Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answers
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
Related Questions
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answers
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year
Answers
Answer: revenue from last year 20n
number of cards sold this year if students sell 200 more cards than last year n + 200
revenue this year if student sell 200 more cards than last year 20(n + 200)
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.
1.) Revenue from last year
Revenue = Number of tickets sold last year × Cost of each ticket
= n × $20
= 20n
2.) Number of cards sold this year if students sell 200 more cards than last year
Number of cards sold this year = Number of tickets sold last year + 200
= n + 200
3.) Revenue this year if students sell 200 more cards than last year
Revenue this year = Number of cards sold this year × Cost of each ticket
= (n + 200) × 20
= 20(n+200)
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
And how much is an adult ticket?how much is an child ticket?
Answers
Answer:
A
Step-by-step explanation:
if a = amount of adult tickets and c = amount of children's tickets
4 adult tickets plus 2 children's tickets equals $36.50
4a + 2c = 36.50
Also, 3 adult tickets and 5 children's tickets equals $38.75
3a + 5c = 38.75
PLEASE HELP 60 POINTSSSS
Answers
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answers
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.
a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?
Answers
a. y = 5x + 80 = 5*4 + 80 = 20 + 80 = 100
b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5
c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3
d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12
6 (x + 2)^12 - 8 = 64
Answers
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answers
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answers
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answers
Answer:
2.70$
Step-by-step explanation:
What is 2 1/4 divided by 4 2/3
Answers
Answer: (27/56)
Step-by-step explanation:
(2 1/4)/(4 2/3)
(9/4)/(14/3) [Convert the integers on both sides to leave just fractions.
(9/4)*(3/14) [Invert the denominator and multiply times the numerator]
(27/56)
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]
convert the mixed number to an improper fraction[tex] \frac{9}{4} \div \frac{14}{3} [/tex]
to divide by a fraction, multiply the reciprocal of that fraction[tex] \frac{9}{4} \times \frac{3}{14} [/tex]
multiply the fraction[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]
hope it helps[tex] \: \: \: \: \: \: \: \: \: [/tex]
need help with this.
Answers
First one is for number 2 and vice versa.
) Use distributive property and solve
74×94
Answers
Answer:
6956
Step-by-step explanation:
i dont get the Question
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answers
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
Which situation can be modeled by the inequality 65-8x>9
Answers
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?
Answers
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answers
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation:
Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answers
Answer:
58 divided by 4 = 14. 5 mph
72.5 Divided by 4 = 14.5 mph
87 divided by 6 = 14.5 mph
k = 14.5 mph
Y= Kx = 14.5X
answer is 14.5 and 14.5X
Step-by-step explanation:
Which of the following statements are true regarding functions?
(Check all that apply)
A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one
Answers
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
Step-by-step explanation:
A, B are right.
when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.
it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.
in other words, it is a numbered list of real numbers.
and it is definitely NOT D !
see A and B.
Ab= 14
Co=8
OD=3
Find ob
Answers
OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answers
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
What is differentiation ?
Answers
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
(Sorry if this didn’t help)
SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST
Answers
Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence
Answers
Answer:
15n - 12
Step-by-step explanation:
18 ----> 3 = 15
3 -15 = -12
What is the slope of the line in the graph?
Answers
Answer:
1
Step-by-step explanation:
Pick two points on the line
(0,1) and (1,2)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-1)/(1-0)
= 1/1
=1
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
Answers
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answers
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answers
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
Answers
27/2 = 13,5 miles
In 1/2 hour the boat will travel :
13,5 x 1/2 = 6,75 miles
Ok done. Thank to me:>
Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?
Answers
Answer:
The answer is $1,215
Step-by-step explanation:
I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!