds $22 per week to her checking account
Answer:
A and B are the correct answers.
Step-by-step explanation:
Sorry If I'm late. I just took the test and got lucky myself.
plz tell me the correct answer
Answer: H
Step-by-step explanation:
Nick is buying juice for himself and 5 friends. Each bottle of juice costs $1.25. How much do 6 bottles of juice cost? Complete the table to find the cost of 6 bottles of juice.
Answer:
$7.5 for six boxes of juice
Step-by-step explanation:
1.25 times 6=7.5
lines l and m are parallel line i is represented by the equation 3x+4y=8 if line m passes through the point (2,-5) which equation represenrs line m
A y-5=-3/4 (x+2)
B y+5= -3/4(x-2)
C y-5= 4/3(x+2)
D y+5= 4/3(x-2)
Answer:
B
Step-by-step explanation:
because the math
Find the gradient of the line with equation Y=3-x
Step-by-step explanation:
Gradient = Coefficient of x = -1.
100 POINTS PLEASE HELP!!!!
Problem-solving Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket.
Answer:
Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...
Step-by-step explanation:
Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.
PLEASE HELP!! please!!
Answer:
1.a
2.b
3.e
4.f
Step-by-step explanation:
How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5
Answer:
5
Step-by-step explanation:
14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)
Type the correct answer in each box. If necessary, use / for the fraction bar.
Find the solution to this system of equations.
Answer:
I is 1/2 Y is 1/2 in Z is a half
*please be serious*
*solve for y*
Answer:
i cant answer it without x or at least some more stuff in the question, the only thing i can rlly say is 9x+2 maybe
Step-by-step explanation:
What is the slope of this graph?
A. -1/4
B. 1/4
C. -4
D. 4
Answer:
-4
Step-by-step explanation:
its negative because it is decreasing from left to right and 4 because it goes down 4 over one not down one over four
Answer: B : -1/4
Step-by-step explanation: The line is going down to the right which is a negitive slope. So that takes out the options B and C. Then to find the slope you find a point and go over one down four, therefour -1/4. Hope This Helps!
Can someone be nice enough to do this for me?
Answer:
1) -3, -2.5, -3/4, -3/8, 1/4, 3.1, 16/5, 6
Step-by-step explanation:
What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value of q
Given:
A number is q, multiply it by 2 and add 5.
You get the same answer as when you minus 2 from q.
To find:
The value of q.
Solution:
The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is
Multiply q by 2 = 2q
Multiply q by 2 and then add 5 : 2q + 5
So, the first result is 2q+5.
When you minus 2 from q = q-2
So, the second result is q-2.
According to the question, both results are equal. Equate both results to get the value of q.
[tex]2q+5=q-2[/tex]
Isolate variable terms.
[tex]2q-q=-5-2[/tex]
[tex]q=-7[/tex]
Therefore, the value of q is -7.
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
X-1=2 work out the value of 2x^2
Answer: 18
Step-by-step explanation:
X-1=2
X=3
2(3)^2
2(9)
18
Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For the given case, we are given that [tex]x - 1 =2[/tex]
By this, we can get the value of the variable 'x' as:
[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]
Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:
[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]
( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])
Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18
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