The following map shows the location of a mall, library, and school in a city: Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
A.) 10
B.) 12
C.) 34
D.) 46
Answers
Mike: From the school to the mall, we could count out 16 units. From the mall to the library, we could count out 29 units. When we add 16 and 29, we get the distance Mike traveled: 45 units.
Henry: He traveled from the school to the library. To find out how long this distance is, we look at our previous numbers. From the school to the mall: 16. From the mall to the library: 29
To solve, we need to know the Pythagorean Theorem. We use the formula a^2 + b^2 = c^2. Here, 16 is a and 29 is b. We need to square both numbers and add them together to get c^2.
[tex]16^2=256\\29^2=841\\256+841=1097\\1097=c^2[/tex]
Then, we have to square 1097 to find c.
√1097 ≈ 33
Total: We subtract Henry's distance from Mike's to get our final answer.
45 - 33 = 12
Mike traveled 12 more units than Henry.
Related Questions
find 4 different solution for 2x-y-4=0
Answers
Answer:
x=3 y=1
x=4 y=2
x=5 y=3
x=6 y=4
Step-by-step explanation:
add y to both sides to get:
2x-4=y
pull out the 2 from 2x-4 to get:
2(x-2)-y = 0
We need to know that x-2 cannot equal 0 or else the solution will be negative. So we need to make x-2 equal to any other number that is not negative and make y the inverse of x-2 so they cancel out and be zero. so some solutions are:
x=3 y=1
x=4 y=2
x=5 y=3
x=6 y=4
5 times the sum of the digits of a two digit number is 9 less than the number formed by reversing its digits. If 4 times the value of the digit at ones place is equal to the half of the place value of the digit at tens place, find out the number.
Answers
Answer:
5 times the sum of the digits of the number is 9 less than the number formed by reversing digits. → x = (5y - 9)/4 -- equation (1). Case - 2 : And, 4 times the value of the digits at ones place is equal to half the place value of digit at tens place (10x/2).
8.
Which is the correct value for the missing term?
(2x - 3)(x + 4) = 2x2 - 12
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 0
solve -3+12-5(2y-7) The solution y is:
Answers
Answer:
+12
Step-by-step explanation:
1. distribute the negative 5 to 2y and negative 7
2. combine like term's -3+12-10y+35
3.Get the Y value by itself -44 from both sides -44-2y=
-44 -44
4. divide negative 2 from both sides 2y=-44
-2= -2
Identify the rule for each pattern.
Pattern A: 0,3,6,9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72,...
*
Your answer
This is a required question
After the zeros, how is each number in the Pattern B related to the
corresponding number in Pattern A?
Your answer
Answers
Answer:
ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..
Determine the equation of the line shown in the graph: 3O POINTS PLS HELP ASAP! graph of a vertical line with an x intercept of negative 1 y = −1 y = 0 x = −1 x = 0
Answers
Answer:
[tex]\boxed{x = -1}[/tex]
Step-by-step explanation:
Hey there!
Well a vertical line means it starts with x =,
Whereas a horizontal line starts as y =.
So if the x intercept is at -1 then the equation is x= -1.
Hope this helps :)
Answer:
x = -1
Step-by-step explanation:
Which statement is true?
Group of answer choices
A debt of $17 is a larger value than a debt of $20.
One half an apple is equivalent to 8 fourths apples.
8.01 is a smaller increase in sales then 8.001.
LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero.
Answers
Answer:
The statement that is true is:
A debt of $17 is a larger value than a debt of $20.
Step-by-step explanation:
Let us look at the statements one after the other to determine if they are true or not:
1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$
2) One half an apple is equivalent to 8 fourths apples:
one half an apple = [tex]\frac{1}{2}\ of\ an\ apple[/tex]
8 fourths of an apple = [tex]\frac{8}{4} = \frac{2}{1}\ of\ and\ apple[/tex]. Therefore, one half of an apple is not equivalent to 8 fourth of an apple.
