Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]
Hence,
The actual distance between cities = 345 miles
You need 4 cups of orange juice and 3 cups of cranberry juice to make 7 total cups of fruit punch. How many cups of each juice do you need to make 28 cups of fruit punch?
Step-by-step explanation:
4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch
28 = 4 * 7 so all you would need to do is multiply the number of cups by 4
4( 4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch)
16 cups of orange juice + 12 cups of cranberry juice = 28 cups of fruit punch
I hope this helps!!!!
I really tried my best to explain so please let me know if this did or did not make sense
Have a nice day!!!
John is 14 years older than Sam and the product of their ages is 275. How old is Sam?
A. 11
B. 5
C. 3
D. 8
Answer:
A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The answer is A because 11+14=25 and you multiply 25 by 11 to see it equals 275.
A line is drawn through points A and B on the coordinate plane shown below.
A line is drawn through points A and B on the coordinate plane shown below.
Which coordinates BEST represent the location of the x-intercept of the line?
A:(-2,0)
B:(0,-2)
C:(3,0)
D:(0,3)
15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.
Equation: _____
X = _____
BC = _____
Answer:
equation : 2x + 4 = 3x - 5
X = 9
BC = 22
The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
What is a square? What is a mathematical equation? What do you mean by domain and range of a function?In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Area: (side)²Perimeter: 4 x sideNumber of vertices: 4Number of edges: 4Internal angle: 90°Properties: Convex polygon, Equilateral polygon, Isogonal figure, Isotoxal figure, CyclicType: Quadrilateral, Regular polygonA mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is square ABCD and AB = 2x + 4 and CD = 3x - 5
Now -
AB = CD
Equation will be -
2x + 4 = 3x - 5
4 + 5 = 3x - 2x
x = 9
and
AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22
BC = 22
Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
To solve more questions on square, visit the link below -
https://brainly.com/question/1603804
#SPJ2
The temperature is 2°C. The wind chill makes it feel 7°C colder.
and
Abe’s score was 15 in a card game. Then he lost 12 points two hands in a row. FAST PLS
The cost of 7 scarves is $50.75. What is the unit price? The unit price is $ per scarf.
In the expression below, what is the coefficient?
3y-4
Answer: 3y is the coefficient.
Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.
7 x 7 ( __ x 7 ) + ( 2 x 7 )
= __ + 14
=
Answer:
Step-by-step explanation:
1) 5
2) 63
????
d
Evaluate
arcsin
(6)]
at x = 4.
dx
Answer:
[tex]\frac{1}{2\sqrt{5} }[/tex]
Step-by-step explanation:
Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y
sin(y) = [tex]\frac{x}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)
[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]
cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]
= [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]
= [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]
Therefore, from equation (1),
[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
At x = 4,
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]
[tex]=\frac{1}{\sqrt{20}}[/tex]
[tex]=\frac{1}{2\sqrt{5}}[/tex]
4x + 4 = 9x - 36
-8
-7
8
-3
Answer:
8
Step-by-step explanation:
here,
4x+4=9x-36
or,4+36=9x-4x
or,40=5x
or40/5=x
or,8=x
x=8
What are the coefficients for the expression
[tex]4x4 + x3 - 2x2 - 6x + 2 [/tex]
6x - 2 + 2x = -2 + 4x + 8
Simplifying
6x + -2 + 2x = -2 + 4x + 8
Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8
Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8
Reorder the terms:
-2 + 8x = -2 + 8 + 4x
Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x
Solving
-2 + 8x = 6 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x
Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6
Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2
Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2
Combine like terms: 6 + 2 = 8
4x = 8
Divide each side by '4'.
x = 2
Simplifying
x = 2
Expand (−7n)4
A. −n(4⋅4⋅4⋅4⋅4⋅4⋅4)
B. (−7n)⋅(−7n)⋅(−7n)⋅(−7n)
C. −7(n⋅n⋅n⋅n)
D. −7n⋅4
someone please help me lol
Answer:
Undefined
Step-by-step explanation:
We see that the domain of f is (-5,5], where ( means not included, ] means included.
