Given:
Two equations are
[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]
[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]
To find:
The reason for same solutions to the proportions.
Solution:
First equation is
[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]
On cross multiplication, we get
[tex]50\times 20=10\times x[/tex]
[tex]1000=10x[/tex]
Divide both sides by 10.
[tex]\dfrac{1000}{10}=x[/tex]
[tex]100=x[/tex]
The second equation is
[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]
On cross multiplication, we get
[tex]10\times x=50\times 20[/tex]
[tex]10x=1000[/tex]
Divide both sides by 10.
[tex]x=\dfrac{1000}{10}[/tex]
[tex]x=100[/tex]
Solutions to the proportions are same because both result in the equation 10 x = 1,000, which simplifies to x = 100.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
what is the inequality ?
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality)
Step-by-step explanation:
PLS I REALLY NEED HELP! Write a function rule for the data in the following table.
Answer: Multiply by 3 in everyone
Step-by-step explanation: 4 times 3 is 12 5 times 3 is 15 6 times 3 is 18 and 7 times 3 is 21
Answer:
It will probably be y = 3(x)
so let's take the first example
x = 4
so use the rule
y = 3(x)
y = 3(4)
y = 3 x 4
y = 12
that's how y became 12.
So use the rule : y = 3(x)
USING STRUCTURE Select the expression equivalent to
[tex]( \sqrt[3]{5} )^{4} [/tex]
The table shows the numbers of snare drum backbeats and bass guitar.
What is .010 as a fraction?
In math?
Answer:
[tex]\frac{1}{100}[/tex]
I hope this helps!
Answer:
To write .010 as a fraction you have to write .010 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.010 = .010/1 = 0.1/10 = 1/100
And finally we have:
.010 as a fraction equals 1/100
hope this helps:)
Look at the image to solve this problem.
Answer:
∠K RQ = 115Step-by-step explanation:
1st step is to get the internal ∠R
R + P + Q = 180R + 50 + 30 = 180R = 180 - 50 - 30R = 100to get the angle ∠K RQ (same as step 1)
K + R + Q = 180K + (100/2) + 15 = 180K = 180 - 50 - 15K = 115therefore, the angle ∠K RQ = 115
Merideth measured 3.25 cups of flour and 1.625 cups of brown sugar into
a bowl. How many cups of ingredients did she have altogether in the
bowl?
Answer:
Step-by-step explanation:
This is just an addition question. If you have a calculator just add the numbers.
3.25 + 1.625 = 4.875 cups in the bowl.
Sometimes you can use another method. Sometimes it is shorter.
3 1/4 + 1 5/8 = 3 2/8 + 1 5/8 = 4 7/8.
7/8 = 0.875
Ryan deposits $775 in an account that pays 1.24% simple interest for 4 years.
Brian deposits $775 in an account that pays 1.24% simple interest for 1 year
How much interest did Ryan's account earn the first year?
Answer:
19.22 US$
and
38.44 US$
Step-by-step explanation:
The interest Ryan's account earned for the first year is $9.61.
What is Simple Interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Mathematically,
SI = PRT/100
here, P is principle amount, R is the rate and T is the time.
Now it is given that,
Principle deposited by Ryan, P = $775
Interest, R = 1.24%
Time, T = 4 years
And for Brian,
Principle, P = $775
Interest, R = 1.24%
Time, T = 1 year
And Simple Interest for Ryan for 1st year,
SI = PRT/100
⇒ SI = (775*1.24*1)/100
⇒ SI = $9.61
Thus, The interest Ryan's account earned for the first year is $9.61.
Learn more about simple interest:
brainly.com/question/17960050
A house sold for 350,000. The real estate agent makes a 5.5% commission. How much did he/she make from the sale
Answer:
350,000 x .055 = $19,250.00
8y = 4x - 1
Find the x and y intercepts of the line
Answer:
x-intercept=1/4 y-intercept= -1/8
Step-by-step explanation:
First, simplify the equation, y= 1/2x-1/8
Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.
