Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
please help IM GIVING 100 POINTS SO PLEASE MAKE SURE ITS CORRECT
Answer:
A is 6 23/56
B is 3 4/15
Step-by-step explanation:
Answer:
a. 6 23/56
b. 3 4/15
Step-by-step explanation:
1. First you need have the same denominators.
5 16/56 and 1 7/56
5 16/56 + 1 7/56 = 6 23/56
2. Again you have to find the same denominators.
4 10/15 and 1 6/15
4 10/15 - 1 6/15 = 3 4/15
3 4/15
The numbers 22 and 35 are relatively prime. TrueFalse
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?
Answer:
475 pencils in each box
Step-by-step explanation:
950/2= 475
Youd divide 950 by 2 where 2 represents the 2 boxes
Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years
Answer:750 divided by 3
Step-by-step explanation:
which one of these tables shows a direct variation
Answer:
The first one
Step-by-step explanation:
A direct variation is when x and y are multiplied or divided by the same number. For example, in the first one y is always 8 times x. But, in the 2nd 3rd and 4th one that is not the case.
Hope this Helps!!! :)
Let me know in the comments if I should change anything or if the answer was perfect!!!
A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?
Answer:
if i am right it 260
Step-by-step explanation:
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 is b
4 is also b
Step-by-step explanation:
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴
⇒WIDTH = Y cm
⇒LENGTH =( y+2 )cm
⇒PERIMETER = 32cm
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
solution ↴
perimeter of rectangle = 2 ( length + width)
[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm
[/tex]
☛ so the width of the rectangle is 7cm
so we all done :D
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
Question in the photo
Need an answer asap!
Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y
In 2018, researchers examined a random sample of 1455 "disadvantaged" Australian school children (children aged 6 – 15 from rural and outer suburban areas) and found that 4.3% of them were nearsighted. In 2014, the rate of nearsightedness among such children was 3.5%. Is this strong evidence that the parameter has changed since 2018?
Answer:
No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.
Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.
Step-by-step explanation:
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
equations with variables on both sides: decimals & fractions, 6d - 11/2 = 2d - 13/2
Step-by-step explanation:
i work in paper sheet please see it
Final Answer: [tex]d = -\frac{1}{4}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].
Step 1: Subtract [tex]2d[/tex] from both sides.
[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]
Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].
[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]
Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.
[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]
Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].
[tex]4d = -1[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]d = -\frac{1}{4}[/tex]
~I hope I helped you :)~
Rewrite as a simplified fraction 2.67 repeating
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)
We can use the equation of tangent as a structure.
[tex]y - f(a) = f'(a)(x - a)[/tex]
Our f(a) is y-point and Our a is x-point..
Looking back at the equation, our f(a) would be 3 and a would be - 4
Therefore the answer is (-4,3)
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
y + 2/5y whats is its equivalent expression
Answer:
(7 y)/5 I think...
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
A. 2x+5=23
B. x+2+5=23
C. x+x+5=23
D. 5x+2=23
Answer:
b
Step-by-step explanation:
lucky guess
Answer:
your answer is A
Step-by-step explanation:
if you look at the amount of "x's " you have , you put them together and you will get 2x and you add 5 and your answer 23...
hopefully i was helpful
8 more than a third of a number
Answer:
8 + 1/3n
Step-by-step explanation:
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
This is a test my sister made to see how smart I am plz help.
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
14. Which graph has an undefined slope?
Given:
Slope is undefined.
To find:
Which graph has an undefined slope?
Solution:
We know that, slope is change in y-values with respect to x-values.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is undefined if the denominator is 0.
[tex]x_2-x_1=0[/tex]
[tex]x_2=x_1[/tex]
It means, the x-values are same. It is possible only for a vertical line.
Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.
What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
To learn more about rounding of numbers click :
https://brainly.com/question/4896544
#SPJ5