Therefore, since -5 is not in the domain, the value is undefined.
a worker has installed 65% of the tiles for a tile floor. If they installed 195 tiles so far, how many tiles are there total
Answer:
300 tiles.
Step-by-step explanation:
First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)
What is the total cost of a $75.00 item with a sales tax of 4%?
Answer:
Step-by-step explanation:
75+[(75*4)/100]=75+3=78
help me please i will mark brainliest if correct
Answer:
-11
8 = 2x + 30
8 - 30 = -22
-22 ÷ 2 = -11
x = -11
Also if you place 2×(-11) + 30 you get 8
Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)
Answer: (5,3)
Step-by-step explanation:
A) an = 4 − 3
B) an = 4 + 1
C) an = 4 + 3
D) an = 4 − 1
Please help
Answer fast
Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
please help, my teacher won't respond to email and everyone else is busy
Answer:
16.
x<5
hope this helps!!:)
Step-by-step explanation:
HELP!!
What is the surface area of this shape?
NEED HELP ASAP
Function f is represented by f(x) = 5(x + 11)
A. Find f(-2)
Answer:
f(-2)=45
Step-by-step explanation:
f(x)=5(x+11)
x= -2
so basicly its just 5(-2+11)
which is -10+55 and that is 45
so f(-2)=45
Considering the given function, it is found that the numeric value at x = -2 is of f(-2) = 45.
What is the definition of the function?The function is defined by:
f(x) = 5(x + 11).
Hence, when x = -2, we have that:
f(-2) = 5(-2 + 11) = 5 x 9 = 45.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ2
There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta
Answer:
$150
Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150
Order these from biggest to smallest output.
Hello! Can you help you can get more points! Click on the photo for more view etc.
Answer:
22,950
Step-by-step explanation:
subtract 51,550 and 28,600. 0 - 0 = 0 then 5-0=5 5-6 you can not do so you barrow from the 1. 1 becomes 0 and 5 becomes 15. 15-6=9. 0-8 you can not do so you need to borrow from the 5. 5 becomes 4 and 0 becomes 10. 10-8=2. Finally, 4-2=2. Put is all together and you have 22,950.
What are the x - and y -intercepts of the equation 3x+4y=24?
Given:
The equation is
[tex]3x+4y=24[/tex]
To find:
The x- and y-intercepts of the given equation.
Solution:
We have,
[tex]3x+4y=24[/tex]
Putting x=0, we get
[tex]3(0)+4y=24[/tex]
[tex]0+4y=24[/tex]
[tex]y=\dfrac{24}{4}[/tex]
[tex]y=6[/tex]
Therefore, the y-intercept of the given equation is 6.
Putting y=0, we get
[tex]3x+4(0)=24[/tex]
[tex]3x+0=24[/tex]
[tex]x=\dfrac{24}{3}[/tex]
[tex]x=8[/tex]
Therefore, the x-intercept of the given equation is 8.
Using f(x) = 2x + 1,
find the solution for f(4). *
Answer:
Step-by-step explanation:
plug in 4 for x then simplify
= 2(4) + 1
= 8 + 1
= 9
hope this helps <3
Answer: f (4) = 9
Step-by-step explanation:
f (x) = 2x + 1
f (4) = 2 (4) + 1
f (4) = 8 + 1
f (4) = 9
Please help it’s due tomorrow!
Trent kept track of his leaf-raking business as shown. What was his profit?
Answer:
506 $
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is nothing shown, I’m sorry we can’t answer without numbers
A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *
Answer :
The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]
Explanation :
Given that,
A 7-by-7 foot rug is shown in figure.
Suppose, all parts are equal.
The area of rug is
[tex]A_{r}=7\times7[/tex]
Area of one part of rug is
[tex]A'_{1}=3.5\times3.5[/tex]
We need to calculate the probability that the coin will land on an area that is white
Using formula of probability
[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]
Put the value into the formula
[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]
[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]
[tex]P=\dfrac{1}{2}[/tex]
Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].