To find the y-intercept, you simply have to keep in mind that y=mx+b
b=y-intercept
So our y-intercept is stated in the equation after we simplified it
WILL MARK AS BRAINLIEST HELP!
Answer: No it is not, because 544 does not equal 256
when you do 12 to the power of 2 and 20 to the power of 2 it is 544. 16x16 equals 256
Which statements are true about the lines? Select three options.
Line WZ has the same slope as line XY.
Line YX has a greater slope than line ZY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line YZ.
Line XY has a lesser y-intercept than line XW.
Answer:
The answer is A,B,E
Step-by-step explanation:
Step by step
The true statements about the lines in Trapezoid WXYZ are; Statements A, C, D and E.
How to define the properties of a Trapezoid?
The trapezoid showing the lines is seen online.
The given trapezoid is WXYZ. Now, in a trapezoid, one pair of opposite sides are usually parallel. Parallel lines have same slope and slope of line parallel to x axis is 0.
Now, If the line starts at the bottom left and goes towards the top right it means there is a negative slope. Thus, the true statments for Trapezoid WXYZ are:
- Line WZ has the same slope as line XY.
- Line XW has a lesser slope than line YZ.
- Line ZW has the same y-intercept as line WZ.
- Line XY has a greater y-intercept
Read more about Properties of a Trapezoid at; https://brainly.com/question/11083447
#SPJ2
what is f(x)=x/3-1/6 when f(x)=0.5
Answer:
2/6
Step-by-step explanation:
f(x)=0.5/3 - 1/6
f(x)=1/2 - 1/6
f(x)=3/6 -1/6
f(x)= 2/6
Find the value of x. The diagram is not to scale.
Answer:
C
Step-by-step explanation:
2x + 3 = 5
____ ____
x 2
(cross multiply)
2(2x+3) =5x
4x + 6 = 5 x
6 = 5x - 4x
6 = x
Select all input values for which h(x) = 2.
Choose all answers that apply:
X=0
B
2=4
x = 6
D
None of the above
Answer: x=4
Step-by-step explanation:
The equation below has one solution.
9x-10-3x+2
What is the solution to the equation?
o 2
0 1
0 1
02
PLEASE HELP ASAP 20 POINTS HELPPPPPPPP!!!!!!!!!!!
I THINK THIS IS THE ANSWER BUT IKD
Answer:
x<-15
Step-by-step explanation:
You switch the sides of the sign because you are dividing by a negative.
-3x - 42 > 3
Add 42 to both sides to get -3x > 45
Divide both sides by -3 (when you switch the direction of the sign) and get x < -15
4 hundredths +8 hundredths =
Express your answer in standard form
Answer:
12 hundereds
Step-by-step explanation:
Answer:
.8000+.4000
Step-by-step explanation:
what is the fisrt name of mayor dimaguila
Answer:
Hello!
Welcome to Brainly, I'm Euijin and the Answer is:
Walfredo is his name. Full name: (WALFREDO R. DIMAGUILA, JR.)
Step-by-step explanation:
The midpoint of AB is M(-2,5). If the coordinates of A are (1,7), what are the
coordinates of B?
Answer:
(-5, 3)
Step-by-step explanation:
B = 2M - A
B = 2(-2, 5) -(1, 7) = (-4-1, 10-7) = (-5, 3)
–0.4|x + 5.75| – 4.3 = –8.7
The solution to the absolute value equation –0.4|x + 5.75| – 4.3 = –8.7 is
x = -16.75 or x = 5.25
The given absolute value equation is:
–0.4|x + 5.75| – 4.3 = –8.7
Collect like terms
–0.4|x + 5.75| = –8.7 + 4.3
–0.4|x + 5.75| = -4.4
Divide both sides by -0.4
|x + 5.75| = -4.4 / -0.4
|x + 5.75| = 11
x + 5.75 = 11
x = 11 - 5.75
x = 5.25
x + 5.75 = -11
x = -11 - 5.75
x = -16.75
The solution to the absolute value equation –0.4|x + 5.75| – 4.3 = –8.7 is
x = -16.75 or x = 5.25
Learn more here: https://brainly.com/question/5263851
Pls help me answer this question as fast as possible!!!!