3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:
8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009
4) [tex]\frac{2}{3}\ below\ zero[/tex] is a lower temperature than 6 below zero:
[tex]\frac{2}{3}\ below\ zero\ = (-\frac{2}{3})^\circ[/tex]
6 below zero = - 6°
On the number line, -6 is smaller than [tex]-\frac{2}{3}[/tex] hence the statement is false.
Please help Show that the inverse of a linear function y=mx+b, where m≠0 and x≠b, is also a linear function
Answers
Let f(x) = mx+b. Also, let g(x) be the inverse of f(x)
To find the inverse, we start with y = mx+b and swap x and y. From there, we solve for y like so
y = mx+b
x = my + b
x-b = my
my = x-b
y = (x-b)/m ... note m is in the denominator, so m cannot be 0
y = (x/m) - (b/m)
y = (1/m)x - (b/m)
g(x) = (1/m)x - (b/m)
This new equation is linear because it is in the form (slope)x+(y intercept)
The new slope is 1/m and the new y intercept is -b/m
So this proves that the inverse g(x) is linear when f(x) is linear.
The inverse function is:
[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]
Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].
---------------------------------
A linear function is given by:[tex]y = mx + b[/tex]
In which:
m is the slope and b is the y-intercept.To find the inverse function, we exchange x and y in the original function, and then isolate y. Thus:[tex]x = my + b[/tex]
[tex]my = x - b[/tex]
[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]
Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].
A similar problem is given at https://brainly.com/question/18594541
Make a square measuring 5ft x 5ft. Count the number of people that can comfortably fit into the square. Find the ratio of the number of people in the square to the area of the square. What does this ratio mean?
Answers
Answer:
25 Ft
Step-by-step explanation:
you multiply it's so the square root is 25 ft
Mr. Two brought in cookies for his class. He gave out half of them in the morning.
At lunch, he gave out 14 more. He then had 8 cookies left. How many cookies did
he start with?
Answers
X=2(14+8)
X=28+16
X=44
Step-by-step explanation:
14 + 8 = 22
If he gave half of them in the morning = 22 x 2 = 44
Total cookies = 44
What is the center of a circle with the equation (x − 6)2 + (y + 2)2 = 9?
Answers
Answer:
centre = (6, - 2 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 6)² + (y + 2)² = 9 ← is in standard form
with (h, k ) = (6, - 2 ) ← centre
How many solutions does the system of equations have?
2x + 3y = 6
y=-2/3x-1
Α. Ο
B. 1
C. 2
D. infinite
(Doesn’t give me a graph or anything hurry please)
Answers
Answer:
0
Step-by-step explanation:
A total solar eclipse in 2003 lasted minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse?
Answers
For the 2003 solar eclipse, it lasted 217 seconds (3 minutes, 37 seconds).
It takes Jane 65 minutes to fly from Dallas, TX to San Antonio, TX on a commercial airline. She flew a total of 248 miles. Given this information, how long would it take for Jane to fly from San Antonio to Houston, which is 190 miles, if she flies at the same rate? Round to the nearest minute.
Answers
Answer:
50 minutes
Step-by-step explanation:
The rate is the same, so the time is proportional to the distance:
time to Houston = (65 min)(190/248) ≈ 49.8 min ≈ 50 min
It would take Jane 50 minutes to fly 190 miles.
Can someone help? 15 points! :)
Answers
Answer:
[tex]\Large \boxed{\mathrm{see \ below}}[/tex]
Step-by-step explanation:
Given.
(4x)/7 - 6 = -20
The x variable should be isolated on one side of the equation.
Adding 6 to both sides of the equation.
(4x)/7 - 6 + 6 = - 20 + 6
(4x)/7 = - 14
Multiplying both sides of the equation by 7.
(4x)/7 × (7) = - 14 × (7)
4x = - 98
Dividing both sides of the equation by 4.
(4x)/4 = - 98/4
x = - 24.5
How many pounds of candy that sells for $0.78 per pound must be mixed with candy that sells for $1.33 per pound to obtain 8 pounds of a mixture that should sell for $0.98 per pound
Answers
Step-by-step explanation:
Let x and y pounds of Candy A and Candy B be mixed respectively.
