how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."The dance committee at Jefferson High School decides to charge students different prices for dance tickets depending on whether they are a student at Jefferson or at another school. A student attending Jefferson pays $5, whereas a student attending a different school pays $10. The dance committee didn't make different kinds of tickets, and they lost track of how many of each kind of ticket they sold. They know they sold a total of 500 tickets and they brought in $3,135. How many Jefferson and non-Jefferson students came to the dance?
Answer:
30
Step-by-step explanation:
The number of Jefferson students and the number of non-Jefferson students if A student attending Jefferson pays $5, A student attending a different school pays $10 is 373 and 127 respectively.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given:
A student attending Jefferson pays $5,
A student attending a different school pays $10,
The total number of tickets = 500,
The total money earned = $3135,
Write the equation of the given statement as shown below,
x + y = 500
5x + 10y = 3135
Here, x is the number of Jefferson students and y is the number of non-Jefferson students,
Solve the equation by elimination method as shown below,
y = 127,
x = 500 - 127 = 373
Thus, the number of Jefferson students is 373 and the number of non-Jefferson students is 127.
To know more about equation:
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¡Please answer!
¿What is a circle?.
Answer:
A circle is a shape.
Step-by-step explanation:
In geometry circles are known for you to solve the radius wit the formula A= π r^2
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
what are the missing reasons in the proof. im having an hard time with this.
Answer:
Please see below
Step-by-step explanation:
Step 3: Definition of parallelogram
Step 4: Alternate internal angles between parallel lines AB // CD
Step 5: Reflexive property of congruence
Step 6: ASA theorem
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Help plz thx thx for the help
Answer:
A is irrational and I believe the rest are rational
NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
A.) 20.6 units
B.) 4 units
C.) 19.4 units
D.) 5 units
What pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
Given mn, find the value of x.
+
(x-3)
(8x+3)
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
Find the perimeter??
Answer:
13 in
Step-by-step explanation:
just add all the numbers lol
Answer:
the perimeter of the triangle is 13[tex]in^{2}[/tex]
Step-by-step explanation:
All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12
[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))
[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))
[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))
Now that you have a common denominator for all 3 fractions, you can now add them all up
[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]
Now to add, the denominator has to stay the same (12), and add up all the numerators
[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]
Hope this helped!
12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
1/4 divided by 1/13 please help !
Answer:
13/4
Step-by-step explanation:
We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4
Answer:
3 1/4
Step-by-step explanation:
[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]
A -yard-long field is divided into parts of equal length. Mr. Gump paints a 6-yard-long strip in each part. How long is the unpainted strip in each part of the field
Answer:
9 yards
Step-by-step explanation:
THE QUESTION ABOVE ISN'T COMPLETE THEN I FIND THE SAME QUESTION WITH JUST CHANGE IN VALUES. CHECK IT BELOW;
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the unpainted strip of each part of the road?
EXPLANATION:
From the question, a 208-yard-long road is been parted into into 16 parts and they all have equal length.
Then we can determine the Length of each part as
(208-yard-long road/16 parts )
= 13
Then each part has a length of 13 yards
From the question, we know that 4-yard-long strip was painted in each part by Mr. Ward. Which means to determine the
unpainted strip of each part, we are going to use the expresion below.
(Length of each strip - length of painted strip)
= (13 yards - 4-yard-long strip )
= 9 yards
Therefore, the length of unpainted strip of each part of the road is 9 yards
What is the radius of the circle?
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
Can someone answer these two problems??
9514 1404 393
Answer:
B
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b
where the slope is m = -3 and the y-intercept is b = +2.
So, the graph will have a slope of ...
"rise"/"run" = -3 = -3/1
and will cross the y-axis at y=2.
Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%
Given:
Original price = $15.25
Tax rate = 7%
To find:
The total amount.
Solution:
We know that,
Total amount = Original price + Tax
According to the question,
Total amount = 15.25 + 7% of 15.25
[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]
[tex]\text{Total amount}=15.25+1.0675[/tex]
[tex]\text{Total amount}=16.3175[/tex]
Round to the nearest cent (two decimal places).
[tex]\text{Total amount}\approx 16.32[/tex]
Therefore, the total value is $16.32.
Simplify the expression below:
5(2x - 4y)
Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
10 • (x - 2y)
Step-by-step explanation:
Pull out like factors :
2x - 4y = 2 • (x - 2y)
Final Result:
10 • (x - 2y)
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
which graph could represent a function ? ?
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
Pleaseee helppp!!!!! Will mark Brianliest !!!!!!!!!!!!!!
D) None of the above, since it is not a closed figure.
Can someone please help me on Number 3 Please :)
Answer:
18000000 km
Step-by-step explanation:
25000*24*30=18000000
Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?
Answer:
Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9
Answer:
vertical line
Step-by-step explanation:
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
Hope this helps :)
This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
the difference of 2 numbers x and y multiplied by 6
Answer:
(x-y)/z
Step-by-step explanation:
Can someone tell just the answer
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .Distance between (-9,-6) and (-6,-8)
Answer:
The distance is....
5
Step-by-step explanation:
I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)
Answer:
I really dont know
Step-by-step explanation:
Answer:
step below
Step-by-step explanation:
1. (0,9) (9,0) or (7,2) or (1,8)
2. m = rise/run = (0-9) / (9-0) = -1
3. y = mx + b for point (9,0)
y intercept ( b) = y - mx = 0 - (-1)*9 = 9
4. equation for trend line: y = -x + 9
check use (7,2): 2 = -7 + 9
Enlarge the triangle by scale factor 1.5 using (4,4)
as the center of enlargement.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.
Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)
If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)
From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4) as the center of enlargement.. Hence the new points are:
For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)
For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)
For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)
Please help me answer this question thank you.
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
Find the value of x in the triangle shown below choose 1 answer
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10