Answer:
equasion: 7.50=3x+1.50
x=2
each hamburger is $2
Determine the relationship
A. Parallel because the slopes are the same
B. Perpendicular because the slopes are opposite reciprocals
C. Oblique the slopes are different
Points A, B, C, D, E, and F are located on the number line. A number line going from Negative 1 and StartFraction 3 Over 8 EndFraction to StartFraction 3 Over 8 EndFraction in increments of StartFraction 1 Over 8 EndFraction. Point E is at negative 1 and StartFraction 2 Over 8 EndFraction. Point B is at negative 1. Point D is at negative StartFraction 7 Over 8 EndFraction. Point C is at negative StartFraction 2 Over 8 EndFraction. Point A is at 0. Point F is at StartFraction 2 Over 8 EndFraction. Which statements are true about the numbers represented by the points? Check all that apply. The number represented by Point C is equal to the number represented by Point F. Point A is neither greater nor less than the numbers represented by the other points. Point D represents a number less than the number Point C represents. Point A represents a number greater than the number Point F represents. Point E represents the smallest number of all the numbers represented by points.
Answer:
The true statements are;
Point D represents a number less than the number Point C represents
Point E represents the smallest number of all the numbers represented by points
Step-by-step explanation:
The given information are;
The number line with points are
[tex]-1\frac{3}{8} , -1\frac{1}{4} , -1\frac{1}{8} , -1..., \frac{3}{8}[/tex]
In decimal format, with Microsoft Excel and Word, we have;
-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375
We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25
The correct options are;
Point D = -0.875 < Point C = -0.25
Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points
Answer:
d e
Step-by-step explanation:
Please help me find the slope for all of these lines
Answer:
a= 2/1 b= 3/2 c= 2/3 d= -1/5 e=4
Step-by-step explanation:
i hope this helped
i am very positive about these answers
Find the coordinates of the midpoint of AB. A (12,-7) and B (-4,7).
please help me will give brainliest to the correct answer :)
% of female doctors = 26.8%
No. of female doctors = 57,500
We have to find total number of registered doctors.
[tex]\tt\:\%_{Female\;doctors}=\dfrac{No.\;of\;femal\;doctors}{No.\;of\;total\;doctors}\times 100[/tex]
[tex]\leadsto\tt\:\%_{FD}=\dfrac{N_{FD}}{N_{TD}}\times 100[/tex]
[tex]\leadsto\tt\:26.8=\dfrac{57500}{N_{TD}}\times 100[/tex]
[tex]\leadsto\tt\:\dfrac{57500}{N_{TD}}=\dfrac{26.8}{100}[/tex]
[tex]\leadsto\tt\:\dfrac{57500}{N_{TD}}=0.268[/tex]
[tex]\leadsto\tt\:N_{TD}=\dfrac{57500}{0.268}[/tex]
[tex]\leadsto\:\boxed{\bf{N_{TD}\approx 214552}}[/tex]
∴ The total number of registered doctors ≈ 2,14,552
Hope It Helps!Brad can type 1260 words in hour. What is Brad’s average typing rate in words per minute?
Answer:
21 words per minute
Step-by-step explanation:
1 hour = 60 mins
=> 1260 ÷ 60 = 21 words per min
Answer:21 words per minute
Step-by-step explanation:
60 mins in a hour
1260/60=21.
Stefan has 4
1
2
cups of oats. He uses 3
1
4
cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs
1
4
of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
Answer:
5 days
Step-by-step explanation:
the constant of proportionality from the equation y equals 1/2x____
fill in the blank please
The constant of proportionality is the number with the letter x.
The number with chicken in the above problem is 1/2
The answer is 1/2