Rate of Candy A and Candy B are $0.78 and $1.33 per pound respectively.
Now,
(A) x + y = 8
(B) 0.78x + 1.33y = 7.84
Solving both equations :
0.33y = 1.6
x = 3.16 pounds of Candy A
y = 4.84 pounds of Candy B
Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.
Answers
Answer:
[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]
Step-by-step explanation:
First of all, let us try to find out the equation.
We can easily observe from the graph the values of x and y intercept.
x intercept is the value where y coordinate is 0.
We can see that y is 0 at x = 4
So, x intercept (4, 0)
y intercept is the value where x coordinate is 0.
We can see that y is 1 at x = 0
So, x intercept (0, 1)
Now, we have 2 points for the equation of line.
Slope intercept form:
[tex]y=mx+c[/tex]
Slope of a line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]x_1 = 0\\x_2 = 4\\y_1 = 1\\y_2 = 0[/tex]
[tex]m=\dfrac{0-1}{4-0}\\\Rightarrow m =-\dfrac{1}{4 }[/tex]
[tex]y=-\dfrac{1}{4} x+c[/tex]
Putting the point (0, 1):
[tex]1=-\dfrac{1}{4} \times 0+c\\\Rightarrow c = 0[/tex]
So, the equation becomes:
[tex]y=-\dfrac{1}{4} x+1[/tex]
Let us try to put a point (0, 0) in the equation.
LHS becomes 0.
RHS becomes 1.
LHS < RHS (Only less than sign used because the line is dashed not solid)
So, the inequality is:
[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]
Write a function g whose graph represents a reflection in the y-axis of the graph F(x)=-x+1
Answers
Answer:
[tex]\bold{g(x) = x+1}[/tex]
Step-by-step explanation:
Given a function:
[tex]F(x) =-x+1[/tex]
To find:
Function [tex]g[/tex] whose graph is a reflection in the y -axis for the given function = ?
Solution:
First of all, let us learn about the reflection of a point ([tex]x, y[/tex]) in y axis.
For example, let us consider a point (3, 2) on the coordinate axis.
The reflection of this point in y axis will be (-3, 2)
OR
In other words, To find the image of a point in y axis:
the x coordinate is made of negative sign and y coordinate remains the same.
A line is nothing but a number of points joined together.
So, if we want to find reflection of a line or linear function in y axis, we just make the sign of x as negative.
Given that [tex]F(x) =-x+1[/tex]
We can write it as:
[tex]F(x)=y =-x+1[/tex]
To find its reflection:
[tex]g(x) = - (-x)+1\\\Rightarrow \bold{g(x) = x+1}[/tex]
Please refer to the attached graphs of [tex]F(x)[/tex] and [tex]g(x)[/tex] .
So, the answer is:
[tex]\bold{g(x) = x+1}[/tex]
Miguel va de compras al supermercado y adquiere los siguientes productos, 8 helados de crema por un valor de cada uno de $9,56. Un paquete de papas grande por un valor de 3.70. Una gaseosa por valor de 4,525 y una chocolatina por valor de 1,267. 1. ¿Cual es el valor de los ocho helados y que operación debe realizar.? 2. ¿Cual es el valor total que debe pagar en la tienda? 3. Si Miguel tiene en su bolsillo $99,56 cuanto dinero le queda después de pagar en el supermercado?
Answers
Answer:
1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.
Step-by-step explanation:
Supóngase que los costes son en pesos mexicanos. (MXN)
1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?
Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:
[tex]x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)[/tex]
[tex]x = 76,48\,MXN[/tex]
El valor de los ocho helados de crema es 76,48 pesos.
2) ¿Cuál es el valor total que debe pagar en la tienda?
El valor total es la suma de todos los costes de los elementos comprados:
[tex]y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)[/tex]
[tex]y = 85,97\,MXN[/tex]
El valor total de la compra es 85,97 pesos.
3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?
El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:
[tex]z = 99,56\,MXN-85,97\,MXN[/tex]
[tex]z = 13,59\,MXN[/tex]
A Miguel le queda 13,59 pesos después de pagar en el supermercado.
a farmer is trying to determine the proper amounts of two fertilizers for her corn crop. She wants to use a total of 300 pounds of fertilizer per acre. She also finds that a 3:1 ratio of organic fertilizer to chemical fertilizer is optimal. If she has 9 acres of cornfield, how many pounds of organic fertilizer should she use?
Answers
Answer:
eat po0
Step-by-step explanation:
im po0 colour in among u
Consider that x = 3 4 and y = 1 2 . Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answers
Answer:
The answer is
Step-by-step explanation:
? A) The sum of x and y is a rational number.
Hope this helps....
Have a nice day!!!!
A length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet.
Answers
Answer:
252
Step-by-step explanation:
Because you just multiply:
126 times 2 = 225
Explanation:
Find width:
L = 2W
P = 2(L + W) = 126
Thus
126 = 2(2W + W)
126 = 2(3W)
126 = 6W
126/6 = W
21 = W
Thus, width = 21ft
But L = 2W => L = 2(21) => L = 42ft
Therefore, length = 42ft and width = 21ft
A hardware store’s revenue R in dollars from selling x lawnmowers is given by the equation R=90x-x^2
Answers
Answer:
2000
Step-by-step explanation:
38.
R = 90x - x²
R = 90(50) - 50²
R = 4500 - 2500
R = 2000
Given the following equation, solve for c.
Answers
Answer:
c = b/a
Step-by-step explanation:
Solve for c:
b/c = a
Hint: | Transform b/c = a so that c only appears in the numerator.
Take the reciprocal of both sides:
c/b = 1/a
Hint: | Solve for c.
Multiply both sides by b:
Answer: c = b/a
The slope line that passes through -3/5 and 4,1
Answers
Answer:1
Step-by-step explanation:
whats 1,456 ×6,000?
Answers
Answer:
8,736,000
Step-by-step explanation:
Answer:
The answer is 8,736,000
Xin orders 5 identical loaves of bread from the website of a bakery. The total shipping
weight is 9 pounds, as modeled on the balance below. What is the weight, in pounds, of each
loaf of bread??
answers:
1. 5/9 pounds
2. 1 4/5 pounds
3. 4/5 pounds
4. 1 5/9 pounds
hurry & answer pls!
Answers
Answer:
4/5 pounds is your answer
Step-by-step explanation:
You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs
Hope this helps! :D
factorise 4+4ab+a²b²
Answers
Answer:
(2+ab)(2+ab) is the answer
Use the Remainder Theorem to find the remainder for (x^4+x^2+2) divide by (x-3) a. 8 c. 63 b. 92 d. 0
Answers
Answer:92
Step-by-step explanation:
f(3)=3^4+3^2+2=81+9+2=90+2=92
The Remainder Theorem states that
⇛ If a polynomial f(x) is divided by a linear divisor (x – a), the remainder is f(a)
[tex] \Large{ \boxed{ \bf{ \color{green}{Solution:}}}}[/tex]
Given,
p(x) = x^4 + x^2 + 2g(x) = x - 3We don't need to divide by (x−3) ...
☃️Just calculate p(3):
Then, Using remainder theoram,
➝ (3)^4 + (3)^2 + 2
➝ 81 + 9 + 2
➝ 92
☘️ So, The remainder is 92
Option B
━━━━━━━━━━━━━━━━━━━━
Y/8=5 I don’t know where to start
Answers
Answer: y = 40
Explanation: In this problem, notice that y is being divided by 8 so to
get y by itself, we need to multiply both sides of the equation by 4.
So we have (8)(y/8) = (5)(8).
Noice that on the left side, the 8 and 8
cancel each other out so we're just left with y.
On the right side, we have (5)(8) which is 40.
So we have y = 40.
Answer: so what you want to do is you have the equation.
Y/8=5
so you can just say it's Y divided by 8 = 5.
The inverse operation of division is multiplication.
so know it would be y×8=5. so you would multiply 8 by 5. which would be 40 so y=40. a way to check it is subsituting 40 for Y. 40/8=5